diff --git "a/find_xor_beauty_of_array/scala_tests/MySuite.scala" "b/find_xor_beauty_of_array/scala_tests/MySuite.scala" new file mode 100644--- /dev/null +++ "b/find_xor_beauty_of_array/scala_tests/MySuite.scala" @@ -0,0 +1,32 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.xorBeauty(List(1,4)), 5) + } + + test("test2") { + assertEquals(Main.xorBeauty(List(15,45,20,2,34,35,5,44,32,30)), 34) + } + + test("test3") { + assertEquals(Main.xorBeauty(505158847,422555992,264373222,797146302,663042489,920748758,229268845,482858134,82207586,20168250,38634252,72745733,442741073,312895991,146558914,582580430,490867611,681857492,93938221,188814465,41973895,833337936,645836970,878568920,995212014,543966868,385034867,339122148,188606365,443286702,268760456,984224134,906706798,848223645,737987584,314556969,766441780,993042558,964269914,467762308,359628959,420230421,130671737,110402909,788223606,946911588,314473138,162529018,263169207,497834683,876684617,758967640,230954398,806243060,649183296,470843661,331284751,393357263,790458102,804926803,540822039,577334101,332242474,179595474,441580777,783006498,203484117,43270320,900555964,622249784,196937671,436072015,790547257,479126872,113665109,658344492,559215149,491002686,716197017,379251857,24840078,856953695,322428467,601790441,639869523,29583075,883596015,495256792,879910465,913825737,126712442,456294810,940376834,159264785,985779741,571273143,175713656,825821799,517996836,706801391,761975666,187628806,701549164,792802594,748092883,308134871,443320451,17995596,186314946,884573218,357154529,432592850,807105808,610927465,659819948,905128982,265301872,250192406,65701159,860595556,427042702,538049558,563482730,500433503,668440898,911311639,894923837,102571192,692581697,927918760,138064015,421421983,605596453,763995152,84836081,592171772,415071321,90044462,737563615,294168985,598009841,220810112,369926886,671549389,927937065,539899002,61361783,603001915,20128133,188214232,45725811,790147835,318912004,952788348,729194153,947084070,259995951,650190865,768597366,169388920,689613860,717893867,443299284,840352760,473966036,772635835,728259817,592099524,397300115,282122077,198594012,455490125,153598883,859012318,530733657,334981300,420867138,893979592,790352623,550627776,370711310,404247867,734084146,814081248,183999351,351905608,435203843,396936235,688521382,327525772,387267451,490973698,195083326,554259806,569776416,901916488,836181093,640625171,839307655,361153234,909534809,257274641,794153057,753423022,809060523,959970826,340076695,400987876,839412952,752619730,981869526,711523757,628290526,71428101,32380104,881040323,510128032,695418313,428034775,552992185,547839607,14437011,499272112,833720035,669345124,199244738,492183822,886522756,267010778,573829164,73363644,300543751,157200569,124976693,718462819,392265095,165796563,397166105,826723438,112882624,734109314,133544919,263605166,559366227,757751199,16902398,326562097,300996013,620392073,330908133,740304565,243265171,739908881,174502690,991795205,915058612,758072095,648926114,66235088,645743115,69008240,428630632,90279425,990819896,496026436,130079475,48311115,481214125,241132086,847511201,333469534,675161807,144895206,216291983,269237811,913077723,32496889,964212023,727106662,970968689,593461491,534227849,344778818,767002591,955974781,169250614,167578617,116844850,971482565,653029616,198933229,845354895,485404436,58358836,25581140,218646614,698277692,649369989,365406890,398921995,700764679,635374562,784110199,200037804,701992120,139107131,492620392,487540734,455956605,450044424,726301475,69890611,631556898,487635655,602645828,973957984,705149245,683270625,234905863,991973598,773797436,480548990,641692569,919881844,488972471,399848798,886960035,825704039,958662143,713612800,455037480,494167989,42705059,578552784,508504384,616686366,19273749,793783788,333818836,199506538,619381410,537888316,387791495,632965295,816598068,631624510,362260693,857412255,311195097,494893596,120437333,477511201,983776303,72506375,467837159,102313329,557149610,227253573,659804471,355033880,517133843,574588233,384249253,797051605,517943719,326799542,838639874,456343549,111765400,610348300,686439688,221194277,70392244,529434360,704652258,791329400,672921042,663456091,763617904,107673627,663796000,929346831,930902720,306672,179030728,978944445,990208537,918965686,148373015,765811390,279157451,407749403,595988795,645501980,303934209,102410452,139808615,472149443,968231574,209116641,62958359,614046595,823785048,186088293,440025625,200805194,782770028,317836709,852854536,735608208,339261347,927348887,971206036,836931431,81436751,586582141,953233702,379290591,43196551,496882912,955959181,91502584,305161079,374033992,293136010,325757444,26648588,460696606,925218998,826983158,139635222,31180851,829083737,242443604,975557330,474870293,346141857,543277779,806823705,444798497,742693353,14201370,339174664,904720045,858198027,969658504,807271962,374880217,825604060,724297215,172948707,149516915,918112249,65053927,406405846,796665660,644722228,468796375,203611733,562018397,914990840,285446392,994690325,205406414,589469619,815737561,386171959,179609787,650190924,464286785,626720494,182543146,79636019,125909433,870281678,887485489,554695414,882319452,315739439,695229423,557802956,457508830,902294178,68170406,742793835,420068717,757777818,315470775,559896747,823284802,952293451,313592986,147096992,270708976,850333859,223731589,790464421,269445143,19963732,436636060,196269894,59926094,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633,41074363,826301282,894436789,333069316,714753151,730212601,153321743,687787400,611700870,394268705,460849271,475711224,78177773,670866082,205951676,696938124,782355427,906972083,714840583,728073593,161490975,181802753,345154329,166751635,16402388,29905178,480581822,996759574,47801653,442371965,51011767,88261357,863893521,33611452,321285988,53806738,66661078,11710322,322881927,603171046,441305624,181830166,211851770,647074493,379798316,663873368,668739171,540372550,925883178,307994022,695495374,372984405,473441432,237148759,398627993,191510191,961196262), 805665630) + } + + test("test4") { + assertEquals(Main.xorBeauty(665731976,304126203,840394980,424555913,486776636,197116452,568103249,447706643,18435176,925126600,81191544,40140057,152863337,667807329,637385749,290176328,264624473,981200634,65856074,796888884,781806258,594771737,862538427,144180193,989105941,865719086,56799157,885194357,293388250,715890000,49800779,400088641,987874390,550805000,615556900,676770327,244054775,608907214,919233753,380082061,320267252,769818653,373804604,643463994,316232861,770247671,651371998,774624678,796323498,796660684,84587021,348555987,582680286,47001472,812562749,620596305,191683224,558456036,486187277,720114730,806799376,256706015,890911730,120014086,200854769,523139409,245729439,662168335,280561195,218455425,145609669,682914734,11123606,912484105,497532917,692858722,570858994,742419542,936616173,919441860,718673813,934114585,742313071,153154719,226523349,110121154,863612925,529293216,511844325,855003108,921456019,452789737,510361051,866428874,473827167,692289828,448432885,944744920,465295105,4475204,330097646,230094495,725483401,414648264,513747123,335053306,935093578,11862293,155797218,475968163,464018387,149618728,7457536,904849446,174263782,998173323,756746042,69489438,972463203,667756345,150833747,552614402,640719920,500710383,738807570,796588952,708361781,888294621,861051863,219053666,71648257,847011358,468998301,498222531,734576052,614291458,689020552,528204187,721027999,185805063,851891749,149168423,842132485,905463060,320565002,309936152,715807499,226764696,361514231,536616710,792265883,751044939,164318027,892430407,538611856,799543719,667042493,995383368,603178366,368866718,289545909,587266983,992363880,620036396,687515874,712742421,103471608,871228454,473940530,878875803,967271961,532559736,638170676,837829114,318616005,77786369,363722512,858308130,718645753,936028773,868888328,457138785,777971489,422666857,939995268,497885589,199682846,895314297,11391776,352103123,527767996,877825698,370958646,490053731,168237740,629514658,89054554,261207372,525902200,290578014,537778528,765417979,3263103,533853479,584712750,204344747,87569993,807879460,778048422,380187281,968852514,144955473,755296066,147476330,508277296,392292619,321262811,727686187,683285307,149243045,612958278,90768696,175149052,27256486,841465190,111924290,447581510,936284023,728861501,34639348,226010712,138384994,299818764,570548039,949869697,537941653,717092304,804293708,762591983,88739202,845074623,229296131,468473978,507203871,243969042,449334718,641551901,540482659,187284608,667100650,926877164,816547273,870129940,416044503,526062200,361710192,160063989,707394782,931399675,791918773,502918027,471159190,695579472,400699621,35144250,141511587,587527250,214231804,752098056,794656108,453054386,625546618,544472569,540069688,551515287,112455455,78287419,910277769,600498655,108481614,796871087,685347781,555803442,807377034,59613960,731378309,95158618,563277499,15752283,486861380,806288971,359812507,624310220,582228938,263123879,135057410,272982467,803676061,397742180,683120074,266751729,282593143,910733412,328583984,232451810,464208794,227981452,665333459,811863846,994901038,837026835,963997539,696463212,722898938,82438340,64514862,865525857,19782521,897410054,556712669,40050789,195866439,941589845,102194112,617325476,72952241,611161458,979267025,346580718,990387400,168448709,616012361,965574386,702994379,70560786,941654158,704931954,639235187,157734823,616466228,61739818,374729985,636059662,458881028,733757559,551603249,340478934,459377968,765227417,386919458,788563379,699217073,594242065,826417107,581552233,128146574,195080105,374930232,65971460,793716787,553509520,74676948,26530368,398983810,294947628,319289375,918555293,366253299,477660445,75868752,284654072,595428906,873442462,383514674,747474004,239855561,206967903,919953758,27594226,369421645,949990631,887962503,296595220,167247669,967124448,456012268,856043213,334213007,163759677,586202463,232003223,442723953,592646229,653866925,806313722,959324637,824491332,259804073,638626682,283699813,759644890,974934232,3604309,122153197,316087782,494695984,93557555,907519016,371148876,229254042,109619884,709594598,161802424,500830429,447597768,330597919,613021135,502131828,875741661,411795644,310168660,912139326,955832067,69421200,348534811,417033594,85480312,397185815,988901613,102153424,248829799,312064285,666989778,895579055,143486007,598513761,177092636,658855620,238454146,680329533,27714551,901189335,742085851,865799130,935327806,635328032,476083770,696618312,626367255,992491743,734751737,53443855,749199751,318295780,34422050,455774317,571406595,166005936,575130252,106245286,668872435,897390090,950341567,381691099,297566067,929352812,167094890,358999041,211213076,337264936,397857021,89272406,817561492,837940970,564376090,814715971,328935665,80385510,998736868,894209348,666063843,385506972,773187503,773987069,831676295,300668438,359265819,42052289,716113343,76282278,954273250,878998741,413048604,99901271,505837279,653689162,661784568,447931264,334623557,417086186,919882339,365044848,41986804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500794555) + } + + test("test5") { + assertEquals(Main.xorBeauty(671993414,188183259,44434878,726409028,770734492,23574403,19045901,99226952,583574937,439435371,935624261,649943029,354790974,816653777,799073215,978548781,899931987,185319864,491028761,267252844,57807036,836625260,451074304,750385421,526508110,414713210,761705210,252575156,613776577,425195751,901454497,558697917,857953675,948305914,96597859,546136984,335021682,295820113,448378976,358599310,62794320,557348278,369027197,25254452,792054669,706731453,685667601,510532450,247090308,222365017,650552042,869539575,880075568,720053080,263061187,666786539,711958210,862958222,720631583,878869638,153939362,946714487,749842976,677426894,34246578,176531150,134686752,182624424,713803287,653740914,64096873,628705105,53498883,170655075,242781039,967021037,290812943,320911243,190794249,450937477,55248963,133952568,71023580,334838418,872569995,832318502,638964881,418337484,101062228,458672604,664526689,872954986,212211130,870680511,389556987,60862227,115041299,572883198,165755307,646976168,579305973,971020996,69531916,708929737,268197713,500293358,612636735,813685370,663211318,768563710,158714770,149350348,609990146,584889218,165832815,131926027,227283544,825734222,338131233,940645056,145214717,205589013,556542732,824634430,115772516,695030669,901582085,897948732,710444479,85526519,711365095,894524507,301183617,684988118,751651046,454250751,96761589,432737575,743117781,330919178,692724040,335591250,869329126,616613040,726801438,704544460,99196420,272731534,348995847,188139011,223298760,282779206,559300736,54035865,782621316,897903501,664318728,220077225,981273814,803505024,669553219,972895783,166878662,284582229,923082123,517412108,59936630,394796706,761003511,539608754,659102064,871340524,899134163,802590705,739989078,882481376,744656055,439538807,728906564,500373229,30063070,116093128,877368970,54483999,84580049,246808874,607918421,465662231,422873111,182691794,924568830,405028567,580683606,584040736,206731831,17445331,401384996,973472542,994158528,546317491,34195525,243421862,149039782,149822108,218935317,857597916,405751675,394249433,167632193,702415851,77351532,818530115,801174977,323758332,688549544,172281091,318475020,918173712,842339016,582443611,540829795,119988052,996300978,30648453,98055055,983322880,412175630,792079079,1378165,377696255,416063392,758467199,195533988,798123574,857984235,208910261,968400675,763965039,534982694,303670640,217497369,786692701,438505475,463739615,677823036,26974695,659845749,154488339,149830444,859508950,123987427,875633845,176988708,847294507,213675980,105812266,5348100,215400675,819819375,356626117,691193708,332343256,449364429,350058826,771630047,733123728,847104558,53370414,682618795,641696258,264157413,847427572,671645278,861926857,472320604,113309669,918630247,440328100,488431563,522612416,406320859,668126081,628859977,907514514,224342514,737787689,815871798,741401547,633791147,82309402,749533147,250163933,411914799,814188172,776042576,860533545,129877215,366067714,346600749,680613988,541026931,290357721,442376319,902545565,226392349,794591360,250668804,463352558,626312575,849297440,206554021,985537945,802665375,538918708,306996781,460837330,983619428,758952526,59466185,935750996,991714145,959338552,204005416,37132530,251030604,671030584,855751517,128534696,480334795,547310516,707726263,549231081,488334114,988416192,694679292,918429457,694189411,501623239,960353021,52153060,295454301,421415021,503694186,135924017,465374340,698817286,736569964,587759731,589416579,373989303,991089037,538450082,427394162,732424503,962304695,541748884,34629666,295985559,320248585,314782704,414011990,602888070,675663924,893693074,542679819,277906008,305378456,586236939,770183514,16734080,130896591,777431726,99354778,565527529,734870533,764151936,703618205,168338827,164823736,126981966,707879112,715775804,32176642,568555148,44371545,760712191,965459610,58276959,436660859,713082076,741640498,917671519,676811948,711055205,348271797,319378704,127201507,796222235,380853087,155060829,628648014,811170352,733135610,909999549,346358563,607631675,295037137,597756542,815556075,662690911,521260757,376818106,808323772,392161880,370875022,492881412,977904197,834773327,549831444,847818130,987617446,262474738,94980337,699132078,532265836,25275806,151571246,643825055,422991272,77002741,610656340,763190169,960063097,453952308,726785820,574826322,603606031,455579744,296654360,200748540,131365699,344557721,609367394,556587462,157544323,657001122,600058523,227046691,446262370,810910315,817976436,542940365,942515768,1005017,797604390,626110126,736854196,175877847,780362917,125058718,945173084,857663919,445339969,854368337,822746718,176890135,242834479,400367847,17182912,119634145,232136240,321599372,651901537,581595337,318713039,579115816,439136342,76347656,86934217,888868249,924748494,201896299,516764634,219485789,510513027,582757954,726666974,978702412,350151730,174777796,975622445,714947155,546512066,458962460,29370064,453565277,983891119,426608888,579052366,551611770,459322289,79374032,702498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29536059) + } + + test("test6") { + assertEquals(Main.xorBeauty(507936710,926600644,918085196,802564949,464210627,4803868,142333703,93526999,607945950,631101916,766174979,315196227,785712812,751809558,730818650,54925110,445553946,320724815,368111481,450386584,483210745,246207187,593547864,113025895,74108176,298789671,118111799,319685118,537828946,631936228,296364347,559967281,33134298,160312805,545690501,83773988,668266636,796509795,568130207,307697681,733297331,381847695,612259575,437817985,795220551,14810850,451701351,975577660,943815606,710163890,873628447,449948544,273188278,201898232,196098836,977532277,787945779,504989126,907801552,358205723,741535961,306177312,631727448,597449229,825109529,637437687,556297764,768091428,991332249,557368143,537495585,386904937,846391318,893508848,95011898,585316533,499662946,421799287,272179300,383832384,415013161,136837028,516735001,960727470,25336942,196172357,875017606,243300763,455817528,392738982,280030752,764928724,221905115,200523413,867204907,933131153,250377232,50978985,495887380,546140739,212218991,713999156,880335555,520686835,741970471,437538866,741404021,484498898,889976675,682470091,581999826,788204994,285948250,523113420,888924689,893280920,555294094,218317556,132479211,733353641,956767698,41269162,218518098,594823698,391019615,952959366,30757113,698366321,338971309,836768976,525442820,595055482,10922889,672532437,581121226,724476312,284209652,934947022,349878372,390409772,93653107,815626344,192049524,69237249,440877170,809868152,164471663,890816380,101033093,668491191,455063071,83825723,886002849,187942425,190617587,324633911,42326034,563733218,458850350,2174310,507825941,831067155,690070392,76906499,991319000,47623481,74403774,686320665,260657328,997071201,66739270,424218196,752309752,423175471,688598494,468961640,387930870,71983410,392061690,316025133,15699577,932204169,130076864,916089344,149299236,311266240,883705923,285279717,514239343,534309430,826774898,920269204,930270325,235871865,851738455,231194292,659620821,18796063,404937307,489479472,867843610,981881818,310172159,87897034,134155625,333471730,781358102,686655368,733622087,959374502,796286688,967257208,686670425,207564197,586087873,563846037,419302444,250564157,360142986,958778812,564856285,288813941,873985394,204134667,617401274,595843852,280189011,857891793,241652969,998330121,991277155,675506933,638843164,646172348,105655042,34618957,589125932,770343019,868342767,423102572,179530614,981962128,611052703,21532210,698696904,817055877,206898336,790285366,422178152,378064664,477621393,277564285,39216439,183062416,979127138,710301531,262392250,861262707,262115170,403447143,923673731,618922011,12992005,120204857,86257839,908883225,850950381,231763238,95265764,46852108,343600736,825128805,138459472,234904576,280232857,649373271,453165105,668607986,336782781,555826838,522686903,650501480,336944572,240343823,97994304,178271747,51189907,625188609,272277841,58621140,486308487,108245372,89576348,796611596,70659370,825837,343954855,570158401,260423999,327568608,546559246,44684420,550264141,465167418,307382600,834159099,787530422,876828646,937163727,466574341,118636576,398768173,726909721,906548390,684493531,872639200,225952932,638707780,592709940,687680050,837607588,154832889,897681589,607895091,678591291,729628349,718427710,233207294,196503662,731855689,245183703,577048379,365213881,461951571,747601533,973277099,308139953,621906097,304931757,224538739,864432701,18335834,492203951,77248867,104703308,932480869,966544966,984475273,788378466,253643676,250967488,417767527,624703464,815416739,334052404,551531638,368944882,808069616,443683464,841903065,36085154,25988058,836904339,284728652,920760634,907790191,424401719,34969963,659714141,987575310,272456819,860914389,319941063,7173452,410313775,665602097,93622567,646167781,690012222,963611591,600784947,397212482,103219569,143997498,125007880,841699706,750142227,725358634,569823412,801384431,541887330,307032565,627537082,769026174,299901920,472211355,200929477,570668669,136919385,676262057,384678222,440665010,795034799,192213370,73733149,694712659,10112954,523650924,932286337,603851958,463694862,825325632,344328872,13223187,23693101,778985828,677980853,276971352,545978941,621392751,100743765,416320115,467657483,843253247,789170810,572774264,293545418,781316340,648933531,108863340,437432089,288821082,35013278,257422793,570842297,309511894,263432037,863307971,772233632,285581555,248628252,495979555,863779852,942316789,346265295,838103227,131454748,63131055,503598003,830327738,448491488,352262609,146507395,925545529,492779551,800690640,925910699,71131132,566874364,323451009,916818559,365203401,850395271,578562888,749913346,780675046,584678288,968040151,465295377,416124838,676464367,679545599,268083981,53700601,29117847,79110159,112290322,130975550,278449809,744278626,173362828,148031344,811289458,558070089,418720610,242099518,108141530,596238736,9945699,703936403,888249314,861337431,9486862,43564583,957690087,678842782,433562769,244394960,16326105,946806000,462137644,346901532,366262326,667931225,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11,176458335,162791256,344205851,644799300,382487179,834837172,892046864,727618427,193418631,884657996,883725207,724400798,976299053,335509318,667045884,648215981,561055351,155940128,754346990,175837891,440161230,816136352,477158422,97406728,428605121,853529200,388366982,573675169,163498425,312536131,803449384,297955295,160889743,138596455,157984649,195492945,399180854,390427282,830835414,81822129,140530116,16768372,582724047,606683286,375332591,604486021,206341389,200146347,270284759,68678001,256510804,377589825,821699622,197687337,214319528,996691412,265921798,384863988,611311863,723517471,40006697,988101487,924734757,486449008,667094614,948851657,370146006,931966648,285206864,977376853,973310352,15524130,133487739,912692971,809594590,255500482,933321158,367626993,648875152,278966949,137958464,561671565,728437949,21638978,389159813,853609416,221049839,82033114,177867731,519082557,682558449,467435449,343384427,901526967,516356272,403782907,35735,740519949,545997511,221304722,561662795,27413699,952182237,773910177,732448300,10729104,218078782,712597166,682331250,919180194,931012175,904291113,167230182,200755625,833831476,299828394,721418905,818160297,877126471,896728970,687529519,832690198,105194774,718321963,315121624,895834452,511245560,637813625,449170963,992007135,969379018,98894853,72340579,753379325,721849511,946244931,681074621,584463774,893122005,140057223,813146566,16078159,671426379,462167080,614329781,952754231,431292981,577582320,873161714,524725257,713865809,404532735,117405026,97774382,465302795,120119778,245823825,766378730,26065632,876766079,585354784,898661565,505378440,243082093,536666338,664001271,180204178,431881019,333240899,802300210,344682225,45823687,246602659,407105769,902361639,374102222,108541630,475993249,290973257,416663760,110263022,862943947,884226400,782944099,508435761,767747979,208338190,402010404,690090405,853668203), 461537454) + } + + test("test7") { + assertEquals(Main.xorBeauty(874986814,845131997,410992177,975351612,799615441,141014043,982348412,875321130,603284560,909644094,86293870,863125715,393051870,665888957,421377676,501478437,597605181,84919578,686112552,882545691,481901846,119990242,728182612,38378013,748120952,114058528,743214757,799858391,307295644,279749620,869278105,929255155,346007046,937262228,470720784,947388639,484699769,587652517,114664972,506811661,871586837,49613988,503591795,742547501,769751318,108702638,540501334,645247857,905273916,247794745,503358878,416427002,914979052,192766953,211677902,904147995,272659615,363254296,253306125,385086816,369664594,468063739,374362332,371080050,320284124,271871157,34815812,534536683,360935298,185415294,286550098,272567119,243093552,240509884,600486447,945262204,797715055,531697528,569091258,416496701,198961360,498412509,251148484,85076287,568455481,825086259,828194493,545065358,885085851,182207089,596929402,790380754,535775919,186861950,788150833,867250091,583749747,948735513,970606330,485269944,451718734,987452486,453323528,510127201,904432848,893444786,803163837,225862749,959821850,853594503,744621403,148365515,85689207,208068441,516732927,75800463,402209499,669468879,466671006,347555094,298155165,425095213,39931387,882777617,69273845,694884797,531360447,646731385,653729290,934394118,920045197,341001526,9605364,768499394,689049907,692504499,234395954,682689025,480353696,15226253,804309625,302512220,372646446,953276771,99276185,977008485,529598612,327632528,464184886,648886567,503231784,440592897,593657794,927682676,883722796,568749680,505301146,783487950,383683956,619987142,206856316,382098618,763053661,290721404,267506454,544556321,919592985,420246547,23519010,188107661,103142688,119388155,678120022,687459583,604779900,820599153,771998385,870099998,842947418,57035889,873214174,989599108,426838317,8613600,938472552,731309343,389636912,71815386,614071055,987426007,745280306,789219353,679344370,330129286,791691929,682744088,917578947,692159237,974648355,561794614,457682917,591357768,797371050,269746023,726640107,635262979,567081332,504358378,702991448,852608193,522495297,192116107,319386420,902434212,668829474,617148879,8976294,665545062,968948761,878523222,435983217,626310690,312243255,972583220,242532289,71933886,341791943,736355241,797906447,692957609,685954353,425844771,118128615,144011924,401043088,896300740,643070770,32797118,314171065,122595571,405742284,165479340,184170992,145289518,513751504,936374438,989608474,908664718,8781026,88921688,779506503,767740757,609157992,167437315,112661748,728777519,531599890,44058985,684755133,36000867,299927596,670758787,325588633,983135598,612825858,609366082,990733245,296992372,553483213,679839040,110334069,738419757,176529455,118216335,185674531,679706647,196606258,432799253,188352817,461694802,327383692,140463592,951645467,475351798,681232927,125185331,313857573,342545568,231096797,983343687,642628028,828318977,377749303,378768904,314778051,112384715,738999249,452285736,194885570,372133035,739851281,561225793,828626844,844512760,154575715,290324768,619940086,440391105,167301746,71846541,38532045,941022146,431685106,137873594,695064278,675754415,365430000,877129037,877910565,541048230,412915861,656060159,725666926,200583408,646644216,850637103,37483573,901603141,695972944,76556313,521902694,861385439,863160945,26058973,370225657,822756169,524642190,552465183,154496675,852302110,550965577,131354792,866513740,860659436,677222724,858340569,87128601,138147734,908213297,897253287,536279871,757853059,543625850,679523435,38431821,195533681,265011868,555189219,989513234,906817214,936230610,785714698,14034422,947813735,469750546,347473014,84917282,856400076,185256230,247797110,117926355,384180350,390802594,989783010,126566224,718985502,194106123,54535372,325298099,377551861,336640326,276024058,455776321,338211476,369626138,516040453,481262451,599829133,965939931,709711126,181826293,974729510,891745606,729313311,285900324,646382571,446470803,676309289,831808493,254046720,509654418,482867002,252854930,722080090,89334073,263081285,413927335,296132966,905535688,77755892,145749304,267633553,772779444,258082012,730258613,369740866,124501245,115561306,31939921,287880916,273815659,30953878,739477743,346472052,615575344,982166710,49339345,259373601,198892928,862062894,837958379,558323183,911432016,356497325,786116376,134883198,14160615,470906126,699477685,685608206,194306311,499489914,343852264,881513530,526002528,865192938,128937158,887719382,990647463,30310530,231939112,718823582,368251734,53053510,204957765,802468417,380090887,353951942,384054358,877014606,82628191,307367394,476720966,996410157,593247384,502115690,392797514,318049192,8693225,491129661,316841700,403664891,166604726,550227789,142253358,905789646,648421140,498601415,19739952,866729254,399285869,982489247,132257669,121249079,550296558,766432499,465498208,51733638,986680880,93785989,651997518,71980538,370926576,584140302,508622663,366723778,372688249,36920482,939377280,216281224,699463254,694286900,889860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