diff --git "a/beautiful_towers_ii/scala_tests/MySuite.scala" "b/beautiful_towers_ii/scala_tests/MySuite.scala" new file mode 100644--- /dev/null +++ "b/beautiful_towers_ii/scala_tests/MySuite.scala" @@ -0,0 +1,36 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.maximumSumOfHeights(List(5,3,4,1,1)), 13) + } + + test("test2") { + assertEquals(Main.maximumSumOfHeights(List(6,5,3,9,2,7)), 22) + } + + test("test3") { + assertEquals(Main.maximumSumOfHeights(List(3,2,5,5,2,3)), 18) + } + + test("test4") { + assertEquals(Main.maximumSumOfHeights(818285741,607617451,735866601,598930260,899460492,2660828,681419595,382919309,242080287,388065900,323211807,956267513,677700970,520928405,346173939,837978437,248064270,111712576,527845439,427290128,112497440,415269802,44851045,945931176,224293580,493570801,181595623,279427297,974284345,361915861,557846220,573073192,662548241,866043187,746404240,263643381,109799700,209982734,476993083,657520904,958025636,904357542,950624906,908851112,79870897,104665668,363153334,306148615,266642131,121194818,878980274,973322489,138806049,272019913,523850767,967211476,634755319,637438226,723483748,157587138,665103423,865519438,94581768,435107176,636916072,167269086,272742032,463917477,118057027,535059788,201629118,641491635,155302095,198437539,511947040,607028373,811541635,894867645,259954822,966056654,119182131,662784155,851639150,592763532,100030581,854698198,329443338,445815365,655180386,937211466,242658889,592633677,592662893,949170481,85657624,79848815,326624548,547118741,793091007,596966086,94233384,181005445,287296993,785303945,204447656,745353782,629955908,377879923,850321373,405005978,65889481,834204314,37214593,214977592,644659150,380004441,977488082,518118483,660711440,148463404,369410241,644896135,148355047,901170625,165948519,240323580,849191302,557105925,834520743,157033990,422933718,645603024,209523303,719973716,440788456,937908805,53474534,684155412,704411589,542755485,928230898,913298078,198457961,666245321,407912282,451654776,664627312,40582907,312494819,12579068,829353972,586547233,955969463,607630394,508010831,327844070,582887257,170638808,560335121,345463174,987530442,782233281,696349587,168374901,961728630,25328059,374842222,352487356,780315232,275284806,122291764,767539587,732157586,382435456,704168101,780483660,229695933,321162423,779113225,798012386,877675756,987897290,175575260,562294849,44166952,632084182,678649732,234739651,197245996,761993109,688957253,167356532,683231812,925903417,185316958,523752144,178721251,208404659,40855463,689126495,14240478,255737858,125641504,319923316,116241288,926353025,785300381,309799258,897261539,870721862,225635387,368443666,789181232,500776889,78319445,960904272,579772405,181725458,530797663,286924086,340160400,806411863,710737303,850342112,990469666,187989778,382699140,300845149,39456894,616375109,220954643,882717246,298080424,118436280,146118841,109429501,183048289,699645745,409499620,17810928,994554230,559507045,935986221,778005675,507414131,777038875,898395185,916552872,415597506,473065353,17766052,977110332,933441145,193290912,345140127,325335905,352137489,739643019,659636061,389225125,615546853,809478238,541555385,657944990,118695083,643492131,43747575,641790050,971782093,940842955,458039747,578734807,999882336,347461585,119240039,867307124,281077534,923497878,815901687,404932971,235938385,675646730,211876241,794029018,531165925,617456307,793294668,233815442,132261273,740982310,545151594,818267500,255238234,116349409,365602299,529272855,295656640,818983064,570937063,674774536,756611101,83291278,445653154,626336727,39395959,207510832,32722431,370025066,804112601,244328999,482455067,305654045,321235687,972820992,984771924,407168498,180034472,722613892,463603177,253255505,288236511,683584626,463042520,103730694,752342297,448505193,84701398,714745644,465982242,371700035,491539912,538841467,532185805,5857418,514645400,611714681,917502632,266810775,879654134,385277231,801177075,899673273,92087864,232008529,409044815,668252626,942132104,256859730,454176281,728302448,504949251,933749785,184727706,90350857,124392318,97651977,741166063,37725690,672347585,966841759,655427105,803853370,675363812,808578654,586577170,697364493,536591866,49252440,75538348,608488237,142257226,60975130,25089456,738498604,798331369,163086769,256365818,912492231,114534203,563021898,177253795,140245086,594263508,941623771,126135895,286731100,781480892,567739041,566720589,117395182,945124101,541682571,643911743,668843343,366890860,937923947,764799391,715398366,415658731,274535770,946303587,934448716,285120245,836631664,691942539,544503382,521785065,199660182,896401838,382076825,561134443,294293308,720951252,846419753,336572847,577660177,535667710,839480971,586445751,286059592,589335821,611791698,134415046,811227335,444536556,369366022,527420703,869717540,724959778,307220500,865647810,442769036,591074765,211335941,326666917,242088998,238514317,135677067,808206003,823241494,690397578,626819911,316117698,913880392,164985796,200467038,494050653,634735269,810681799,587792252,453522160,19360573,415169301,287081789,653913531,882090598,742406929,99017970,910894378,268916866,18778318,604310258,722528223,368805184,565393595,903653241,301432076,206475824,120341438,508880608,546926898,970500581,558366528,907319133,298403143,142126806,850425026,514046704,313108779,958655952,763473614,987628052,851304196,154311849,291810476,50426067,41822754,913731223,71143323,452995392,292015984,556857617,578728245,367551653,140312230,914520364,487812909,271136670,592862363,470594633,8245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7,513484853,739851413,145404146,639916558,443162712,192621606,718271642,784169489,999353652,303127030,757442607,669817696,894747308,339959985,239924635,66662344,943659833,802040647,966423786,968335827,997989165,571639295,7747315,289310046,124484099,58061109,309362863,364483401,640146672,502822097,31583303,437764773,423661805,363318365,914391076,566615340,252183893,812126951,737952594,31777350,715565134,883449809,547293662,831110278,261271335,252025578,188293711,145444423,488567446,278279792,441158861,784660425,618712785,28525884,147964276,705662399,952874420,666051292,396039728,632698449,428306478,779622420,230147024,959213706,857684578,811759163,405473354,284312598,477670440,646349854,775349652,203659590,362909817,210972580,197586431,942775837,764257375,84338679,699525992,174030115,765372656,335747839,33447353,631131313,736994845,152119614,690257482,148375576,711371529,226741770,723414942,141616799,165733137,572017270,977596884,247712051,989255564,150275148,308649676,452186381,924059456,417657831,733113418,417691334,210717942,822742495,65366868,517293459,922562467,460174581,543387290,56899453,262714462,12794407,904630422,497377554,595170054,951272921,702570304,98521747,437512987,968002188,527536286,685769198,215061447,138219098,263088653,371244694,153611926,711402293,377439929,463428620,606991901,526563340,392375420,632994653,910332701,971435024,175956718,838897688,874802028,778900461,631780580,917655585,652438449,925121145,615967419,488769944,766722346,692275903,808886273,932633518,604783714,706272289,480222977,324365980,112364392,206104070,102296870,624772224,945915219,492165326,254508981,621699642,681912549,8675380,663293885,219482421,928948946,362588427,224123924,111676498,26820609,378596794,385340440,230388762,343596010,327032164,332425553,367703668,239690296,364009216,95157303,845911773,565294558,365777010,917686807,272770198), BigInt("26736599840")) + } + + test("test5") { + assertEquals(Main.maximumSumOfHeights(396059846,14094387,970205447,584004579,831769737,429291577,132999133,467401984,316029722,836535554,379895295,166032881,605375975,606383228,218555311,113149763,766807310,514958095,846321493,829293639,22827360,631699657,607594195,745449939,821341321,294598405,16717797,283895876,675867530,101905195,735435954,347240667,268052779,161532868,838246111,371962926,513384565,819706203,504909583,65761987,888779286,686580272,462848187,655241362,273485650,923809053,432908499,433095433,964867848,456558124,267110165,956381390,387567218,20388409,764507465,32307833,277414888,924742744,632706816,567820277,359862711,243486329,242187737,299264105,361550589,83762090,389680251,899110554,940228289,616876994,288798244,919738307,868130098,25051787,741604364,870826118,999165825,178395230,13467810,663738781,84303232,28918706,244780425,673084821,361174005,41860002,538753225,430063270,419169934,527857728,75253386,960810850,82504901,145873374,541731448,957690589,388258260,968933658,158026536,950219741,823511731,303215391,61328880,494307641,107357219,842716130,564710741,676976717,737167068,564164755,103096091,176955249,803212384,383078265,396798704,494961214,848929913,836241477,24240785,939853552,996492520,41775110,605846444,446529441,964852700,877258470,906607532,36693058,128887026,561471952,15462038,523360120,714252743,642495427,371900830,584007565,701863369,155644033,82986393,753058131,458772855,768535000,873735908,518037813,119989364,813612351,813161585,894265658,983327938,992476445,91069682,852253916,476727687,281002088,802976341,671058439,659780138,843936683,606359605,192711691,673384358,514203675,279946410,666040030,774512519,124817517,576759184,549818489,790536915,303478807,185199434,707290891,496303828,272243285,479492157,147689015,569743906,280002391,752542267,198174431,167686483,893840562,57704162,220897723,709906652,273515773,194099506,332836138,17227173,776142011,219617918,634404496,263655691,603770609,539859355,346203463,971160431,616888665,703365602,450432493,885315151,46328099,143438915,629520578,192069094,888357393,428468586,237297509,873395696,885725583,556430346,249843899,216460913,734816663,755863967,226489527,432330156,896108209,188117945,710205048,247505465,350698062,463422958,36980246,257280901,965300799,889566129,806009803,265549692,358991139,96795078,842524496,306149993,78834652,352109057,584924224,717191025,631466210,771107440,497496616,802290714,894081793,852206209,31921145,617257059,913945656,728151192,281102195,706819623,573154577,998047371,710164702,652859194,460648301,563042583,593952294,586435968,635370408,727150217,915802152,37828900,230843329,102722165,939037507,273237531,403556811,971896450,813433453,69067573,388146139,420129201,615667763,574100415,731071412,372769635,185218540,609112507,789095174,290012864,230688596,526095087,591918187,797271587,477976012,830773692,117990650,719770644,905521843,728400060,582332370,537750872,536500308,975734824,937570429,87443070,832049338,17812000,982196514,140062879,469906328,688103071,452686875,749184764,176914791,977753029,292960143,709193857,706668271,936637805,514352483,646682826,755459524,661945255,584758020,659267283,308632299,658257757,288712538,735396646,630741531,964963626,271750132,557310265,928427072,895423209,664310292,183562324,508226827,515383276,49245704,696968818,72170943,465478281,119612139,556163724,47984430,267010727,894425115,12771226,540471483,382668461,452010915,566729363,973821888,539839096,504417566,296330687,231461979,831067332,269225053,848784433,587394002,966908040,267467675,547206799,312361601,665694373,813832742,238714698,744008371,42097877,15008960,178537971,461141604,385668139,615705166,5908772,30536295,687378789,370835460,897376430,805910255,17107520,110891947,773872687,902258494,177338674,695946593,832332802,890706921,979363631,371543176,266356311,694037413,419509639,723375161,181088109,476004953,895835528,522805560,453125486,961701011,373235406,928527916,399175689,27594047,980933859,87555733,549137447,141703243,567715923,547389268,562401975,129309844,998637712,469065899,638495011,59932229,788408843,503616721,429027004,913236974,833944942,994053120,885864491,883993880,484055347,887540938,980663275,103515659,824353767,140861708,975437236,716095362,469372714,722782993,785783168,171269965,644591115,953556143,295302583,173005258,690682357,872636107,425159941,88093829,729356876,814076131,979973942,355204968,716100011,823623293,510523613,644128366,290574,847402228,718976620,982377784,671951466,738572974,57584902,103846921,3164448,441884678,311020196,12398257,722065955,421067177,134336130,982103407,247420238,375423321,143458034,229135917,809919519,554034788,409010340,883574064,988745805,547102126,981329569,695157884,835195770,751364067,720558061,787779320,562757546,549787938,115754573,794608986,327191194,669439387,518600591,822433045,235995720,27646222,471716776,480881915,887013112,620432771,364752137,265327771,232176579,660408175,902801993,42801377,744398459,444634293,272522978,847475583,914457957,6919454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BigInt("25134737566")) + } + + test("test6") { + assertEquals(Main.maximumSumOfHeights(421062211,164004287,78806247,118620246,806418991,919848672,236713190,683438604,390389838,61900148,671752167,883332928,507351976,706638425,376381546,130128795,683140770,802119533,734723101,381968034,72770043,573222577,451020934,926165029,761716375,819677819,124302310,59722953,955599198,892184697,237666431,390149402,525374075,167315683,586422850,501239789,637540786,177778201,628610465,516210327,950344047,861633287,702987860,567604481,774482042,616050495,338974195,296862506,546886801,291413324,754635099,733317308,567725423,189908494,48090947,596476095,845553358,982836589,960245803,932397015,842441192,8188639,95171417,696116236,618097123,836392077,204111210,180784059,698732615,550787654,563111144,208596844,516744906,640097254,5230168,299110967,598422335,770163121,290217604,680463613,767796795,81956614,648271299,640239685,642882704,465226219,944146883,220148046,825190977,201872494,312898911,262677090,299170171,939022730,342614627,841931758,318963545,642834511,439849889,769958309,351676856,148616836,427508947,680142323,221650164,204257917,246556560,405358163,946887125,310741893,858843663,89604656,500338937,219654822,413428321,120232621,952251992,392990825,648441573,463145529,76270934,49152463,383047491,426324680,706564461,642328608,877871133,814849822,366077169,111910274,444390268,744792676,524214378,272111564,472809931,775677903,972659631,923395476,299027691,838382995,316271726,816697888,154315428,268843621,582989700,450570642,381608732,398120678,815777469,596385216,863765808,270349971,773052962,503242132,490499148,452875593,340522894,178656238,523519892,425887135,759538339,224103810,675897841,277384258,77387449,567101531,994851624,414627845,581323486,819952761,452288577,658727517,833653341,156239510,557729005,747748630,957309959,479384947,867278354,267359054,890851255,647242445,287296100,564343238,903015593,194553023,46929619,360062284,137604666,868893722,26224339,307038732,406168382,220284445,508146513,790633331,588076140,662775867,606971414,80252276,418965225,166831076,80610910,772572513,337930391,291432820,175566772,779767836,805203292,968964476,159322157,170999933,372738800,963688895,866624724,919605766,272351164,713046848,414120480,481582168,35585865,701215343,656452727,240714724,878585461,376496943,962570545,12979046,989492541,521847574,573165355,134913292,565311072,946451565,870482168,303568331,703500621,919651768,757545974,770548849,489940799,217665434,430002165,778417849,112549340,903550287,497984293,267409575,500294409,532718659,17697711,963327869,374731260,565796130,602653876,406617107,628826978,5433682,115313559,905214986,530472839,364223417,89103186,764772027,708347158,405458097,170076514,327452141,243122637,84799511,785487381,540154102,50745483,366516953,281228738,312799944,896986614,319479658,380773222,668503460,192604236,188962659,503674502,855725800,829899175,733694981,587286086,104825458,536874324,164482241,709020062,151022845,751625157,867425275,852514736,65637676,28869700,570388026,650731764,696599874,477299926,658671034,662911796,743857404,878104183,555754070,984124661,331026886,733856994,421557037,393818405,268058847,426885228,409078682,331976881,603159152,680024809,681581639,105237537,105803281,663123321,22021242,92647093,233026828,757719949,391572014,915240309,120867737,578835122,583476641,258104974,904969514,20257265,625889304,5103884,295537316,615430576,656931449,894112209,290638118,338407292,214368039,950746809,286641651,271324655,171762199,381039110,340557899,801361774,743070004,609072724,821120322,337182882,19258327,867479134,289288283,586623157,94534170,149367101,262922619,449243054,8603104,804763598,137097846,688460746,22916902,777899777,625462902,925035478,934392942,296853948,944225696,759159649,401357633,418458099,943899265,944714332,429529066,354281923,448709070,973535958,493596580,868226486,549369132,957309255,782368641,230249577,553968599,108083731,987539863,155671911,54294417,54500171,767216795,268255797,100769726,831681871,81971403,897964087,80628382,768254421,735460386,915454688,950252405,498600661,322827460,614609022,475942748,525195697,672316100,450186441,569615993,759655951,131290812,995947304,514305501,901854406,164161862,31852397,75175592,112932938,343740440,167140884,871888560,897707792,870009785,146521039,968740861,469425586,171283496,861215973,359197236,414079762,502547099,275720301,451675323,181964261,154825759,867279625,516068970,307681697,499803158,583974567,787867775,285499666,163196506,213168779,285543921,686144987,427833507,528919757,711860951,579953841,621761362,527338862,331287661,723336158,490569735,881952541,592737884,88746690,166520480,296881213,207722375,761233983,662204588,775492264,949376356,469518262,120331473,728714092,387249682,855804512,846544654,256309690,92360062,137262812,41334732,425390592,927126887,225412184,684067461,72569822,193998151,333915259,157862741,926966751,941616456,296657130,289472201,896956085,811713772,672024622,635973113,682843743,148664151,636466949,594789791,822292237,975737007,356829034,9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BigInt("43890177241")) + } + + test("test7") { + assertEquals(Main.maximumSumOfHeights(932802349,286358274,411952753,236902001,133823111,842752509,889041825,215938184,759951599,540262836,372188128,807023248,394649250,74355862,631698592,38276388,577981103,960373051,239950118,803321079,127031862,866927628,848879125,680197733,891368915,571923452,464529575,901893371,240123928,333308675,178544897,734908334,840755116,749278512,962694878,886662157,275530204,361755259,136627932,639412540,461008545,907088362,31487680,199323511,910839527,898646472,990700023,886118481,217703357,367413015,821091170,497404878,23984706,882033965,925267083,983675332,400974219,934410090,296899794,49375117,538355167,212993074,299437343,620387002,827718454,5484075,961465723,957158344,695991299,283699280,284805282,285686285,947672542,188751560,923837041,902081103,73365447,804607412,640650485,40762386,186268884,190984344,697504341,359301703,514370349,979267731,786709579,575333634,554808846,195857272,167213164,595305808,508114860,857645681,84703990,468904069,558169995,936544486,483732858,379722574,565778931,453438537,139901996,406843648,877731396,739713357,174741065,512646024,376273759,871328135,840244477,333084168,87330839,290778440,897885868,670474813,532425427,634128423,902463119,34423883,76088180,348966740,192161378,982977867,459716829,204052698,329976056,874735708,645468108,317905517,607170030,320464911,176279796,162793190,944605243,419206689,442829617,867762968,750961344,526677043,78903336,161131286,655262950,532176604,240904488,291349552,422459148,743915357,264030385,835326356,41921374,728383580,249021214,772312681,892072721,2430210,831348262,256260705,263601675,753931852,61081408,843709943,659444610,186619124,682520890,548627662,952881290,156671007,286404060,308724449,444541881,923310146,307510627,407002913,327183112,425021819,185082900,542775122,957211651,39288435,629738733,339765305,728488843,23538859,469691660,242388263,844478181,92769391,381472675,268859494,706385753,391801498,246148012,674015556,793042427,198526652,713172367,769599196,860733749,332685932,940478239,409790279,952778648,230644272,24246318,506705910,140656203,206397878,736840700,792683001,469497813,476112988,679455169,854164880,583219729,747068646,333143141,498380354,265403427,996097513,410090994,640816816,213892084,442520984,209620322,923727564,112746206,65447538,399934774,123393869,576649108,136060014,249865745,578377284,739065481,922168380,815185277,569040280,301760685,710180401,807104777,407878038,707411157,390071030,476642846,211658035,763701294,831475433,921824580,430183103,934716075,287020068,704316734,487762489,126255247,124612292,956253740,183169785,526659722,258463427,969162819,778893834,19424323,569399071,12006176,205642611,471085460,684110565,199558094,658179731,510933186,767510850,214108778,878444549,832073839,181098476,543183081,164104066,383105459,836436241,233022089,610887754,849918625,899709338,178724798,586102275,762224894,590992224,801020040,227542690,959259780,735083005,373313458,796271809,5793092,157991358,555151253,65751753,375690043,534687254,85953542,10468612,865175013,756406666,875485831,817325982,97692286,331342108,875052037,847870320,670054464,808123570,978937032,671493047,214915041,21702857,823399472,645840194,192673469,507996679,435023151,565251391,281714939,909272311,564188948,499101017,727284462,852958047,834480889,391235060,322496066,783077885,21616046,858773959,878664578,551854695,100116274,454261970,344870911,275678177,216183332,602752260,472343738,780323081,706359529,419289285,621844343,393756381,12527143,387586001,648655484,838771964,902051226,21337335,750673780,396926179,96002137,513402756,827586011,511549320,313896939,426830905,453017463,275566644,963310400,337794480,464220526,103905671,611472173,485373122,388281366,357345964,369501601,887515500,34592302,415959865,615874936,663171130,916564182,332061193,12892332,449645854,335630099,164611994,899054753,52442600,855645338,409833492,473870112,995897093,775046810,773086947,315646686,283756827,739798775,1576073,657592967,592793934,782340807,358267574,244052976,766887538,466803807,467360411,614692005,866142910,118392183,301488947,953247020,820481503,954442381,350057532,15596146,552145969,395146694,320498857,541184518,79313371,149877209,58125426,376673081,709009871,725476123,671809481,242117470,356796423,770004728,192607263,406920609,858551685,496508654,393606430,259906615,9956466,833789515,624130745,47545142,570486756,732496785,241479726,97219422,317536154,265865184,569432523,808474171,218138211,229830494,129259740,587078024,910557419,273529008,677569335,36392097,544431137,697888307,491627641,673125500,858016573,784396689,134499002,263976675,840649013,798465905,718085196,956542923,372941212,2043207,854002041,3943946,594903477,217632175,789429367,937650464,501303199,701305216,786195925,902085229,193055020,994947317,526251007,951075592,647400060,541084091,552716030,394373439,347647473,596206763,654128826,27342742,576007493,857370637,550113527,398224645,720416600,348351242,40869119,833892457,157866613,8602127,581905093,105058424,161646048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BigInt("41225334090")) + } + + test("test8") { + assertEquals(Main.maximumSumOfHeights(989055978,550627324,785297145,72201603,305898679,708780426,93902385,970968896,666497797,871092640,947257359,895560514,357625323,247180858,515350118,447699369,761028932,178919447,749095024,647424388,248455495,407957457,300589952,406666483,213886178,434184245,376154230,115780545,885156953,205829915,725576216,335047909,865319006,407636335,910164645,381649970,986959976,216973220,70557375,645220248,596562464,772751177,169757410,387473333,417324145,675209603,347646193,965787781,249434106,414342650,969064079,910919461,806967959,93592036,580552924,753431762,74953177,791910005,527875281,113008764,879803283,511390164,587960500,719386138,144810852,93012114,434459848,637207894,537983054,15154558,326179994,670907779,866434994,73325039,137980111,379277443,370095541,542499266,586822221,785954048,300327520,639449364,890439562,551213007,265504781,618345877,804072147,247801113,69629642,620379875,791976002,613049701,488567595,407666877,187135429,287103517,818536538,961422973,419369117,342625660,114945832,742842051,35993329,632490633,207736234,131591184,856035138,929324438,297848690,730145188,24906650,270472866,965725173,936269889,654880835,478457275,778011058,794320641,573064265,377320233,628184326,592936662,836988608,756665525,601552870,532773185,585651127,480799540,860962226,886918950,134161828,641910860,115331671,566952780,349652112,144494340,968959146,748473611,942362843,225960452,724203078,221156834,790981094,393393666,18436908,532560391,546683369,105580065,224275042,792055954,970191250,977277192,798064722,106847288,910228137,245821078,904772994,837412885,475814106,246647582,678369794,236391560,484433226,77864666,812603748,136079009,748628884,785170030,590313669,486468102,634569876,691740392,554527062,452569156,765069448,292376294,860702345,612274361,263538608,539221684,743874994,319243677,685131214,753115352,412185297,478803519,913133652,14830633,945347487,955472542,743766598,207944812,77148070,22765666,529006331,767724892,943503606,623023413,599296421,605004353,479971300,819255657,93253805,73375952,296698255,266280305,65083815,571976060,189006258,509917848,637467220,15617770,451511963,835596063,539635426,973880015,770698795,238011589,724496797,348688623,831787436,997146715,115981968,996401505,695242179,61824160,838698698,230530253,760865100,937910312,688271629,805498242,355299687,181751177,728624899,699612467,489165144,890558249,920132256,538607324,375109453,851447633,31236644,539775227,890234861,698587078,717445575,66656508,559689071,344527483,482227657,197523506,252044602,884346609,959947209,53172727,107621623,613837610,457203938,960494855,561089081,73678567,815250542,774685372,927163269,834818907,615787489,484773191,9376934,940166142,521653689,716139679,528023825,210022737,692467918,627918831,167653649,375002422,460748165,634127055,865615867,388368704,638893196,624853105,122211586,808984748,442826569,244594242,718946007,272811646,319047020,339473002,957513419,113188586,463314524,684922920,442614035,357343522,342235845,449828254,33764067,369896031,636625550,607883085,649448158,643196008,925242970,638186195,839828473,525632008,55309910,707628885,427108966,119669186,2160829,411333929,572193367,801401856,348855217,311808310,95299297,27661141,11913790,34381220,513406591,590702046,126895822,902513059,407975916,61681886,77599051,772760470,591067639,700095443,257133851,833786990,482953655,183338290,221643799,855024194,490724624,566826033,857169996,125851317,704018029,119887579,668800947,888481489,639380817,46987816,271376920,466411004,991048452,188079727,658397707,101890089,357694763,142920456,954143747,873861807,846498775,483901649,931965567,362957707,397734966,558993940,581832383,560938197,8327811,174231016,671031206,201076782,292556918,415503410,310095390,817583318,345571039,145242981,646683862,657600,488128079,826364246,722970918,19911920,176962388,728489029,362083047,495528598,706773208,422736926,510211082,665387711,442198136,266190937,855673700,533820581,924891241,646034202,988350417,36749727,837184670,360546220,45634717,105805471,824598814,181989800,911745729,482384272,857290858,83263493,979700987,411379930,475413625,128568473,788912635,92657552,970831531,768305163,263830777,115744907,243233708,443981571,968547653,517032451,330209201,207750459,125513565,776292329,814545957,931738148,797222471,143755146,605141619,6787841,301460024,138362860,909202538,891417694,61883212,426328220,402735646,130732284,184004336,123631522,267953702,948163910,515559241,209815931,557020070,340394438,329148383,771087659,716144056,774104034,687126080,91918569,275254462,880614057,564361854,71466367,21848185,676620614,389522869,810305983,823735222,870750807,826444760,700606096,318732806,734383046,462691454,295079048,2683784,69452589,615116831,906212368,585085945,836125135,998008677,756345848,50116788,507335765,817169070,308234427,570589131,129671577,531857105,391998313,495976730,206948401,291565818,370582657,404577102,622122757,581764371,983199001,147365766,899665961,914940179,356175810,915094796,314471781,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BigInt("36941689946")) + } + +}