TopCoder Statistics - Problem Statement

Problem Statement

Consider a rooted tree with weighted nodes. A node in this tree is called weight-balanced if all of its child subtrees have the same total weight. (In particular, a leaf node is always weight-balanced.) A tree is called weight-balanced if every node is weight-balanced.

You are given one particular rooted tree with node weights. The tree has N nodes, numbered from 0 to N-1 in such a way that the parent always has a smaller number than the child. For each i between 0 and N-2, inclusive, the parent of vertex i+1 is vertex p[i]. The weight of node i is w[i].

You would like to make the tree weight-balanced by modifying the weights of its vertices. The cost of modifying a node is equal to the absolute value of the difference between its old and new value. Note that the new weights can be any real numbers.

Return the minimum total cost needed to make the tree weight-balanced.

Definition

Class:: BalancingTrees
Method:: minCost
Parameters:: int[], int[]
Returns:: double
Method signature:: double minCost(int[] p, int[] w)
(be sure your method is public)

Notes

Your answer will be accepted if it has absolute or relative error at most 1e-9.

Constraints

N will be between 1 and 251, inclusive.
p will have exactly N-1 elements.
The i-th element of p[i] will be between 0 and i, inclusive.
w will have exactly N elements.
Each element of w will be between -10^9 and 10^9, inclusive.

Examples

{0,0,0}

{3,1,2,1}

Returns: 1.0

In this case, we can decrease the weight of node 2 from 2 to 1 so that all children of node 0 have weight 1.
{0,0,1,1}

{0,4,7,1,2}

Returns: 1.0

In this case, it is optimal to change nodes 4 and 5 to cost 1.5 each. After the change all nodes will be weight-balanced: each child subtree of node 0 will have total weight 7 and each child subtree of node 1 will have total weight 1.5.
{0,0,0,1,1,1,2,2,2,3,3,3}

{0,-1,2,-3,9,-8,7,-6,5,-4,3,-2,1}

Returns: 43.0

Don't forget that some weights can be negative.
{0,1,0}

{0,1000000000,1000000000,1000000000}

Returns: 1.0E9

One optimal solution is to change the value of node 3 to 2000000000.
{}

{-1000000000}

Returns: 0.0
{0,0,0,0}

{0,1000000000,1000000000,-1000000000,-1000000000}

Returns: 4.0E9
{0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,3,0,0,0,0,0,0,2,1,2,0,0,0, 3,2,0,0,2,1,1,1,0,0,3,6,4,6,3,3,1,0,0,0,1,0,0,3,1,5,0,9,2,7,4,5,1,2,1,4, 3,2,0,1,0,0,0,6,3,0,2,2,9,2,9,1,0,5,0,1,14,2,0,1,0,1,3,2,4,5,8,0,0,4,7,0, 9,2,7,8,9,1,11,1,5,4,7,3,1,8,2,4,7,1,7,23,2,7,3,2,21,0,11,0,24,2,10,2,17, 27,1,11,0,5,2}

{3,-8,-2,-7,5,3,-9,5,0,8,-2,-1,-8,2,-2,3,-9,7,8,9,-5,2,-5,0,-1,-8,-9,-3, 9,8,-7,4,10,8,4,6,-2,-1,-2,4,8,-7,-6,-8,-7,9,-6,4,-1,2,-6,4,4,9,-1,-4,-8, 2,-5,0,-3,8,7,5,4,1,-9,-1,-5,-1,-1,-8,0,-7,10,-5,10,-8,9,-1,-6,-1,1,-2,7, -1,9,2,9,-7,8,-1,-9,7,5,2,-4,7,10,0,9,-1,-7,-5,6,5,-4,-2,8,1,5,3,-4,-2,9, -7,9,4,9,-1,10,-2,3,-2,-2,2,10,-5,4,-9,-2,-5,8,-7,6,-2,-8,5,4,-4,-4,7,8, -6,0,3,10}

Returns: 674.3591706539072
{0,0,1,0,0,3,0,4,0,0,0,6,0,4,0,10,0,3}

{3,1,-4,-1,5,-9,-2,6,-5,3,5,-8,-9,-7,9,-3,2,-3,8}

Returns: 74.00000000000001
{0,1,2,3,4,5,6,7,8,8,9,11,12,13,14,15,14,15,18,14,20,21,22,23,22,24,24,26,28,29,26,22,27,31,29,33,27,31,30,31,36,39,38,42,38,44,41,42,46,44,49,51,50,52,45,55,50,56,51,43,53,58,58,59,63,59,56,53,60,53,68,61,72,72,60,71,73,71,78,77,79,71,82,80}

{406775781,907349880,-528076281,-430682217,-398392496,-901192875,453057697,951196940,941723409,-770799431,965514331,-981765825,361670254,361999771,-778569286,462030036,251831802,159561180,-271724825,512134653,87319188,-749762936,-990983721,-438228874,-644110909,506161300,276380208,438641414,-369344880,-806801035,423561947,-974534431,-317816622,-918500226,23834503,-406891706,-364106168,294548034,424077598,-570149892,-645484750,926555869,-527673740,-866436742,461670348,272498425,937017756,-720744583,721496672,892044116,255692593,-917351517,-149464773,-331915057,893484541,151161271,-738051569,522525867,-703187657,446869394,728456312,-483555008,195263368,181718002,499208532,688689516,-165261637,523466302,17137226,176425425,617504409,-288453785,57164506,913112301,579880937,-534779751,-158033748,513827332,-844138077,-587872916,490821693,834816142,755056093,673506142,-981592656}

Returns: 1.4846731943570992E10
{0,0,0,0,0,0,1,0,0,2,0,1,0,1,4,2}

{180748691,601673891,970562082,399156728,-768788142,-670045349,-799138733,555665907,-977324996,639531470,-742882731,-698278557,-829865419,594100365,118897688,757875996,10288530}

Returns: 7.228459672666666E9
{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,0,1,0,2,2,0,4,1,0,0,1,0,2,4,4,3,0,0,2,0,0,0,1,0,0,0,0,1,0,1,2,0,0,3,3,1,7,1,0,2,1,1,6,4,10,0,4,2,0,2,4,1,0}

{-973616246,-998815832,-984181641,-952211005,-999999991,-999999922,-760230696,-999999999,-999999975,-999833630,-808061267,-999999968,-999973112,-999999758,-873144238,-998779509,-989717949,-999999761,-997701407,-999999998,-999999998,-999940088,-885220786,-999999989,-999997299,-997603632,-990048895,-999999996,-999730512,-999999533,-999987523,-999999956,-999961944,-999999325,-999999991,-870674302,-946395802,-999999403,-999997713,-781499243,-985901249,-999998983,-999999970,-999981006,-999992471,-999810169,-999999999,-999999826,-968170200,-999963075,-999999821,-999999008,-985856264,-999997548,-999999999,-999998722,-999999971,-999887206,-999992172,-999999999,-732298459,-999937680,-998064283,-999999967,-999982110,-991600113,-995778743,-999999558,-999999823,-999662451,-999999991,-910906419,321646999,-999999956,-999999998,-978035189,-984309050,-979584526,-998676634,-938714763}

Returns: 3.554531605999999E10
{0,1,1,3,4,5,6,7,7,9,9,11,12,12,12,15,14,17,18,19,20,21,20,23,23,23,26,25,22,23,27}

{-205361128,550951342,-145726861,-127749930,391256787,299377001,228411079,-320918414,-776919898,208289361,703123055,-791856498,110950693,-975069720,982228867,-495218312,-772875037,-565877344,-690514638,-347829199,-368077330,602348745,-187451642,804445549,943327387,38206150,-6655758,402450942,-313525216,-646224722,147139316,368559413}

Returns: 7.001584485875E9
{0,1,2,1,4,5,2,3,4,4,3,11,6,10,11,10,8,12,14,13,19,21,19,19,22,7,7,25,28,29,12,29,23,23,34,24,30,34,22,37,28,35,39,42,40,23,39,41,29,24,26,44,51,18,54,53,30,54,54,29,52,41,45,41,41,33,62,36,57,68,56,52,59,59,6,74,46,56,76,48,71,73,18,76,36,72,65,70,64,60,58,82,70,87,41,38,71,97,89,86,98,48,82,79,88,91,105}

{-14790830,132280734,-786131377,-312427113,-942905847,395137452,314660275,-452737541,-247232991,767357969,-772956895,-955884217,-82497283,-190681840,-925080083,631202252,412162432,-588297141,-482985386,540476560,-723751952,-289182873,-573257166,-986898925,912153227,-507788750,-71973440,-880324790,-629250378,653481530,-866207382,-765603192,-632723857,-75938887,763974721,385385540,267826635,-770730553,-287584186,424099856,960558712,-162158359,587145423,239982958,-737923349,746611558,266085926,-907824021,308267120,632976313,590318501,538340091,240196195,-854776819,459618206,-588667897,419503162,-697248096,-199953355,-172318713,-605943690,342679358,-859033282,307518209,883461610,-523732796,-131075690,743809721,165345795,-291935479,-381581972,-820542724,417161910,-877387464,714658090,134018646,804593943,858010205,-899008320,567516410,-593534386,362593482,763751576,477000070,427385884,-529566810,309862309,592230928,573192551,-666688793,57616823,-329937157,-49417249,311285715,-231386193,482794575,401148080,550911312,978925138,753972767,791359190,169631424,-219860295,-984172271,453874063,716814580,-143990355,-354272728}

Returns: 2.7035608637281254E10
{0,0,0,0,1,0,0,1,0,0,3,2,0,0,4,6,0,3,3,9,9,0,1,8,6,7,1,1,0,6,0,13,2,3,15,4,3,8,2,12,8,0,2,11,11,31,1,14,0,13,0,12,30,0,8,0,6,0,0,1,5,4,25,16,1,6,5,3,0,7,9,8,24,14,49,18,29,0,8,14,10,37,25,10,37,9,55,12,35,9,2,4,6,11,20,48,35,26,2,7,40,11,8,17,9,31,50,32,22,2,32,1,15,10,61,39,1,21,20,23,30,18,10,12,2,3,73,14,0,27,71,16,23,25,1,44,54,33,7,43,29,22,9,40,51,45,25,4,0,58,23,22,9,18,14,24,14,15,46,87,76,20,5,20,26,67,66,51,3,23,13,18,14,11,45,7,5,41,22,7,34,43,10,49,61,13,29,17,49,58,2,16,4,50,24,5,17,22,2,99,18,9,116,8,42,2,22,50,107,33,1,1,139}

{566286213,-433024109,238819515,379018148,-450726698,365978833,-361630099,-565133061,-100208897,-897092667,-466573380,291582748,-727364669,51996705,-230700430,-503719297,-225120584,-743408585,35222698,290381086,692260026,-278089512,958866485,860480954,-562694595,-448078420,-748762991,869058870,251982166,-121958323,68526117,-839419048,-644160444,38709072,946931225,-568843950,951333531,-857299173,418415835,604964106,781215350,-114602864,729834709,678261917,778573976,286021748,-35198334,871847275,-241677251,-124782057,307130163,-924559537,-930374127,786143928,186630728,-227478416,661961620,-811396030,612501720,-98261161,113224180,554556116,126503378,441081815,826466976,-645332870,497558533,-106408463,-177404728,-40586028,531375928,308457991,339518727,754557378,183145601,988932269,-206024004,-220356731,-461691734,-381438974,-429550961,-440485832,-834144610,-820173553,-427713507,-777357827,-149432803,-255644746,-496641587,-513577638,775051708,981436885,444268779,638394240,-150601030,61670102,445354554,-746314022,75718764,525134735,579403461,62805624,-413216703,638563604,-819774466,-879768836,312448356,783568456,-161082615,-776922188,-895518547,498050105,-862140120,390452406,-410123369,935503549,-926805360,-862070726,-975309710,-287995265,649726501,267912817,-15115850,378244975,-772096681,-54521582,-142384061,84057236,860726600,940612433,-214129341,395455318,79150656,91599767,971278293,-320712654,-632269946,280635771,54417904,988180668,917978965,511566653,668859817,958534843,155108948,40992457,-795347625,876897598,4514741,-62207683,-681089200,775135726,897580712,-67537773,-204378908,-817607739,112083959,-33517851,-16276769,991898126,-799326801,463257572,231992041,-206714126,-18394709,-983990226,-508813428,976130006,-150875408,-75684056,568392917,-71982323,6574295,809828966,-604562888,-269469242,-366470026,-596965110,112699570,899098613,968951139,-483265655,771613901,-82240159,825547892,208261540,-976412452,-412552148,-853736258,181283417,-709966259,536494640,871978707,589349753,597658413,-365375111,-389760461,-422808203,-484902602,-493210118,378027669,-867902915,-558545839,-139230054,37277933,-883485204,-125760090,-77448311,-49935101,714374147,-776328359,-83935654,-148923868,-52572136}

Returns: 8.162689391464017E10
{0,1,2,2,4,5,6,6,8,8,10,7,10,12,12,15,14,13,18,17,17,13,19,23,23,22,26,26,28,28,24,30,22,26,33,33,34,34,37,36,40,31,35,28,42,45,45,46,27,48,50,47,47,48,42,50,53,35,58,53,60,59,55,59,62,39,65,58,62,46,61,64,63,63,62,75,74,75,75,79,76,53,57,68,70,76,79,74,84,84,89,86,89,89,76,78,86,90,94,84,89,99,57,94,97,104,93,97,98,106,84,92,109,112,110,111,98,108,87,92,115,118,98,104,84,123,126,112,128,89,113,121,123,73,132,118,136,113,123,131,132,130,124,142,117,139,119,142,109,125,142,151,149,144,140}

{-79309467,-925775211,-867375993,-694685538,481771578,510679672,-238528966,-534983347,910006132,335617933,776238984,199002038,-988264700,-652999653,54229612,702332157,-915782310,305551686,-624405740,619804838,296405534,-920960188,-697963775,162379449,336828616,626736087,-861187610,-782865813,824739073,76559588,899041278,602671839,342001825,-913139255,831901260,-907405662,-632960154,-813247302,781381909,862867787,878475152,853353105,409829205,-385394881,944931381,-288749758,150603136,-218005993,-771205749,-571037853,-353254737,-44196612,5553204,639109996,-612369427,936102944,36675399,523479508,273157625,673534739,432793060,581098610,915107663,766677509,-494689506,536911031,-372117349,153749212,528368116,350580406,-734090467,-829904920,319427114,-150589091,332576669,-761387913,-404433113,636325026,-884353895,118463936,173916009,-386709001,996663633,-141856320,-741534889,-287453384,536967038,382144035,-708161749,-757581982,-539529711,-13800592,-850572318,631486857,-766519340,924264858,814624938,294310520,584382348,-258896539,-902290800,-156145460,11100157,37552878,447281868,940249064,-908166663,-48751580,451965515,-307565978,244628575,-206218839,241411225,-281288675,473939213,-994027189,-330510778,-275824820,597395771,-123846558,-101136450,-232555200,-536409277,312029729,-195019037,266077150,751759501,-635064631,-521168121,-770510105,86816414,-824041171,31669478,210178848,408283590,-453354852,-108799130,28465807,-200771391,432673933,-172407038,-547031981,311404771,-682883599,58963194,-291568958,715365136,640579209,959853762,934522085,559401971,-751254498,132515926,-466367476,-561261566,-836474125}

Returns: 4.2841334340244865E10
{0,0,0,0,0,2,0,0,0,0,2,0,0,4,1,2,2,0,0,3,0,1,9,3,3,1,2,4,1,2,1,3,2,1,7,4,4,0,2,4,1,6,2,12,4,12,0,5,12,0,5,1,1,9,2,2,4,5,1,2,4,6,10,17,12,1,25,0,11,9,2,0,12,5,13,0,0,13,2,12,2,1,5,4,26,3,0,7,5,16,13,28,2,14,2,15,5,3,3,23,34,30,0,12,13,19,3,19,1,10,5,7,6,9,4,6,0,18,6,32,17,13,1,12,0,3,12,0,5,19,6,5,8,16,74,8,18,9,10,12,5,1,27,2,25,43,5,25,13,5,11,4,24,5,1,9,33,3,12,11,12,15,17,7,4,15,56,0,23,14,10,4,5,28,5,4,23,16,13,22,13,3,34,21,35,17,43,3,23,1,41,24,14,18,7,19,13,14,1,11,31,60,24,29,14,29,56,13,12,0,31,24,52,10,1,0,48,25,20,9,8,30,33,34,50,76,5,21,1,3,11,39,84,28,91,36,115}

{-813271670,-998071903,-525714595,878636004,-466606010,-811523262,614948973,481681406,761979328,762729140,221969164,-693750459,776088784,-274523825,-695370207,212967597,632739657,465605010,160823301,435399907,-533944256,-221146175,-267094844,-693791129,80228714,484865270,430453376,-713277143,123917579,-423317803,-88794202,539719536,-67915270,-911218482,-233474959,68433764,-642404853,684195821,-424680676,-209495613,213733981,-661775029,-629574541,-176224659,310124479,-564306790,204038555,-268427918,-511641471,100660826,-796148888,-491725388,-450021833,-358048494,279142275,-318285763,518275063,-375188674,466135481,67122228,-713295233,-731533726,794522419,-571937083,-619462644,621300481,-487872159,-417013644,294697798,279828984,522268311,-658261080,-330425090,294592463,968436829,64573391,-572093046,-654445225,-956477918,-393096802,-80319781,-728463282,305850563,946248467,108304417,-397327062,51916776,-116475408,880157212,-128168065,625745854,869027967,670918610,170392313,-62590001,-775824795,-224056794,665721307,918299511,-186743394,-51752396,612154820,-841674189,565167170,-813482913,764231934,-449686346,153281540,-23134942,40388740,409416606,612342535,675906037,-212729291,-759532061,-295563850,209031135,-940724864,93758725,441828761,-193396339,-45111175,279810828,332645730,112120362,-759161053,106292813,636073020,-329788721,-752971879,-744697137,196967950,-461319810,-670321629,-563177173,-724533306,567615789,-922938868,-965775922,195380255,749930915,-128356058,-399714872,-394126162,-28484027,424437629,267258201,-315873133,475521286,461780565,402100815,702374969,-595890210,871750193,-831933957,-959062246,892351230,306844653,-953576609,949539400,-637244245,-508468906,827160666,-857567491,905274332,-702290875,95094594,658538396,-73580124,-971906786,-182102983,326020723,-387507159,-713031799,285120722,641411495,-824278349,-680272585,352387859,-93387341,338457556,-232944695,712481620,62798938,59391067,406568816,745159538,-181548755,117085108,644186180,-609913956,-610547907,839949126,269444440,-557640982,452379172,8104917,-696560772,-312316266,757834846,751424661,645015089,374325394,-741147015,129348797,-339713555,661549423,580128489,-998080278,862523185,-110661791,-812983618,-212204504,-606112869,-218251417,-291047986,-246163940,147460150,26354910,530146089,-407817862,57456325,-935200468,981111263,214575336,-662535317,-615449821,247781864,929996201,-738978473,119543261,460688249,-529474756,-544234679,-652530783,-665146033,691659327,621879066}

Returns: 9.191807649207085E10
{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,2,1,1,0,3,1,1,0,0,2,2,0,0,0,0,0,0,2,1,4,0,8,0,2,0,4,4,1,0,3,0,2,0,0,4,3,0,1,2,6,1,9,7,7,2,1,0,5,7,9,3,3,2,5,4,3,2,1,2,1,3,2,0,0,0,6,14,1,2,4,1,3,5,7,0,0,8,11,0,6,5,0,7,0,5,4,6,3,1,2,2,7,5,6,1,1,1,1,2,3,4,1,5,2,4,2,7,20,13,2,4,15,4,2}

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Returns: 5.9663252731267525E10
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{184094141,-303819563,-124151551,-347408522,936552763,-126359164,-413040018,394630258,-827004145,48126649,-147415717,-947216981,-278469783,877577226,614795768,-782475902,673029916,556391113,-40347448,-354591881,-109390334,-63007279,-532195831,-997062859,-209873294,-57598414,-913842252,232759246,-365551937,-836580699,6504738,-531959041,711173111,-135871426,-304789074,-467815948,-547045771,-988024001,-561221916,234885387,811512482,-596211309,-446713514,911865911,-989103300,476653075,751432246,954424157,-817511055,972662255,69076005,-563702964,-676287966,269116204,223922139,-630861368,-475652572,-109162387,312151771,-395743375,468825639,-511156025,-655464991,-52926893,-150196431,399694703,281751990,662106007,-482202120,792410630,949353999,220093415,-56405796,-635059620,-503998971,875213960,-115392182,-430272646,-95687137,459181769,23322261,-571991716,-528123438,640324475,-214612852,-864946711,-849346295,819580483,546908169,-136365244,-833763883,821679101,4916879,440590307,434100558,588596409,-388040253,-98575135}

Returns: 2.032969269355521E10
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Returns: 1.1060661631483455E11
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Returns: 8.267584320275288E10
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Returns: 5.331517265323888E10
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Returns: 1.0751239194243634E11
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{-415999398,273348949,422203358,241933030,-261962437,661510219,484536715,53941931,382559676,-748594417,-160879126,445184351,390139178,-1779337,-739063515,248175586,312629271,-97438928,549912437,731950538,-304911605,-6095597,-194752769,-957100884,-723788180,855298560,-878576345,-540416906,-549180848,528234656,-550368963,457689990,746901131,-783298972,-723488842,942606684,9180425,-147997446,242847136,-569076215,-516904494,285008123,-141981221,-551490344,-942430349,-359933069,-938250347,961621974,551879403,194912268,542875244,-731148268,-878608817,-956550078,445564018,-544476755,608886935,753406451,-623373048,248502075,982652814,-751609858,473253800,-91809431,879459244,223996413,698717415,655818925,710011922,550166837,504291108,-942032493,-213591886,317089483,528826447,-223414896,495584810,449506595,103142745,-858404817,-330301326,144372684,984581690,-885489830,-6168987,-220614013,967784825,-614696847,543363717,394992645,-199045959,-418887339,-642174529,370041972,182557830,864186263,334961474,-508650255,-478349142,557794906,-331769466,260002813,-384324627,862680185,-447109599,-17680997,-567181712,-787077539,950281073,960951995,781698668,-631051865,826872645,-68289660,-190634163,956721000,474094592,-215762125,989289161,835991143,266918747,559780246,544225494,416803281,533618998,736840989,-905447745,842294406,86086706,-104391759,730857904,817138187,-600469287,-5387898,-319715804,-215177408,432347279,698149579,269318121,143274858,-358604639,460593273,981434602,237175834,874868151,-596222385,-933806627,976634216,514403539,416234307,377097836,-894280383,490029625,-641872379,-101274406,-619319814,-394005264,-226682792,-230655433,216500765,-7515571,90055060,-486569357,721783482,-562319126,-65598712,-330792904,-534237852,-143426378,885520636,-970472346,807590170,-782617039,-230398754,-689869612,-833131841,873411712,-580785809,-782510156,-774292238,437592602,717510498,609201254}

Returns: 3.948389857092567E10
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{-251121093,-318901053,-918540441,-655956376,897494277,532232370,995064474,152000631,955248688,311168176,201834801,-4454556,903076749,480586202,225242105,-45982982,26379960,12659062,461252902,99010474,-765196906,968676796,-746812420,367879317,320901462,-778260013,-756365317,-209214210,-575639045,978343936,771060420,829661202,-263988243,-649620506,-372419933,214390906,-694044827,-612719851,-894312728,-149007750,712699487,698747223,935564198,-871493520,305280826,81688050,-549075263,-734220917,-252078154,410706282,120170000,-783743747,-323140103,459685054,-559035451,-911623051,421553512,-707291715,120168981,-958903895,-52444402,395767424,-552606643,-821476232,445918558,816404697,-180736541,-905378323,324075278,-763353281,482820431,408349491,-254282040,125286164,740302468,-118392695,-677724733,898770551,-906115223,526773327,-923834965,-634336959,107783384,-512410546,376080201,-362159615,-873545280,416600690,-812858727,162298718,411452778,574305944,683828723,-439360858,745832663,939633423,-958814476,559009369,103817862,-751695492,49858820,-550519400,-405223220,-934895244,93128221,244541400,564381841,748032854,979144647,969593756,-527846936,476752196,139184150,384040297,963415475,-605277679,-217202414,829753663,415029199,353840572,743315224,876422450,-841923048,752378328,952244501,-33527555,567024106,521447720,748676488,357962742,-746306727,442189611,-440105390,-677938041,715723848,-334674601,881957813,772410744,963014975,556668854,944108523,286881361,881978504,-193352150,958433122,827947575,396257152,-881162560,-563718379,376081364,843890370,731960809,-304469202,-838703983,414739031,531766423,387853730,-788841553,978308079,573642800,-357263798,529296522,-819065285,-536213317,255058596,376630728,302637171,-763808149,235640822,848261568,37747641,-885319683,-775261,-777851064,-900218737,-136350039,481948193,-598579131,349820835,-691833857,-439559324,-819646056,9025094,43477703,-712748526,-965230364,-560303601,355991493,-337603012,-329205867,-34327268,942191442,-71606756,-338366891,251635428,-861056879,-293782473,-839785241,-127746753,-931924182,-317779010,896258957,-124087896,350089366,-988907614,-550468009,-615894178,-143716013,117550981,136750878,566393783,345566472,-840474664,-242196255,692157776,771637830}

Returns: 4.9731464991849754E10
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Returns: 1.1186920323006764E11
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Returns: 1.0828288613300003E11
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Returns: 3.8681549914671524E10
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Returns: 4.6609499207236115E10
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Returns: 9.283164684730984E10
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{-512332831,757925952,-767079099,-402161772,387907329,-348229252,-607707112,250918111,-386040311,707023675,476746827,-869916237,247182392,-356997854,-618167136,-170680158,708120248,560639216,176553673,829920280,-48008636,-710713674,-292250722,561403254,-817697076,-451769568,418442664,-332447871,-775252314,-244982127,906085779,107526046,-638266040,424005593,-563900286,114561921,648607796,-727612317,-121945702,-510131567,515826191,-612725514,-653713232,-773110156,-192954598,-893771145,203712406,-958804030,311290953,624991996,27032260,23833302,318078635,-230039016,-366503654,-658950971,-242440840,-140693956,-666164794,-329120389,-916536785,125445503,-797076673,-102828107,-785175492,-217076437,349193855,-525815628,-426835752,499564731,915775000,829993411,-464978508,765105992,860772398,194507546,-534581752,-549662822,-558924533,-682028226,906050238,711107097,763517673,688420275,-537301084,315381232,-230825012,-938383611,469561107,457865916,-418961335,384594536,603898697,175540183,-727746886,-476001363,282611113,-411233057,801561133,602988561,-106961551,366480811,-885446807,205564789,-306494849,50280270,223770061,224739932,564817996,171078073,457660721,-288937271,702134247,-546706147,7852079,-279420471,-192679701,-174601523,-593861884,-133604173,-624876726,441951097,627050915,45578128,-737818934,-528905402,-861171425,-356784190,886100773,-987194364,-584952437,-591961169,122536711,-812976939,171141307,149067628,251403553,-832894392,904478724,-579652725,-850936551,-267100958,193630725,440898273,-668472051,-220978960,651904858,639592480,424419486,137798909,-567817996,419742672,-831359075,62625516,744541547,5770633,166402864,766324380,-24884257,-435601452,-769536508,520445560,-315934651,-814615540,420138075,995240065,12523819,761903291,-369161968,756389733,-157191927,-671749548,-50396938,-866602639,433149635}

Returns: 3.954829450155035E10
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{-213442323,-235762505,-972294489,-920343451,-699472681,381006722,-135289147,797172570,-347177035,-825517815,421354959,843640367,-173465211,576436222,436795951,421442320,445450378,-729960287,-111071818,445638671,-130746730,269373283,266797532,905530960,134625093,331490419,-906020155,43182624,-911984628,162519555,565288302,-446451915,104670759,6244550,489253409,669064222,899844984,-106942631,-878601847,-787738618,111937271,79128262,928407588,-516846013,573636351,-979906339,-159128305,-806125724,-514025395,-399486495,132357673,571215835,71525543,-720195906,705145998,218456131,706805102,317304665,268043095,361031297,20266854,303589956,659261264,696338682,-8892867,852093578,-602565501,-773853911,-304573255,-505440013,436417488,170790609,20122133,575796635,54592622,-652449045,401207463,-742349666,826988562,241283110,442098122,619085381,708591281,-596390254,128712992,-721305825,399807350,-212341472,282081516,-32076369,370117157,-841452903,-124529764,47754549,-816466649,-184484900,891870240,-911476282,-900441130,-480191912,509017052,322031977,-684083784,-256880306,572940367,27034101,-325602079,134602590,-442629175,-276339884,168767138,-549838215,505159061,429270699,173713597,-904053553,-190811249,167701309,-43549350,-91339791,114096022,-574194918,-262385115,-171487547,106433433,315654989,335709713,-283663615,509746159,-172278816,259411583,724603389,-787644133,-250208821,-995364136,-647234765,-870524341,-421646121,-731662842,-399440427,137607929,63622077,-191402119,-521382649,-781995455,-93678980,-239364175,-456086676,807297777,563823073,360940629,98304283,277237606,125162448,-763173578,-778396752,-548200283,778917154,-313733071,-93660270,118756531,-475102572,702955641,-780439396,-395868464,470034314,894115046,-362271074,-348214353,-699185906,893652688,483979978,86711993,339058436,390844251,-257300880,39444020,-35197779,-525201336,-565412815,-129689758,-870525329,-362459387,-793916915,356095745,184542965,-516377677,820216841,188000582,-684770714,-38243959,831668495,378611728,-504132769,-235964690,-112988164,786934220,72914794,-569107242,811825780,-355644994,-166404313,655018930,-70442565,-299258803,732592904,-704954215,902726704,408702252,-673827502,689875612,-204737495,425374483,402567418,7115905,25466296,634913570,299405786,564156538,412300184,881209180,-36579996,-671994208,613400464,-350835830,-65373238,-869920983,-88579153,-955791159,-873378888,-475288663,-473987823,-406451371,526580523,675245310,-588050712,628971847,-246971408,-830878853,-150381915,309872410,786360608,-756523997,42279377,706470257,-873413504,-454663183,405229099,-212958935,134700132}

Returns: 5.597282418038184E10
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Returns: 3.4568530463674675E10
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Returns: 4.553666823800805E10
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Returns: 1.015716846729824E11
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Returns: 9.902819837390584E10
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Returns: 9.247434734441927E10
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Returns: 5.9343433896362854E10
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Returns: 9.867083061031868E10
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Returns: 8.814868504591779E10
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Returns: 9.401789708766489E10
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Returns: 5.952157088794407E10
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Returns: 3.2976792658906605E10
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Returns: 5.591070245947486E10
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Returns: 6.337163043767913E10
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Returns: 5.8544436000009605E10
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Returns: 1.0961525193141838E11
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Returns: 4.650035598189321E10
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Returns: 5.522827859386079E10
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Returns: 5.7702370265292946E10
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Returns: 7.966345535778477E10
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Returns: 3.7371089332621864E10
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Returns: 1.0015258527765152E11
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Returns: 9.859538145556326E10
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Returns: 1.2443924622762773E11
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Returns: 5.3914076269590645E10
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Returns: 1.5702697048620135E11
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Returns: 6.488316803900754E10
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Returns: 1.6844578168203183E11
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Returns: 1.0755876444776907E11
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Returns: 1.6274183674946677E11
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Returns: 1.151832530423392E11
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Returns: 5.056679110644411E10
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Returns: 8.652706854081345E10
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Returns: 5.411440506592758E10
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Returns: 1.3833573240462408E11
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Returns: 5.813250687468757E10
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Returns: 8.783265172485571E10
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Returns: 1.121781855352175E11
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Returns: 7.089953882522897E10
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Returns: 8.492796723087437E10
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Returns: 2.000470799959999E11
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Returns: 1.0889531636254938E11
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Returns: 1.0882502088824155E11
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Returns: 5.0597542662437256E10
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Returns: 1.598883770256199E11
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Returns: 1.0683237608680946E11
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Returns: 4.079217405711024E10
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Returns: 1.08729571861182E11
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Returns: 9.81291523866352E10
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Returns: 1.642113252948736E11
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Returns: 5.915456434307806E10
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Returns: 5.746733462844876E10
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Returns: 7.725422664187502E10
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Returns: 3.235585962816086E10
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Returns: 1.1195156300115576E11
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Returns: 3.974165869502776E10
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Returns: 1.0467921690691597E11
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Returns: 9.487620127665686E10
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Returns: 9.47594405367697E10
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Returns: 5.1057826758559296E10
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Returns: 9.498963191343246E10
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Returns: 1.5644600826746753E11
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Returns: 1.0600227072907077E11
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Returns: 7.800210149401581E10
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Returns: 1.0861371038769246E11
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Returns: 9.721686299780472E10
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Returns: 1.0355466047973123E11
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Returns: 5.562685074484805E10
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Returns: 5.605548099768778E10
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Returns: 8.00885971541883E10
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Returns: 5.615090998611356E10
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Returns: 2.0870101262999994E11
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Returns: 1.009362818313686E11
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Returns: 1.0785653151359486E11
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Returns: 8.301596681361072E10
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Returns: 1.1208117090533029E11
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Returns: 1.0115582981777415E11
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Returns: 5.801178395912436E10
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Returns: 5.024645744227222E10
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Returns: 1.1406044262376653E11
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Returns: 5.899901780710032E10
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Returns: 1.0085437752754564E11
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Returns: 1.6633207107774127E11
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Returns: 5.181206063813219E10
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Returns: 3.882357009586828E10
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Returns: 1.0317711544182967E11
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Returns: 9.91456909917511E10
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Returns: 4.706111467196967E10
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Returns: 4.4762919923653175E10
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Returns: 5.141192063096295E10
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Returns: 8.686160732532745E10
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Returns: 8.820624989263297E10
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Returns: 5.306693194635362E10
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Returns: 2.1399477576287488E11
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Returns: 1.0046054558706305E11
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Returns: 5.572686531855827E10
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Returns: 1.9210403491144373E11
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Returns: 5.0273351520966484E10
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Returns: 6.643316551968629E10
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Returns: 5.446436966771125E10
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Returns: 5.2242852955225494E10
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Returns: 5.775717575890791E10
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Returns: 1.1688757725329463E11
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Returns: 5.533110770536117E10
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Returns: 4.4352227160301285E10
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Returns: 1.1167931822897183E11
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Returns: 8.12089444980522E10
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Returns: 4.587019552107629E10
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Returns: 1.0679292666014058E11
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Returns: 1.1217172076364711E11
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Returns: 2.0415496211399976E11
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Returns: 8.68668458198334E10
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Returns: 5.37865714426573E10
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Returns: 1.1788361760593275E11
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Returns: 5.538508821546596E10
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Returns: 1.1330410802747752E11
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Returns: 7.951245662886584E10
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Returns: 1.0171068915753604E11
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Returns: 5.6703665671935905E10
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Returns: 1.0727883091069284E11
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Returns: 5.954678938866753E10
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Returns: 7.285911861777391E10
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Returns: 9.220717932359315E10
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Returns: 1.0301204558482735E11
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Returns: 1.0181608949816594E11
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Returns: 1.1110452458628018E11
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Returns: 9.637869815992052E10
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Returns: 9.854761639796597E10
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Returns: 5.447197616124681E10
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Returns: 6.035050424062878E10
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Returns: 5.684050645234335E10
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Returns: 5.4116770255859634E10
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Returns: 5.4854997769895035E10
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Returns: 5.3824165886793884E10
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Returns: 5.810193130518313E10
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Returns: 9.43442564516434E10
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Returns: 1.0628515186656522E11
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Returns: 9.733302772976382E10
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Returns: 1.0354602308360402E11
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Returns: 1.1521475877073041E11
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Returns: 6.407269652001874E10
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Returns: 9.98256584398142E10
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Returns: 5.1565319389346596E10
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Returns: 6.926758272932669E10
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Returns: 4.6095453264001495E10
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Returns: 1.12632899059794E11
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Returns: 2.1215490497399994E11
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Returns: 5.2012016867785805E10
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Returns: 5.408833600211269E10
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Returns: 1.094329921802555E11
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Returns: 1.0397537332211267E11
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Returns: 1.0256585591895502E11
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Returns: 1.1222074761274272E11
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Returns: 5.861927136228146E10
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Returns: 6.669173310775348E10
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Returns: 1.0375682937913394E11
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Returns: 1.1072503464873064E11
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Returns: 9.073555910975267E10
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Returns: 1.1178566460522061E11
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Returns: 1.1348649822804434E11
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Returns: 5.7628760873672646E10
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Returns: 5.330797378285839E10
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Returns: 5.59388519317031E10
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Returns: 6.6386149120741714E10
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Returns: 1.1433668777945453E11
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Returns: 6.1144329386784424E10
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Returns: 4.352570056593196E10
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Returns: 6.2792262160170425E10
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Returns: 1.0144067577766977E11
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Returns: 1.0643117363677907E11
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Returns: 6.051165030838716E10
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Returns: 1.1311004644113808E11
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Returns: 1.1314921768565913E11
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Returns: 1.1413975374318448E11
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Returns: 1.0857565161155994E11
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Returns: 2.0713848145399994E11
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Returns: 1.0533540362863602E11
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Returns: 1.8597769887379956E11
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Returns: 1.0115836061256824E11
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Returns: 1.1179969707897185E11
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Returns: 8.097860329920766E10
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Returns: 1.0335454961243945E11
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Returns: 1.0168960142267416E11
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Returns: 6.220208669493114E10
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Returns: 1.1354770774528445E11
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Returns: 2.065571293221387E11
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Returns: 7.861905513231831E10
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Returns: 5.0319564170236115E10
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Returns: 1.028781113416562E11
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Returns: 9.811259748004367E10
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Returns: 5.421848856127818E10
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Returns: 9.600875193594742E10
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Returns: 1.0970214999069127E11
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Returns: 1.1034571028522028E11
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Returns: 1.066213402463442E11
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Returns: 1.0353311189389168E11
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Returns: 1.0706975870265535E11
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Returns: 4.913430045667014E10
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Returns: 4.558063568051725E10
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Returns: 5.322861910340849E10
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Returns: 2.12153661903E11
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Returns: 1.0510097140819482E11
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Returns: 4.921019145729393E10
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Returns: 6.770822238056459E10
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Returns: 5.327261532754122E10
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Returns: 6.038025542200077E10
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Returns: 1.1602489585250894E11
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Returns: 1.2077103071937494E11
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Returns: 1.1019970862208968E11
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Returns: 1.1839197500514648E11
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Returns: 5.5748579623820244E10
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Returns: 6.5366441640212975E10
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Returns: 1.0935924438780954E11
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Returns: 6.658467907561097E10
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Returns: 1.857004280709357E11
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Returns: 8.18463057984895E10
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Returns: 4.241727395045912E10
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Returns: 1.081143529244153E11
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Returns: 1.8057710583663077E11
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Returns: 5.309784563545304E10
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Returns: 1.0249424329631166E11
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Returns: 1.1185701798677852E11
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Returns: 5.662541105329562E10
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Returns: 5.15092192942478E10
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Returns: 1.0740866503593152E11
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Returns: 1.0526738211635034E11
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Returns: 1.799958206740553E11
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Returns: 5.06287866617082E10
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Returns: 1.0699764400436781E11
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Returns: 1.118899971087157E11
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Returns: 1.0973670094185864E11
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Returns: 1.0604325732179538E11
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Returns: 5.4663351334936584E10
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Returns: 4.882007349008443E10
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Returns: 1.0834518114651282E11
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Returns: 5.439335004768541E10
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Returns: 1.132373931696054E11
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Returns: 4.577049849633862E10
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Returns: 9.928686893578299E10
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Returns: 1.1016433986996632E11
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Returns: 6.1819463989641594E10
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Returns: 5.738403072262597E10
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Returns: 1.1029048699241626E11
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Returns: 4.694093961292546E10
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Returns: 5.2968667152805305E10
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Returns: 4.861204203568778E10
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Returns: 1.0998155138364296E11
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Returns: 1.1721887336766112E11
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Returns: 1.0611716270385509E11
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Returns: 1.7948678318963828E11
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Returns: 4.810829698247086E10
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Returns: 1.0318314110913281E11
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Returns: 1.1394490892756255E11
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Returns: 6.172046487901465E10
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Returns: 5.127068939948356E10
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Returns: 6.067089915169951E10
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Returns: 6.225453622177631E10
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Returns: 4.717785030824811E10
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Returns: 1.1007921729371419E11
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Returns: 1.0123942413721947E11
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Returns: 1.1792963693007947E11
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Returns: 5.739966834419693E10
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Returns: 5.099479619159759E10
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Returns: 1.1593692375796365E11
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Returns: 1.1022615107006226E11
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Returns: 1.139083116095365E11
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Returns: 5.4066684449050575E10
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Returns: 1.0252670619875534E11
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Returns: 1.1710824596791537E11
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Returns: 1.2024205099622154E11
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Returns: 5.389212754861662E10
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Returns: 1.6595015374503418E11
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Returns: 1.7711820846784613E11
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Returns: 1.7628595009823315E11
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Returns: 1.0405282317568793E11
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Returns: 1.6261979135039218E11
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Returns: 1.117265722261748E11
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Returns: 2.1443382042099982E11
{0,1,2,3,3,5,6,5,7,9,9,10,12,13,14,15,16,16,18,17,15,19,21,19,20,18,18,23,28,27,26,31,26,30,25,25,33,37,34,39,38,40,35,41,44,44,31,47,44,39,45,50,38,49,47,54,47,48,57,51,44,57,42,62,57,47,51,65,63,68,69,63,53,73,55,75,75,56,53,79,66,66,65,78,77,83,74,87,86,73,77,78,84,70,42,92,90,97,78,78,85,101,91,102,100,90,104,98,106,108,105,105,108,102,67,102,98,105,116,113,80,113,90,120,101,105,108,124,121,113,120,118,125,119,128,126,101,126,98,134,91,124,101,140,144,113,100,147,119,124,81,141,137,149,138,155,144,142,147,142,143,148,133,138,137,164,141,164,129,163,137,160,122,161,173,148,161,160,148,174,146,179,168,146,141,148,139,167,178,149,169,174,173,169,172,158,183,164,160,198,194,158,201,203,204,174,179,203,203,196,209,189,160,185,197,193,212,201,140,206,186,181,201,170,219,178,224,221,212,199}

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Returns: 514.585891912013
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Returns: 656.4437397119342
{0,1,2,3,4,5,6,7,8,9,10,11,12,12,14,15,15,15,18,19,15,21,22,22,24,24,26,27,28,27,30,29,32,29,33,35,34,36,37,38,40,40,42,42,44,45,43,46,46,49,50,50,45,52,54,49,52,57,55,57,57,56,59,59,62,62,66,66,63,69,68,70,70,66,68,75,76,72,71,79,80,77,80,79,84,76,78,85,84,84,89,87,84,92,93,94,85,97,95,97,98,95,93,95,104,102,104,105,105,109,107,108,111,109,109,113,107,109,116,117,109,119,121,117,121,118,121,124,124,129,110,131,130,132,125,116,136,130,138}

{4,6,10,-5,0,-3,-9,-9,10,10,-5,3,9,6,0,-8,-1,2,9,-2,-4,1,-6,-2,-6,9,0,4,0,-7,-3,6,7,-8,2,3,-5,4,4,1,-8,-1,-2,-3,9,3,6,-9,4,-7,-3,9,5,-2,-5,-2,3,8,2,-7,-1,1,-1,-9,-9,5,-2,-3,2,9,-2,-3,-5,4,9,3,10,-9,6,10,3,6,-7,-2,-4,0,4,5,4,10,-5,-2,9,-9,6,8,3,-7,-2,2,-5,-2,-2,-6,0,-6,4,5,-4,-7,0,-1,10,3,-4,-5,-6,-4,0,7,7,4,5,6,-7,9,7,0,-4,6,-3,2,6,-9,-9,5,4,4,9,-2}

Returns: 302.82389354705816
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{6,3,6,6,-9,-9,2,1,-2,4,8,-4,2,-6,-8,10,0,5,-3,-6,1,-1,1,10,-1,-5,-2,-1,5,2,-9,2,-8,-4,-9,-2,0,6,-8,-6,-4,10,1,1,-1,-7,4,-2,5,0,5,-5,-6,5,-4,-5,-7,-5,-8,-3,-4,1,0,5,1,-3,-4,-7,3,-2,-1,-5,6,9,4,5,7,9,2,-6,3,3,-3,-8,-3,-3,6,-4,2,6,2,6,5,-5,-7,-6,8,6,9,-5,5,-2,9,-7,1,-4,3,-3,3,-2,6,-9,3,9,9,1,-4,-1,0,-9,5,-9,-4,0,-2,-7,5,-9,9,-9,8,7,-4,-7,-7,4,-4,-5,8,-5,-6,4,-2,1,3,10,9,2,4,10,9,6,6,-4,-4,-9,-1,-6,0,-6,1,4,4,5,-7,-9,-3,-8,3,-3,-6,-6}

Returns: 751.6544289044288
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Returns: 1174.934502923976
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Returns: 588.7500000000001
{0,1,2,3,4,5,6,7,7,9,10,9,12,12,14,14,16,16,17,19,19,21,21,23,23,25,24,27,25,29,29,31,32,33,34,35,34,37,38,38,40,40,42,41,43,44,39,43,48,46,46,51,48,50,52,54,56,54,58,59,57,60,41,63,57,59,63,65,67,62,69,68,72,67,70,75,73,77,76,74,75,72,71,82,76,83,79,86,88,88,90,90,83}

{8,9,8,2,-7,9,-9,-4,-5,0,-6,0,-6,0,8,9,5,7,0,-2,-3,-4,-4,3,-5,10,-8,-2,9,2,1,0,1,8,2,6,-4,-1,10,-1,7,7,9,5,0,7,4,8,-9,8,7,-6,-1,-8,-2,2,10,9,1,-4,6,6,9,5,9,2,-8,-8,3,6,8,3,-1,7,-5,2,-2,5,0,1,-7,3,-9,-8,-1,2,2,10,8,5,3,6,6,-5}

Returns: 246.80906677246094
{0,1,2,3,4,5,6,6,8,9,9,9,10,13,13,15,16,15,15,19,16,19,22,23,23,24,23,27,28,29,30,31,32,30,34,34,33,35,33,29,40,41,39,43,38,44,46,34,33,34,47,50,49,51,44,44,51,55,58,54,56,61,57,55,57,58,66,66,65,68,68,70,65,71,63,75,76,70,75,76,76,73,82,68,76,73,81,85,70,83,88,71,81,73,83,93,70,97,84,85,99,98,102,98,95,100,106,102,101,93,103,104,99,108,107,115,114,101,114,117,116,77,122,111,124,106,117,114,123,123,130,118,100,120,132,123,135,121,131,139,115,131,120,141,112,142,140,128,127,147,113,148,150,147,104,134,155,154,153}

{4,0,3,-9,-2,1,2,-7,8,-9,0,-6,3,-3,0,4,10,10,-4,-5,3,-1,10,-8,-5,10,-8,-6,10,2,10,-9,0,-5,4,9,-8,-5,7,4,-1,2,-8,-2,6,6,4,3,-4,2,-7,3,-8,4,-7,-7,-7,0,3,-5,-9,4,-5,3,5,10,-6,-7,0,-5,-2,7,-8,-5,9,-5,0,2,-2,-5,-3,2,10,9,-4,-5,5,2,4,9,5,2,7,2,-9,5,5,7,5,4,10,-4,5,6,7,-2,7,1,2,1,-4,4,8,6,4,10,-1,1,5,-5,4,-3,5,3,-9,-3,2,10,9,9,-7,8,3,7,2,9,6,10,-9,-9,-9,0,2,9,-1,-9,-6,-9,-8,-8,7,-4,7,2,7,-2,7,8,7,-1}

Returns: 406.4010212378902
{0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,16,18,19,18,20,22,23,20,25,24,26,25,29,27,31,32,29,31,31,35,37,35,38,35,41,40,42,43,37,42,45,47,46,50,51,50,53,52,53,56,57,56,59,55,49,61,62,61,64,63,67,62,66,64,66,69,72,71,75,72,74,73,79,75,70,81,72,81,79,78,86,80,89,78,88,87,89,90,95,90,96,92,98,79,96,99,101,103,93,104,98,95,108,105,107,111,113,112,112}

{-1,-9,0,8,2,9,-9,-5,2,6,-9,-7,-6,-8,8,4,-2,-5,2,7,-1,-6,6,-9,8,-3,4,-2,0,-7,-2,7,6,2,0,-1,9,-7,0,-2,7,-6,-6,1,-3,-7,-4,-7,-1,-6,8,3,7,-8,6,-9,3,-5,0,-1,6,2,-2,-5,-6,2,3,5,0,-2,-2,-2,5,1,4,2,-5,-1,7,1,6,6,1,-2,4,2,5,-5,8,-2,-3,10,-4,9,-7,-4,1,-1,-1,4,-8,10,7,-3,5,-4,-9,-6,4,-5,-2,10,-2,3,-1,6,-6}

Returns: 169.98162615740745
{0,1,2,3,4,5,6,7,8,9,9,11,11,13,14,15,16,17,18,19,20,20,22,23,24,25,24,27,27,26,29,31,32,30,34,35,36,36,38,36,40,41,41,42,43,41,46,45,47,49,48,50,52,53,53,55,56,57,58,59,55,55,62,63,63,65,66,64,68,64,68,69,70,69,74,65,76,76,77,79,69,80,79,75,84,85,86,84,84,85,89,89,92,84,93,95,95,95,93,98,94,99,102,102,104,105,105,98,101,103,102,102,112,104,113,114,116,115,118,118,120,115,122,120,121,124,122,121,127,123,130,129,125,129,127,132,136,128,130,139,140,138,137,135,140,143,144,137,140,147,135,148,149,150,150,154,156,157,154,157,158,155,162,156,160,160,160,167,168,161,169,156,169,155,171,171,157,170,174,169,166,180,179,183,183,183,184,178,181,189,183,190,181,193,187,192,178,197,192,189,198,201,196,203}

{-8,-9,7,-3,4,-8,3,3,-1,0,-9,10,2,-1,-9,4,7,-6,-5,-6,4,8,9,5,-7,9,9,-5,-2,-8,-2,3,-9,8,-5,1,-3,4,10,5,1,-8,3,-2,-6,-5,-4,-8,-2,7,-5,1,7,-2,-8,4,9,-8,6,-6,3,4,9,0,-9,8,10,6,-7,2,5,3,-2,-6,-6,8,-1,9,5,-5,-3,3,2,-8,1,2,10,-5,-2,-1,-7,2,0,4,-7,9,1,4,5,9,-8,9,10,4,3,6,6,3,8,-1,9,3,9,-4,-2,4,-8,5,8,10,10,6,6,9,10,-9,-4,-3,9,-1,-9,-9,7,-7,0,-9,5,0,0,-3,8,4,-2,8,-8,6,-7,8,10,-6,1,-9,9,-9,-4,3,10,0,0,-6,-5,10,-9,-6,2,-7,-3,-7,6,6,-3,6,-5,1,-9,8,-1,-2,1,7,-1,4,5,8,0,0,-1,-4,-4,5,6,-4,2,-2,-1,-2,-7,-8,-8,-5,-6,-5,8,3,-6}

Returns: 451.1917888689763
{0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,4,0,1,1,1,3,1,0,0,0,1,6,2,1,0,2,3,0,4,2,1,0,1,2,3}

{-9,0,5,3,9,-7,0,5,4,6,-3,5,0,4,7,9,3,4,-8,4,10,-9,5,2,3,9,-6,10,2,8,9,2,4,-1,0,-4,10,10,-7,9,2,-1,-7,0,-9,2,-8,-7,1,9,1}

Returns: 217.8571428571429
{0,1,2,3,4,5,6,7,8,9,10,11,12,13,13,15,16,17,18,19,20,20,22,23,23,25,25,27,28,29,30,31,32,32,33,35,32,37,38,38,39,40,42,41,43,43,45,44,46,48,47,51,50,48,54,53,53,55,58,58,58,60,62,63,61,65,65,67,67,60,66,68,70,70,74,72,76,76,78,78,80,79,81,79,84,82,85,77,87,86,90,90,88,92,82,84,89,95,84,95,100,101,99,101,104,105,105,106,105,108,110,111,103,104,114,114,105,114,118,115,118,115,121,118,116,117,118,124,127,123,129,121,101,123,123,133,135,134,138,135,139,132,139,135,142,137,146,135,138,137,149,145,150,140,142,149,154,156,142,159,149,160,160,163,150,153,162,162,168,160,152,162,168,149,172,166,165,162,178,169,180,180,178,160,159,180,175,186,183,173,187,181,188,190,189,184,184,190,196,187,198,183,200,200,201,204,185,207,205,208,201,190,211,185,212,209,202,209,205,197,219,220,217,223,207,218,220,214,228,223,226,230,232,217,233,213,226,232,230,230,228,241}

{-6,-5,-3,10,-2,-2,2,-4,-7,8,10,-9,3,2,9,-7,1,10,-8,-3,-7,-7,0,-6,-2,6,5,9,1,-1,-5,7,8,10,2,4,-9,-4,-7,-2,8,9,6,-2,-3,2,-2,-9,-4,-8,-3,2,9,0,-2,-7,8,5,10,-4,5,-2,-1,-7,-8,-4,-3,-4,-3,0,2,-1,3,-1,3,8,-3,8,0,5,-8,-5,-5,-8,2,9,6,6,5,-2,5,6,9,-1,6,-6,2,-9,4,3,-3,2,-2,3,5,-6,7,6,-5,2,7,-1,4,10,-4,7,-8,-8,-4,-8,1,9,10,6,-1,-8,5,-7,4,8,6,2,9,-4,0,9,3,8,2,2,3,-5,-1,-7,1,-1,6,10,9,-8,0,10,-3,-9,8,4,2,4,-3,5,0,4,10,4,-6,4,-5,8,1,7,-4,9,9,-8,-7,7,6,-9,4,-4,5,-1,-8,10,4,-5,5,-2,-9,1,-6,-8,1,-3,4,-7,7,-2,-5,7,0,6,9,7,-7,6,7,5,1,10,9,-4,4,8,7,5,-2,5,7,-2,-8,-6,-3,8,1,3,-7,5,-7,-3,-7,10,-8,0,-9,-7,5,-1,10,9,-6,10,-6}

Returns: 569.56122618141
{0,1,2,3,3,5,6,7,8,9,8,9,12,13,14,15,16,16,18,19,19,19,22,22,23,25,24,23,27,28,29,31,31,33,34,34,36,32,34,39,38,34,39,36,44,45,42,45,43,43,38,49,52,52,51,55,56,57,53,59,56,57,56,61,60,64,59,66,59,69,59,70,68,70,73,73,74,61,75,79,79,81,75,75,72,84,86,86,88,89,88,88,89,92,92,61,88,95,79,67,97,98,101,103,92,85,104,107,103,105,110,109,112,110,111,109,114,114,111,119,109,121,108,118,121,107,126,123,124,126,121,129,113,131,129,135,130,123,131,135,125,130,140,115,144}

{-6,-5,9,3,3,-7,3,-7,3,-7,-9,-4,2,4,-5,8,-8,-7,4,9,8,-5,6,-3,3,-2,-6,9,-3,-8,-7,-4,6,1,-8,10,0,-9,4,-3,4,-9,2,2,3,10,10,-4,0,1,4,-1,-7,-9,10,-2,-3,-6,-6,-4,-7,2,-3,-5,-8,-2,-1,9,-1,8,4,-1,5,1,7,1,3,-4,10,1,2,-4,-8,5,-9,9,-4,2,-4,-8,9,6,4,-1,-4,-2,-7,7,-5,7,2,-5,-5,9,-2,-7,0,0,-6,6,-8,10,1,8,-8,1,2,9,0,7,-8,10,-4,-4,5,6,-4,0,3,3,6,-9,4,-7,10,-5,-8,2,7,-5,1,2,1,-3,2,-7}

Returns: 344.7479561176483
{0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,1,1,0,1,0,1,1,0,0,2,1,2,0,0,1,0,3,1,0,3,0,3,1,0,5,0,0,1,2,3,2,1,0,0,3,6,0,2,2,0,1,1,0,6,2,1,2,2,7,4,2,0,7,1,2,2,5,5,1,1,8,0,3,2,4,6,1,0,8,5,13,8,1,1,10,2,5,0,8,0,2,4,2,1,10,3,5,4,3,1,9,2,8,1,5,7,16,6,0,4,5,5,5,0,1,23}

{-5,9,4,8,-2,-3,3,-4,3,8,10,-1,8,-2,1,4,0,-8,1,-8,7,-9,-5,7,-6,10,0,7,2,-5,-9,0,-4,5,-7,-3,10,7,3,-6,2,-4,9,-5,4,-5,-3,0,8,3,-1,5,-7,7,10,7,-1,4,0,0,5,6,-6,-7,8,8,-6,-9,6,2,7,-6,9,-7,-8,-8,9,1,-7,-8,3,4,-4,-2,-9,-6,2,-2,6,4,-3,6,3,-1,9,-4,-3,-7,4,-4,-6,0,-1,-1,10,6,3,-2,5,10,5,10,-6,-2,-3,3,5,5,2,-2,1,6,-1,0,4,0,-6}

Returns: 534.228205128205
{0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,2,0,1,1,2,2,1,2,0,1,0,2,2,0,3,1,0,0,0,0,0,2,2,3,1,2,3,0,3,1,1,0,3,4,4,14,9,2,1,1,0,6,0,1,1,0,1,5,0,4,5,2,1,4,4,11,5,4,1,1,1,3,1,6,7,2,4,13,2,8,3,14,8,1,11,4,0,10,18,6,2,11,12,3,6,4,8,2,10,0,0,8,3,6,2,9,7,9,0,0,5,8,7,10,3,0,0,3,3,9,18,5,8,2,3,2,0,4,2,7,7,0,11,10,6,8,11,1,10,3,4,20,3,47,6,13,16,24,24,7,14,2,7,7,2,6,1,3,7,4,3,9,0,24,2,5,3,11,8,1,11,16,8,14,1,4,25,13,17,3,15,8,29,11,8,1,4,22,39,4,11,0,9,17,2,3,18,16,34,10,13,20,17,13,10,6,4,18,6,10,2,4}

{-1,-4,6,5,-3,-7,-2,0,0,-3,5,-8,-3,8,2,-2,7,-3,-7,-8,9,10,-4,-3,3,5,6,-5,0,1,3,2,1,-8,7,0,1,-3,6,-5,-9,-1,5,7,-5,10,1,9,6,4,-3,-8,-2,10,-6,10,4,0,-2,-8,3,-7,10,4,-6,-7,1,5,-7,-8,10,-2,-1,7,-4,-1,-8,7,-9,3,-6,6,2,-5,-6,-7,-2,-5,3,-4,-5,5,5,-1,3,-3,0,9,2,-9,0,8,5,-1,1,-4,-9,6,5,7,8,1,-8,0,-4,-2,2,-8,10,-3,4,-4,-7,8,5,8,-3,-5,7,-9,-9,9,1,-1,1,9,-5,-6,0,-8,0,8,8,2,5,5,-7,-8,7,3,5,1,8,-6,10,-6,10,8,1,7,9,-9,3,-1,8,0,4,-5,-3,2,4,-3,-5,-4,-7,-8,-9,1,7,9,-5,3,-1,5,6,-3,3,1,0,0,10,5,2,-5,6,5,7,-2,2,10,-7,3,-4,7,-7,-7,8,-8,6,9,8,9,1,7,-1,-4,1,-4,-9,-5,5,-5,1,-2,-8,-2,-6,-1,-9,3,-3,-4}

Returns: 1015.854852377732
{0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,3,2,0,1,2,0,0,1,4,0,2,3,0,0,9,0,4,0,0,6,0,2,0,7,0,2,1,4,0,0,10,7,0,2,1,5,2,0,2,2,0,9,2,7,4,6,3,8,0,1,0,0,0,0,2,1,4,2,5,3,6,0,4,3,0,10,1,0,4,0,5,1,11,6,9,0,14,5,7,0,1,0,0,6,0,1,21,0,3,14,13,0,0,8,1,26,4,2,12,8,2,4,4,14,2,12,1,14,9,6,8,2,0,1,3,20,1,2,0,4,8,14,3,9,1,1,5,2,14,10,7,1,14,7,3,1,2,10,2,18,18,1,22,0,5,7,31,3,12,13,12,1,5,6,0,20,1,3,7,9,13,13,0,1,2,5,2,19,4,3,1,1,0,7,7,40,1,32,9,2,0,24,0,1,45,2,1,5,3,6,6,1,16,21,9,4,9,4,30,25,21,8,13,3,5,25,5,1,25,13,22,27,11,13}

{-8,-8,-1,-4,-8,-3,1,3,8,-2,-7,5,-5,-2,-6,2,7,-9,-4,4,10,-7,1,-5,2,9,3,7,-6,9,2,-7,2,-5,4,-2,-5,-7,3,-9,9,10,-8,-6,-4,8,6,5,-2,-5,3,-4,8,1,-5,-9,-4,-3,6,-4,1,1,-5,10,-8,-6,-4,9,-2,6,-1,-2,1,6,4,-4,10,7,9,1,10,10,3,-5,-7,2,-1,3,-6,2,-6,-9,2,5,-9,-2,7,-3,4,3,-2,-5,-9,-5,-1,-9,3,-5,6,4,-3,-8,-9,9,-1,8,-5,2,-1,5,-2,-2,1,7,3,-1,-6,3,5,-3,4,0,-9,7,9,9,3,8,7,10,-2,-3,-3,2,0,-8,-5,8,-3,-3,8,9,1,-9,-5,-2,2,3,-7,0,8,1,2,7,2,6,2,-6,5,-9,-4,-1,10,4,-7,-7,-7,5,-9,4,3,-5,2,10,9,2,9,3,4,5,-3,-3,1,-2,-1,0,-3,-8,5,3,4,3,-8,6,-9,7,-7,3,10,2,-6,8,1,5,5,6,5,1,9,-5,8,-2,-1,-9,-9,2,-7,6,10,-2,-1,-9,3,-1,3,-5,6}

Returns: 1029.856132756133
{0,1,2,3,4,5,6,7,8,9,10,11,11,13,14,15,15,15,17,18,20,20,22,23,23,23,26,27,28,26,30,30,26,32,34,33,34,37,38,39,40,41,39,43,44,44,45,47,48,48,49,50,50,53,54,53,53,51,58,58,57,58,60,59,61,57,65,67,62,66,70,70,69,73,71,73,63,77,76,69,76,77,81,83,79,85,82,81,88,85,90,80,92,91,93,92,96,95,95,99,100,95,98,103,100,105,101,107,108,107,107,111,109,111,113,115,114,111,105,118,119,116}

{-6,-1,1,-2,9,5,-6,2,-2,-9,8,-8,10,-5,-2,0,0,-2,0,-9,4,1,-2,-9,2,-7,-7,2,5,7,1,6,-4,4,8,9,3,4,-4,2,-2,8,-9,8,2,1,-6,1,3,-7,-1,-1,8,-1,-1,8,-4,2,6,-1,10,6,6,-8,-2,2,8,-4,1,7,5,2,0,-7,0,-4,7,-4,-5,6,10,1,6,0,-8,-2,4,-9,-3,7,-6,6,-8,9,6,8,2,-1,1,10,5,0,-8,9,2,-2,-4,6,-1,-3,-6,-8,-9,0,10,9,8,2,10,5,2,5,7}

Returns: 244.34452249799952
{0,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,0,0,2,0,1,0,0,0,2,0,1,1,0,3,0,1,2,4,2,0,2,0,0,5,1,0,0,4,0,0,3,4,4,1,0,2,1,2,1,2,0,1,4,3,5,0,3,0,3,2,5,7,4,0,4,2,5,13,5,10,3,2,1,5,1,1,4,1,1,0,1,2,0,3,16,1,0,0,6,1,3,2,2,5,5,10,10,9,0,0,7,5,5,3,8,8,0,6,4,13,3,0,8,1,3,8,6,3,0,0,9,4,6,11,1,2,6,12,2,4,15,1,3,12,6,1,8,7,3,4,6,3,17,4,3,6,0,9,21,13,1,6,10,0,13,3,29,3,4,24,8,21,1,1,0,10,10,5,13,12,15,2,16,19,1,8,8,7,35,2,11,6,3,10,12,0,2,1,7,0,13,0,5,14,0,18,1,6,3,2,6,1,30,5,1,3,9,6,1,7,5,0,21,13,27,15,0,4,13,2,7,3,3,16,1,0,2,3,1,24,56,1,13,3,33,1,8,13,20}

{-8,-1,3,4,10,-9,8,-6,4,3,6,5,7,-1,6,-6,-2,-9,4,-3,-2,10,-8,-1,0,-7,2,7,-5,-8,-4,-9,10,1,-7,6,-9,7,-4,-3,7,2,-3,2,-5,7,-9,7,-4,-8,-4,-9,-1,1,-7,-3,-7,5,6,-8,3,-1,-3,8,-1,0,6,-2,5,3,-7,0,-2,-9,8,0,10,-1,-3,-3,1,-3,-9,-9,2,8,-5,-5,1,-5,10,-5,-6,-2,7,-4,4,4,-4,0,-7,8,3,8,-2,-5,-5,6,9,-3,-5,1,-7,10,-3,-2,-3,7,9,7,4,1,-9,10,-4,2,-8,9,0,2,9,8,1,2,-5,10,5,10,-9,8,-7,-8,-2,4,8,-9,3,6,-2,-7,-9,-9,3,-9,-5,-7,6,8,-7,0,-9,-7,4,-3,-9,-6,-7,-5,3,5,10,7,10,10,2,2,0,-9,-2,-6,6,3,1,3,-9,-5,9,7,-7,-1,10,-8,-8,3,3,3,4,0,-3,6,3,0,2,7,-1,-6,7,9,2,-4,-5,10,8,-6,-5,4,0,-7,0,4,5,0,0,-6,-3,-8,2,-1,5,9,0,-9,9,-1,-6,-4,-9,1,9,4,0,3,10,-9,9,-4,2}

Returns: 1156.5327960648558
{0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,2,3,0,0,3,0,3,0,1,0,2,1,0,0,2,2,2,1,0,0,0,1,0,3,0,0,1,4,1,5,0,1,2,3,5,2,0,18,5,0,1,3,0,1,0,1,6,6,3,1,3,10,0,2,2,0,8,1,1,0,1,1,1,4,5,1,1,6,4,0,1,7,3,3,1,2,14,2,2,0,0,10,17,10,6,3,5,1,2,8,0,9,20,0,3,6,8,13,7,12,0,0,5,12,3,16,3,1,21,20,6,1,10,12,1,7,12,4,5,0,14,13,4,5,8,2,11,4,0,7,0,1,16,3,5,7,1,2,2,6,1}

{7,-1,-6,-9,-9,-6,-8,6,-9,4,6,-9,0,-9,-8,2,8,-6,-9,-9,7,-3,7,-7,6,-2,-9,-2,7,-2,8,-9,-7,-9,-7,-2,-5,-1,-5,-3,-8,7,-6,0,-8,-1,-9,-6,-8,-9,3,-9,-6,-3,-9,-4,7,-9,0,0,-8,-5,-5,5,-9,-8,6,-9,-9,-4,-8,-7,-3,-9,-8,-9,8,-9,-1,-9,4,0,-4,-6,-9,-5,-9,-1,7,-1,-6,-9,-8,1,-7,1,-9,-9,-2,-5,-1,-3,5,-7,2,5,9,-8,-9,-9,4,0,-7,-1,-9,-8,-8,-8,-8,-6,-1,-6,8,-8,-8,-8,-7,9,-7,-8,-1,-8,7,-5,-8,-9,-7,-9,-3,-4,-9,-8,-5,-3,9,-7,-9,5,-9,-8,-7,-7,-1,-9,-9,-6,-9,5,-9,9,-8,-8,-6,5,4,-7,6}

Returns: 811.1328664799254
{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,3,1,0,0,1,2,0,0,1,0,0,0,0,1,0,0,5,0,1,0,0,0,3,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,1,1,2,3,0,0,0,2,5,3,1,0,0,3,0,3,3,1,0,4,4,2,1,0,0,1,0,2,0,3,4,1,4,2,6,1,4,6,5,0,2,0,5,5,1,0,10,1,11,0,7,5,22,5,2,3,2,3,2,6,2,5,12,1,2,3,5,5,1,2,0,7,2,5,20,1,13,1,1,4,0,0,13,2,3,8,12,1,7,1,0,0,18,7,1,0,1,6,0,0,0,5,1,1,3,2,4,3,0,2,2,7,14}

{8,10,0,-3,7,-6,-2,4,-1,1,2,2,4,6,-7,-2,8,1,1,5,10,-2,4,7,4,-2,2,-6,-7,-9,3,-9,0,5,-6,3,10,-3,3,-9,2,7,9,1,9,3,-3,3,-5,7,3,4,-3,8,4,-1,-5,1,6,4,-6,4,4,5,3,10,-5,-7,-9,-7,8,2,-2,-2,-2,-7,3,-7,1,2,5,-8,-8,-5,8,0,-9,-9,-9,-2,3,-1,-8,6,3,3,4,3,-4,1,2,4,3,0,-8,-3,4,5,-5,10,-9,5,6,4,6,-4,-7,2,5,-1,-6,3,-7,8,7,6,8,-6,8,6,-6,7,10,0,5,-1,3,-1,-6,-5,8,0,3,-1,0,1,8,7,-4,1,-2,10,-1,-2,-6,-5,-8,-6,9,-8,-2,7,-8,-2,10,4,1,4,-2,4,-4,8,5,-8,-7,10,4,-2,-1,-1}

Returns: 786.2509742097177
{0,0,0,0,0,0,3,0,0,0,0,1,0,2,1,1,6,1,2,2,3,6,2,1,7,0,0,0,0,2,11,2,3,4,0,4,6,1,5,8,0,5,16,20,9,4,8,1,7,5,15,0,2,4,1,0,7,8,4,12,8,9,6,9,17,1,13,5,6,0,15,8,7,1,1,2,29,15,4,1,10,7,7,22,0,1,48,8,6,20,17,1,3,9,8,21,8,0,0,0,7,0,18,0,38,66,19,20,15,1,8,0,2,9,5,32,43,24,4,10,5,16,19,1,25,37,5,3,40,43,4,17,10,23,0,13,7,1,24,2,55,34,10,40,24,7,3,50,24,47,9,41,89,11,36,17,39,59,29,15,36,3,17,0,28}

{-8,-2,5,2,4,1,-4,-5,10,3,-8,2,0,-9,3,0,5,9,10,8,9,-9,0,-7,8,8,-6,7,2,-6,-7,4,4,-3,-1,1,10,7,5,-7,10,-1,9,8,-4,6,-3,6,-6,-7,-7,6,8,6,5,-2,8,10,-5,4,4,10,-5,-1,-2,10,-7,7,6,8,-1,-9,-1,1,-4,-6,-9,0,-4,3,-9,4,5,-2,4,-6,5,-3,-6,2,8,8,4,10,-3,-5,4,-3,-6,-2,3,-1,-8,-2,3,8,9,10,5,5,-1,-4,4,-9,8,-8,-3,-7,-3,-5,2,8,-4,4,-5,1,-1,0,-3,9,-9,-5,3,-5,-4,-8,-6,3,-1,-9,6,9,-6,7,-7,4,2,3,0,-7,6,10,5,5,3,-4,2,-1,-6,-3,0,-5,7,3,-7,-2}

Returns: 645.5492063492064
{0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,2,2,3,0,0,1,1,2,0,1,3,0,2,0,0,2,0,1,0,2,3,0,3,0,1,0,0,1,3,0,0,2,2,0,2,2,4,3,0,3,3,0,4,5,4,1,5,12,2,9,4,5,0,0,0,12,0,8,1,2,6,5,2,2,5,1,5,6,11,0,0,0,1,1,1,9,3,2,2,1,2,5,3,5,9,3,0,6,4,2,0,2,5,3,5,2,2,4,2,5,3,6,0,5,3,13,2,4,5,8,26,0,11,0,1,1,16,6,3,4,14,3,16,2,5,12,17,0,0,6,3,6,13,4,14,25,2,6,5,2,11,30,6,0,6,11,0,1,3,2,20,0,6,6,10,3,2,7,0,14,14,2,12,18,26,0,5,0,7,12,15,8,7,4,11,6,7,5,2,19,25,21,1,48,5,1,3,5,3,3,0,5,12,14,14,20,4,11,28,4,3,5,3,0,1,5,2,8}

{-9,4,9,-8,-9,-7,-1,-7,4,-9,-9,-9,4,-7,9,-9,-8,-1,-4,-8,5,-2,-8,-7,-8,-6,-7,-3,0,-4,-8,-1,4,-7,-8,-9,4,-9,-6,8,-4,-4,-9,-6,-8,1,-8,-9,-9,-7,3,-8,8,6,3,-4,-8,-9,-9,-7,-5,6,-9,-9,-3,-9,-9,-4,-9,-3,-9,-8,-7,-4,6,0,-9,1,0,-4,-9,-7,-6,6,-9,-9,-9,-7,4,-8,-2,-7,-1,-4,-3,5,-1,-3,-8,5,-5,7,-9,-8,-1,-9,-9,-1,-7,5,-4,-9,-3,-7,-9,-4,6,-8,-8,-8,-9,9,-8,-9,-4,-7,-6,0,-9,-7,-6,-6,-6,-4,-4,-8,-3,5,6,-9,-8,-9,6,-9,-9,-1,-9,2,-9,-3,-6,-7,-9,4,9,1,-8,-9,-2,-9,-5,-7,-7,6,1,1,-6,-8,1,-6,-7,-3,-8,-9,-2,-9,3,-7,-7,-8,2,-6,-9,4,2,-8,-1,-8,-6,1,-2,-9,-3,-9,-6,-8,1,-7,2,-9,-4,-1,-3,-8,-7,5,6,7,-1,4,-9,4,-4,0,-3,-8,4,-7,-9,2,-9,-1,-9,-7,-9,-8,-5,-9,9,-3,5,-5,8,-8}

Returns: 1151.9480286738353
{0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,15,17,17,17,20,17,22,18,23,25,26,27,28,25,30,30,31,31,33,31,35,33,38,38,38,37,42,42,37,44,37,47,48,47,45,46,49,53,51,52,55,52,53,57,60,55,60,62,62,63,65,67,68,64,70,69,69,69,69,70,74,77,71,78,79,78,74,71,72,84,83,85,85,82,90,84,85,88,93,93,90,95,96,96,97,95,101,101,104,98,100,105,97,107,108,103,109,110,107,112,112,113,105,116,120,116,121,119,120,120,118,115,125,129,129,130,128,133,121,131,135,135,138,132,135,136,142,140,142,143,144,147,141,137,146,139,150,150,145,148,156,150,155,157,120,146,153,152,133,162,164,149}

{-2,-2,5,2,-8,5,5,5,6,-5,-6,-3,-7,-3,-9,9,1,-9,1,10,4,5,-1,-3,7,-9,-4,4,6,-2,1,10,-6,4,2,-9,-2,-7,0,5,-6,6,0,0,-8,-9,10,-8,5,6,-5,9,-1,7,-4,9,3,6,9,5,6,6,8,0,2,9,7,2,4,0,7,-5,8,2,-1,4,1,1,-4,-5,7,1,-7,-1,8,-1,-1,-6,5,-3,9,5,-8,-1,5,1,1,-5,-8,-5,-7,-4,2,-7,-9,-8,-1,9,7,2,2,4,-7,-9,4,-6,-2,0,2,1,-7,9,0,2,4,-5,-4,-8,-5,-8,0,-2,7,-1,9,-6,-5,-2,6,-3,10,-1,10,10,-1,9,1,-7,2,8,4,-1,-5,-3,-9,-8,-7,1,9,-1,4,-5,5,-1,-2,0,6,4,-3}

Returns: 319.8602917047196
{0,0,0,1,1,0,0,0,4,2,0,0,3,0,3,2,3,1,0,0,1,1,9,0,0,9,3,2,2,9,4,16,10,4,0,2,9,25,16,1,16,28,2,6,15,1,14,4,18,3,14,20,4,18,13,22,2,11,6,7,2,4,5,16,1,11,26,18,8,25,1,0,9,0,2,3,2,29,0,39,9,32,36,34,25,2,54,9,29,0,9,64,17,10,17,1,18,37,5,12,3,8,6,38,45,2,22,3,50,10,15,50,29,30,69,31,45,55,14,27,30,8,5,22,19,40,37,39,9,28,12,10,10,93,27,0,3,22,19,11,24,10,57,46,17,12,8,1,18,109,0,73,19,14,28,3,16,9,91,0,24,13,28,100,41,5,65,24,3,19,33,68,15,56,68,9,32,124,64,12,41,13,32,20,10,16,4,15,4,37,46,37,36,101,21,17,75,116,3,1,37,42,26,16,23,34,16,40,87,41,38,7,35,32,36,84,26,9,10,10,79,111,11,44,77,57,52,171,69,46,52,111,42,22,31,7,28,3}

{-2,10,-7,-4,7,-8,6,1,-5,-9,-8,-4,-5,9,-1,4,-3,7,-1,-6,10,-4,-7,-9,5,-6,-3,8,-2,5,-6,2,2,-5,10,-1,4,1,-9,1,6,7,-4,7,9,10,4,-3,-5,7,9,-5,10,1,10,-7,1,4,-6,7,-9,-5,-4,6,-1,-3,-1,-7,-7,9,7,9,1,-3,3,5,0,9,-3,5,-6,9,6,-8,-8,-9,5,6,2,-8,3,-8,0,-4,-7,-6,-1,-2,8,-1,10,-3,2,7,-9,-2,2,-9,8,6,-6,-3,7,0,-1,6,-6,-2,7,-3,2,-2,7,8,-7,-8,-8,7,-1,-5,1,2,-8,-6,1,4,0,3,-6,8,-2,9,-7,0,6,5,5,-5,-9,-1,-5,-2,-7,-9,8,-6,6,8,-6,4,7,4,-1,2,2,-5,-9,2,-6,10,4,-3,1,7,8,-4,2,-5,-5,-2,10,-7,-7,7,5,8,-5,-2,-4,-3,-1,-5,-5,10,-7,-4,-5,-4,6,1,3,-1,-1,0,-1,9,-4,10,-8,-8,6,7,-9,1,-7,2,-1,3,4,8,0,10,6,0,-4,-8,9,-7,-2,6,-2,-2,-1,5,3,6,0,4,2}

Returns: 844.1427617521365
{0,0,0,0,0,0,0,1,0,0,0,1,0,2,4,1,0,0,0,1,1,1,0,3,0,2,5,5,1,0,1,0,1,4,5,2,0,0,1,1,1,2,1,0,5,2,2,0,2,2,3,8,0,7,8,4,1,1,2,2,0,4,3,1,2,4,1,0,5,11,0,9,22,2,3,9,2,14,3,0,1,2,5,7,1,1,1,9,3,0,4,11,12,2,10,2,5,13,9,11,0,1,5,11,0,0,3,0,4,1,3,5,0,1,3,24,13,28,2,3,9,3,2,7,7,1,6,8,3,8,7,8,2,9,2,21,14,2,24,10,0,4,16,12,15,11,7,5,40,5,4,25,9,16,9,19,8,3,1,5,8,2,0,1,16,3,38,14,6,17,10,21,6,6,18,27,15,1,4,1,14,11,2,0,2,23,5,0,5,14,0,6,9,9,3,22,12,30,7,10,18,5,16,31,10,16,3,3,35,21,26,47,4,20,42,17,10,13,8,2,28,12,11,22,13,39,18,10,7,17,19,1,56,38,3,3,13,34}

{-7,2,9,-1,6,7,-2,3,6,-9,-3,9,-7,4,0,6,7,-6,-6,-8,9,3,9,10,9,-5,-6,7,-6,1,-4,-8,10,8,-7,-3,-9,7,2,-9,10,8,2,-3,-8,-4,3,5,-5,-9,-7,5,-7,-2,-1,6,-6,-5,4,7,2,3,-4,1,2,1,-9,5,6,-4,0,8,3,2,1,-1,-2,-6,9,7,9,-2,-9,2,3,9,5,-5,-5,-6,1,-3,2,7,7,8,0,10,-7,4,7,-5,7,0,-8,8,2,4,-4,0,7,10,2,-7,6,9,-3,-7,-1,7,-6,9,9,7,-6,2,-1,-9,-5,-8,10,-4,-3,0,-3,-5,5,-8,-4,-8,7,-3,2,1,-7,-6,7,-4,-9,3,-5,9,9,-6,10,4,-8,10,7,0,9,2,-5,-7,1,-4,4,9,-5,5,-6,-3,-1,10,4,10,3,2,10,-2,8,4,6,10,3,6,1,8,-8,8,1,1,-7,10,3,-6,-4,2,-5,10,-2,-8,0,7,-6,9,-9,1,-5,10,10,0,-1,-3,8,-6,-4,4,-7,2,5,-2,7,2,5,-1,3,1,-4,8,8,-5,3,-8,4,8,7,2,-1}

Returns: 1109.1465408217512
{0,1,2,3,4,5,5,5,8,9,9,8,12,13,13,11,16,16,13,12,17,17,20,18,21,17,20,23,26,19,17,26,23,32,28,35,35,32,32,34,35,40,40,38,40,40,41,47,28,47,46,44,49,46,48,45,55,39,35,55,50,61,48,57,62,60,59,46,45,62,52,69,47,58,64,64,51,76,68,65,78,63,67,80,75,82,74,85,76,61,87,87,75,85,91,80,83,94,88,78,100,89,78,95,72,103,99,92,86,109,105,102,95,78,107,111,75,106,81,114,115,104,66,101,123,85,119,118,127}

{2,-6,-6,2,-8,-6,2,-8,-5,-5,10,-9,2,7,-6,-5,6,10,10,-4,-3,-4,-1,7,7,-8,7,-1,5,-4,-4,-7,-2,-9,4,2,2,5,6,0,-9,-9,-7,3,6,-4,-4,1,-9,-3,-5,9,5,5,4,0,4,-4,-6,1,-9,10,-7,-6,9,9,-7,0,-5,1,2,-4,-4,1,-9,0,1,5,-8,-2,-7,-9,-4,7,-5,-7,3,8,6,7,9,8,-3,-8,-8,4,7,5,7,-5,10,7,-1,-7,-1,-9,-9,8,-2,4,0,-8,10,6,3,2,-8,0,3,-2,-7,0,-8,6,-7,-2,-1,0,-5,9}

Returns: 325.4755407262733
{0,0,2,0,1,2,1,5,3,7,5,1,12,1,4,6,14,10,5,12,18,15,13,12,6,10,2,27,15,18,15,12,7,20,8,28,19,1,21,27,33,13,38,17,43,35,5,16,34,12,43,22,18,35,41,49,12,55,49,47,50,55,41,61,0,48,55,62,47,41,28,14,32,64,53,4,17,34,20,24,65,72,76,4,47,26,18,84,33,17,84,50,2,27,36,52,63,21,68,97,12,38,30,20,35,97,76,45,27,74,60,62,101,23,98,59,75,16,47,10,102,95,50,87,34,6,88,4,124,42,129,87,78,85,0,31,18,9,21,100,52,105,101,63,87,33,135,72,28,57,124,141,111,125,88,26,0,80,69,53,87,111,56,18,19,76,24,33,129,10,170,104,76,135,168,108,9,123,42,30,126,88,91,163,95,90,118,102,36,178,73}

{10,-4,-1,-3,-7,8,-5,-1,0,-9,-5,9,5,-5,5,-2,5,3,9,-4,-2,9,0,7,6,-9,6,-1,10,3,3,-8,-1,4,4,8,8,-4,7,-8,-6,-7,2,5,-7,1,5,-3,1,-5,3,0,-8,-6,4,-8,-7,8,-2,-9,-3,-5,-5,5,-5,0,1,6,8,-9,-9,4,8,-7,-7,-1,3,-6,-7,-2,-6,10,-9,6,4,9,-9,1,-5,-9,-1,-7,0,-4,-6,0,7,-7,-1,7,-6,-2,-7,9,1,5,6,-3,10,5,-7,5,8,9,7,-2,-2,7,5,-5,-3,8,-1,-7,4,10,-2,-9,-6,5,4,5,-9,3,2,8,-8,4,-3,0,3,-2,6,-3,8,-1,-9,9,5,8,7,-7,8,8,-5,-2,-3,0,-6,2,-7,0,-8,-5,1,-2,-3,-5,6,-4,-6,1,10,4,10,5,9,9,-3,2,-1,5,-7,8,1,9,-4,8,0,-9,-7,-8}

Returns: 673.8417410714287
{0,0,0,0,0,0,0,0,1,0,1,4,0,1,1,3,1,6,1,1,0,0,3,0,17,0,11,6,10,6,12,0,3,0,2,6,9,1,9,2,6,9,13,0,3,15,4,10,14,4,1,13,12,3,13,0,0,1,1,8,8,10,0,0,0,4,24,2,8,6,0,1,0,0,32,17,1,7,1,17,30,13,23,2,18,14,40,10,24,16,11,20,35,13,7,4,4,9,17,10,21,30,4,44,0,11,38,27,23,1,22,0,6,2,23,11,6,2,20,47,6,3,33,16,31,50,0,14,15,6,33,10,41,0,15,0,11,14,27,6,3,16,37,0,6,8,7,30,21,26,4,7,2,40}

{7,4,1,-8,8,2,1,7,4,3,-4,-8,8,1,7,0,-1,-9,-6,-1,7,-8,-5,-1,-6,3,4,9,0,0,-9,0,7,1,-3,6,-1,9,0,5,9,-2,3,-5,4,9,4,8,-7,-7,0,-9,0,7,7,4,-3,-3,6,-9,7,0,7,0,3,-5,2,-3,8,8,7,-4,-5,4,4,1,-2,1,3,-9,6,-3,10,-6,9,-2,-1,9,3,8,-4,4,1,-1,-3,9,-4,4,-9,3,9,-4,-5,-8,4,9,3,7,3,9,3,5,-2,-5,-3,7,-7,8,-4,-5,-8,9,3,2,-8,-9,1,6,4,-5,1,2,-3,-1,-9,-9,2,3,-2,-2,-4,-4,4,5,8,1,7,7,-1,-2,-2,-2,-7,-6,-5}

Returns: 575.5665079365078
{0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,19,21,21,22,23,24,26,27,28,29,30,30,32,33,27,35,36,37,38,39,40,41,38,41,44,44,46,44,44,49,49,48,52,53,54,48,55,57,52,59,58,60,60,63,58,58,60,64,67,64,70,61,63,72,72,72,74,76,77,77,79,79,75,77,84,85,86,87,87,85,86,91,91,89,94,89,93,92,90,88,99,101,99,102,103,103,99,104,107,108,107,103,112,110,95,113,114,115,118,112,118,116,120,123,121,117,123,119,128,123,128,128,113,130,122,118,127,137,138,139,139,135,140,141,133,145,137,143,148,139,145,147,139,152,154,147,146,152,157,141,134,160,153,159,160,160,157,165,163,155,169,169,168,172,172,175,175,173,169,164,179,175,175,163,181,178,186,182,166,183,185,184,175,191,182,175,191,192,195,189,173,184,191,197,198,137,199,193,199,209,207,206,183,211,208,212,215,215,207,219,197,204,208,220,220,225,212,212,210,217,220,213,221,220,231,233,228,230,224,236,240,225,219,242,233,245,242,241,240,229}

{4,5,0,-5,1,3,4,0,1,7,10,4,-2,9,1,1,7,7,-3,-9,9,-2,-1,5,8,-3,-7,-4,-8,7,5,-4,6,5,3,-7,-5,10,-8,0,-3,8,-6,-8,-8,2,3,4,-7,6,7,8,-3,-9,2,2,3,9,-5,0,7,10,-9,0,-1,0,-6,-2,4,-4,6,-3,10,3,1,9,-5,5,6,-5,5,4,6,-1,-8,-4,-1,-3,9,3,-5,7,10,2,-4,-1,-2,-9,-1,2,-4,-5,3,9,-3,6,10,-3,7,9,3,4,-2,8,9,-5,-6,6,10,4,4,9,5,-8,-3,1,-3,-3,8,-5,-7,4,4,2,10,-2,4,7,8,-9,-3,6,4,-8,-4,4,-8,8,-7,-4,10,-7,0,-5,9,6,4,0,0,3,2,5,10,5,8,3,5,6,-4,3,-5,-9,-9,6,2,-9,-5,-1,6,6,9,2,-6,0,5,6,3,-6,9,-5,9,6,-7,-2,-6,-6,0,0,-8,8,7,3,-3,-9,-4,-8,10,8,-1,-7,4,3,0,3,9,-6,9,9,-9,1,-4,9,-8,-8,-6,7,-1,1,-6,8,-6,3,-2,-5,10,-4,3,-3,-9,-7,7,10,-9,-7,-6,7,-2,-3,-8,4,-4}

Returns: 579.8599552779713
{0,0,0,0,1,0,0,0,0,0,1,0,1,2,3,1,1,0,0,0,0,0,0,1,0,0,1,2,2,0,0,2,0,5,0,3,2,0,2,0,1,1,2,0,1,1,6,0,1,1,6,1,0,8,0,3,3,0,3,5,0,4,4,1,17,2,5,0,2,0,1,2,7,10,0,2,10,6,0,7,3,7,1,6,4,5,5,6,0,5,12,3,1,4,1,0,0,4,7,1,21,3,9,13,7,0,4,6,1,0,6,0,1,0,3,2,1,8,1,0,2,3,27,8,23,4,6,11,3,4,4,8,3,7,18,0,3,1,10,2,10,2,3,0,8,4,0,7,8,6,3,21,3,7,9,14,10,14,20,1,0,12,13,26,4,22,1,6,12,6,8,8,15,13,6,24,3,7,1,9,11,11,25,5,7,1,26,1,8,41,22,11,13,24,0,0,42,10,5,2,2,17,0,11,9,18,1,7,5,1,15,5,0,1,12,5,17,0,28,9,2,34,1,4,10,1,30,15,3,0,49,20,2,2,5}

{4,6,2,-3,6,-8,6,9,7,-4,-3,-8,-6,-9,-4,5,-5,-2,-3,2,-5,7,3,9,8,0,4,-1,-6,-5,0,-3,9,9,1,-9,-9,3,8,7,4,-2,9,1,4,-1,-4,-7,3,8,-7,5,7,-6,9,2,-3,-8,2,4,7,4,-6,-6,-1,-4,3,-9,0,9,7,2,1,-5,9,2,3,-2,5,5,-8,9,3,-4,-4,-7,4,-7,-7,3,-8,-7,3,-2,8,-7,10,-8,-6,-5,6,6,-6,5,10,10,-4,-8,5,10,-2,7,5,2,10,-5,-7,-9,-6,3,8,10,4,2,6,10,7,4,-8,9,0,2,2,-2,-7,2,-2,8,-6,3,-5,-2,5,6,8,3,10,5,10,6,5,-6,-6,2,-1,-8,5,1,4,-9,-6,1,-2,-5,9,-1,-1,7,2,1,-6,7,5,8,-3,7,-8,-2,10,-8,3,-7,-8,-9,4,1,-4,6,7,-6,-8,-2,-4,-2,-3,-5,-4,-1,4,2,2,7,0,-5,-1,8,-2,2,-7,9,7,8,0,9,3,-5,9,-5,6,-9,10,2,-7,-7,10,-1,9,-9,-7,1,7,-1,-9,7,-8,-1}

Returns: 1107.6275613275611
{0,1,2,3,4,5,6,7,8,9,10,11,12,12,14,15,14,15,17,19,19,21,20,19,24,25,25,26,25,28,30,28,31,33,33,33,36,37,30,39,35,37,41,33,42,44,44,47,48,45,46,51,49,51,51,55,53,52,55,57,59,57,57,56,64,63,66,67,66,68,66,64,61,70,73,74,76,66,69,78,57,75,79,81,74,77,84,82,87,88,86,89,88,93,94,90,91,94,98,97,100,98,98,103,103,103,100,106,103,109,109,107,109,107,113,114,116,116,113,117,106,119,115,121,123,124,119,127,128,128,126,117,130,125,121,117,133,129,124,135,121,108,141,140,137,137,138,131,147,147,130,149,150,138,152,152,151,142,157,145,159,158,161,157,158,165,159,167,150,153,168,168,162,158,169,161,175,175,155,126,178,148,173,171,157,185,183}

{-3,3,10,-1,-7,-2,-2,1,-3,10,-3,8,-3,0,6,-3,7,-5,2,9,-1,5,0,-1,-7,9,-7,-4,-7,4,6,0,-1,-2,6,10,-7,-4,7,-2,8,7,1,7,2,-7,-1,-9,6,0,8,-8,-4,5,-6,-4,7,-5,9,4,3,1,1,-6,-4,-5,6,-7,-9,-2,-1,-4,-7,-1,9,3,-4,6,5,5,3,-6,-4,5,3,-5,-1,-9,6,6,-3,-1,-1,9,-7,10,6,-5,4,-5,2,10,3,4,9,-2,8,8,0,8,2,1,10,3,-9,-5,8,4,-8,-3,3,8,6,6,7,4,-4,-6,-9,-7,9,1,-3,-2,-2,-2,7,5,-6,-3,-6,-2,2,-3,8,-5,3,10,5,6,-7,1,-2,10,9,7,-5,3,-2,-9,-4,-7,-9,1,6,3,-9,1,7,3,6,6,-1,4,9,10,2,-6,5,9,5,6,0,-7,-3,0,4,-7}

Returns: 377.3215368242094
{0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,3,1,0,1,2,4,0,1,0,0,1,1,4,2,0,5,1,0,0,2,5,0,2,0,1,0,2,0,6,0,0,0,0,1,2,0,3,0,1,2,1,0,7,1,0,6,3,3,2,5,3,1,0,1,2,18,3,12,0,2,0,5,1,0,5,8,11,4,11,2,14,1,1,8,5,1,5,0,0,3,3,1,2,13,1,1,0,4,4,0,0,3,2,7,4,8,2,0,6,6,0,8,4,7,10,0,3,3,2,3,0,13,2,3,8,2,5,2,0,0,12,5,1}

{-4,-2,0,5,0,10,1,-3,10,-1,5,0,2,-8,-4,-3,5,10,4,-8,-6,9,-5,5,-5,9,-2,6,-9,-4,8,-7,5,-2,-6,6,8,9,8,-2,8,3,-9,-4,5,10,-9,-9,-6,-5,10,8,-8,9,3,-3,10,-5,-9,4,2,-6,-7,-7,-3,0,8,-5,-2,-7,10,-2,6,-4,7,7,-6,-2,-3,-7,4,-4,5,7,1,-1,8,-6,7,-9,7,10,5,9,0,-4,3,4,-4,-8,8,1,-5,3,3,1,-3,2,1,10,-9,-1,-7,-6,8,-9,9,-7,2,2,-5,2,-2,2,10,3,9,-2,-4,-1,9,-8,5,3,-1,5,-7,-5,0,-9,-2,-2,-8,10,7,0,8,2,-2,-6,1,-3,7,-8,1,1,-3,5,-8,4,-4,-2,-6}

Returns: 787.0516178266178
{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,4,0,0,0,0,0,0,0,0,0,0,3,1,2,1,2,2,1,0,0,3,0,1,2,1,1,1,9,1,0,0,1,4,1,2,0,0,0,3,0,1,0,6,1,0,3,3,1,2,0,0,0,1,3,1,0,4,1,1,1,0,0,1,0,3,5,0,1,3,14,8,1,3,0,2,1,2,10,8,9,0,0,31,1,5,10,2,9,10,0,6,16,4,1,11,9,3,0,2,20,1,6,4,15,13,2,0,1,4,11,9,3,3,1,2,5,4,2,0,4,9,0,3,5,14,0,8,4,13,9,11,3,3,0,1,29,2,13,5,0,11,14,1,24,4,6,3,6,8,4,5,1,6,0,6,11,3,6,4,4,8,7,19,0,19,5,12,7,12,5,5,2,17,6,3,10,1,13,3,4,7}

{-4,-5,4,4,-6,-8,10,-1,-8,5,4,9,7,-9,-8,4,1,-4,-3,-6,1,7,8,-6,2,-8,7,-5,9,2,1,8,0,4,10,5,1,-6,5,3,6,8,-4,7,-7,9,5,8,8,8,-3,-4,8,-7,-4,-7,-3,5,-8,8,5,4,-7,10,8,-1,0,-3,4,-6,8,4,7,-5,-1,0,10,3,2,-1,-3,-1,-3,-7,6,7,3,-8,0,-6,-2,-3,7,-9,-6,0,2,-6,5,7,-9,-9,0,-7,-2,-3,6,4,9,5,-3,7,-2,-1,-7,6,-4,-2,2,-6,-9,3,5,-8,0,2,-5,4,-6,3,8,8,0,4,-9,9,0,8,8,6,-7,6,9,-9,2,1,9,-3,3,4,2,0,-6,2,3,-6,0,9,9,5,-9,-3,0,-9,-2,6,2,1,-6,-5,-5,-7,2,4,9,10,-6,9,5,2,9,1,-1,8,4,-1,1,-9,8,8,-3,-8,4,-6,6,7,0,9,8,-4,2,-3,5,9,2,6}

Returns: 906.8029315713527
{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,1,2,0,4,0,3,4,0,4,0,0,2,2,1,0,3,7,1,1,4,2,0,0,5,0,1,5,0,1,3,1,1,3,2,2,3,2,1,5,3,3,0,2,2,2,5,0,6,1,2,2,0,3,3,4,11,0,1,2,7,0,4,3,2,1,2,2,1,2,4,1,0,3,2,1,13,6,14,3,2,6,0,2,2,0,9,17,6,11,0,9,6,2,11,0,10,4,1,0,5,1,3,8,5,1,6,9,1,5,15,0,5,0,10,2,2,2,17,5,4,1,2,19,4,3,2,3,13,6,16,19,0,7,0,9,9,3,4,4,11,6,2,3,2,1,2,5,10,0,0,21,9,8,16,10,4,13,18,8,1,1,8,2,21,7,3,20}

{9,0,-8,-7,-5,7,7,1,2,-6,10,-8,-8,2,-1,1,-8,3,4,3,-1,-2,-4,-1,1,-8,-4,0,2,8,6,7,8,-5,8,9,6,4,0,3,-4,-3,-5,0,0,-3,-1,5,5,-6,4,7,0,-4,-6,6,-6,-9,-8,3,5,-4,-5,9,8,-9,8,-4,-4,4,6,6,5,6,-1,-6,-2,-1,4,-5,-4,-5,-5,-2,-2,-6,3,1,8,4,0,9,8,-9,8,9,5,4,-2,-5,2,3,-1,-6,-9,3,10,9,-5,1,8,1,7,3,-1,-5,-9,-7,-9,-2,-1,8,-7,5,4,-9,3,-5,7,6,8,-5,-3,-1,-2,9,-1,-6,-5,9,8,-1,-4,-3,-1,9,-1,8,8,2,3,2,2,-4,-7,-2,-5,-6,-9,10,1,2,-8,-7,9,-3,-4,-7,-8,0,5,-6,9,7,-4,1,-8,-8,-9,5,3,4,-8,6,10,-5,10,3,7,10,-1,10,-4,-9,-9,10,5,3}

Returns: 903.7084766549729
{0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,1,0,1,0,0,0,0,2,0,7,6,0,0,0,1,5,0,0,6,1,2,0,0,1,0,3,2,0,0,0,2,4,13,1,3,4,1,0,12,4,3,4,3,0,7,15,0,1,2,1,0,3,4,0,2,9,0,3,4,5,0,3,6,10,3,0,4,5,0,3,7,1,9,0,20,3,10,12,0,4,13,1,1,0,2,6,2,1,6,18,5,2,3,12,19,0,15,4,3,0,3,14,4,21,15,0,6,8,2,1,0,3,3,8,10,2,3,2,4,2,5,2,23,8,12,0,6,3,2,1,6,18,30,10,11,4,4,5,9,0,4,10,11,28,3,34,2,41,1,17,6,11,2,10,0,10,1,2,22,1,4,11,2,8,14,4,0,9,5,9,0,24,1,22,2,3,0,2,15,5,1,21,11,10,32,2,42,15,6,1,6,4}

{3,3,-7,3,-2,1,-5,4,-4,9,-6,-1,-8,7,8,-4,6,4,0,-6,7,-3,1,-9,5,9,-1,5,7,7,3,9,4,0,10,2,9,-8,-2,-5,8,0,1,9,-5,-5,7,5,-2,5,1,-2,8,2,7,-3,-6,9,2,-6,-2,-7,-3,4,3,5,3,-4,-1,10,6,-3,0,-3,-6,0,3,3,3,5,-9,-2,-9,1,0,7,-9,-6,-2,-4,-4,-1,-7,8,-3,-1,0,0,4,-3,4,0,2,-5,-8,7,-6,10,-3,1,9,6,2,-6,-1,8,-4,7,-4,-1,8,7,7,9,1,3,-4,2,7,8,-3,9,9,3,-4,2,8,-7,1,0,-8,-3,10,3,10,-6,4,2,9,-7,-3,6,7,9,2,-9,-2,0,-7,8,0,0,1,0,-7,8,-9,-9,-8,8,-7,5,-6,-1,6,-3,1,-5,7,0,-4,-5,-5,-7,-6,7,3,7,-9,4,2,-6,2,-6,5,10,-5,-6,10,6,-3,1,-7,9,1,-4,-8,7,-1,-4,-3,-7,6,-2,2,6,-5,3,2}

Returns: 919.0523230011787
{0,1,2,3,2,0,2,3,0,2,4,10,5,8,0,5,4,0,18,9,17,18,21,22,5,19,1,16,6,0,10,14,16,12,23,27,22,6,26,28,37,2,18,15,7,34,6,14,29,9,18,22,13,37,29,24,21,21,0,36,49,31,44,44,30,37,61,62,37,15,64,21,60,29,70,42,56,42,6,78,37,51,33,65,58,11,44,71,43,57,1,7,47,32,34,14,11,44,85,33,51,64,44,52,49,46,1,91,17,36,87,52,6,100,84,2,102,82,21,82,44,8,109,64,102,53,62,50,102,69,68,121,51,117,80,38,125,70,55,34,37,121,34,88,123,130,2,140,21,96,8,115,30,37,89,23,77,99,103,108,118,89,106,41,150,117,65,164,165,129,117,40,13,56,80,108,34,83,106,41,43,152,19,52,102,19,185,36,138,105,62,28,71,104,174,151,16,127,71,84,155,11,188,138,114,147,132,193,44,205,65,35,69,188,48,160,121,98,47,102,113,99,178,80,180,39,65,40,187,161,161,51,130,21,79,16,138,78,148,97,224,73,140,189,77,110}

{6,-2,5,8,-4,-6,-3,-7,-9,2,-2,10,-8,9,-2,3,-2,7,7,-2,-9,-6,2,2,3,4,-8,5,-9,-2,9,4,-1,7,-7,8,-2,-3,2,2,-8,5,-8,-6,10,-7,9,-9,-9,1,-7,10,8,-9,-9,8,3,6,-8,4,-1,7,-4,1,0,1,2,-8,3,7,-4,10,6,-9,-3,-3,-3,6,6,-4,2,6,2,-6,10,-7,5,-3,4,-5,10,3,5,-9,-7,-8,-4,6,4,5,-6,-2,1,5,-1,-1,5,5,10,-7,-3,-1,10,4,6,5,-1,8,6,6,-2,-6,-2,-5,-8,4,-7,-6,1,-2,-7,5,3,8,-2,7,8,8,8,-9,8,2,9,1,-1,-4,4,-3,10,-5,-8,-3,-6,10,8,9,-5,4,4,6,5,-9,8,-4,-8,-1,-3,-8,7,-2,-5,-2,10,4,-7,-3,8,9,-8,4,3,-6,-1,7,-9,-9,3,4,-9,-2,1,-4,-4,-2,1,7,-4,-2,-8,4,7,-4,-5,2,-4,4,-6,9,-2,10,5,-7,0,1,6,5,-9,4,9,-1,-3,-6,-3,-9,-1,-2,0,-6,2,4,-5,-7,8,2,4,0,-1,9,3,-5,-1,-1,-1,3,-8,7,7}

Returns: 750.8347222222222
{0,0,0,0,0,2,0,0,2,0,1,0,2,2,2,6,1,5,11,4,4,10,5,8,1,8,3,1,6,4,1,5,11,0,0,0,27,3,6,10,6,6,18,0,33,1,2,15,5,9,21,1,13,6,19,19,4,4,9,11,0,31,5,3,6,6,18,19,27,10,12,25,10,20,6,4,10,36,33,16,31,18,3,12,35,18,4,8,40,0,6,11,10,4,21,5,2,31,8,52,8,19,32,26,22,0,21,15,22,48,17,32,10,20,3,36,23,26,1,6,29,31,5,34,45,49,44,7,68,6,12,63,22,23,74,49,11,54,37,19,63,68,36,44,30,13,17,31,44,10,55,23,20,2,14,9,19,17,54,5,46,23,31,18,15,14,69,53,28,14,17,7,38,8,5,84,21,26,34,142,42,29,12,102,72,10,25,4,0,82,44,7,40,132,42,13,4,12,27,14,94,103,90,43,27,55,47,49,13,45,34,128,14,25,4,53,9,9,26,75,4,55,17,85,35,94,73,18,57,78,61,36,3,40,27,102,120,86,19,0,29,57,65,16,15,151,18,51,39}

{9,6,9,8,-1,-6,0,-6,10,3,4,1,10,-3,-1,8,10,7,-7,-4,-1,-2,10,8,0,-9,3,9,-5,8,-6,-1,6,-7,9,5,9,3,5,10,5,5,6,3,-6,4,-4,7,-2,-8,5,2,4,-8,-2,5,-3,-9,-1,0,0,-9,-5,4,6,-7,-7,-7,2,-5,-3,-2,-1,-1,-3,-4,-4,-2,3,-7,0,0,3,4,8,0,9,-7,-4,10,9,4,1,-6,2,-4,3,4,-4,-6,3,-6,8,-9,4,-8,4,8,5,1,-9,-5,6,-3,-6,-3,4,2,4,-4,3,-8,4,5,-2,2,6,6,1,3,-8,-9,3,-4,2,-7,6,7,4,-3,-1,-1,3,2,2,4,8,-3,-3,9,9,-5,2,3,8,-9,-5,5,-3,0,8,-3,-4,6,6,10,-5,10,4,6,4,-1,9,-8,9,3,6,-4,-7,0,10,6,-5,3,-7,1,8,-9,1,-5,8,-6,3,4,-7,5,-2,-5,5,6,2,6,7,1,0,-8,-8,9,-2,-3,-4,0,0,10,-9,-9,-7,-4,-6,0,2,4,-1,-9,-2,-8,-6,8,6,3,-5,-6,0,-7,1,-2,-9,7,9,10,0,10,8,-9,-8,5,-1,7,4,-9}

Returns: 878.074669312169
{0,1,2,3,4,5,6,7,8,9,10,11,12,13,13,13,14,15,18,19,18,20,22,23,20,24,24,24,27,29,28,30,32,29,34,34,33,35,32,39,30,30,42,42,38,42,45,47,44,42,47,47,46,53,50,51,51,49,58,50,60,61,52,63,63,48,66,64,65,65,70,71,70,71,68,63,70,63,74,57,78,73,79,63,84,72,82,86,87,81,85,89,85,90,89,81,71,96,93,99,98,97,90,103,92,105,100,106,102,106,106,77,103,89,111,109,112,117,118,116,118,113,112,119,113,125,117,113,126,124,104,130,116,107,124,133,127,133,99,114,134,136,139,142,140,139,137,135,123,144,144,137,152,147,146,140,123,156,154,151,158,160,136,153,135,155,164,167,154,158,165,129,155,124,173,165,162,175,147,167,172,177,156,165,155,181,146,160,186,172,174,185,191,154,194,193,177,190,186,175,147}

{-1,-4,9,-7,-6,0,4,9,-7,-7,1,-4,2,-6,-6,2,8,-6,-3,7,9,-9,-5,-8,-6,1,9,-6,10,2,2,1,-5,1,3,2,-5,8,6,-6,-3,-9,8,5,-5,-4,1,8,7,-9,-5,-9,-8,-1,-7,3,-8,3,4,6,7,-7,4,-4,10,-2,7,5,9,-2,1,-5,0,-9,1,-8,-5,2,7,-9,8,8,0,4,-4,5,-8,-2,5,-2,5,0,8,7,7,6,-3,10,7,8,-6,-5,10,0,10,2,2,6,5,4,4,-7,3,7,-7,10,-5,3,10,7,6,-8,-7,9,10,-2,-9,3,10,-2,-5,0,-5,-4,5,2,7,4,-8,-1,-8,6,10,-6,-3,8,-1,4,-8,-7,-3,-3,8,3,-5,6,-5,6,-8,0,7,4,3,-3,4,3,5,4,-2,-1,4,8,-5,-3,4,0,-3,0,3,9,-4,4,-1,5,-8,1,-4,8,-9,9,4,-7,6,-7,-7,7,-8,2,-8,-7,-4,-6}

Returns: 455.59596354166666
{0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,1,0,3,0,3,2,1,0,0,0,1,2,5,2,4,0,4,1,0,0,7,11,5,3,3,1,3,6,2,0,0,4,6,3,5,7,1,2,0,5,7,6,1,1,15,4,7,12,2,2,10,11,9,0,1,9,11,7,13,6,4,1,7,8,4,13,1,12,5,19,17,31,13,8,9,7,3,26,5,18,2,10,6,0,26,29,0,13,10,1,20,24,56,12,10,5,17,4,4,14,8,11,1,13,6,5,1,8,8,1,8,17,17,52,19,25,0,5,16,4,11,19,1,5,5,0,20,8,2,11,10,4,16,2,10,10,70,2,16,18,20,14,0,5,3,6,2,24,4,41,34,7,5,12,9,1,11,65,9,18,7,17,10,0,7,51,28,11,30,61,14,11,7,38,35,18,57,6,10,8,13,10,5,19,6,38,19,32,12,18,14,13,14,54,17,9,6,0,1,1,22,13,38,3,20,1}

{1,10,-8,2,1,-5,2,-4,-3,-2,-6,4,2,-4,-3,6,7,-9,6,0,-8,2,8,4,7,5,-5,-5,5,-6,7,9,-8,0,-9,2,-2,-9,6,-9,1,-5,-9,6,10,2,2,10,10,0,-2,5,-4,1,6,9,5,8,-1,2,-5,-8,-2,7,-1,3,3,-9,5,-2,-1,9,5,-2,0,6,5,0,3,-1,-1,-4,-6,2,-3,-4,-9,-9,0,-3,-4,1,-2,-8,-6,7,-9,-5,-1,4,2,-4,4,9,3,-5,-1,0,1,-3,3,8,9,7,2,4,0,10,8,8,-1,1,6,-6,8,0,-5,-2,5,-1,-4,-2,1,6,-4,-5,-4,4,-9,-8,1,10,2,-5,10,-2,-3,2,3,5,8,4,9,8,-1,7,-8,-2,3,-1,-4,9,3,8,-1,5,4,10,-6,-7,-5,-1,10,-5,7,-6,3,-6,-8,-7,7,3,-1,-1,6,9,0,-6,9,8,-7,2,5,7,-1,-6,7,0,-7,9,-5,-5,-4,0,-2,0,-4,1,3,1,-2,-2,-7,-7,0,8,-6,-9,6,-8,-4,-9,1}

Returns: 864.8884226884223
{0,0,0,2,1,1,1,0,6,1,7,0,4,0,6,2,8,1,2,6,4,0,0,4,7,0,1,12,0,5,7,3,3,3,6,5,2,5,14,6,12,11,11,14,14,9,12,15,0,13,15,15,2,4,10,1,3,0,5,13,10,8,6,38,18,25,6,19,7,8,5,0,2,18,15,17,47,2,8,1,19,8,3,22,13,31,60,48,8,55,20,22,1,30,25,2,5,23,41,28,28,0,5,16,22,15,29,8,31,57,30,12,5,15,27,15,13,19,1,29,15,15,26,10,48,27,43,16,44,6,2,48,41,5,63,27,29,84,1,18,22,7,12,27,28,78,13,19,30,36,43,7,10,14,24,18,29,39,8,44,13,8,45,45,24,23,43,13,6,33,38,27,75,28,5,51,2,62,4,10,32,4,46,29,100,33,10,7,74,59,14,53,9,18,26,75,10,32,11,46,12,90,7,6,7,48,7,15,3,2,62,84,69,37,68,169,26,13,17,54,16,2,135,27,104,27,3,103,29,52,62,27,37,64,105,2,52,3,41,148,31,16}

{-6,-1,7,0,-4,2,2,6,3,-8,2,-5,10,-6,-1,-7,-5,3,8,-5,2,-2,-8,-7,-2,10,8,-8,7,4,6,8,3,-9,2,-6,-7,3,-6,-4,-2,-8,5,10,0,-2,10,10,-6,7,9,8,8,-7,-3,-7,1,0,5,2,-2,-5,6,-4,-7,-4,2,-3,9,2,8,-1,5,10,3,-4,-7,-7,8,-6,10,1,-8,9,-2,4,9,2,4,1,0,-8,7,4,-1,5,6,-4,1,2,-1,0,-6,6,6,-4,-3,6,9,0,2,-5,1,-7,9,10,9,-9,4,-1,7,-5,7,2,8,-8,10,-7,5,1,9,10,-5,1,-4,-1,10,-9,3,10,10,2,4,-5,9,5,-8,0,-6,5,1,9,-5,0,1,5,-7,8,4,6,-5,-7,6,-5,9,5,-1,10,-8,6,-4,-3,-7,-4,1,-3,9,6,-1,9,0,-4,3,7,-1,1,-2,8,-3,-7,6,6,-1,-4,2,6,-8,-9,-1,2,6,-5,-4,9,-6,5,-5,8,-1,3,9,10,1,5,1,-6,10,-7,8,-9,-8,-9,-4,-2,-7,2,3,-6,-8,-3,6,-4,7,4,-3,-9,10,7,8,-2,7,9,-3}

Returns: 984.5082985532982
{0,1,0,0,0,0,0,0,2,1,1,2,0,0,1,3,0,3,4,1,4,2,6,3,2,6,14,8,6,4,4,6,2,11,24,8,9,9,3,0,8,8,0,8,8,6,24,2,34,2,5,0,6,20,3,46,1,6,24,2,16,19,21,3,16,10,4,30,27,15,10,8,52,1,11,16,35,9,14,14,3,6,0,39,7,6,8,17,16,44,3,6,6,14,6,1,18,58,14,18,27,6,0,37,37,16,4,32,3,13,32,4,3,70,4,13,1,46,0,0,1,20,14,40,16,13,9,60,31,12,7,35,28,11,58,20,16,54,8,5,16,2,78,1,8,9,21,11,71,72,3,86,38,22,64,15,44,75,8,17,12,13,7,8,53,5,56,49,36,74,2,55,32,32,5,44,37,41,15,74,30,22,5,12,9,29,30,28,24,55}

{9,8,0,10,6,1,1,4,2,-4,-1,6,-4,-5,9,8,-3,7,-6,6,10,-7,-5,7,3,-1,0,4,-9,-7,9,2,7,-1,6,-4,-8,2,7,-7,10,-5,-9,0,-9,3,9,10,-7,4,10,7,2,-9,-3,9,0,7,8,8,-6,1,4,-8,8,9,-2,8,10,4,-6,5,-9,-4,-9,7,0,-7,-2,-2,-2,-1,-4,-1,10,-5,-4,7,4,-6,3,2,-7,1,-7,0,-8,5,8,10,-2,-6,-4,-5,-9,3,-3,-1,-5,5,-5,9,8,-5,4,5,-3,-7,8,-2,-1,9,-7,10,3,8,0,6,0,5,9,0,-9,-6,2,-1,0,-6,0,-2,9,9,-8,3,-3,3,-1,6,9,9,10,10,4,2,5,6,5,-4,5,-5,-1,4,-2,7,5,4,9,0,9,-3,0,-3,-3,7,-1,10,3,-5,-1,-3,-3,3,0,-5,2,-4,7,8,0,3,-7}

Returns: 738.898620823621
{0,1,2,3,4,5,6,7,7,9,10,11,12,13,14,15,16,17,18,19,19,21,22,21,24,25,26,25,27,29,30,28,32,32,34,35,36,37,35,39,34,41,40,43,42,45,41,45,45,49,46,49,49,46,52,54,56,57,53,54,59,61,62,56,64,65,64,66,66,68,65,66,70,73,73,75,76,76,78,76,76,81,81,79,83,85,83,80,84,87,89,81,90,93,92,94,91,91,97,92,97,97,98,96,103,96,103,107,104,109,107,109,112,110,114,103,116,106,114,114,114,121,118,122,120,123,126,117,124,113,130,129,123,128,134,130,132,134,138,134,136,137,141,139,138,135,124,147,147,146,146,146,138,135,153,141,153,141,149,152,159,149,162,158,160,162,157,167,161,169,167,157,157,171,171,174,172,168,169,156,170,175,180,169,182,182,182,176,186,186,188,185,186,191,186,194,191,194,198,194,199,191,199,197,183,201,205,202,208,209,205,210,212,210,214,215,199,217,215,214}

{9,3,-6,3,-1,1,-4,-7,-5,-2,-2,-3,10,-6,1,-7,4,-9,3,2,4,-1,3,-6,-8,-1,-6,-6,1,-9,-6,9,0,-1,0,7,-3,-7,-4,10,1,-6,2,-7,-2,2,1,-6,2,10,10,-4,1,-8,-5,0,-8,1,-4,-1,-4,2,9,7,7,-3,3,3,4,-6,-2,-9,5,-4,1,0,5,2,5,4,-2,8,10,5,9,-7,-6,7,-9,-6,-9,-7,0,8,9,-6,0,9,7,3,7,-7,8,-4,0,-5,-4,6,7,-3,-6,8,3,-1,-6,-1,-3,-5,-1,8,5,-9,-4,2,-2,-7,6,-2,4,1,4,-6,0,-8,-4,-6,-9,-7,6,-7,6,5,-1,10,7,-4,0,-7,-7,7,4,-9,-3,-2,-1,-2,2,9,8,-6,-6,4,-8,-8,-1,7,3,10,9,1,3,-8,-2,-5,-9,1,-3,6,-2,-2,-2,0,-9,-5,3,2,0,0,9,-1,-6,-7,-4,3,2,8,-9,6,5,-5,-9,0,-3,0,2,10,-5,-1,4,7,-3,-8,5,8,-7,-5,-4,5,-6,8,3}

Returns: 467.902622374651
{0,1,2,3,4,5,6,6,8,8,10,11,12,12,14,15,16,17,16,17,17,21,22,19,20,25,26,27,22,29,27,29,31,33,21,33,36,30,29,39,40,40,41,41,40,40,46,38,40,47,46,49,50,47,42,46,53,57,58,47,57,59,62,55,62,63,64,63,62,49,69,71,53,67,69,72,70,76,64,75,67,64,78,78,77,54,86,83,79,87,74,83,88,86,80,92,92,95,87,86,96,90,102,100,91,105,104,94,107,108,108,77,109,112,90,108,108,110,117,102,107,110,122,99,106,120,110,126,116,120,119,125,115,130,134,129,112,133,134,139,135,140,135,130,143,144,137,132,139,143,140,151,151,148,149,136,155,134,152,155,143,151,161,158,122,152,153,163,162,154,164,119,163,171,148,170,173,135,171,136,178,179,177,172,172,173,158,187,173,168,186,175,192,178,187,186,184,195,195,197,177,195,201,198,199,202,195,198,189,179,208,190,191,203,211,212,199,200,198,197,207,197,197,218,158,217,226,224,205,200,208,229}

{-8,-5,-2,-5,-6,1,-7,10,-7,9,0,4,1,4,10,-4,-2,-1,3,7,7,-5,6,-2,4,6,7,-9,-9,6,4,-2,-2,-5,1,6,2,-8,7,0,5,-4,-5,-1,-6,9,-8,-8,6,-1,-6,7,2,-7,-9,-9,7,3,6,5,-1,7,-8,-8,-9,1,9,-3,10,3,10,6,-8,10,-4,-4,3,2,-5,0,-8,1,-9,-9,-5,1,-6,1,-2,0,2,1,8,-8,1,-9,9,0,7,8,6,-2,-1,-9,7,5,-3,-3,-3,-9,3,2,0,1,-4,10,4,3,4,-7,0,0,-2,-1,-9,-5,-6,-2,-8,-7,2,-4,-9,-5,-5,0,-3,-3,9,-4,4,6,0,8,-6,4,-5,-9,-5,2,3,10,-3,3,5,-8,3,-9,10,-1,10,-5,-2,4,4,-6,-1,3,-3,9,-3,1,6,9,-1,-8,10,3,1,-9,7,-2,-7,6,10,-8,4,-4,-5,-5,6,-1,6,2,-3,4,1,2,6,-6,0,6,-7,1,8,9,1,-8,-1,8,9,1,-4,8,3,3,-8,-2,-4,-9,6,-6,10,3,-5,1,1,6,1,-9,8,1,6}

Returns: 536.0492672506693
{0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,0,0,0,1,0,1,0,0,1,6,1,0,0,3,5,2,1,0,0,4,0,2,0,0,1,0,1,1,2,3,6,10,1,8,1,1,2,3,3,1,0,1,2,0,0,0,2,1,2,0,0,7,3,12,0,1,1,0,0,1,2,19,1,2,6,2,8,3,2,1,7,1,2,3,3,3,1,4,5,1,7,6,6,1,4,14,6,4,6,1,13,5,6,1,5,5,12,2,19,16,1,7,0,3,12,11,6,0,1,13,7,6,8,1,16,1,0,4,7,9,7,12,11,5,11,2,8,7,1,0,0,13,3,0,3,14,6,9,1,1,0,2,7,10,2,7,23,2,16,12,2,5,1,5,6,14,2,4,6,1,3,3,22,19,2,2,3,5,1,1,11,18,5,3,3,2,30,2,2,6,3,10,10,14,4,7,7,0,1,2,14,3,1,10,6,20,8,3,14,6,10,20,53,17,16,1,12,20,0,0,26,3,19,27,13,7,3,5,6,14,32,1,2,24,3,29,5,2}

{2,-5,4,1,-8,-5,8,7,-5,-1,8,-2,3,4,-3,-2,-2,-2,-8,4,4,5,1,-8,9,7,-7,5,6,0,-8,-6,6,2,-4,7,-7,5,-5,-8,-8,-3,-9,4,4,-4,0,10,3,10,7,1,-2,10,-1,4,-6,-2,-9,-6,-9,-5,10,-3,-3,7,0,-2,10,-8,2,5,8,-8,5,8,-4,-6,3,-1,3,0,-6,-8,5,10,0,-8,-6,2,0,1,-7,-6,8,-4,0,-7,-9,-8,-8,-1,1,4,0,7,-8,7,-1,5,9,4,-9,2,7,5,2,-4,-2,8,-6,1,-8,-7,-3,-2,10,-5,0,-5,-1,-5,10,5,-3,-8,-9,-2,1,-3,5,6,4,-5,6,3,-4,7,-7,2,10,-5,-2,10,10,-3,-3,-8,5,3,0,9,-9,9,-2,10,-8,8,-9,9,5,-8,10,0,-9,5,8,8,6,2,2,2,-4,0,10,-8,-9,10,-9,10,-4,-5,-4,9,0,2,5,-2,7,-1,0,-3,6,9,4,10,0,7,-3,6,0,-5,-8,-6,-5,8,2,-8,-2,8,-7,2,-4,-9,0,9,5,2,-1,-1,2,-2,2,-5,9,2,-4,-3,-4,4,8,7,7,-1,10,3,-6,7}

Returns: 1160.55675298353
{0,1,2,3,4,5,6,7,8,9,10,11,12,12,13,15,16,17,18,19,20,21,22,23,23,25,26,27,27,26,30,30,31,33,33,35,36,37,35,39,39,39,42,43,39,45,44,46,48,49,47,50,49,51,54,53,52,57,58,59,60,59,57,63,59,65,66,67,65,69,70,70,60,73,74,75,73,77,75,77,80,81,80,82,81,80,82,86,84,81,81,88,89,93,87,93,92,90,93,95,100,98,75,103,103,97,103,107,106,109,110,100,110,112,113,109,116,112,106,118,115,117,117,120,118,118,117,127,112,125,129,126,129,130,117,118,133,137,133,138,130,140,141,142,123,133,144,145,148,145,146,143,151,148,154,153,156,148,154,139,150,149,161,163,162,165,160,162,163,161,154,165,172,170,162,168,165,176,162,175,179,178,176,178,184,177,184,184,185,185,188,184,173,183,194,193,196,192,195,199,194,199,194,196,192,186,200,202,202,191,191,211,200,207,207,209,212,206,197,212,188}

{7,-6,0,10,10,4,9,-7,-9,-6,-8,6,2,0,-5,6,8,-4,3,-1,0,9,-7,-8,9,3,10,0,4,-6,0,2,-2,5,7,9,7,-7,2,-7,-9,10,7,-7,6,-4,0,4,-7,5,-9,6,-4,4,-1,-4,0,4,7,-3,-5,-7,9,10,10,5,6,10,-9,4,-6,3,-8,-2,6,-4,9,-3,-6,3,7,0,-8,9,-6,3,-1,8,4,4,8,7,-7,7,1,6,8,10,-7,1,2,8,-4,7,5,-1,-1,2,9,-3,-2,2,10,1,-3,3,-7,4,-6,10,-2,8,2,-8,-1,-3,1,3,-2,-9,0,6,-2,5,8,6,0,2,-2,9,-3,-3,-5,-6,2,4,-3,-4,9,3,-1,-8,5,-8,-7,-3,-5,1,-4,10,3,3,-6,6,1,4,7,1,7,-1,-7,-5,3,-9,6,-4,1,5,3,7,8,4,10,6,0,-6,0,-8,-2,-5,-6,1,2,7,-9,-7,-9,-8,8,10,2,4,3,-5,9,5,-8,-8,2,10,1,6,4,7,-8,0,10,3,4,4,10,3}

Returns: 528.9546006520588
{0,1,1,2,4,5,6,6,7,9,10,10,9,10,14,15,10,14,16,18,20,20,22,23,21,23,26,16,28,25,30,26,29,30,33,34,28,35,32,21,31,40,37,28,44,45,40,31,48,48,34,47,45,37,42,29,41,51,52,51,51,49,62,62,55,45,57,63,63,65,63,62,68,71,50,74,53,64,78,76,67,79,77,78,77,75,72,85,88,71,89,91,92,92,89,66,69,86,93,82,85,79,74,97,96,98,105,106,98,105,75,72,108,111,105,88,113,109,114,105,104,80,118,102,124,95,106,127,80,123,119,90,97,124,119,129,113,122,128,130,128,134,94,97,135,137,121,119,109,149,126,138,89,149,144,114,135,139,135,141,136,159,123,124,149,124,157,165,165,142,169,160,135,173,146,167,155,175,134,179,174,156,174,154,181,181,141,173,179,175,140,176,186,166,157,195,130,159,177,187,174,97,192,187,194,198,198,176,207,202,188,168,173,177,198,182,204,163,138,212,220,190,189,222,207,225,224,198,177,176,215,213,229,218,212,213,232,155,219,235,237,233}

{-3,2,5,-9,1,-3,5,6,-8,-8,7,8,7,0,2,8,9,-1,0,0,-4,9,-5,-1,9,-8,-2,9,-4,-2,-1,4,8,7,-9,3,-5,-2,-8,6,-8,-2,2,-6,-2,-3,-6,-5,5,2,-7,-7,-6,9,6,1,-1,-8,-9,9,-6,-9,-8,-5,-4,-1,-5,10,-8,-6,-2,6,10,2,-8,-7,9,-3,0,-2,-1,0,6,10,10,-7,-1,2,-1,4,7,8,0,6,7,10,-7,-5,6,-9,6,4,0,-5,-9,-6,8,-7,9,5,4,6,-7,-8,-4,-6,-2,3,-3,0,8,4,0,7,5,-5,-8,10,4,-6,2,4,6,9,9,8,9,4,-5,-8,-1,-6,8,1,1,-8,0,2,-6,-1,-5,7,5,0,-3,-3,8,7,-1,1,-5,0,5,-1,-8,1,3,0,-8,-4,-5,1,-8,3,-8,4,-6,3,10,-5,10,-4,8,9,-8,-5,-8,2,6,5,-6,-6,5,-1,3,-7,1,-7,-4,-8,10,-9,-6,-2,-7,-8,-9,3,-2,6,0,2,-8,-6,-4,-5,8,0,6,2,8,10,8,9,2,-4,-7,9,-5,-4,1,-7,-9,5,-3,3,5,8,0,8,9,8,10}

Returns: 635.468737849483
{0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,4,0,2,0,1,1,5,0,0,2,1,2,5,1,1,0,3,2,2,0,0,2,1,9,1,2,0,5,3,0,5,3,9,0,3,7,0,2,1,2,0,0,2,7,2,1,5,4,2,2,6,0,2,1,5,3,5,2,6,4,0,8,2,1,1,3,9,1,3,0,8,16,2,2,4,2,10,5,0,5,10,0,12,0,2,4,1,19,5,10,2,8,0,9,4,0,9,22,3,15,2,2,0,15,2,13,18,8,4,19,2,6,5,2,23,8,5,1,4,4,7,3,26,3,12,0,1,4,5,0,26,1,2,3,1,3,11,15,16,12,11,9}

{2,9,-1,2,1,-2,-3,-5,6,9,10,-8,-8,10,7,10,1,-5,4,-3,-3,-8,2,-1,4,-3,9,1,6,-5,-3,-4,-9,0,-1,7,9,-2,-2,8,-3,-9,-6,-9,-9,4,-3,7,-3,-7,-2,0,6,-4,7,9,-3,6,5,4,7,8,-9,-5,-2,-4,6,5,10,-5,-1,4,9,4,1,1,-6,-4,8,10,1,-5,8,9,-7,2,5,7,6,2,5,3,5,-7,-9,-9,9,-6,0,-2,-9,-6,-4,7,8,1,0,-2,5,10,-6,-7,1,4,2,0,-4,4,4,-5,-3,0,6,-2,-9,9,4,3,-4,4,-9,-9,3,-8,8,-5,-1,-7,8,0,0,-1,0,9,1,2,-2,-1,-2,7,5,3,-4,-6,8,-5,-6,7,-6,9,8,-7,6,-1,3,-9,6,9,-9,1}

Returns: 763.7824786324782
{0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,1,0,3,6,1,3,1,2,1,2,1,0,2,3,0,4,0,0,3,8,0,4,4,3,3,1,5,0,1,5,0,1,0,7,6,1,1,1,0,3,0,1,3,0,4,0,0,1,0,0,6,1,4,0,0,6,0,8,2,5,3,6,1,3,2,0,1,2,2,3,10,7,13,2,5,4,1,0,2,1,2,3,3,1,0,2,7,1,27,7,0,21,9,0,1,18,4,6,8,5,9,0,9,2,20,0,3,19,0,0,25,1,0,0,7,0,16,2,1,14,0,25,9,2,6,15,20,8,23,5,7,11,3,0,12,4,1,1,0,5,5,1,2,1,6,3,0,10,7,7,11,18,9,10,3,0,30,2,16,0,26,8,5,14,9,0,0,7,6,5,13,12,25,0,1,8,3,2,4,1,1,8,18,9,7,32,0,0,7,9,7,6,5,12,13,3,3,4,3,8,16,3,42}

{3,7,-2,0,-5,3,-7,5,6,5,-1,-8,0,3,10,-5,10,-6,-1,-9,4,-4,-1,10,1,-1,-9,-1,9,-4,-7,7,8,-6,-8,7,-2,-1,4,4,4,-6,-9,4,6,-8,9,-1,9,-7,10,4,7,-2,4,-4,9,9,3,-3,1,2,-5,-5,-9,-5,2,3,-3,9,-4,-1,-3,-5,4,9,-2,2,-4,4,2,-9,10,-5,-2,2,3,-1,10,-1,-8,-5,-5,7,1,8,3,7,4,-8,3,9,4,9,8,-8,6,-8,10,-8,-7,2,-9,4,4,1,-1,-9,-5,3,-7,-9,-1,-9,-8,3,-4,2,-1,-5,3,-7,10,5,-7,-4,-3,1,-9,3,3,3,8,3,-5,10,3,-8,10,6,-9,3,10,-1,7,5,1,8,-9,-1,1,4,3,-4,3,3,-2,1,-7,-4,6,-2,-9,-4,-7,-1,7,10,7,0,5,-3,7,2,-5,-2,2,-1,-2,3,-5,0,10,-6,1,-5,3,9,10,-3,-6,3,8,-7,-2,-2,4,3,0,-3,-6,-3,-5,-9,2,-9,0,1,-1,-2,-1,5,4,-1,1,1,-3,7,0,-8}

Returns: 1006.5125439174349
{0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,2,3,0,1,0,0,1,1,0,0,2,1,4,2,0,3,0,2,0,0,1,0,0,0,0,1,2,1,3,1,7,0,1,0,0,3,5,3,5,2,3,1,0,6,3,4,2,2,2,21,3,1,7,4,0,1,0,1,2,3,1,0,1,1,7,7,5,7,6,2,3,4,2,5,14,0,7,3,0,4,11,5,4,1,5,2,7,3,3,1,13,6,1,2,2,20,6,2,2,2,9,0,27,5,8,4,1,9,5,3,4,0,0,1,10,8,0,5,14,7,8,2,14,0,6,5,17,0,3,14,3,1,11,3,10,1,0,9,7,6,3,17,0,5,7,9,23,8,0,0,1,13,8,18,0,24,0,13,5,1,21,0,10,10,5,19,8,15,2,2,3,5,24}

{1,-4,-3,4,-3,8,-8,-7,5,-4,-6,0,3,-4,-5,5,-1,-2,-2,10,-4,1,9,9,3,-8,7,3,-5,-7,-1,1,-8,-6,10,-9,5,7,-9,5,10,8,-4,-2,0,-7,3,-4,10,4,-8,0,-4,8,6,-1,5,-2,-9,10,-7,-7,-5,4,-6,-5,5,10,9,-4,-2,9,5,-4,4,10,-6,-3,-7,0,-7,-2,1,8,2,-5,5,9,-3,-1,-5,-2,8,9,-7,-9,-7,4,-1,-5,-1,5,6,-7,-9,4,7,-6,-3,3,1,6,-2,-2,0,-9,9,2,-5,9,-2,-1,0,6,9,9,7,8,-4,-3,-4,7,9,9,10,2,-2,9,5,7,4,-1,9,-5,-6,1,0,4,-6,3,-9,5,5,1,-4,-2,-3,7,4,0,-9,-8,1,-3,1,6,-5,0,0,-7,10,10,-1,7,1,-3,4,6,1,2,-2,1,6,2,4,10,-6,-7,10,-8,2,10,1,7,-9,-2,-4,5,4,1,3,-8,8,-6,-5,4,-6,1}

Returns: 946.8709779499251

Statistics

Problem Statement for "BalancingTrees"

Problem Statement

Definition

Notes

Constraints

Examples