Problem Statement
The Ewoks are currently hiding in a forest.
The Empire is going to send a scout on a flying bike into the forest for reconnaisance.
The Ewoks are preparing a series of traps for the scout.
Each trap has two parameters: p[i] and x[i].
The value (p[i]/100,000) is the probability that a scout who enters the trap survives it.
If the scout does survive, he immediately gains information that is worth x[i] credits.
Ewoks know that the scout will use the following strategy, for some value of K:
- The scout will attempt to fly through the first K traps, one after another.
- If any of the K traps kills the scout, his mission fails and the Empire gets no information. (That is, the value of the information retrieved by the scout in this case is 0 credits.)
- If the scout survives the first K traps, he will turn back, safely leave the forest and bring the collected information to the Empire's headquarters.
The traps can be placed into the forest in any order.
For each K between 1 and N, inclusive, solve the following problem:
We know that the scout will follow the above strategy, and we know the value K the scout will use.
There are N! possible orders of traps in the forest.
For each of these orders we can calculate the expected value of information that will be obtained by the scout.
Compute the minimum of all those expected values. (In other words, find the order of traps that minimizes the expected value of the scout's information, and compute that expected value.)
Return a
For each i between 0 and N-1, inclusive, element i (0-based index) of the return value should be the solution to the above problem for K = i+1.
Definition
- Class:
- ReturnOfTheJedi
- Method:
- minimalExpectation
- Parameters:
- int[], int[]
- Returns:
- double[]
- Method signature:
- double[] minimalExpectation(int[] x, int[] p)
- (be sure your method is public)
Notes
- Each element of your return value must have a relative or absolute error less than 1e-9.
Constraints
- x will contain between 1 and 400 elements, inclusive.
- x and prob will contain the same number of elements.
- Each element in x will be between 1 and 1,000,000,000, inclusive.
- Each element in p will be between 1 and 100,000, inclusive.
Examples
{100,200,300}
{50000, 20000, 20000}
Returns: {40.0, 20.000000000000004, 12.000000000000002 }
For k = 1: If we use the 0-th trap first, then the expectation will be 100 * 0.5 = 50 If we use the 1-th trap first, then the expectation will be 200 * 0.2 = 40 If we use the 2-th trap first, then the expectation will be 300 * 0.2 = 60 For k = 2: One possible order is {1,2,0}. Expectation is (200 + 300) * 0.2 * 0.2 = 20.
{200,100,500,300,400}
{100000, 100000, 100000, 100000, 100000}
Returns: {100.0, 300.0, 600.0, 1000.0, 1500.0 }
{2,2,100,100}
{100000,100000,10000,10000}
Returns: {2.0, 2.0000000000000004, 2.0200000000000005, 2.0400000000000005 }
{1,1,200,200}
{100000,100000,10000,10000}
Returns: {1.0, 2.0, 4.010000000000001, 4.0200000000000005 }
{1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000}
{90000,90000,90000,90000,90000,90000,90000,90000,90000,90000}
Returns: {9.0E8, 1.62E9, 2.1870000000000005E9, 2.6244000000000005E9, 2.952450000000001E9, 3.188646000000001E9, 3.348078300000001E9, 3.4437376800000014E9, 3.4867844010000014E9, 3.4867844010000014E9 }
{991797604,988831041,986619056,985962999,985767982,983052205,980892653,975094249,971322836,971269626,970316401,969843201,966779357,964356029,963998514,962014196,958507783,952596594,940747054,937551627,935081757,931793440,931776543,927688998,925375492,923419514,923373373,922169214,922025599,921400931,920597125,920497872,920364005,917147399,915927059,915310568,914979559,911756060,909116718,908954744,907905253,904459916,903648149,899066785,896991870,896729853,896666849,892266679,891130082,886661788,886476031,884418199,884029545,881817872,879141638,878129471,877024925,874206872,873023211,870120953,868574074,868283399,867444142,867307167,864279372,850187616,848645541,845741294,845183994,844465597,842635360,842514750,837441748,835227025,830679766,826802783,825237308,822767691,819862360,818580509,817683491,813739930,811595998,810925285,810249340,808818014,803264567,801929605,801231605,798047035,796351896,795729308,795188143,790248356,787890039,787688898,779968238,774884605,770767136,770249410,767662656,765463925,764091388,763919031,761974908,761417095,760771775,756460485,755593816,754330764,753838115,753813691,751202412,751168112,750158850,749920439,745804783,744690791,744360052,740414217,738921410,735795257,734585336,728609515,727792000,727168999,726990557,726519827,723180292,721399052,720822237,719565402,709629857,708025709,705955801,701967296,701832149,697793992,696455228,694030568,693733339,692816351,691620392,689401406,688554326,684571881,679657664,673029413,672305337,669724611,667712098,664630986,657810873,641709625,641672502,637732277,632942164,631466021,628979730,627923477,627281006,625118160,623288399,619543895,619144168,619062225,616437992,615153676,610569377,610025785,607897215,607394277,605531828,597199129,592850470,588549755,588240567,586205454,581793668,577124234,576726756,567252095,561005695,555608014,552332700,551969118,550277651,542592522,541205537,538006414,537144468,536533060,529804946,529076156,522969638,521992031,515238183,511608123,496202016,493910790,491623966,486626100,481934869,481145891,478423003,477300276,475935914,475633283,475328939,474882237,474489609,458345224,457097259,456398625,446684478,443417961,443092628,436912428,429368612,427735940,427204468,423771950,415615166,414725176,414650740,413519423,413195854,412722007,405093828,405084648,402461339,387082188,386693769,386257681,381788435,380442961,372134465,370780557,368229922,366459340,366012914,354949006,351976175,351495824,350840041,341145853,340270745,330840090,328692387,322395624,321834780,321372914,317821577,317188673,312755175,311767033,310367620,309087005,308663127,308212089,300814979,291362612,290101475,284914150,284004555,283354970,282540543,280623978,280613830,278731744,271662080,270260563,265043942,263789006,253250872,249354337,247448658,243155573,242722447,238503188,237236322,233743353,233383514,230824730,222681869,221942865,221568852,214904208,212423591,212350263,206129672,201369320,200592718,198446896,196645684,195508008,194590252,194234560,189387150,188923512,186382036,176264529,170598028,169895153,168617143,166858735,166805854,166437881,165476443,163184656,162618423,161009191,159790080,158746132,156491370,153208966,151474259,150724873,149635638,142777340,140583677,140266206,137737245,136663665,136455027,135530771,132239588,132129925,125755540,124382347,122377708,113743723,103777989,103159270,97190720,96270589,96055743,95919678,93772795,93772039,93407622,92818104,88795819,87970247,86548325,80484440,78853712,77982031,76104634,74380775,68170001,68040269,67974538,63866324,62996793,59664238,58687726,58356902,57472421,57450668,56184021,55093069,53971328,52288453,49419070,49346337,45930199,44865551,42300982,41978071,40839997,39493530,38631463,36130965,36058560,35724870,35363447,32351405,29724406,27300384,25463838,24990981,24810032,23991025,22690424,22653064,18805738,16328075,12762212,12565383,11794406,11645696,6959080,5543299,5178078,3726662,2469254,1577213,1537157,884920}
{98501,98502,98503,98506,98506,98507,98508,98509,98509,98510,98512,98520,98521,98525,98525,98525,98527,98529,98534,98534,98535,98538,98541,98541,98544,98544,98548,98550,98557,98557,98566,98571,98573,98577,98585,98585,98589,98590,98590,98591,98597,98611,98618,98622,98623,98624,98625,98630,98630,98631,98631,98631,98632,98635,98637,98639,98640,98640,98642,98643,98654,98655,98656,98656,98660,98663,98664,98666,98667,98667,98671,98675,98675,98677,98677,98678,98684,98691,98693,98699,98700,98700,98702,98702,98704,98705,98709,98712,98713,98717,98720,98725,98731,98732,98735,98737,98737,98744,98744,98745,98746,98749,98749,98754,98757,98760,98764,98769,98769,98770,98779,98784,98786,98786,98787,98798,98798,98799,98800,98803,98803,98804,98808,98812,98817,98817,98818,98818,98821,98824,98825,98827,98836,98836,98837,98838,98843,98846,98848,98853,98853,98854,98855,98855,98857,98858,98859,98860,98866,98868,98871,98873,98878,98888,98893,98894,98894,98904,98905,98912,98923,98924,98927,98929,98930,98934,98936,98937,98939,98940,98942,98942,98943,98944,98948,98952,98957,98960,98962,98965,98974,98976,98979,98983,98986,98993,98995,98997,98997,98999,99002,99003,99004,99006,99008,99008,99015,99016,99023,99027,99028,99029,99030,99034,99034,99037,99039,99041,99049,99050,99051,99051,99052,99054,99057,99063,99065,99065,99066,99067,99069,99069,99070,99071,99073,99076,99076,99080,99082,99083,99087,99088,99088,99089,99090,99097,99100,99102,99103,99107,99108,99109,99119,99125,99126,99131,99134,99135,99138,99140,99142,99142,99146,99147,99147,99150,99152,99152,99155,99159,99160,99161,99173,99177,99177,99178,99181,99184,99186,99186,99187,99188,99189,99190,99190,99190,99190,99202,99206,99206,99210,99212,99215,99217,99217,99217,99222,99226,99231,99236,99241,99243,99243,99247,99251,99251,99254,99256,99265,99268,99269,99272,99273,99274,99279,99280,99282,99286,99292,99292,99295,99297,99301,99301,99306,99306,99307,99311,99319,99323,99323,99326,99330,99331,99332,99337,99337,99340,99346,99346,99348,99352,99352,99353,99359,99360,99361,99362,99363,99365,99368,99371,99374,99374,99381,99386,99388,99388,99390,99390,99392,99393,99394,99395,99396,99398,99400,99401,99401,99402,99414,99417,99419,99419,99432,99433,99434,99436,99441,99450,99451,99452,99456,99457,99460,99463,99464,99465,99470,99473,99478,99478,99480,99481,99482,99483,99485,99485,99486,99487,99488,99491,99492,99492,99493,99493,99493,99495,99495,99497}
Returns: {880468.8524, 2397723.9882289153, 3939085.3971038717, 6338865.864832128, 9940164.163497869, 1.4912715343951495E7, 2.018686958245483E7, 2.6766501194198586E7, 3.7755659981620654E7, 4.8772127924360126E7, 6.040319956376057E7, 7.209808624426809E7, 8.70074298257294E7, 1.0406807743212685E8, 1.2451172431597659E8, 1.4477417159537783E8, 1.6601388266460654E8, 1.8777417508944973E8, 2.0946360445281178E8, 2.3134817469560537E8, 2.5463436847190762E8, 2.798246474527782E8, 3.070584417414673E8, 3.366500842791735E8, 3.662295440441071E8, 3.9576127524905676E8, 4.2501349312858254E8, 4.560931443427373E8, 4.875435499398469E8, 5.1978145553049695E8, 5.526127469006268E8, 5.852872302313474E8, 6.197040917931904E8, 6.545909347025911E8, 6.918955321224151E8, 7.288088333917007E8, 7.675380969652073E8, 8.07167452043416E8, 8.472043788888074E8, 8.876010845244468E8, 9.283998306244706E8, 9.68686490821536E8, 1.0091585609735558E9, 1.049361219991722E9, 1.0897882573472185E9, 1.1322629272732675E9, 1.174845959126261E9, 1.2200205821268756E9, 1.2646420822172933E9, 1.3087623555727546E9, 1.3569635695319915E9, 1.405822230012532E9, 1.4554059073068469E9, 1.5049764617612963E9, 1.555056409044987E9, 1.6088255981949728E9, 1.6627874962605617E9, 1.71660791366365E9, 1.7725270881454666E9, 1.8280407671147501E9, 1.8829463783805168E9, 1.9371167727399035E9, 1.9919680117395809E9, 2.0461146382588487E9, 2.0996154261302993E9, 2.152958360640963E9, 2.209473766784936E9, 2.265564710452441E9, 2.327553393103249E9, 2.3943292385942054E9, 2.4614195039157424E9, 2.5284374034402995E9, 2.598495477856986E9, 2.6675224756384406E9, 2.7376458911784687E9, 2.8071757579833093E9, 2.8757589688271713E9, 2.9439509623075E9, 3.012573835225592E9, 3.080243775647223E9, 3.148224251324744E9, 3.219251674302925E9, 3.2895692153921747E9, 3.3590863762828317E9, 3.4284973901678433E9, 3.4987559394297E9, 3.5690401849860706E9, 3.6387895860269217E9, 3.707957574544402E9, 3.7768374793115783E9, 3.8447742450131865E9, 3.9128799461151624E9, 3.9801379584288354E9, 4.0462305081795793E9, 4.111218001966084E9, 4.175951305003553E9, 4.2400340299003863E9, 4.303310529428766E9, 4.368501792989881E9, 4.437881523269528E9, 4.507339476290155E9, 4.575652834591791E9, 4.644874673041193E9, 4.712905941632091E9, 4.779999878606964E9, 4.846415727275539E9, 4.912299797331391E9, 4.9778149068300495E9, 5.042451220305941E9, 5.108121229558078E9, 5.1751320187314205E9, 5.241037767367864E9, 5.306358118175878E9, 5.37330710935894E9, 5.438975027134501E9, 5.503554235158837E9, 5.570676769833709E9, 5.637509321113626E9, 5.702946005846872E9, 5.768513833660952E9, 5.833040641049098E9, 5.898076325323218E9, 5.961745794061618E9, 6.025194991316076E9, 6.08807873042652E9, 6.1512795925267935E9, 6.2177011208427E9, 6.283128237297564E9, 6.349282893162099E9, 6.41448695750652E9, 6.481161266359587E9, 6.546993609075798E9, 6.611449072003219E9, 6.674886783075795E9, 6.73697429571266E9, 6.797787449263533E9, 6.857512585605097E9, 6.917274518239186E9, 6.9758915709412775E9, 7.036385515142103E9, 7.098045594821829E9, 7.158205528919768E9, 7.216958998272052E9, 7.274529303217994E9, 7.33098734468359E9, 7.386108261904285E9, 7.441409002115911E9, 7.495387337701335E9, 7.548898482130914E9, 7.601107468114943E9, 7.651912562463358E9, 7.703375736491805E9, 7.7539091032577505E9, 7.806224104919729E9, 7.85711829819372E9, 7.909317463172397E9, 7.960160687674602E9, 8.009529928526094E9, 8.057528176132744E9, 8.107516745840124E9, 8.156037424618392E9, 8.203292911980629E9, 8.249787751688525E9, 8.295053446033975E9, 8.341066899420773E9, 8.385724063683E9, 8.430031157855811E9, 8.472884550232606E9, 8.514374306565775E9, 8.558991698877761E9, 8.602443543493078E9, 8.644460830272793E9, 8.686769078899954E9, 8.727565003412985E9, 8.766945720837059E9, 8.80491225418178E9, 8.841428543694685E9, 8.87658344542845E9, 8.912443869126015E9, 8.947784693012314E9, 8.981725703488897E9, 9.014574599059114E9, 9.047966899306492E9, 9.0814991646699E9, 9.11370665520608E9, 9.144719927338408E9, 9.176575305293272E9, 9.207011292722065E9, 9.236265802432606E9, 9.26744658499657E9, 9.297287297054468E9, 9.325733807551834E9, 9.352771622133827E9, 9.378884533523474E9, 9.403801257766815E9, 9.427394951559294E9, 9.449694592166548E9, 9.47072654755742E9, 9.49119765595925E9, 9.511425741413002E9, 9.530785770207363E9, 9.548996925975925E9, 9.568688744763174E9, 9.587770093819687E9, 9.606338939299328E9, 9.62380667238387E9, 9.64105220614542E9, 9.657040564868E9, 9.672943204014034E9, 9.687646053131777E9, 9.70112162864096E9, 9.713697270056822E9, 9.725323469874136E9, 9.736595268042002E9, 9.746988122452213E9, 9.756306167952368E9, 9.764581605721601E9, 9.772045197671553E9, 9.779223039204716E9, 9.785988784202995E9, 9.792134673057535E9, 9.797346443574015E9, 9.80140867109862E9, 9.804670340398855E9, 9.80679478582075E9, 9.807871511398954E9, 9.80812799913045E9, 9.808474850437477E9, 9.807810765831762E9, 9.806243974139244E9, 9.80360955417602E9, 9.800016043404346E9, 9.795478680616848E9, 9.789883280667576E9, 9.783253525014437E9, 9.775693790926239E9, 9.732347399090076E9, 9.666372233628729E9, 9.60094729588457E9, 9.536012129378616E9, 9.47160768800377E9, 9.407636294647469E9, 9.34409858180677E9, 9.281064741806953E9, 9.218436942715025E9, 9.156330566166708E9, 9.094618323767893E9, 9.033300735574492E9, 8.972362384809555E9, 8.911809850422995E9, 8.851636903443989E9, 8.791876934390999E9, 8.732604762896734E9, 8.673710823502697E9, 8.615232702213148E9, 8.557123190398233E9, 8.499378988234459E9, 8.442036844619915E9, 8.385116552736615E9, 8.328726677518013E9, 8.272743547237671E9, 8.217139552500484E9, 8.161980691513242E9, 8.107310755273932E9, 8.053029283241004E9, 7.999367629704063E9, 7.946093611278119E9, 7.893194560746085E9, 7.840639244796594E9, 7.788488312694677E9, 7.736691860754652E9, 7.685277192377587E9, 7.634232899365372E9, 7.583513600351911E9, 7.533132282198333E9, 7.483121869802471E9, 7.433499332734053E9, 7.384260756392917E9, 7.335345662177933E9, 7.286762984261616E9, 7.238500621200738E9, 7.190569568564915E9, 7.142982113133623E9, 7.095706166898193E9, 7.048931129076254E9, 7.002497261425021E9, 6.956360442293489E9, 6.910547252353145E9, 6.865280474870331E9, 6.820642197630672E9, 6.776333970355043E9, 6.732333854036451E9, 6.688647974558859E9, 6.645364976984931E9, 6.602516564305881E9, 6.559977212629233E9, 6.51782998132016E9, 6.476064686401029E9, 6.434849443097625E9, 6.393931605978792E9, 6.353353200626186E9, 6.313029669626082E9, 6.273104790363342E9, 6.233447715545423E9, 6.194053239021987E9, 6.154907339417276E9, 6.1161255329987E9, 6.077816344350619E9, 6.040003379098853E9, 6.002493949472803E9, 5.965303021193674E9, 5.928407179177689E9, 5.891902272254459E9, 5.85565026588606E9, 5.819708477166084E9, 5.783988968614012E9, 5.748578822914251E9, 5.7134961375197935E9, 5.679007761797372E9, 5.644765242287165E9, 5.610749967170484E9, 5.577031624426765E9, 5.543662774446465E9, 5.510515242860262E9, 5.477612282885109E9, 5.445057184533325E9, 5.412705984650811E9, 5.380582200678256E9, 5.348689036331157E9, 5.317048608565276E9, 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{997326067,996817645,996202391,994874689,994412064,993834972,993121194,992232379,986451937,983467616,981564104,979669772,978187562,978052512,969758138,968283059,967271207,965687906,965678975,962460471,959219311,958290606,953235625,951642176,950076980,949266894,948457346,948011013,944718946,944137227,943234584,942826204,941897415,940157909,940037638,934480798,933541747,931671407,926385521,926063753,924050333,922976095,920362071,920139250,916866325,910903161,909533038,906092018,903272303,902609821,899262499,896961430,891533680,891334183,888081914,886116878,885664925,885314579,882628486,882021944,881968022,881418176,881271208,880970067,878756138,870925097,856586585,855459565,852787163,851368995,842646234,841096005,838637924,835491689,833677193,833467925,831897633,828517551,824195613,820585397,816680289,814905582,810990421,805818940,805525451,804596577,798862790,797899768,796495085,792515422,790338996,783598899,780804512,777378422,774041896,773566743,770070111,761786120,756658758,749720194,746433411,745701071,742016723,739586478,734386131,726636088,725923357,719824524,719109792,718853556,712813550,712567399,712221258,711448078,708159373,707961252,706395264,696674910,690502172,688118910,687575876,683128418,682378690,679836889,679416671,678685155,666439294,664519932,663040848,657652565,655947319,646496441,641151705,635117021,631715979,631089353,624529316,624495285,624400878,623903865,622885984,620265733,617289270,611045394,610053712,609576363,608105029,603819022,603224824,601185394,588747094,584317237,583495839,581008770,579385863,575415865,567689479,564732522,561022180,560424523,547894161,546010584,545335213,542988300,542636144,534404999,534088896,529894114,528410299,528382134,526673561,523599080,523300920,523001609,520455563,516808204,516071570,515484836,514101483,511686765,506476166,503705173,498893369,497531708,493845951,493404710,490405611,487465075,487139123,482060711,481620667,481104413,479812240,478316950,472368985,472185163,465509992,464495642,462725521,459631273,454216429,453699592,453037182,444521879,442244996,441237958,439459861,438494086,436035109,433687485,431827575,429090548,426939276,426308627,425501451,425458296,424237661,419092038,417677194,409835237,403598481,399994543,399974595,398289452,395006322,394081237,393629674,392458281,384896282,383880131,380413636,379040133,375000561,370212780,368306662,364915739,361395773,357980756,357231629,356947532,349367106,348067761,347598946,345194435,342054595,334845277,333556576,330556592,327045694,326807972,324694138,322871167,322498093,313554219,312494141,308663084,305185021,304389539,300684879,290686319,290427290,288363558,286997667,285586705,277913934,276586915,272677135,271511757,270031654,268614532,266843057,265703979,265407232,257030335,255397340,251200415,249764009,249392094,246207757,242769434,230790284,227769360,227036802,222777916,219829346,219168402,217250271,211027725,200420172,194374426,190115013,187198857,186649832,186591837,186314960,179833042,171953820,164263818,162693417,158377515,157872673,157658791,157342813,154989600,151882462,147475796,147057012,141745290,135826376,133093890,132797570,132713944,126820403,120627708,118679231,114667883,112328200,111427392,110126166,102712836,100658492,100614812,96672567,92363229,89705071,82507121,80971134,79835920,79584220,71456404,67447969,67366360,67358276,67112052,66485967,65210125,64452019,64120861,63922591,63837541,62470675,62216422,61439044,61319027,60570467,57296713,57161394,56907897,55792852,55207207,54703442,54430315,54240787,53519237,52221384,50824705,49916375,49902709,47022633,46543445,43828535,43729316,42541112,42057990,41536366,41441188,39962106,39341110,35920460,29127398,29002345,28381128,27481868,26154958,25953766,24872508,24664662,24491945,23857942,23578369,23320501,22681117,22051136,19550395,18879398,18296345,17228686,16858464,16822839,12826526,11659904,11539385,10615829,8268364,7786179,6696302,2751360,1443609,244802,135208}
{98506,98508,98509,98510,98510,98513,98515,98516,98518,98526,98528,98529,98532,98534,98538,98543,98545,98546,98548,98551,98552,98553,98558,98559,98560,98567,98569,98572,98573,98579,98580,98581,98584,98585,98588,98591,98592,98593,98594,98596,98597,98598,98604,98604,98608,98619,98620,98626,98628,98628,98629,98634,98634,98636,98637,98640,98640,98642,98649,98652,98653,98653,98655,98657,98661,98662,98663,98669,98675,98676,98676,98677,98680,98680,98681,98683,98683,98684,98708,98708,98709,98709,98712,98713,98716,98718,98719,98726,98729,98730,98731,98734,98736,98738,98738,98741,98742,98746,98754,98754,98755,98755,98760,98767,98768,98769,98772,98772,98778,98786,98790,98791,98793,98799,98802,98807,98811,98812,98813,98814,98816,98817,98819,98819,98824,98827,98830,98839,98839,98853,98854,98863,98870,98871,98872,98877,98884,98889,98889,98891,98895,98896,98897,98897,98902,98905,98906,98906,98911,98911,98912,98913,98919,98921,98921,98925,98925,98929,98931,98932,98934,98934,98936,98938,98944,98953,98953,98957,98958,98960,98960,98962,98963,98963,98976,98986,98986,98990,98992,98994,98994,98994,98995,98997,99003,99006,99009,99010,99010,99010,99016,99016,99017,99018,99019,99019,99019,99020,99021,99025,99027,99030,99032,99032,99037,99038,99039,99042,99043,99044,99044,99045,99046,99051,99057,99062,99063,99066,99072,99072,99072,99073,99074,99074,99076,99078,99088,99088,99094,99097,99103,99103,99106,99106,99109,99109,99112,99118,99124,99129,99130,99130,99130,99134,99135,99135,99143,99146,99147,99149,99152,99155,99159,99161,99161,99164,99166,99167,99168,99168,99169,99171,99172,99173,99175,99175,99178,99180,99184,99184,99185,99187,99188,99193,99198,99199,99202,99204,99205,99206,99211,99212,99212,99213,99213,99221,99221,99222,99224,99229,99229,99234,99234,99238,99239,99239,99240,99242,99245,99245,99249,99249,99250,99250,99251,99252,99254,99256,99262,99268,99269,99270,99270,99272,99274,99275,99280,99281,99282,99289,99289,99291,99292,99300,99308,99311,99315,99316,99316,99317,99320,99325,99328,99331,99332,99335,99338,99344,99344,99345,99346,99346,99349,99351,99357,99358,99359,99361,99368,99369,99375,99376,99377,99377,99381,99387,99387,99391,99395,99399,99400,99401,99403,99407,99410,99411,99415,99417,99426,99429,99431,99433,99433,99437,99438,99439,99439,99440,99441,99442,99442,99451,99451,99455,99456,99459,99459,99461,99462,99466,99480,99480,99481,99488,99489,99490,99490,99492,99496,99497}
Returns: {134527.90376000002, 376192.933009512, 1796130.4565509849, 4483036.8067393815, 1.098843662177106E7, 1.8484287423849642E7, 2.6368271594367348E7, 3.642208357134732E7, 4.725231787414747E7, 5.808342501082875E7, 6.989329220500563E7, 8.532797078489994E7, 1.0062683899748123E8, 1.1610017889951137E8, 1.3239039836583938E8, 1.4903268671559605E8, 1.6610204629963896E8, 1.8524828630628562E8, 2.0474919117452478E8, 2.2458529427950445E8, 2.4442432922834146E8, 2.642810088677157E8, 2.8446602182696056E8, 3.0456553768744403E8, 3.246123827457573E8, 3.4536169162090796E8, 3.66037850430378E8, 3.875957954829865E8, 4.096664509439531E8, 4.3199385756461227E8, 4.541504974603363E8, 4.817353245215082E8, 5.1180078366038716E8, 5.420042896100559E8, 5.730353653917E8, 6.037541565870806E8, 6.344970761504394E8, 6.652193190330921E8, 6.964962505273204E8, 7.274468249175944E8, 7.601562757965515E8, 7.92793855986745E8, 8.272197598127176E8, 8.612177814788734E8, 8.954518162187259E8, 9.302567985528684E8, 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2.879072709032731E9, 2.9394066180370955E9, 2.998850933912198E9, 3.0596256841376567E9, 3.1209803979118614E9, 3.1825130463976216E9, 3.243083772118457E9, 3.3026789658924494E9, 3.3613270935734224E9, 3.421161883815586E9, 3.480612656858507E9, 3.5428610989172206E9, 3.607959516500453E9, 3.6751398607711654E9, 3.741098981861205E9, 3.8059415381517105E9, 3.8697240563994484E9, 3.9335445591395407E9, 3.9982330477782493E9, 4.0644179620641055E9, 4.134356717247801E9, 4.2058902087674437E9, 4.2769354015051246E9, 4.346641642421365E9, 4.416329700855947E9, 4.486576999425335E9, 4.555779248603095E9, 4.624941475533468E9, 4.69790448264556E9, 4.770910298338759E9, 4.843825498048144E9, 4.915342552449411E9, 4.985887495379454E9, 5.056757686172519E9, 5.12661513691659E9, 5.198331325090444E9, 5.2686174032229395E9, 5.337787978071295E9, 5.406164802348484E9, 5.473656001017517E9, 5.540069078273231E9, 5.605385685629124E9, 5.670659061618968E9, 5.735004540517642E9, 5.800828146621214E9, 5.86566655322534E9, 5.92950647380782E9, 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{98500,98504,98508,98512,98514,98521,98524,98524,98529,98531,98531,98534,98535,98535,98538,98544,98548,98553,98554,98554,98554,98556,98558,98561,98561,98561,98566,98572,98572,98573,98578,98583,98583,98584,98586,98587,98599,98601,98603,98610,98614,98615,98618,98619,98623,98623,98623,98628,98628,98632,98633,98635,98635,98637,98639,98639,98643,98649,98652,98652,98652,98664,98673,98673,98675,98680,98681,98686,98686,98692,98693,98695,98696,98697,98701,98701,98702,98703,98709,98710,98710,98713,98714,98719,98719,98720,98723,98724,98736,98739,98744,98744,98745,98750,98754,98754,98756,98757,98757,98758,98760,98760,98761,98769,98771,98776,98780,98782,98783,98784,98784,98787,98792,98792,98793,98793,98793,98794,98795,98795,98802,98805,98809,98810,98812,98814,98815,98817,98819,98819,98823,98824,98827,98829,98829,98831,98832,98841,98843,98843,98848,98853,98853,98856,98856,98861,98865,98868,98874,98877,98880,98882,98885,98885,98886,98887,98887,98889,98889,98890,98893,98894,98896,98897,98906,98910,98910,98913,98914,98917,98920,98926,98928,98929,98930,98937,98945,98951,98954,98955,98958,98963,98963,98964,98964,98966,98966,98967,98968,98968,98969,98969,98970,98971,98974,98975,98979,98983,98983,98983,98986,98987,98992,98994,99000,99013,99014,99015,99015,99016,99021,99024,99024,99030,99032,99032,99034,99035,99035,99047,99051,99053,99054,99059,99065,99069,99069,99071,99076,99082,99083,99087,99087,99091,99094,99097,99097,99101,99102,99108,99110,99110,99112,99118,99119,99119,99119,99120,99120,99120,99122,99128,99131,99137,99140,99149,99151,99151,99153,99155,99156,99156,99157,99160,99160,99162,99164,99167,99167,99168,99172,99177,99180,99181,99183,99185,99185,99187,99192,99206,99209,99210,99212,99213,99215,99216,99217,99219,99223,99223,99223,99230,99232,99234,99234,99244,99246,99247,99247,99247,99248,99249,99256,99257,99260,99263,99267,99268,99270,99274,99276,99278,99280,99280,99281,99282,99283,99284,99286,99288,99289,99290,99292,99292,99293,99297,99308,99312,99315,99317,99319,99331,99333,99333,99336,99340,99342,99342,99343,99345,99345,99348,99351,99360,99361,99368,99370,99371,99374,99375,99377,99381,99383,99387,99393,99396,99398,99399,99404,99404,99407,99410,99418,99419,99421,99422,99425,99428,99430,99434,99434,99435,99444,99445,99447,99447,99447,99451,99451,99453,99453,99460,99460,99461,99463,99465,99467,99467,99469,99470,99474,99475,99479,99483,99485,99486,99492,99495,99496,99498}
Returns: {394847.86319999996, 2890896.6713961596, 5550242.891329442, 9492219.099509344, 1.3631909198906723E7, 1.826173490403621E7, 2.384685573919586E7, 3.1547352432758637E7, 4.082179302680848E7, 5.0620972192801364E7, 6.072994656372335E7, 7.406460308190177E7, 8.833060312710045E7, 1.034020507494928E8, 1.2025236715927449E8, 1.384563570828315E8, 1.575718923738536E8, 1.7665934493267912E8, 1.9774518735623515E8, 2.2076156199676678E8, 2.4452217734972903E8, 2.686529255410778E8, 2.9431742269138396E8, 3.203971658772949E8, 3.476058933035553E8, 3.750061540521658E8, 4.024304985322604E8, 4.2975869252357405E8, 4.5980780754421616E8, 4.900495078082803E8, 5.205528894618021E8, 5.509109883155755E8, 5.83503947864224E8, 6.159375814932256E8, 6.483405470710907E8, 6.828248671637949E8, 7.194872664309669E8, 7.57598642891928E8, 7.96773569650684E8, 8.361288208480356E8, 8.751845182119634E8, 9.140549770990796E8, 9.524559685088733E8, 9.904146335238342E8, 1.0306783142610222E9, 1.0708313971917591E9, 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{998973694,996520093,996348639,993189486,993177283,991119338,990000643,987468805,985952753,983693695,981772990,980715173,972813527,972685298,970412972,969489894,957878728,957194096,953007198,950169991,945903824,945656381,943291003,942924240,942840491,942512160,937569164,937483349,933542992,931731716,930433139,928699398,921399808,919393569,918124069,916126433,913805722,912681938,909094746,907781648,907472837,905986075,901553277,897006637,891072817,887252403,884047389,881854116,872787860,872771853,872627594,872538376,871213796,867129849,861906927,860193975,854377670,851929870,848363139,846170738,844604944,840728315,839611851,839248921,838450590,837928329,833816526,833701030,833585075,831209768,828195328,823372321,821085569,819676770,818588306,811902733,811156164,809397783,809163418,805796383,804180286,803112901,800867017,799980962,799598031,799021913,798001697,796755404,795090859,794827541,780230333,779903069,779002311,777884660,777130173,776543645,774643477,769433072,767134550,765578324,764121961,763199600,760480979,757710506,756856833,754972126,754693156,751890062,750160012,750147619,748793195,748720633,748454485,747881435,745455253,741920622,740361860,738916963,733317259,731387030,730943839,729075319,727327352,727227856,723150288,714790107,711514994,711153129,706879811,704683571,704327682,703418998,702347709,701847571,701522566,700034054,698971937,686281547,685820257,685534732,673381302,665722751,665155253,660525418,659113523,658768240,655716561,653990630,652852285,650054183,646541241,643106324,640437627,638667584,630084799,627119701,626709857,622927463,622770524,620302668,615562513,612701710,611856570,606445328,603504020,598802867,596921250,596022868,594312686,592059529,591639532,588117203,586763769,585413020,580437873,573807461,566831109,563606828,554585475,553813794,547946456,542979057,542171909,540448409,532610500,529887050,524167070,519223982,518223952,517890926,515867523,512315870,507717554,503428029,503206734,501722315,497486977,495310400,491077634,488019649,482095332,478662867,473911777,463546184,459025010,455621950,454009362,452896354,452055035,448582521,448160619,447827933,446813525,446222612,443085254,441563958,438522759,438243382,437280007,436005807,435373720,423699795,421834868,415643603,414935917,413401648,412495132,411380899,403466196,400522833,400484226,395695416,389792777,388908847,388541685,385341740,383638455,383519122,381064129,379768066,377170150,375160613,373684389,372763696,371989066,365546118,361732299,359058110,354025708,353792264,353367329,352925309,351566518,351375554,350248900,347079217,342557574,342515092,334230690,333970346,333422489,330001801,329686959,329024892,326799575,324146096,320782798,318711062,312469797,308916310,305820973,300391028,296082029,279260133,271441347,271259800,270593573,267588149,264562493,260371706,254930103,249251504,248506178,247119117,246298449,238976029,237346300,237198309,236947025,236056948,234727463,227656806,226741785,220394189,216593795,213065510,211618168,208770758,207985479,202962851,201706029,201488644,195102416,194766873,194538189,193695968,193060403,191253160,187872185,186492828,185015568,184880506,183677899,180327672,180264939,179915452,177748635,175563011,171630637,170400031,168215943,167934391,166775108,165764204,162272547,156064253,152620597,150657303,149814143,143857419,138478193,136765873,131129701,120178850,119857910,119563087,117980916,110650013,104590472,101049734,100481099,98978467,97937697,97625143,94708337,93682908,90763858,89585183,88912438,85500315,84448893,84042017,80365530,77818234,76017761,74332701,71200701,69603424,66750026,63265083,60461804,60252302,57845042,54417091,52828054,52646442,51126568,50229875,44370561,44045042,43504935,42284882,42252788,40206461,38701486,36632531,33984241,33060712,32539177,32116769,29041763,28546398,26430867,26197061,25445728,20357423,15925636,15497643,14911822,14251992,11014560,10568579,10264521,10123211,8429913,7163625,3291776,1710681,326812,172985}
{98502,98503,98505,98511,98511,98513,98517,98522,98524,98526,98529,98530,98536,98537,98554,98561,98568,98569,98577,98577,98579,98579,98582,98587,98589,98589,98602,98602,98607,98611,98612,98613,98613,98614,98614,98618,98620,98621,98621,98626,98629,98635,98637,98638,98643,98664,98670,98673,98675,98675,98675,98676,98682,98684,98685,98688,98690,98691,98691,98695,98695,98697,98701,98702,98703,98707,98711,98713,98714,98715,98718,98719,98722,98726,98727,98730,98730,98734,98740,98741,98745,98750,98751,98753,98760,98761,98762,98764,98767,98768,98774,98778,98779,98785,98786,98793,98794,98795,98803,98804,98813,98817,98818,98819,98830,98832,98832,98835,98837,98839,98840,98841,98844,98845,98846,98847,98849,98850,98850,98851,98855,98857,98859,98861,98861,98865,98866,98866,98866,98868,98873,98879,98883,98886,98888,98890,98890,98893,98895,98899,98900,98903,98906,98909,98914,98920,98922,98922,98923,98923,98924,98926,98928,98928,98931,98933,98937,98942,98943,98944,98946,98950,98950,98952,98952,98955,98957,98957,98960,98964,98964,98966,98967,98967,98968,98972,98976,98978,98979,98984,98984,98984,98985,98987,98987,98988,98993,98993,98997,98997,98998,98999,98999,99000,99002,99003,99008,99008,99010,99011,99016,99017,99022,99028,99029,99036,99047,99051,99054,99058,99064,99070,99073,99074,99076,99077,99079,99080,99083,99083,99085,99085,99091,99096,99098,99098,99099,99102,99110,99111,99112,99113,99115,99115,99118,99119,99121,99122,99126,99130,99131,99133,99135,99137,99140,99148,99149,99151,99154,99154,99154,99155,99155,99157,99160,99161,99163,99166,99170,99171,99173,99178,99179,99180,99181,99193,99193,99196,99196,99196,99200,99201,99201,99201,99204,99212,99213,99213,99214,99218,99219,99219,99219,99222,99226,99226,99228,99232,99234,99235,99235,99238,99240,99241,99249,99249,99250,99255,99261,99263,99263,99269,99270,99271,99271,99272,99273,99274,99277,99277,99281,99283,99287,99288,99288,99289,99290,99290,99291,99292,99296,99296,99301,99302,99302,99303,99304,99313,99313,99318,99318,99319,99320,99321,99322,99324,99327,99337,99339,99347,99350,99351,99352,99362,99365,99365,99366,99370,99370,99375,99380,99380,99381,99384,99385,99387,99387,99389,99391,99394,99395,99397,99397,99398,99400,99402,99407,99410,99412,99414,99416,99432,99433,99435,99435,99435,99437,99438,99444,99454,99460,99461,99466,99467,99473,99473,99475,99475,99476,99477,99480,99480,99481,99483,99484,99484,99485,99487,99497,99499}
Returns: {172118.34515, 494791.6331543391, 2177114.3187950733, 5391297.236980812, 1.2346424789076814E7, 2.0457612774451047E7, 3.01180619309697E7, 3.981289670226156E7, 4.969608671324865E7, 5.9898995591528386E7, 7.305108286551832E7, 8.668324000554176E7, 1.0071721534389275E8, 1.1499948338265553E8, 1.3322630978856145E8, 1.559402707472437E8, 1.7908808325631723E8, 2.0219554631889856E8, 2.269554904240422E8, 2.5188626840824452E8, 2.792788627821804E8, 3.067102752479208E8, 3.342698206132838E8, 3.6231967682137364E8, 3.9235456776260465E8, 4.238402078860298E8, 4.5626070905171764E8, 4.900533962360517E8, 5.234704177423107E8, 5.574408643460863E8, 5.914417905290853E8, 6.25286319012478E8, 6.635986064120384E8, 7.021612296694893E8, 7.414617366845845E8, 7.804005584772105E8, 8.201261629057173E8, 8.621180909281055E8, 9.055153237894032E8, 9.485067055745023E8, 9.931684331186321E8, 1.0399826157428586E9, 1.0884138470224667E9, 1.1374410852033474E9, 1.1882614465240633E9, 1.2396931464230978E9, 1.291816978350097E9, 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{98514,98517,98520,98522,98522,98522,98526,98527,98527,98533,98533,98538,98543,98543,98544,98545,98547,98554,98557,98558,98558,98559,98559,98562,98563,98564,98564,98570,98573,98574,98577,98578,98581,98585,98587,98587,98589,98590,98596,98597,98602,98603,98605,98606,98609,98614,98614,98616,98617,98619,98625,98625,98627,98628,98636,98636,98637,98652,98655,98657,98658,98662,98662,98664,98664,98671,98673,98677,98678,98689,98692,98694,98695,98698,98700,98701,98702,98706,98707,98707,98710,98716,98716,98725,98726,98732,98736,98736,98737,98738,98739,98739,98742,98742,98743,98746,98750,98751,98752,98752,98755,98759,98764,98769,98770,98771,98772,98775,98788,98788,98790,98795,98796,98797,98797,98798,98800,98807,98809,98812,98824,98833,98836,98843,98843,98846,98850,98850,98850,98852,98856,98856,98866,98867,98868,98868,98868,98872,98873,98873,98877,98878,98880,98888,98889,98895,98895,98895,98895,98897,98902,98903,98903,98911,98912,98915,98916,98917,98921,98921,98926,98928,98928,98931,98931,98932,98933,98933,98938,98939,98941,98946,98946,98946,98948,98953,98954,98955,98956,98962,98962,98964,98966,98968,98969,98973,98974,98976,98976,98977,98978,98980,98982,98994,99001,99002,99004,99008,99009,99010,99012,99014,99015,99015,99015,99020,99023,99024,99025,99026,99026,99026,99029,99029,99032,99043,99044,99044,99047,99048,99048,99054,99054,99056,99058,99062,99066,99067,99067,99072,99072,99073,99077,99078,99080,99084,99085,99088,99090,99091,99092,99093,99095,99098,99103,99103,99104,99108,99114,99120,99126,99127,99142,99142,99147,99148,99151,99153,99158,99160,99161,99168,99171,99171,99172,99176,99177,99178,99185,99185,99189,99193,99194,99195,99198,99199,99200,99202,99203,99207,99209,99210,99211,99211,99213,99218,99222,99223,99224,99225,99229,99230,99247,99263,99267,99268,99272,99273,99277,99279,99281,99282,99282,99288,99290,99290,99298,99299,99303,99303,99304,99304,99305,99309,99313,99313,99320,99321,99323,99323,99325,99328,99333,99336,99338,99342,99342,99345,99346,99348,99350,99350,99352,99354,99358,99367,99370,99373,99373,99376,99380,99380,99382,99382,99383,99384,99390,99394,99394,99399,99404,99412,99412,99413,99418,99420,99423,99424,99426,99427,99430,99430,99431,99433,99435,99439,99440,99447,99454,99454,99454,99456,99456,99458,99462,99465,99465,99469,99469,99471,99472,99473,99477,99482,99482,99485,99487,99488,99489,99493,99494,99494,99494,99495,99495,99497,99497,99497,99498,99499}
Returns: {772063.48549, 1830251.5539419497, 3059760.463841199, 5308945.504146102, 9494652.990224646, 1.4822071337888287E7, 2.016601519641562E7, 2.5556291802926484E7, 3.1099105236348283E7, 3.878643877455082E7, 4.656476448513152E7, 5.469254442614336E7, 6.42926243905205E7, 7.443537079273611E7, 8.60921961311728E7, 9.770998259381214E7, 1.1013121063866787E8, 1.2301928072243993E8, 1.3900966748098174E8, 1.5702137220585966E8, 1.7962552902303568E8, 2.030012427212435E8, 2.268701608418228E8, 2.5516615564742306E8, 2.8433914008908707E8, 3.138558904487274E8, 3.458507462237109E8, 3.775867651630336E8, 4.09414874931899E8, 4.4097123377227396E8, 4.725010883034843E8, 5.046333501778151E8, 5.382206961609535E8, 5.744641648974843E8, 6.11622022085916E8, 6.50704679441778E8, 6.912678572435215E8, 7.33093143281638E8, 7.750851031255689E8, 8.180578328721281E8, 8.610894692269845E8, 9.037844246291368E8, 9.462757872985429E8, 9.888651046443273E8, 1.0318413816576251E9, 1.0759813037549064E9, 1.1198415805264347E9, 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{98500,98502,98504,98504,98506,98507,98510,98511,98513,98514,98517,98523,98525,98525,98526,98526,98527,98527,98530,98532,98533,98538,98538,98543,98543,98544,98552,98554,98560,98561,98562,98563,98564,98565,98570,98573,98575,98578,98580,98581,98585,98585,98587,98587,98591,98600,98602,98602,98620,98621,98621,98622,98624,98633,98637,98638,98640,98641,98646,98649,98651,98656,98658,98658,98660,98663,98668,98669,98670,98677,98677,98678,98678,98679,98680,98684,98689,98690,98690,98691,98691,98695,98704,98705,98707,98708,98712,98720,98721,98722,98722,98726,98726,98727,98732,98732,98736,98738,98739,98741,98745,98747,98749,98750,98750,98760,98762,98765,98766,98767,98769,98769,98770,98774,98775,98776,98780,98781,98786,98790,98790,98791,98792,98793,98793,98797,98797,98798,98799,98800,98801,98805,98808,98810,98810,98811,98814,98816,98818,98823,98823,98827,98830,98837,98838,98841,98843,98845,98847,98848,98848,98851,98851,98851,98853,98871,98876,98876,98877,98879,98880,98882,98883,98888,98892,98895,98897,98899,98904,98905,98907,98908,98911,98912,98912,98913,98914,98916,98916,98918,98923,98927,98935,98937,98939,98941,98942,98948,98950,98952,98960,98963,98970,98971,98975,98977,98984,98987,98988,98990,98995,98998,99000,99001,99001,99002,99006,99010,99011,99017,99018,99020,99023,99037,99048,99050,99051,99051,99055,99056,99058,99062,99063,99066,99066,99069,99070,99070,99070,99073,99076,99077,99079,99080,99080,99080,99084,99085,99087,99091,99092,99094,99096,99101,99108,99112,99115,99117,99122,99123,99134,99137,99139,99139,99139,99139,99140,99143,99144,99145,99151,99152,99155,99158,99159,99159,99161,99163,99168,99171,99174,99175,99179,99179,99184,99184,99186,99187,99189,99189,99191,99193,99195,99203,99204,99205,99207,99209,99210,99211,99213,99216,99216,99222,99222,99225,99226,99227,99229,99235,99239,99247,99251,99252,99253,99253,99253,99254,99256,99257,99257,99258,99262,99263,99265,99266,99267,99273,99273,99275,99276,99278,99280,99281,99281,99284,99288,99289,99289,99293,99295,99301,99302,99306,99310,99313,99316,99316,99323,99325,99325,99326,99326,99342,99344,99352,99354,99355,99359,99363,99366,99367,99370,99370,99372,99372,99375,99376,99379,99380,99380,99386,99386,99392,99394,99406,99410,99410,99413,99414,99415,99421,99422,99424,99431,99436,99438,99439,99442,99442,99444,99447,99449,99454,99454,99461,99462,99463,99467,99468,99469,99471,99472,99474,99475,99485,99485,99485,99486,99498}
Returns: {1427844.05904, 3841214.8322633146, 6598437.943231343, 1.1851375083467724E7, 1.7616078077269595E7, 2.4247997033231113E7, 3.3485193867889564E7, 4.3514308117465466E7, 5.621340167949087E7, 6.937521248198293E7, 8.36416858260682E7, 9.781438141905025E7, 1.136230470927003E8, 1.294249397689759E8, 1.4604907240769675E8, 1.6311210726243612E8, 1.8015572577912262E8, 1.9718737101984942E8, 2.1723939540539226E8, 2.3777220724795252E8, 2.5860158972296995E8, 2.794912412154935E8, 3.0027881960788095E8, 3.217398575870522E8, 3.4302768707444745E8, 3.664308913360654E8, 3.9061712298957115E8, 4.1507132287089956E8, 4.394498820938861E8, 4.635492382575932E8, 4.8822196494897556E8, 5.152586727733938E8, 5.423456111074919E8, 5.735435712057847E8, 6.044673203195E8, 6.360640929317535E8, 6.690072530113112E8, 7.019095026877761E8, 7.363437897858402E8, 7.729311151089108E8, 8.099667949248736E8, 8.475031785037743E8, 8.846216938795635E8, 9.216482042970344E8, 9.583793042034911E8, 9.959320508615642E8, 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5.057686318305696E9, 5.0252540065171995E9, 4.993041168383602E9, 4.961210646269643E9, 4.929736870319763E9, 4.898505597966572E9, 4.867480563150601E9, 4.836667003503412E9, 4.80618051941676E9, 4.775960340942656E9, 4.74603618024855E9, 4.716359925754222E9, 4.686891360749497E9, 4.657973204082601E9, 4.629349273019327E9, 4.601091997383843E9, 4.573041212928481E9, 4.545172332955342E9, 4.5176504005615425E9, 4.490382600628708E9, 4.463325247902683E9, 4.4364410163013115E9, 4.409798481759414E9, 4.383324220133817E9, 4.3570269765615015E9, 4.330906424646805E9, 4.305028219785442E9, 4.2793358881270247E9, 4.253912436164738E9, 4.228649298474063E9, 4.2035512932129807E9, 4.1787079222380557E9, 4.154062370670965E9, 4.129749354993766E9, 4.1056160657261543E9, 4.0820877617974496E9, 4.0587440171795278E9, 4.0356212493919415E9, 4.012649452619892E9, 3.9898105060754657E9, 3.967104031921105E9, 3.944758918834455E9, 3.922573818017383E9, 3.9005788587741885E9, 3.878955580327409E9, 3.857592677892055E9, 3.8364226544944425E9, 3.815386998385226E9, 3.7945714299912977E9, 3.7738757906944675E9, 3.7533506999525466E9, 3.733034814700488E9, 3.712836891852797E9, 3.692926519418035E9, 3.673126351186366E9, 3.6536733159824877E9, 3.634340055119824E9, 3.6151421369328995E9, 3.59615542722491E9, 3.577303208241467E9, 3.5585619022929206E9, 3.5399623719298124E9, 3.5214762611356964E9, 3.503110869819037E9, 3.4848549099980783E9, 3.4669571401114197E9, 3.449179456157358E9, 3.431509430775329E9, 3.413939909514616E9, 3.3968264765951757E9 }
{999222141,991652084,989957589,985235124,970985209,966772121,966130515,959360818,958271060,958179763,957312440,953933525,949993053,946707844,946646061,946392481,945460018,945133102,944071335,942900963,931714663,931083221,926725565,924638851,924452866,918599100,916804049,916717503,915889882,910514269,910104454,909040103,903639215,899808953,896557213,893802496,891203654,888946388,887973060,887360979,885716173,884229831,883485943,881580925,881279042,875270565,874559277,869375667,866746811,861960584,856595475,855690840,854271484,853528116,853352405,852099439,850834544,850363270,844238878,842741861,840752975,837395584,836742053,836541086,833245408,832861145,830885377,830611538,825702007,816837134,816018741,813912384,811426200,810655737,803483499,801733519,801366345,798316048,797713584,792150038,788925751,788032469,787717680,782259442,777906659,775165144,771964140,770533937,763639251,760278025,760254697,753400041,749812034,747013019,745547791,743655963,742086789,736288111,735425020,733277514,731129741,730148168,729900972,729015466,727744317,721727514,719878888,716688736,716470675,715929941,715663886,713268224,706960058,703790724,702951450,700417900,695806976,695335115,694653113,694552516,693476320,691860442,689038467,688018859,687752950,685789594,680535179,677729448,674753975,674501395,671564949,671128097,670277582,669560904,668604429,665458089,663594256,662623945,660629900,655351707,647724509,647006459,645883196,642195375,639854235,635266338,635054111,626183581,625795216,622699473,613234441,610787808,608372461,608183727,607576015,607126513,603257855,602118517,598215550,597663052,596408260,585100144,578224318,578037360,572644974,569069963,568597039,565811100,563657097,559852953,550528755,550367500,547872873,546723259,546305887,545784229,542052986,538959480,537087672,533999749,530662797,529902637,529882830,529646318,528119277,527729945,522414247,522205024,514660802,510903710,509905183,509404544,506383948,502927370,495827060,490001997,489911496,489790450,486537318,484743041,484237967,474280825,473706645,472971630,468539880,466408723,464252152,462981576,460842059,458828648,458180006,450817986,450169821,449791490,446385373,442679360,435759262,434248616,430586317,430137650,430029445,428591072,428058041,426654708,419909167,417154973,412702241,412410021,406698082,403206577,401596906,399336391,399028368,398575741,398136619,394202124,390679855,389690897,386670543,386382545,377474753,374953768,368986801,368524466,365468205,364862753,357059381,356854914,353498233,351908129,346146273,343249613,340567814,337165383,328035614,325264878,322877135,316408765,313928420,312929551,310786017,308810912,306689257,295504919,293042778,291966883,291779218,289175849,280971236,277835136,277480743,276144584,274029381,265337215,260378586,259787096,255571857,249292852,247949269,245594430,244984435,240302285,239335093,238057204,237536471,236715413,235765196,234738194,233065366,227912714,225972798,222754102,221652288,219614509,219497731,218861631,218607418,216021761,209039433,203580206,192713229,192503979,190180357,187957552,185458748,180864549,178961470,176332895,175425167,167012901,165948168,165463487,164275996,160540821,154544296,149388558,142841505,142666695,139807997,139378976,138283260,136668420,133631311,131841821,131757402,130923018,125984090,122547027,122312877,120058685,118957645,117234263,116605999,115746651,111581323,111240647,109261489,106342374,106271154,103426659,100951416,100595392,88410292,77844354,73621282,68171405,67857923,67304138,66918256,64717065,62435115,60916216,60413840,60252299,60250574,60102551,59121385,58748947,56345561,55759311,55387578,53124179,51304903,50950591,48731220,47996496,47342556,45979295,45831973,44551510,44091810,43289163,43210413,40514372,39976286,39573024,39204996,39072758,38650646,38327519,37296746,35910037,34667576,32005061,30726538,29640102,28396829,24264730,23792657,22707521,21541550,16571038,14570382,13752464,13276320,10325570,4801206,3516277,1631574,6648}
{98501,98503,98505,98505,98515,98520,98522,98523,98525,98526,98529,98532,98544,98547,98552,98553,98563,98565,98570,98572,98575,98577,98588,98588,98595,98596,98600,98606,98609,98612,98620,98621,98622,98623,98623,98626,98627,98629,98631,98635,98636,98638,98639,98640,98646,98648,98650,98655,98656,98659,98660,98665,98668,98668,98669,98676,98678,98681,98694,98694,98695,98696,98696,98703,98704,98707,98715,98717,98717,98719,98720,98721,98725,98725,98727,98728,98729,98729,98736,98741,98748,98749,98751,98754,98754,98755,98756,98758,98763,98763,98766,98766,98767,98767,98769,98777,98779,98780,98780,98788,98790,98793,98793,98796,98802,98803,98804,98814,98821,98822,98824,98831,98833,98834,98836,98837,98838,98840,98842,98845,98846,98847,98847,98851,98859,98861,98861,98862,98862,98862,98863,98866,98867,98878,98879,98882,98884,98890,98901,98902,98904,98905,98905,98906,98909,98912,98912,98914,98914,98915,98918,98920,98922,98922,98925,98926,98936,98938,98939,98943,98944,98945,98947,98951,98955,98958,98962,98964,98966,98968,98971,98974,98976,98978,98978,98981,98982,98982,98986,98988,98991,98992,98994,98996,98998,98999,99003,99004,99005,99008,99008,99011,99013,99017,99018,99018,99018,99018,99019,99019,99020,99024,99030,99038,99039,99040,99040,99059,99060,99061,99067,99068,99070,99070,99071,99074,99075,99076,99078,99079,99080,99080,99083,99088,99091,99092,99092,99094,99094,99098,99100,99100,99103,99104,99104,99104,99106,99107,99110,99111,99114,99116,99117,99119,99124,99127,99128,99128,99129,99129,99130,99132,99135,99135,99143,99144,99149,99151,99157,99168,99169,99180,99181,99183,99187,99190,99193,99194,99196,99203,99207,99208,99212,99226,99228,99230,99231,99232,99232,99234,99239,99242,99242,99244,99248,99251,99254,99255,99257,99262,99263,99263,99266,99266,99267,99270,99272,99274,99276,99277,99278,99279,99280,99282,99283,99283,99287,99289,99289,99295,99295,99296,99305,99306,99307,99309,99313,99315,99315,99316,99316,99320,99321,99322,99324,99324,99325,99325,99328,99330,99335,99340,99342,99346,99349,99350,99350,99352,99354,99358,99360,99361,99367,99372,99375,99377,99379,99381,99381,99382,99385,99393,99399,99400,99401,99402,99402,99405,99405,99405,99406,99409,99414,99416,99418,99420,99423,99424,99424,99424,99426,99430,99436,99439,99439,99441,99444,99446,99446,99449,99449,99451,99451,99452,99455,99456,99461,99462,99462,99463,99473,99475,99477,99478,99481,99485,99492,99493,99497,99499}
Returns: {6614.693520000001, 1621815.5348058667, 5077006.134895597, 9756216.049585175, 1.9772530210833505E7, 3.2546025809971742E7, 4.564441770366966E7, 5.9389580955026716E7, 7.489829719669807E7, 9.496110267811354E7, 1.1590017411263618E8, 1.3762972857998815E8, 1.595632428167085E8, 1.8509533790880042E8, 2.11486204589953E8, 2.3858084456789547E8, 2.6653478555237085E8, 2.9659313023510754E8, 3.2743691101023513E8, 3.591729283599542E8, 3.9147111917801195E8, 4.236770863509274E8, 4.5588753040447015E8, 4.878345771589547E8, 5.1971849060688E8, 5.515703292135684E8, 5.835137827385817E8, 6.173813632981925E8, 6.508764185079844E8, 6.84624414707727E8, 7.183376533098463E8, 7.527158644836996E8, 7.86797297884722E8, 8.215853607890947E8, 8.564600303181698E8, 8.914878637591572E8, 9.278719809622006E8, 9.640688638487684E8, 1.00122699865937E9, 1.039695988417667E9, 1.077958124136885E9, 1.1161926790096672E9, 1.1558271996638591E9, 1.1952061012071066E9, 1.2348363356863227E9, 1.2740400681946607E9, 1.3127407818216803E9, 1.3510297624567752E9, 1.3891089311872702E9, 1.4277080665261493E9, 1.467448004662332E9, 1.5082686014081228E9, 1.5488136013915336E9, 1.5891747678827674E9, 1.6291715870162208E9, 1.6725388357314992E9, 1.7183009976261933E9, 1.7709223875041537E9, 1.8313943615691142E9, 1.8912546058425705E9, 1.9519782100206814E9, 2.0137542175392146E9, 2.0746583853353975E9, 2.136662539003267E9, 2.1991315085822387E9, 2.2609076755446744E9, 2.3245381619300227E9, 2.387721906744762E9, 2.4503442344003053E9, 2.513054070180018E9, 2.575418248096888E9, 2.6382579198138103E9, 2.7002075654438562E9, 2.763422546427669E9, 2.828803794982079E9, 2.893702487731872E9, 2.957597202594333E9, 3.0215834829317174E9, 3.086431089077577E9, 3.1511322738356485E9, 3.2154792470656147E9, 3.279028111199849E9, 3.3432932683797383E9, 3.4065610685482197E9, 3.472587336428178E9, 3.540536912189899E9, 3.6108871223988886E9, 3.6822464033170433E9, 3.75279162115765E9, 3.822403157403319E9, 3.8914586847866507E9, 3.9639125122799296E9, 4.035653717777445E9, 4.107570612394464E9, 4.1791515549702506E9, 4.2520428126447344E9, 4.32500630622263E9, 4.397829379381308E9, 4.4705956362517185E9, 4.54215097877612E9, 4.618206304663109E9, 4.695776167497817E9, 4.77556549691998E9, 4.855204156452426E9, 4.9334628548139925E9, 5.010496867997514E9, 5.086145037160841E9, 5.161448272005133E9, 5.235769588604323E9, 5.310326657796909E9, 5.384410278879236E9, 5.459378185766905E9, 5.533642415824227E9, 5.606939721183513E9, 5.679122161261192E9, 5.7501280142751665E9, 5.8197576283779745E9, 5.88848966598261E9, 5.956297915096751E9, 6.0247117090027485E9, 6.0917537628804865E9, 6.158347926445639E9, 6.224169554160244E9, 6.291380771308364E9, 6.359009502757201E9, 6.425356470491653E9, 6.492350624698942E9, 6.560791212730363E9, 6.628398693014531E9, 6.69491250244877E9, 6.7600665902123995E9, 6.8244851794448805E9, 6.890732294667176E9, 6.956348495042538E9, 7.020584524061446E9, 7.083419339285021E9, 7.145479557224316E9, 7.210409620992346E9, 7.2745521399864025E9, 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{998428424,997250468,996899063,996630497,993277608,991443126,988873753,981100466,980698722,978788691,978388143,977995085,974968258,974045503,973055612,971385340,969687320,962671113,957695536,947681701,944310308,942071033,941033503,939425377,938535475,928775868,925179829,917642693,917146057,915928227,914437130,901261441,900707327,897831684,896709171,896405043,895631695,894086588,891046859,887610417,887009024,878546980,877408780,872290126,870646508,870056085,868206303,865973629,865622910,865394532,863104422,861510869,859586623,858445275,857617315,856364174,855823895,855581277,855246447,852824768,850952871,849915993,848439021,845171825,842095105,841184409,838599955,838460520,836063541,829590051,822793259,821740707,813617095,811730054,808650431,804708396,800946253,800487956,800108834,797985955,797941101,796711083,794311178,793701552,791454982,785995584,783163523,779804616,778847294,776157856,774063641,770324590,767884281,767641050,765302162,765081380,765033534,755178598,754648064,753213794,752494498,747478365,738123975,737780342,737288703,737071842,736512212,734312035,718822829,714978925,714735978,714216259,710681098,706350451,704664212,704549319,696517779,695129971,686709956,681431060,680857119,678524997,677404889,677078374,676902394,673803501,672443300,668636794,666212593,666019299,664392412,662194766,657069752,656577508,654077118,652778201,650674417,649605106,648694124,648657130,646929984,643318641,642524726,639268468,631615198,628181363,626228633,625717884,622705756,620131633,618939826,610554467,609668228,608176996,608170517,595062824,594721091,591919061,584954299,579351671,576127828,575671778,572818409,571995570,569711139,564200886,560207266,558731264,554610325,554586416,550813654,547062853,545163844,544735520,542749912,538930844,534876857,522279577,518189097,514673904,514603752,513955739,509766538,507696206,507511096,498516607,496311804,494844808,494562936,491713027,490927605,488936720,486643227,481805718,479995838,478789906,475269055,474996607,474472067,473998582,472394105,468701335,467150570,461385067,461112770,456120629,451782063,451382449,449727398,445389157,445358274,440697530,440574365,436120939,433808788,432305525,426358979,425008070,424524251,423259096,422838509,421902463,420511739,416237286,413999388,413934465,411361738,410707898,410023456,409280225,408567053,407997642,407415419,404987179,394511450,391277348,388883926,383561492,383351086,379457274,376549894,375910032,374843936,372454366,372262413,370441009,369099752,369084728,366463446,364541684,363924463,356829795,353653177,351691499,345906607,342029406,340912461,339526003,332922709,332383253,324395854,323655346,322203488,321414248,321343295,319918810,318893900,315286539,314196014,312573632,310323089,308418882,297352383,289482336,283678576,276325725,274330027,272565945,271680434,269314187,266411116,266125913,265330639,264063914,263715003,256036500,251372918,247025218,246402070,244020291,233209607,226769449,224286708,216640698,206274016,203952103,202038335,195646017,195134899,190872499,188537891,186951035,185239283,182872531,179557875,175097277,174835746,174747383,171351266,170693311,168386394,167611333,165972000,160886563,159253663,158451232,156323284,154695846,147847583,145577632,144560425,143232364,141790260,132280016,130577319,129276701,126247795,125282829,120555775,118075020,117832399,116575752,114841422,113660195,112807877,106414298,105370936,101120877,97120186,97066569,94521665,89560025,89508533,87410053,86508450,82732612,80045345,80041998,71525198,69513984,68315608,68181855,66322260,66089506,65205007,59728273,58913031,56863694,56708545,54975607,49524513,48435143,48358107,48302397,44281553,43767408,43731145,41135716,40945016,39959532,39189414,36181691,31796193,31792625,30841068,27501467,26399900,24753905,24653777,20212124,18303570,17090001,17029834,15228905,13404719,13106162,12698902,12370192,10226208,9897829,9546116,9214211,9190575,8741613,7761706,5514755,2941611,2507544,1037027,533516}
{98501,98504,98504,98507,98510,98513,98513,98514,98516,98520,98520,98522,98525,98528,98532,98534,98536,98546,98548,98549,98549,98554,98555,98558,98558,98560,98561,98572,98574,98574,98577,98582,98583,98588,98591,98593,98594,98594,98597,98604,98606,98612,98612,98617,98620,98622,98625,98627,98629,98630,98630,98631,98639,98640,98641,98645,98647,98652,98653,98653,98656,98657,98661,98661,98663,98666,98673,98678,98680,98681,98683,98684,98686,98688,98689,98692,98695,98696,98697,98698,98699,98705,98710,98710,98714,98714,98715,98717,98720,98722,98730,98734,98736,98737,98740,98744,98747,98749,98754,98755,98757,98762,98764,98764,98767,98769,98771,98774,98774,98779,98779,98779,98780,98781,98784,98784,98786,98786,98791,98803,98807,98808,98812,98812,98813,98813,98813,98817,98818,98818,98829,98830,98833,98834,98841,98844,98844,98844,98844,98847,98850,98850,98851,98851,98851,98854,98856,98858,98858,98861,98864,98866,98868,98868,98868,98874,98875,98879,98879,98880,98882,98883,98884,98885,98887,98889,98891,98896,98903,98905,98907,98909,98914,98916,98918,98922,98925,98928,98934,98944,98959,98960,98962,98964,98966,98967,98969,98973,98974,98977,98980,98980,98982,98987,98988,98995,98995,98995,98997,98999,99002,99004,99005,99008,99009,99010,99012,99015,99015,99021,99021,99022,99025,99027,99027,99028,99031,99034,99036,99039,99042,99045,99045,99047,99051,99054,99058,99059,99060,99061,99063,99064,99065,99073,99074,99080,99081,99083,99085,99088,99089,99094,99098,99100,99102,99104,99114,99118,99120,99121,99122,99125,99125,99130,99134,99135,99142,99145,99146,99149,99151,99153,99154,99155,99158,99159,99160,99163,99165,99167,99167,99169,99171,99173,99173,99175,99176,99179,99180,99182,99182,99184,99187,99188,99188,99189,99193,99194,99200,99201,99203,99204,99208,99210,99212,99217,99220,99224,99226,99228,99232,99238,99246,99251,99251,99258,99259,99261,99262,99264,99264,99266,99267,99269,99270,99280,99281,99282,99286,99288,99292,99293,99295,99295,99300,99302,99304,99305,99306,99306,99308,99309,99311,99311,99312,99313,99316,99317,99320,99325,99328,99329,99330,99333,99334,99336,99337,99337,99337,99338,99345,99352,99353,99358,99361,99364,99365,99371,99374,99377,99380,99382,99383,99389,99399,99400,99408,99411,99423,99424,99424,99424,99424,99425,99425,99427,99428,99433,99433,99433,99434,99436,99436,99439,99439,99439,99447,99453,99455,99458,99460,99464,99465,99468,99474,99482,99484,99485,99488,99490}
Returns: {530795.0684, 1554533.060558816, 4015727.3833627254, 6876689.301422904, 1.2215489320633853E7, 1.9675642390880637E7, 2.800023915016448E7, 3.666521670545127E7, 4.525877079589758E7, 5.4071904236733526E7, 6.3119176560865104E7, 7.237280869240797E7, 8.352325460740927E7, 9.484896590266253E7, 1.0641424285468768E8, 1.181208033595175E8, 1.313576064318223E8, 1.4607225934551087E8, 1.6067104942752844E8, 1.761859668718353E8, 1.9322107167017967E8, 2.1399788733803675E8, 2.34621210122053E8, 2.5643467291578904E8, 2.789487715087782E8, 3.0408603212143916E8, 3.2974506867049277E8, 3.5509893764751434E8, 3.838867725274028E8, 4.148795390439302E8, 4.461512707569562E8, 4.7786955934609103E8, 5.093042815434618E8, 5.424703191950991E8, 5.752364912590808E8, 6.079907899474199E8, 6.43534160124857E8, 6.786245246221607E8, 7.133120393422319E8, 7.483989264381219E8, 7.873213333636912E8, 8.27070073667397E8, 8.663856181346669E8, 9.067134067931428E8, 9.471147279064623E8, 9.911419563122926E8, 1.0352115664569254E9, 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{98512,98513,98513,98522,98526,98526,98530,98530,98532,98533,98534,98538,98539,98542,98545,98550,98554,98556,98558,98559,98563,98565,98565,98566,98567,98569,98573,98574,98580,98580,98580,98581,98581,98582,98585,98588,98591,98595,98596,98597,98598,98599,98599,98601,98601,98602,98614,98615,98615,98619,98632,98637,98642,98642,98643,98644,98644,98648,98653,98654,98654,98654,98658,98663,98663,98667,98668,98672,98678,98678,98681,98686,98693,98697,98702,98707,98707,98710,98712,98715,98719,98723,98726,98729,98733,98734,98734,98737,98752,98754,98758,98761,98761,98762,98763,98768,98768,98775,98780,98782,98785,98785,98787,98795,98796,98798,98799,98799,98800,98801,98803,98805,98805,98808,98809,98812,98813,98820,98824,98824,98830,98832,98835,98839,98844,98844,98848,98849,98850,98850,98851,98855,98856,98859,98860,98861,98863,98864,98864,98869,98871,98872,98873,98877,98877,98879,98881,98889,98894,98895,98900,98901,98901,98902,98905,98911,98911,98912,98914,98914,98916,98918,98919,98924,98926,98927,98931,98934,98934,98935,98937,98938,98940,98942,98945,98945,98946,98947,98948,98953,98956,98965,98966,98973,98973,98974,98980,98981,98982,98986,98987,98992,98992,98993,98997,98998,98998,98999,99001,99004,99005,99007,99015,99022,99024,99025,99025,99027,99030,99030,99042,99043,99043,99044,99044,99048,99049,99051,99054,99056,99057,99058,99060,99066,99072,99072,99075,99076,99080,99081,99083,99086,99097,99102,99104,99109,99110,99112,99112,99113,99116,99118,99119,99124,99126,99127,99131,99135,99135,99138,99145,99149,99152,99154,99154,99157,99161,99166,99168,99169,99170,99180,99184,99184,99185,99193,99195,99195,99195,99197,99201,99202,99203,99204,99206,99206,99214,99215,99216,99221,99223,99225,99225,99230,99231,99234,99237,99240,99241,99243,99244,99245,99246,99248,99249,99250,99251,99252,99253,99253,99255,99256,99262,99266,99267,99269,99269,99288,99289,99293,99299,99301,99304,99308,99312,99313,99318,99319,99322,99327,99329,99331,99334,99337,99339,99339,99342,99349,99349,99351,99354,99355,99355,99356,99359,99360,99361,99362,99363,99364,99365,99368,99370,99371,99373,99376,99380,99390,99390,99390,99391,99392,99395,99397,99397,99400,99403,99403,99409,99418,99418,99420,99424,99427,99429,99430,99431,99432,99434,99439,99441,99441,99457,99458,99459,99461,99461,99465,99466,99470,99472,99474,99475,99480,99480,99480,99481,99482,99483,99484,99486,99486,99486,99490,99490,99491,99493,99494,99497,99497}
Returns: {1487715.95789, 3501065.7447590986, 5528838.184793624, 8382688.091333783, 1.2632349619247328E7, 1.8177456708403263E7, 2.6197038428536233E7, 3.558152466337111E7, 4.5135352056491435E7, 5.461017325851157E7, 6.4208737250935435E7, 7.390630399291986E7, 8.66622917006973E7, 9.930339063631764E7, 1.1365712283647636E8, 1.2894636882451515E8, 1.4548187093268895E8, 1.6249488014701074E8, 1.8060590916568694E8, 1.9869026527453268E8, 2.1812980164665124E8, 2.375713608595387E8, 2.568401037140741E8, 2.7677071163610286E8, 2.9819724114009494E8, 3.1959826778765625E8, 3.417026468565981E8, 3.6596560657097054E8, 3.903715169809115E8, 4.1508900509092957E8, 4.396711189725465E8, 4.644036458603637E8, 4.890050229317235E8, 5.1391907953704137E8, 5.392693622237173E8, 5.64604951228729E8, 5.898883820596775E8, 6.16856533989094E8, 6.459525541435769E8, 6.746976959124546E8, 7.040171079936241E8, 7.329875861104327E8, 7.632645232816954E8, 7.937580042988625E8, 8.238629265440735E8, 8.537593652354215E8, 8.85141693681724E8, 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{999296224,998332002,993869255,991575952,987004317,984708946,981676312,980621163,977966464,977636858,977498672,975213491,972995560,971159267,969014195,957836908,955963796,954665921,954628896,953079929,938217989,934742453,923004403,919398123,916752256,904251511,904039333,901712245,900553854,898265244,896912395,890987739,889818930,882263790,879669426,873672292,873660203,871241894,870083032,869163730,867532718,866476385,864926847,860991545,860074874,856244351,854061944,853078496,850988516,849981755,844697952,836622642,835413505,829322112,828649247,827375951,824485426,823510273,823105996,822487677,821906482,820425261,815866281,815706251,812458335,811325662,811280915,807500698,805374199,804574931,799662675,798450702,792607889,791819175,787202040,786376739,784407149,782489511,758600232,756998244,755333496,752008175,751560329,750912999,746992190,743964278,742043151,739725515,734655093,733606707,731592242,725827846,725559550,725532993,722954919,722105211,721962291,716504813,714962022,714418562,712373361,708368841,705126035,705124452,699465011,697773561,695691181,693566462,693461789,692107880,691194682,690032961,683656196,682634137,681197888,678851184,677897068,672932703,670202611,666222547,664393398,659960812,657875568,656188701,656109859,654815764,645624937,643095054,641048324,635297941,633017431,629042227,622004421,609813961,605122452,604380889,603331450,595691516,592038339,591104330,590908495,589768421,586268737,585528250,585020925,583397659,578995434,577636451,577279172,574967082,572459495,568804805,567971905,565497372,562275047,561635473,560930372,547842866,543712179,533987725,530587232,529051920,528967169,528362192,522208496,515539400,515403604,513064130,510084121,509639438,509258626,504461609,503077178,500554511,499338604,496057610,495848808,494133686,492697958,490769600,490020443,486552695,486427248,469738233,469013533,468380417,468096026,462776248,460229287,455038015,454303037,452261654,448819142,446506162,444939388,435682783,435285188,435029416,433976043,429396277,428667023,421982136,419774841,415530604,415214906,414528078,412178582,411820648,409541059,405959024,405316557,403313516,403251619,401782979,397929927,393156699,386037751,384524168,382771911,379574688,378219750,374309821,370524096,369634815,369432121,365319735,361910545,360609308,359984679,358266841,351450364,351088869,350381675,349597607,349178963,335726669,334049166,332271955,331494279,327445679,326892357,324147230,322192220,317581700,316526757,315658310,310636309,308737918,307205987,305738746,303066546,299195270,297744910,297599514,295729853,293021371,291388471,289438985,288155992,287718236,287705960,286961490,283279138,277112956,277013901,271375276,268290648,265322657,265012930,264413123,263402369,259459837,258772337,255904858,253048307,248723809,245441373,243778209,240861909,238978748,228497862,228044807,217387420,214750022,212889100,204229065,201113326,200041955,199399937,197786411,194448553,194257779,192837600,189780134,186013433,184334128,174720857,174350743,172462916,171303555,171203964,170452316,166176939,161592308,157027155,153107109,151912506,150596971,150308276,150140207,146033108,143539478,142776651,142408426,140817784,138143459,137778334,133362545,131672847,129468628,128165303,124799324,122738195,119920589,116685826,106068484,103972256,102029678,99890326,99607873,95744632,95133303,89921385,87264312,87160935,78485770,76632603,74482400,72029382,68279325,67098232,64711475,62262205,61748707,57210301,56835920,56370218,55883010,54286247,54064238,53835247,53273235,53102600,52825304,52584448,52153426,51707672,51362830,50839178,50645577,50096784,49872110,49579785,45021416,44445297,43257185,41130364,41123328,39025764,37941606,35456624,34276925,33116185,32593879,26008728,25774706,25297526,23371788,21772559,19609955,19520183,19342227,19256932,17267952,15284922,14360396,11460601,9799809,9058031,8585397,8447883,8244257,6829298,5262835,5026017,4553962,3944684,2979806,1466569,505023}
{98503,98506,98508,98511,98511,98516,98518,98519,98520,98522,98533,98535,98537,98548,98549,98549,98550,98551,98551,98551,98553,98566,98566,98568,98574,98578,98581,98582,98584,98588,98593,98593,98595,98595,98598,98604,98606,98607,98609,98610,98611,98612,98614,98616,98617,98618,98618,98618,98621,98622,98627,98641,98642,98645,98647,98649,98662,98662,98664,98664,98669,98671,98674,98676,98678,98678,98680,98681,98684,98687,98688,98689,98690,98696,98704,98705,98706,98708,98711,98717,98717,98719,98720,98722,98722,98722,98724,98728,98729,98733,98737,98737,98739,98740,98740,98744,98746,98756,98757,98757,98758,98760,98764,98766,98767,98769,98776,98777,98784,98785,98788,98791,98793,98793,98800,98806,98806,98806,98807,98808,98808,98812,98813,98817,98818,98826,98828,98835,98839,98845,98847,98848,98848,98855,98856,98858,98858,98860,98863,98865,98867,98867,98867,98871,98874,98875,98875,98876,98879,98881,98882,98882,98884,98884,98887,98897,98898,98904,98906,98907,98907,98908,98909,98909,98913,98920,98921,98922,98926,98932,98932,98933,98934,98934,98938,98943,98943,98944,98946,98947,98949,98949,98955,98955,98956,98962,98964,98965,98970,98974,98977,98980,98980,98984,98987,98988,98989,98989,98992,98993,98999,99000,99002,99003,99004,99006,99006,99010,99010,99011,99011,99012,99013,99014,99015,99016,99018,99020,99020,99029,99031,99032,99034,99040,99053,99056,99056,99059,99061,99061,99064,99064,99065,99066,99068,99070,99070,99081,99081,99085,99085,99092,99092,99092,99102,99104,99108,99111,99112,99114,99115,99117,99120,99121,99121,99128,99130,99132,99134,99145,99145,99146,99148,99149,99150,99152,99152,99156,99160,99162,99168,99169,99169,99173,99177,99180,99181,99184,99201,99201,99204,99208,99211,99211,99214,99215,99224,99227,99228,99230,99230,99230,99231,99231,99231,99232,99236,99239,99241,99241,99242,99246,99247,99247,99248,99253,99259,99260,99263,99267,99267,99270,99274,99275,99289,99289,99290,99293,99294,99295,99296,99296,99299,99306,99308,99308,99308,99314,99315,99315,99317,99318,99322,99324,99325,99326,99327,99329,99330,99340,99341,99342,99351,99352,99352,99354,99354,99359,99361,99362,99367,99368,99368,99368,99368,99370,99371,99378,99380,99384,99385,99386,99386,99388,99395,99402,99407,99409,99410,99411,99411,99412,99414,99415,99416,99421,99426,99426,99431,99431,99438,99443,99447,99447,99453,99458,99459,99459,99460,99461,99464,99467,99468,99471,99473,99473,99476,99480,99498,99498}
Returns: {502487.78453999996, 1951846.9012270367, 4876321.32543545, 8715284.523790387, 1.3107253941299837E7, 1.791028975301707E7, 2.2890233681366332E7, 2.931857615302383E7, 3.702739703278684E7, 4.484508183704201E7, 5.270609442947872E7, 6.092410824084101E7, 6.974366434245762E7, 8.000814591279964E7, 9.283664228138223E7, 1.0636757209210424E8, 1.2155175338224806E8, 1.3837141503177422E8, 1.5507214485074487E8, 1.7173374922182682E8, 1.8827010539889795E8, 2.0653313540582412E8, 2.2598292578547403E8, 2.4689313030491203E8, 2.6795885050756025E8, 2.889608832396483E8, 3.153856503662324E8, 3.419358200821398E8, 3.691461087395551E8, 3.970203612781502E8, 4.2664699915807545E8, 4.568142693722879E8, 4.883482015084967E8, 5.194967060416994E8, 5.519767008234166E8, 5.849800440806848E8, 6.17988558470172E8, 6.542398559008086E8, 6.902573515664076E8, 7.259798313645262E8, 7.61664291760544E8, 7.970020520763141E8, 8.322656635000668E8, 8.672670255223757E8, 9.021307456682078E8, 9.368330922273655E8, 9.712446624900526E8, 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{98508,98516,98517,98528,98529,98530,98532,98533,98533,98534,98535,98535,98537,98540,98540,98541,98543,98549,98554,98558,98558,98562,98562,98562,98563,98565,98566,98567,98568,98570,98571,98577,98579,98589,98593,98595,98598,98603,98606,98606,98616,98616,98622,98626,98626,98626,98629,98629,98630,98632,98635,98639,98640,98642,98642,98642,98645,98647,98648,98650,98651,98651,98651,98652,98657,98660,98662,98662,98667,98667,98669,98674,98674,98676,98677,98682,98684,98686,98686,98693,98694,98695,98698,98700,98704,98708,98710,98712,98712,98717,98717,98726,98727,98727,98728,98731,98731,98731,98732,98733,98734,98735,98737,98740,98743,98746,98746,98751,98756,98758,98762,98764,98768,98771,98773,98774,98774,98778,98779,98779,98780,98782,98782,98783,98784,98785,98794,98795,98795,98798,98799,98804,98805,98809,98809,98809,98811,98813,98814,98814,98816,98823,98829,98830,98837,98837,98839,98841,98847,98848,98850,98851,98860,98862,98865,98869,98870,98871,98875,98876,98883,98884,98886,98888,98889,98890,98891,98892,98894,98894,98898,98900,98900,98902,98908,98909,98917,98917,98922,98938,98940,98946,98947,98947,98952,98955,98955,98957,98961,98963,98967,98967,98968,98971,98973,98977,98977,98979,98980,98980,98983,98988,98990,98990,98996,98998,99008,99013,99016,99018,99019,99021,99024,99026,99033,99034,99036,99037,99040,99041,99042,99043,99043,99044,99047,99047,99048,99049,99050,99053,99055,99056,99058,99058,99061,99062,99062,99062,99064,99065,99066,99071,99075,99076,99076,99080,99081,99082,99083,99084,99086,99088,99090,99090,99095,99099,99102,99102,99106,99106,99107,99114,99115,99120,99121,99123,99124,99125,99127,99129,99135,99135,99137,99142,99143,99151,99151,99153,99158,99159,99159,99159,99163,99171,99174,99174,99175,99176,99178,99179,99179,99183,99189,99189,99190,99193,99194,99194,99199,99200,99201,99202,99205,99206,99210,99210,99211,99211,99214,99217,99218,99219,99220,99222,99224,99229,99233,99236,99241,99243,99247,99252,99254,99255,99256,99263,99264,99264,99265,99272,99272,99275,99280,99280,99283,99290,99291,99300,99300,99306,99309,99317,99321,99321,99325,99325,99334,99337,99338,99343,99346,99358,99359,99360,99362,99369,99370,99374,99380,99380,99386,99386,99389,99389,99390,99396,99396,99398,99400,99401,99405,99406,99409,99416,99417,99418,99419,99427,99434,99442,99443,99443,99444,99444,99449,99455,99459,99460,99460,99464,99466,99467,99469,99474,99478,99485,99487,99495,99498,99499}
Returns: {6206067.04684, 1.3879261758107657E7, 2.1559800056704417E7, 3.229759553808597E7, 4.317337209125382E7, 5.556464996805353E7, 6.822464443629333E7, 8.121095612589015E7, 9.902062021217859E7, 1.1726198383244956E8, 1.356730990794655E8, 1.5565465512600008E8, 1.7663006139825583E8, 1.9749541175281936E8, 2.19473928440727E8, 2.420472547110379E8, 2.665771851387366E8, 2.9092443522207326E8, 3.1693108532185775E8, 3.4291443402346396E8, 3.69158731469763E8, 3.9511595676974946E8, 4.2286990261198026E8, 4.509432425702068E8, 4.7971639205039877E8, 5.096921614798629E8, 5.393036799987687E8, 5.688075666286734E8, 5.984690488459959E8, 6.29160635775123E8, 6.612985847112925E8, 6.98129512488895E8, 7.35898992124322E8, 7.739217802533451E8, 8.148515582847791E8, 8.553068466393946E8, 8.953785160865008E8, 9.358483969849755E8, 9.758678773213519E8, 1.0157994107176118E9, 1.0586841288622105E9, 1.101739596347908E9, 1.146994250584974E9, 1.1916561271410964E9, 1.2361694268938947E9, 1.2812231984161186E9, 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4.748452899839354E9, 4.717208758780431E9, 4.686253798035276E9, 4.655551676702376E9, 4.625116946475377E9, 4.595082458899601E9, 4.565249217228895E9, 4.535608086067546E9, 4.506391529929135E9, 4.477397730954955E9, 4.44886265529219E9, 4.420514362607202E9, 4.392372594685431E9, 4.36443816195209E9, 4.336970657465421E9, 4.30979223245265E9, 4.2827936277809663E9, 4.256056898031211E9, 4.2295071172811346E9, 4.2032951008777905E9, 4.1773395798066187E9, 4.1515672752978888E9, 4.126112767767678E9, 4.100829828595502E9, 4.0761295516384945E9, 4.0515888898587217E9, 4.0272168420562315E9, 4.002992161233284E9, 3.979158788602445E9, 3.955493246551843E9, 3.9321255126881003E9, 3.9090358033564663E9, 3.886100697886155E9, 3.863410579393591E9, 3.8408638135570664E9, 3.8185265803628993E9, 3.7963418755739827E9, 3.7742971945714464E9, 3.752522159593617E9, 3.7308878327419486E9, 3.709419571895117E9, 3.6880987241287427E9, 3.6669167847502418E9, 3.6458792174493484E9, 3.6249667294804683E9, 3.604270653082947E9, 3.5839383586051636E9, 3.563756396151064E9, 3.543689878057105E9, 3.5237493422769446E9, 3.504188348697741E9, 3.484936279107487E9, 3.4660685029628572E9, 3.447313499153974E9, 3.4286618493937497E9, 3.4101154880030565E9, 3.3916748554280863E9, 3.373448264308627E9, 3.355505495094182E9, 3.3377665130913243E9, 3.320129522916059E9, 3.3026083536102843E9, 3.2852563238864107E9, 3.268051767536153E9, 3.2509398746122193E9, 3.233938814105263E9, 3.2171564103104105E9, 3.200582734680405E9, 3.1842901832766867E9, 3.168139964721019E9, 3.152271823327031E9, 3.13657629455364E9, 3.120964821701082E9 }
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{100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000}
Returns: {1.0E9, 2.0E9, 3.0E9, 4.0E9, 5.0E9, 6.0E9, 7.0E9, 8.0E9, 9.0E9, 1.0E10, 1.1E10, 1.2E10, 1.3E10, 1.4E10, 1.5E10, 1.6E10, 1.7E10, 1.8E10, 1.9E10, 2.0E10, 2.1E10, 2.2E10, 2.3E10, 2.4E10, 2.5E10, 2.6E10, 2.7E10, 2.8E10, 2.9E10, 3.0E10, 3.1E10, 3.2E10, 3.3E10, 3.4E10, 3.5E10, 3.6E10, 3.7E10, 3.8E10, 3.9E10, 4.0E10, 4.1E10, 4.2E10, 4.3E10, 4.4E10, 4.5E10, 4.6E10, 4.7E10, 4.8E10, 4.9E10, 5.0E10, 5.1E10, 5.2E10, 5.3E10, 5.4E10, 5.5E10, 5.6E10, 5.7E10, 5.8E10, 5.9E10, 6.0E10, 6.1E10, 6.2E10, 6.3E10, 6.4E10, 6.5E10, 6.6E10, 6.7E10, 6.8E10, 6.9E10, 7.0E10, 7.1E10, 7.2E10, 7.3E10, 7.4E10, 7.5E10, 7.6E10, 7.7E10, 7.8E10, 7.9E10, 8.0E10, 8.1E10, 8.2E10, 8.3E10, 8.4E10, 8.5E10, 8.6E10, 8.7E10, 8.8E10, 8.9E10, 9.0E10, 9.1E10, 9.2E10, 9.3E10, 9.4E10, 9.5E10, 9.6E10, 9.7E10, 9.8E10, 9.9E10, 1.0E11, 1.01E11, 1.02E11, 1.03E11, 1.04E11, 1.05E11, 1.06E11, 1.07E11, 1.08E11, 1.09E11, 1.1E11, 1.11E11, 1.12E11, 1.13E11, 1.14E11, 1.15E11, 1.16E11, 1.17E11, 1.18E11, 1.19E11, 1.2E11, 1.21E11, 1.22E11, 1.23E11, 1.24E11, 1.25E11, 1.26E11, 1.27E11, 1.28E11, 1.29E11, 1.3E11, 1.31E11, 1.32E11, 1.33E11, 1.34E11, 1.35E11, 1.36E11, 1.37E11, 1.38E11, 1.39E11, 1.4E11, 1.41E11, 1.42E11, 1.43E11, 1.44E11, 1.45E11, 1.46E11, 1.47E11, 1.48E11, 1.49E11, 1.5E11, 1.51E11, 1.52E11, 1.53E11, 1.54E11, 1.55E11, 1.56E11, 1.57E11, 1.58E11, 1.59E11, 1.6E11, 1.61E11, 1.62E11, 1.63E11, 1.64E11, 1.65E11, 1.66E11, 1.67E11, 1.68E11, 1.69E11, 1.7E11, 1.71E11, 1.72E11, 1.73E11, 1.74E11, 1.75E11, 1.76E11, 1.77E11, 1.78E11, 1.79E11, 1.8E11, 1.81E11, 1.82E11, 1.83E11, 1.84E11, 1.85E11, 1.86E11, 1.87E11, 1.88E11, 1.89E11, 1.9E11, 1.91E11, 1.92E11, 1.93E11, 1.94E11, 1.95E11, 1.96E11, 1.97E11, 1.98E11, 1.99E11, 2.0E11, 2.01E11, 2.02E11, 2.03E11, 2.04E11, 2.05E11, 2.06E11, 2.07E11, 2.08E11, 2.09E11, 2.1E11, 2.11E11, 2.12E11, 2.13E11, 2.14E11, 2.15E11, 2.16E11, 2.17E11, 2.18E11, 2.19E11, 2.2E11, 2.21E11, 2.22E11, 2.23E11, 2.24E11, 2.25E11, 2.26E11, 2.27E11, 2.28E11, 2.29E11, 2.3E11, 2.31E11, 2.32E11, 2.33E11, 2.34E11, 2.35E11, 2.36E11, 2.37E11, 2.38E11, 2.39E11, 2.4E11, 2.41E11, 2.42E11, 2.43E11, 2.44E11, 2.45E11, 2.46E11, 2.47E11, 2.48E11, 2.49E11, 2.5E11, 2.51E11, 2.52E11, 2.53E11, 2.54E11, 2.55E11, 2.56E11, 2.57E11, 2.58E11, 2.59E11, 2.6E11, 2.61E11, 2.62E11, 2.63E11, 2.64E11, 2.65E11, 2.66E11, 2.67E11, 2.68E11, 2.69E11, 2.7E11, 2.71E11, 2.72E11, 2.73E11, 2.74E11, 2.75E11, 2.76E11, 2.77E11, 2.78E11, 2.79E11, 2.8E11, 2.81E11, 2.82E11, 2.83E11, 2.84E11, 2.85E11, 2.86E11, 2.87E11, 2.88E11, 2.89E11, 2.9E11, 2.91E11, 2.92E11, 2.93E11, 2.94E11, 2.95E11, 2.96E11, 2.97E11, 2.98E11, 2.99E11, 3.0E11, 3.01E11, 3.02E11, 3.03E11, 3.04E11, 3.05E11, 3.06E11, 3.07E11, 3.08E11, 3.09E11, 3.1E11, 3.11E11, 3.12E11, 3.13E11, 3.14E11, 3.15E11, 3.16E11, 3.17E11, 3.18E11, 3.19E11, 3.2E11, 3.21E11, 3.22E11, 3.23E11, 3.24E11, 3.25E11, 3.26E11, 3.27E11, 3.28E11, 3.29E11, 3.3E11, 3.31E11, 3.32E11, 3.33E11, 3.34E11, 3.35E11, 3.36E11, 3.37E11, 3.38E11, 3.39E11, 3.4E11, 3.41E11, 3.42E11, 3.43E11, 3.44E11, 3.45E11, 3.46E11, 3.47E11, 3.48E11, 3.49E11, 3.5E11, 3.51E11, 3.52E11, 3.53E11, 3.54E11, 3.55E11, 3.56E11, 3.57E11, 3.58E11, 3.59E11, 3.6E11, 3.61E11, 3.62E11, 3.63E11, 3.64E11, 3.65E11, 3.66E11, 3.67E11, 3.68E11, 3.69E11, 3.7E11, 3.71E11, 3.72E11, 3.73E11, 3.74E11, 3.75E11, 3.76E11, 3.77E11, 3.78E11, 3.79E11, 3.8E11, 3.81E11, 3.82E11, 3.83E11, 3.84E11, 3.85E11, 3.86E11, 3.87E11, 3.88E11, 3.89E11, 3.9E11, 3.91E11, 3.92E11, 3.93E11, 3.94E11, 3.95E11, 3.96E11, 3.97E11, 3.98E11, 3.99E11, 4.0E11 }
{989054080,99257358,213707445,169302309,452990117,887221096,174511099,842932582,185221212,705169508,479497597,194398005,156693306,943230079,403305088,659919948,640797501,735877608,48044379,963544286,542680430,965890985,236840018,724651940,635196908,58026270,133503656,53247744,686670302,415075212,767411269,395223201,357538678,950829221,324142676,565436921,350009510,2190490,25767064,660806502,831177702,718605670,173324164,291249558,42221350,708852061,175986083,604686538,828774609,45361063,926065197,831339358,146492290,262034218,914933287,966075420,350504907,875406654,520738750,241861576,178495592,635201852,505942804,871360674,21687606,678193042,583420854,279704378,322856895,147889681,161394024,592489928,195455019,954155430,697740614,387645724,959930172,806632577,58063255,688477952,190212810,338810439,309317051,921744188,183833295,314831036,415412277,746114853,516842113,805111073,764188814,618759393,26388788,824791422,565835952,932386502,955455546,677993194,52056014,91331530,28439720,143735326,14324905,2775018,479469088,104715189,112400254,635030882,159633580,753890178,276266461,50248456,599950245,766274595,346470270,490435792,658651591,214707820,63156714,781284179,271718727,900596326,547600205,347576294,577420351,450874345,601409690,533039845,577094264,639174924,752333979,947182968,746135134,565704540,372206741,816837661,971365116,512821042,796558058,280777084,14210555,38979134,984213801,389008571,19750808,627141324,76649710,32209965,269009700,23061340,394667908,348284866,125592267,507619809,659682043,902448688,872938747,23226902,836401474,331143519,606354984,686044106,883311372,746761952,735587156,889263713,877995677,734451002,189175868,670380786,876928888,882692427,519304280,978425862,475696687,250108846,712746581,799022817,715554691,209140209,693007842,772553116,801723709,498448134,890092308,478715051,851111372,710315285,791270179,736508317,992192040,616384900,992581640,306622780,534270174,771717654,950521479,489466821,386334973,15510176,166843158,576012880,656703973,951550809,364508539,859726896,899717675,738890748,314755296,451831931,297792625,779194995,159866039,180629579,959367814,843358267,463872139,30197280,906079799,508714410,47816880,899506264,287935931,238475120,915332998,495774587,971099529,327949750,38679658,783917157,535565229,766217374,25201724,663860189,472523433,236917707,148137825,869868252,688479832,520981372,763191971,262421289,105895351,596336139,950519321,150444478,111833498,626136633,261363442,670747855,642293362,130981259,52193628,577535834,654971773,893334267,926689634,540631267,278662277,31957528,699518457,946745425,318839461,438290446,257771954,731585337,694607420,798990705,234068861,23909793,986533671,36670404,82135716,271327048,384526474,824961229,825410752,341646545,215570547,864665560,926852480,487272537,982322555,649405901,51123866,878428865,307903964,694140858,808848782,163717891,861259082,381496212,40521640,51604648,369980892,401169999,588125154,12309815,655045910,579125224,751806343,451105168,293078485,429363951,883186255,954347828,340284958,653849430,525086630,313471891,581841159,65533869,191584041,930524049,739388739,89113678,56893475,666642914,173619221,600085959,645179528,594172028,870749007,327882302,292434480,286308799,820586827,584549297,41037522,31423216,790956974,900822662,524871104,965558473,891043672,331174613,721645666,8102080,284699695,510734776,555786561,596159780,19583311,652954834,374029094,743523216,903058634,928856543,847350769,849119316,676647200,130646267,820550211,282082081,635401741,846715570,236860044,523554929,228449514,549691728,871336174,35599227,501492349,40419425,285569811,280961183,275143848,148877646,668757783,922104324,562781305,990661844,117798984,548023257,49984255,396788257,879617266,176034226,353484287,457128921,37550970,89294324,667778036,579993835,949585724,255793419,517034236,9654532,564252977,607206607,935156913,561107904,706501108,206244405,290766331,727682323,531673536,225198762,795304639,992462830}
{98846,99173,99247,99144,98849,98872,98747,99317,99494,99397,98601,99414,99216,99435,99026,99231,99374,99138,99410,99299,99269,99288,98657,98689,98720,99031,98582,99417,98720,99304,98574,99321,99459,99093,99303,99239,98719,98624,99432,99438,98899,98614,99253,98656,98946,98627,99244,99191,99015,98955,99273,98978,98632,98629,99465,98729,98947,98943,98857,98616,99456,98897,98972,99173,98788,99170,98631,98512,99377,99084,99493,99183,98966,98735,98881,99238,99107,98655,98856,98904,98609,99119,98914,99232,98819,99137,99229,99268,98888,99499,99320,99399,98523,99274,99480,99429,98800,99365,98980,98700,98720,99394,99457,98798,99023,99248,98606,98857,98587,98904,99317,98521,99267,98835,98710,99139,98832,98859,99059,99090,98934,98515,99100,98959,99066,99413,99289,98626,99057,98598,98657,99298,98924,99114,99485,99069,98758,98832,98795,98663,99481,99406,98555,99036,99228,99274,99357,99005,98718,98796,99238,99284,99071,99374,99340,98943,99435,98632,99223,98909,98710,98820,98979,98650,99141,98614,98975,99388,99451,98737,98904,99034,98935,99304,98596,98745,98862,99402,98565,98590,98732,98756,99443,98545,99106,99421,99273,99151,99495,98667,98811,99029,98806,99480,99052,98628,98963,99444,99194,99449,98974,98704,99406,98729,98995,99391,98933,98782,98823,98916,99137,98804,98572,99266,99292,98569,98743,99496,98610,99375,99014,99136,98748,98506,98915,99290,99068,99257,98726,99269,98572,98789,99326,99208,98556,99269,99455,99107,98928,99357,98665,98776,98582,98552,98980,98896,99033,99196,99277,99006,98919,98791,98576,98765,98594,98932,99035,99458,98697,98784,98742,99400,98941,99249,98565,98519,99163,99092,98617,99003,98644,99444,98530,99205,99270,98659,98838,99163,99385,99034,98830,98552,99481,99104,98901,98931,98615,98739,99223,99223,98934,99376,98835,99030,98606,99204,99177,98870,99050,98560,99459,98512,98778,99165,99155,98692,98585,98636,98840,98934,99164,98764,98880,99302,99432,98633,98524,99121,99240,98664,98896,98554,98553,98891,98733,99231,98966,98942,99404,99292,99362,99255,99235,98946,98729,99408,98637,99453,98926,99219,99355,99487,98891,99440,99269,98615,99154,99457,98655,99008,98535,99050,98828,99450,99114,99409,99212,99187,99357,98983,99148,99314,99258,99451,98642,99033,98762,98667,99198,98503,99013,99065,98727,99447,99485,98888,98963,99420,99354,99043,98709,99072,99499,99008,99388,99408,98729,98696,98719,99497,98820,98688,98675,98960,99450,98876,99120,98844,98612,98975}
Returns: {2160348.8576, 4838318.474948762, 1.266321811576041E7, 2.173186781715609E7, 3.312660019382756E7, 4.6322595725634076E7, 5.947338417125018E7, 7.357698345398533E7, 9.078005046785025E7, 1.0811208517276728E8, 1.2636296573668155E8, 1.4529730174800712E8, 1.638166083458935E8, 1.8298823743995616E8, 2.0290830787861854E8, 2.2300023746019337E8, 2.4354989615996006E8, 2.64203412211266E8, 2.873771566007229E8, 3.107361822559744E8, 3.338419217656028E8, 3.5685504489085287E8, 3.821819140777303E8, 4.07743502919425E8, 4.327808116082219E8, 4.588767232775506E8, 4.846594430342719E8, 5.115463843699809E8, 5.38056545095147E8, 5.654752985098029E8, 5.927584216425378E8, 6.200928849757265E8, 6.475137135667449E8, 6.756071671774902E8, 7.03084370755758E8, 7.312956156110041E8, 7.599053402548233E8, 7.878398503999254E8, 8.152307787324175E8, 8.428444889703051E8, 8.719390536783686E8, 9.006236593201901E8, 9.300360926268663E8, 9.594085895619476E8, 9.89843953307229E8, 1.0209054819257576E9, 1.0576354841516292E9, 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{989707034,534425309,824395150,34577422,510575791,2912063,533665207,665755767,907303428,723148930,68289545,954386713,560031589,571295303,11501533,750941625,411084350,390589536,194385440,395434602,763142758,39470105,450126938,307872229,690956030,13397489,326445157,839985098,33533660,470992122,63152108,345919998,182988950,607428888,460799342,680613983,422045280,60732572,161100389,938394917,27468539,437171316,680925211,427408154,248140206,357686622,147418772,264457409,660402953,608449105,77525136,12854979,223561702,228471582,791345159,748961690,682356292,616588467,159674090,623240698,66067971,847295336,205326168,871627201,860935632,564380820,899299480,772053865,604825391,641581571,671890657,503320484,767046706,907079384,124521032,184729819,662192944,121802457,603063426,483577476,474087060,723315561,547054502,68427109,498253626,23182302,563448092,724438444,319159627,942522515,851198890,407685489,32293853,760121896,855062618,55529802,798638536,741038623,846263049,144423109,412063116,407962958,307909918,25030803,454340386,36992006,323805447,170693363,359982049,496386962,561585443,368986649,322834773,82973374,192187675,561896869,153446749,687415789,837614035,509178043,17988355,443380645,529958036,623048016,381917727,122358800,346244516,290451957,19276912,568891155,916712500,675665999,837543090,582371547,826810265,317297675,451133764,970015831,897686797,228998719,611581881,674502752,650562924,388080349,710694853,345708522,582242027,35029787,467520326,331063723,843558943,813416670,14307691,953227910,304764133,527196139,62321992,621588406,528566073,118556755,436353666,718415182,419784726,928904471,229731227,19199484,1590341,915373468,81244617,16731613,159056728,103195343,41748146,552230359,727428756,372199263,32236124,122707527,909135496,215167838,73666028,695915044,112137785,639756710,720157045,187450764,50221399,349066201,447116558,362487860,338745222,660198916,139978940,956015010,573206049,438132539,720987453,132895367,192638878,432139681,844868788,583484214,472554587,507540930,59064959,728897811,950951447,587881280,1563537,335592679,130381296,586180614,317226568,12072444,618732188,497445810,581057755,315062477,191889945,217018359,693772647,296008804,86185546,256618459,182230796,143957418,217336335,780089874,726773905,255565022,847270296,130281078,61241144,315671736,753841358,984629100,212191647,364020393,709819626,665511252,8728474,1848680,183693974,531459825,969903442,427655811,354004796,259676819,4466454,457780451,278526128,159098521,242896392,4738333,381691581,898825969,648636462,526589562,101092316,216399154,303386699,136539728,642522732,636394992,154624648,26100857,755686830,976378983,48254851,391776179,765538439,670769330,691673973,163407137,629257847,405498157,229494718,507748822,824461973,234839785,574348701,976408104,409973067,102874642,247310705,559871730,65988052,727171165,586691228,229481901,739051326,122811512,76213227,299780856,699895445,869248551,797206693,480446227,67969458,895876492,182811819,306399498,37921253,33019062,722053907,315695466,792983301,462277850,77627148,592163275,623503004,95106251,693676522,256097454,523215522,946917762,286164242,950425277,138108169,460162428,148918477,760219805,268358571,703151859,168513060,900950636,299195912,182969650,337219199,897812704,974747470,55762158,158439047,305503111,962723453,760142833,733293940,907008855,837824062,855303057,922089455,652379127,788922760,19587529,941865331,63917331,320800621,274747266,507762471,582346205,184507663,180318941,592869688,579354717,877841626,989221059,201287083,655866055,93080895,509975918,442299414,378823155,597122362,596652458,872296342,218236860,919566149,9067523,392399496,481537668,692361622,566315617,525515548,291577463,516791765,336537732,860364209,191383470,342384297,927234594,558086635,708019874,878371815,405258785,66452566,457743053,235836104,983888190,364627456,55006689,35673649,3504747,670637145,405853415,893304435,701778455,647803721,576899783,803848632,443725247}
{98733,99381,99481,98879,98768,99392,98790,98997,98715,99391,98551,99360,98510,99143,99032,98792,98936,98701,99042,98913,98929,99148,98964,98675,98591,99445,98846,98718,98745,98771,98704,98628,98533,99123,98564,99267,99458,98806,98840,98712,99445,98877,98946,98876,99309,98584,99450,98596,99141,98670,99217,98732,98533,99307,99364,99344,98615,98676,99166,98519,99362,99339,98912,99351,98690,99034,98674,99200,98626,98576,99007,98801,99334,99047,98986,99291,99251,98552,99227,99089,99123,98668,99207,99148,98674,98843,98635,99247,98594,99121,98919,99278,98991,98981,98818,98871,99354,98657,98787,98581,99103,98512,98833,99495,98709,99210,99375,98789,98673,99103,98729,99261,99273,98734,99173,98816,98921,98716,99002,99327,99480,99205,99217,98924,98552,99059,99319,99346,99464,98992,99318,99426,98889,99493,99455,99060,98683,99135,98864,99201,98614,99134,99221,98673,98839,98828,99089,98881,99241,99495,98745,98865,98776,99038,99149,98961,98899,99468,98741,98968,98737,98727,98965,98633,99385,99239,99065,98718,99383,99279,98879,98776,99210,98539,99024,98613,98782,99135,98836,98759,99466,99282,99272,98869,99002,99422,99009,98540,99290,99177,99237,99123,99448,99239,98630,98744,98926,99006,98751,99261,99257,98552,99122,99338,99302,99128,98584,98864,98918,99221,98574,98586,98901,99255,98815,98843,98999,99380,99374,99462,98613,98992,99016,98761,98650,99127,98659,99416,99017,98659,99193,99210,99002,98788,98739,99126,98665,99476,98942,99243,98542,99184,98903,98841,99482,99197,98502,99090,99390,99320,98956,99174,99227,99027,98716,98795,99185,98910,99442,98721,99025,98596,99431,98581,98634,98811,99080,99029,99172,99232,99266,99061,99038,98735,99167,98885,98848,99429,98517,99107,98815,99410,99282,98702,99125,99232,99498,99168,99445,98566,99277,98842,98791,98827,99329,99422,98720,98827,98779,98511,98934,99346,98548,99128,99039,99346,98686,99493,98735,98573,98940,98725,99235,98970,99322,99252,98697,98865,98954,98857,99069,98991,98738,98844,98554,98663,98878,98508,98844,99269,98906,99219,98928,99148,99140,99050,99496,98641,98987,99251,98584,98631,98906,98969,98858,99313,99251,99145,99042,99022,99196,99030,99321,99071,98610,98902,99186,98721,98664,99416,99375,98794,98510,98682,99297,98500,98754,98628,98913,98701,99112,99229,98538,99370,98681,98895,99211,99134,98757,99348,99118,98565,99000,99423,99410,99080,98886,99146,99264,98687,98862,99218,99464,98977,99383,98772,98889,98572,98926,99229}
Returns: {1546619.52966, 3090583.349115626, 4862160.852933956, 7645726.217832075, 1.0945135857198823E7, 1.5133224348783482E7, 1.9455910727398362E7, 2.728624527847234E7, 3.522541177167419E7, 4.532750196218772E7, 5.586959280947E7, 6.65992758642055E7, 7.808431361253154E7, 8.963365149116284E7, 1.035055826764909E8, 1.1849486607912044E8, 1.3400677965734302E8, 1.4926425756956807E8, 1.6471951588661352E8, 1.8213608114805618E8, 2.0146679223173052E8, 2.209603062826218E8, 2.4211752317073065E8, 2.651171341519257E8, 2.8817488360841084E8, 3.109436434976643E8, 3.339861179172649E8, 3.5690918503502274E8, 3.7962899075626117E8, 4.022038510846405E8, 4.245382802902868E8, 4.4845132870426786E8, 4.7347616049078166E8, 5.0000514653886116E8, 5.305625375916197E8, 5.610582693290902E8, 5.923377478790892E8, 6.242234883588736E8, 6.57780422871467E8, 6.912845466588031E8, 7.247738369790571E8, 7.582232311419076E8, 7.90960520831953E8, 8.237913673695996E8, 8.560828047312049E8, 8.888720733605375E8, 9.231502441564629E8, 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{98517,98090,98664,98234,98096,98588,98399,98957,98249,98167,98292,98527,98260,98145,98330,98869,98314,98181,98976,98538,98546,98450,98824,98938,98586,98382,98793,98222,98557,98962,98812,98734,98610,98292,98473,98145,98729,98342,98447,98989,98133,98440,98854,98743,98743,98952,98046,98313,98240,98476,98243,98165,98533,98564,98863,98173,98704,98482,98750,98342,98891,98830,98688,98810,98300,98355,98384,98802,98895,98027,98887,98957,98118,98001,98737,98842,98018,98939,98203,98470,98927,98525,98489,98926,98593,98349,98818,98554,98824,98162,98992,98967,98108,98723,98816,98130,98713,98344,98886,98693,98338,98114,98599,98707,98230,98442,98564,98738,98284,98747,98449,98092,98949,98872,98593,98885,98109,98877,98152,98931,98266,98414,98382,98505,98360,98872,98511,98136,98339,98355,98251,98995,98010,98347,98166,98160,98548,98155,98975,98799,98716,98200,98761,98236,98476,98397,98220,98563,98139,98635,98265,98759,98173,98493,98336,98514,98847,98622,98946,98268,98024,98979,98838,98035,98375,98192,98804,98237,98047,98259,98859,98847,98467,98465,98819,98029,98266,98171,98353,98631,98249,98528,98726,98263,98051,98152,98055,98547,98673,98733,98539,98876,98210,98073,98487,98364,98569,98455,98666,98769,98297,98371,98727,98628,98434,98359,98469,98207,98672,98299,98993,98753,98984,98035,98503,98273,98530,98407,98523,98077,98990,98845,98570,98778,98695,98221,98591,98760,98776,98057,98535,98820,98456,98138,98804,98341,98951,98810,98194,98810,98710,98149,98691,98281,98561,98285,98963,98695,98068,98001,98738,98031,98622,98941,98254,98468,98872,98575,98093,98151,98316,98102,98131,98367,98278,98473,98633,98410,98867,98930,98943,98646,98917,98584,98015,98255,98242,98054,98946,98736,98479,98247,98791,98793,98905,98958,98439,98908,98725,98710,98722,98151,98324,98037,98343,98616,98641,98016,98310,98643,98470,98406,98998,98436,98955,98501,98854,98404,98964,98766,98621,98676,98941,98417,98015,98900,98382,98639,98214,98969,98366,98307,98757,98138,98842,98959,98227,98153,98018,98207,98716,98840,98329,98111,98647,98130,98385,98756,98111,98678,98943,98420,98395,98867,98452,98046,98069,98646,98807,98913,98226,98292,98499,98470,98262,98102,98956,98611,98470,98865,98474,98677,98978,98490,98682,98492,98273,98826,98823,98773,98011,98415,98835,98201,98540,98734,98141,98936,98622,98713,98210,98820,98364,98587,98188,98870,98550,98029,98660,98315,98232,98712,98431,98395,98313,98768,98514,98414,98196,98619}
Returns: {1126041.2347, 4552214.30873712, 8043706.581152773, 1.1882142038631149E7, 1.6327824952589847E7, 2.392671616115919E7, 3.1992719599588703E7, 4.030644973985859E7, 4.991535925133686E7, 5.932194932173857E7, 6.861770166316421E7, 7.759272714723188E7, 8.641397960103375E7, 9.513261196101859E7, 1.0374172470778228E8, 1.1359037657280526E8, 1.2323564316971944E8, 1.3387732449154718E8, 1.457207555048988E8, 1.5876080109421575E8, 1.7214241122786182E8, 1.8564909145299622E8, 1.988152028368637E8, 2.1195875819885826E8, 2.265430176552678E8, 2.4088271501654494E8, 2.5501288234876305E8, 2.6919822563575274E8, 2.8330103373017305E8, 2.9746652707767296E8, 3.130299061008136E8, 3.2836889273895544E8, 3.4320015694626087E8, 3.59005089590626E8, 3.7452599995797E8, 3.913480559398104E8, 4.086826526511912E8, 4.2633343196581453E8, 4.440656976021436E8, 4.611855379063184E8, 4.778084970975557E8, 4.9455610610800123E8, 5.116754070912889E8, 5.287278502669151E8, 5.454378799709361E8, 5.62169065009827E8, 5.786623366921841E8, 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{96540,97371,97387,97926,97823,97684,97794,96391,96929,97312,97079,97030,96975,97920,97260,97829,97958,97492,97445,97870,97945,96376,96465,97333,97347,97071,96101,97306,97420,97457,96103,97231,97325,96211,97649,97422,97491,97643,97361,97720,96564,96209,96098,96205,96116,97812,96619,97631,97030,97682,97562,96262,97266,96534,97232,96337,96330,97903,97099,97601,97499,97268,97269,97878,96069,97402,97679,97398,97147,97009,97564,96050,96777,96802,96526,97815,97623,96985,97570,97109,96065,97538,96203,96033,96563,97878,96753,96363,97366,97427,96295,96799,97565,96637,96878,97453,96205,96262,96764,96887,97439,97662,97356,96750,97670,96731,97139,97147,97601,97736,96263,96750,97263,97677,97055,97993,96213,96082,97034,96746,96479,96963,96480,97580,96761,96498,96058,96026,97004,97776,96690,96633,96008,96762,96568,97587,96421,96996,97211,97810,97769,97639,96499,96979,97433,96377,97536,96662,97582,96256,97268,96759,97534,97191,96640,97407,97223,97997,96512,96376,97274,96448,96039,96002,96877,97677,96986,97801,96814,97957,96508,97891,96839,96175,96190,96619,97685,96975,97091,96879,97656,97258,97527,97001,97929,97383,96093,97296,97935,96020,97897,96141,97199,97214,97587,96077,96294,97983,97432,97961,96167,97797,96063,97799,96675,97335,96895,96430,96205,97399,96131,97804,97946,96150,97690,97849,96906,96170,96351,96280,97945,97665,97677,97665,97732,97298,96447,97023,96731,97000,96682,96106,96873,97598,96171,96725,96902,96857,97055,96805,97784,97241,97398,97846,97581,96510,97126,96238,97544,97546,96960,96478,97150,97002,97267,96924,96431,96052,97923,97794,97812,97792,96857,96677,96397,96263,97625,97413,97526,96684,96758,96071,97214,97613,97061,96965,97447,96120,97010,96576,97692,97326,96726,96491,97204,96616,96660,96599,96394,96956,97351,96590,96618,96095,96493,96513,96042,97288,97249,96624,96781,96968,96203,97725,96664,96059,96855,97903,97586,96205,96936,96440,97804,97453,97721,97238,96917,97763,97496,97466,96092,97778,97331,96698,97683,96924,97470,97159,97416,96296,96827,96670,97586,96372,96471,97662,96604,97643,96246,96959,96260,96037,97374,97037,96178,96465,96515,97192,96552,96212,97831,97308,97997,97950,96958,96190,96233,96273,96083,96254,96431,97505,97710,97413,96317,97770,96290,96947,97812,97093,97960,97978,96423,96328,96908,97512,97109,96256,97402,96840,96598,97473,96296,97237,97190,97960,96592,96387,96179,96804,96742,96446,97607,96953,96979,96736,96039,97009,97268,97811}
Returns: {2933634.46772, 7659028.938426433, 1.2230095877727984E7, 1.6672805384396875E7, 2.270941175433939E7, 2.9964833521600578E7, 3.736009107119544E7, 4.585027943740029E7, 5.383706989717646E7, 6.14240003630881E7, 6.859317019844353E7, 7.554519990973714E7, 8.334816036423838E7, 9.120391953443167E7, 9.916105292401527E7, 1.0720000348574789E8, 1.1621685143642457E8, 1.2505779675680472E8, 1.3363418621777615E8, 1.4178185893831453E8, 1.4936335674140304E8, 1.5653509658629146E8, 1.6373941717370868E8, 1.713804565975382E8, 1.799273931987537E8, 1.8816507161973488E8, 1.9661432373036462E8, 2.0464174035564122E8, 2.1352550171112132E8, 2.2241295930618778E8, 2.3087830149812812E8, 2.3896459555017668E8, 2.4718013725159281E8, 2.5524760164865962E8, 2.6312337335977963E8, 2.710545654391319E8, 2.784245999204345E8, 2.849117128503937E8, 2.9097165950827616E8, 2.966223468794719E8, 3.019555666031854E8, 3.074451474690355E8, 3.1255913917167985E8, 3.1735927269226414E8, 3.221553241551441E8, 3.267150281624815E8, 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1.0814964464310693E7, 1.058262028551085E7, 1.0355264191727174E7, 1.0132597241919369E7, 9916115.219015226, 9704866.085129147, 9497992.085634254, 9295841.558180504, 9099070.419351427, 8906828.30452425, 8718650.023760363, 8534689.907437246, 8354976.072820495, 8179164.534716505, 8007400.02473805, 7839623.182281942, 7675211.103955673, 7514847.80404216, 7358010.957587091, 7204397.336756618, 7054234.82615447, 6907252.16779992, 6763435.206731018, 6622771.65581203, 6485717.293422133, 6352017.672519983, 6221606.9578474555, 6093849.612389173, 5968903.634510165, 5846407.032331388, 5726602.2294502845, 5609291.794924308, 5494442.602355838, 5381989.813119754, 5271904.637830422, 5163905.021354544, 5058089.757478857, 4954358.635120145, 4852746.31126578, 4753151.767032106, 4655593.666651744, 4560259.648371477, 4466949.807233373, 4375503.143804063, 4286488.024301305, 4199421.342364899, 4114075.873671851, 4030572.5165707152, 3948752.495494599, 3868606.8850839944, 3790490.6137762237, 3713986.2568591977, 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{90755,91505,93133,91706,94934,92862,94485,91086,90690,90690,90960,90652,93848,93561,90574,91757,93903,94538,92472,90998,93635,92170,92670,94911,93561,93442,93088,93057,90376,94897,94839,93114,91527,94121,93994,93433,94441,91473,94728,91770,90225,92735,91008,93416,91701,94866,91458,92892,93724,91906,94900,93672,91800,92920,93892,93939,94810,91180,92601,91148,94472,93714,90335,90631,92871,93083,91471,94944,92393,94548,94147,91425,91622,94856,92946,91181,91538,94733,94712,91609,94954,91856,93075,91758,93070,90761,92630,93512,92006,94406,93422,93261,91044,93137,94726,91782,92589,91928,92963,93686,91104,93350,94886,94869,92370,94365,91869,93603,92223,90914,94273,94340,90730,93670,94054,94775,91055,92591,92269,90405,94356,94794,90617,93667,91100,90165,92339,94111,91920,90143,93574,91252,92172,94872,94339,91373,91165,93992,93346,92874,92445,94656,92093,90277,90930,91505,90452,92546,94185,93800,90280,91386,90582,92821,94185,90782,93777,92527,92751,94619,93848,93793,92809,91232,90862,93442,91215,94665,90680,93575,91808,90331,94018,90704,90907,94765,93875,93868,90894,90738,93485,93813,91616,94912,92843,92690,91295,93326,93033,91983,94625,93064,92028,94358,90108,90828,90031,93580,90012,94626,90865,92299,92160,94844,90815,92834,94771,90370,94629,91909,90635,93084,90876,92781,92548,92821,90042,94639,93515,94787,90957,93789,91873,94288,92934,92662,93774,93079,92357,91069,91545,91662,94577,90299,92633,90055,92604,90549,92990,91350,92232,92197,91564,93625,90332,94889,90133,92483,90061,92629,94579,90030,94461,92232,92496,94194,93172,90480,92583,93025,90881,93494,91343,94031,91416,92057,92467,91515,91745,94618,93955,90880,91932,90644,91040,92242,91726,90585,92210,94649,91986,92196,93161,91989,91352,92329,91974,94302,92168,93397,94176,92618,94003,93631,94557,90516,93262,94163,94767,94545,90421,94841,91306,92129,93489,90809,93055,94118,91986,91044,90171,90063,91651,91523,91797,91138,93728,90896,92642,90589,94480,90181,91664,93042,90483,91591,93820,93285,92666,94161,94268,94767,91714,94514,92236,91647,90103,91133,91002,94741,91168,93708,93425,93389,93862,93675,93494,91020,92348,94940,91548,91253,92485,91711,91487,91858,91673,94911,93083,92266,91158,93405,91715,94183,90759,92660,92489,93748,92253,94936,90977,90975,91920,90046,92699,90979,92404,91595,90660,93787,90028,91038,94829,93416,93696,90980,91095,91929,91517,93463,94315,93004,94777,91429,91179,92328,90820,90104,90824,91662}
Returns: {482318.11143, 1889931.7605159148, 4282521.706941759, 6739465.067936109, 9654584.529043421, 1.4514404919582702E7, 1.896950131697204E7, 2.3456434741176523E7, 2.866875117014091E7, 3.369334433074584E7, 3.795250303594469E7, 4.148814136370045E7, 4.573316117150784E7, 4.914615630606735E7, 5.17096787703153E7, 5.361768994351083E7, 5.528203403247824E7, 5.647775014329472E7, 5.732086951770421E7, 5.825444271696119E7, 5.948138798669072E7, 6.0640426428324446E7, 6.142784861197244E7, 6.19844658089061E7, 6.22045619411386E7, 6.210241827096847E7, 6.180415817440708E7, 6.128187712573792E7, 6.052421512974004E7, 5.954204875655098E7, 5.8662884030690454E7, 5.78110333238368E7, 5.691679181084951E7, 5.591898383746572E7, 5.4821040171790324E7, 5.378085016655071E7, 5.278924200448563E7, 5.163124245365269E7, 5.056275255531065E7, 4.953854063163782E7, 4.847882206645295E7, 4.730890967771492E7, 4.604039318210847E7, 4.4779154161287904E7, 4.346352808105551E7, 4.2166167049593866E7, 4.090234243402961E7, 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Returns: {532373.79947, 1164586.2417983836, 2594105.2961463914, 3911166.246025403, 5993798.541048761, 7710559.972407263, 9091676.004659683, 1.0129224669101944E7, 1.1408652944347173E7, 1.2256007115427172E7, 1.274891342338109E7, 1.3079270432252446E7, 1.3270153288756663E7, 1.338525611781603E7, 1.3446775603946805E7, 1.3187029484466849E7, 1.2510391216719748E7, 1.17503535148763E7, 1.0986814082154257E7, 1.0243439748253988E7, 9434148.470197381, 8714985.319591211, 8048539.577133251, 7447133.022694062, 6769718.2766372515, 6147129.938337709, 5584520.142167761, 5030100.592276011, 4533700.222301624, 4086388.873063126, 3678017.0317213433, 3296987.9941664594, 2892504.8876892286, 2535654.6094141873, 2227919.037465575, 1960057.9845889125, 1725895.2215946843, 1516411.5297968397, 1332584.229219779, 1170689.8636899767, 1028024.6896223462, 903667.171193272, 796595.4833907975, 701461.4662619861, 613853.0443081051, 532397.8989500422, 461140.0202965108, 397043.47779457225, 341307.8229592385, 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{36296,76494,43997,63214,71094,71896,62184,73503,3764,65618,64447,68421,34411,51918,2888,84269,30784,46880,69160,11888,81237,71042,31972,16419,91154,53925,94276,61435,6652,9824,7242,46033,22936,2247,96507,46865,14472,24336,77979,41974,14867,27666,34965,36276,30848,45306,71399,55232,89715,82184,41337,9710,1806,84614,40654,85945,72856,91891,92208,34700,62936,96027,3232,80738,62034,97433,71202,10734,25799,56962,860,16423,34560,97768,68147,3648,81795,36195,41232,98031,49487,75749,5139,37802,17391,13318,50914,63684,49799,92343,49445,40339,76061,41742,14270,81484,98420,95240,24366,66692,20943,25933,59910,68688,51510,80282,49311,67045,30250,7877,55205,81976,89464,60830,63285,38970,86494,80411,60898,27112,20447,34068,62371,84723,15594,4895,44706,6511,47963,44428,75848,92147,10204,49072,86677,95347,43248,92965,1903,36575,9278,78108,17599,57974,25446,45389,8357,38823,78545,84685,19559,20937,48869,81258,2634,31659,7201,1476,19955,98764,43728,83753,68330,83675,99446,25037,12145,20106,8376,86410,70508,37846,67447,85712,86530,10833,21501,29912,96570,33802,24846,9364,65846,68799,98927,19037,40186,45025,34049,3011,44364,56513,82413,82975,6229,45884,31737,96387,73362,8607,43525,97539,38543,80967,16890,46749,66482,50592,76093,82329,51576,15049,70227,31540,63373,1806,21090,49797,46675,62060,27370,73690,79855,3535,14420,27150,13061,77046,71009,8145,61280,70956,926,78777,64190,29676,94473,98143,71,2861,39690,89526,98654,59838,51490,63538,62925,78266,46590,77829,85717,13871,37563,71371,59738,70870,17347,34102,95075,20105,2262,50937,47478,98163,42749,32585,38131,42350,58493,92318,59013,43215,89756,86665,88658,99343,27133,74980,22551,60155,20259,88191,75328,77868,95862,46644,26767,95895,55127,59991,27721,86933,22196,75286,88242,54034,34825,97649,37716,29097,45886,66198,15024,50894,43991,26169,98667,57205,66590,4691,65833,40245,11665,85174,39092,31457,66266,50102,71757,63280,66393,17073,82648,34073,75575,52784,8987,29579,20153,70930,59963,88189,20517,83906,10720,36005,66462,91261,65932,45433,1159,1431,50820,82412,65640,65602,35057,32948,80007,53270,31823,96870,94211,28740,83372,59731,66567,47554,79597,21304,23767,89353,70318,8870,94584,22604,17885,95058,21035,53535,34903,93233,75674,3956,47465,43064,46185,20167,86807,46012,33785,25770,99615,73937,69815,31984,88077,74218,72704,82990,90820,22051,69566,24508,71367,37612,16656,59947,59967,20892}
Returns: {162603.3432, 8473.737177237, 121.21494940360225, 1.6887856402393573, 0.02725053478128183, 5.300910822428798E-4, 1.0264439711902039E-5, 2.129842891638639E-7, 4.563313462714386E-9, 1.1735933014520187E-10, 3.076894885222479E-12, 8.996737264092388E-14, 2.6295249925641818E-15, 8.075841289432088E-17, 2.5088625728476484E-18, 8.121770322758727E-20, 3.011155058112607E-21, 1.1344442023494527E-22, 4.3389808433865705E-24, 1.8511608856610187E-25, 8.73153080348501E-27, 4.585830173623544E-28, 2.4262981000870353E-29, 1.6192739913282183E-30, 1.080470342268754E-31, 7.228145254832344E-33, 5.371709379250247E-34, 4.079481023356784E-35, 3.3034125197608846E-36, 2.704202217209554E-37, 2.2781277300166742E-38, 2.0219907922056163E-39, 1.7957767508674554E-40, 1.6079132803162697E-41, 1.5073085215035736E-42, 1.4185423400174264E-43, 1.3405019228586144E-44, 1.3090867967943673E-45, 1.2886762389722779E-46, 1.3189895921727532E-47, 1.4181886763376367E-48, 1.555984953781369E-49, 1.7282152317146292E-50, 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Returns: {45622.60164, 630.295690656, 2.4953242032547203, 0.009312025789560193, 2.9658335570941924E-5, 1.673862166973008E-7, 1.282383685418381E-9, 1.0188171690669532E-11, 8.911773213034281E-14, 8.500914892796507E-16, 8.221975887286082E-18, 8.026790725164974E-20, 9.376250370596135E-22, 1.300156192490992E-23, 1.8751922098991271E-25, 2.7186924522943698E-27, 4.251091907987828E-29, 6.692252098378893E-31, 1.1772413806322177E-32, 2.111208629958431E-34, 3.8091287038643093E-36, 7.222888305646826E-38, 1.4116282956912907E-39, 2.764362691502942E-41, 5.9205822848649425E-43, 1.3179641791661561E-44, 3.0493683425343716E-46, 7.188655424557509E-48, 1.7279170181871013E-49, 4.173580808276697E-51, 1.0418462587973478E-52, 2.62487651850452E-54, 6.8728655703652895E-56, 1.8309929827241003E-57, 4.929902711876776E-59, 1.3623270509224614E-60, 3.825530730480835E-62, 1.1115433514339778E-63, 3.3045918900857702E-65, 1.0031707396066759E-66, 3.106146866473243E-68, 1.0028641895655152E-69, 3.452744346548356E-71, 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