{"data":[{"name":"Protein-protein interaction","means":[[32.90565734315358,29.759793613649727,26.109658470830045,22.905456042565973,18.577496695915258,22.915297458850056,20.543964221123716,23.355454396118617,24.472150569149427,21.92642206352301,25.072281874341993,27.541846149822064,22.503486189845933,22.59886451116527,26.067637245680125,25.174048430957406,20.804322177775926,23.093907506556583,22.323126102783345,22.66370067579445,24.4716774960349,25.67701202427187,26.300960284739187,23.9419610638836,21.251279091510074,19.606252857037756,17.70466643077145,16.878632189733768,20.665725409389548,22.841382839665865,28.582451002899166,28.10312437611906,32.67447782948947,33.95847814662897,29.922622278045438,26.474524037433458,25.414317569767967,21.594215621230266,18.879672667471997,22.223007098049738,18.119102349243786,21.53528439273876,24.933401110440713,22.58129017236979,23.64242529118233,21.75734648486727,25.969581639716353,25.37024574920013,20.486120802658288,24.17075364924266,27.636586549924015,28.971252914660894,29.943138556791972,27.665300220299144,32.25534657209025,32.751263667389175,29.046447271948054,31.64640566471412,35.50679821293627,32.237250198997884,31.465701227525315,34.4791880237251,34.37311422718513,35.28994421017057,31.61038421044717,28.90575960615718,28.369805130519033,27.644249099404615,26.518536350010944,27.516244025278187,26.875182921667736,30.34493218532637,31.296515054740304,31.64458703673868,31.251189417295947,36.419451188534424,32.7395294875333,36.46192118782508,33.53527686846208,32.448589621429356,30.748869921855768,27.84257119825306,27.50912710875704,25.3595984412594,20.988965064908847,22.965266875262277,24.979171052293086,28.6213403969503,28.4132598470033,34.01104634417788,32.87164066437696,37.15012476454752,35.517828559729224,34.88656222044462,31.241215542206156,33.96952234870474,30.809966545422768,31.564353802388354,30.148742131288458,33.303220564304695,29.987203336651014,29.335281165422607,26.934874483618017,25.588811807773094,23.97816325447586,22.017187726519772,24.501529957640436,21.87644115908188,21.225224480829723,22.490954185623266,20.509360854768985,17.20279010584231,18.080933936682804,14.09182062719389,16.152257212237167,12.976342720012017,14.760301829801078,12.454248603557394,17.680440874069106,19.40955801396663,18.55146594856689,18.27838823034327,14.76460712301475,14.61809747142751,16.207702103675434,12.215666363306289,17.170523793672274,14.466548707648517,16.06331213900226,17.100240594614345,16.031980365264666,19.470183041020693,16.367580940255902,18.488758483174443,12.85354420702368,10.86796466484453,10.390146384937259,6.957360942680562,6.128488164043172,6.444336767228842,6.531631373062546,9.43597686958955,11.61731903088923,10.097926963537123,13.207026848080732,15.2865364442887,13.510715022642117,16.888286819015647,17.88573843786806,20.39779254131742,23.216273250066234,26.78028429273597,30.405799764642914,34.35038001314914,33.190167775115626,30.518962872226687,26.775680705661475,25.451512501005947,23.42060414597881,20.787757564125386,15.572290707401033,16.9269925453021,10.956788501969504,14.341706520131439,11.3054265316,6.020674894045453,9.191439971498546,9.50993546363546,8.9510359041613,5.106024314766856,7.523114445195143,6.931638660424353,11.632534719983136,15.098545012313933,18.161873983792148,21.8419120079797,22.49298597621877,26.343604079504292,22.416731518879523,23.357049881885597,18.585327733593257,18.98219235302297,19.79671297989539,19.883079168497765,16.359538124356614,19.135090237583878,19.12381993203084,21.954102303028787,19.305626927597558,17.52839948091634,15.934555682454846,15.695960765835416,15.196104975789977,15.357477074635803,17.425702294719198,19.562886627933654,17.085393847319164,20.815891124346948,21.81705922637956,22.26784692275661,26.849618402246072,27.458066411751556,23.98576343576466,25.676905900225474,29.833357406742945,28.309111902726876,25.55208301915304,29.951821854620736,33.38491607005383,30.16207953235436,31.35749976111345,35.0786793807164,34.37483100305713,32.540134199215686,35.782516185868374,33.323891568533675,38.355079018217005,34.71055423074276,34.04566772146865,37.88794610865966,39.86430195918242,44.1598609517391,43.53606139981609,43.2226548767079,40.016646689863755,40.84450382516709,37.33464669650119,39.25359405226442,39.44832060229474,33.628119362762774,33.71659940501601,35.97576799616741,33.07039132354219,29.714481428200465,30.40553182059011,31.299059445729544,28.59471376804152,24.130638738217748,25.38571870683428,25.797335858557787,29.656795664512746,32.15164407966406,33.73141117641077,38.202034602746345,34.939634195997314,31.406857340917167,36.179132814613276,37.16751579990337,32.52737869974925,33.19195704892082,37.28588408589369,36.65037087581689,34.328773229278525,38.561494885520666,40.62468252324278,38.249170647707246,38.7118437487662,41.80281960410386,39.349887906890984,39.94536223604662,36.84022096160887,39.04222263890686,40.00376319662936,34.53016258607552,34.71595968311606,37.02582931983129,35.23379734709131,30.956818900745084,35.401763112699456,36.16643881271868,31.049418930224252,29.822939084611008,34.62178297246689,34.559030975360585,30.999670533704503,28.52030299081066,31.65385786698231,29.9023306249074,33.236966261977145,29.311904883141622,28.405087118494265,27.144460454765834,26.179836732865823,24.206530861508746,24.557885268389764,21.915042978936143,23.723439375700163,20.114355136078174,19.787507516791113,17.387130563861785,22.602923756111394,24.852354479569904,28.632719527179034,28.63017084682958,25.05184944282311,28.73923007561079,31.656770239899927,27.631485552260575,28.1167484084624,32.61949437175481,34.611019525437925,34.78876815279939,35.353553787782346,36.634267825005146],[29.598006907030182,26.43541811158934,22.863085773200773,19.600606832346887,15.494553644289956,20.192234252337943,18.2697295324333,21.51457115912441,22.73812643950937,20.71890956882802,24.13336773540513,26.6412395200774,22.074196648435365,22.034192719304702,25.98976659635512,25.35520497500631,21.247973812040392,24.127013945219772,23.90983971920629,24.59362631537454,26.73734940901576,28.321815614372603,29.0298783976124,26.808783339756463,24.056214446652383,21.95600058406275,19.89329160300828,18.379661561886987,21.841411487373744,23.563732763489654,29.33712009173385,28.5948392087236,33.193466007158776,34.95286470483376,31.028181631890337,27.816252264296278,26.52709357375698,23.42250568869435,20.969913449237616,24.740995833419664,20.839631333408096,24.13983590893331,27.73454282524206,25.570083589520806,26.912320549984305,25.172063156361837,29.363998329783236,28.53796985623709,23.62800579898422,27.398525995276646,30.753075461816803,31.85757087720654,32.87503399949991,30.270468578563268,34.836857236858904,35.62658874954964,31.854728900066036,34.155002428980985,38.20892551255714,35.217725274376555,34.27537404092726,37.00814017017643,36.59989304168701,37.73332260489041,34.21060186989316,31.23216184080429,30.433871903598803,29.27511368571902,27.913401375543007,28.38523176220996,27.73491083833773,31.1790774381846,32.2679028863295,33.12406084354591,32.5933017082573,38.05687109855539,34.604614398137656,38.19277727187626,35.426386068537674,34.65217576795315,32.67350300498029,30.00168260754611,29.147864991262328,27.24095764220877,23.101443661414788,24.734515594423684,27.00777682798116,30.184862814338945,30.184600023172756,35.47400288434085,34.218334685028836,38.466398163600225,36.481904860703146,35.54323785436178,31.60489697466468,34.10734941130399,30.64940488717999,31.53832400042195,29.782523638051266,32.63150315515907,29.956459948251787,28.927526003065996,27.198920968621668,25.368376097885285,24.254134134382692,21.577610867824497,23.904182102864798,21.13278116344059,19.78502243461438,21.23796323871594,18.74596564621515,16.025806071118385,16.579217368470214,13.008135984169916,15.597392173461317,12.692856840047146,15.350951042045253,13.490812638675344,19.248101555503002,20.369541387858984,19.051588585650784,18.153205634135777,14.223204016612994,13.466024756283264,14.428327713864915,10.310916809589225,14.819275750569163,12.636510528036428,14.41304579678914,16.44260775101849,14.810934991689656,18.778700787474854,16.34668204652673,18.7029110214642,12.887303125494016,10.391146474449824,8.50769344754032,5.347475239624398,4.661408401650464,7.141530096502027,8.275339350959005,12.2944864285203,13.881030744617881,11.881650119668093,15.348333533144087,16.626791118490928,14.272461699384838,17.001590651769675,17.527638957082456,19.401019178757387,21.964234066063533,25.375794939833558,29.13426983639557,32.74369387270715,31.98725397800861,29.637507057687216,26.078206464076413,24.74387110438463,23.272845078529237,20.464024556061258,15.835271563746828,18.01749585225035,12.391101042195062,16.35338859658035,13.732208926504086,9.007803692625727,11.260652548945627,11.763323759452533,9.913434991576093,6.085539820084518,8.140283802322147,7.872777289463008,13.091581612933737,16.337583545811594,19.355702233720905,22.670458245508353,23.26227290238886,27.388282311055573,23.907195339665986,24.63674415667485,20.215453633876308,19.522987536979723,20.823171389616856,21.26552537355111,17.978327821430398,21.459895002243737,21.81916939947834,24.766808872885466,22.23887360276496,20.430358602530443,18.535966669952778,17.9736869422183,16.77481277202648,16.264217179718162,17.804113391326982,19.31931670009295,16.108079901807617,19.624298549162738,19.93502547753262,20.43149377088725,24.812389991804938,25.397001186086612,21.71902586384405,23.097645234365164,27.326282018939775,25.634780585578007,22.492976917575188,27.00794575185289,30.584880566064058,27.065750601849697,28.129089775319844,31.920911129062056,31.23567805978195,29.19488544408094,32.40929369767346,29.958364922434477,35.107015694583495,31.486910189018428,30.964928989929987,34.86761878326003,37.064723541607876,41.3406304471654,40.946936346853825,40.82073671873007,37.80132815361811,38.90264917427676,35.56515002199416,37.71078204049862,37.611511501758585,31.65448732171646,32.1639673894187,34.491667249404706,31.2591059480255,28.050630496090164,29.216926703410163,29.803845372860266,26.733298791295248,22.81548040491556,23.450122963292824,24.465088398285744,28.32342695504857,30.4380756382443,32.29669647885908,36.62964691795316,33.538710621785896,29.750896477605423,34.208821521550945,35.34329698671391,30.615301715224035,30.907406047395686,34.966908799484216,34.27216498603603,31.69997335778149,35.956848603453444,37.988918796700524,35.43221840392759,35.796492850657145,38.97191356348781,36.52372629407176,37.36117376676651,34.46042776254947,36.76177921863088,37.391003968667285,31.820785184469365,32.35714166261092,34.50203729295888,32.494621103111356,28.418284697031936,33.09858444901477,33.546033037394515,28.28564125202429,27.46855799835321,32.32159940599249,31.94873740668143,28.25534569551215,25.484429429596293,28.730286755086535,26.727302987426796,29.986267940486332,25.910601602697717,25.105701537468818,23.75603784747238,22.67429452430065,20.80108455512074,21.307577030723152,18.81510750815572,20.828318318903456,17.184598421950025,17.4223892556751,14.839392281910191,19.841407955967465,22.64272561588281,26.343104016595653,26.589415374444634,22.640205697428655,26.010406000002334,29.132537748492993,25.255994233505888,25.215367965671927,29.732841815407983,31.920047348494386,32.18123312621572,32.87345611499987,34.28894941207143],[25.7803384243089,22.701151409338326,19.627214537203628,15.813247492791392,12.90804399671036,17.7560807407844,16.640886699393153,20.614984713383084,21.517983066077633,20.148751681145768,23.735294842390843,26.500486685467177,22.692940250686362,22.04096272152986,26.616488937238035,26.538451977216482,22.742477342826625,26.110176197071787,26.24916795229623,27.59604610872659,29.883787728466388,32.00723087106745,32.57856916607402,30.400651424105583,27.818991429116437,25.178533142665867,23.296325159449,21.146507476158703,24.29896548509487,25.682803178835613,31.067250270634958,30.3860029454807,34.894150013872306,37.13573176751137,33.491731139604035,30.465629086421824,29.241964677492227,26.797272906400146,24.745459846228115,29.087972758192926,25.219706374455676,28.04518087911385,31.914686543554154,30.093765271629753,31.56188669325672,30.009522585726216,34.2447210205407,33.30592617861012,28.502089388940025,32.41043918931068,35.688396902530016,36.713741195499544,37.63823284004372,34.813257856303196,39.289215258569996,40.17251166420564,36.247811170565086,38.257766595653536,42.45734338137822,39.64527847057424,38.356622653340985,40.74052397387303,40.00260511421583,41.14286246159966,37.84867961892013,34.70002419189751,33.30081307345533,31.773145424704516,29.86737599536509,29.77538040044684,28.917472992145534,32.12762394373021,33.61707181898393,35.093641916606245,34.68010917347352,40.50697380488563,37.52168161897667,41.05448803144898,38.626279912132105,38.296642176578985,36.243339683165004,33.97258272748553,32.771159335219274,31.25779910688617,27.27550800326818,28.401744370918287,30.65730693472605,33.410522492157234,33.302555930337036,38.22111516307591,36.621979496301726,40.65890329561155,38.278414778138156,37.088101368289834,32.817536143463556,34.873621315803476,31.055314597058846,32.46780657109104,30.43348796084716,33.05894098068204,31.33391324750835,30.162711608724592,29.292730784885915,27.190699037667063,26.9346229840042,23.51362601094573,25.72789091844543,22.961500113687297,20.65819927341758,22.155369105494465,18.869611242867446,17.024310121762614,16.624092992906252,13.81275887471716,16.331558140221,13.751469099296791,17.116859868250586,15.494277487270638,21.479114407931437,22.11719797309659,20.092810976753285,18.604603555758576,14.178254833621931,13.040696015140675,13.35540729984507,10.156685801160902,13.83756661535911,13.096388702621832,15.240959149727411,18.54329449076083,16.435297743517296,20.869055443345015,19.33926738315771,21.783098053181376,16.12295081693992,13.189325592588334,9.98453240668516,7.829726935947653,6.650646886147687,10.44896979976238,11.307319654727904,16.099837421598576,17.29460594303686,15.284436346296879,19.153844820032635,19.69031337873952,16.882876521793868,18.897101806080233,19.129389843186576,19.88958994006814,22.2784432985528,25.089568210229682,29.167582973248813,32.004490850928896,31.722522872093997,30.012258997530022,26.695323149967408,25.677974486224326,24.79785274975576,22.253883809560797,18.552883526775894,21.182680428454752,16.12986151658816,20.505530295234802,18.479990723524946,14.03319860618155,16.02331246121509,16.378384366444614,13.87622569156362,10.580880304360699,12.295074897569439,12.117330968290698,17.30741466844211,20.1722693592611,22.910697207004958,25.785871455901706,26.015165299787064,30.54253263920848,27.599909399137587,28.279566104782333,24.33226920834198,22.70285459151626,24.592649731806755,25.371248689660938,22.307736679207,26.149357365216762,26.588458069560037,29.645371347033205,27.223844609558135,25.413722801791028,23.38969887023641,22.659988168542117,21.048758752244108,20.076343175325288,21.07710589944543,21.831716979224275,17.91899951859789,20.97479263058799,20.195008944892734,20.757638619863044,24.621371193532372,25.09767950156566,21.14812528312513,21.905861170026327,26.148343143534674,24.069560349473676,20.154017102361124,24.863242222065136,28.645086923958733,24.397234217536425,25.149173594379885,29.07900978818986,28.311973514723103,25.701657507657337,28.903548967589796,26.539826561421215,32.0135265540201,28.435302962896067,28.381262929831813,32.39511720431014,35.064642938244276,39.22180504613636,39.32757231025498,39.61695636810668,36.993608872020914,38.57317715216409,35.5856985361591,38.05259394447497,37.44742590346887,31.37805437197704,32.581305854898375,34.91268545201642,31.184515551205322,28.333767629709165,30.18274907427563,30.163395589251994,26.582176404217876,23.74346338185903,23.435368189055144,25.438785015958857,29.182977518984163,30.645860025543087,32.88980360137266,36.91332617425036,34.09214460463921,30.01658096366806,33.85064015113276,35.13776107674853,30.314315973198806,29.996821856387786,33.8577014834037,32.97396087512101,29.99934616774945,34.31485411716465,36.17706434833209,33.182771885163454,33.4632615896218,36.83283733716752,34.46885348423142,35.82762057214202,33.37740770408086,35.8571212133163,35.820531877408996,30.126758578205816,31.376423595552225,33.13622649259819,30.7054192985797,27.13212074029173,32.13322125675224,31.88487660184144,26.421381059375435,26.453748417636056,31.224311097320175,30.165170258568796,26.25018372234121,22.893452241492955,26.09922013384902,23.45712299150211,26.691487712930975,22.2702819640321,21.976711540346578,20.322130359703152,18.716555759616075,17.3106721140008,18.13414625924837,16.285807918304812,18.937604472386507,15.43144611813102,16.94012414887883,14.017529688632358,18.153571746598217,21.940582769870915,25.397190440355885,25.894879927252006,21.343623379872607,24.05797772351104,27.39380028229763,23.660674306824994,22.581865564849387,27.16482440872508,29.567883003694487,29.86567954338878,30.75971134616412,32.36599704718782],[22.572651888278013,19.39540322892925,15.731683465883226,12.694701887194402,8.207584747742533,13.046456161026654,11.736299214179263,15.384290958425751,17.093031568456837,16.359159661833722,20.116030489943565,22.22691431618913,18.8336693875915,19.105627709775728,23.52234919195459,23.160923276409314,20.054608766996285,23.991766002163203,25.301876302337476,26.205807196751444,29.207975123506117,31.38241850635479,32.59425311500363,31.023488203660264,27.854731919827046,25.01292177476309,22.330008374133428,19.57072843415469,21.868710047643525,22.332077373484225,28.106398071231947,26.542435117660606,31.03050248838602,33.73248440593887,30.112722381331313,27.647013718334094,25.75467747783764,24.45232797275263,22.69317896131326,27.188899528993023,24.00860467495916,27.042421465390426,30.877466849488602,29.230505748149195,31.426965465785052,30.296382001022977,34.349769645028104,32.6657213591956,27.911023020541524,32.122927140715845,34.89089965762785,35.33767934131864,36.26667053500991,32.814203825927834,37.1418959761194,38.666884255286014,34.79421409652282,36.23362182649141,40.703708574944415,38.59173069760986,37.29184245546915,39.267695765633064,38.14889700510946,40.00268452350187,36.91273669366008,33.26353102120076,32.32133996494268,30.13891078470313,28.81799225545075,28.11269254159233,27.850639917069984,31.332022758226604,32.17012377880248,33.97299108744178,32.75886711542371,38.5563587274796,35.49384647969307,38.55065344694523,36.108522073359964,36.01444137152814,33.367502789187554,31.33498966979416,29.349672713259842,28.17590052791944,24.735667396404622,25.430644117804203,28.20690403327795,30.16604275781526,30.796282607669838,35.19657384997871,33.93370223871012,38.12536865792326,35.478384356197466,33.83684104757912,29.50661078106568,31.62688076820684,27.79983970825895,28.48821656939076,26.058478999307816,28.103654968108835,26.6710259615417,24.911232497005376,24.569899804182132,21.982376218917135,22.209462352696054,18.337225426914397,20.621010234296207,18.191981347368827,15.491223235347196,16.616855607763604,13.118664321954254,11.564268085856725,11.316386966582499,9.291557846016916,12.965880954028638,11.620153826994256,15.47799327043682,15.422316665189918,21.392015295323723,20.816645421460127,19.173904640926818,16.976005680199563,13.413148780424777,10.928023606831243,9.78666761302793,5.6160690402229445,8.135637454758822,7.509223429604994,9.989610469178313,13.84662010208083,12.484799602444896,17.093301472672476,16.44533933406713,18.041363202357005,13.062494230783914,9.456177257761887,6.930379164653448,5.293074542646146,5.999921818746645,9.510719992784018,13.015812063791609,17.516714625529172,17.46545285935133,14.549217187978657,17.843700176778324,17.3261693317566,14.227319725329526,15.07422783304344,14.445987393190185,14.892404713341438,16.733833810621665,19.769145110427473,23.590960373362467,26.646375693820357,26.568289002157307,24.76311183968668,21.709310303251776,20.360292704074592,20.08079494550892,17.181829346439955,14.354274741209876,17.85123904278021,13.864890580041363,18.333636845552892,17.21962736287962,14.364388688700979,15.660635276779503,17.451245238683754,14.584572839979064,11.26072197996469,11.317552965521605,10.432188617711866,14.911310898359625,17.00084938846901,19.37480883865356,21.624904494630936,21.91839422329626,26.429632556105776,24.146674570135186,24.55347362881485,21.371952246960362,18.575607140058864,21.32822626899942,22.817804707218496,20.054133708476094,24.328592284564852,25.120190837211485,28.39361095740308,26.8045448407998,25.25995208217447,23.27955143242795,22.263444863719986,20.390046352149444,18.77523053427394,19.30064765259229,19.92897109803966,15.614097061973538,17.91992773231015,16.86922381251714,16.355283038967194,20.482277989475733,20.2322666703768,16.20997295492292,17.86601311414086,21.80702466200384,19.32460515495476,16.36059885120137,21.111511501233526,24.18504438006663,20.242871042836484,21.632853680908312,25.353577659727296,24.22886643971085,22.365743020611443,25.94404493038123,23.86283926749765,28.916543998534635,26.400274028603835,25.55384243830549,29.28503982553858,32.050318295250555,36.34909337808146,36.360355325803724,36.07699733996531,33.376451397323216,34.76767385904415,31.453130544871016,34.37021779081749,34.14351210196405,27.8748593648393,28.998382359774823,32.03482359437179,28.544868819586824,25.400739649081807,27.49815570957443,28.321375384243638,24.699956434749673,21.548416741939672,20.411340285412468,21.579780965760964,25.282785671871547,26.309424675882255,28.173873597765308,32.01301889542912,28.91358784326358,25.046758946096507,28.89012068117986,29.80983663892393,24.89889874456559,24.942903751137237,28.673482066169182,27.680765331360668,25.015382558682496,29.515783137365926,31.24990045834791,28.40079816852018,29.06226077694383,32.437477428318935,30.276655331554768,31.460118276510812,28.83226441129159,31.653280730019237,31.930610262439995,26.19362942898653,27.499204483470216,29.804207756513737,27.51300150625556,23.938633938723587,29.31803200587066,29.59756255746448,24.181279667825102,24.239734419097303,29.43355323467038,28.824237617607785,25.015143509721284,21.597916315459752,25.74097558896181,23.310822755575984,25.642501662894283,21.055432852242603,19.630775372077196,17.44024734381435,17.225232600190107,15.80640760513245,17.415726605896328,15.013232526061223,16.352798198837924,11.650420700434521,12.665137274922268,8.829793648125086,13.090302913798178,16.398501130738232,19.977971665205583,20.197507460948827,15.791658166026862,18.95908247715643,22.078051139038642,18.25860441811855,17.87772712248094,22.445624304747824,24.676394043047274,24.992645243200233,25.816755549254758,27.379356990180494],[18.312447639837885,15.369889480964911,12.909749175591442,8.268316654054917,7.182582748902542,11.009445196778296,11.091112940776865,15.633790908593648,16.315374903851293,16.39390331209839,20.049734250476675,22.597493172155673,20.331088235900765,19.50468548396116,24.498899446788343,24.964435677200726,22.252052608904368,26.41743992139948,27.84240039479909,29.593254998896263,32.52454361342669,35.295091659949904,36.201152996074285,34.61511180769046,31.789694848468088,28.430964274056006,26.217839677718512,23.02428409995585,25.06846945054348,25.384613594976845,30.263903399949513,29.14053202558944,33.34736824854981,36.437875858382974,33.28990302137339,30.95452733860551,29.47297670340744,28.640602760926267,27.349793460077517,32.4316908629662,29.099762460632448,31.398818682992896,35.52755607907481,34.32377435423711,36.48789542180955,35.559588246722626,39.721646979480816,38.0340306724939,33.47680466210285,37.88082122065208,40.618529650236404,41.15451890305499,41.84872644013305,38.33216411762562,42.50560701056493,43.893803522102225,39.81657764631881,41.006285364773255,45.53697216360353,43.49612087398792,41.72567675193397,43.31864723130486,41.88214380536373,43.54642246220293,40.745088125245054,37.05798282669948,35.289420102330894,32.85065852933114,30.794037031499705,29.537340432855654,28.930982368584374,31.974834743596013,33.37444174881425,35.835523650047364,34.9529039471586,41.08676168133124,38.69455230237149,41.75133095382344,39.806047694572754,40.23465024388355,37.75981291102894,36.251386256753065,34.19908370682796,33.508679044280285,30.103393189377165,30.234295621613956,32.66976414686036,34.31563448863016,34.505952780152896,38.48057563273525,36.69366386016328,40.47777248130497,37.452950817002346,35.65745973619476,31.04641501279798,32.50014507295387,28.33299580400379,29.910394666513277,27.358606926467697,29.289131935042143,29.068097986512736,27.56921755323764,28.12843457856466,25.71586371369041,27.025870830171716,22.741284810634223,24.998258822501306,22.86304287217173,19.38658115305027,20.215022332676952,15.98086785773071,15.428036755200708,13.565835867017391,12.669456949247765,15.121598657617765,14.108737481003413,18.13946842254609,18.046018890396535,23.839838280930064,22.955637943543426,20.533693775152642,17.915060643199794,14.101403989018285,11.676299331578997,9.993810278908459,8.904206542259303,9.912861920448098,11.796929565094086,14.45630488397738,18.997808720011125,17.554902380184952,22.183539977587053,22.163919041474266,23.710103158087858,19.04537925839136,15.408863330702129,12.578308960592217,11.30041628068107,10.56488848757973,14.254953723825794,16.485579131300845,21.474369071660178,21.29692597598845,18.778408762128034,22.478042756493206,21.516763411584922,18.278762161375013,18.615820785341835,18.101297882207028,17.080893617643113,18.866958611515987,20.608874898977646,24.87702413882994,26.59345395702936,26.9910338501252,26.194715724725892,23.484290643611093,22.906130369107686,23.0950098256341,21.11305144234443,19.331157917843104,22.552505992585495,19.08624833895414,23.731229478971855,23.105223607411798,19.944251499778062,21.641188388689258,23.0011701013098,20.06773039348549,16.825997899207756,17.3368807191519,16.443959296093762,20.90124488503454,22.7240307108995,24.681963986739287,26.55522906991335,26.19710593485178,31.113652204831197,29.340492917057325,29.916829405457584,27.176222416947176,24.02648111730271,27.225837880928285,28.8820901949653,26.179650361949843,30.379018418038044,30.929416446337367,34.29652272787821,32.747158497306444,31.211986306573007,29.258440320778856,28.24422580097824,26.33811220877426,24.67324391480335,24.984361367485135,25.12121910649861,20.52450455191565,22.348535922997897,20.274313760369505,19.772055189834514,23.023111221588195,22.475536693975517,18.35026063693721,19.214761860266506,22.85101060444843,19.70855252409754,15.904937184016264,20.764633546808238,23.799020488135962,18.671163707219367,19.686953744610406,23.50813037578681,21.97774090673199,19.223816599427085,22.982341428705585,21.2690649557528,26.761232980642127,24.686839652352887,24.52357316523574,28.278916734391288,31.782223537628695,35.81159739224982,36.57689856029492,36.80736415514276,34.69912517473827,36.65397515676051,33.80894900221162,37.09769330532858,36.30990905718068,30.061011042790597,31.967421186324046,34.9653296505112,31.013539802467466,28.381790688907063,31.142249908225473,31.28810099259421,27.2272484393193,25.365192145780583,23.282222276918727,25.42246742784818,28.836824692487138,29.026836503964525,31.192565225744346,34.49508979055649,31.7100113409944,27.72669431732691,30.62287666344324,31.55138791602048,26.641796575772062,25.9819741372906,29.18406605940907,27.80988831393137,24.73402433912028,29.32558755140683,30.624172655903084,27.050258452740305,27.81551835145302,31.501291292215612,29.628406208719493,31.59174017352534,29.674476605254185,32.77173988182631,32.13602083345399,26.35628056528644,28.707112380776586,30.48702898372755,27.656018897937408,24.965891575068234,30.635504235920486,29.99501303924995,24.475227470287617,25.722627598946666,30.63989123765492,29.138308384853012,25.15357458717326,20.983184703020505,24.966428956682435,21.607365634040224,23.68859164941482,18.542987995128204,17.908658475666936,14.863292064594713,13.998030620079485,13.78206234179149,16.11945583687914,14.946834833238453,17.019124618108336,12.785898672066075,15.491925081014932,11.535636116344198,13.55747171570547,17.97450093130647,20.97962931978911,21.251930990005157,16.218776573157392,18.28801299298627,21.39823308117455,17.669146744489737,15.688313478202021,20.39380599200274,22.704641146175955,22.945031923274993,24.040881043149295,25.84183005921307],[22.853431145126834,20.18940142388551,17.807791000383872,13.104829988811712,11.087497865238847,12.737850403813173,10.510801616305734,14.41577058695504,13.981041898507605,12.205495427424026,15.664550455208888,18.82717110560217,15.501175761440564,14.122004678676706,19.04989157838609,19.56138249625303,16.289032391334167,20.172032674580326,21.30238287589227,23.326536820015523,26.14105910396235,29.156258161555815,29.955181970725434,28.52026778097295,25.778660828412818,22.157560251592518,20.182747517785323,16.882808598489838,19.108331877148217,19.989344061722296,24.503466395093554,24.155492989338924,28.38481004551584,31.038925329215413,27.938542910190208,25.22569814745007,24.3954100167427,23.064079644542424,22.03284688582089,27.624603267694376,24.048637163352385,25.59177432940175,29.907644175698177,29.171128921255153,31.374759737737403,30.924133674460908,35.10982399949394,33.22052090440858,29.102321364410717,33.95934169645719,36.42988476711109,37.15350925750964,37.37328264335383,33.91856811786537,37.884903737263656,38.85879667476425,34.5619546081276,35.6592138963067,40.12878758972068,38.0393428631269,35.886396326692314,37.295230031540065,35.822238366880526,37.239002421047005,34.54207344741671,30.926049857431252,28.815643265685168,26.466562113503137,24.230397654992935,23.177781716200442,22.46854625691296,25.598638736853093,27.00808672225946,29.30361948165353,28.63860474507578,34.80117322187587,32.53308819915793,35.80954008893828,34.02191579041756,34.58823939094425,32.563626115767256,31.361005631213146,29.873487651886318,29.512528152099105,25.776861601915634,25.483227232657526,27.298764300487836,29.245992553736933,28.730719051005295,32.880380632278076,30.7826025096413,34.46381406435069,31.615757121119827,30.16874694433115,25.649309510918837,27.25259862387038,23.224050469587578,25.22949494966497,23.24970057382565,26.223694990599462,25.176336772946634,24.905549925622857,24.579383189477667,23.443142336434175,25.00783214995501,21.52833255170538,24.818863421428514,23.27165151849993,20.58505223835026,20.45138091851883,16.51415501697484,14.009076627430439,11.415308408904759,8.973948622816634,9.708427098133003,7.957998146643501,11.799245724356952,11.696144297642086,17.31248730764411,16.42652607126275,13.941087511861419,11.519510480683273,7.513001920966229,5.416462178039635,5.64261846185036,5.8687616635889,10.47185278333614,11.557355416727432,15.11524624131519,18.59998411716513,18.747738804562527,23.191850287510025,22.378753477001993,23.05496265346166,18.431065084883336,14.124072409551713,13.517951960718273,9.770674070453508,7.178618214219555,9.817366785681484,11.636632838218738,16.41472978756668,15.531018404898434,13.27545385640111,17.12960364324476,16.054028817448863,12.93787572512473,13.862567454311478,14.553627340377453,13.985382928564695,17.251113435863996,18.840546834499683,23.597171641150194,25.666107261457164,24.89813426222684,23.737144341674316,20.326393607879105,20.440155827092006,19.364261449133846,18.548913992313526,16.140976034859122,18.04925416867757,14.71973454005533,19.406489945560836,19.755702839942536,16.947181794897634,19.81810758704012,21.623340459515326,19.75186176753427,15.766705075089087,16.31666612435677,14.046783124197837,18.118485496347883,19.668726435402267,21.126532668994987,23.28697745953709,22.113428326977736,27.46344773268436,25.500216371960907,26.78240042543075,24.137399867875374,21.94400668263652,25.613158677308732,27.366643503161797,24.17509745853368,27.39412992400772,27.06875611841682,30.628732176559875,29.663207445201305,28.500304965591013,27.153352281409592,26.511643712942288,25.520133514296255,24.439529874729338,25.424398900710656,26.539737645897343,22.42248619586513,24.688043522025513,23.60966980407865,22.487031238889532,26.579627898133914,25.54953155819948,21.489794601762977,23.59836110396532,27.106117173494795,23.774599741056335,21.117050445136258,25.96458660237032,28.324224406623706,23.590920919089466,25.2332495968014,28.84441735687994,26.783091481135717,24.652774696801416,28.793685499033636,27.34575672754088,32.57741626076739,30.97428008903146,30.398912660844648,34.00357694130525,37.36406506967442,41.50484580711697,41.99937403595868,41.71964572507123,39.278367950295355,40.77178982600371,37.38380606536257,40.67414521867675,40.5231285580077,34.19222174367639,35.43843435418783,38.76297247760954,35.26897859237448,32.15059326052082,34.3534663264339,35.279731185286344,31.570833190119874,28.532280195245402,27.139384393255785,27.975612306593302,31.600720566058882,32.20230947478835,33.66805960392874,37.13770380288283,33.65139464069015,30.219255338330786,33.743378961205515,33.99388206729735,28.964607826998662,29.337717499909832,32.409254078143405,30.81158955645421,28.439580942926586,33.3270344578311,34.378682276609325,30.914839674699532,32.38967630818129,36.09079379199385,34.45359895497158,36.07850804403432,33.75138172001674,37.04203785087034,37.03127618124432,31.25618623886909,33.20717020051502,35.553153418976365,33.01720070723105,29.943498667194753,35.59490703020039,35.574519466853125,30.097351815470432,30.73279479924855,35.892123266729065,34.89060554442951,30.968099418079518,27.069215220181615,31.124013691802293,27.997985305280945,30.175929491258426,25.070173554718377,24.095166146731867,20.858846724271135,20.4907687314335,20.15176755982115,22.356595185265437,20.696875372804662,22.35018757196773,17.438604620491912,18.89017678900557,14.261996948138583,17.16409797873364,20.21587183241419,23.65764320624852,22.76526392787393,18.324572420866296,21.649911121903298,23.90830536726873,19.08110769627936,18.87159604876464,23.79004040824522,25.163269862158504,24.8891962779297,25.59139003939929,26.965822267026407],[20.56291707564682,18.289555201323257,16.650616512150574,11.720042973082531,11.135278735475381,10.498126964455155,8.337514894186574,12.218602100282691,10.751728632786964,9.52376787358171,12.82475705169562,16.128909728418183,13.909806483999851,11.982336666968802,17.164101631176862,18.23050434064942,15.791408613702314,19.961060180520573,21.80588946525454,24.16865977670912,27.210373720556145,30.62134556147479,31.518681876829568,30.47000469826318,27.750519400685622,23.776460712047655,21.83182289208347,18.064403684002112,19.45624584878769,19.734194334361977,23.490157771686977,23.173670138321313,27.06915509020037,30.14109431610081,27.50022556028156,25.20756394373761,24.485455097329886,24.100915984460798,23.6585892353268,29.607355813615108,26.35858419950562,27.337334923687955,31.729065239536013,31.47139336422385,33.96855639490212,33.92856531962407,38.017504389725765,35.767060286604405,31.954763863170868,37.041976361712365,39.17440455723521,39.698405208461935,39.68847957526849,35.949399385025856,39.62717075055664,40.7428484558756,36.372433536184715,36.96250912736528,41.52601070713425,39.87472509992547,37.3663359990459,38.22763375010013,36.337321416168564,37.94171218770926,35.633310761527156,31.811299328040835,29.35100764299429,26.509407061901552,24.099559834797464,22.28545014353769,21.690339805331483,24.57367646142058,25.97200964384362,28.898824318047517,28.062034988792526,34.346921555175385,32.60550890671966,35.594852187863346,34.234156279644225,35.32729884218854,33.24031847195279,32.62475770769279,30.834890114852413,31.057413236105504,27.66280799577971,26.691431679226984,28.35926726541308,29.651710601983787,29.08341181169023,32.56155070913047,30.228772711535953,33.59829612110651,30.385396366672744,28.65404556203779,23.97058621925477,25.073161926860376,20.842473011598553,23.243192002695505,21.124239881799003,23.938963614573574,23.82320458953929,23.800607136468166,24.2280518422907,23.346635480253216,25.93998739182639,22.28301722656189,25.733566266669804,24.718750863394135,21.67864339011211,20.9233351270007,16.699164761260327,14.663853382289712,10.914621426134822,9.85262230439212,9.539455917638026,9.232958299791523,12.792927687359452,13.680841894657993,18.522906129576135,16.67743014538652,13.979229723857875,10.90767146878078,8.067083974718662,5.517219870116444,4.252751381063822,7.773426808035761,10.587055896527643,13.015897098003347,16.693725724563464,20.379879372899662,21.094348791128823,25.440735685242522,25.19698006672117,25.32893819368031,21.316929896418387,16.8722409975542,16.64648406883161,13.34211013121831,11.156260079662012,13.24484242270685,15.218846806081256,19.688968766648003,18.12586122229019,15.922777117865353,19.417000295028448,17.527869428309085,14.477750809389349,14.316825236605915,14.835995186537145,12.999024445656321,16.19973242590406,16.6798354968226,21.709640174461832,22.904047540562313,22.215837659933594,21.735282127416305,18.624295338294726,19.41639232291186,18.732498910477798,18.811454246555083,17.624219503585476,19.397245134130618,17.24363737294984,21.764088783124198,22.92786520842193,20.741833834804474,23.542130787733168,25.66195357417114,23.732612110877948,19.792211756182596,19.999699994362437,17.50043863493131,21.00925405303766,21.942079663629634,22.80064863899328,24.3564975207362,22.610705696466155,28.160807330313872,26.91240419027939,28.27550859305985,26.382189595930214,23.67731642752393,27.984408622126285,30.122809053781584,27.08954241887714,30.225466333797677,29.78973384961124,33.450392914938746,32.9827798884265,32.02978121008137,30.807569530732362,30.110753163370582,29.124250240062796,27.859443289970645,28.636327701213162,29.591867858514142,25.321448558869648,27.09843647921358,25.61917118586978,23.949088171798238,27.747646192572873,26.108918926558474,22.130709150301982,24.458315082092266,27.487642087872324,23.616912038715792,21.4200575702084,26.124625637950903,27.807639438822363,22.786501479351383,24.673554843074857,28.030907752190238,25.384985698602154,23.389113025510532,27.832775206437812,26.907392319523773,31.943700795021037,31.315843595361635,30.657563842002084,34.00470336038838,37.73869633923198,41.75806743215322,42.569958680011204,42.18318066474139,39.99917016179784,41.59283155617277,38.2319629335851,41.90821785977187,41.768966689428254,35.42635725506155,36.89799718505725,40.551040082864375,37.05582290035947,34.02052280364013,36.5319032126278,37.6107735426616,33.776246338880334,31.067071375897818,29.024563719847492,29.715325617273447,33.141471837410464,33.15129039670345,34.4061464282696,37.44307052740883,33.87871690692798,30.702383124743346,33.74437619310305,33.60505893514266,28.60465600324832,29.021888653282975,31.561511115430385,29.607118593992737,27.431741457340504,32.455297996420626,33.04177474148391,29.27440370384248,31.246386574735833,35.080093120487334,33.84491667301303,35.73486717808119,33.68532847873933,37.30802812007496,37.076171688254355,31.378946013166587,33.81974666510762,36.225478096859796,33.57385837447788,30.968877562157587,36.83673748309227,36.698647514940994,31.30553355906137,32.42172391858064,37.5884942429812,36.439190709560904,32.55320182356237,28.398013964976514,32.68244427620571,29.29693541957097,30.913531800451274,25.61056873700938,24.50248139729332,20.62299338145017,20.736317524819846,21.028471776813667,23.77898476295447,22.453537889255404,23.7734902099425,18.69442545170517,20.408721364219513,15.477429386691142,17.12474922430132,19.976947450000836,23.08775396583501,21.695343123395823,17.327345710509256,20.435164052024945,22.121654166000884,17.036306084251063,16.817955510153432,21.70218079839818,22.57120400050634,22.01887748497409,22.70037217125896,24.029763604184474],[23.352464075472216,21.49081116123594,20.56776555801296,15.311105662125078,15.652176882737907,14.352202364719396,12.179467838054725,15.415882930186921,12.642034015269408,10.493992316994813,12.800024478776509,16.820222483306015,14.69216900919921,11.291335862606559,16.39653548804395,18.145468190854,15.577690192926234,19.14814560110894,20.409109681254364,23.54697132404171,26.136368469601216,29.952616109966595,30.4045815711592,29.34385019309525,27.13035983432284,22.8918699803232,21.712575480751966,18.056497339565265,19.51397455860766,20.334011291085883,22.898792108665262,23.713724932796794,27.27843029191019,30.027182346956536,27.784736276019345,25.249050124313303,25.40744177131877,24.661581549786323,24.559252438460472,30.80328041857977,27.29263543567975,27.356711446336334,31.87715201842273,32.091762559929876,34.35978477487437,34.60082408414352,38.706903595732875,36.55732804681071,33.154884315124406,38.398461313489605,40.45620073248952,41.24710586105467,40.86901677455711,37.359107722361266,40.823518019981854,41.453018635478,36.91838137625592,37.46096514937757,41.86195097504964,40.06995621612504,37.12224286429378,37.73528515717211,35.77666296937519,36.87590306746525,34.811145185021836,31.24475017789866,27.97707841802885,25.306751006610803,22.152811932267877,20.31562660202113,19.186472541707534,21.57897578363315,23.612804722947622,26.742254364309687,26.5720811509094,32.94787633482226,31.792337965133928,34.99316219514821,34.06943268262212,35.45371170663771,33.950610418954014,33.72719545421521,32.48571416100378,32.994965539084795,29.390406823348695,28.091656317248216,29.034355477454568,30.52347094007561,29.082544982834214,32.468182585547545,29.57313916821853,32.467767473028886,29.297534737655734,27.917684949111834,23.31584252995669,23.988248027181502,19.810956959840887,23.3094956773557,21.791173515961802,25.2814089976214,25.19270737191253,26.203209675405223,26.346751132121682,26.365713698600935,29.202318928409078,25.972145141790616,29.727310541400648,28.902162357911312,26.079160441425373,25.08589292021381,20.99525996044125,18.54120747360913,14.569929786325751,13.119695201368318,11.085531810946504,10.328093965080331,12.825209584175841,13.209845513486568,17.112126359564407,15.470839907752406,12.206541310867511,9.563639103455408,7.0393184689169,6.620396931590911,7.5769956467907695,11.622504377010259,15.081304137355538,17.28787343612847,21.03872643819877,24.39062505457339,25.345002523635376,29.652724857275924,29.06964290026267,29.09650558811542,24.99839674688421,20.515347049833746,20.588121681581313,16.690361440762977,13.712711622194067,15.237035674889308,15.76778268728303,19.901785319572685,18.210482955210438,16.804667511551937,20.374098162373418,18.615294373536326,15.976755142426157,16.246333865162548,17.613951933726796,15.794632259702375,19.518093717241463,19.305799251233154,24.500318470365247,25.141139980974945,23.944478749398886,23.81368414280896,20.58374411074702,22.150434118604515,20.838397635360444,21.931399726116943,20.585656428540133,21.337842678108924,19.312671427019325,23.633223073582602,25.161225618741536,22.79612717702818,26.23436672474917,28.105100331472396,26.663711477989292,22.558650576997096,23.146292652566,20.385374038177805,23.809168593443246,24.720682347854662,25.3003379905501,26.976859788931314,24.63329706646755,30.36739796674146,29.07817744769293,30.88657578733284,29.02982987955943,26.976458577034787,31.315628169602352,33.355637638120285,30.09564250534957,32.63650497388771,31.615187772585383,35.28394139181294,34.94608362729586,34.139658884714656,33.21425952348897,32.760787853692634,32.20178979525821,31.281100555884137,32.350286450603704,33.56625887482801,29.43507320179234,31.44571414462438,30.11890836370253,28.51588361773725,32.36565570472194,30.691594114445788,26.736008038170013,29.047087419402505,32.05077861305153,28.09429979258235,25.830552154916333,30.518633622952862,32.120947783252035,26.911825345070746,28.707512740391813,32.01163805386775,29.163408067336896,26.96882520066367,31.424294219526928,30.68153514193716,35.794152339572044,35.245176498933624,34.8437182062078,38.19082082124489,42.06386427856989,46.0025464182987,46.97245882831241,46.68421155340818,44.57113432106982,46.1991915581592,42.83861265588516,46.520564809190894,46.376964171609394,40.03540105345651,41.496517620229376,45.1109628985539,41.58703255490026,38.55860459597396,40.99483539530469,41.996521756580094,38.16033583082853,35.402988490818025,33.548593553695824,34.22689408543559,37.6909252661533,37.74844568101168,38.9154018916726,41.90511102621969,38.234684816623485,35.20126619912908,38.208605587668174,37.892337786193615,32.92155905600033,33.44005026268572,35.77274249536353,33.659886653372865,31.604204043179784,36.65104135557849,37.00459047166896,33.0574183959959,35.239562130111565,39.13461276664697,38.05992293733293,40.09533573742302,38.15835898905735,41.8415642693146,41.49940925553435,35.8238838335859,38.38967564324135,40.72427149758414,37.993691251725735,35.48897620574617,41.35332899834232,41.05463848410827,35.63021471803086,36.841950561839006,41.94169799881367,40.61247484506159,36.67000173841541,32.41614254744579,36.452960440500505,32.83390442975572,34.60546568016893,29.23782869755285,28.5280957598505,24.553359314685075,24.295933824653037,24.870105362588557,27.557507815367636,26.495771023179167,28.142159725602028,23.20525469917561,24.988324691425174,20.073066483893946,21.667183457233634,24.408826243875048,27.436174506709747,25.741048211831394,21.574451487401287,24.582278464134134,25.92238465546525,20.70518104322194,20.508401265906112,25.25424994434815,25.714626743587505,24.877386010537375,25.434280283565517,26.57932356733603],[24.475480845937465,22.676419354272667,21.401370714319402,16.950320651812667,16.299184215900663,13.876478982161816,10.678107082837633,12.607227237884036,9.330589069577986,6.04605561137183,8.066851951108584,12.185683593825878,9.944643122414629,6.450744091366805,11.632372035468133,13.372684507764365,11.363911095930096,15.242992493141323,17.509884829415498,20.347987871139836,23.401368538456794,27.277897914455806,28.181367704476287,27.696404326219152,25.140426179947763,20.80628728427807,19.203790947008038,15.172150740736656,15.712270336726442,15.972112588794376,18.329499248556758,18.953785989696495,22.42335828933765,25.32929993195494,23.226008565039255,21.016010933542976,21.11835759915625,21.14162306491366,21.53084630134107,27.914805295063935,24.917445173465048,24.67133607716286,29.105771077094623,29.68556225791501,32.39129966229743,33.098482743728965,36.97984891089135,34.31755201266646,31.262521654913982,36.71452492699746,38.28666274963422,38.78102532795238,38.19576826955706,34.3861550931064,37.54844097428629,38.40467020166726,33.89665498251448,33.953849365533614,38.44325283199842,37.16764883934873,34.08630378287888,34.28334722881426,32.022715007293655,33.565060669490734,31.742463060379546,27.875102948108584,24.863427974931188,21.67948741714551,19.027440953035367,16.644601759996608,16.142583425175307,18.879844206767856,20.152499700374555,23.486107963907926,22.659162753781132,29.00069565443565,27.868128430091236,30.753658694737922,29.941740896677267,31.60271413847878,29.932392431535273,30.121606304140677,28.66534823580474,29.647676290156525,26.405747518165164,24.530245799034446,25.40178465067352,26.34778980677782,25.05930042108964,28.01105243736606,25.201560295172804,28.146159988852133,24.818182744855854,23.217723239567512,18.557626500786363,19.34859034239419,15.145005801061235,18.41003984077685,16.94983789587371,20.70082776867521,20.4653209066074,21.95472343637527,22.066560180343423,22.683072688447528,26.057302196095506,23.218270687604836,27.33294215146665,27.129892390402627,24.647002308163337,22.931593943129247,19.215303071232917,16.312054268516746,12.026090536573658,10.982647539626045,7.683220009641187,8.404558214090942,10.273251632927977,12.223275356210948,15.329083542650114,12.443962512648284,9.748770186817307,6.382488186110383,6.416742705603062,5.369830910189424,6.12246335725614,11.048061307377225,14.20005890983809,16.256241300629206,20.01156526102008,22.735289379351393,24.74501232300414,28.67482786899798,28.240672086345334,27.434091307231387,24.0997443353512,19.56923268652947,20.882846713430844,16.8820541137126,14.342220307878565,14.8301817195673,16.352173645226177,19.748792298984444,17.099757235061098,15.4543663216861,18.260927954210743,15.693756958737332,13.315859455093907,12.718801753837187,14.270040722457601,12.166750186562686,16.240146749647757,15.649799580191859,20.824711965500796,21.666304751717472,19.854021653209333,19.54361097636697,16.18227310577765,18.214764752373362,16.59780177550985,18.585086767938847,17.924259196801287,18.165363757760037,17.422448794630522,21.323334153239863,23.82664149713397,22.57537761740101,25.89895945953339,28.425145812665633,27.238370842432914,23.13500423746788,23.118137228337655,19.829798642299714,22.291319314876162,22.4734340166499,22.37829179077068,23.59447894990011,20.7470445315079,26.524273928341632,25.741785351228955,27.708967865662444,26.57186306643047,24.45917866989673,29.29201317307249,31.659581669058397,28.525342741345433,30.689385114187935,29.494542281158306,33.22948742301745,33.64256505353189,33.163760989172275,32.53414629430081,32.08107206738478,31.780509181214303,30.845644537698444,31.90980954203458,33.38127852536717,29.47827092375681,31.20788759800759,30.191937647070027,27.94877719954635,31.998571503481116,29.818478388657205,26.111445003469434,29.192841916163232,31.842961676531196,27.768797145074213,26.53273276127128,31.034785578470654,31.94865433994191,27.279279561436613,29.58662135115831,32.607926208594044,29.469970512253976,28.050470091526268,32.707331129998785,32.162126864962964,36.838882548658106,36.93179366304142,35.96026132741068,39.04916147708329,42.79370777101667,46.80999035726749,47.555621547263605,46.74855501600675,44.479420976352756,45.77057679803864,42.08852233345483,45.90898227111938,46.23276801271999,39.91462939709866,41.0224896390736,45.02269831577419,41.88372426310023,38.60816967586779,40.86551640847437,42.541648635711034,38.91761558319918,35.662977469398,33.771895487255826,33.531734332635466,36.90134202335153,36.88842335765794,37.503613054852295,40.35103431189231,36.32160555498441,33.79434873642262,36.94452878763072,36.10301086430305,31.21937249235196,32.39250365719042,34.48546680999117,32.26398690669143,30.79751083182186,35.916196073941904,36.08305070999855,32.40153285894796,35.04725652359724,38.84426104807028,37.989075506731105,39.71081315950636,37.54331961977177,41.38644330753346,41.50162411234211,35.949982894482154,38.28957265800699,41.07451666650504,38.60959504525002,35.99622245877769,41.874974811378706,42.10877321333692,36.82891171693293,37.75625682351977,43.04535369625809,42.17747951536132,38.369145171590816,34.29995338582466,38.73863128227191,35.42155113959358,36.84561772697159,31.53620462791974,30.15543401245822,26.049727237101248,26.61228077066747,27.00043735694152,29.849215865168873,28.363653877118853,29.29795070244957,23.9325473145261,25.00456762441999,19.937374786863455,21.451516924626294,23.122291759519463,26.153018077816,23.756728572799467,20.286549554717723,23.878314054948813,24.557602107689526,19.001941252097538,20.153165384076715,24.712779614385745,24.568922364427895,23.51519402755225,23.77878355762078,24.604388090886836],[22.012820091331022,20.679934096264784,19.99938845423411,16.171589345409686,16.374266703328747,12.126132424116754,9.500219470811668,10.481242731461034,6.048913491739146,4.9075028068435005,6.082264674139774,9.621663863731436,9.904562759707483,7.1136420021723845,11.619514596325352,13.688449923980299,13.386117577953119,17.442471151865455,20.677925561482308,23.253720119961127,26.61861044194301,30.520148652939543,31.723474496076516,31.625852359135425,28.925698241381063,24.603963195464914,22.72398170697119,18.51825068251195,18.058388143999743,17.197163315275674,18.955048799412335,18.901900083969227,21.85554648376072,25.4319633263201,23.83528551939259,22.46079729520511,22.17643277428626,23.536275113184647,24.3192439722759,30.612243009378766,28.174213873936182,27.9223613892501,32.19756315240498,32.961523927396364,35.99560060382917,36.89314716857508,40.62026806004564,37.621256146483965,34.67309613593368,40.14673074502754,41.43103472467771,41.576089224280565,40.98100173126293,36.831550501387554,39.74997841057083,41.014552795327326,36.620126119888,36.160024644155406,40.74049597584796,40.0409084358005,36.899182520171124,36.62446966658009,33.980869993812206,35.98018122701183,34.51749834705262,30.41203213648955,27.577965536666685,23.88245585045214,21.61116470985314,18.422465102778972,18.432183896758946,20.85021364411991,21.663913065994766,25.54368770235361,24.15570914130668,30.31908507128157,29.57346412575907,31.866457751556446,31.3708113054177,33.44577700323148,31.419712887474866,32.04836054623286,29.98525342173697,31.410687803723995,28.752058199265786,26.439811649968124,27.53048120930516,27.552716864632256,26.767296929723464,28.787574197681444,26.1105633840309,28.784774451259377,25.042680714328643,22.87345963561714,18.153987658906512,18.325211781237677,13.976557037423335,17.064573260418065,15.111543105855855,18.06770200919133,19.286361886567178,20.53323770209904,21.8102926614465,22.254250666588675,26.534082644020977,23.419270205249195,27.36318387358291,27.62253990552743,24.80118723656483,22.640567894474255,18.8688108598072,16.88091714089385,12.152145706436352,12.852511723377841,10.172380301345974,12.230406010319015,14.080503311954772,16.706756615362295,19.404398261637372,15.80478637620628,13.624703079076667,10.210887376419828,11.141386730078708,9.380912483603396,8.119779508204964,13.333082731734871,14.446719076737102,17.38933421299164,20.904382142759893,23.818545359141197,26.0991754018615,29.852896973070237,30.10856733626255,28.92335545959044,26.23605934174234,21.782850205429323,23.08043576891225,19.803979011472382,17.924489383905815,18.606440745351517,20.840759196145665,24.224834943627148,21.365831402392097,19.436668909647572,21.790211697527397,18.6463458156966,16.33866494728485,14.508069745591776,15.190199660983659,11.830243959988934,15.025855142280541,13.098491699323604,18.220738262432047,17.96372019913151,16.470376661619554,17.08887463307742,14.487294085086488,17.02443385811556,16.394472684700688,18.835496760323096,19.608459995670536,20.287301634303628,20.536474849737417,24.228099210304567,27.06249952481716,26.316222156528458,29.18001314292782,32.00188078187428,30.477392610423184,26.527569223462923,26.120679466210294,22.94185621675659,25.026224279328872,24.716851011325936,24.234708750544563,24.691137813189634,21.696821502360535,27.299055454789404,27.370389959603035,29.091256192369702,28.7170792546745,25.816205776177572,31.073987538271634,33.79407644227861,30.99290498458638,33.39610526960391,32.471504248903344,36.21551502641635,36.97295094318093,36.57453745384415,35.87355829436146,35.23369460966293,34.681080331810755,33.40981708935655,34.12151274059485,35.28141973133489,31.224926986737543,32.386015694776425,30.96024187012433,28.253073894165762,31.87282676170973,29.161501985015658,25.70040267703517,28.90535207405781,30.981706929237316,26.561689183600887,25.96086426016005,30.109330444593557,30.26669171083604,25.652371315627196,28.187605557421485,30.803828123527754,27.215579152595577,26.20348614419616,30.976974512135847,30.937533473170834,35.175871958631404,36.26965860181103,35.096548134791774,37.822985019423406,41.794194864528414,45.650488673149276,46.62975615349198,45.65703250646269,43.6541538429915,44.99992668576024,41.39764547788797,45.556695065291436,45.90053072827211,39.6748158618218,40.984955885732255,45.276847901611376,42.19796187984296,39.049352090490316,41.60384763824728,43.439014227341616,39.74568439781127,36.86926575427753,34.33010138057922,33.95887163750988,37.04125491527947,36.40989671940217,36.8159686043327,39.15369876040675,35.16471467594581,32.93812409449901,35.50768939637263,34.30216534869442,29.59554365481511,30.784549618287702,32.2852352143283,29.78191397779064,28.61453226250438,33.705372734544795,33.41736427471772,29.61004863896712,32.70246115156374,36.50064147259577,36.06224410353641,37.9377224416682,36.0567021918677,40.145589874716094,40.101541961567676,34.76896553284038,37.47818910541881,40.31596837317884,37.838494899927625,35.70008458574115,41.667822287566466,41.873509701422265,36.801591086475554,38.10882936343504,43.35122893895567,42.44904247818564,38.7698793051793,34.606769388938325,39.27876751997752,35.91006063924774,36.698775336912156,31.398529437633155,29.73970340809189,25.266165619281846,26.45308511327765,27.24680528188117,30.483347532424474,29.19983997612254,29.657011754661486,24.298112869627516,25.48530553404495,20.44833150668424,20.755036909548526,22.021800002960717,24.547411741968272,21.75973389974195,18.669295528118777,21.860303079749357,21.840837831012788,16.37202136941457,17.72151906785916,21.86272428171211,21.10896595639487,19.7958992706891,19.978033896355132,20.69415428008516],[25.219293822236605,24.12290678097892,23.592475757573112,19.93900638174012,20.04076164632714,15.610740846922322,12.816464238100538,12.801886649992257,8.090131806473943,6.091568663466005,4.707188718243551,8.471875853930511,9.388604836131709,5.821170004430817,9.183209706913223,11.905952266895792,12.37979728112488,15.824952188942683,19.264233689723923,22.038777093519975,25.280043656514387,29.37993946780529,30.548782605285005,30.81215556023395,28.305552692034034,23.918331967232294,22.346541444374417,18.233468239878576,17.165943541407426,16.236188444770693,16.619994309158745,17.30349468928237,19.70473925438233,23.135863094348032,22.080328761310668,20.901891771998084,21.21679873483143,22.878717282711523,24.170146082197476,30.52298424600266,28.295924172941294,27.30760538888505,31.48835707001756,32.753693947495165,35.839527225405206,37.14699421822148,40.702366949467844,37.52133838787072,35.06298996045293,40.65118716444256,41.60650053196886,41.74308173003421,40.81009400499036,36.6909034028919,39.24152909003964,40.32178631976651,35.91285266253887,35.10868449204925,39.56519345962189,39.12473380305163,35.65613540409371,34.92132997654144,32.04428021221048,33.973807807606555,32.897913223677755,28.850508656794574,25.6931514719526,21.827732629244533,19.477494110801548,15.84030691024504,15.997099959063489,18.075695830668643,18.719175014505012,22.917590304506433,21.53814584518136,27.595559376365358,27.390098097413194,29.516746386665638,29.475005901389977,31.942634359065888,30.23934538419608,31.40918998174864,29.60072077301497,31.475190923335084,28.975565942319562,26.17625856015763,26.716999405953292,26.459621828258676,25.203906251382897,26.70009179261042,23.70512799028188,25.934771709634543,22.099435853835434,20.004382768293834,15.403421810422865,15.086830636263967,10.793665460556827,14.74397515566011,13.438761249122072,16.993688305001694,18.247581216568715,20.57213569835908,21.638570103579617,23.039242941028075,27.633838650761046,25.074728238949227,29.264065275512262,29.907441815352886,27.43119412506878,24.894717186285376,21.50450791324403,19.156051088649505,14.565441298107219,15.099859679218348,11.45388708674194,13.683221466272357,14.474537785863761,17.374494820627305,18.873027009436967,14.854690581911381,13.00607012596678,10.070445126832176,12.404570711273609,11.499804101475485,11.115532304160668,16.20988067593838,17.660000722100975,20.250633595921737,23.718619108880393,26.125032805108944,28.9127510494645,32.44695566180333,32.56047103933983,30.97756214665752,28.605671442274776,24.19776942158405,26.06974409941379,22.495663008500046,20.44082616552314,20.524264584391812,22.412453034672502,25.206754932786335,21.951805238596634,20.418295685621757,22.31381286841791,18.97758240567458,17.21036456216583,15.285761148422452,16.466436637321582,13.28497510099674,16.651545542922808,14.169099475378573,18.98639682411111,18.405076961133304,16.13324637255577,16.96529636017678,14.433127717292582,17.719571875271424,16.55260898613638,20.051345873556233,21.043053541682685,20.854393480507305,21.813371489832043,25.047321570925636,28.462729135381075,28.124865324284496,31.21569307172904,34.154076868068906,32.99693991116023,28.99819881859854,28.551508334881746,25.093094074361748,26.693274173250867,26.049552484736967,25.085767250490218,25.336311535841986,21.783415588995624,27.318193212586625,27.68648928033377,29.717733965810577,29.76330800626923,27.279738879063995,32.674518800774266,35.45042613697052,32.624301621487355,34.47154300069576,33.14143069061103,36.85738485055943,38.06445929253747,37.9126619715685,37.52410604390659,37.02158247911953,36.82244829802165,35.74373420350776,36.60980090355029,38.02065027602285,34.1664623590962,35.348078068341714,34.16785657334718,31.27735286752456,34.99928085922612,32.10658720436611,28.807911563057974,32.28372002326701,34.20911235727699,29.780516217733283,29.54240669370221,33.589012419547885,33.4413468294685,29.049182783309405,31.705529628701484,34.16066966068914,30.41931011368928,29.648979985706898,34.43861207202348,34.5439897067017,38.61436400852378,39.9681511135014,38.69136458168148,41.30402651939783,45.251111610802056,49.08815594555674,50.02950461246285,48.87036969237341,46.83038365014364,48.01964314597549,44.28113408577396,48.46975881913606,49.03725557938947,42.85442611880328,43.97292636894099,48.39189227758847,45.489535347650964,42.238114014743275,44.64333051224874,46.73460615085216,43.149716744982534,40.016534658519625,37.60807981818479,36.82946544466738,39.87483176784857,39.269996289536465,39.36180232983336,41.590939886463055,37.405173589642324,35.53748319008237,38.146137206519086,36.59832181655173,32.03316459717071,33.58319447312199,34.845119950626064,32.25225166061475,31.46462919677031,36.51506262810426,36.01876480031854,32.32057459369801,35.690556445005356,39.420694197756795,39.16858897397168,40.94247238301647,39.018207533022185,43.16728359196542,43.29372219787232,38.06803286033136,40.69253340453215,43.68185543726564,41.30260540020971,39.149909633508216,45.086507368658886,45.454709730144366,40.43617804639745,41.63591825646115,46.9176828350995,46.136382523102036,42.485818720095715,38.367255152587184,43.068254643955605,39.72097602903531,40.4836909426252,35.19079042036914,33.47449368905678,28.972946588719225,30.242287695468814,31.045036114709347,34.274452277499186,32.92390695103391,33.29099953200628,27.857123090467972,28.777422568672247,23.75534652029134,24.12568873358491,24.88511428182697,27.327503227784135,24.137735657216965,21.596068826748034,24.909816408496646,24.42031815283795,18.976530149177965,20.89068657239969,24.718548928036835,23.47719864348609,21.93965728764225,21.857650900259483,22.23000559532538],[27.66765148002292,26.628213001695066,26.375284282040912,22.0762751305046,22.61086093875336,18.77270776980026,16.116485870184224,16.81737862549414,12.204022241157128,9.639431911069245,8.468336388021878,12.414705418643061,12.399345473205388,7.7526001067358035,10.779722280005267,13.898856102443258,13.564951967115007,16.173558598905075,18.55801241041745,22.082357847401262,24.711668186826213,29.085321868098696,29.714254219766808,29.78542699896312,27.81541700504694,23.30637857316865,22.51268110879151,18.70832212618159,18.181491012476176,18.188682723886267,17.727837875101223,19.687762228098308,21.901887691508392,24.699279625444202,23.838059146050114,22.154133957852878,23.300343664308883,24.06212435793106,25.348440091565912,31.821236837097594,29.162008486445657,27.593355846011576,31.88020201845442,33.357827553893124,36.07223074143046,37.422533833373265,41.05496689837994,38.16574551923534,35.900035726318386,41.50998161323976,42.5993875520257,43.08329033203014,41.94970232855241,38.1846301359756,40.70643940213606,41.25657697148352,36.72045164527406,36.13758639777789,40.385781090417005,39.572895737429775,35.82508347410987,35.09660588011229,32.34832377706808,33.608932097771685,32.6224425538213,28.95686519939685,25.02064005000043,21.58513709750275,18.34416208220263,14.96850850371751,14.295937313764734,15.746287772466586,17.35793181337135,21.633958700884897,21.224344330389517,27.3582647245447,27.619152240552435,30.137122332132584,30.37513681993235,32.88283362480878,31.805409501900254,33.027705552416975,31.863387168782346,33.65334233400598,30.768841329404783,28.061406757942137,28.025626688310968,28.327267933316715,26.207442314473177,27.960697166469064,24.44364823085021,26.231824723457272,22.63985135695425,21.16563270868304,16.84065771233853,16.197602812866638,12.255283713671163,17.28704847477703,16.74952210714978,20.807633149932453,21.60510810729441,24.469322989471067,24.963991548948975,26.735599046432,30.970931168226144,28.59316680912569,32.88067774385103,33.27170081010747,30.85691240031125,28.577585313151122,25.0792803903804,22.401110902634063,17.90307028475026,17.58345603209838,13.478099438569894,14.673883443772475,14.959301274857708,17.013874072177263,17.874921906767558,14.47684929988995,12.083839917196174,9.913345101621006,12.076063624595799,12.392398943921794,13.156898841614398,18.223592418659933,20.66102416954408,23.046987018105664,26.694635417935707,29.15341961752013,31.652916064335987,35.38340749305805,35.08730145618138,33.80883892293216,30.949962151534073,26.468601254396457,28.10791828067117,24.072566346569303,21.399426022793158,21.462193094550358,22.23620147306091,24.897851792890233,21.84788824431473,20.95397873166543,23.142629860609777,20.300404832387606,18.722174441130015,17.696178945266787,19.51447488866143,16.89291781339668,20.64347952176013,18.476598491548742,23.30860314784343,22.673111322865456,20.312209596322532,21.1089956294626,18.391469539334704,21.671348822712126,19.952156554724844,23.477530529818367,23.692290499640134,22.97945794506727,23.346995484459832,26.620301177148445,29.878543691112874,29.02780855482896,32.60287220911643,35.16744402406504,34.28341868135518,30.147640947582303,30.14491048576908,26.660626761497188,28.604206321408274,28.305192026891675,27.507284183226542,28.20146107515192,24.528980064586396,30.15085807727418,30.081014500690262,32.40130982872158,32.03115426357284,30.163838138001708,35.3066709793032,37.835252146922286,34.747177991852226,36.28727201874749,34.56972037994889,38.25532934731183,39.26162255237061,39.09761479608881,38.83051293884108,38.518885789137514,38.555414255091755,37.75201510334467,38.87425169118208,40.44050618996778,36.59434646922384,38.146378532884036,37.04008528869181,34.48540501940707,38.33130004952871,35.71268475512697,32.224483326845494,35.44010357483927,37.65528212659151,33.27103950018858,32.46479868333694,36.71694347921002,36.96673759843824,32.233872380820266,34.64011274476902,37.29121162438146,33.63406657770007,32.38798716264287,37.123229244282314,37.13411009958191,41.524652803198244,42.47811972622272,41.553057574407994,44.36088877523039,48.39311722387503,52.22229829721595,53.26690990144081,52.363033770052155,50.33186748641132,51.639009342828906,47.961932078002576,52.03991457873524,52.4574262282006,46.203517428239394,47.38149886170961,51.60864947404461,48.537535868984925,45.3080743649496,47.66762651504516,49.48554268560869,45.82588471012037,42.69173297527341,40.54086186456722,40.08043431820457,43.28104740909732,42.89155154569555,43.17813267927486,45.58028418853626,41.43085534509259,39.37210086565956,42.09177082005157,40.7238013653317,36.07680757220156,37.45028489183659,38.85909555050611,36.28884281056924,35.26456623921218,40.33699188529151,39.89727768785873,36.02836621280443,39.2463483697851,43.0601567047253,42.71299386956269,44.64034447202244,42.76662902147061,46.85376602344879,46.81316815382444,41.464070028665695,44.15084569614568,46.964959135087156,44.444146566954366,42.23446832489301,48.191246685410604,48.318400632761204,43.14449790060491,44.39380870307088,49.63703728516615,48.62394872249257,44.844407970095254,40.608086727277964,45.045300375872905,41.48001760718055,42.58051945459923,37.19318396351824,35.92785642879531,31.46102821090787,32.162147711909604,33.05926561737104,36.154023332589105,34.98506150506829,35.852946634620906,30.527852178018925,31.70410224889588,26.626047893586975,27.36299539189179,28.61233249024076,31.192792223071027,28.21836386660566,25.348526933362983,28.554007701390155,28.350813573461043,22.921336799565655,24.260401208753805,28.245612201861583,27.18706535582031,25.653528311187436,25.64818315350175,26.071965381445892],[22.626634326967032,22.019148999089296,22.48622602955095,18.58204527184932,20.266977461123908,15.397507897099016,13.86346472653092,14.648031356854915,9.903563889930679,9.863114362402392,9.365065006430672,12.370223449496512,14.165199215142366,10.747388825523995,14.17125462256399,16.96579216810483,17.306180243954994,20.716353979991883,23.716804736111776,26.80750497353558,29.835809249099576,34.03539598351645,34.94470221873872,34.94796137530257,32.654977779900015,28.195037634465063,26.846874773078515,22.762534359208654,22.09294250943923,21.265169944824812,21.56919452002433,22.221384135603966,24.398504127660328,27.966141221797283,27.098637694624884,25.981248107981564,26.2332816119203,27.812559014816607,28.9123288543354,35.29192278934972,32.84064162067626,32.00697380246061,36.282636281915664,37.410426165432746,40.34288927698501,41.42782180233864,45.13600288307505,42.1548775747138,39.46700666180572,45.003838302169406,46.204212347087804,46.41844713907656,45.606277702925475,41.52158891084488,44.20216767163165,45.27429357196358,40.83521119535737,40.14793210562596,44.598939886450644,44.0226749407193,40.53543267255054,39.84800448682623,36.98709811825054,38.71586395365873,37.66611189991718,33.73862841885713,30.28661440236182,26.584659783125407,23.807518708203524,20.23205858507322,19.93520865371489,21.445664149168753,22.720122932694284,27.10427426746397,26.153380686543738,32.17117157867333,32.275220874415496,34.39601520029221,34.502109405687285,37.00766526361414,35.31303165693639,36.403917917947865,34.483539039881656,36.223502804505536,33.65001659406522,31.054183071516128,31.726274585570142,31.505461191935474,30.26912977555934,31.669745651500126,28.584010664624287,30.514873961488362,26.623170168549915,24.51313887120986,20.060620443545293,19.18755713584514,15.08822446954608,19.168116789198976,17.643779724614465,20.331918713493636,22.603931675588456,24.33431946098357,26.06148816909798,26.83926772586849,31.509636911275198,28.41289536884095,32.25482953986005,32.64474671158966,29.627073574851103,27.41144441649632,23.585338656367476,22.04803167534003,17.28803612196659,18.192203074908875,15.325270499025674,17.08279321641011,18.515007792268577,20.777376267812215,22.760322398279232,19.241009172710132,16.847469623792662,13.935418245246987,15.04306552840103,14.051571801834907,13.162144131087551,18.40041496776351,19.178502705172537,22.4756161063309,25.927558887574023,29.025508924978702,31.15735599864328,34.960846087563034,35.35418788597507,34.21263609253202,31.518507892647403,27.05664112023167,28.02616954799266,24.79755609343838,22.67077132758672,23.52589965903735,25.10809496258061,28.479107162871287,25.67553617644834,24.14503448008647,26.547362077071625,23.45544296742698,21.3604778064496,19.6074473949818,20.3780558513155,16.809316016459384,19.544118461750095,16.69410458934458,21.431823659814654,19.72615900763068,18.44854193952723,20.14919719779193,18.241919813988723,21.30095943217527,20.89647322681315,23.826329435691413,24.906514132924887,25.330477807254656,25.696837896665333,29.314897399338896,32.239281716614975,31.28588167333947,34.3330012991931,36.974781787154654,35.437488043540725,31.43983111969085,31.238172531843155,28.121233989615202,30.331180603611312,30.01594563965733,29.3960550591845,29.6878844419047,26.421768207577138,31.937687422120067,32.29953966055632,34.12347847598737,33.954571738539535,31.073729460126163,36.39485440197487,39.13929331754799,36.330439729012475,38.622216668574666,37.51507888126542,41.2508426843533,42.06496091639722,41.7005802102102,41.047915135358174,40.451894745195574,39.922556652750174,38.6591120419293,39.34726234571992,40.38580092703433,36.20348751520689,37.27959024363752,35.55221693697461,32.8724957864566,36.152985215684495,33.31002495266359,29.932702429078546,32.83255951692365,34.65261171730545,30.03085941506668,29.33374167571261,33.28428782929434,33.15581113796851,28.247951282269113,30.60543016639989,32.974018094313394,29.073498694912523,27.873022212388005,32.58443675566269,32.99341866951903,37.10389470268794,38.751260317270635,37.86654044953166,40.41658353799644,44.706104261085166,48.330508154756814,49.70547428884386,48.91240727777868,47.241945552384514,48.79900977203553,45.41217406959981,49.747667037024755,49.89939904359328,43.74356643040175,45.342341272707905,49.645636086929954,46.42567784649282,43.474737163392255,46.26259247233953,47.87779120124491,44.03722308806124,41.58464469312443,38.74465515087682,38.67605764987434,41.6309629539757,40.639771974252696,41.08152444582688,43.065634444011174,39.22860793318689,37.10759775868273,39.147687932656545,37.80225496345974,33.28074755654894,34.221799278411126,35.21913561056703,32.47797454309738,31.361069791596773,36.327773826827425,35.58932719451931,31.47319997352426,34.80967098030941,38.65417165715651,38.57452617275866,40.81156041354696,39.35851834846452,43.572188988075375,43.11524394219448,37.94270773208187,41.10342263037329,43.71472522253769,41.06034273941046,39.395437990771825,45.41066593884362,45.248406880376514,40.25064613843667,42.01989552279054,47.105608905073986,45.85616510568974,42.17669478612759,37.79886792686199,42.30924672307805,38.62085125599921,39.17163503399099,33.82662919219413,32.52755587533749,27.80951856379693,28.836308000050828,30.179803179203883,33.584765407487104,32.78059011474642,33.42303189585268,28.332493548453314,29.95563003371436,24.998554677701158,24.61743159600883,26.08026159318256,28.163038600522942,25.334029832238656,22.37771773782265,24.819395011612496,24.384573247213986,19.35265742778663,20.022361971736085,23.658892690535524,22.43025339470545,20.835734629463087,20.987888280443794,21.593782271371094],[22.77456917088708,22.013476895639034,21.85392662387305,18.883369421114256,19.473898854551017,14.070121101512909,11.99256771556525,11.296586664659277,6.457356359404789,7.116157505134706,5.8381012782698045,7.749365530417647,10.775521800556298,8.792028567395327,11.438119071200138,13.790450139520296,15.13711990946317,18.82355718446149,22.75507551417862,25.1348121786944,28.62924751476916,32.574922507239755,34.00092393851151,34.384535154940295,31.668975851924596,27.37874018608599,25.45149808438795,21.24977938852975,19.82430931682144,18.136226133355073,18.696681869571744,18.394667499504013,20.487869420164085,24.469484713424446,23.61128471798624,23.06417546523445,22.76900347057605,25.276251396858825,26.591444992428777,32.75075694990883,30.879670818555624,30.25774284131897,34.309763841156744,35.46218544504571,38.76072932434666,40.02150049602789,43.514619691792085,40.16407932953384,37.58438377682616,43.108629124218425,43.972968964531304,43.83364730757554,43.0490616009349,38.67934276315963,41.176972022884144,42.66312316030117,38.39224624869771,37.34493560668195,41.89074090450661,41.79979253855994,38.480586762028935,37.6062647098095,34.57364531324437,36.90544382611512,35.927191659897616,31.706917542257596,28.944026907610613,24.848970249176336,22.9503128700175,19.09608114247895,19.604463611900332,21.594615025525982,21.8615309521778,26.161512408884263,24.315384003825333,30.116326917352954,29.92788778990388,31.598996873285305,31.581848392565092,34.14916548511839,32.021983492481056,33.27301501196796,30.896575385694614,32.89754823333212,30.816951028908765,27.946719464042044,28.90162706252806,28.04536299862387,27.458152929196984,28.41389093155487,25.780247046618282,27.970764820039324,23.93169736621106,21.35251850068211,16.858068383543085,16.24556313422711,12.120656580893911,15.125109763537926,13.136106910793913,15.458302736179483,18.049699789297286,19.663937746767367,21.769843520254106,22.63598618165229,27.718693528154848,24.826091518472502,28.705209696234874,29.58013582956343,26.811504066370826,24.10085321369304,20.700063703629166,19.217009854534645,14.577878476889525,16.236782188494015,13.516850541248937,16.260299669861542,17.533448412503727,20.67379713132832,22.53791567158446,18.3582690385041,16.7361277475432,13.602006590317378,15.558820099646272,13.920103114573733,12.403211976072534,17.35813488724416,17.37309750474115,20.505966582419315,23.698990780526618,26.314917614950527,29.10345706816746,32.50611039317946,33.17184879718183,31.451944836199708,29.492312772782917,25.201230373581698,26.873532496038397,23.9297243274506,22.389236901348603,22.793385639023963,25.30008154276797,28.328557004258684,25.113585352535537,23.209836773109295,24.98463067111119,21.406920743025623,19.491066218933234,16.890810017050022,17.22573791187731,13.325078494918966,15.664404326894553,12.299261195367427,16.845276921999027,15.290642159388968,13.612495349199698,15.301233670332687,13.638107916868703,16.936693260050564,16.843674570859598,20.156514456095955,22.08779120552348,22.552355770342604,23.88107499990773,27.106836277738747,30.48278382461137,30.358182477897454,33.01388298388852,36.12073050549002,34.60347254372926,30.757341556053117,30.042371841787013,26.786688456598167,28.2731850191972,27.412219624720354,26.370211065931286,26.122654588826155,22.778109721382048,28.053517869514618,28.962291287307107,30.642069979518872,31.104338406619558,27.919045490307834,33.497293086006856,36.4887040306513,33.95102242121857,36.17025977174261,35.2229718925525,38.92755505630848,40.211826568220204,40.02363469214148,39.46529087349662,38.773313799746646,38.26327421972691,36.876998571248656,37.42431351139621,38.51743946859803,34.538542539291505,35.27462781233238,33.752067379444185,30.598558432686378,33.91225068761559,30.698844257219676,27.629679974383492,31.086567951106854,32.56516112313518,27.96725908965258,28.188329322218,31.894431621258278,31.206795477800014,26.95164034269739,29.72794541744565,31.842698483691382,27.855195174225972,27.43915975482987,32.221123136912894,32.67409034268151,36.349232779127995,38.4071826326849,36.9738284876095,39.28944860056354,43.3509660342839,47.046075742135365,48.142862404878585,46.883741284371524,45.06425626235143,46.30955289243149,42.69224236054255,47.09827871057383,47.633354478814326,41.57039037971406,42.86885933722303,47.44798985390971,44.584791991737184,41.47873541913177,44.11925542916122,46.26669021910827,42.642944545680514,39.87174789390834,36.9748022752655,36.189192403216495,38.98474620022914,37.904757484867126,37.904025237502665,39.73354098141515,35.678131756270616,33.98839022065434,36.09873824863617,34.35768986804247,29.974914944997852,31.44289697531657,32.26566502609019,29.508829391753956,28.918044908374767,33.87096680510457,33.0664924399537,29.32572171637118,32.953926629685895,36.6387990333652,36.67717642370695,38.5478822483017,36.86573653111788,41.14422881989286,41.13135585475172,36.12111760872235,38.99472668927311,41.97502894365837,39.60839315181335,37.832794864526115,43.773100317113716,44.10962482683284,39.29886766889205,40.77008068382367,45.96500921191111,45.16791854620672,41.65247929122392,37.52343707519035,42.36299375440067,39.04557621135822,39.32024102553221,34.12106907623885,32.184553515377004,27.52550536280499,29.264806249760912,30.302922432033473,33.755297881081916,32.54808455876027,32.5408997017254,27.22180286618111,28.232274888396404,23.364257431008454,22.841158823079763,23.33376480329158,25.32485786493443,21.98618775330963,19.76350900880581,22.634731099340062,21.654202478342977,16.496888411630206,18.478767924367663,21.846908926560072,20.189007487629446,18.51173617467643,18.381782943732002,18.69846689807616],[26.249466430314445,25.955976920516925,26.411663145866235,23.294644289596686,24.488690976481784,19.009211315063823,17.19644018934732,16.4178874503569,11.659347462049508,11.679162387187256,9.264218545441217,10.830165313095963,14.25202335615288,11.519025527298473,12.752575478708128,15.749183466155214,17.60646301027994,20.368490095030257,24.023759271287904,26.841738741712778,29.931959573779196,34.1412771653726,35.29485996096564,35.92161586254499,33.63926561944328,29.27224985495436,27.931068548766806,23.944825113474963,22.233726481197255,20.75327100637506,19.530340373510352,20.315046124136458,21.463732855481993,25.12968131289069,25.124434485303283,24.781488153167405,25.286340443893213,27.86321349449054,29.60073046874433,35.81208053166469,33.983193537814174,32.55253963050911,36.52771887369654,38.192637618349664,41.38859158798859,42.98848742681892,46.37325607372746,42.98550750730581,40.86894907673298,46.483233850717205,47.12979792698719,47.08299807820993,45.946199199777446,41.71289934146185,43.84154734591822,45.01085555147903,40.71447977052881,39.376042882202746,43.700483377987766,43.78568182630952,40.05502259194391,38.662440225494,35.403731300650094,37.41596742274457,36.95308842108191,32.97688795669817,29.605084063053564,25.54227456840371,23.260422946003537,19.065915234644443,19.39786488819816,20.45574369593793,20.939227086979013,25.65124215090571,24.219864622908368,29.719453662211382,30.479376990037284,31.95024075145964,32.63598240677739,35.67553635709612,34.06598816731375,35.896117651279276,33.89461841501431,36.288119391150445,34.27587789583714,31.030826413180044,31.329757596708596,30.28651853195813,29.026554205640615,29.2983858531244,26.19373577919216,27.49864648034613,23.414384130067557,21.067243250791822,17.07571407928767,15.331066708731319,11.800771568087383,16.00530223096028,15.008039108281645,17.524992543138882,20.52631805680671,23.13825578515938,25.14252505500877,26.797437268245332,32.086128932553564,29.57320303279598,33.55048649447303,34.62340347776317,31.975966860848366,29.12694272613175,25.874678598430936,24.265780123962312,19.678635802929342,21.02200692123095,17.656129451193763,20.09799466343385,20.667713079360524,23.592961557619684,24.4167575966992,20.25164825204111,18.659611231376783,16.15448450127276,18.660271192424887,17.846778045118967,17.053855574713122,22.168185469152814,22.587380549452643,25.651231609616598,28.888637650729255,31.34966946412742,34.268026677982824,37.641616219804625,38.185790187049086,36.344774553658745,34.4140044626657,30.091932402922826,31.866593655233046,28.630323820385733,26.724358222499323,26.925380212565923,28.77153309223049,31.481795803973892,28.13392371876148,26.729714036764324,28.363534681135143,24.837413156943605,23.315870819964417,20.954410862779874,21.750489266949543,18.08477630434443,20.464157067375666,16.713774157525094,20.697404326896923,18.26667068542944,16.248246617686917,18.5467654311775,17.29766696120428,21.109508609019677,20.65828093472893,24.67932556199665,26.604196615763158,26.388621142174046,27.968659863930498,30.944943755133973,34.630382347203025,34.50924931962323,37.488191116615155,40.50936929273942,39.236160421577964,35.282735753264134,34.73643705892601,31.333856278438642,32.72647088022905,31.775370311587846,30.462061150591694,30.1390772701447,26.366686145042987,31.513249260330603,32.63006084880157,34.59066956448666,35.28595219140778,32.49404138820441,38.10710299437051,41.083303354205526,38.46473077701436,40.25535809353106,38.91235200261944,42.58238880944582,44.114109257118955,44.077858342382314,43.74230597309244,43.19019809711406,42.93506440072312,41.71601133837482,42.400712958203805,43.621026591222225,39.68397435986787,40.49219776672132,38.988815374363156,35.829918039005165,39.09206125188159,35.7966852625995,32.80235176101306,36.206387295370796,37.56741042610389,32.90368688579162,33.12120400391816,36.74097167209447,35.85838819873895,31.53656759283431,34.223727050172926,36.17382412767804,32.00671018542157,31.529366439747445,36.24815770256518,36.96366039325985,40.54196620565708,42.91168000528911,41.632418345140856,43.84083450330553,48.048136150142746,51.60927961592474,52.89483356828565,51.66529469243768,49.98727869584956,51.261435005523566,47.684561446064244,52.15975861437907,52.70569056837679,46.68817234160786,48.02049419453917,52.6363201638573,49.77233772476904,46.6981122326685,49.35051411908986,51.48783464846394,47.83490962935499,45.09831129835255,42.19836317087166,41.39631660216616,44.15277373586065,42.97869857089556,42.85655920731149,44.48702849291149,40.413776211775854,38.94733395201117,40.853157959818034,38.89262991689466,34.6976212090593,36.2082771762953,36.68407250459371,33.79445359056591,33.403158120813615,38.23453790091297,37.103794396674495,33.28571953602627,37.12725574935339,40.78252427199174,41.086667692583,43.09224829654932,41.60597335451714,45.94773627902088,45.8055503174059,40.920436834703494,43.958961041171875,46.878729218838835,44.45891385631223,42.876147859202085,48.82544828666257,49.03351279857183,44.24817230042218,45.877582036553015,51.023007951033534,50.08362172368547,46.54994119007701,42.315191072607824,47.04765966628975,43.54235568833363,43.77537116264053,38.535052053515486,36.832697633850145,32.06546141796978,33.63106190480871,34.92761777904399,38.42416247246338,37.4213286568924,37.575154149191604,32.33107296456508,33.45660010235625,28.58052074682202,27.948586323393705,28.41205019800079,30.20310275147952,26.72941730539226,24.77348236173141,27.347405872119488,26.028381039789902,21.188099342839823,22.964080626219914,25.935481395904752,23.860778963631414,21.962510557804144,21.6715430558937,21.71779511583806],[25.335187041804055,25.301216050461306,26.313832513864625,22.90515603538996,24.932857832035168,19.501621729162167,18.24615947960726,18.153612782704435,13.383853045621208,13.728391977793121,11.97036744558331,13.94252569556052,17.038246309981602,13.854866693299552,15.748691174746696,18.83445376498711,20.180004236812778,22.98035670826869,26.18959676889386,29.33377819147251,32.22789751099845,36.546160894737234,37.446469554081794,37.82856413093067,35.733273062636016,31.27889764600585,30.15871827901765,26.181590449732347,24.893205264493872,23.732272761252798,22.65356787894972,23.641623014107214,24.895598139385143,28.469955911093493,28.411509752784706,27.839536647560873,28.429083406426347,30.634012435827294,32.19212564589985,38.51131057091349,36.3907708229216,35.006759043870545,39.111997369673155,40.68049918312297,43.71023166534272,45.148871631312375,48.675914991852444,45.48428750679484,43.207798082406896,48.81438094407911,49.681666236200854,49.77929649419632,48.70153231809711,44.562114426822845,46.83708763860064,47.885958241172666,43.5128899233344,42.36939539383804,46.6832261626876,46.53012274151668,42.7613942685847,41.49831978453813,38.330919474344824,40.07408775530783,39.54916410311424,35.69832080180891,32.025460651980936,28.16496147860852,25.448274411029075,21.43349048957196,21.320660073662665,22.081046740800975,23.15762973791355,27.89774176881524,26.92694911464296,32.50825476860331,33.39198165449746,35.0516454521706,35.761800041300454,38.74376014711146,37.242090402573304,38.928757520528876,37.01009734284686,39.23008112452388,37.002523661572596,33.95064160363472,34.26305224321504,33.4870065271173,32.06495130025602,32.55426436558301,29.305153645148167,30.499068967781213,26.48675508619718,24.316391312346457,20.35685462728449,18.531434538170792,15.057592810798033,19.46057297143856,18.410097255225892,20.726962929736015,23.869942346215854,26.18121067491434,28.28632912819877,29.607772448015805,34.776562416766986,31.962111094745925,35.81029545360351,36.61982069556399,33.68689888322563,31.11463335523501,27.55691369000173,26.20207560944058,21.492008326102024,22.743012286801203,19.58282406113166,21.62588848856985,22.503426684653068,24.978106064622104,26.07943517660774,22.287718051207136,20.25154991522891,17.74931486506424,19.610204162065298,18.913312179049477,18.117203738670117,23.341653200355196,23.749395704868427,27.097308442322866,30.41202362636129,33.27900805872791,35.75805246496199,39.360773309455105,39.925784108489374,38.43264489214072,36.143464451572896,31.739355377628925,32.98688541717751,29.79505630995244,27.708224957197764,28.307589130958277,29.805976889092754,32.83727724126413,29.776342091107917,28.45270994640029,30.480349018669063,27.173892047740882,25.435566936077393,23.369685204072177,24.148347269666548,20.415691424460107,22.754952212159615,19.099620302345883,23.203530572220608,20.425510902961804,18.99061088755927,21.491317729338935,20.28448462417853,23.876469129421167,23.599547968966704,27.239077839618123,28.91211649328155,28.94834654392584,29.99271706378265,33.265530585264166,36.62328488809513,36.02117593073991,39.09655805953249,41.87388128449688,40.44593577992595,36.449640759419765,36.13881199012135,32.89854119520363,34.7417444137301,34.08734919472583,33.05326219615028,32.94016801011662,29.31976829362759,34.587328501504096,35.48703268248613,37.40760726025594,37.79015813525232,34.91944487268056,40.438146184190636,43.3304173615481,40.62556851082888,42.63525434684898,41.34316499613022,45.0448122063723,46.26425503830573,46.08013389349809,45.60409443435079,45.04005453539141,44.64455082651735,43.38767477449014,44.04602509223801,45.107858258950834,40.98303567843651,41.85586008270864,40.087122803691116,37.15296625701545,40.242704612804616,37.08747387894263,33.96756592247247,36.98558123754294,38.411348849293255,33.680782583698964,33.454050392729386,37.095148797189495,36.39432043874354,31.699783344036323,34.13550097088985,36.11502615315279,31.933572134211605,31.065648540137218,35.69904355014077,36.52184842942931,40.222917076358655,42.580434923527356,41.62138357634041,43.86757160916838,48.266991163582446,51.71320543069116,53.253827703153654,52.31687129470918,50.830208781814505,52.34561646902618,48.980070338663175,53.48596667713523,53.746558861178585,47.71373018805143,49.32344979364016,53.804155958665454,50.70758154140262,47.79787353655088,50.640982704488025,52.42893089152556,48.61469099243401,46.235659177643214,43.19302529960148,42.881376289092984,45.65705155121861,44.369172960032365,44.52845958094027,46.12531472912558,42.259059237575364,40.5429118914019,42.218541511423865,40.47688593707055,36.2456912236195,37.35273588006456,37.79503894349622,34.86460225423017,34.173522374198484,38.966065375153455,37.77230479943628,33.68499974682371,37.40464081544139,41.14297866672969,41.473871769354616,43.769276971347935,42.53733127772935,46.87577371434791,46.36773688394258,41.461843783671796,44.78708089842625,47.441854656156835,44.83238206514662,43.47240876660482,49.4645379579912,49.314646488228455,44.49279218442154,46.425428657142774,51.453587708130186,50.198211125443194,46.614334223398274,42.221184613290326,46.76630513558102,43.03502015202107,43.260987004985374,37.986652753716115,36.63718128352232,31.800894262422617,33.06486624323942,34.645999121075484,38.17534374613062,37.499263897640475,37.94057733791269,32.90777097638581,34.462054025176315,29.590593637995898,28.740953713913523,29.749364196006457,31.446139853471532,28.28001379444354,25.93264852633692,28.062125063461817,26.94716185969755,22.305553390312458,23.239074984501134,26.191762680958995,24.27131005064231,22.39645403831548,22.29264308561293,22.529942276690363],[20.98340286139428,21.184089802192656,22.475543380959333,19.76592380298407,22.185367053547154,16.210134006108593,15.794680974208658,15.548876334839132,11.33185754767603,13.391863727824775,12.416627502659503,13.558314945649085,17.34342539310726,15.176383166206264,17.566207238052968,20.14111176506428,21.636220539407688,25.107730495624164,28.773643452405633,31.47086593799173,34.76744942866106,38.86382411938534,40.08087367701482,40.37860652634519,37.89117573183956,33.508520229023596,31.833260020918825,27.656624170912043,26.35620697530846,24.670006748129982,24.655923979190657,24.473911278617276,25.989310406851583,30.081683668403794,29.70505318376757,29.42037282586893,29.188736559359118,31.858339495773453,33.172149029542105,39.33817879571131,37.39945942357473,36.73359895967607,40.822100236449074,42.00371203174996,45.226150490692305,46.40951505404159,49.98093501676032,46.71295884887462,44.054444811691845,49.55825046916931,50.519028766690646,50.37654428659536,49.62332782666766,45.23904561924626,47.70355612029729,49.21751883162531,44.951090678660094,43.820910708154514,48.32646046471424,48.30059407149038,44.86797481360414,43.81482972602865,40.66502188961334,42.861021416449624,42.09993172995156,37.982789706065496,34.88402942764917,30.838955926075922,28.58197189028335,24.587545124368116,24.781219305389182,26.07012044251722,26.789906430323683,31.39978751983409,29.890051046825143,35.503331268586436,35.87241374758894,37.34138153024761,37.68057792715613,40.46515410613694,38.38522429788138,39.78827672032567,37.27110250662147,39.32843784239514,37.340728794431044,34.48979523827147,35.45156357221126,34.398827183871106,33.790222460477544,34.299281215111506,31.54669696328377,33.19765410541958,29.062218455568654,26.440327518551747,22.30387253627155,20.8676859244734,17.216372717150833,20.410617797773895,18.48555891116933,19.64328130442009,23.548234538679043,24.72234846274271,27.622648774502785,28.04566940954539,33.34334719308223,30.05385819533509,33.48467348311893,34.28827379768051,31.025101811275828,28.533078261635673,24.90111785068086,24.403422695926324,19.785286023199937,21.855450197262453,19.687636067247897,22.086515032713432,23.681033884376685,26.38203873408056,28.367028096401917,24.45139710617158,22.456636504600738,19.428808655748966,20.72844170136561,19.165947031083178,17.350065092737555,22.28243550133254,21.435976284483296,25.214555589724178,28.236426146214207,31.405754559967345,33.64839089087388,37.17265696281581,38.24513818225578,36.816952728216656,34.768249001626174,30.50618143638748,31.389975899511427,28.883283425727576,27.343276221403148,28.355213982055407,30.58487048846715,34.02051804348617,31.094962331456912,29.25172064234489,31.345130654180306,27.89252258077453,25.81616650415589,23.29124540242373,23.285010348112564,19.10844538479642,20.563720759232588,16.67562879276837,20.52147452180046,17.188051025915712,16.79876855068942,19.712240261010024,19.085907373397454,22.2141203284526,22.917247122368412,25.877785285037227,28.11512882777577,29.00495318251384,30.047558706221647,33.491166990191594,36.5699317082139,36.02670239934881,38.60435078844529,41.49210860741901,39.62163110251687,35.81673901884296,35.26622685831989,32.32104937862252,34.21903069466924,33.52804201595032,32.65384862209815,32.268775237795154,29.101452203276107,34.204667690097665,35.337650928005424,36.823544306102896,37.3207038363096,33.73172491924047,39.28217358270927,42.30573320646553,39.867927154852,42.42944688393538,41.65830282694219,45.36444238001901,46.443770409147874,46.11863023866612,45.359805061705735,44.569492138467375,43.76156891960434,42.16864895493496,42.485337307681,43.16890603057351,38.90781199657668,39.38108662447483,37.25806553994391,34.21545127300465,36.87373186140589,33.57417506356206,30.637780403376354,33.47830851662289,34.5578162409724,29.76267949994034,29.80645124294022,33.12503121319491,32.084243200650384,27.490689099813345,29.958023108020647,31.673906247185283,27.380310443581717,26.76479016629248,31.347771786915082,32.40855382221996,35.780871088920456,38.636735939350544,37.55506950134141,39.56602126681376,44.02235484105768,47.35464374067473,49.006657543868684,48.05320006974012,46.76677166114791,48.379158015240684,45.197970493622776,49.833323603857316,49.97288651354861,44.07231925139782,45.8927466601005,50.41854745145956,47.31625682613958,44.592625962004114,47.665449369809906,49.39621554045565,45.549001675390926,43.58697565446943,40.11424832996846,39.95342467064409,42.50583113576292,40.82834809513691,41.05331487692911,42.36144338210927,38.74099946710553,37.01652479839348,38.24083656947344,36.53042544134328,32.436077286683584,33.28073992390823,33.45893861663219,30.467606512145743,29.767801944358254,34.44064700253842,33.09742992763554,28.950687861332963,32.73588340011999,36.43901446836169,36.92473805378013,39.320584949575576,38.31755955192187,42.697214701252506,42.01233912413262,37.287387607713065,40.816655966350204,43.385652933875015,40.779729461591685,39.751718502863554,45.69901173696531,45.484188071400524,40.86864327922248,43.03649910687931,47.93837100223881,46.665956751112155,43.226209879499,38.870180713867356,43.51378851788209,39.87557746262367,39.66294858911068,34.53077343415796,32.97283058937432,28.08373719518956,29.766454492162712,31.499264080449414,35.17989798384681,34.62593386718284,34.730021167025924,29.90575851489218,31.588608386389172,26.956604697919293,25.343409782665002,26.308750436984546,27.609938044502115,24.589860607795273,22.33367342512699,23.925262738980162,22.607775102729274,18.392102379949165,19.023183922704927,21.593065966717354,19.536926906653658,17.67054263599595,17.6859778934158,18.112699593098263],[23.268593917064727,24.016796071906047,25.77623425739534,23.643855397140296,26.3085822518008,20.078331866083655,19.95388420712161,19.120596639576373,15.211921116683301,17.452123952191236,15.884003204630405,16.20442961249036,20.765794370290546,18.87614617224797,20.360094985732648,22.96751224090478,25.11715654851524,28.246289813285262,32.097068396373686,34.739883381276215,37.9957331035283,42.11996119048016,43.387511314435,43.94686549174217,41.53596440640542,37.17789384159952,35.57482753554514,31.45329532039568,29.741286087690405,27.75698067146979,26.941101568603287,26.769446225884145,27.570596178473632,31.708049447875172,31.913236399584093,32.11451889592673,31.97583947961798,35.172945764575594,36.76894098492643,42.83313105477495,41.18300983562836,40.24617970291153,44.189934061323065,45.626583236564514,48.95397935793036,50.35456626792162,53.792221810945385,50.35180547492086,47.93774836210251,53.46486759784352,54.1839146935853,53.9002268672387,53.008584377401704,48.54194925564282,50.71426154583929,52.30839137670217,48.13159579790144,46.6473230648328,51.065709976579235,51.40800425845327,47.83930708981701,46.38212275346188,43.011577584792896,45.30909629870666,44.91168912666191,40.820693379857495,37.69480112830728,33.53008207278548,31.427018860199304,27.18450783910901,27.554545318924287,28.407056286219184,28.90030046224294,33.67139910461264,32.05135093325578,37.25457266689133,38.11661098358883,39.15415649177875,39.890233427333705,42.98761456075925,40.94646730752282,42.74893695329076,40.123619124069506,42.51010920741201,40.851123536101525,37.711234597285696,38.521256807072234,36.98697684042896,36.416736259610715,36.20213825693663,33.477522086536794,34.619845809665684,30.432047002442633,27.7046407585661,24.04258926735214,22.004673648754306,18.976917173699213,21.972810415244115,20.307334854058585,20.78309848315117,25.485669287849294,26.842620002199386,30.161551938012895,30.824342251364502,36.46721102053533,33.35118447347344,36.652282453355504,37.78164355426352,34.56255646791856,31.845977698175613,28.48140725913293,28.265289018844054,23.78383881225604,26.134603787981405,23.893698914239494,26.4818553867895,27.81197400849715,30.669558016074927,32.20781027719336,28.111276963506736,26.341730926044587,23.49896225981838,25.1750629231783,23.71898835298342,21.912537943778247,26.78576403623437,25.574889676320574,29.38140598955649,32.2218540829,35.23430690510125,37.67582610439463,41.001533697718415,42.29645518152452,40.62026487805165,38.93489804234875,34.76225791401298,35.77947435593994,33.408768721946096,31.962161678310895,32.85982682517581,35.124971102770445,38.40059078180571,35.31874921616841,33.5415733127679,35.391437785838015,31.781135393197168,29.905596808105656,27.135449513698635,27.029649906416576,22.769238881464037,23.764273657788486,19.38294192441636,22.437009791400573,18.127901582300513,17.924130463104905,21.510056028469126,21.62144911760653,24.964115987545423,25.92915080636242,29.24186556302888,31.975467181175073,32.71579759097835,34.22715364239051,37.442577700892826,40.77880020653474,40.49422374619017,43.00887043697256,46.00923898288058,44.14377778660142,40.37587006643521,39.71316160313364,36.73469097729064,38.37570226127382,37.434485317375305,36.28719248590842,35.54700670890806,32.23321661548293,37.046452110621566,38.639959293780635,40.1007321933857,41.04459319060406,37.35353684374995,43.022178599855295,46.17046086887321,43.87540939379555,46.318435385396995,45.50919244984645,49.18177688032932,50.541945413415924,50.32264308770116,49.644549409343526,48.8374452046037,48.05373511348764,46.40691547558865,46.63568005289372,47.2596653000518,43.03937276050363,43.2728301254712,41.061128342279524,37.829793053867,40.206346268277265,36.66283638511058,34.02618819165597,36.87585586110725,37.5331317765564,32.72006680098185,33.203789354450514,36.13452867379702,34.539259984954946,30.25753888675589,32.73349761647859,34.00571710307083,29.537352674129092,29.288998115349603,33.67126714425909,35.13522827246568,38.00438037296229,41.56801399527976,40.41571193626555,42.074385592122354,46.594220776028834,49.69117377453458,51.513785717285515,50.442772974947275,49.38865416056179,50.97755279222964,47.89482229450017,52.670555775420965,52.87046053617153,47.16090410199918,49.027652685427,53.67940425536479,50.69959653408823,48.07712633048615,51.22760486264129,53.07375941645612,49.263497868933925,47.46989362708318,43.76729190866288,43.44720789533592,45.77645901130011,43.77220092327961,43.76863320254175,44.64652643886176,41.109010921554066,39.759874821338435,40.53184519581707,38.49987245508649,34.776575163999226,35.68324590440805,35.28516209892742,32.16632382097147,31.87110756674672,36.249252797461565,34.45953863816144,30.41762237368219,34.49144932853952,38.014618460673525,38.91830984876528,41.36179992757824,40.638122191481564,45.08132121573148,44.30726845484127,39.93119868197581,43.61097311425737,46.16264701275984,43.62395676871903,42.95263718848047,48.808893157545484,48.584115810359165,44.21226393918044,46.55433243837462,51.337261034684346,50.05828151396841,46.75993850301304,42.43748256053437,47.082899094585045,43.45694404627813,42.878929872267946,37.90157466800088,36.290761716829145,31.3838984700344,33.29989030828999,35.23144284664009,38.99364155398466,38.5772483404131,38.4606574664308,33.78854541664879,35.42393584204141,30.963496180755282,28.893122400560088,29.46955768544834,30.32864936064844,27.14335446423661,25.487116843059667,26.644604211990554,24.729152720762546,21.158430984629593,21.90468922159498,23.652686181055078,21.011504619799386,18.976656921505153,18.768334469934715,18.834552988898807],[22.66226709791571,23.907693279847145,25.974455910387796,25.01431493691086,27.773047666602018,21.28338041429264,21.84708010657196,20.409291993638398,17.485380690784027,20.669562964996167,19.288131451953006,18.548181693582272,23.724157494172978,22.764851216553524,23.94509978909212,26.110830370283146,28.71909797212651,32.02429089659934,36.29784595536152,38.51064045615784,42.02751283830765,45.95015499013585,47.51973302685951,48.218352282297495,45.547232632274316,41.30762551356536,39.33243526466725,35.162985249755856,33.16532434701973,30.6383523424825,30.117441546160872,29.078135380091016,29.594743553341495,34.04155694641675,34.359337971171406,35.09945563499579,34.39808901826607,38.258640381519,39.85553591224467,45.63351395013773,44.38105542366167,43.80670173281417,47.583623527199855,48.89440954537938,52.439174754511676,53.80948014874104,57.139280410583524,53.51316107805585,51.02047251464935,56.43914259745238,57.017589445815744,56.42423806287721,55.69027644906663,51.00353867113115,53.08030739367014,55.1025097181101,51.12042595718878,49.398803810591744,53.86919963135928,54.588473236606845,51.23018255376418,49.67413736929785,46.20209733281974,48.933401806986396,48.588874921029216,44.33014994753336,41.696947007712495,37.34714067160231,35.7454545873758,31.416309397756187,32.13683857234708,33.157536481878715,33.20210366841002,37.90545043216117,35.7901488705499,40.69470106931497,41.42187429545472,42.00998544322391,42.6835653491103,45.78789236716071,43.33179985514512,45.16837485471313,42.0336129762221,44.50251562221225,43.31270608764058,40.15560367992132,41.34392476393931,39.27592067324045,39.38703778381163,38.71612829247883,36.46550437467087,37.65477710552702,33.42366834027409,30.350642502151665,26.956554520882243,24.971590535575125,22.299822466998926,24.137084673606655,22.085714861734864,21.152087901671397,26.7286007435596,27.268669676761565,31.37745700570015,31.524444563895564,37.37651634491274,34.15038938421023,36.95981061336661,38.35847069553431,35.05492752346191,32.25046243374084,29.21555994084476,29.81452724150905,25.713075010831744,28.745030294578527,27.16940629548903,30.093314010408722,31.65253780626197,34.784523303411014,36.583405736926686,32.29100458596755,30.766922623361655,27.746903557084387,29.365770467125767,27.449088639942946,25.074498582869513,29.5129908613393,27.216404069920127,31.14940048753178,33.534526483597695,36.49232432566431,38.94062997458689,41.93782498208018,43.76247302815961,41.909024461080314,40.77918704083558,36.879938107387254,37.823152048164836,36.08154828816772,35.151282501981434,36.15620165626763,38.990620795709326,42.343861249617795,39.23223887943956,37.14340980650505,38.78484312615531,34.99739112621817,33.0893735264533,29.87294822864429,29.149196531927245,24.71844550431976,24.67707115269767,20.03291665716082,22.00102554436242,16.76981449134688,17.624960859851498,21.752867297046905,22.853804309198477,25.818685690826527,27.650502217716394,30.617886413494055,34.07903714491826,35.28475177118494,37.1647262042118,40.24075680822966,43.55447077848532,43.59341320351561,45.645512448425926,48.82790735605838,46.6942760947072,43.15325278729346,42.19080153854436,39.41835357507691,40.8009899259464,39.62002726996284,38.37855550186058,37.166444562998976,34.16180498403075,38.51102901257329,40.60352558979848,41.687639391364534,43.07114613140836,38.841544753484406,44.530497244681904,47.83977687509654,45.90245946898414,48.609389714341816,48.17332626128235,51.77950314272369,53.276041181010605,53.05566738346559,52.253898320902046,51.27728511350841,50.23259909016754,48.318127111965225,48.223099138803626,48.539849758111544,44.35391438058059,44.078800012393096,41.631511578630644,38.1769100857858,39.986829091700336,36.172297156209915,34.02195992203174,36.77265021248183,36.77884356340534,32.04050823455999,33.218706074987246,35.496961885718385,33.14435811076345,29.454241906311136,31.975356541522665,32.616149606589005,28.038456806054736,28.470083727658693,32.54557919915585,34.45685840191467,36.532151606362675,41.01542978298601,39.61300251950858,40.75093550787064,45.23518027777999,48.04630882195707,49.99124111195904,48.729626797484705,47.9807125493916,49.540571670411865,46.66790631576109,51.59469881677851,51.82164537089281,46.44672763707769,48.418139282945724,53.186012154732424,50.39878646200444,47.99121593632421,51.291419555889405,53.25733662104998,49.54167468551058,48.128142213827786,44.006613309313565,43.557983883934085,45.49261254098912,42.97592745294944,42.77237560888005,43.05809231556243,39.80373420549845,38.836020159300986,38.90856827137944,36.618967170142064,33.41134561696689,34.23342501958524,33.14245336475944,29.946960741173715,30.092271267738052,34.02169899003243,31.772524878468758,27.957400033952723,32.28400206100522,35.522931544191046,36.88977659131495,39.321442190327986,38.95683776604711,43.416597850485786,42.54694739697096,38.68719734175025,42.50464826409183,45.015254408878285,42.63341628156517,42.45690187414292,48.10374419769084,47.93638613194565,43.997888881384895,46.531112703282005,51.093401241860576,49.91488338385184,46.90206074788762,42.75618820724227,47.47277661602022,44.063980930134214,42.872216189375685,38.23225530692227,36.326078455666796,31.521043208845608,33.99467048523015,36.0447708614423,39.891361070646944,39.5738637523209,38.94062639520533,34.59405427040529,36.130187463294156,32.10787444808875,29.229170413721317,29.296644006037976,29.46472566578452,26.312676031580867,25.39488546488509,25.820464029223995,23.2430404180439,20.752770930105616,21.540130604417012,22.1520365156337,18.947979655725508,16.877872387602988,16.514488734367568,16.355961406016032],[22.754174821968537,24.361245120540605,27.11823514839707,25.70962733383506,29.342195746465357,23.12849789246685,24.059006230671983,23.432043857653607,20.2206027628495,23.161514464725133,22.014472117890715,22.05142457796229,26.775010024893867,25.09416330210671,26.76402145863377,29.25391205181674,31.3926993710412,34.66448243034187,38.499748106076225,41.141886026372504,44.42757258238707,48.54013603393136,49.80152736523638,50.268449938436945,47.84195217558822,43.47048657774534,41.80210277914659,37.63332985181446,36.02068113449513,33.91101870073987,33.28900581678841,32.788296778617095,33.45891979859945,37.735042305294115,38.02082346789502,38.404142332557655,38.00515583832532,41.37657141013396,42.85961536000073,48.857880676287294,47.228613155453125,46.54378720619181,50.50135088721529,51.797922263663935,55.14422468502722,56.39663666046898,59.893294945792746,56.482775162718745,53.8775786994789,59.33936185264263,60.155444543448105,59.78174529480718,59.039685659047706,54.484915369026005,56.713421146376646,58.49678034243434,54.37027086008229,52.86366455867423,57.31944026179758,57.73320483919784,54.239039694107596,52.78144779877782,49.37903151774239,51.747681404412,51.36863557508881,47.25234516895251,44.16562243901426,39.998348330900235,37.87097553545578,33.64105513510342,33.93501855620036,34.64345818917987,35.262993495076714,40.06676540223509,38.47000648055106,43.555488229758204,44.49666604829835,45.37473247071193,46.140707724321494,49.24643609238032,47.02736914360425,48.77376290251639,45.871452584685265,48.193367441742865,46.668674396003006,43.64652200056838,44.70007473166026,43.00483232739731,42.71749347358416,42.330800096302255,39.75168869016513,40.78860907318265,36.591142509813665,33.76700123362727,30.27266673530994,28.131993791703408,25.308843627357227,27.90686953190987,26.029991988053272,25.61049052940535,30.904779580572093,31.563813523706752,35.45130869284475,35.52533440924039,41.19740905565638,37.743837662667346,40.55645405060335,41.616923145603394,38.06890379275867,35.590849062604214,32.20103400451015,32.79654670965828,28.501340080095535,31.214568771522345,29.559350674526524,32.072455892063374,33.771339010061475,36.47525066830473,38.37829130687358,34.40046979722247,32.47622965593775,29.527548141877524,30.721633282055635,29.05560120073095,26.878551946850962,31.482015811204434,29.489254554418658,33.610684369851136,36.16845047617795,39.515513109349584,41.514060263443426,44.80733444733735,46.5181163967489,45.05724998512953,43.43780267553356,39.400526883061524,39.84643327869466,38.00742252482417,36.78280263710522,38.10618749940384,40.46214255782766,44.062781039104486,41.198055638392944,39.27891477793224,41.309522066066414,37.736004450521115,35.6706939887383,32.82769563394891,32.32325721344544,27.91225264213746,28.218495213285323,23.823393997840213,26.234150767743493,21.18400079888795,22.11445330296069,26.093590269015582,26.813676785973612,29.75495820212598,31.375903852844385,34.18417178012724,37.18944815023765,38.435676030314035,39.76817373250591,43.142459094098804,46.19260476598578,45.70254630104056,47.969205154146614,50.86259695304496,48.64581537158978,45.02038206564793,44.36566845666925,41.6992074332814,43.56244472310991,42.71387417095771,41.73471025459432,40.849633682587104,37.84031105972662,42.463911154678726,44.22399019142855,45.4052165216442,46.38689815808366,42.250150453358145,47.84533929278328,51.03068016842022,48.91325267997903,51.74597439373054,51.23677638008424,54.90187540969662,56.076201846352326,55.725577037665914,54.82428013087164,53.8804091688878,52.766284254829536,50.88309396654098,50.83996100201324,51.059595846825104,46.6848901673262,46.58841172854239,43.911770939405066,40.782357250081056,42.48885962200189,38.930069049050005,36.569435409226664,38.85216387743409,39.04111603753921,34.282030678786484,34.78564425724028,37.14026355983985,35.15930235094126,30.97248762162459,33.09551793815666,33.81887175925503,29.320496783251375,29.12516354411792,33.01182943971989,35.030004075685845,37.300663923145954,41.652344704272856,40.73096960679858,41.9540687608871,46.660132789291964,49.314608741124246,51.58215687052662,50.743129689966366,50.21359943870394,52.07008265723848,49.45100910313359,54.35345599282213,54.225255036101835,48.822298662908814,51.095454257927756,55.65237546073842,52.57111441878266,50.342794265758585,53.81984201372236,55.34360284614755,51.44283530707863,50.39105709897918,46.20913602554535,46.34620172061254,48.366314120989436,45.83371499447474,45.99554535566258,46.34687637216532,43.31291690943286,41.99746714399309,41.923484279129745,39.9733243497257,36.67696981462059,37.01680195233168,36.01216226576234,32.842867314303874,32.52886122371739,36.38600260969285,34.145712074241814,30.011833916744312,34.04451343193865,37.37122141781623,38.71226881140075,41.507713578543715,41.43691142424348,45.836269382000545,44.50768271531214,40.606491929009756,44.73058550124297,46.880361649017644,44.254768532131884,44.305335497913184,49.98330600398582,49.34717272380239,45.34591104861394,48.21582682803163,52.62527084660804,51.035165668804474,47.94862361106705,43.61648779597554,48.03337546914951,44.33511278745859,43.19308343293505,38.53757930656038,37.159421988033145,32.331298880110005,34.31217391375681,36.694488979623486,40.52293870116446,40.607553241692386,40.4032263891381,36.31249929377065,38.33291889266968,34.27332196303312,31.364825848240226,32.144318483107305,32.34709678539958,29.606761693391945,28.110788507657062,28.145046960166948,26.01395761989359,23.634924522194947,23.37749996231453,24.084941568241604,21.300982578688608,19.390265949135486,19.32002029682789,19.441220504917638],[24.65248117312337,26.618595421820928,29.584988995571383,28.860165511675945,32.51733389668502,26.240658252866215,27.43769038151721,26.44393299014624,23.66132543318937,26.89055862511503,25.647017708758703,25.15388712865123,30.22747741206886,28.937346915810068,30.258641551727536,32.58831357568559,35.070507942909735,38.30024579764676,42.350426371176724,44.807594014185725,48.17993419034526,52.219534461242404,53.618046136326505,54.23007793170223,51.72344222141877,47.40555766451898,45.61429016479824,41.444696712398944,39.597573399845665,37.203684577043695,36.44942609978617,35.63762062212382,35.96754464044931,40.32914212806479,40.84974499264874,41.592805768688294,41.01217948389567,44.792949219028735,46.366076143910014,52.20926337745397,50.83601611098611,50.20296845515647,54.04313394347833,55.376822946384856,58.84462689293471,60.15993842928006,63.56680869345868,60.02168153489902,57.46984492996253,62.89290112003057,63.565223584079234,63.01652344182208,62.28947029118306,57.62501278478085,59.705982374915806,61.68999068772657,57.68170086338712,55.95775271172651,60.39365512772847,61.092079660919914,57.64008973261233,56.00300708242933,52.490750416283596,55.063208853467,54.832912420235225,50.66556543203706,47.76972165509594,43.499106622963794,41.619794084928714,37.29000852149374,37.77264852604408,38.41842079328106,38.78704431152585,43.59576802665008,41.77620631241496,46.58335826563261,47.63579894670562,48.18247058453616,49.058433964392755,52.263770624340786,49.90096744781346,51.79184927757092,48.66050556880166,51.1173495908052,49.896138100536845,46.77931531028914,47.9268105534515,45.868911521928915,45.86119708237117,45.05330652850794,42.68490799145896,43.55994078832936,39.36243534163944,36.40202791591818,33.198699221161505,30.92494448882657,28.449767929978584,30.545120115996934,28.645920612055743,27.528405390473623,33.27468605906744,33.67214030992008,37.9428867956643,37.89339640998796,43.70627584977906,40.29523753764585,42.83684569702083,44.105319732853204,40.568548118603616,38.011155642505535,34.879962923147765,35.86030988434156,31.777794921171964,34.794676397575465,33.34277544575409,36.0377239909818,37.73480465801808,40.60035175246347,42.46184644730122,38.3457635470025,36.582560871317014,33.61523052504911,34.920531300760516,33.117901102867435,30.755000891392374,35.1837776506321,32.71510563992963,36.849149754557196,39.15763060088368,42.40661126802769,44.46064472398596,47.533193734471894,49.52884192488267,47.920221555020525,46.65241279674644,42.765667405687275,43.22989652960381,41.68157905627153,40.682941312116284,41.999144145301315,44.58755676320171,48.16393183811906,45.23006183808557,43.21125768425945,45.081608943558486,41.39181243398801,39.3808957736086,36.30499068990484,35.55407773258247,31.093139775265136,30.902751393360226,26.36429688487625,28.072843932701762,22.5705088823051,23.91569921781744,28.15627966709759,29.43448282692073,32.254178659124,34.24737994038847,37.01223171589342,40.426654017842644,41.792305451943506,43.41362870873405,46.65510690640678,49.779429286379326,49.504974859461875,51.56512901956596,54.56658623534888,52.24800072239366,48.73161051117586,47.92122075435531,45.32759209613732,46.99972437276585,45.97659545941049,44.87401405561497,43.69334156251623,40.77342762185967,45.09151337556918,47.19343390262475,48.21111329275995,49.51492480893508,45.14801342901586,50.76460555316939,54.04663732694393,52.12953725350014,55.02380226942442,54.65202961314005,58.27502313889274,59.59976937805343,59.27901192986532,58.359212646509825,57.33522053113591,56.12809161255336,54.12395246534665,53.916711594786136,53.98477125270762,49.659034740482674,49.26565597558052,46.471838788411084,43.21466723899487,44.55332273397662,40.8381690055799,38.82220260024942,41.02405618813304,40.769497658517395,36.117120141205326,37.05683219897346,38.94147740346155,36.44891263628244,32.727006051550845,34.80934893026988,35.046911272696406,30.549605752527196,30.797195386587514,34.34307788129874,36.698334176331514,38.34608726863089,43.3532868681332,42.319530300391705,43.135314495971585,47.797880425547575,50.17516668875378,52.56892608845881,51.619868463572566,51.35446979755325,53.185113141349646,50.74616397003842,55.730743765396475,55.62234234814829,50.49943931582074,52.83156009734461,57.44808262988131,54.514203880855085,52.446660390289246,56.00318544332642,57.60090242463236,53.776340682480026,52.97334752093647,48.55077237098394,48.587586324328605,50.33422232645704,47.46874962147869,47.46531170593109,47.36983632770421,44.55308041681311,43.55702039871058,42.97649363654129,40.828229359300686,37.97262092637279,38.265062867895125,36.72819610222236,33.54865559500762,33.58386692144957,37.00835092926175,34.400803298878145,30.517616050625975,34.663148308805006,37.700354222237756,39.42511587733725,42.21068503970781,42.449550317812026,46.81690859376562,45.394556823024686,41.93967180157413,46.14649060040183,48.22639044057653,45.72216282802972,46.15278514744951,51.64034340619186,51.01330211329547,47.3481868010283,50.35655885445603,54.57678355463482,53.028499691072646,50.15323017435201,45.95171307341568,50.34995936350739,46.78391562629538,45.23130002294163,40.854037734733105,39.35557405619216,34.648986021336576,36.91598151392631,39.389773676057914,43.23762751368168,43.41785574396057,42.91791621495633,39.0662231565718,41.011465529154286,37.22429901572887,33.88733409573337,34.3252492813691,34.07725297035572,31.37264281864556,30.404530706096754,29.9777234808672,27.431151132591623,25.81505375651574,25.60621121814282,25.508622817655088,22.421575287372303,20.576378667798327,20.407711072681995,20.28630016600466],[26.688369320862243,28.99231124143689,32.440144095821246,31.682272892706887,35.860776837710375,29.808512137984604,31.28794465926389,30.63970869072373,27.83371906474068,30.99529760386666,29.845661963934116,29.61178351411807,34.54260810208071,32.9653527623615,34.43809309531325,36.903146443948955,39.22170550560428,42.39995253113128,46.23727080089123,48.90098357258817,52.14410877161539,56.27919080684671,57.51813450943755,58.03206753707047,55.66985455761214,51.29204460450781,49.66604422190554,45.50607700407707,43.815693832643404,41.58409510509792,40.70760846558697,40.12648984170542,40.426288335533016,44.70530255634225,45.29725442248526,45.94559050751978,45.49982016742155,49.11893245360459,50.65487026254677,56.58308035289824,55.05914637410742,54.3643982526926,58.27355495058733,59.61553967737177,62.99422648560656,64.2572208387912,67.73887932886956,64.28777039173266,61.689163194841015,67.12632004653705,67.90230352038172,67.42734153763556,66.70121869172189,62.08460882941643,64.20882708998312,66.10417394065108,62.0418982009392,60.3762842499362,64.79248938397424,65.39632019362114,61.864721864909555,60.219706012085126,56.7137564134274,59.11502090570145,58.926051088184956,54.84159450069619,51.71583896180404,47.53617127018161,45.41093283957126,41.12365822979243,41.40040870778146,41.80518573104836,42.45349984916471,47.30973399548841,45.75525094548243,50.56006837851998,51.80369550329823,52.41279955697941,53.39887631034799,56.64625190211421,54.39133605950604,56.2851982209613,53.22568039395333,55.64312858647686,54.31442110309353,51.24512261591351,52.332383266418745,50.380081578206834,50.210889006702224,49.42383136301127,46.91959087651877,47.62502502738672,43.460834564574554,40.61816655161605,37.46577294033548,35.05322643619027,32.62132752457555,34.99173363037056,33.19176330449428,32.159883967050064,37.88770352648239,38.28549230424524,42.54712481179918,42.423241345367245,48.172348604948986,44.640732106196246,47.08693660312367,48.213381506278544,44.53490844601534,42.16330307102608,38.91391362511679,40.01565392796833,35.9004742856181,38.81353482275352,37.380722001465536,39.876273546019654,41.64565157097233,44.2863947794638,46.18152411621418,42.229969582072975,40.28278951649488,37.37582523000654,38.45582974560973,36.77956610087827,34.49595169392211,38.93733472221775,36.50567065659308,40.743463403618186,43.062855759466274,46.513156729411634,48.289626137975986,51.4640211735489,53.48713057591499,52.08420125835759,50.6294299742767,46.71980422796607,46.86679837376918,45.3645245993641,44.2617083629777,45.773371760031495,48.1208719461187,51.836054572957785,49.04444696236364,47.10945754603053,49.16588191742986,45.575078961511096,43.492194961809325,40.57040686140296,39.87449069002106,35.4166453620088,35.27245738238787,30.833052389914272,32.57864790334328,27.058668208615945,28.53752024647343,32.77664545807449,34.00875833019222,36.786993118643394,38.76882438882294,41.43415952800816,44.70663916858319,46.13195478673472,47.51183867370579,50.88922482307111,53.869600800044275,53.32863218427434,55.452907283989155,58.29397438007289,55.88603841060457,52.36457005211723,51.703341160335825,49.21121722457987,51.12124590780816,50.24947833290348,49.26715835054265,48.1869208827281,45.28833301500114,49.67359879221363,51.68978001696273,52.71432287552603,53.87751455943826,49.49269259445842,55.0529184516625,58.287595991138566,56.32786454294381,59.32096642233912,58.950402018394925,62.591840633514494,63.77380796478217,63.375984885756935,62.38021978609328,61.36226714104697,60.06806014409476,58.03601883770739,57.79946561269348,57.7405143904908,53.31428965928695,52.931265553888245,49.94865723033676,46.87757827100111,48.00006075841464,44.41925094604766,42.406165208202765,44.247925335467535,43.94837648320392,39.367139940787226,40.00699717544873,41.737954455868746,39.33175281451418,35.50413613152228,37.258491063945414,37.351588197966045,32.99634391267033,32.97122943778465,36.16396153845406,38.70238928792943,40.19765862048224,45.32730326156238,44.61330663673638,45.308393575676746,50.06879720373789,52.18559274177875,54.85981262107849,54.185901311562574,54.19449714075743,56.217955079722586,54.04746052086063,59.02339612044876,58.66954510751406,53.66981649606431,56.227342125356756,60.69769541251747,57.62836879078304,55.76367031629311,59.4616658551285,60.769254105242226,56.86125226518322,56.41638609476158,51.877240103358105,52.275772440021875,53.9690459415003,50.9747602751819,51.15560983952833,50.93008677309158,48.36085503424855,47.26039067131261,46.38936508504077,44.40951116933264,41.68029972886775,41.634650532545855,39.96786473907237,36.84054539887217,36.7017854356265,39.86071635818457,37.15006685307893,33.21531650036675,37.12268841018366,40.05397723963427,41.89792453251636,44.908848186160746,45.480538464844265,49.755784326914025,47.97579687321215,44.710140415832136,49.13177663727807,50.90742796748562,48.298135718786405,49.04672229189877,54.43931925922343,53.476546830271616,49.93696206497527,53.22428137316837,57.22651428846836,55.402125052952236,52.584810004993415,48.33741471326601,52.46781480213004,48.77403057373473,47.095840320647255,42.87665817863379,41.733154454690876,37.128327049383735,39.123558014835126,41.83966424135475,45.640491668852675,46.14717681319264,45.835733649661506,42.28700779393198,44.511546999809106,40.82855318070858,37.34461645151829,38.107423317963516,37.72686810244936,35.31140189713319,34.175357440815354,33.3576378481149,30.98604247452967,29.697070376181863,28.886450458319946,28.58241046372145,25.719582504655072,24.012771429818457,23.951267177224153,23.89307105237465],[25.881848210542948,28.30887821715887,31.702507360364717,31.628009545216564,35.617558638485036,29.53035597553272,31.245826835793654,30.290160423996163,27.999790131259342,31.557109399456458,30.533991383183064,29.84502762042688,34.972607522566705,33.90435056733547,35.30647284573427,37.50728029813221,40.01256562841548,43.3600615434851,47.47783124627533,49.846715247396624,53.29440630232992,57.28017028512279,58.74295470461721,59.32105156844762,56.73880669884512,52.44118010420749,50.531568013555315,46.332798988954835,44.50609534530125,41.981692325424845,41.43851286080703,40.321983499524556,40.602987080347816,45.05815798651696,45.58055473991164,46.46948805353719,45.650659118277225,49.590744031849155,51.08520687204873,56.824159001421776,55.531726764760435,55.12229739339391,58.939664186445654,60.15296086775369,63.66702873947979,64.8822397272528,68.297072836235,64.74304813197722,62.06357977488367,67.41157016992769,68.11821068852834,67.46203739301485,66.86515204041609,62.12139942560568,64.22588781048695,66.39718685252427,62.461471616720154,60.70503126109508,65.17026772703244,65.96062621703369,62.61185783403907,60.99034591305833,57.462658142250575,60.15819316322641,59.91433293853493,55.69605641074175,52.932878543161024,48.62859793798115,46.831903389412815,42.505156743606214,43.01492603796811,43.68004410450417,44.02692973655579,48.826974853818875,46.917701462642164,51.648223844184216,52.65471340302595,53.06747080121322,53.902135370019785,57.07678561951934,54.5373528554978,56.36485074907608,53.00756079467167,55.409840498174425,54.341353217610674,51.31432868986953,52.66870520488828,50.46723988924786,50.73630362969406,49.82017201778812,47.6243484661892,48.51269744590118,44.31611846971247,41.264320418652275,38.147720538145,35.90758090704273,33.51607962911803,35.27267274820061,33.22070158152364,31.57272197444963,37.55280892776171,37.451908300390286,42.043395385211994,41.58737677409253,47.34918219242019,43.78286471708783,45.931512645452486,47.18247035669651,43.51643769115123,41.1284319596279,38.1124960247565,39.61088036741012,35.75374319246678,38.99493849053599,37.93465724650484,40.634783440636326,42.54018588897059,45.38079033274039,47.48434021444583,43.390557194472784,41.599235607253284,38.54424183197238,39.62233927264172,37.6487556716382,35.05465455985425,39.224632201834645,36.25276319808937,40.469721244971794,42.512565338989226,45.87175524345344,47.661608400212806,50.60826137632979,52.90886320180642,51.4030049943529,50.287514619267995,46.56564242251481,46.724042626802344,45.5842356704593,44.80774186899689,46.33472468975115,49.07598005615537,52.81436639145218,49.99025831908326,47.840710921992944,49.75702161184604,46.0710413970511,43.965062954367475,40.80537540824262,39.77536275264747,35.286858657851106,34.63800598881193,30.208800998100305,31.42694303707883,25.752097330377346,27.69724325420876,32.0014204981932,33.62976996644473,36.130943130844805,38.528849656346104,40.93317150653816,44.546685532270175,46.24137324756362,47.816118057753066,51.10007884985458,54.04823130607068,53.73348904444014,55.55501723459487,58.5210525459931,55.97833588651202,52.611492210610216,51.747813268005956,49.37635236075247,51.10013561846652,50.092975093006714,49.07917123223257,47.76349431847395,45.09100123656719,49.206434134565946,51.445155246534725,52.23552967873631,53.613584822691976,48.95003053864018,54.47223362236412,57.7759283640343,56.03815714185239,59.18314374840474,59.052825602555956,62.646958319463046,63.87608365495972,63.489145684046726,62.424089847091416,61.29327847515824,59.85963846185846,57.686716458916216,57.26672227419772,57.047806999746825,52.695496092621816,52.02024293935701,48.96595129267608,45.77891057845077,46.5969222109795,42.90362243556816,41.19363997407787,43.00425376611091,42.34266962784872,37.88351039154092,38.961443712042325,40.30643280218743,37.4875054154157,34.117675963094285,35.919388288415014,35.65169222561628,31.320045861897423,31.768785706206298,34.76016513314387,37.48198250186482,38.477746044552916,44.0747976522394,43.13785081714732,43.52600470683663,48.179063818258236,50.141856467212236,52.806283732495146,51.97342783395327,52.117803289850855,54.07461655925822,52.0133856800379,57.02697418304874,56.724822734991065,51.9524946525654,54.510103476968936,59.02797010571326,56.121263943497745,54.365056311958924,58.094501785409236,59.51213569547889,55.71071925456155,55.42569719152588,50.708420924545536,50.975317397268626,52.432111781578115,49.19976974611251,49.255087357684516,48.71710830596625,46.33285311984932,45.45239505901694,44.22946533322,42.13979801082045,39.73305760163431,39.65742869245917,37.649060727581364,34.550877493408024,34.670405998427185,37.52213291196332,34.61157799143862,30.91617874085962,34.89894206403269,37.61071887671184,39.68430232720022,42.60542085203487,43.335708867793336,47.569718403165844,45.80968236874401,42.870411444002166,47.27216364516962,49.05224571758699,46.59215884782228,47.56367817440703,52.784352841539956,51.93884717625519,48.677185371307594,51.97834498689732,55.857118612914434,54.17796395667499,51.551692339609744,47.475507668369744,51.676057150747646,48.20209232632667,46.193662690640394,42.20636039655474,40.80179046654342,36.32549421059223,38.69264407254306,41.35983883680494,45.1662726513574,45.63170197294428,44.969220807108194,41.59387462302964,43.67316444038388,40.267385776781396,36.43851757234714,36.86930523678971,36.138244656923774,33.79571554292338,33.081046805653536,31.93381140662483,29.270163472972314,28.586217463755375,27.888578798185552,26.985364676329308,23.942334942436656,22.34517290264672,22.272554165764422,22.11633508412765],[23.79250071625871,26.380273133226947,29.839077826389147,30.398938925901835,34.37631723527648,28.464174114942836,30.571523108878296,29.598394172058697,27.884301136632704,31.821991009505435,31.146570519538873,30.25158763646362,35.32447212865081,34.637475314894886,36.25692877048904,38.217275704896394,40.65039041141913,44.252935793788,48.505710844817834,50.65884292538018,54.27663663459183,58.12546706179877,59.737401389321995,60.24004811745837,57.46249309663874,53.2308153098181,51.06921938124662,46.83260225146765,45.07061535620256,42.4011290097077,42.43079640433953,40.83049003874174,41.32998523862388,45.947136883648994,46.21022484790394,47.14540740735342,45.94295489992634,49.970698518822765,51.2934088997644,56.87943681890725,55.67069162186841,55.657295782352584,59.44749765041122,60.417647515135016,63.99125028395103,65.03758034996741,68.45895446748659,64.90988962725488,62.02641464201275,67.25687966279995,68.03236046653339,67.26326026158695,66.87154006233094,62.049831143710996,64.27706696124532,66.68000135393662,62.82058082842887,61.13908207249051,65.68861237924457,66.48610671835041,63.358609700420004,61.92319175008372,58.46227380629147,61.360667443400835,60.93216898755171,56.596333537885414,54.13229245303287,49.780412613077075,48.17156510946106,43.90437756069611,44.512680267402345,45.48561432013307,45.717077529245806,50.4326570121446,48.30303634010269,53.12234805687691,53.77353956235123,54.175426248499036,54.74154124859095,57.73284120810422,54.91331075296284,56.508682889154855,52.89744877822101,55.12965505235847,54.174905600362855,51.33772021896077,53.018681385055295,50.775412729605335,51.437933618369044,50.66637409995548,48.722794461687066,49.92651964655304,45.705866193992335,42.502039698945644,39.25761027553774,37.31358204016225,34.769881746250796,36.06617727024715,33.68547442275703,31.60931129275953,37.6388010902103,36.90577931433069,41.73359266450698,40.76523468664662,46.38027171701898,42.639279404133816,44.435938970007136,45.63095351357988,41.883531949529626,39.659426586921334,36.75988510398004,38.71294388773715,35.12910726817211,38.60821968090067,38.0437270263433,40.79571500185592,42.96311102143361,45.844531462651084,48.33306020645488,44.24205417994754,42.477775866061485,39.26036773573312,40.096070569945425,37.83088176099961,34.93130558388817,38.74405843469727,35.250810762273346,39.48033785761931,41.24668332582187,44.656421967190056,46.233587976200795,49.03577360550697,51.58895456717054,50.17112828669788,49.2216535765149,45.69616370817901,45.64542551531618,44.925756355492666,44.46104309524181,46.13971218607454,49.18475760006352,53.05305837560196,50.336613976695645,47.97423861138419,49.895378641842115,46.22407387213516,44.000978097572826,40.74046173741292,39.37751626060761,34.90068210565971,33.80528922285279,29.583967464139977,30.47341957064399,24.859860564617975,27.38219574697744,31.593058219540872,33.42423979261449,35.51633209053962,38.311291204269764,40.23326116628967,43.99408579114379,46.085096410029884,47.59102780359442,50.899107888233374,53.626992904807246,53.345299430929444,54.85931119547523,57.833373544543576,55.092155934546206,51.90806497083843,50.92823382456092,48.77861027375558,50.49271588938975,49.50279432405348,48.61863041277803,47.21521765982967,44.87263868941147,48.82025476913398,51.09271407346021,51.62536293972291,53.00312428712036,48.05200198069846,53.443152554508266,56.746164419321374,55.19337243190308,58.601697392389845,58.76692158196995,62.31628476463143,63.42798615805037,62.96057484382802,61.74742566680424,60.50765557351704,58.856186652353365,56.52837257418221,55.9126855397632,55.465436615454564,51.13524803698283,50.21680511259992,47.01292813005411,43.85802896276629,44.31763532070366,40.647357183598444,39.171063579577655,40.754992078170346,39.813691894487995,35.50933740927407,36.78481452007741,37.755778975802826,34.70514695806809,31.651029558363017,33.35831317918714,32.7798839283126,28.553277696559896,29.283266698005292,31.99704876231004,34.88053986130911,35.45864179637013,41.39466644926675,40.37287665404791,40.50827764558737,45.09614099846627,46.900148729278975,49.61678495585092,48.78327063971995,49.10192236739409,51.10052468962753,49.23795256163823,54.24783825648614,53.85452102674033,49.29431780012834,51.95585856710682,56.41187058957833,53.56218360434268,51.98508630827748,55.795644519900144,57.14830296457481,53.405520118033685,53.417151710471124,48.52068214676094,48.88796296618502,50.14085591810596,46.697061379035674,46.80509259097719,46.041993773237174,43.93621173131214,43.08084602920504,41.49780822399806,39.501624810719434,37.336286720490186,37.018820167926904,34.789867658923825,31.76455050175356,31.908951568161548,34.450327531527456,31.431884996349403,27.856676272046307,31.748649113738075,34.29433026517128,36.51087808264531,39.45406303705494,40.40580583292773,44.55485306637982,42.67033860032023,40.009050103314074,44.46254023935028,46.118096287522214,43.73021788513978,44.96710050467569,50.010423923954114,49.136363375865216,46.13405079530382,49.52812328754359,53.21905489459491,51.57395638650841,49.127211647023834,45.20072932377382,49.368861449277944,46.07228941511896,43.762216947802266,40.03436179982441,38.508947356469015,34.21413583936291,36.812695276174516,39.48113394867443,43.25061905560102,43.78272895666786,42.88341177008036,39.812699922062464,41.88814112996692,38.81554545989261,34.63901349323759,34.993403689113116,33.93627387357725,31.885459226776312,31.354479394455257,29.738947458788516,27.018536462506386,26.999127905895644,26.044963723553522,24.594212418460412,21.606039952726256,20.241670602806074,20.28969495159141,20.215780993158955],[20.811294354904476,23.267754735936077,26.776655770252074,26.81675447087395,30.994149620600474,25.104138215974682,27.193955550069855,26.608970433496015,24.63520354335705,28.471125153716457,27.980399530250835,27.50839530342637,32.29945932742913,31.311004226153123,33.302287818189576,35.383272572120106,37.48873620257421,41.17679616085349,45.23244594721483,47.553577582955185,51.10312713381813,55.017981370351364,56.49991170124582,56.840619277169374,54.128864980907544,49.84439700086019,47.77671189120487,43.52661454506564,42.01053291726991,39.583616528409244,39.80268578272783,38.42573009093851,39.25231796062111,43.832238987161396,43.867177497719716,44.47889809599346,43.39526862449216,47.05817630248093,48.26669542865138,54.00572784530463,52.54070430892899,52.533917385873934,56.44825200268846,57.35058547848316,60.80983543888546,61.76184180349533,65.28914873987708,61.88015924965248,58.89816294035141,64.1628814081833,65.10594346502556,64.50119903433664,64.12116508395184,59.388754021806506,61.78468599848411,64.01857293710874,60.041731767537065,58.577695681744856,63.16418771403407,63.68264914927143,60.527592756557844,59.27871646408701,55.920677234970405,58.6364070733743,58.05512850654061,53.75626341267076,51.12154587368852,46.864000069817486,45.022504772555,40.85468892136341,41.28198321616261,42.31699576889102,42.79231001540748,47.501941431413776,45.57788773165787,50.660298485652,51.20298203761147,51.91046940673582,52.36473018477119,55.25911966507641,52.54267656795593,53.97994985353807,50.53983526783847,52.62561595006955,51.380022571316175,48.65678440874346,50.29811684089071,48.388639178487374,48.82936034880353,48.455567109511875,46.327288949453944,47.68866379137726,43.45420920769962,40.35077289317617,36.832144309990646,35.007428227211435,32.15018838134633,33.84105390706276,31.41736437256359,29.85581012424478,35.58312584359358,34.98226491398847,39.55001340391397,38.59305042667449,44.09907019013999,40.22660168868968,42.234060345108716,43.19988729114387,39.35179055641933,37.242425559882705,34.03972664656944,35.77081582041701,31.99472080095309,35.26772922020012,34.637558503590235,37.21203486405681,39.46438304994531,42.16875038257606,44.78567757817574,40.84589800053524,38.90698313273721,35.678059408999836,36.31064611377286,34.11180210581929,31.293887205540205,35.21189373133561,32.00337317473672,36.305273554617735,38.2794611567352,41.87571456740265,43.31739408957632,46.362662931822776,48.70301716643131,47.47624042641519,46.16745441746248,42.5013325633135,42.31946392541367,41.41569577669329,40.78045141606724,42.55327535387843,45.4069426986621,49.36505994325873,46.757985735462945,44.45424235007664,46.56777311318822,43.01198310185571,40.692122140584836,37.63316123458555,36.42454395665789,31.94808803600923,31.20453499072578,27.09275039848288,28.596247249707123,23.23910777690956,25.580572339826585,29.642147960538342,31.034825709425146,33.18586205540278,35.74812611065961,37.62343550570885,41.03617938315986,43.117223915928804,44.3033624084451,47.782669882296986,50.3838578638157,49.84805429393533,51.52141793524545,54.37240510529348,51.6598501962179,48.387981436397446,47.561468212616816,45.39442023286193,47.348068188235594,46.5511648681496,45.824115749780695,44.69341996898993,42.30919600682395,46.55372292227333,48.509204556522036,49.16065001701821,50.21357988654521,45.398802665670054,50.77563006599008,53.995350843679404,52.26068247032626,55.68898159555125,55.771288320657476,59.36945606120522,60.291079604558874,59.766575021832224,58.52826353538547,57.33766652479453,55.71975211821597,53.4679724387018,52.97067580604844,52.606400157406334,48.178460107111135,47.51079753864327,44.32614164897579,41.307952535949305,42.0489665455809,38.51745272218656,36.69739898711845,38.27524768838671,37.73295413846605,33.265661711274674,34.0748872820854,35.469069938927476,32.89247648673207,29.267656726481786,30.978142253547325,30.845296502777334,26.525420321783212,26.766618501134516,29.827865595181763,32.482003692863515,33.68462988870312,39.08369599248786,38.22573334883932,38.75562272574648,43.48018947257839,45.553475687798574,48.2241822290882,47.55628856391764,47.66176820253544,49.75407098049713,47.75221567366434,52.72302067375787,52.24637952578791,47.38707154002687,50.07489565830925,54.4731308966277,51.42072421086313,49.72478437357724,53.527177595322044,54.74529850225038,50.8817831299365,50.75682206037245,46.00597822229538,46.57205898272834,48.080859440870725,44.89082126879801,45.218036123434246,44.87191605082158,42.58374584465657,41.36176081699341,40.19469239564108,38.42260252296268,35.79848588308676,35.42551365246719,33.681530066379224,30.608743173632366,30.33537375287322,33.340671926236,30.637398387132098,26.657946969327735,30.484354064780423,33.3942735756182,35.2559614886817,38.31576768725195,39.029602177429275,43.25164889128493,41.35646849107308,38.22680403572122,42.71435931664282,44.39112709173917,41.822026411024105,42.770873996326245,48.04047520171802,47.07285239299758,43.7302521407064,47.09467681593965,50.955084658131476,49.192008670099334,46.52914942605668,42.42610268197551,46.605598867190466,43.121855194351035,41.13761173993211,37.1248387203657,35.759218737802314,31.294438610670205,33.634187554920175,36.3204935285125,40.116348262033426,40.648261200191236,40.04105433576013,36.80108746890094,39.04824240286287,35.74563795962696,31.811948641119116,32.580711999410994,31.880155702141835,29.850472021044244,28.76570796078033,27.397443929013942,25.05406339979996,24.4409363618356,23.201581448764376,22.382701229990335,19.64056319854349,18.17398893709671,18.347095193862877,18.56903776497034],[19.774576850834684,21.757875432786342,24.680681943242156,24.556755646984637,28.161597088087948,21.963204860168272,23.65852752319588,22.71514297296273,20.64655004628441,24.492441114162972,23.868587404383316,23.198215426516626,28.10656302837332,27.32630504719962,29.146987051119204,31.133421320378776,33.383880259597426,37.0634669644135,41.27101878749065,43.44256386855425,47.065279815282054,50.91584943552912,52.50482950357215,52.95172617922793,50.15812120476416,45.92124263051224,43.76145265131832,39.51763823344959,37.84753437219173,35.31090986677821,35.552780261939105,34.06221356228979,34.902692506505424,39.50878122406616,39.50930056469418,40.17970748041148,39.05501340725934,42.83106447265788,44.10688556069601,49.802806237547244,48.45433775726162,48.41242347896325,52.264751209147526,53.213183260685646,56.73781205977866,57.781371288962546,61.23636346251853,57.739499681996534,54.85537317365375,60.1390620134514,60.968752693274155,60.319953214399284,59.88992515776779,55.138311748088206,57.47124296604694,59.72025799331021,55.772030121046384,54.247239436867105,58.829265273141516,59.42125820168263,56.290527984526314,55.01706061519437,51.652621532034644,54.468027097680846,53.883278495353096,49.54474275249208,47.05826665671002,42.74523997482821,41.09138418102488,36.898263596128935,37.4870017957729,38.680393333430565,38.93071728455469,43.585850775387605,41.4815202359903,46.54132759237611,46.972189630423124,47.63985223308702,48.04078984949518,50.92381311291541,48.176448444830584,49.65580186011684,46.21763341320791,48.37465246190779,47.19091488405752,44.382556195597616,46.00436543368097,44.02398736026836,44.521277061454036,44.12167044137079,42.066808708561446,43.52874632322768,39.29079217800608,36.130795320627115,32.58575053669208,30.87108753719778,27.994940998514284,29.505398157608898,27.03864701040672,25.507641618789435,31.20422437311407,30.727394521156373,35.240941930950555,34.46758953143132,40.074712877596276,36.35289330401759,38.563913995718366,39.686120706823004,35.99475054127848,33.644169369253646,30.51363198450075,32.00159343715666,28.180850878268853,31.506605892524814,30.746513543770345,33.50207943813727,35.62225180423251,38.52984420841825,41.02107059982677,36.93747620274839,35.171618179378235,31.929774764862767,32.83061616274417,30.577672276178383,27.752278199637182,31.742804236826984,28.620474530129243,32.8280361719939,34.872603006602176,38.25858981648932,40.045411472367874,43.03555863159912,45.27464478848993,43.81580153644699,42.641819268222605,38.940288594209925,39.142360806027185,38.068534719865745,37.455779955705474,38.990737538025236,42.0026156692909,45.78594434846979,43.01585112338723,40.68569487414267,42.61732089134888,38.96653942541972,36.74246932228207,33.559531148196925,32.37208480963225,27.88186513264105,27.194956326600295,22.929687787321445,24.508910450983027,19.158066892628284,21.27952202090855,25.345471149327892,26.716425163499167,28.990547732649834,31.47501564943705,33.5515998059989,37.066339227082835,38.99726295383345,40.42902565310042,43.77164073485872,46.56931827907045,46.28734860061766,47.9853225702915,50.99459756045917,48.429406108092905,45.10802822671556,44.16344127910259,41.82967439785636,43.55168961763213,42.603946399692305,41.72957906332737,40.530104615900584,38.04574627374503,42.28008004229091,44.29765968372576,45.011052127091645,46.18976573599568,41.46541494691759,46.93963252282918,50.208980050258596,48.46038384472204,51.72059886465433,51.723076953409944,55.31326821769027,56.4198355537649,55.98549809808063,54.859615891251636,53.708658713294525,52.23086036156348,50.04499731606069,49.635514895233115,49.46958767308928,45.12896697831651,44.529322786926734,41.58487535742877,38.35818012913744,39.446030803171105,35.7606528175226,33.85493229021653,35.8935809846508,35.495853075741515,30.894142473345966,31.964715897842524,33.65406137886893,31.06793437623579,27.454987771335432,29.562333988820466,29.701699601951212,25.20221433618206,25.655213184010435,29.198377194418804,31.573551114178557,33.08497842885475,38.20589397753675,37.031459481908634,37.78144218785268,42.409382103879544,44.818721366054945,47.1643051574507,46.20732507825462,45.95915233524575,47.83533110582111,45.48320740069854,50.46471429121049,50.273786779453296,45.2091487282357,47.62837521556501,52.19914122714012,49.26690417145996,47.29767767181588,50.928899944324314,52.468399709611006,48.67103728561831,48.07318550544349,43.50075468549714,43.65953967895117,45.29597397594162,42.30923090609967,42.432349281406175,42.3052729709,39.662915400384875,38.528328174528205,37.79126129260483,35.81669652619804,32.96125034724639,33.02460398166808,31.503860442235883,28.346620754701476,28.24744969381736,31.65721750637311,29.11529612750699,25.154707064792447,29.26952739336255,32.34813947749458,34.0199205861031,36.82218828424051,37.096942339965295,41.44609644013636,39.9795885517469,36.54791035747904,40.78429166114127,42.82836324942167,40.34896571017947,40.862779535602755,46.293062375749976,45.69133622878336,42.12893745291388,45.16154255377042,49.31318963215891,47.833095540331904,45.050837522017986,40.95201310616024,45.41929113029086,42.019899666407774,40.283865958306336,36.022888243165816,34.316185615059595,29.690875353248966,32.242770052200264,34.65473244623637,38.505227845762,38.663654893652705,37.93460388977828,34.27028557206348,36.22165425194148,32.70364199355495,29.025010647307855,29.470357151747113,29.018242760989622,26.58083362057364,25.604276468982906,24.814158689349643,22.29258236138412,21.095411628101655,20.59918137451729,20.208635134195934,17.168047937169405,15.43026710555196,15.414394245075814,15.595792287740489],[18.17394559736305,20.023751403859563,23.16077731304076,22.154997529667682,26.250564707220914,20.268027833293857,21.9536993650152,21.78678211754608,19.220971960774506,22.7350450944699,22.366664390426834,22.50691905076616,26.87956215608179,25.456450326009545,27.839830593515636,30.08635346978346,31.797791608114732,35.51777540643595,39.32926770682142,41.84717335452663,45.29020425434899,49.2813151786718,50.60773797975662,50.806455378710204,48.189749262621454,43.85205434825733,41.931288740294356,37.69051378694945,36.42492964037422,34.331645227712905,34.68367934411878,33.68678946131715,34.901943117451076,39.357430244780815,39.130423108221514,39.32050085318995,38.478123590250426,41.658722993172134,42.78576586846982,48.71597537130504,46.95922191337415,46.84542070446982,50.88385337137376,51.77855148796194,55.10063787806438,56.01870688556427,59.63907757148185,56.36765851605248,53.36600006764925,58.70107819124914,59.77945566256451,59.390186168393136,58.94929092218692,54.362267250018895,56.905956259699494,58.871136376256764,54.74863514828071,53.52559500100453,58.122848509484285,58.317882203562604,55.096931982989936,54.036525430834736,50.80589565134375,53.28092118983934,52.54132045498007,48.31176194534959,45.46572360685799,41.3344780931763,39.236027810119694,35.19830819490666,35.43114973553465,36.56069467851499,37.2828781857076,41.95280060911623,40.27296061972041,45.650728450470694,46.06523834484115,47.15316088024983,47.49103555634079,50.27817878362972,47.7592255117314,49.057579549604505,45.92819458131169,47.88465976628948,46.26914216691693,43.622168158616894,45.112675433431924,43.63105645975813,43.71203169852999,43.81860936810981,41.44250310976346,42.98431913042834,38.768249766094165,35.83598830298678,31.998333933473695,30.349601085594795,27.112524017811193,29.35679646648019,26.97712761099695,26.290263517551253,31.45406295630271,31.263890885467443,35.326031649056084,34.618743789658865,40.001213376153856,36.12336299153119,38.5759289419515,39.327994358976575,35.498363155317904,33.39987506410463,29.84610459224979,30.99395123448342,26.88911138071602,29.794238935784797,28.863988475553015,31.25167606295828,33.479747491230135,36.0274757510079,38.65699269932932,34.860174742730145,32.76258553961377,29.556414883047584,30.09865896608605,28.050031813525205,25.44670848928177,29.643633518336937,27.070948327197392,31.37653762189169,33.73032655489727,37.41677980286716,38.905244175151694,42.250437384470736,44.17807823996367,43.06488541997227,41.32004761733044,37.41709322625823,37.320512180815406,35.96356192678889,35.01978267307255,36.74793389995436,39.33732233616891,43.28721316666437,40.71951361140611,38.54144008739879,40.815054383127205,37.377959980315474,35.01470193496517,32.21971467199279,31.339985778921147,26.904264378811213,26.830950988713347,22.836776394798136,25.285848787152254,20.473551623208763,22.199488813346942,25.952050916894436,26.636209703312325,28.99858368090396,31.053237278331654,33.07064161829011,35.989488406193615,37.858459071539784,38.74715036137373,42.364438903996195,44.945361320804786,44.195149487041746,46.167613383320834,48.92945793725008,46.39576239790986,42.942547844940364,42.2924527545687,39.96493214169502,42.11144836628131,41.493864291988196,40.87102978627707,40.09774408433334,37.54424965113216,42.17842920784903,43.72869081871533,44.62678487979668,45.3134259773138,40.831574267556604,46.233880620836935,49.351886539688365,47.337178492327354,50.62309580570102,50.48191874221999,54.139064757609134,54.95695612789814,54.393001964308276,53.226062875076785,52.15683489664112,50.71513714215793,48.649801045843134,48.40621338254154,48.316881500463005,43.83356055924748,43.59157884043297,40.62380110581544,37.69692842523868,39.06094671752072,35.670138486797505,33.33090164531824,35.17795525906393,35.29794913554545,30.598242994789445,30.867689031588796,33.03953334562988,31.164755076719995,26.829604415972682,28.735940300262474,29.391953334204047,24.963844195339444,24.60337058360077,28.35244898808685,30.462579028131387,32.68051412790338,37.09736446388907,36.30679412244736,37.485948538253886,42.26981323518213,44.83558764221297,47.24324794967786,46.62804627390668,46.260648406938735,48.319741760548034,45.94849031815705,50.82987810434152,50.42529835582494,45.09885600553896,47.62681093174493,52.021320058119144,48.79535863862789,46.78275194773934,50.43806796665873,51.66510344643731,47.697940135447496,47.08158752103876,42.69125616012484,43.26684573155907,45.195020232451945,42.51036889145134,42.98432201748772,43.30546655982928,40.588917667325276,38.97576290718965,38.636997817325685,37.04063411010711,33.737599003465476,33.58348663359836,32.63050321845802,29.526021851952628,28.831418699704304,32.59263892905595,30.43443020033375,26.095661187747158,29.88335586670005,33.26561049756824,34.54325657481316,37.54462360647912,37.689892928416945,42.01632050372804,40.38555738605184,36.524443018801385,40.84241033367048,42.74239263964461,40.018460515225904,40.30799134059803,45.92140955265115,45.048222330999224,41.14720145882575,44.242550000308746,48.47767802446213,46.72796518083357,43.71458972531045,39.3922985658311,43.70943233202257,40.02614277953332,38.68417891301774,34.159179590831194,32.864333257191895,28.10946009587815,30.11974620341415,32.648194129559585,36.47780388694855,36.78116730143765,36.557276506806936,32.819397530670315,35.11347360483697,31.330983978064456,28.02073314665142,29.190527581989446,29.189723425508763,26.954451861964134,25.15578228273187,24.592473262774725,22.75966753679727,20.873100917893506,19.72540221452005,20.208586628408522,17.794773774474475,16.114691494943223,16.38872849377152,16.96253311794754],[17.19461081430378,18.385219328791294,20.900338949041725,19.29428418836406,22.959146573922553,16.856445803472784,18.09393554239251,18.041091838314408,15.124637042094351,18.480240218994382,18.219000323439186,18.660761267766354,22.75383090253778,21.22674896466478,23.83874138305191,26.084427540705985,27.59330578563442,31.381117758848035,35.14604308654205,37.660572217504686,41.109158747465536,45.08374566248231,46.4039431740252,46.55915224745038,43.9184039176035,39.58596060325602,37.6536272473751,33.411883933733236,32.23889845138153,30.273074586984098,30.837257158339835,29.92756694541783,31.422596550221996,35.819029653824174,35.37154369658592,35.34549575417411,34.555207046702044,37.510906198441496,38.58896709043107,44.57680387936691,42.724686971069566,42.607632989940804,46.68320176548772,47.55089847065714,50.83623340531003,51.74734488844492,55.38384700927821,52.150887020184854,49.148455218521995,54.506469854450515,55.618413600881944,55.31154378142492,54.85173138910623,50.318689095143654,52.9317083206641,54.79895438916681,50.63087494517071,49.526072839091704,54.134397306669506,54.18844186005897,50.98482748162646,50.05283339822186,46.907078195587985,49.32732945909389,48.46469943351196,44.23858751855243,41.40518134484689,37.31666754988364,35.20129166600794,31.250903878412533,31.468855942125273,32.79941914735123,33.52614443830974,38.11489574806576,36.44880083070639,41.98470769312741,42.20419141997331,43.483046967306215,43.6788418490347,46.359825623630655,43.893211637666944,45.08436335823997,42.092707739853296,43.972993670231446,42.200301217100275,39.59686694326263,41.04939395710386,39.778156838787375,39.75079897971129,40.151242906508685,37.7233572466625,39.47021961029315,35.28056717739151,32.413299616626404,28.371713479609383,26.962666972206165,23.471410507902277,25.868604395277316,23.455360169363942,23.280753335500076,28.005468142801956,28.006990085661396,31.74002630311358,31.176919085009022,36.4709106112473,32.6504982362454,35.37917801144125,36.06350104093401,32.33091058109122,30.173013145432446,26.492027101494845,27.230126398054573,22.960493308753783,25.688283642574497,24.596880650490064,26.97163573329637,29.172554735561945,31.74100717940767,34.39414531747854,30.611368023782706,28.509133737430442,25.2701521362171,25.84573417664076,23.798170501820984,21.264167028471576,25.611649175809443,23.409296171406485,27.642674360889075,30.201067016223462,33.83117203549461,35.46699360841366,38.91855695391357,40.60176511764191,39.462595421532576,37.56514270561981,33.54883566043992,33.65568280585694,32.02535532884123,30.966452197207072,32.57433585205345,35.14858966152678,39.03131565767843,36.42238192383624,34.26246956301277,36.5433779451767,33.13385702005588,30.767916074061596,28.058984441292118,27.335961391974443,22.941895582752576,23.25990221708964,19.37025421427795,22.3872501153502,18.108245094472544,19.36500306170746,22.80210150112781,23.03174200293933,25.482438767798367,27.234915297662283,29.33051971036647,32.006160692434506,33.745942350881954,34.560874523158596,38.19770839745026,40.818944671797546,40.07740057403986,42.17462673441241,44.96315495122521,42.5683945673219,39.02491125120839,38.39715538356419,35.936767259631885,38.07928808054312,37.498037908651085,36.892629825109,36.28585676052541,33.65584672925473,38.46998166087591,39.81077088591711,40.8308813872429,41.3634990362024,37.07704701144802,42.500542964866526,45.576682146282025,43.4337373108543,46.60356355284635,46.35079704720913,50.02914413030399,50.83350016815513,50.30009611507323,49.200971167098295,48.1900186169946,46.88012239010461,44.9271447990128,44.832277908814994,44.948870819056786,40.49499663780098,40.48052962217502,37.73958632030179,34.79111928306984,36.59218601601585,33.247902568586476,30.641611694208073,32.799105612879345,33.300589349695116,28.507414822808677,28.629787810469715,31.27186335254523,29.760434580807537,25.19195649248797,27.335798292357268,28.464555897620258,24.032213909442405,23.513216224842164,27.69515951327019,29.378746424369865,32.13457582177759,35.919851077262045,35.0119534061046,36.55990851942923,41.261076674319796,44.159754305563766,46.28340945936921,45.57194625168957,44.844174559834826,46.78014907572153,44.11630153475669,48.91990476581656,48.667161763506364,43.083603428951285,45.40467899928506,49.83768694307494,46.60613966974399,44.34443815957278,47.83554098139173,49.19870989497871,45.239892860614844,44.19307780402934,40.07745642132304,40.48031837882237,42.6472286118664,40.311103234843564,40.77674003383234,41.50705903649687,38.48158147377032,36.71626715421909,36.95640033509344,35.40215829128969,31.71855515002133,31.840261624773888,31.388315683303667,28.308068845427034,27.481663624977987,31.68636357698646,29.901207264249646,25.5217454412362,29.29872059297619,32.89049583679876,33.79750588456113,36.6129444142757,36.31054131590885,40.68043441826815,39.36964187039602,35.09892432152905,39.171116019563755,41.31117125583612,38.59037752400816,38.379211373136634,44.16520129310912,43.510264967336134,39.30034925505176,42.088326252466196,46.589989221481225,44.99727214847329,41.80295469946152,37.43480627799015,41.915879203558525,38.23604438526482,37.30436315047152,32.50157828678876,31.073406276059956,26.19713234864102,28.141030132176784,30.401688264337057,34.22455222225985,34.223653865463845,34.10900667588192,29.97463526342146,32.12793635829167,28.046275465516402,25.22029759663924,26.442601941939756,26.914000865843885,24.465268899646645,22.34509003400621,22.482283010703004,20.91588924905103,18.127763098630297,17.402704181705182,18.784147834462935,16.565835456286145,14.799622831377379,15.120583526610233,15.849945547888458],[20.907189036960855,21.80506437831171,24.04618622057902,21.567606349792484,25.001680700507706,19.06743743364588,19.4847642405029,19.53425549881446,15.708346723044702,18.057834213889944,17.20106290561306,18.211620672507237,22.13505408457713,19.837164439633355,22.185251682110337,24.85542912141601,26.338826017701003,29.70742358155274,33.181390023482315,36.06747162275447,39.23102037595593,43.41323670933525,44.483338095389875,44.70481924783853,42.36984061836306,37.939799491726674,36.42646983478199,32.273551043183936,31.08100911722202,29.44931124604692,29.185320807210918,29.113535640090767,30.37885735471764,34.47151215222025,34.31796005877738,34.11406529708493,33.944199821217936,36.62434968211671,37.919941529104754,44.1075373227934,42.092415617067815,41.39515485453037,45.517762714211216,46.71081809563017,49.86650427186475,50.9929890245709,54.621419120565406,51.42709912291525,48.715743181257494,54.20583550034537,55.24668368021155,55.13152245840202,54.394804419373195,50.0217144358569,52.48630343284931,53.98721504315842,49.70735665514445,48.562130983722184,53.041688762278426,53.01352231848119,49.5103082369411,48.37915336022019,45.18362098718549,47.26154343669807,46.60903675193182,42.57053887287553,39.26180432953018,35.28188068954551,32.80528558738805,28.799296763448602,28.794200800828147,29.69704172750119,30.697413329886622,35.417483869052596,34.147514102558155,39.653304974920935,40.322982404393336,41.71886348072927,42.245552134889515,45.13191375820703,43.10453593690409,44.56697080277337,42.01078378718603,44.07346225683748,42.09526589079279,39.27641429837332,40.22662093294403,39.123437012683496,38.46341109098981,38.788278335277504,35.95610110708583,37.31417836209965,33.173082237257034,30.58805205783285,26.654615684526433,24.870931392941245,21.4869075217735,24.76931483931531,22.9218495380513,23.60545028237331,27.990174181548905,28.95752654683703,32.17395643726139,32.375455735557665,37.71745784901245,34.229517838878664,37.399453429536834,38.11890594893303,34.60574895283971,32.30034807962472,28.574561372443576,28.553329750591573,23.998473881204426,26.168660391451503,24.237536342288678,26.42350563404345,28.159061016310005,30.5913646517324,32.633593131532024,28.9038789476425,26.71633053622137,23.775223098443547,24.72860975709952,23.259607703104155,21.393355330043605,26.22453100939582,25.04050633514332,29.065073068670195,31.97645368481549,35.43281362372215,37.31923511269597,40.909707492562305,42.17656696111089,40.958212670991664,38.817973144177365,34.58760340133264,35.001770916863734,32.7342141378704,31.175723802537004,32.50949176839449,34.52552845622018,38.171480517898615,35.43547856238456,33.65040221285922,35.93398048489512,32.57431714728658,30.413881922334678,27.97792324384427,27.85533536756275,23.613263221982383,24.717502923708324,20.748891262902816,24.19148601910123,20.149710255225003,20.42090269891612,23.76034256629994,23.547167541058293,26.54717054266871,27.56186849559559,30.325601863196145,32.63143204564247,33.718090695464255,34.55753085373131,38.1300941399164,41.02085291676289,40.20193732402482,42.752578494576575,45.474843551296765,43.41563528368802,39.64857422540852,39.22588516243283,36.47247392373675,38.62269801078589,38.059046374225666,37.30121119725924,36.889662482580135,33.81821044986169,38.852325512517844,40.05439519159893,41.4504158575855,41.915594784484135,38.14963043845916,43.64991817891646,46.663396852130646,44.26506550079278,47.01359410761531,46.32686836392466,50.037583531836624,50.96696432266912,50.54851613864483,49.67107758490706,48.83634192778618,47.861060624481,46.16877200794368,46.366858110841676,46.81129314147831,42.40570946991889,42.75172523323547,40.287191991880846,37.38476622279576,39.624969535764656,36.35489508584651,33.5195253618386,35.90147931038869,36.74986798554279,31.93354061023534,31.788472433657635,34.80978025952814,33.61943069239755,28.875400294582978,31.028051356936256,32.45442469611494,28.088985067203076,27.282010283573026,31.575318638696725,33.026335776634184,36.15391642565981,39.46527190000612,38.687219143451486,40.48258997369573,45.16189579117944,48.191851943365506,50.22733824559591,49.53125184174038,48.61723050122217,50.47637257873944,47.61950298423962,52.349126639605295,52.20538270133073,46.45387514233095,48.60414349173044,53.03639517964701,49.779505602946955,47.328344428719355,50.64990359580599,52.06898122262786,48.097406187254826,46.66897807000725,42.89124840976936,43.16120167519398,45.56046173127974,43.551377929474945,43.94892919993845,44.944420066636674,41.64403363574544,39.881259151240386,40.5525655931215,38.92460886030566,35.05799189991864,35.46532988396709,35.25945743479866,32.19222800529239,31.39038064655876,35.774072531757895,34.11415619916595,29.769661164987028,33.527277898743826,37.17756442701629,37.9429048945895,40.677765973668365,40.148189447629335,44.523063251268525,43.37220364776313,38.89011693542842,42.80772815636711,45.047819322416075,42.29686229205341,41.76923421638363,47.65496048805264,47.043263874094436,42.596374753288956,45.20310487359552,49.8590088179552,48.252123763975916,44.88861062265334,40.426607921166436,44.846774865443564,41.01822487390316,40.50624405389735,35.503234623382255,34.28503624637329,29.371775707388803,30.906392571405057,33.071087825204756,36.814337890431034,36.71442468571188,36.93750158523837,32.51938727303351,34.60451598784811,30.180200347176278,28.01892960815737,29.30168990355107,30.191846947723363,27.483052112812093,25.214623880061062,25.98231147176037,24.568901505155658,21.111696976380745,20.816749567058828,22.755944257980527,20.605293041716404,18.751025060441215,18.88066235269261,19.3494117576363],[23.06100260577162,23.548450723592513,25.484197369929625,22.066797682393908,25.346192060335124,19.961241090436534,19.769949120921478,20.38382232702242,16.00646223826592,17.216459617451235,16.28966771196784,18.25735493123984,21.32919974516897,18.155025646100345,20.72672862396852,23.718293087845755,24.670409248108598,27.731041126732148,30.648641527528845,33.950117082901734,36.77515732548805,41.115527030963186,41.852155302013855,41.92827151428036,39.90782953987213,35.40797708075368,34.32722472321127,30.309842892395686,29.44735900998602,28.40033604908288,27.811808350093298,28.570957054733572,29.98997908425128,33.68519844470885,33.48463987183132,32.809836285880195,33.18504695547541,35.198558637171,36.478902739962976,42.84196137215335,40.478975434146776,39.41778261936861,43.647654435198085,44.96383276273527,47.87299203617931,49.02522067137918,52.72517919374335,49.734566486437416,47.13641763843296,52.67932683308409,53.83456711057264,54.002969362110534,53.115633121259904,48.987312420904765,51.49205065355036,52.586056953552905,48.17346210015434,47.239826044564815,51.61261946424208,51.25267254867353,47.567510633130404,46.51407823242461,43.44101993359013,45.06570307778617,44.39871575281294,40.58869967255846,36.813700002022784,33.10058867439234,30.12573864675296,26.31448239776296,25.887521738470927,26.518150857958016,28.03863563443874,32.73855613163984,32.03516131794443,37.69207285983868,38.53493634973932,40.30302752154926,40.919126721868636,43.78179264875276,42.17813356278812,43.619264075896496,41.55867437974271,43.538649300856854,41.17931047758708,38.408534281383524,38.975621061112356,38.35826068145202,37.071865206913465,37.76111169550113,34.542669732227324,35.77075687525439,31.772871976741314,29.59284609456571,25.60066190723688,23.799714222804322,20.310746441550208,24.487601839260222,23.092080744439077,24.802588567757347,28.386441231793505,29.998917139226197,32.50996987472819,33.15595259279264,38.22979781538507,34.91834205174168,38.42369483286132,38.92470617412495,35.55028267768501,33.36176663942184,29.476136149860917,28.76892501897134,24.045555958781804,25.479047891224276,22.965043589066212,24.67957574309595,26.13960298547873,28.172262429561513,29.899931887946604,26.496353714613278,24.051732809517706,21.41228440361483,22.32030351021268,21.447004981240507,20.290293039846542,25.376472044596213,25.27321292137951,29.056099858891177,32.29326527637206,35.72354129834644,37.56017704565353,41.3739818621932,42.16764031424885,41.12253019820086,38.52682035071429,34.126008374978575,34.57330139607769,31.75648404611986,29.69845632607522,30.927069423931627,32.2760186925832,35.81381986856232,33.168487406576006,31.751303035804963,34.223859539101056,31.118935940025786,29.040351785620118,27.12835145647845,27.589742729022284,23.672303380950883,25.60074643141759,22.012937877246472,26.044662762539573,22.718171686533115,22.266988654180377,25.109419516054892,24.185177776719165,27.37923355031775,27.641324372974108,30.629353796571266,32.24098391874741,32.8682139014675,33.328642059760476,36.97271374842795,39.83480371578059,38.69424780025011,41.6641604597084,44.16735598365165,42.37968925914487,38.44331469797411,38.32932214430422,35.434023928851104,37.80778621935028,37.477892242505575,36.81436260506629,36.816762947323475,33.532204107982054,38.848121284662156,39.617176760071445,41.32273555545638,41.41068698514764,38.18387127771493,43.58158060733032,46.41741780705936,43.73212294521454,46.20325115267662,45.17604495237821,48.90469843207046,49.70345464762295,49.29213260370626,48.538283868686214,47.87039292739383,47.141833794982944,45.71039380941975,46.19367077158658,46.89663747621922,42.51260098339863,43.292780813902134,41.05536586197254,38.39082449845968,41.04354166799542,38.037145537257864,34.88196553356898,37.28535422527377,38.622928751645084,33.845991013956066,33.149501981924594,36.6171017839606,36.014447899182784,30.941111538972745,32.989456516813995,34.851337744391394,30.668987495354838,29.36894527085433,33.76441305311344,34.85062945784241,38.522344213503295,41.0760021356571,40.53052153146255,42.69325512730751,47.347848739102346,50.54654156308828,52.48682819285014,51.945686192690374,50.82127035673775,52.68619067452832,49.700837718577894,54.27594745172403,54.11241243196516,48.162866332725514,50.212106173319896,54.51123655963176,51.128954151003676,48.537062176408924,51.70633629921782,53.005298268596704,48.99058676279703,47.27612507181503,43.89020594252217,44.26851477416599,46.94925430367266,45.35671470298299,45.89053262749465,47.298517764016616,43.82371766677394,41.823387187873415,42.99086595993029,41.54411854745689,37.38454374960508,37.86125421267322,38.12358157180572,35.15174188497725,34.09127155577242,38.69916867122948,37.35464737920263,32.94678339959078,36.47622923668184,40.25765836369715,40.70495683026018,43.41445783183569,42.6422227350206,46.954022750824336,45.881054316192376,41.086302176801375,44.85343462191866,47.090723518498535,44.2497010995974,43.3581566054185,49.33373336679668,48.66776962319775,43.932558691352966,46.366241824176434,51.139279963151054,49.4490555862386,45.88896753224474,41.332177007447264,45.60881347334707,41.62628458766104,41.640483711729395,36.44237897202311,35.53273774878666,30.65427684480239,31.638354225043507,33.67773656919233,37.27049060027747,37.118687424309265,37.80415330308164,33.218241042764014,35.360545424678605,30.672204792164067,29.245464498205965,30.89741477441253,32.2757523532098,29.600429288967444,26.879355931615724,28.160586614200383,27.23736208822264,23.17553993988864,22.86615944890778,25.510939460159147,23.791073457299294,22.012909565425943,22.185444245751437,22.705016226758968],[28.671536206719203,29.17561299673024,30.713432999194413,27.73701511409723,30.13787039394715,24.360704188717968,23.43637519085104,22.839053112698302,18.27307622471382,18.950938442256827,16.661530265100087,17.752236864993314,21.614965329850516,18.748759138376546,19.548851513363942,22.66124179984456,24.691845592009773,26.963337708562996,30.22882223753475,33.36507832992848,36.08685718015153,40.447265140882145,41.31124446621624,41.99112993544563,40.097557193953804,35.69717948150439,34.780387695582036,30.93715757088994,29.228680368642,27.829447175886568,25.675872690231248,26.873748479783757,27.24406394939384,30.72304145458846,31.417299602889216,31.351476924434078,32.18378980379707,34.87567544185838,36.7650636416998,42.97054278348723,41.129629567063496,39.33342487492875,43.25781600909946,45.16995579259368,48.253008759369294,49.960851077863374,53.329805864108565,49.98813790493389,48.04788389334499,53.68119437353195,54.279776730153856,54.2746198708374,52.98930204080463,48.821399536201895,50.73528756764976,51.76683260265527,47.489723512214624,45.956792370495144,50.10646656794556,50.33375007177014,46.3514464473409,44.58394028778314,41.17858662747802,42.90149314076236,42.86653132229447,39.146212567587845,35.33133538579277,31.431812330132463,28.821987127630106,24.59796681201659,24.615840027366993,24.64811827421485,25.54156982969168,30.43394350886266,29.503009473332312,34.50270269132057,36.11960269744534,37.301570434234506,38.571264918700074,41.94210900139201,40.621545681102546,42.8028895367846,40.879229936762506,43.47529561476783,41.56400955705098,38.183879790779905,38.21769474771167,36.9642557350164,35.43109781120723,35.069742434844095,31.761018863503473,32.1952800461736,28.196850115198576,26.046273857937308,22.77347296089962,20.13925934567145,17.587677719995227,21.878889063175926,21.269915420683937,22.993126050249444,26.875778501028538,29.518631892475806,31.972770743215605,33.639426289324525,39.16000636171541,36.5463486788629,40.31351649039571,41.43964451208532,38.536498807568016,35.73655435594274,32.39058010142955,31.28167700585832,26.654108846023128,28.17262276998875,24.929036955164783,27.114364527135297,27.675916853907037,30.231733668742113,30.73149480754384,26.84858195475129,25.0781535243028,22.891512116842115,25.09589997894514,24.554196988317102,23.75902538905192,28.954851253070792,29.023853697898247,32.450665648206204,35.63306793115299,38.37482516119257,41.048260476640245,44.497177582390925,45.243112846570696,43.511935293971604,41.53522143259381,37.18897695890291,38.551753694791934,35.445432566188636,33.398590379531306,33.889275850025975,35.31425237924727,38.13625051303767,34.93980975767169,33.766664497322786,35.540709502509934,32.11787593668682,30.62469254088267,28.36045886471852,29.081461469181043,25.259856477343792,27.18856064351982,23.02244533704844,26.422645251867138,22.726499491510758,21.377284165429465,24.51812041195214,24.011539172318454,27.862929342389418,27.78395728462147,31.832397289520618,33.96360266271076,33.77685846598723,35.281627078964924,38.30472812277572,41.93909751169521,41.561970381094426,44.63548472212901,47.49183278328386,46.10474110668318,42.11915617005461,41.74029208103675,38.450306660508005,40.05968488885114,39.16827685353697,37.84528054425137,37.398758694265666,33.57688436465759,38.550875063919975,39.903826439573606,41.854321738603694,42.68002827373752,39.77912603836172,45.42188830486335,48.42738357243039,45.828854766801435,47.65371701164271,46.24809461167631,49.90523655321505,51.424433703783286,51.36771499138491,51.00913183647433,50.45429322092186,50.12853241542611,48.85139606401446,49.45654912120075,50.48616301443716,46.38089376083112,47.0616389077658,45.199054707427315,42.0897553003476,44.940494256819164,41.54802242280445,38.669689717009895,41.69359697485117,42.7517203067411,37.960517996165684,38.084369747408665,41.40772944098117,40.21362172912639,35.71959002111893,38.15019397398546,39.7442464550801,35.36842830804173,34.76286173622088,39.2335453170178,40.450472257276196,43.73545360843267,46.75177534775205,45.77864749400511,47.71904998127888,52.22255019949821,55.45151663955208,57.18968510511162,56.16961023850779,54.91108827222004,56.42474491850095,53.145585063874584,57.80101228006888,58.107827535456344,52.2240650249341,53.89479372428514,58.50222444843968,55.491529144574066,52.669302106375426,55.59978333541735,57.47813056464297,53.67015302452101,51.44733744414199,48.18528321165617,47.74772625000046,50.33817003529404,48.74522272837452,48.69338652457129,49.891297200410555,46.08165041146816,44.71424948249924,45.97306861731753,43.91744043925885,40.0124675189941,41.17515975462577,41.07747665941588,38.00748009009515,37.671789490377606,42.21661918297936,40.58883844270308,36.5554475868158,40.55309483382744,44.14929861306022,44.87932747135212,47.25878929368478,46.3025091823473,50.72230539887425,50.09868125425269,45.49043342068162,48.99904232516782,51.627346904430645,49.045542109647016,48.028470292497296,53.97147552917413,53.77020434579051,49.14011528631807,51.274796289016486,56.2049812550822,54.89607469256632,51.41311774975705,47.001672752793354,51.53305258291324,47.74821946164778,47.65359755013647,42.48308784182967,41.14484204745238,36.24023015831126,37.66855138174287,39.49208383215865,43.12093707648936,42.61644601728019,42.90866538365954,37.99655399681898,39.55906685865823,34.798178612262944,33.50654558298833,34.21090636827506,35.51652572668686,32.1729750375753,30.326721056331404,32.057429790895675,30.40257721954772,26.28102314293913,27.25542860442089,29.52277035680041,27.077420455169026,25.036353334346078,24.74862267458799,24.676458441891754],[28.29949591343119,28.58445376555148,30.21315290294403,26.331156163178857,29.145310237747466,24.134384555312426,23.217609341317303,23.759523196974797,19.0000926177726,18.958257497584228,17.378042529763515,19.760313207695212,22.307851128803694,18.460347999210896,20.331627984631808,23.65884785964736,24.529622758429678,26.787560380553376,29.155896664899547,32.851266153582294,35.185803699565724,39.699809448215404,40.08488615759197,40.2789533190772,38.72555197206907,34.22465184854039,33.75551650559367,30.028599555651194,29.145344966391086,28.57901130460393,26.875850033486202,28.725498628781615,29.761764172023458,32.88539365884267,33.08944455035736,32.21986263235861,33.39138779666996,35.00453914032524,36.54543052336308,42.96750175304327,40.492839642138364,38.68056521545689,42.85437327748545,44.58744152280697,47.2843381309369,48.71967329936538,52.327185689460755,49.413920288985956,47.26154731466165,52.87226920752373,53.888666434683394,54.27514048509533,53.04556861427264,49.17893333145164,51.43138786191899,52.05476507166313,47.58557584074122,46.59464256397148,50.71620291643909,50.28103998695619,46.25773566734731,44.9357428123091,41.85076596762432,42.978806351796,42.62854694951172,39.1617462874631,34.822623041020286,31.378366328352207,27.984930406671328,24.25650769864418,23.492883833217952,23.371980934717076,25.288900190173223,30.02911063426942,29.950627111900772,35.38530925016967,36.84777749444236,38.72277573139501,39.77623025396029,42.851214802817765,41.85533896450739,43.623763255709534,42.14654706263969,44.31902265024555,41.80153107914236,38.81924320447212,38.72448282019652,38.31406180976403,36.24882763517529,36.79728139164147,33.13610266298324,33.77415030014118,29.99198659300903,28.32183304239694,24.7120393385014,22.503269895860825,19.476443655091767,24.537676913575382,23.975290690921703,26.52849046055112,29.521914176996717,32.13594438295186,33.99012019626062,35.47456766813691,40.474270161608544,37.640362678720095,41.50976942846453,42.08507538409769,39.03654849973451,36.71268436218239,32.9513676415866,31.524658582622475,26.772050572087238,27.55095365140012,24.20094012685473,25.588065880932046,26.294589774840883,28.064256823719823,28.78686206414812,25.607419652910952,23.217661835338248,21.244030293870566,22.6859583313386,22.66873566148239,22.433305622049055,27.671772461764423,28.596015252640356,31.974192781772288,35.428733775375434,38.52522669400448,40.638775825046544,44.4734604988177,44.82405147044646,43.66141171945807,40.92640143393311,36.43396128703025,37.27275835450636,33.85551179687888,31.33134772569615,32.119850938963545,32.740109369680376,35.79162375878015,33.03508128659164,32.16991840262081,34.502049558998024,31.566748627346914,29.875004748500142,28.371321925427484,29.498111435292902,25.98088653088782,28.560272695473042,25.067129461326378,29.210819045890556,26.220977494758145,24.92062736154385,27.495648855888366,26.202570621522955,29.800818603298367,29.261754263055206,32.88007514014174,34.06949030692869,33.87961107244419,34.41794848824563,37.817053349440066,40.965194877050926,39.82753716774313,43.24706149771844,45.6494743539714,44.314012603285,40.22561872794558,40.31596642804396,37.14889237947256,39.39536280462531,39.05367568781492,38.19586759611734,38.389658794953014,34.6927606919368,40.0670876495024,40.68504962917966,42.78562271234113,42.841322885836036,40.29072438919789,45.66000731536016,48.38415476634334,45.47912854836613,47.378757612614834,45.84159089807717,49.53264869494466,50.511851022868875,50.26599669776796,49.813998164709176,49.36791898723236,49.05748374010762,47.95069009603418,48.74787700282106,49.81115030250027,45.58183060596204,46.69649637956121,44.80141044789459,42.182122789406584,45.214654463294046,42.27759681242566,39.00337853100488,41.62813865325595,43.21702630278982,38.481385835043994,37.672569116603874,41.38639628019191,40.98365301866014,35.898720177893246,37.97693019283392,40.020067308605114,35.89739845021834,34.4969584021074,38.93829339781723,39.840917436269535,43.734686772613394,45.920611022861415,45.4340552892151,47.767033372903555,52.35796911772117,55.65888394422573,57.48664860350288,56.908688478848966,55.601731881378655,57.349938705594724,54.17391433461191,58.65549703843376,58.64370703246166,52.58464491017802,54.41763945134378,58.711984314538576,55.37047345575855,52.59740458301698,55.54626509587888,56.94698140247487,52.983240556101066,50.862745480049234,47.861216503257474,48.026493141696776,50.88639962004156,49.61754644200937,50.02976872915081,51.652800284963156,47.92916194995812,46.007341837393504,47.55549794313492,46.002603232156105,41.75039104456475,42.5272914383076,42.95580075405169,40.00559001446709,39.046498567935146,43.76129050276959,42.49506451572997,38.16844967751726,41.72328548401907,45.51949113584098,45.87733047544186,48.46970251027706,47.48596301424089,51.787344314747955,50.910354766163344,45.981346425100746,49.55502814806941,51.90974488998232,49.09197923081261,47.909362383638296,53.92021746739701,53.35469173233225,48.45756922275545,50.6598494905247,55.55222435526473,53.91116443505845,50.237671494266735,45.67116774739321,49.87044381566713,45.83302562500051,46.220063035291844,40.92181970308016,40.1476981347729,35.32350331514948,36.00706811942242,37.88464354113296,41.33354033123256,41.04578295553223,41.97701678641737,37.19140803648681,39.15746972635162,34.27435573904236,33.47797609048662,35.03864707407268,36.722811681112724,33.82806964607617,31.146562036585983,32.91862601040163,32.03676135577803,27.602396028526027,27.740356719490105,30.64221737161406,28.897164651596867,27.05637999910299,27.069002852328385,27.37418160329993],[32.84812421377588,33.158004596329256,34.68996907989359,30.81373207270419,33.33605617428771,28.32397695025535,27.069306408438287,27.256716450985955,22.40788072357697,21.868632614576097,19.7174044366928,21.89096392380262,24.422709833121058,20.51957363284622,21.43366989216476,24.854801404794433,26.015546179330087,27.552866142575287,29.675286870204804,33.47547547266035,35.45995210963267,40.02635017380415,40.23972870003333,40.692668778828036,39.46942038560076,35.05800365269906,34.98082008769275,31.517278200674465,30.373726609970348,29.93479082799815,27.17177998232707,29.68372887161042,30.137229923056534,32.83265620948671,33.57339135311574,32.83318727294393,34.535745751462684,36.159348688840076,38.004513483239506,44.340031230596836,41.99673245747092,39.585536647131704,43.58749892243232,45.71630446695059,48.33266634519149,50.075727943424155,53.50985459274489,50.548674936024256,48.84244858331178,54.47664497639022,55.24659249293823,55.683693120216894,54.16275718123812,50.43902885405016,52.35657832996881,52.71490813931655,48.29204922907047,47.075718619215515,50.95645131092013,50.683773316463665,46.40173083401974,44.690020918714616,41.50659722120542,42.362539398908304,42.42865820473435,39.22865159785044,34.59363571925579,31.301446507460014,27.8402716771596,24.111747904495164,23.307013418761297,22.44887488731523,24.374452781197604,29.117760480880943,29.366988500238314,34.33109141304882,36.445759439836266,38.14327961652121,39.675864674662556,43.01762328319888,42.44951126152091,44.61952006224468,43.47813875588316,45.926379831119014,43.50181736772571,40.25246727234715,39.66177562617568,39.140850851886,36.61725594921436,36.70274218153842,32.81331412026228,32.78560250769161,29.196290061096516,27.870878315493673,24.83698595138619,22.152945616643596,19.85391801731808,25.2196870295384,25.314560728455593,28.12350455923141,30.95308048521002,34.25608094843083,35.83103408779511,37.9487143667089,43.030230575405255,40.60152474386157,44.65192310470524,45.43864841690987,42.63891670507837,40.10314605319701,36.550963594699475,34.80124153515487,30.10811735367651,30.686456719027774,26.874920403588153,28.233975513574507,28.338702233066034,30.093602535681185,29.920535912629653,26.791066387460038,24.701466627797455,23.25599827410614,25.257043422849282,25.682305993636522,25.87237052935364,31.12001631998157,32.404195073990635,35.54545927519177,39.0360130301229,41.81476516758218,44.24738041343387,47.9755873361904,48.15433700098233,46.75706974862797,44.160066481415306,39.675081765967235,40.891453748469324,37.201374013158,34.520144763530055,34.927732062941246,35.228799742327844,37.81334071779632,34.88659883124489,34.37155546710798,36.4038558973318,33.49314285048765,32.173936894392476,30.759533001493523,32.20363483617943,28.897966566478527,31.6480176748885,28.035597515490576,31.956450202478457,28.935832619537948,27.15155813452769,29.716852817154514,28.468588491871145,32.364438994032994,31.44328833424332,35.58358772904096,36.76495438563821,35.99811294154367,36.875427348963406,39.94835095441023,43.42221085180921,42.50627421619187,46.1259720817848,48.561509667723115,47.531950197672415,43.39182453400876,43.499024698815774,40.139459301213336,42.10377954179167,41.595790640776116,40.464065160523816,40.59265304035451,36.59060476102311,41.821065041523546,42.56249294648812,44.89280115549467,45.1667806224131,43.00541212294798,48.4071341600944,51.123756275039604,48.16930818971858,49.619551429259225,47.74467802837045,51.37061555995109,52.64318876281055,52.58095947760159,52.38110155656043,52.068743871711156,52.05067451760552,51.1241376564641,52.075477732146084,53.359039734218044,49.27089054899089,50.47146150733788,48.78670070752106,46.06669834030237,49.253704116273646,46.227619830063716,43.00433273536546,45.84527265659953,47.416032609608685,42.68115709168638,42.05528052775093,45.783734678249004,45.25645515453402,40.30963813550547,42.478856670609865,44.47551856652648,40.29679694349183,39.03935296719779,43.49376493806689,44.422575289029155,48.25740399471799,50.51016448028202,49.95565676275539,52.26145301171606,56.819282056288664,60.13249822352627,61.90879568951225,61.20385804007165,59.831461954144,61.45825506249549,58.154759378917724,62.63773612720654,62.79660164424952,56.728825846591434,58.40172973696509,62.77879228186888,59.5472532549077,56.6646631138687,59.481699586307165,61.063027999893656,57.16847169414084,54.796381098934745,51.94867696129976,51.831763830163865,54.715254106403606,53.53342646780721,53.73885226603375,55.343399221372096,51.45805419639653,49.75753420313341,51.413582349690806,49.643265166145355,45.459760635180444,46.50458963918641,46.84007169917957,43.85657677704193,43.136501342588474,47.844110494655226,46.48090603352088,42.26299455882811,45.969598659159004,49.71629286493022,50.162163005761904,52.6585622222783,51.597311163606584,55.931854854602314,55.20634884205512,50.30643280653053,53.78220295755041,56.26199857359633,53.509469813085744,52.24045781299899,58.25293393001006,57.816225237183886,52.905576890059365,54.98508794147493,59.942764232607594,58.39264346881795,54.705839904780554,50.16325919421697,54.38168370662027,50.35613351732048,50.81310130013866,45.49852640675814,44.68800385089462,39.86359772479954,40.55813987905551,42.36834562465408,45.78520455050406,45.39834954856948,46.316342369422024,41.40730288969863,43.18054087606639,38.23436648328687,37.63367176994629,38.91529889934367,40.639971012785544,37.50206111662475,35.09253997523986,37.07222869378593,35.97756279246958,31.478048612012405,32.03015189552899,34.846083801374434,32.87149712279991,30.934976885343957,30.786852524449657,30.862570383576127],[34.08924481605586,34.84498538946991,36.840047510121096,33.429025257250295,36.3593572962567,30.92959757727587,30.105875619770085,29.97335804029043,25.279369754951894,25.424445337956378,23.149280712072777,24.691349084961484,27.98684049389907,24.50060970107661,25.11528236943845,28.442467214107893,30.107220211406748,31.703680251640872,34.14357295934945,37.76750498410887,39.858809345544636,44.38329157700874,44.72163396060901,45.33477696336967,44.051692663019914,39.66532736467771,39.44961509066063,35.91517659500296,34.48105695362944,33.65155787280702,30.668881724307493,32.831510871709526,32.85884403538824,35.73759639049494,36.830306978681264,36.526825133675196,38.04802351747688,40.19909431850021,42.1716861876648,48.43874004730434,46.32958031245273,43.946190293086836,47.85719125556088,50.0589549931691,52.81166747125133,54.63277228378065,58.0029065270463,54.894443238894944,53.23389268273282,58.8806291300462,59.51886152488003,59.79209833632336,58.25907980967304,54.3930632185116,56.158405701685695,56.70392311311329,52.36456008409602,50.886544580229,54.757548037206625,54.796475570789646,50.49497911991996,48.524107477580976,45.17362089259694,46.22146769827377,46.515264013742026,43.26464059926303,38.77774701980227,35.33988098585916,32.15286884785179,28.24754245207319,27.70175092247472,26.716063661791328,28.302667540961128,33.09282042498198,33.0871983983396,37.69676110703219,40.07577743728875,41.371056787297945,43.12599493326905,46.66170708676151,45.96286219653959,48.35514129412928,46.95452464420075,49.59971315714516,47.45362527786266,44.04485546579454,43.54473491536826,42.59266850601626,40.325636393611966,39.86288247312659,36.130901641884705,35.80584166328165,32.15823646878288,30.630113364921407,27.903393591649657,24.88245109060852,22.958146208580626,27.85723076308964,27.864688528159455,29.956970527193352,33.528494949511334,36.65479233041182,38.751455535963686,40.77076710506341,46.16482985213404,43.660408005084854,47.535873200050546,48.519263330126215,45.59179407975985,42.93308889771632,39.44940450553528,38.12880888642533,33.4342905760693,34.47509808950444,30.893332510103342,32.53999342555875,32.77876247292809,34.74674303988385,34.63160286809168,31.301507151561545,29.34491582489046,27.742483761072513,29.781253541374227,29.91215332277305,29.700588335172025,34.96457146141341,35.623313683241065,39.011505299634734,42.359291187056314,45.20782681988807,47.68322635259772,51.31922117477038,51.80838777475061,50.283688454107626,47.94488390694644,43.49927558160194,44.65087598155891,41.23377356101722,38.752314504861005,39.272578408897395,39.85348468679387,42.5266132248238,39.53316643055984,38.865856363905884,40.803190139070466,37.703617501883784,36.361537090588584,34.60328468780508,35.74213199705585,32.1543729529506,34.418986203764995,30.394615159372478,33.85566921296575,30.10860240314348,28.693195079338658,31.781640509580537,31.118266550340092,35.062374825253656,34.59440180734662,38.79360669526895,40.47948627858848,39.9038414184039,41.07739385829245,44.11262119436091,47.684732314859836,46.91814576258408,50.37205060185677,52.91977653478505,51.7213364313696,47.625415986441695,47.59894677008847,44.29046879025354,46.161115913908816,45.48740514935966,44.227311269696884,44.04336596157931,40.044496778789586,45.08569562768138,46.21452525117599,48.41303983057247,49.01497979410482,46.529815933720194,52.06910047211463,54.9288524126641,52.12363010006065,53.69452772324119,51.94563252178478,55.575590972508806,56.98819277190998,56.94504397688742,56.698317140084754,56.299425451506885,56.152753606002626,55.07145645957322,55.859967778730585,56.9769942811674,52.81693435036239,53.75140933493577,51.85219181981031,48.979030339792615,51.85697022038012,48.62663758503074,45.60771198065117,48.374883214450165,49.589322196299435,44.78858845475196,44.44953789448644,47.86056053981738,46.90583374262587,42.10785060197177,44.254408677072846,45.89907451479445,41.57453604041707,40.539124885658815,44.83248348056495,46.118669812547644,49.55283287776037,52.42624235402347,51.85395920790841,53.86537852930258,58.52718097687444,61.62334050517438,63.60697662744853,62.86898939129072,61.74822038491924,63.42979230035237,60.271659362076264,64.90840370775841,65.03084418680096,59.110451465816716,60.92462171087884,65.40087618166187,62.20348107858558,59.456543205083705,62.43841759974944,64.0383727773336,60.11375563892911,58.021462162694796,54.8486334143006,54.73338297769955,57.421497102581306,55.88371551121517,55.98931299325486,57.219026481181935,53.47161497529044,51.98473170455116,53.18766258564587,51.23349873476269,47.31720513298056,48.28213388152926,48.163188858533175,45.07436150014779,44.567602896136066,49.044378492050924,47.33422569717213,43.137197679811614,47.01656581177008,50.64011422820467,51.417359715130935,54.02652839007367,53.26010518438379,57.65698934723976,56.75555979058554,52.13184824523705,55.82553922201845,58.23094433914603,55.483592295600104,54.586494542457565,60.55515976711415,60.02539661313342,55.31818455546594,57.64925656055073,62.48891252104058,60.86309244388367,57.29294613926084,52.733522211330566,56.96219569285026,52.91167196786211,52.9852476851454,47.794463853373465,46.95219459873992,42.062890714486436,42.982882710495716,45.031800509730665,48.576250981336436,48.37176362770546,49.09331137909556,44.33377888907214,46.18855877324249,41.36389574203151,40.217156362968815,41.32408702599625,42.66871491284786,39.48149239771503,37.389648947934674,38.92855420306373,37.44670873184731,33.421796429756434,33.86325610579116,36.114781861393915,33.796681072578814,31.779826602804015,31.56032547410515,31.488199055838777],[30.0832063428064,30.95086622378144,33.22744432621983,29.818941007737177,33.221056693003106,27.85853431821528,27.490710613946604,27.77022510177856,23.207059299464426,23.838435363447612,22.112336519652708,23.8640685341649,27.13866303618462,23.639742590013405,25.109294990491364,28.39243572052903,29.722556711901284,31.902423767936327,34.42516871756638,38.05477073587405,40.376697197701326,44.894375857902595,45.29687519550791,45.621773758827224,44.12699732027666,39.6475251578076,39.179378386062616,35.44319062611129,34.321749295136605,33.46373330479075,31.381379314326054,33.05761776519161,33.61919155780411,36.850224651505926,37.462343105548335,36.97875769004987,38.08717461031279,40.13220268966327,41.80800442236959,48.1772206223339,45.87591430927534,43.99618156047181,48.08949038147083,49.93543190199077,52.702633965089355,54.21774451175358,57.77411636231561,54.76864712979008,52.69029089816259,58.30975907843088,59.223018737129884,59.500178663226876,58.2290608797381,54.271079662837856,56.368621269477046,57.09680686985708,52.689528250549394,51.46340222389239,55.541482532024595,55.36112546044606,51.26068167978933,49.6631723404759,46.42150668617019,47.614332659532465,47.53106748464459,44.089083472700594,39.74794601069995,36.23724873055091,32.974149417051485,29.109962784257462,28.47786875408321,27.999012780580095,29.7605980351944,34.5717685362823,34.43190682602692,39.49926541931651,41.35485897146123,42.87886544907113,44.22686519340992,47.521992028862435,46.49419664738596,48.506409592921756,46.84966385979325,49.21624627273681,46.92909546793202,43.793741609019946,43.70761904429205,42.92730686367937,40.98857649520396,40.995898072539674,37.39606820413483,37.6261386764736,33.81781101989768,32.042028633718175,28.79425515784468,26.15637198159399,23.589206716685837,28.329699492159698,27.769353941987166,29.628777947973585,33.37473067720424,35.858634621386656,38.21681657508761,39.624492175981665,44.91963607276311,41.99922640568363,45.67807728805068,46.412683547957116,43.20533092986473,40.805479313356564,37.08742205269481,36.11994192440574,31.380807896257682,32.571904477605656,29.436772332275385,31.009539250644274,31.786849840505756,33.643026616297924,34.2950184174137,31.03215953191151,28.750705053988696,26.76453047379178,28.211273510841483,28.025639658282742,27.47206658519016,32.67923891244874,33.0083599072738,36.638932847537916,39.94753420384503,43.1542474210137,45.23421307205909,49.0056523649475,49.64787124229415,48.42010051158329,45.87944391489493,41.429044701941855,42.11686210327614,38.96896626854722,36.59219141859305,37.51971378155754,38.254405160203135,41.370196644017554,38.60707449410218,37.68727627917198,39.958138533170825,36.90218335507799,35.21409272856,33.454394308590516,34.32317372583774,30.554864515724976,32.64574539631795,28.738256785392476,32.39576482064161,28.583032744272796,27.71730059886208,30.86576558459529,30.175396022036757,33.828635334099324,33.72106780518409,37.40050723162666,39.0356774440288,38.99632347321572,39.75940858696549,43.12698647754765,46.33505486659816,45.25623719495618,48.55739593257762,50.99428563081733,49.503589482537556,45.461606921566066,45.48894034526182,42.40251763369088,44.61620192694136,44.159034789576395,43.19918910805554,43.123235379738496,39.414722992954424,44.614413787115645,45.57997357416565,47.57675847800735,47.910530868536654,45.08393560417,50.56169108639376,53.3989469955309,50.61642120285951,52.619324021373124,51.165960585148724,54.85483728992927,55.928442496428694,55.69082939986995,55.194455852013874,54.68104286084148,54.25199028305717,53.01255404106994,53.66043793849869,54.53962087052381,50.22134135877715,51.09354093349583,48.940514436491746,46.22921879632868,48.90095261279475,45.79555370596241,42.720280812534874,45.16952093211019,46.39704036177584,41.598748021108115,40.98594992655788,44.3481316962242,43.54120722000701,38.547262393187154,40.51343958292745,42.17204592730838,37.91164150055154,36.64678564784249,40.846925278104464,42.16558918903897,45.64533458482396,48.4763458225288,48.07792126356049,50.10018248038938,54.84178550989637,57.866082115637454,59.985050204886456,59.460798642672614,58.472419238559894,60.33566010731885,57.36737635928512,62.00496169800993,61.88583673145642,55.989166256232785,58.027658977283046,62.37910059039308,59.02145661845977,56.434591330779305,59.58235678045039,60.910687139446416,56.889646528560604,55.14054247772012,51.79875216038356,52.07395958386172,54.73445189189377,53.083567178046316,53.45050403264363,54.675034359692475,51.14024459065551,49.39750586432143,50.421883353754374,48.7223008465873,44.75342174798877,45.361448408597354,45.294619867022604,42.22861936868354,41.435167285012575,45.87478936078723,44.21884146815309,39.85766631623944,43.555599224207505,47.22873426148024,47.95149227794381,50.73634203434485,50.13435314490071,54.48956281588597,53.33199697080558,48.70645312690759,52.57117588729364,54.769247970786935,51.91355838289022,51.18427700387668,57.13809514361792,56.3745814543453,51.69767370989787,54.23244533101122,58.949870702745166,57.142431664638835,53.58884282114258,48.98157372153861,53.10090904338178,48.98198705498139,48.97524071183287,43.83240115109807,43.152061580469784,38.280881854939814,39.091170562329225,41.28984404769321,44.847071497463936,44.84845659949773,45.66076238173642,41.11585995428708,43.24936559061696,38.520982693991506,37.13047900672876,38.606281001733585,39.86488105519904,36.982652398718514,34.5871367352026,35.78642584628754,34.530016859524125,30.677975802196343,30.52986989915014,32.77326603918734,30.691028016337533,28.777377512876605,28.742997972792764,28.908464186427835],[26.618517868433575,27.695606560412003,30.14566411288428,27.288244108118644,30.841738158326713,25.13055573757473,25.194058557554563,25.243805373965397,21.00126249824115,22.46683404034197,20.958276100498427,22.21455473495298,26.041420223570913,23.102629453028207,24.78686286856253,27.84528278257204,29.440302631828654,32.11729552860354,35.16464736675328,38.46279981951097,41.18488640721641,45.582236818689196,46.31112259471063,46.65827404737616,44.785386077030864,40.304314573387494,39.36314243031257,35.41180221980639,34.13820340606354,32.828802844902135,31.350726231208807,32.23164429769491,32.916621785730264,36.586119463705536,37.02159267874251,36.80582729919636,37.352804143546216,39.85763844795001,41.44389560396593,47.741110008483844,45.63636007027817,44.226269429701986,48.31806803174477,49.93746843121103,52.92629688056867,54.321626375084435,57.89293105624125,54.74229194337131,52.421974354627544,58.00995638380687,58.92324790686971,58.979603011610195,57.9156267053239,53.72557471527125,55.91909125959504,57.03495174905342,52.69595131078166,51.39898682636271,55.655318622240486,55.653084302388905,51.7744876144038,50.26826933229444,46.96730565662201,48.60753053748265,48.36705515345881,44.63662233647874,40.743130385386905,36.95267251361953,34.075541883192166,30.033956925309703,29.742449005361912,29.792837902869316,31.143235462454694,35.99895130286818,35.29287920101861,40.47462195734773,41.938166066727725,43.27779656404836,44.3721694836224,47.58794009839017,46.100513743368865,47.98331662209859,45.86578166976181,48.19573468675494,46.132115395778975,43.04711405895833,43.4024862408116,42.32792793470315,40.98511181568503,40.92355959444811,37.66740822397092,38.26820974209716,34.261411723761974,32.06016902332077,28.602339259855604,26.153443383899038,23.345891894277955,27.421616829691956,26.33674739496083,27.49328141564217,31.785509551082924,33.6431588188027,36.53079157001142,37.45351320662615,42.892606465309306,39.735008117622755,43.1513090541795,43.963054118958595,40.60137117523968,38.1859389708146,34.509107800634276,34.05315656722006,29.387015172633916,31.1110902449129,28.478740980348384,30.403115221043905,31.58026013087363,33.76180326596712,34.9689814123553,31.405439028192063,29.192774714533208,26.76781984314502,28.08813520529853,27.322279332596334,26.149835926116467,31.23780427986826,30.780009094797553,34.63652986500493,37.736102331092276,41.049453178344244,43.08186475666895,46.738154598755045,47.74064763022125,46.45925533397309,44.1808127560277,39.83011290386884,40.403917353194224,37.68875967603706,35.694464158831344,36.80681694536458,38.147648106902665,41.50805016666005,38.70530871217486,37.38883070083332,39.629475367925444,36.36626618520322,34.48917257778251,32.33423748835463,32.72623822123558,28.675138413484454,30.22151925507195,26.127263747065005,29.50795560925546,25.31007575630849,24.997029458065164,28.43452740231174,28.150333324407356,31.595744367596712,32.072870501008346,35.45179534722863,37.538938593597,37.989282678794225,38.9089563539025,42.343485436261105,45.48285313919639,44.57162242844441,47.52275350889677,50.1228982054047,48.34900401093186,44.42671108425929,44.224318957712875,41.27592412088386,43.421265190579305,42.85221550153031,41.91254530969165,41.58437140833289,38.10889301264671,43.18393247326981,44.39400186123025,46.11185827778049,46.62856270311256,43.316138354492544,48.85983470480164,51.82359226417842,49.24782120515485,51.58556151612516,50.477627709301196,54.18385278090103,55.26221582017197,54.96203186299706,54.30018741656155,53.62525831132997,52.93745629536475,51.46245551777233,51.87305295498976,52.52187346549092,48.149435898226585,48.71157679764085,46.36213578944092,43.518027676392755,45.896156848682146,42.65026120405215,39.761496211583186,42.15395220710687,43.08451129745421,38.26956900807226,37.96101780631438,41.04883207628349,39.91450718168963,35.10279235172491,37.12235144886902,38.53275947296101,34.18501047993941,33.19669081095347,37.344584609912246,38.86679363560247,42.02752981976028,45.30545818290011,44.75130170854513,46.554413897350024,51.30362654312271,54.23489006626829,56.401910686590014,55.79427478494677,54.941009582767435,56.81922355737063,53.95823535461483,58.68625311658454,58.54598942707143,52.77836388310712,54.91056237297338,59.328294500923214,56.03304996866034,53.556477929828816,56.82962859186799,58.20501106197103,54.200369515712985,52.68456439305883,49.052133643841046,49.316715479329396,51.79203173336347,49.86226428745074,50.19501496608733,51.17313318828096,47.791348320620266,46.13744365895348,46.83786519880697,45.089468645804374,41.28417223447469,41.786083139372096,41.4714609634482,38.36955753299428,37.67275447904588,41.9747912105425,40.169631935078826,35.838962210337215,39.62560827280071,43.2244879585701,44.1069600064883,46.912121758655104,46.46375598626582,50.84184106611931,49.61834496226995,45.178334269675034,49.141927324267414,51.32276195320368,48.51854356279273,48.02239044887778,53.91754940772074,53.180833457605694,48.687733997792584,51.344557405932456,55.98163500955811,54.22940011357454,50.804835579389184,46.25784765286237,50.49370622075414,46.48635684279492,46.12380853477822,41.0966837107212,40.19611986216208,35.29771140850332,36.474741671102436,38.751721446339424,42.42535662241224,42.457645699577476,42.958833661360195,38.530629372138925,40.66553094925981,36.11101636143094,34.2234893558908,35.539675492123,36.499057055742476,33.66579955250454,31.470824564813537,32.326322072209216,30.84584341883952,27.363989772802146,27.132499083117697,28.99652351684088,26.74400906417663,24.82270777965323,24.80497258919063,24.99547070429396],[25.54681135683377,26.43901022856312,28.984468263633598,25.445455353220655,29.392206549586316,24.321950590480593,24.48721513351127,25.42359790570494,21.129261814878603,22.19732018280436,21.28118018118229,23.371151152157786,26.307655314032708,22.81405351744216,25.300255801973016,28.445669517176785,29.22571305412961,31.994714270542442,34.46460890291744,38.079613038612685,40.58443800557613,45.043091523055466,45.47078341959776,45.427108166709615,43.73938015889063,39.21343484483816,38.508087815583785,34.62521362626386,33.967683970372825,33.19846053946756,32.205990702201234,33.404527175392325,34.62827173706956,38.12396571043344,38.137481114543895,37.35995421467334,38.04093623843574,39.796304795854596,41.075035997265424,47.501819806990554,44.94060266449273,43.64852457348155,47.9202449106833,49.32788529934435,52.044923078620634,53.176321458527674,56.935060266169536,54.1134839286823,51.56450154596045,57.10538826063856,58.364473762650256,58.69042381051802,57.72751415520128,53.736205949880116,56.2285490339962,57.101369506134375,52.631416908316844,51.76255840643529,56.032115591303366,55.53250892594941,51.68996437258731,50.57219906956309,47.52021166592672,48.79900521293578,48.263507624193245,44.673921418767584,40.506012831248725,37.01843876304712,33.66862676698006,29.995948771834172,29.222648712600083,29.30494029087969,31.28252692351499,35.994009254348484,35.78929626565949,41.3200840610835,42.55649932620141,44.39512527067946,45.253613830873626,48.208409725923595,46.873024031608765,48.389460944986276,46.53250789624468,48.506746685724536,46.00660229005143,43.26410605958793,43.62039875584485,43.15112649708722,41.529570346975106,42.16810850671769,38.7193965772939,39.572498744586426,35.68043935572384,33.739843331877495,29.972370398271305,27.87125630658445,24.661727055981473,29.181205701412328,28.040938400643462,29.761648882462072,33.434080965953505,35.18051052916661,37.669250227020356,38.3636567739302,43.39164941718679,40.019247979972896,43.46485528688023,43.828561515588696,40.32888838618162,38.31803202496213,34.31991039073371,33.70149271732052,28.982103770864573,30.213820830428105,27.658790537103087,29.01410676511192,30.41125963742078,32.021669022594054,33.56330109027141,30.51840929396137,27.87814612290843,25.532914241018634,26.16220399405047,25.653107447070532,24.76933090817139,29.792106640751207,29.856781350119892,33.69713860997471,36.96063810415474,40.57885236143973,42.11991486973795,46.066176885903204,46.80751116120382,45.99791253682182,43.14962352349438,38.72239378302069,38.81573703269851,35.970025619553475,33.6951205516128,35.10903170715548,35.93627491983536,39.53542762093971,37.11646704362112,35.95157596244356,38.621283215527754,35.72049076227383,33.65021846849789,32.01943767591987,32.62249562934887,28.781633131525695,30.74226204003138,27.180700080610055,31.122265357977913,27.510498602496373,27.232065595453204,30.235577596407907,29.380244516874722,32.59119155081114,32.799022068580136,35.76944962598813,37.17956686613182,37.739070374003276,37.9093473925935,41.64740919891411,44.35093674526829,42.850315327636345,45.98291293190576,48.22598362448389,46.427399161436,42.47022014192811,42.60943777620248,39.821036782532225,42.47038517404072,42.331345326400566,41.78004516944453,41.91775387717984,38.59970481402085,43.96104097314324,44.62573942804036,46.40192977222675,46.32606867197539,43.20596969953036,48.51999273700444,51.26806607412291,48.49179605697638,50.96332324805864,49.83496410824917,53.56084135814114,54.18668565801974,53.71330969400391,52.93220044691492,52.310615692375286,51.57295834476794,50.19048699319073,50.70697383369296,51.32914550386789,46.8511650099478,47.71755341753227,45.30804983749097,42.86924634140931,45.34583380702752,42.479958996984,39.2919869978937,41.32259279408149,42.666064000122645,37.916777649608214,36.84420319798382,40.220449563597306,39.74439886343088,34.46083532738262,36.169562315990156,37.94767921030605,33.83917456699079,32.17955199645169,36.282351290089444,37.53706890894037,41.195290586685005,43.77542364965228,43.62796705637726,45.7478481153712,50.558266057573235,53.5427435767586,55.78133356702519,55.54545454316868,54.66067521854722,56.73678317945284,53.98046585333087,58.559913727284254,58.14410738119949,52.254436322880245,54.53358580167376,58.68281855803734,55.11961046220943,52.70884065054033,56.01260112446105,56.98092488337721,52.852048852750414,51.47510089549327,48.02111491386115,48.800578249789886,51.469468591465585,49.78192148458982,50.50602817220319,51.82091979920398,48.5334322276278,46.42105376530131,47.33739096522109,46.02148166385612,41.942522573513116,42.10742103575454,42.23579754041562,39.25123955464681,38.02572862177992,42.45371938781231,40.9757319416162,36.419154944015666,39.80104125883968,43.5578651753188,44.11158968859647,47.0862498921749,46.619244261693645,50.884249995244865,49.44556759573752,44.75464050262095,48.769900811908975,50.70889420665264,47.714355511452055,47.1038323812725,53.03542415647391,51.98928431495029,47.30011809981521,50.029722881533814,54.61086992996814,52.581712431783856,49.01904456539478,44.35605878755622,48.310720281536305,44.10546413995757,44.10638365580464,38.99755604290781,38.5651783779503,33.75256287820091,34.32423191180276,36.66235539889028,40.1886461255739,40.42571341272559,41.42558730064024,37.15186518738789,39.62853218340574,35.028084445735885,33.48021822926321,35.493904166953754,36.735265219510445,34.29872035942908,31.436152629346278,32.286772622963966,31.463454406397194,27.76271002653332,26.817029325769894,29.19553473038088,27.574893118533737,25.85483187938038,26.096926130823576,26.61946908942336],[21.93065006713074,23.479185026919208,26.651491131865864,24.21243813551272,28.65299757762564,23.147733347763495,24.245277491484376,24.842174890632077,21.277726577660456,23.63654975336562,23.026764324142295,24.253666063027076,27.97502448406507,25.36511212472201,27.91885352835211,30.714451039093206,31.927143615192595,35.214047913129825,38.31339630348976,41.48390745236865,44.434749157312055,48.72203315080401,49.53797524961654,49.560413552695536,47.45293026614981,42.968488190470225,41.703322481305,37.60255951248669,36.70492336043269,35.31295838387655,34.94546585116132,35.12241866246932,36.33163955123486,40.33797486932074,40.268262233027414,39.94250455960731,39.90633285728735,42.33562369263752,43.5237741391481,49.785964232928166,47.53724404397592,46.82298689807165,51.039131685129284,52.18726985904573,55.179416358722754,56.16887100149228,59.91608854376562,56.908597391591194,54.08127729706019,59.54637412412531,60.781676596620954,60.79245537332841,60.094418971275026,55.804105669522905,58.36261344436216,59.75104504134157,55.41041098795344,54.390508853516195,58.84154610810006,58.64049891778779,55.06370131498171,53.97278607873005,50.814913522573534,52.63571641980341,52.006840771654,48.10463011389761,44.486779452717634,40.67908586850067,37.842415070675884,33.957668085800144,33.61700034345291,34.14963959900182,35.60398061212058,40.36016898179517,39.498836647355596,44.99497788730108,45.90492832521332,47.397385591011115,48.04630546174027,50.95600426352177,49.0554422926216,50.46904423848858,47.9848893592357,49.941799141026735,47.81500717349946,45.12870958161862,46.04313248399418,45.10277690076577,44.26680471984042,44.64377527890585,41.65289234662117,42.789286244770466,38.69781788359361,36.26041638764731,32.428740977416254,30.445149487437664,27.186463639677935,30.725868774388545,28.96879749498471,29.5176992543474,34.04201297109337,34.849407116348374,38.1668125422996,38.13311227613536,43.36177809202749,39.63919341829547,42.58209162321227,43.05906421595966,39.28628613166397,37.31307373176141,33.414179423289546,33.72851145321726,29.222209853589156,31.274193971315345,29.54051181022956,31.348633792743943,33.25447496083165,35.25129276307858,37.42216082366912,34.04078754715302,31.558890929511726,28.743527605160242,29.190881557512004,27.911297645231535,26.135307688860177,30.826984235276406,29.575207994855145,33.76698639148475,36.62649650813547,40.43384031704031,41.80412187760821,45.5497460040661,46.89434198662984,46.047851673211724,43.61611332170202,39.39784153950588,39.20643871784274,37.11638951335834,35.441816953612836,37.157168554190605,38.775040461131304,42.67555547501332,40.249900078588944,38.58646015882531,41.18166973458375,38.03158026898913,35.742880617161944,33.57032226041939,33.446458896845535,29.236191571151505,30.232876859290105,26.41686373985356,29.7171858982786,25.39675725557996,26.140990280179675,29.62008027685516,29.515336078219267,32.34961245128774,33.49033568847575,35.97395461939398,38.08696643836482,39.358026967828344,39.76194087148351,43.54954268830709,46.12281134472602,44.83810660519157,47.43248362507874,49.85657241409743,47.61927355619874,43.88831990524066,43.716795719125365,41.20315023032965,43.759293096740684,43.46399773378291,42.94078668854038,42.67400987374592,39.720922876713885,44.80324251654918,45.875126165488474,47.2251118109608,47.4532087104107,43.61308467346872,48.98032395357754,51.90250335623383,49.465348494446935,52.42268172857923,51.792336275297785,55.51477925468804,56.14464358401778,55.582647423800225,54.5560435571107,53.701824570221795,52.5577780653887,50.81153074942023,50.93715277333182,51.13992270207818,46.570878468044796,46.90922921515594,44.10341252776354,41.51606438439589,43.36597217104334,40.30338142387438,37.48238250407702,39.245345986907054,40.01002635020785,35.27036548484946,34.63611332137466,37.41162251886541,36.345602866917666,31.35910231286701,32.998763204341486,34.223434662655585,29.992701715449844,28.72252937995838,32.544863374693534,34.298771354081985,37.285644810665715,40.776455437294835,40.51335188292726,42.16771002740525,47.05818448076775,49.742157518062704,52.21594032384999,51.95529214994473,51.44331697616437,53.62768593059511,51.175522739013374,55.91466839800228,55.36756818045571,49.76869773696912,52.3016104970826,56.507333212566145,53.00547333554556,50.87953927087683,54.448521454360005,55.38082556139323,51.25598019619221,50.43714387302793,46.44527049375701,47.33917934119154,49.64627120986808,47.4103528029922,48.12503168595198,48.92269571378166,46.00536987657297,44.05004363638224,44.24169823352969,42.876778139337496,39.18077918086749,39.02172520825466,38.59649087272796,35.553379043877875,34.458936184809765,38.50136642817941,36.66052987306496,32.11798751371346,35.5904912677909,39.17034151566057,40.1027069980946,43.233423677139946,43.21070075708847,47.486073239671505,45.76066587079191,41.50266604440989,45.80495447812833,47.57524209692256,44.62262011304778,44.59281901278658,50.36990794858248,49.21155703507233,44.916968678078945,47.9953435624188,52.325771547303844,50.259673583438314,46.95709660641586,42.384697154864824,46.39513210428264,42.32157302048728,41.62354337687371,36.81378233774679,36.1780849645161,31.37733876639116,32.47485934022418,35.08335653387869,38.77384975264892,39.236502186504865,39.77358076035101,35.8827208967237,38.46452033217048,34.26395670736321,31.75993682359467,33.58534511016087,34.18764290291882,31.962527052036076,29.469495974409266,29.458377498854393,28.25096930374276,25.49225031836304,24.102297062814667,25.558123751290108,23.673044124781004,22.01072331069992,22.331657668584803,22.909150471716302],[19.06151897523654,20.886963530835402,24.455859750491026,22.357511971178443,27.23238727227267,21.961126835233017,23.655238733755805,24.545111222033665,21.495234902362757,24.29184106260807,24.185400016425383,25.354112132061573,28.935681194980724,26.588442009589127,29.54451243542504,32.14381344459162,33.14588171424508,36.737671137187526,39.869804805455985,42.91465552299684,45.993834098998704,50.181910283431115,51.069531598755184,50.92608355426024,48.6712874107723,44.22184063391669,42.75607247647298,38.60516870635678,37.90553427445254,36.46471392446246,36.72679427713531,36.499078009831074,37.99686026475191,42.15831402505572,41.79618320867373,41.41693443522067,41.041940254117954,43.423216804539514,44.37913497959089,50.567301787224395,48.27049368087712,47.970147405954606,52.22355993541172,53.09268486013862,56.08546085039761,56.84317233580681,60.6638018741194,57.73764190101605,54.63623599688785,60.00055869962227,61.4051911936135,61.376484956394926,60.898170247214495,56.563010124317664,59.31632318650271,60.867447822784726,56.55133747048533,55.687285375584686,60.23378037604394,59.93229692519917,56.552914126077305,55.70265933105968,52.63884272969349,54.57648748129273,53.72605392803459,49.73357638674187,46.32134470288299,42.51322688192373,39.75342930318149,35.97493326445078,35.642453510455255,36.46127101093498,37.91700074524183,42.58683784364246,41.60934633128911,47.25099435629396,47.82545796834386,49.39100857112712,49.772955059182,52.4892397251599,50.35289379836608,51.48830349952528,48.802318284507635,50.53188353749585,48.393694247511064,45.952285759090735,47.186577422938925,46.32046155752071,45.79123264024004,46.41462478105605,43.60163385541838,45.04782457275276,40.92935845916279,38.37323420705617,34.36438219845625,32.66521650271474,29.201312836934378,32.396528982327325,30.297502502199233,30.527465586011587,35.08350218058088,35.290000710129526,38.796943503024366,38.21741536293385,43.26638119903253,39.25637872866487,41.89749593674021,42.17517313865171,38.20247450358692,36.507918802655375,32.53280327488802,33.29638432559641,28.96646083196861,31.188857873545587,30.010470789542996,31.75075973839341,34.03785969959781,35.941337396264906,38.631362489306824,35.35524153249771,32.78525179249667,29.784983267784376,29.771324688611408,28.194234324582922,26.08434855740286,30.43948636083911,28.71168428569891,33.03100232223545,35.703522231365234,39.747719725731095,40.7308877382002,44.487518503432604,46.02820664489936,45.42793565320844,42.94661111849251,38.852831896333925,38.23725864363456,36.55184510822953,35.1121683754254,37.13946845219768,38.94927113116486,43.107416925692675,40.898153804556905,39.03449440346993,41.781893449540405,38.71297864974801,36.22235935757447,34.04878175050172,33.62262331120412,29.39243097063978,30.05056612892416,26.48548938362117,29.689126480773922,25.44029331185948,26.74383244715028,30.144928756759015,30.12427782678198,32.55937027658444,34.05615561636117,35.99309890133666,38.104566665513154,39.83479144409232,39.96432587797668,43.90569849098566,46.145186689857965,44.689275777945475,47.037995504211814,49.3660173873611,46.87185798412607,43.288212444943525,43.11176857473294,40.86957390870457,43.615237715747774,43.4656395439695,43.179159931902596,42.94306440789643,40.31954126141182,45.3573419118326,46.343727981744905,47.46816803274739,47.5379853055552,43.419366271972464,48.6440436428877,51.52708806886383,49.195000320274865,52.489662850209214,52.14579487561417,55.85435460689892,56.23539108761793,55.53602922473157,54.305407878806385,53.34734957988261,51.944137025566654,50.04485955826957,49.99861383235111,49.942160285312,45.294584148770866,45.48952242728257,42.4422871997752,40.01561056648243,41.54514126585017,38.61304321429478,35.85742847794938,37.24187751687953,37.90400776117547,33.25010558900683,32.43817446519072,35.00455057627183,33.99350845533462,28.945499521030754,30.350427568235965,31.463588892574197,27.339302318860277,25.91249221097243,29.524421417906698,31.397620891649545,34.27181851121816,37.86710101696248,37.75369050278245,39.31992914583891,44.266859492630495,46.817701700133675,49.44003360856816,49.371627681781504,49.04227596245359,51.38815491310984,49.17247614097233,53.89353323144003,53.12199296254337,47.63881974877615,50.383263165162134,54.45299366744519,50.85262860446186,48.93203205443629,52.6500294374917,53.33869652661897,49.169125930050775,48.74540905571588,44.566843155977075,45.80621648237191,48.00270648411521,45.6095363017887,46.54229486339998,47.24723133911053,44.61166273112548,42.48543405427005,42.39904570818556,41.27955667911502,37.661610004786226,37.116956956027316,36.65760929623398,33.68403048603247,32.34509599816145,36.21618975122049,34.396042023568164,29.76019648654982,33.002692413346104,36.56109139898863,37.49333380965571,40.78984313654619,40.99706928985955,45.18876752450702,43.19380912912458,39.04927040663879,43.51537160979455,45.04938236459585,42.02825012899961,42.25711453064043,47.94057404264089,46.561133141844664,42.399019613183825,45.69468107155442,49.83770087523015,47.61843149663189,44.4024344254356,39.8449139594721,43.7300368849767,39.65564812366208,38.75055255060307,34.09226895538257,33.583406518808275,28.878804978736245,29.956116227347803,32.72769030516184,36.407366054662106,37.10034700913376,37.62580943649202,34.07930754393722,36.885294342285796,32.944449198414446,30.098841841498334,32.1971027599964,32.58869286354925,30.759153518743673,28.1169042069627,27.592385831758698,26.587734900082513,24.304672672742825,22.231031887484143,23.426471145627655,21.840462214359185,20.399292588249438,20.944409844074652,21.771911390111814],[22.271223732653315,24.542325030867445,28.680255652895447,26.713393299084483,32.13572101185795,27.36993714115218,29.395404333451005,30.582938742407332,27.657588688014034,30.350808556916586,30.30168731819911,31.602897794722075,35.081974004657596,32.50620826774784,35.51825696956837,38.22758770965167,39.075903721412125,42.562429428980714,45.40696876468071,48.668615047415535,51.56365065549202,55.83293206026342,56.50941950137499,56.218398593954696,54.16722646776282,49.68959834214645,48.44169083038397,44.353137419165435,43.84985722464356,42.58735052229911,42.69592716422123,42.69209972966591,44.11303944120014,48.20077515182519,47.9339368403341,47.47351544012574,47.234322848486684,49.43427627363622,50.32924282912707,56.568183865201064,54.0956613543912,53.7475762978689,58.0629953648624,58.91482952788293,61.76609212609183,62.42347621061745,66.32633084627399,63.55853502184067,60.38973122740756,65.72319944292408,67.28060349455991,67.35547384307658,66.90016855375251,62.6375108446188,65.4491800266185,66.89609747195553,62.53353903370342,61.75786497306157,66.27093954123524,65.8357868100234,62.385853384156725,61.54967307180557,58.509282679685036,60.2319286076935,59.419114199017656,55.54712146891756,51.88094158756198,48.211779743958175,45.183355262356166,41.4947139318472,40.9236102020415,41.434776443335586,43.21439424010203,47.90365052598755,47.245054629839615,52.85709366463621,53.64923893730634,55.28048929793942,55.78301477469671,58.535937123691546,56.51930308939578,57.64183393156145,55.03165461461722,56.69784030349423,54.44900674304553,52.09178354872578,53.26633044765992,52.516306240520265,51.82312250053546,52.45883953795326,49.50789220901551,50.755285935838,46.67618894000855,44.23748879774692,40.31956921961439,38.44514971874434,35.091894180945346,38.50522470577686,36.51246863603673,36.6975172661056,41.34564990531058,41.51589303315646,45.06697612730316,44.37901624008995,49.33740279260021,45.1984122099983,47.66571959489111,47.76174466829097,43.64251212083202,42.2100319587114,38.169084689513014,39.12777136557722,34.871692024516165,36.958950856024494,35.86434857048806,37.32641490100854,39.6687045188539,41.23982789969568,43.951917447121204,40.94480573164392,38.19422518425009,35.33505305072509,35.02048367938193,33.6426177938836,31.680627119043947,35.8873991683476,34.19499400250918,38.54240996703966,41.14660705061228,45.39547762750255,45.97705935415824,49.81541585255427,51.39389408294146,51.08815710910342,48.39662360156913,44.34847374918819,43.2839544709206,41.738655348996254,40.21063324133961,42.481574519307976,43.93675896122955,48.233184069700194,46.272991931834255,44.53800553356197,47.49225365841037,44.5905260406127,42.04161010180728,40.07248803860457,39.68419370605599,35.51105887032641,36.13163342618464,32.669089920862035,35.75370450551905,31.35436951052536,32.86624620614557,36.355305443645676,36.39908521978555,38.76768717932876,40.30123365934171,42.096798338696814,44.052929740060954,45.865041394571584,45.69079916418912,49.761037600819336,51.76399363671645,49.95206236160879,52.33435486413922,54.396337288912946,51.78834339433981,48.26773956856223,48.302995636554904,46.26102558942875,49.29218068340921,49.343028947368786,49.21864337006793,49.09036356281259,46.528615647224434,51.59750066611504,52.49151931510574,53.59674473007381,53.49303366123631,49.35896066127778,54.45822323903619,57.25330891081964,54.89623799301402,58.32093191941513,58.004660775388544,61.7111613280143,61.852007208437726,61.056403196195916,59.71398433964441,58.75587317325413,57.230130032699755,55.30576835162651,55.206776729651295,54.954211072700076,50.217638968877345,50.412468008536955,47.12699007730025,45.00093313349288,46.18444102740941,43.47679182940283,40.78749978681598,41.631409428808546,42.20581113149781,37.73605528130619,36.53407352813668,38.804157010576574,37.93036996024756,32.85483177659412,33.73840229133972,34.61295651116715,30.796754867794515,29.01727958892552,31.97846508349874,34.07498753625046,36.68754540678036,40.3523436740704,40.74769016571506,42.130034849867826,47.162825945879185,49.32062616538633,52.32719482689128,52.68167871252539,52.737429444258524,55.34800037981968,53.5290366216254,58.20040419737171,57.07123661955089,51.806004471073685,54.853024502868976,58.670648176863835,54.89353121607788,53.29182132978722,57.181583407898394,57.424755888178304,53.17330074669133,53.295687767023786,48.994271432499225,50.74586176191278,52.838704166836926,50.28321667985845,51.46787263078613,51.99007184505791,49.70840338405593,47.461613107256674,46.969947994539346,46.08278418483166,42.672730320395296,41.681519197070266,41.03765642084077,38.157863891107695,36.623874739054315,40.078491885926105,38.140866134711246,33.49754869602936,36.361679950180836,39.73479481219439,40.803718898588514,44.38487557377855,45.050718382971866,49.07250187742931,46.583820649488665,42.74587718713546,47.46572756430256,48.536985716721645,45.389841809865594,46.077298112102966,51.553965780576426,49.68008154905435,45.74992566835493,49.42000654273455,53.186079778774996,50.56360313922671,47.46957156080767,42.91051015025853,46.302036189539486,42.0848643451392,41.016459602180284,36.70464934054431,36.777015421872,32.36624339352893,32.98783845895059,36.06263314985372,39.56988187667671,40.76382328734396,41.5591690073401,38.55897919281617,41.70603436404579,38.02032134359367,34.999839451209816,37.45112952423518,37.61519011550338,36.177111619191926,33.45095098987113,32.37357345028554,31.54777988843064,29.83083078151016,27.10706092036042,27.862287215450852,26.541637886824248,25.31873014117004,25.942460172431584,26.74662975720722],[18.104599563361727,20.606344336657713,24.736780820309914,23.694393215480616,28.876833014274943,23.77155640343707,26.161541697626934,26.913527404847095,24.598990856318107,27.983756743254276,28.10761867237647,28.798483458775337,32.62672473429805,30.78414700418677,33.73890459186218,36.10231492569462,37.25160141689133,41.05541965110031,44.411132575886796,47.22588022477856,50.48624241900736,54.55694134759815,55.61094779662503,55.45394404473839,53.01584203110204,48.62515184197953,46.89990872307372,42.696023880939684,41.94406585105767,40.225389142361756,40.85218415924117,40.082715099498415,41.56020789872472,45.93845495205056,45.522700869706135,45.37443502704325,44.5951779144435,47.27405172116553,48.12369441271373,54.144731235276865,52.00795005310417,52.078291108862935,56.27938975923787,56.95350945097142,60.048511173300064,60.665919727229685,64.48033008506938,61.51273085111377,58.222605069635975,63.47656529206029,64.91464289467343,64.7124676751373,64.43335643538059,59.96533710014833,62.775841128109576,64.61878358773944,60.40311479584474,59.49914087443466,64.12071154620381,63.95062581397021,60.75485178829109,59.957433882162356,56.87233089830781,59.062561071049686,58.14924867988108,54.029764024548,50.90560474627153,46.99245343550862,44.46774399846254,40.65159822333922,40.48026144269321,41.45556771643087,42.723280436695475,47.3782662496357,46.13408818335447,51.71832193345819,52.126409368972,53.51162368968264,53.77023809322315,56.42113213879488,53.97784399754819,55.00164739943999,51.96628660202697,53.61650606872324,51.70195829940547,49.37828901712543,50.946465595144865,49.85655147840793,49.77920026305395,50.28123587033798,47.74064223910028,49.31189124403807,45.136836384901926,42.36695254647125,38.39592488458224,36.77733166115572,33.37286619365,35.99439480836284,33.599883189805944,33.08746416162085,38.03721904247461,37.567595080100084,41.53785954872573,40.40835697970204,45.426580777447846,41.194369831242945,43.35107652872317,43.61886943877548,39.47506793025495,37.96606020168802,34.14441893462653,35.61746311678094,31.61547285700894,34.24368523982024,33.65918349289361,35.52569495196688,38.087265143856506,40.076062960796264,43.111427390593775,39.77694944270125,37.279699708541415,34.12066052674242,33.90657027707607,31.987710976657016,29.464607903504287,33.38498087032118,30.837942788983035,35.26058892237783,37.54531064080348,41.70473750713275,42.389979511308454,45.96176009031748,47.91746268536719,47.41471235343088,45.1873899787091,41.33882759956174,40.383218202603096,39.30482806702697,38.271304010148796,40.525559749901404,42.69424397825638,47.02109469520792,44.918119574738306,42.812674251007756,45.54012535763426,42.428899439836584,39.82539256598735,37.44212047285955,36.571577997876105,32.26885219172759,32.244681717463735,28.739991434985896,31.339857461708508,26.789531406270907,28.85964795668194,32.42173609792471,32.8894055958847,34.93231247372985,37.01450374673218,38.48810160711407,40.941792557136644,43.1435670035789,43.29993866030578,47.254891927602806,49.283836751714716,47.87289849273167,49.834319021120365,52.16633058353957,49.36938033263619,46.01987447712649,45.70284040022271,43.75642151826296,46.49079550724869,46.3167231897807,46.1248508140531,45.6766110894425,43.384377868238424,48.16791675732412,49.35152524756715,50.161686404875105,50.352808591334195,45.80627318315392,50.927060843042234,53.854071704514766,51.77751963689056,55.41195250859411,55.42181086914191,59.087414817160116,59.37628977182967,58.592204087747085,57.166469758897286,56.062584785553284,54.34897974514395,52.21102835424557,51.87152181086827,51.447867180179585,46.77594182358005,46.58552942925277,43.21632014149182,40.839359365982475,41.740410326878234,38.809156404965464,36.41738755463625,37.35709438286392,37.526147954249254,33.06117043165283,32.46708109437443,34.378985445256966,32.97345551377284,28.287044363536115,29.395125266561664,29.92618116440137,25.92427786311878,24.747214487190867,27.77170826571535,30.11051086871493,32.259542524688186,36.58329199291844,36.541781891977685,37.63968425099906,42.616687872747704,44.77336490480288,47.685316935022165,47.74611149879735,47.84296566487247,50.34599462512846,48.532688617530404,53.30052657110652,52.305536718904165,47.182288411570134,50.19469372294322,54.16793955784095,50.59150682981852,49.02077230146282,52.95019507236775,53.4498990284717,49.30855687570399,49.49185059720094,44.93466928805511,46.42666602457771,48.28601681079877,45.46145070350043,46.48115882328629,46.73118201144298,44.5570765226994,42.51607969222949,41.72919258488832,40.707328476103235,37.52138918338042,36.54114356358343,35.60377346059812,32.69336027311065,31.38062222669464,34.69765264315737,32.58721548123066,28.03942709175637,31.120215032165788,34.410951310964286,35.67937430408697,39.16615423839863,39.89387144277744,43.96881708681772,41.588575789312365,37.95478245978819,42.67054182296138,43.88432320937057,40.89224539676328,41.73440195888257,47.14628552000115,45.53001972916767,41.81537227858258,45.4559352324041,49.22642996432547,46.8783854862495,43.95063525900094,39.54288190397008,43.25471061252494,39.317989738805025,37.81224572628593,33.606950172469325,33.12687720462949,28.673775253963413,29.999090169178743,32.99653464496488,36.65347591887868,37.66050815243976,37.90093977582043,34.9277245891042,37.85892201905447,34.41851143906848,30.889075808242943,32.92525433264886,32.73021756336671,31.308815004130565,28.98385289201466,27.570268572981785,26.40288163727093,25.221160272853968,22.591704237204976,22.772294332199397,21.20900234941442,20.0407402748464,20.698443906826995,21.554604610435796],[22.38938137609889,24.678237380894938,28.329467468353858,27.271381293461353,31.83280044447632,26.07404957369673,27.83676958669806,27.80141645312244,25.037382919790556,28.257518611624818,27.620144492078147,27.884033275522242,32.34220546940554,30.54592859285493,32.71200318762316,35.19739105806524,36.9811028665513,40.43808550049383,44.049593858707105,46.833431856396146,50.07432179144478,54.217812607283435,55.35250429556112,55.566302530920765,53.18699055442634,48.77336381318078,47.13476443928215,42.93803014672053,41.66808534692214,39.69947503683957,39.45478796085914,38.87132477493178,39.739108113116906,44.06288880769882,44.18749428425885,44.42653424459987,43.89151683858319,47.0501587945859,48.29941580553531,54.32703190529932,52.491244108006924,52.07959501203172,56.147143792126734,57.22118384309752,60.46639745852746,61.4649929554552,65.1075622366223,61.87276923135472,58.98464569860235,64.37496642216531,65.44969705701976,65.12569315398498,64.57032907633072,60.02685878739788,62.4662681196616,64.29169732551946,60.12743053973632,58.81680172961001,63.33116874451412,63.55467144692626,60.136160394800356,58.872100480645514,55.553108920216864,57.824412808738096,57.305848198057674,53.206422335101315,50.020315304662525,45.95625221826678,43.596990400739934,39.500459372673184,39.5499120165478,40.20315761026739,41.17089445765038,45.96972401710139,44.58950230759419,49.804801622837765,50.68438705625036,51.696394260366944,52.36213959893278,55.35466843324895,53.05415942717653,54.57061877086102,51.569743361406196,53.658254890837306,52.015401432015494,49.25077861691128,50.50790705696809,48.98483831863503,48.77913590729089,48.618186193396326,46.03413772471915,47.13922600260555,42.95018265319882,40.15466809498,36.57009869213671,34.500729067961316,31.558560941241417,34.17638961477956,32.119813941664,31.460326629251377,36.81373912873646,36.93172125552671,41.01112147354674,40.522963718730075,45.98540627683676,42.15358264673156,44.57678491527715,45.32769177298434,41.452369952344014,39.41017596966234,35.85291255509707,36.99986141836033,32.839077447835386,35.58896014167327,34.415848293247315,36.64058802246714,38.725506220973514,41.08736817943941,43.44345082689847,39.748418768815434,37.531705931618774,34.511058000627855,35.07180061299719,33.3278036609384,30.98418233323473,35.31231956549358,32.945845333435905,37.28013413850257,39.66851007776647,43.42888749944255,44.791432733525525,48.18811578897399,50.114974112400134,49.085177777757245,47.23810622317609,43.29368183329188,43.027254613865836,41.59525144594931,40.451621182077716,42.250515172516685,44.47831606650429,48.446291574046484,45.925365620040964,43.9430980160929,46.30895385217807,42.91755873311884,40.60805971170082,37.937071455999124,37.2324616365593,32.81078789137863,32.83811996214406,28.747379360694232,31.027443320111374,25.924275264392982,27.569310601304252,31.525381477118973,32.32592074924108,34.871142559655624,36.81423992653306,39.0446555730014,41.91527700225569,43.616937713875465,44.45625231832817,48.10507753597864,50.7129446903625,49.78203384094861,51.90895284253144,54.538525423746,52.00651664958181,48.507480212497036,48.0144507862436,45.696791185390374,47.977375823275366,47.41456657325505,46.764746632626284,46.00258537119009,43.30249152560818,47.94690830687812,49.555923993683464,50.544515885315995,51.249803662562265,46.84637281170718,52.255993572648876,55.35848633775462,53.29331331190948,56.523511539210965,56.26182235244492,59.93457885193191,60.734075055522,60.183776964831004,59.02437181995053,57.996360411385155,56.56489063995075,54.51953224656079,54.28936458712329,54.13692189469597,49.59060362737722,49.36107346558787,46.26032878978016,43.46431895872876,44.617230168399445,41.298842175213,39.0377725251577,40.5887190935526,40.58490380855802,35.984294378965906,36.0667136213282,38.00992851738342,36.09260578633025,31.796798488691188,33.35569833621342,33.74904603957739,29.475918741219257,28.9269847661908,32.19771363093892,34.57818244184161,36.4989115838137,41.17116314332829,40.71871674141104,41.683826610653014,46.55242810107438,48.781542655158525,51.50697895361038,51.124748646492215,51.08151470973056,53.293059916310284,51.18911399854827,56.08270511100729,55.488882739907424,50.342593256059324,53.05659200930887,57.341898064677025,54.03654344536686,52.224579452061434,55.99457458640124,56.99029831224475,52.96548388719578,52.673722569536764,48.18321267575809,49.00945991822306,50.84955051196737,48.00265146179727,48.54147210621975,48.62275420549355,46.12256302562315,44.57374444191451,43.877450142838086,42.29641211624742,39.249314863542416,38.87557048514559,37.618996371182966,34.544546435516885,33.87800643679614,37.25303292023445,34.84679279557688,30.574628387705772,34.19859306851018,37.372411316994416,38.90493435370564,42.10562854164398,42.64044606376757,46.87653638283876,44.90352562414486,41.35219666644467,45.87473775012726,47.47971829781649,44.68753355274859,45.35597683970835,50.83284746970354,49.63337812952435,45.91799642548427,49.298135932770066,53.286707230686446,51.26181890014257,48.33378246264886,43.97846797895704,47.98293181552561,44.15467439212297,42.65753962296403,38.342454568345836,37.45568639095156,32.84208874437802,34.53536948596404,37.33149166310983,41.09176033698305,41.745669326199206,41.713171479780016,38.283680774445585,40.79395093227859,37.1029251240353,33.69834797346135,35.02260200677496,34.83353613533129,32.751036577037645,31.01938936942011,30.10797443581998,28.257572904276127,26.77827264436881,25.289487725354398,25.383011518394966,23.003059029222058,21.44169622071081,21.665921687320818,22.025782684071174],[24.806779211742914,27.40526091410256,31.35596701402389,30.60729096687969,35.396705860167174,29.803067053229675,31.803065770809624,31.79273843218285,29.20387286998297,32.495740579673324,31.869431209282293,32.048638513212225,36.57245436830041,34.796903796693016,36.90891605864742,39.39684719254983,41.228790777090744,44.65918872362895,48.24922621358061,51.06233033411532,54.278450434916266,58.43842724057824,59.54741778345978,59.749839954826264,57.41122417039655,52.98821548949796,51.37640599207694,47.18011191008042,45.91191684319889,43.911098817585405,43.583056009191274,42.97474828915265,43.713280092045224,48.04530694696816,48.27766755581804,48.60410267665363,48.04924982939374,51.28428429813465,52.53499669388264,58.54640861764441,56.72282066692307,56.3282195689129,60.39631527934274,61.46044549583998,64.70201328245226,65.67529196098832,69.32465384363307,66.10225869744848,63.18972119825405,68.55715932595977,69.65646998724384,69.30652832015153,68.78943330567513,64.20255086161823,66.6211069923655,68.48767377856666,64.35023725835435,62.99349397199734,67.49171164269104,67.76289418055134,64.33569357343413,63.018119130962404,59.6666383778626,61.93097691520267,61.473597374585076,57.392813062135176,54.17114655866382,50.11253042531084,47.72566761860131,43.615617801984946,43.635675187923525,44.15843827098264,45.16976968919929,49.99608619686695,48.65731976426261,53.77854799498561,54.7801586986598,55.70407960057645,56.45278198782134,59.496640086803126,57.180803497081484,58.73921507580784,55.66717689356381,57.77465248603402,56.19449734356644,53.43237171938276,54.71389547319466,53.105642060286236,52.942693441026876,52.64789062627082,50.08189949644313,51.05985810676286,46.88141212735351,44.08295311034576,40.61761312436702,38.44322238066413,35.63337719532354,38.187928788558395,36.153190217955014,35.25780560973892,40.78098877239941,40.76991428492195,45.000569454286776,44.40018629487244,49.86812388321144,45.97859626376246,48.217613244741216,48.9573155250138,45.012418209579835,43.06692730639108,39.56447905518714,40.94165905042806,36.87552111227043,39.68586560860229,38.6248770130458,40.813328533984304,42.94023470705402,45.24279194802606,47.61868785295477,43.964027661457564,41.7155061671462,38.71766863602765,39.193027205550045,37.45856069256722,35.08436051140646,39.314930318596645,36.7794836048417,41.14274083431919,43.413920731027964,47.24028203127013,48.44204010999331,51.796185583908716,53.8602125012035,52.90491670682328,51.0972874024891,47.22155895570746,46.76841320455478,45.507816615536214,44.41556839068949,46.32526613684379,48.51930571064349,52.55543678441801,50.099352460069184,48.1165203605145,50.522494535390436,47.145398964214074,44.813177727701216,42.134882490237345,41.351242133548865,36.92198060862845,36.76666730972148,32.68457228707675,34.69956477157812,29.442691399435915,31.31057294104408,35.358220997035836,36.352933057033034,38.81627805850537,40.91022459118336,43.04459938408334,45.99460680743226,47.79791095514055,48.6091132072102,52.28167472397308,54.81643186486136,53.81812068687519,55.87797111280123,58.44873449932325,55.81258510822361,52.375181672335046,51.904140892148895,49.69456554268359,52.034256865045194,51.492112180625575,50.873788762504816,50.052705509116656,47.41983503899386,51.97934234083408,53.667929340615665,54.580235051767744,55.32552128878055,50.808121557118966,56.17520318430807,59.28168983365445,57.28525134256737,60.61014965406112,60.42446326067515,64.08423670406246,64.78537457831399,64.2848357575825,63.047862846760765,61.97862008353064,60.443047884526464,58.31810344252395,57.99568689160223,57.688739697552855,53.10756163365497,52.754320140558406,49.50239113354442,46.78404806532049,47.63601224064158,44.36205930759203,42.268836984852875,43.54897530485141,43.324795513617445,38.86201923578145,38.956359364923586,40.57211977292807,38.50749976695053,34.414233180575046,35.729794275708215,35.80873455701592,31.70055663468489,31.197102067897195,34.03087818139778,36.64276621332517,38.14606053590789,43.127382302970254,42.83611456276022,43.532593010062826,48.39154748755345,50.340687941947664,53.26886422868518,53.0235300242813,53.27164120928389,55.58792770240491,53.7477240456359,58.644375493409555,57.897996097734506,52.979433602187626,55.85100705136088,60.04317105548673,56.728205051540144,55.12751585621971,59.001160797015565,59.83611062558323,55.8153697467117,55.864364952895784,51.222743563603935,52.22743154130035,53.91085373329032,50.85621411904749,51.44445973673532,51.25863731241179,49.024956124412995,47.544733064308765,46.4572677210228,44.91819137987555,42.15140947087128,41.54854995647522,40.002140683040544,36.989345357201394,36.36802000953945,39.35280215492938,36.75636334085396,32.61551796892448,36.082040381352265,39.023050028373845,40.77690667763486,44.08909382259353,44.9650681729768,49.095151858408315,46.86257443772109,43.65606544981924,48.312284599752786,49.677236760698655,46.89179517220948,47.92407823045774,53.215755022643336,51.81015865398538,48.35336152615417,51.945149127973544,55.67999126031165,53.50982590686057,50.73515414711064,46.447953079767395,50.233553794265724,46.42440041283535,44.676210718588315,40.6521769493289,39.9426039704555,35.523499081597535,37.16089424767726,40.0905820564636,43.776873848463055,44.66319279623482,44.61272463051577,41.51997217725168,44.142011724764835,40.66595330152965,37.03642435491282,38.379144462404966,37.920705952471025,36.044270564058614,34.45743515626898,33.144780647122204,31.226817211503885,30.267750966127632,28.519397593176453,28.14154518035921,25.769725041341687,24.40714193482808,24.667307533946133,24.998534977252667],[22.219210531480293,25.066200722293114,29.308579071886516,28.994351888819047,34.05821297834501,28.82840607122991,31.314655439353857,31.57962169097947,29.474996990015974,33.0655789555425,32.8902070152719,33.08832925086734,37.402599269206036,35.8239962845846,38.33531495813118,40.65648657812672,42.24033745101171,45.950198165917946,49.53894373559925,52.24827818085985,55.57611584769529,59.64111057885017,60.80684448024648,60.83154964605228,58.35620809730175,53.97139307425943,52.1798614661964,47.952668484346184,46.900885508790516,44.894033778774826,45.18709925235624,44.23495728781286,45.30147549732523,49.76352472189888,49.671030464371455,49.896312971575554,49.03315490035364,52.162166602860545,53.172453269991856,59.10241511052223,57.21573370241642,57.22541650792833,61.332952608834994,62.11641543532223,65.34090140582843,66.07415064013227,69.79730342849643,66.6746259763226,63.487329530710774,68.73992289779659,70.01430985454871,69.64623695991472,69.34321682226819,64.74290096440771,67.36853197734004,69.37973148586283,65.26287469874288,64.09223452635386,68.68408894200056,68.8206360180707,65.59368965986332,64.54485588351672,61.30301079480776,63.66119329773894,62.96018244178432,58.79664978821236,55.75864258701653,51.71245868386928,49.36685904683434,45.36946388837073,45.37013982447839,46.17467418388313,47.226478362365235,51.97646777315878,50.55468948328662,55.86751720510372,56.5130240285121,57.557367244875074,58.017779976451294,60.849134318532535,58.313272467091146,59.56688031915075,56.32694298898328,58.18093817196285,56.56826707746304,54.07239622212037,55.65781137774778,54.17005997103595,54.28066292912226,54.28998155839921,51.87435296359202,53.18821361345979,48.98253848059819,46.090564652307215,42.4102310962272,40.5321008229476,37.47132514682371,39.781931058225915,37.43770876694694,36.338939144877834,41.78917392784014,41.21118129748314,45.560499110665624,44.426963174814794,49.658383386892694,45.50738178166709,47.42909501065149,47.9479037988091,43.84124286835166,42.2055490664384,38.66674322444298,40.45382730852663,36.600089504702716,39.51647372778616,38.96115956532408,41.05547414026334,43.51531368290651,45.707364667425665,48.55925510717332,45.02508659982627,42.68526257285126,39.53640669028438,39.593117019055434,37.62140369349967,34.99444673500752,38.868269602899424,35.940694731216034,40.35295679940516,42.41464171294896,46.43494359041749,47.23547006605619,50.57034376727273,52.80800131010679,52.11655238298154,50.26089482294251,46.53918844846049,45.67679509735771,44.817676453934745,43.953527338779914,46.13618436323727,48.48466370443411,52.741769008341016,50.50711295340785,48.351303485086554,50.90040621695392,47.627375546773884,45.11411855380506,42.473072648964006,41.43048102245837,37.03517420958386,36.59429576351481,32.82483226196846,34.765809480274974,29.704517574071907,32.056463165015764,35.94451512825876,36.951293583247995,39.01169348856992,41.39826037419876,42.98683500166056,45.88005616793559,48.1047956180328,48.62489798443157,52.432578291703884,54.62064397774448,53.450527176985325,55.26079750862663,57.71466213033338,54.84724026508722,51.58265237894095,51.11406995894076,49.1866309096189,51.701028667338534,51.3170729327599,50.94578065614437,50.18386179249325,47.88672590420656,52.4044112378395,53.96658266291044,54.660751275099045,55.218268979848766,50.466649956292095,55.650941591124244,58.6918877472139,56.80262556790197,60.448554525091474,60.54110140803994,64.17769102287984,64.62370018706679,63.96062870211479,62.53189149356176,61.361692557168155,59.58040368332482,57.324966596200994,56.83522378474123,56.27038940884494,51.655376667439924,51.15822719672445,47.68469007309861,45.16574772949769,45.66493944109701,42.566961649820406,40.57373895370969,41.433117094844235,41.08548385258187,36.783014146410686,36.70750542239642,38.03974847846243,36.0340910256469,31.976774830320956,33.000903328452324,32.89665332503118,28.98853908347182,28.382237527200154,30.85019980674434,33.59879688566542,34.87833836869406,39.98744301839577,39.86062174034576,40.41669303276421,45.299147133995554,47.055911348369136,50.15025818582106,50.129996801908234,50.59329599367308,53.08010057441117,51.52092043138934,56.3652206341546,55.36930740050291,50.61583664552958,53.70082297409042,57.71371367202911,54.31289551431184,52.950033910837845,56.95586752640167,57.51989254693327,53.48227352100366,53.956058776532046,49.15508580712782,50.52372636805057,52.07435089255818,48.87563731106307,49.70302653370165,49.42453852553457,47.51703192340359,45.85465774468364,44.47109133794847,43.226181030864666,40.57002014570886,39.542827355151964,37.96597189191084,35.06884745920169,34.185226144060636,36.91294567178875,34.35224295976126,30.162885757985286,33.3144456630159,36.17820738698453,37.94040535243976,41.42012013175504,42.566652171925085,46.5643401847711,44.03181067902274,41.006118800351345,45.80583438390895,46.887690322610325,44.05407177609846,45.382762351618496,50.51604161465266,48.872565070662716,45.613193280975985,49.412969775519485,52.90490799412243,50.583631215915055,47.9411570312504,43.728084559231775,47.331306413357915,43.577304017484366,41.5895683055082,37.81693389790688,37.244435535290265,33.02569872590583,34.63712782555042,37.690209004017845,41.30741969319664,42.42580815333873,42.34822521770565,39.66442526493315,42.47623179563021,39.316317336032306,35.3904146279665,36.98862601758351,36.30771493892764,34.88473556073007,33.17598238192032,31.332243898504135,29.657724436141653,29.24671620845351,26.858373589892864,26.127740725814903,24.143739376800255,23.05393212973671,23.549594650659078,24.09077913072183],[19.41022367169912,22.40510034977251,26.72477875758079,26.96147344201313,32.02353576506195,27.020597552003615,29.85765566424436,30.178932754445885,28.58979668937871,32.47291388688545,32.63787283608307,32.69647877034267,36.888036234267226,35.64535784639505,38.373910826231224,40.469311848684455,41.94563540491413,45.88391764608157,49.5750666402703,52.07917617906851,55.55408760695286,59.47968896000374,60.777118008089225,60.72363629848265,58.06823563481782,53.75922895425154,51.73427466238313,47.490776212967575,46.5251616911282,44.41893314715584,45.257813335098945,43.897631358088695,45.19926562941522,49.78232102077271,49.42582586267472,49.65160544061313,48.456818959042046,51.60483907281179,52.44201856213418,58.225616378110125,56.39542251461431,56.77388691789545,60.856591702024964,61.410126145652576,64.67205652677224,65.24065860032388,68.97371031727239,65.87353863645532,62.492856456549305,67.63150842438245,68.97503863494686,68.53712297856822,68.4083207450729,63.77456017230659,66.52533248388693,68.72006121881323,64.66921877574758,63.598762328662225,68.25979700656599,68.36959364216766,65.35395035328158,64.49955648198457,61.33595688377855,63.862786362064845,62.97400899989592,58.712857495682776,55.95570753333981,51.881474852118885,49.71150500207641,45.78913081485385,45.882622331894396,46.9967815496582,47.92931205900628,52.58223096829173,50.96435580302762,56.37148858508617,56.667674579797776,57.73392998706229,57.929596363278016,60.57475667087998,57.80075852788287,58.81685891583568,55.383084874550185,57.05320719624228,55.50857778352715,53.21095854768295,55.08400664494616,53.608927771211256,54.049935953039714,54.242153537212396,52.04248679060707,53.66572860649847,49.44528284171264,46.43400435340128,42.619744334288114,41.03162314038416,37.81285211367643,39.75048156756238,37.12995849719973,35.75881955032131,41.151472034178525,40.05297884324306,44.529014838917774,42.94774069219915,47.99541262503544,43.6857084847968,45.32095273045001,45.738216177470115,41.558293316662365,40.10823851786237,36.636116123501495,38.79000113743145,35.18217704581332,38.26709497260904,38.168901687446144,40.286935907504855,42.98685016687237,45.203528074110565,48.41740076511736,44.903063547731236,42.59413593479666,39.30401526810804,39.126794985794675,36.88723057866679,33.991406349169445,37.51316908768622,34.15717055399369,38.56057034926965,40.38938842398614,44.469869113366734,45.05179868373439,48.28356240264004,50.704955692573066,50.12706725158144,48.3722389247082,44.82374927994721,43.75512414495386,43.27180702252647,42.68950432153348,45.00972580835068,47.63099274342183,51.99756787648163,49.87483439613377,47.52748769947423,50.08459011800032,46.84870437505095,44.22860933852516,41.53235063529,40.21443669306687,35.86363864469089,35.08942938204938,31.574262647848215,33.336215832109026,28.471801917359315,31.22761343109948,34.95367282221232,36.04343106708362,37.73088416147373,40.41055946627785,41.54837690187833,44.49845447910762,47.06776589812956,47.48459314798623,51.31850849892213,53.2829727874895,52.125072781344464,53.6571260888609,56.10217232534153,53.0664230857049,49.97193965139559,49.41011453436515,47.69236213480283,50.21420451087011,49.87385130294133,49.644812917226226,48.85141840614613,46.856064440943776,51.24658182341848,52.77998392971143,53.259233079120385,53.76420796778217,48.795909368939355,53.83948347355665,56.855342197071074,55.11043377397081,58.99151077643651,59.33715471225949,62.93683228698033,63.2674889236968,62.48507573432704,60.935083968073926,59.66166558747769,57.701875551498524,55.33252372515712,54.68396151918692,53.93051860374649,49.34654377072866,48.668763341167235,45.06508034953056,42.61456014820419,42.8365209021,39.80408628420272,37.952592073446276,38.586990298607695,38.071531849051105,33.88730629021919,33.874099799534726,34.94199990949081,32.84988598104283,28.93667996124646,29.8528678481982,29.556157763907596,25.732672032769823,25.25333640491017,27.51657683066422,30.385022107081678,31.42613442919919,36.75559015091589,36.58365172012939,36.99780994870533,41.8747104629511,43.5268483443011,46.675787095443305,46.70361703235975,47.27330850189942,49.82207098238745,48.41390388193862,53.236061990943405,52.13660943100396,47.510725232511874,50.693499549856895,54.632918867465435,51.24217848753211,50.01731968484829,54.09420526301444,54.571720387740086,50.56481636834146,51.28399055781856,46.349271096588375,47.85852072284679,49.27081078486356,45.94394615728563,46.87760313120514,46.505394029069485,44.81539287746517,43.081792615557525,41.47904074342152,40.399917786488146,37.85494087927685,36.57382018407182,34.94389264728789,32.12434380472948,31.116900908460295,33.66942999505632,31.123333757329327,26.92394877584967,29.927249668732554,32.74158923403925,34.52929713415682,38.06915420693056,39.36130445330329,43.28863493828681,40.63106463235718,37.743119325151,42.6023356459132,43.56840098814318,40.75471153018803,42.26700991287038,47.28729489615607,45.595932211638825,42.50194954061369,46.3842550046217,49.743527784069045,47.431485135983365,44.91046456638182,40.80169048402083,44.39534405055016,40.77549228222779,38.55025397037152,34.95207787519435,34.28373988595373,30.198310821598362,31.99867877231557,35.06510147449458,38.66176669152673,39.8411479224832,39.58848833007304,37.153693794079665,39.99466143498519,37.11167449805184,32.90376943908323,34.544162169737746,33.64554179420757,32.53004210846087,30.858340278032443,28.605132377485806,27.033501017627103,27.12219017482945,24.38372326799354,23.262688731082108,21.55738398091246,20.628946199724574,21.28639300060001,21.92808721209146],[17.675390355955255,20.70839277582042,25.31574760284525,25.357871125968387,30.843705193274992,26.445679822765943,29.53820929912081,30.457027695491114,28.98668031095353,32.74474776356844,33.30264813995396,33.76761189884599,37.47363477191434,36.03284254775692,39.2210852557088,41.32097986711437,42.33552369791493,46.387105758149715,49.790594509196325,52.40752207788678,55.79794570099045,59.71424679752026,60.870306406058006,60.56001100183321,57.960924735647694,53.66237023919567,51.70201545521366,47.50547435633387,46.91614882991053,45.08541087151987,46.31509108058513,45.04925742261663,46.70722643300249,51.234220924756954,50.58549175432697,50.490141540512795,49.29161018779074,52.00505493993465,52.60424448188854,58.41653601640672,56.32315040281319,56.89833665016136,61.07489173894787,61.43319097674221,64.53396870632417,64.87331976108497,68.7283731865126,65.84889849905805,62.25334044779652,67.31415518476733,68.90328316647037,68.61766391596083,68.59653002486012,64.10456721973782,67.08091269665661,69.17565899302711,65.06176396550086,64.28436092565236,68.97671075012008,68.7725056216754,65.83523626164703,65.26722969404504,62.264852313925054,64.62698329308628,63.51623231994344,59.309628401122325,56.46915264375232,52.55233709063905,50.17256073975622,46.45796950676448,46.33176024685986,47.53480495517287,48.75346689424622,53.3151020668854,51.91844179289761,57.555981430637075,57.6510651618611,59.01091447523744,59.01425495289699,61.46786704116968,58.72113421996859,59.45001035783341,56.121114033236246,57.51465368500394,55.710581092338515,53.69076133772178,55.648871087728885,54.53932008310374,54.895977690570795,55.53466281770297,53.25713855016264,55.08606696469065,50.899728314220646,47.990929806528946,43.958648106629155,42.573946283892745,39.09674783397449,41.247449598452384,38.54854933460301,37.49760697470524,42.52001638903626,41.269129412850724,45.52434869453432,43.68620519871676,48.40770375155756,43.89834837730453,45.45048183327806,45.501943622828584,41.185582163245996,40.110988134592134,36.43240503396448,38.62905123836865,35.08142280995426,37.92535960004827,38.062228926368064,39.84973388611112,42.77249746838921,44.65240461441758,48.19429337371834,44.98496296357472,42.465586710383626,39.18116655491402,38.51821609611397,36.31067334245632,33.46439202689226,36.761107210131435,33.53817449780389,37.93386061602763,39.76668757054121,44.09775987650286,44.214850459862994,47.612850185066925,49.93413303975874,49.751350444995204,47.63673687021787,44.11869842534972,42.58352496694019,42.22104565368032,41.597506565364675,44.19177607368667,46.597528115744446,51.15570857817304,49.34020646105526,47.01300892282912,49.83384757552371,46.83685155280981,44.064908488356735,41.66416667897505,40.381034306555094,36.17088250755172,35.560567830672234,32.45125216999134,34.559058736405134,30.140108016177535,32.922111437175325,36.3532816970135,37.09672464838968,38.56610828711813,41.150016907638495,41.91161145317503,44.446398127617776,47.20554904258314,47.11215782745441,51.14531715140707,52.73226731122574,51.17646344368151,52.695394814232586,54.87136710251278,51.72764456264058,48.70749197187603,48.34719886283307,46.853972124770515,49.7227803706133,49.68868964298171,49.76478252629298,49.25950184464881,47.4500979289532,51.99060316929961,53.16968148142587,53.61938837577014,53.71641415765366,48.79663329779174,53.62897777154125,56.483131569281376,54.66031289894665,58.73155170300575,59.16052375265115,62.75751756742973,62.77159873953322,61.7654093703163,60.08265113193745,58.80422254283797,56.72309814371478,54.37072075848953,53.71718660820889,52.84089395778094,48.19451084106948,47.648672256372556,43.903298136816026,41.819008284798194,41.95464484306344,39.26735802251741,37.24350001517344,37.430968704407405,37.16327364339204,33.09594279748382,32.423294207448784,33.56603161190189,32.02618765906841,27.72742373809705,28.230257373829332,28.142582293987196,24.614538571971654,23.46908306621608,25.477760551935752,28.243312906963876,29.605896216153113,34.47912138322377,34.737945602481,35.33598131434385,40.307664803212354,41.899487732634604,45.20556828346438,45.642440002421125,46.285745464333324,49.059101539435254,47.84397354980933,52.532441116497836,51.12349161241469,46.476956999442464,49.85970602148444,53.532270466284174,49.90516772361196,48.83551856177528,52.99988031903786,53.06694319763562,48.954937216528215,49.97903035706815,45.08622101594668,47.11580450580741,48.60445162625013,45.39596177104083,46.70270382361387,46.55185593790935,45.04019925116242,42.91229614911369,41.37252085961325,40.73063611366275,38.01569035587009,36.333014434367286,35.058340965904954,32.38914434476571,30.85162884924166,33.407868538216015,31.178278251360062,26.782423300335914,29.272185785482407,32.19352816391401,33.69184528279085,37.44802900407421,38.83340790414819,42.61471997499597,39.65256583429275,36.63981057599339,41.61427398805309,42.26259982812744,39.26521381711818,40.84632426577745,45.83009836228255,43.77322753759314,40.6236916653222,44.69054312185668,47.89069734363664,45.278451270305766,42.718000627348665,38.5413179560999,41.84065385511772,38.07232818380097,35.93975156067243,32.399844525701035,32.17950856480662,28.23713515764102,29.580772956117812,32.8226521810549,36.30354105183435,37.785738516305315,37.86435800240742,35.73990840576971,38.913398976258605,36.14789121143368,32.01236621240006,34.25946227124232,33.485588613396835,32.81410136826281,30.63143591197249,28.162582245424172,27.22510265633722,27.310425556707706,23.816724847475033,22.962355148430134,22.00115408288749,21.295307387677283,22.1913982259158,23.10343383358244],[19.764236376435136,22.987341545920643,27.60140305295121,28.275577824871643,33.624026775483884,29.295833055059283,32.554334762318604,33.23799247133145,32.072232220039275,36.03371718008459,36.561382568062406,36.72875635135682,40.63343920174586,39.44730030964393,42.48572790005338,44.48453838229843,45.68574219809065,49.77407941724443,53.337470024541126,55.82380782096439,59.306333205593965,63.167353776017315,64.43298956397246,64.18202489937427,61.495110446603555,57.22810011266691,55.14492709967706,50.92621909699203,50.217618869634464,48.20050236897782,49.46336754161364,47.946896059631165,49.47698449554787,54.09521972127234,53.51417573321412,53.61577751997619,52.24187276185534,55.200736732443914,55.811672949923015,61.51223103495895,59.57188950503175,60.26789510385584,64.38706140907333,64.6937835023287,67.87554005749213,68.1997115231662,72.01012377038532,69.06503116681594,65.44090441778268,70.44422040275036,71.98923810170658,71.57351919749925,71.64060158816821,67.04555387972574,69.98016328272419,72.24443302072827,68.21255342089516,67.33517556152492,72.04261544361889,71.98886600243128,69.12705798300802,68.50467075119306,65.45189891688013,67.96855706029609,66.89556075442492,62.62607678699198,59.93717475147683,55.94022695077413,53.71569308579159,49.931825023259634,49.92530934218763,51.14996447127556,52.22193877527543,56.80410576730862,55.241781387630084,60.77178602028227,60.86232802558481,62.05056618285053,62.057450359973856,64.52953758870349,61.637431250969854,62.3899741407372,58.87066699829968,60.2912474311084,58.68096529816688,56.65514164031094,58.74150826115976,57.42687953517503,58.01673256861549,58.46601702590042,56.33953564539066,58.14963940622969,53.940615924547835,50.92283473674628,46.99272363391374,45.57840887450957,42.223196390008624,44.074526600544665,41.299041296304495,39.834574200039015,45.09200144283405,43.56890830495238,48.068626611900214,46.0382994498026,50.77391264838652,46.2466714883987,47.523341137619866,47.657687290352506,43.33959483865006,42.30227123700664,38.82911708577643,41.347860059706235,38.00174222234033,41.051779256645894,41.384641906327815,43.29548720168097,46.254866575477216,48.245644582218084,51.82991488213682,48.529154708697405,46.09997216973268,42.76858271670679,42.15808811913355,39.82652284511963,36.83263447866044,39.95454368204662,36.366242942831356,40.7319470722912,42.329060674226994,46.59960974075848,46.65531711165548,49.86205051171543,52.42230316013005,52.20385625825365,50.338646847680664,46.98481175884353,45.398952857815004,45.326588352007256,44.91546360595917,47.527681604491406,50.12961100905908,54.69418603539003,52.859240118539404,50.432918769759034,53.16378936639918,50.10328500932756,47.3370265583998,44.78526073787507,43.301272163345715,39.07349702170742,38.107186710024834,34.977516026304826,36.65169754176132,32.07341127650582,35.144805850814876,38.675637602804635,39.733753707616415,41.05651992246513,43.91465515017644,44.54051821856745,47.3241797417568,50.241951311497225,50.29224840559771,54.255671108411036,55.81965120176747,54.39304822653088,55.705264251937734,57.92948128734854,54.669487672256786,51.78314737007603,51.306447815618284,49.927851059864246,52.68325757188214,52.56097400993349,52.60824532387792,51.92413387660174,50.248076591528815,54.58519028605048,55.95164457532269,56.2399728613788,56.50582914927125,51.38571023333945,56.168054474408656,59.06386403691791,57.41690048400826,61.59546054923754,62.188461319729775,65.74288740267399,65.75962780251629,64.81170733258486,63.05958901990174,61.704764062574675,59.494073213827114,57.015756383994066,56.20106595365167,55.14228325409469,50.54092551849538,49.73930551599735,45.88460226173575,43.78475384213696,43.533795660299255,40.82653599941623,39.125339348326214,39.12119415156233,38.466405160275805,34.62266682944836,34.26899905234035,34.90133475359205,32.996648867590736,29.22925700526672,29.58176520342391,28.99080197159417,25.680674619123167,24.95056325923607,26.417577905681906,29.455309975515778,30.072122762312038,35.47620438634556,35.69476962107854,35.85765780110671,40.702554804567896,41.957896653859564,45.4040962719647,45.84899979257028,46.801356660532704,49.601107488777195,48.66079732918766,53.344540843709446,51.859768260399925,47.55385207359348,51.02862236956164,54.640625388129486,51.1334358683047,50.289442003784025,54.516345705480724,54.545260291285615,50.536935694286655,51.87921681873711,46.80785949295654,48.84946222315417,50.077363261152094,46.60014584547484,47.85751289025517,47.33449500607725,46.132472046033584,44.19710425949874,42.18148671719739,41.5209721602271,39.21412551820063,37.36498495694791,35.69150534652783,33.12225170896185,31.781924775151474,33.81342360837905,31.349697811910186,27.259691327105905,29.61175468702252,32.167281206779755,33.97223547635247,37.73196271510638,39.47294214189167,43.11291988492857,39.97674433848165,37.47165508145639,42.48931376494114,42.95009836328352,40.08196843933925,42.070294365145045,46.762376607560135,44.64390399636034,41.90591101518239,46.09559589603221,49.00540573333346,46.406658038416225,44.113488276672534,40.152700992795985,43.30531094111131,39.756001695090156,37.22470341865571,34.129611182073496,33.84397444521188,30.20678271706172,31.761324552084947,34.9857151123762,38.366189493042796,39.94623851148576,39.76842976635285,37.9983891828603,41.096444874517765,38.65741404330075,34.23140146420255,36.22104887368405,35.071955376290845,34.5709009188445,32.77130932193689,29.908972694443545,28.742174068270373,29.496883452579326,26.03663424983838,24.50490098423279,23.425885114351026,22.919372570509662,23.786278392372047,24.57649472089695],[22.74510904208445,25.87010888191564,30.38874872641086,30.639159322074907,35.92564175693385,31.179533151651466,34.10755742158655,34.57664819587187,32.94397484300011,36.73490085815793,36.87565164800665,37.03669851467711,41.20824411004467,39.79599169006578,42.53701122923476,44.72923659365454,46.160048951461704,50.039708007844744,53.60805281868792,56.24366412384863,59.632937231036294,63.62359314882406,64.81809165743418,64.70441639979245,62.15267101201705,57.808077546851024,55.9002316639253,51.66729462108192,50.77702800582447,48.7535596418786,49.448988419459944,48.23600409351482,49.46268507245573,54.01074883416882,53.74107705559004,53.94258054662514,52.84129780665324,55.92492326341694,56.754195300241264,62.585625399630956,60.66916063897219,60.99687880934023,65.12173323898212,65.68132282756288,68.88360462682682,69.41449720455643,73.18987372732597,70.15689580802645,66.75036348293344,71.88435919905506,73.30188754483144,72.90390887544515,72.79031462166839,68.1673533377169,70.93326923787129,73.07942311892148,69.0042572488187,67.94979633375304,72.59743148110853,72.66234352769332,69.59063912182654,68.71383089819207,65.54063195869267,67.96468312518279,67.11751371796606,62.90966706581876,59.99970098454791,55.97332559401326,53.65492097197969,49.73967416215649,49.71607854010711,50.6535584456703,51.748390112564195,56.447351751144545,54.98540050055766,60.37328155098427,60.8238205092013,61.903481892208696,62.19404414220072,64.88795534571678,62.18156549382953,63.22371418892425,59.82283841021856,61.48704246178357,59.89656072287626,57.61468176612018,59.440306080077626,57.9982177547166,58.34001080343317,58.49673717005628,56.210080943174034,57.69732046649642,53.48354404177839,50.52746367051807,46.76951422114822,45.048474302052135,41.894305802346445,43.9917164745722,41.455002396039845,40.09527484705866,45.546269220336995,44.485268738226914,48.975638263496705,47.38309626746705,52.39586635309902,48.04157677773741,49.58617623262362,49.92009318978256,45.68338824154007,44.36836246744861,40.88155138760501,43.0993659693748,39.50710274121699,42.50686413085042,42.3928237350959,44.38596861818694,47.095516127241055,49.16553325588267,52.365255600985165,48.954198738297215,46.54663528200088,43.318242733490116,43.030802088753696,40.90492816453034,38.10276042843556,41.60691587184063,38.31804397583441,42.723591791866546,44.52664413606056,48.695071983697815,49.07430797548467,52.33286357635178,54.779327989906186,54.34699004399308,52.49619994373702,48.9707159615934,47.68546580862664,47.25849543579267,46.61448763777639,49.04788779935252,51.48443765033309,55.92256337180068,53.90240886250425,51.625109091352996,54.286541677478,51.1154842040809,48.470277324197724,45.8681580843753,44.59466984567927,40.26199763845937,39.51297370104181,36.02592502609218,37.74344171675683,32.81806372316171,35.58957979070431,39.37170718016818,40.48251986772064,42.18381958834987,44.84966662042106,45.96480268112122,48.84078567851193,51.42794486595953,51.71282446349132,55.613200152943904,57.479308918630124,56.148175242498056,57.705730014336524,60.01915949514144,56.92205293281131,53.858513520210614,53.40427801714625,51.77868232266548,54.44075331866796,54.1917050374291,54.029340812141356,53.280541467993,51.29146088858342,55.70146297074496,57.207176389626405,57.68334719972693,58.11900544372831,53.1453617456925,58.12727770186011,61.102288586723255,59.352241851230666,63.29069417452803,63.64707883533782,67.24404173092856,67.43843886134987,66.6627208168951,65.04964551231214,63.7676935239801,61.74230029548968,59.349988866305054,58.66880893854418,57.80125780687766,53.177172071919294,52.48372185014468,48.76413907166274,46.48559206152113,46.491905621123735,43.60746196466644,41.83198850177873,42.15716155614349,41.56300822925666,37.55717087934008,37.35337122560517,38.197129877574795,36.17725604962649,32.37712173017301,32.96216071327562,32.47491299900859,28.96062080795337,28.321241570490773,30.078969835057656,33.057640998956835,33.79633013903806,39.16597798652735,39.295930176794435,39.52369789651289,44.35881311232969,45.70784708668589,49.07377883454081,49.352605805327315,50.204003713675085,52.88843159906787,51.764249839369334,56.5243257299357,55.216659164620495,50.803685577672105,54.147032663854134,57.91248954704107,54.46042056135784,53.45345021012622,57.60939673721005,57.832234490261456,53.817102044933634,54.86976954037371,49.87848896285101,51.652429115980866,52.97413161234685,49.549306606400314,50.60280619421587,50.07475186691184,48.6355303272299,46.883014915855235,45.01251286950267,44.06317662073183,41.715833884415915,40.199142745584226,38.43478071471982,35.73231058434918,34.668041543777946,36.857027672444126,34.25164058421634,30.211246524984713,32.88741953062178,35.458943089370244,37.35321443388733,41.005728007244215,42.60727576922292,46.36641175966994,43.41992379355609,40.83512027519412,45.787200169774934,46.44496281394654,43.609234938563446,45.42991258209581,50.24173507846765,48.26751444398565,45.398384150950825,49.478896754582735,52.55468206321089,50.02482634732703,47.63361864868057,43.5864839578337,46.838397628844724,43.199129415614514,40.84461977549588,37.56344516174039,37.23304199872186,33.40342909494731,34.933980974785925,38.11988099030952,41.57055622332532,43.0211605499309,42.901319404052494,40.814300958341,43.810371347571845,41.08350154730611,36.8421236637525,38.6254422464215,37.60837557463791,36.705007833861345,35.021322350592044,32.541979294352466,31.06548728533692,31.418793396251594,28.441185565475408,27.13653860964545,25.558449261206007,24.842222589155153,25.522985398873416,26.163291944006442],[21.10320943936236,23.97472929743625,28.5383448179481,27.842480375917965,33.43383606179652,28.87705101408863,31.612100733401896,32.60739649787598,30.528451597680355,33.914276640075656,34.16137988786109,34.91030388693174,38.65251907813344,36.72872612806983,39.7888693302975,42.180398786765885,43.198710954718365,47.00416170428503,50.19233964101278,53.11307341686459,56.292550611966206,60.39060613553367,61.33234715431527,61.03833507489373,58.68919767705941,54.29007181837386,52.649676288514826,48.478235209348384,47.89268664244635,46.26297069914381,46.92537523102146,46.1909546200133,47.66109568859061,52.033936083252584,51.629708717703394,51.441612196213065,50.65302372445504,53.22571003449382,53.97405563617972,59.989704040052786,57.74304978645553,57.90879749562193,62.152720517693005,62.740634068289225,65.74705592475776,66.2245905273234,70.10951290119155,67.26724365263355,63.847307123852445,69.03387509326734,70.61565754067155,70.46126610937652,70.26018315810495,65.83719161673984,68.72897284904278,70.56808543268517,66.34440367665029,65.52466558741284,70.14910202190474,69.88487149020233,66.6982265075467,65.96717426867325,62.91028663053694,65.00762783976798,64.06834735308797,59.99867483216669,56.767344682086915,52.93181036798374,50.256008694044624,46.505374164868975,46.187058369108016,47.0178281679443,48.48982728448294,53.15416905386548,52.078131808165125,57.67183042014302,58.15239584867779,59.574422251645466,59.85537902860986,62.491074662625195,60.0479002695698,60.99298431655374,57.92804083991982,59.47551809182856,57.51142554175519,55.318040843281594,56.94423307145056,55.92112683787758,55.840702018327455,56.37982714037941,53.8046527256919,55.30646080552131,51.14322573639025,48.40981584782074,44.472912516881685,42.78365321548119,39.41929661870925,42.096723948203255,39.702947313453095,39.05248634362848,44.07788033341196,43.40859640245741,47.47477848914656,46.106856710773855,50.98679914941499,46.60572631770385,48.48628102256967,48.57290099731983,44.298622462324595,43.08492423378483,39.26490208393463,41.03386648230385,37.18674384429131,39.76791390617787,39.39621196384331,41.06146830925408,43.74997105518161,45.4963228984498,48.678478292114114,45.537455502635765,42.9061305467818,39.79914579089086,39.28441722487063,37.42856519496587,34.93341017355157,38.62120974845015,35.95459423988361,40.37769553910691,42.502955884755394,46.83496573816671,47.09784496463889,50.670689702293146,52.74539198491939,52.5293752133407,50.190257806014095,46.4601210886966,45.05111131393407,44.24733552505273,43.252149032283505,45.75624464313322,47.74449588472609,52.22807349329796,50.363160521422266,48.28599673276336,51.1813933907727,48.20345257567089,45.515981056700866,43.26261244128493,42.32601175851433,38.08037890101449,37.91042462984343,34.570285489561385,36.980334705262656,32.38123987822787,34.72624670085743,38.309446438719675,38.8757691937565,40.749117678061296,42.96629638609053,44.18354705445749,46.5491314578371,48.940591709639214,48.830921185764545,52.896753199634816,54.65653658903656,52.96328995910118,54.8356719211891,56.94218905747969,53.97552855849136,50.75951157958709,50.57763848367148,48.883257295809855,51.84737653328588,51.84503636084024,51.828891683515934,51.43823092169791,49.30217914063398,54.05102017010742,55.174371131329906,55.8811527191951,55.93198278174052,51.281286143391135,56.23954923064329,59.08638913838391,57.06068873603555,60.89747565150319,61.036575400217814,64.68048608431944,64.74247563087931,63.831910054013264,62.25587617011804,61.11326528291307,59.21311407407847,56.9994881412422,56.53915823478262,55.85581696815985,51.14155683436712,50.8546448106864,47.22815436387674,45.15121639470473,45.59676000154274,42.906553839697466,40.67336257410778,41.02534322952059,41.01062093074711,36.824528336130626,35.93415751545961,37.406517027497365,36.07769095015585,31.538838703464517,32.08512478574325,32.258946346691125,28.690334959029595,27.27699775404149,29.470220434424245,32.06206433619441,33.750263254305956,38.24474683653587,38.67123391252793,39.46886052485657,44.45878399903515,46.13926642646093,49.431554574999176,49.9177425374415,50.46589150768996,53.22593774938398,51.88607168377688,56.574142489222396,55.20553353192568,50.408391350217734,53.73008761067175,57.419782653803814,53.7205699209584,52.5307847910863,56.63323805437419,56.69091675779624,52.51667541560613,53.328965624601196,48.608751031402626,50.60258715057027,52.27760350849336,49.239790017239756,50.50958707714528,50.508371094705055,48.78325204327329,46.650537739417445,45.36747440894973,44.61816475637183,41.73619345048276,40.260277223770544,39.09971567774166,36.354690046993916,34.86496537795437,37.62167587426502,35.41083875747057,30.97908090767653,33.56587530627283,36.55819234514329,37.98786564891219,41.72582789865653,42.976138607075754,46.810948322173175,43.915799309136034,40.72769564301191,45.66396225645291,46.366736747355226,43.305176263849496,44.6934106427045,49.79410051371026,47.695645146958356,44.345383748117996,48.359499583093665,51.664667339160935,48.95719160335873,46.24795448801239,41.937305524240564,45.14194102437809,41.17634700298124,39.37200917116942,35.657526302132695,35.68439855090755,31.637676492117084,32.6156876032749,35.871220839709366,39.32691338614308,40.821253154385985,41.208873249579845,38.86835764464308,42.088186773616755,39.01186918889285,35.23399666134534,37.56127447682917,37.06715499752169,36.11580938227281,33.779131456333445,31.749279739968625,30.78972102341225,30.288382150768904,27.058834145942818,26.709065081683192,25.498278019711588,24.617817236691458,25.36192607601327,26.191729515020896],[22.734461676409275,25.80990718615518,30.612225319645013,30.41901873714455,36.225164474528526,32.282379599977084,35.41874762596041,36.658932606609056,35.01407934327344,38.53284544212618,39.079401559061125,39.82884250299578,43.398724257781176,41.59085633029322,44.87675362834194,47.16239850181335,47.99328672163107,51.93678474391112,55.04369532782355,57.925562567666674,61.12567838720409,65.15785102863805,66.08484157810277,65.6204612104099,63.236502889427726,58.88283362596907,57.17311677414773,53.02189375404072,52.636937155723174,51.03973674687775,52.06899356332226,51.13843512293581,52.76603744575212,57.20185562296969,56.627891559562194,56.381839427716365,55.399828954758405,57.866263335030524,58.419799068413596,64.3438651176139,62.02487260148191,62.492653681945505,66.76055695872428,67.11906685473687,70.06474619361242,70.31797971375731,74.26645651526951,71.55605381127263,67.9124176169235,72.96514444971044,74.72398342472934,74.57480946528234,74.5625274410616,70.15072164147658,73.19782059639573,75.13224449350538,70.93535507792872,70.26587741404451,74.93755661406698,74.55666006507315,71.5161096033041,70.97371056798106,68.00010145419071,70.11566952303515,69.02636549011454,64.93928419673831,61.791273479207646,58.008048647138004,55.31407136890917,51.67071069241715,51.29067346290603,52.214731669464776,53.77698545338077,58.38259387938764,57.324910423603114,63.000282663657636,63.31038203008122,64.79842916090305,64.92351779595415,67.41952971187519,64.84298930644924,65.56780404718718,62.386827977401865,63.7252246932593,61.73983955696249,59.78185423419793,61.62028856886648,60.68845118752789,60.78657411871616,61.49924603782081,59.016273483767634,60.66700444775234,56.50308117461911,53.73302450965546,49.72228780810255,48.16436399673376,44.71723309156463,47.24219671602405,44.68939324796498,43.83514033100413,48.84046882872415,47.74448199535624,51.907663360235276,50.110486075185364,54.737222493171494,50.15842184883011,51.668841288106925,51.522868907466744,47.12577257243434,46.28016755340143,42.50155710424392,44.65950510090901,41.08065648075484,43.67899079926161,43.728948109203884,45.23599911067927,48.159693877860754,49.71910180213715,53.23610786509368,50.27309484997155,47.555802313357255,44.40781034383583,43.51735202374078,41.559905586013464,38.94956554387777,42.24067106162261,39.29681551036833,43.67847290963994,45.54969501666139,50.04050777961958,49.81462363126424,53.32996881193656,55.570437672769316,55.67838576276474,53.282103527429534,49.75963805178837,47.86470819182373,47.489811304555715,46.68576831782126,49.4601895933444,51.45116652224102,56.11424320962689,54.516387763437976,52.35510694324996,55.391464132437704,52.55826423340107,49.742292453846005,47.583225391659205,46.45650180197945,42.304567170929474,41.881042301959276,38.84169002606859,41.068574421122996,36.61661026520009,39.32267489169212,42.798645673837456,43.43193004055229,44.970197536640725,47.41573025659858,48.167659186511855,50.446786636626754,53.17863253536949,52.770802786613146,56.94077270705375,58.332684041465434,56.4077842835417,58.04426964518384,59.9425792656101,56.75030919521487,53.75462906557395,53.64076778402939,52.2829433265451,55.44238176619919,55.62111764100846,55.844339515788526,55.5105195743743,53.67650260211235,58.338826006784586,59.36204599815589,59.86841778766863,59.74246517058848,54.91525157964692,59.633469939803625,62.3787307212357,60.47225448528898,64.59835666564405,64.98952890945915,68.58563993117767,68.35140201776015,67.30155270014264,65.52713058714379,64.29168474302011,62.14165271085916,59.81118611069444,59.17181831111257,58.173272723137394,53.45486507562364,53.013185304518174,49.138367405770026,47.390134189471574,47.33265996478647,44.941024637673394,42.906772632445744,42.63963567544215,42.43332947744632,38.60914778244964,37.46063647192952,38.44248320655978,37.237732107844955,32.942722955166275,32.938698040389504,32.76844776853526,29.736593505978703,28.159330996371366,29.494291089823253,32.248201393313614,33.42564880439995,37.990349441594034,38.8208643679956,39.31431109089051,44.22364890756291,45.44036951582042,49.038226412174936,49.94137481157238,50.90834043717739,53.90475524814572,53.05748228884617,57.60616793309568,55.858283329677725,51.43533022099297,55.04163826221913,58.3993485383988,54.61218008122889,53.82855165589799,58.07699286581183,57.68857102221038,53.535634892242996,54.999231996782,50.13382635897674,52.62951175235099,54.08549448910413,50.8650242176337,52.418169405855316,52.205843939601785,50.97793303609859,48.71001510019671,46.965338893901546,46.57674766262301,43.991800933731355,41.99071487078261,40.71018322854603,38.20391904515984,36.47858601908872,38.66601636145291,36.48809793164522,32.235903808913804,34.21582757674184,36.885326204160535,38.37453182817409,42.29387401111305,44.01588118877236,47.54641464058741,44.1819550356951,41.45419993241006,46.52632865258927,46.71029516246417,43.62765360090898,45.528917737873705,50.24767546210083,47.717990755797665,44.789326384443484,49.110846770527445,51.91730763198813,48.917280244485646,46.48037420041012,42.36006358111343,45.06044189720387,41.19651735386505,39.0620468656889,35.94245030342991,36.37208439759235,32.83180621483514,33.565953469302706,36.95990755757238,40.15961060639141,42.069456191893615,42.507796513148925,40.86446620514264,44.30567543077096,41.696123025687136,37.67863729184499,40.258103272503035,39.46765032835514,39.07153755416177,36.71567452423482,34.08228236695779,33.402304581990656,33.608598281140665,29.789218835276028,28.948567437011526,28.204396704798192,27.682523639389682,28.58122157013203,29.499943161543907],[27.055385001099612,30.082695530474727,34.777622640720175,34.26030581956685,39.95568045734044,35.550707146186234,38.34279275820743,39.302229813792316,37.19322169927405,40.528683471441816,40.628335812344325,41.33185901412315,45.21202526372527,43.1791280685676,46.08898261491649,48.57870562646012,49.69173146412277,53.3763366362796,56.48915212200729,59.530095411095004,62.6156928888615,66.78888818668375,67.63514749451139,67.34270349487392,65.11856802500212,60.686218674429746,59.179523019844574,55.0228606916992,54.412134537026866,52.79295414172435,53.155705727598516,52.560267147260326,53.81267850485092,58.15640894882412,57.96120885584141,57.85397234378137,57.17495232626328,59.80747402909683,60.617974549217436,66.66829556323586,64.4024646875576,64.44685410168718,68.70377894602015,69.3605658062465,72.33586374096818,72.83351897663779,76.73272461895127,73.910658068614,70.5250437316035,75.72252194528772,77.31782545189054,77.17335067212991,76.95060666076517,72.51182481736663,75.35317413386176,77.16479589256943,72.9264171480028,72.04029784824837,76.63636049166452,76.41402763466088,73.13511066416537,72.28065584959205,69.16091097588756,71.17515750526913,70.36618880239928,66.35442149290684,62.95946900652191,59.148286853490774,56.35946187902025,52.568940209042395,52.17489056682864,52.73987000382333,54.3213275033699,59.05071137339168,58.11252558223782,63.586766879467156,64.33299729248478,65.67084421245737,66.1368028359632,68.8927942231723,66.5255162219911,67.591567480384,64.53284326164001,66.15514866352771,64.2197006073856,61.96622625371677,63.512432562376546,62.41251460183932,62.242146733220544,62.58488961530007,59.932382701008564,61.184163263244656,57.029515405075955,54.33728764354588,50.56045048545433,48.64095581259234,45.46492268485008,48.23940218592566,45.96985670679727,45.19201142532478,50.42246773513209,49.819358613017705,53.996602885248784,52.67083760763167,57.607960407752856,53.227107958287895,54.996581679157025,55.09373594695927,50.787623191245004,49.63035701221435,45.87164125712155,47.74364217908556,43.92230195095934,46.492169380832756,46.057118286586174,47.67094513253258,50.300720402852164,51.95880763967254,55.01483150885576,51.92436447438699,49.24901566581024,46.23257016074051,45.72968188989776,44.00377915391869,41.602184379037965,45.294217750666746,42.62755763741194,47.050722615132145,49.11468497964671,53.477554033909,53.616802957260255,57.15675776337091,59.30762400473708,59.16080451352997,56.82466688902774,53.13293662461303,51.57918344360185,50.844879052147164,49.80741016016349,52.36961520167479,54.18954931438938,58.69389844422734,56.880067265662476,54.88681971434551,57.82381182262208,54.85967524685329,52.19199168552589,49.95891637406424,49.04693899368031,44.78264510514444,44.55020874062139,41.12029346538552,43.32749477339276,38.496065398299805,40.898209386928905,44.644855391453746,45.37587603512266,47.31323804088015,49.574064724273086,50.86141581483255,53.2833622024296,55.65003035981581,55.535501616352825,59.6144740543709,61.354554091657555,59.56140622396817,61.45132621280331,63.459337594221886,60.443470872424534,57.265544873895706,57.15854012729353,55.53303545462493,58.56165240439463,58.58018322963804,58.555669376461665,58.12112803979613,55.94853728084496,60.656393869934135,61.86698004097252,62.567912632365825,62.66372568305824,57.97959306184889,62.91987101322673,65.76270766500173,63.76291381730973,67.62522126672702,67.76236870693238,71.40078880270295,71.41372152156359,70.51629029608603,68.8995724618618,67.7559308608198,65.80028479161889,63.555216477753376,63.041539861353066,62.23472337618486,57.50107761382648,57.14120972490544,53.39837785901964,51.43728731916817,51.60418791098236,48.99509018683294,46.92916091229586,47.008359409148504,46.79640443753613,42.80987295395009,41.89857680242214,43.02963502348708,41.609793303218794,37.35651134252924,37.60665602188797,37.45016448401266,34.18935587115183,32.817664004516736,34.40827802868976,37.16546480607827,38.345157355549524,43.01629544905154,43.712615045022545,44.19783689963211,49.09480864517365,50.3424756218424,53.896595798969614,54.60854258733909,55.51367590936531,58.388724058334134,57.37601040434056,62.01931130102789,60.45961190748527,55.96568686584526,59.442683029677916,62.97345292666236,59.268218167683706,58.33311144777228,62.518942501023176,62.348950617505544,58.19970364103983,59.38454310721385,54.56952109794193,56.762286849000596,58.281848761913295,55.06689298948606,56.38321617544915,56.103381213029394,54.65534564592468,52.61956579010597,50.953778077429625,50.24062270055216,47.66909203364531,46.00146552708219,44.549108550055514,41.90145277473003,40.502347797978466,42.79074416106982,40.40745631670792,36.22840834459382,38.56407811166716,41.211016732601855,42.86365353912217,46.67730439103596,48.30710790974044,51.961221518649616,48.77622895487778,46.036541942708276,51.05884379946659,51.44200262087279,48.41397088690328,50.19959155353873,55.01947563596628,52.64634687472463,49.63682410714222,53.85873982732899,56.81223174139723,53.902435467980624,51.3995993649707,47.219530365462525,50.0297398343447,46.10957236075681,44.09483825415571,40.82781022192282,41.15712087277763,37.43082835347747,38.219928703915876,41.56770426027015,44.846360863967604,46.61644766288908,47.05684287633227,45.092610790101226,48.40196214901939,45.514688793524584,41.63020927162798,43.94351754858758,43.23180554326243,42.415567186753414,40.25201540339606,37.9539607759284,36.909433342572115,36.791901687487574,33.49222214723736,32.76795407543672,31.511727491647072,30.71982299271437,31.40278836075533,32.07728164539085],[28.32101100988096,31.181012406968264,35.8775734688342,34.903234071240284,40.736168336841935,36.50930994244484,39.18326648344135,40.41206344628192,38.06687514463754,41.12737332671964,41.24244361911457,42.26100113413675,45.91029437360323,43.565114698434506,46.59514447651054,49.21225883923602,50.10996290597441,53.693848329299435,56.54222024291537,59.77671513185096,62.695356482254795,66.93879829582937,67.60115918884456,67.20016577055608,65.14962382799489,60.69168267530056,59.38844951219076,55.2941826497406,54.85955861461539,53.480005084366205,53.73195462321479,53.456564097585506,54.77862343433172,58.995715471597556,58.785003919460635,58.47612245435665,58.01459711620686,60.357737297667356,61.139461732372204,67.29041971866782,64.82837044740215,64.73684498407187,69.06072384783543,69.75460315307195,72.59179449767458,73.06297330911099,77.02181566093634,74.33149514023836,70.95877489581191,76.17566243758417,77.86904005247172,77.8842293992864,77.60245989002638,73.28080979291805,76.16279651825967,77.78078641706509,73.47010309708486,72.70120327739046,77.25264526828039,76.8462954088461,73.47899862095574,72.67637105984355,69.61546387259632,71.39698559984346,70.57590191171207,66.68341692477638,63.05889067453989,59.38463028628114,56.35989449527222,52.67582338096082,52.083337061718105,52.49487431157321,54.329819194288646,59.03558033515296,58.377012981157094,63.91176720517286,64.75743362191365,66.26736237962577,66.7832113305572,69.53698452394603,67.35418957869788,68.39824801653565,65.54459635633377,67.12024632076067,64.98406988328385,62.768513417260834,64.16510170251901,63.28771595924079,62.843162811788815,63.350355722069686,60.514110697626904,61.69277791838429,57.58939413817313,55.052859126903805,51.2381704462675,49.28114309634751,46.055781899878596,49.17915877870801,47.03883481724161,46.618860019684114,51.652286006126694,51.288876884143434,55.24698843370519,54.06561791227401,58.935749156069924,54.551964721231485,56.47888258023281,56.440063702798014,52.11667632424873,51.03381950674364,47.12175599031041,48.75915595907345,44.82035249236307,47.131215354868026,46.52704607197483,47.92448578690966,50.50316314696612,51.93374077882676,54.91695828228726,52.02228175667836,49.21571347343121,46.32185162424945,45.693025613415884,44.18312189782501,42.00771257502746,45.78652115404544,43.51076993395333,47.90302741152148,50.125342180633986,54.57087406852644,54.61374101019097,58.31676238075222,60.2663735937157,60.261415636389735,57.649059560820085,53.86075151431993,52.208785605210366,51.27330823345971,50.01611178537133,52.62076377656109,54.10850808091448,58.619683146950294,56.92205195193205,55.08699762944865,58.16145141252364,55.328153141442705,52.655639800659586,50.64501525392815,49.94039702827044,45.7422455032453,45.818372164100595,42.45734956485969,44.973083475152016,40.278143991633996,42.45182157609324,46.120607576595795,46.59622837372857,48.639385796200514,50.65101881499991,52.014263328237554,54.149029310659316,56.38106105356006,56.03774367631249,60.2017066587566,61.86969820755557,59.84229164455629,61.915357828490485,63.76568852245218,60.82926689118445,57.58140185100934,57.65855592122567,56.01756918946758,59.2284590876377,59.39516265390268,59.45193238333706,59.214042712532866,56.951779906015645,61.82782718078751,62.83844920230484,63.67080549522136,63.560355680551304,59.068522545334815,63.97835443108088,66.73762779195427,64.58917879652496,68.387460195557,68.38555987833675,72.0505271923267,71.92083716801932,70.99584578244226,69.40980863390132,68.30344307953618,66.43679093580005,64.30409386787312,63.9125559333414,63.18792950424264,58.41619550857463,58.26489515095637,54.55624658100812,52.740516901301106,53.0816057167088,50.60664392288224,48.341105555143365,48.36987772856721,48.42035544842613,44.3990745067934,43.128885736472746,44.50562555321781,43.42503091202418,38.87605517667499,39.03884848087253,39.14521179727561,35.93593769815512,34.20944649806668,35.86661978190863,38.44825211063412,39.992019336721626,44.2188164898757,45.136315121607055,45.84644516206694,50.79015826044048,52.11373138048986,55.68067992504946,56.54438419358869,57.37519111477754,60.31524343021456,59.26524383841847,63.855709651867095,62.21634601519625,57.596184830627266,61.091985681934695,64.53866870589947,60.69818166167069,59.7268943375119,63.896663911197074,63.575844611755954,59.35311259354763,60.49503714232362,55.82196943907033,58.18103278125256,59.8508247793577,56.81037104787819,58.25068636341748,58.184303560021235,56.65261868488768,54.440945666799756,52.996865058388956,52.394582960883426,49.62319296437232,47.93785897328575,46.72889245355565,44.08269397025233,42.49271199431181,44.9602748582699,42.73369988587439,38.41941791316313,40.6581806273289,43.433438367558864,44.90224167566521,48.771511757958805,50.30475186133126,53.952231358518056,50.7311057246611,47.78592170134041,52.80754986033315,53.13876433908319,50.00479738644897,51.64805354161552,56.54259496582488,54.04209179916702,50.86110538752061,55.0837091419476,58.07029692729846,55.015962142548226,52.393747435934095,48.115478746432075,50.77964520332649,46.70494091019002,44.96583034349105,41.59881383361751,42.19979009876364,38.455500626880266,38.892178000754555,42.267418215871,45.47642621070054,47.32361511942525,48.06665226419196,46.06871728282005,49.51117329454964,46.4892246085121,42.867610837477024,45.44611873544304,44.955741269662084,44.1529207627106,41.70074730276223,39.58090011361598,38.75688119541983,38.31793050732503,34.89585564356567,34.5241773276482,33.43950866983899,32.648034938144946,33.39510398749957,34.16210831970806],[30.713190804409987,33.55689232427531,38.13463890965419,37.08190979121705,42.72529767503728,38.08106591679384,40.496085312924755,41.395316215594974,38.79066991413019,41.772266851354,41.52954108545592,42.39487972767671,46.331725306566206,43.94664254308895,46.61056717738279,49.319587216107,50.514835993164404,53.909983126960725,56.85687071228862,60.120518976143074,63.002940054218605,67.31093650011928,67.9845774050498,67.77576298803697,65.78583983636116,61.296184709066864,60.07262351133324,55.971573466558056,55.28627210483277,53.806056895064614,53.5726957466501,53.45038347286496,54.45093709776205,58.61382249689514,58.70393917697749,58.57550081804148,58.27916095166727,60.847599029280836,61.846800412848445,68.03569084356427,65.70447398608731,65.3201493814576,69.59118406652073,70.516171771898,73.42593603495803,74.11283304280207,77.99420757337525,75.16352316263257,72.01166138137141,77.3280190984915,78.83376621747082,78.7974854923615,78.35358068501824,73.98454230187197,76.67540402129688,78.26071478392105,73.95551619056981,72.97252816785452,77.46476587189157,77.25767871446344,73.74207909911185,72.67003521826096,69.48157945438297,71.26467386430403,70.67573549262175,66.81198402335416,63.099648422030896,59.36412838111122,56.37766130851869,52.5556534867966,52.03955552629921,52.23238632590759,53.960635014907915,58.74748600898154,58.07358613231174,63.399995063897805,64.54673600541793,65.87012663987531,66.63230666739791,69.58233236311852,67.50847005742666,68.83017298599518,66.01480041745661,67.83038012934236,65.81403227803898,63.352633365917356,64.56147988164807,63.475202587909244,62.9165786111264,63.07394134623695,60.18180463186803,61.07119973090432,56.976961539802026,54.46252703960612,50.865884088112345,48.656858652300016,45.682066539648986,48.860351927096524,46.91566163219603,46.455693173767614,51.68157716819031,51.63975363273818,55.647274921645,54.804478565515545,59.925999709216555,55.72334752580125,57.81347254115144,58.02193327644032,53.798265284064065,52.43142520733809,48.60163665065149,50.071929093355905,45.99986259609072,48.36973681907741,47.44064521446076,49.00630662555802,51.35087929535602,52.955894786824395,55.57583818823523,52.508907918800396,49.81153322174927,46.99000175791383,46.73886844761682,45.33232055856463,43.24619965741461,47.29213333918508,45.10975206468112,49.51898343853321,51.83630203110945,56.1251345373324,56.521763287469156,60.17745265221476,62.11176895856679,61.83294127544371,59.38155705944773,55.49818236707402,54.191195003630654,53.03498150409575,51.68297277860507,54.07226441110983,55.56392337866643,59.91367614882526,57.98830489493843,56.231032885774965,59.14793806361526,56.167431446475,53.63247937488239,51.486711568911325,50.88479901517247,46.601007639387134,46.73173678333933,43.06810164283407,45.4680926688463,40.496534113353334,42.46445469503293,46.3278284181942,46.94640212400932,49.256479874122924,51.18430493200072,52.945615058463346,55.283474804037894,57.252183276155826,57.24196500291331,61.277943327400735,63.26161137462451,61.4579359860662,63.65940112158939,65.67174466313529,62.869706699412056,59.50253637095205,59.50168658945193,57.64202350018419,60.65197874188318,60.62615867779814,60.44742542982649,60.061971787098976,57.56495120836982,62.40215187105192,63.62437343686624,64.56955500171478,64.71530138094998,60.29320592300535,65.38499479524393,68.24798314168538,66.07923143514459,69.66847822249069,69.50083907947584,73.18904848884355,73.33168579264685,72.5277962041875,71.08476013522349,70.02885201956579,68.31166861746922,66.22445108438019,65.90056196934349,65.32672318041277,60.576771611118915,60.421586266116684,56.82807458547369,54.77279621972597,55.267976667685204,52.562122543731775,50.32567872383968,50.68571204121321,50.66085222220817,46.502528461087586,45.55698459197229,47.00084551525563,45.63938350995892,41.19498382309921,41.62343820384624,41.683613506939224,38.2385987101638,36.79964663625494,38.69754062375514,41.335516702712795,42.815753211121,47.28893413246046,47.97371902152428,48.63747747374091,53.58262878563745,54.95999730435123,58.4558611531123,59.078907986194736,59.83273796310135,62.633571025391404,61.41257154914575,66.10462649588221,64.67617194121493,59.998644935522044,63.35813716990993,67.00197652996593,63.2779384669863,62.15858324017618,66.27161147356809,66.22037279026794,62.024163520250895,62.89986565928771,58.2292582156244,60.25256685276172,61.937086380671666,58.866405053217015,60.062563752801886,59.90965225963937,58.19006505796591,56.21588840791333,54.81430456358287,53.91222780197241,51.18324835266108,49.79624388121835,48.41243043630294,45.64749920600464,44.36300007314734,46.90979175788687,44.49889429662701,40.25509625528722,42.82812766057083,45.593532577567565,47.22131765516808,50.98037972778219,52.418874539386316,56.19386085102042,53.169744642464195,50.21998101265912,55.19262122199474,55.75037445119899,52.69080852008379,54.23824768661425,59.23135770997433,56.94545208436002,53.71183165150062,57.82653737121322,60.9769087693551,58.08024386565363,55.418070499434705,51.10909374387434,53.9853078763769,49.92052296065127,48.1891254880369,44.674351373969046,45.04009219837611,41.111578907417034,41.76533447616404,45.082821567505455,48.40771497058762,50.07092384050932,50.68598272300349,48.39158386012046,51.65953051343207,48.44830254631314,44.85422064334449,47.12201178013354,46.642253840622345,45.49581147515181,43.28585010296627,41.39455996654549,40.230219391399956,39.622566420029735,36.66280509107477,36.279395280608945,34.79521485791195,33.782434289743435,34.344590768546794,34.884603177801154],[25.719212431116393,28.406057340109786,32.782634774993106,31.528385531459534,36.969429928719464,32.080306614485174,34.33392757192293,35.150073251195884,32.47206626988791,35.46619630563174,35.231279542707924,36.09085873141629,40.007015589040805,37.70123331529569,40.38638571424282,43.04508875303412,44.25514169743012,47.714114371759976,50.776167098846216,53.93812735961183,56.91193992056884,61.17423584411216,61.952129273104674,61.7942579982677,59.69518809160306,55.21846065772785,53.88621018094276,49.75668935596117,49.016279259991535,47.48910426557205,47.386970861848496,47.17387240392834,48.279304815529805,52.47216501167997,52.454072601547104,52.310222463455666,51.95440380094683,54.54782811943082,55.55093441192785,61.721979981649326,59.44696461146064,59.10391286099493,63.35263906918924,64.25886043603757,67.22481744143737,67.94650873995228,71.79010747950593,68.8996761484272,65.77249356968957,71.10009648871606,72.55423250022949,72.47730676491014,72.03925130977962,67.64303049667821,70.33174007011095,71.9423781007275,67.65739691033275,66.67181490051499,71.17941556094605,70.99096085362861,67.5307440869292,66.50318637444978,63.333845134728655,65.2110005395359,64.55877966386542,60.63394822750557,57.05333223291022,53.26298647526559,50.39215691618913,46.548070697063416,46.12966618937439,46.51505859862144,48.110452274785864,52.88193471670106,52.059008750844804,57.45683375895935,58.4322779070055,59.77956432099814,60.43574974538538,63.33114992683033,61.20462364318979,62.493782732505295,59.673193614583276,61.48876368086497,59.487616487962825,57.0091346912463,58.24529241691587,57.159738255051636,56.662432742272586,56.89927358517856,54.06447723004133,55.11553904047421,50.9977478991017,48.434226401869545,44.73779308827479,42.65816888742851,39.57065620399933,42.682464346036696,40.67578458761796,40.315595515879565,45.42877976595853,45.422689929743576,49.34529510270701,48.56802904902158,53.70400866012422,49.56303046579553,51.7904604106829,52.062105253559764,47.91020530927036,46.41651603034461,42.57517316891726,43.894416408765025,39.771172077353405,42.161037787498174,41.18666785003796,42.85375110893406,45.17586992313026,46.9212485041009,49.55387301888837,46.37861410744979,43.752149258410135,40.86407617060131,40.724131575054926,39.23296578881112,37.09759313542173,41.21857020676869,39.07298647186483,43.47423492263588,45.86350471212141,50.0624523610084,50.66536885419375,54.322061886583434,56.18585369958935,55.76838484611366,53.37218547212069,49.44160876313549,48.36771549395209,47.0890002125725,45.75355764932959,48.02476704189738,49.67748783869764,53.96300038177667,51.91993825877009,50.104438589157525,52.935381130495145,49.89526760792517,47.3828538436737,45.17492094174959,44.581718105910994,40.2945173922555,40.497613549887845,36.81765097799305,39.358603550955806,34.50109141268947,36.345388798195984,40.132701318317,40.64966179310555,42.99041324216978,44.85180231298374,46.668336988471,49.01616455107121,50.93493436465505,51.03170194015043,55.01427746219718,57.10344110049293,55.462837329241026,57.67793487584825,59.82680595452997,57.1007905055787,53.67340002210718,53.579633640241354,51.5990090263207,54.48631949467101,54.3825977903059,54.14309637164597,53.75012026729672,51.22229833072809,56.0820337386266,57.29029275472631,58.266785064385296,58.44732395029473,54.073262472090775,59.22138614595866,62.11576926283766,59.92912980913567,63.430276763118165,63.232421557946616,66.916754973604,67.14333068168683,66.44604349001729,65.05103411610506,64.03208867267851,62.3861502253713,60.319385347683216,60.05732587673413,59.62556986867025,54.896363923216995,54.80540049488208,51.36695355549089,49.15034381311512,49.92881922020944,47.10214673358891,44.74831818617653,45.440614705143425,45.56184009717153,41.227895276725846,40.411481938879504,42.152549324429,40.79555619160978,36.19872252580609,36.954054229144575,37.27522045052382,33.549149666555344,32.18330395505366,34.63603111438266,37.12063573104524,38.97508213127722,43.32519309362204,43.71014197318375,44.61749704274407,49.59075779824393,51.38472072573548,54.59531289083706,54.94808968101546,55.366050297847345,58.01470223258153,56.46845912339524,61.20590772849522,60.01190728682565,55.07841753119467,58.24832009285662,62.06728837056329,58.40219909966752,57.02675673075859,61.025937601081,61.25476494045694,57.07188790665357,57.53981138941952,52.97963569763351,54.71376987435886,56.53179738048741,53.62037856020266,54.69837829989811,54.759207910102326,52.756468427613655,50.78076767654905,49.728290308706164,48.7092429573379,45.74148553436844,44.62354444615305,43.44349429384836,40.580570644414095,39.334050431281256,42.2757423871197,39.971959147186276,35.58310418909414,38.448168557120255,41.469956366476325,42.946014099256075,46.57717921517798,47.65460679648593,51.5969911647128,48.898064125675546,45.589694962758784,50.43679105232066,51.32957431648589,48.28584943714022,49.455830694033445,54.683587127086476,52.709596692033195,49.19267164450844,53.068453718415405,56.54701702873343,53.88853923305067,51.05556137612537,46.65680294303216,49.90689011237776,45.837596432585045,44.29980603610885,40.4062382820517,40.446280592860376,36.24914892823577,37.11374230372072,40.283476766658936,43.75572648207762,45.11208080629709,45.63739075003774,42.96310983896952,46.06970484508441,42.662899417470996,39.21743005041357,41.36336422503847,41.08148113930745,39.706738478582636,37.447771815000486,35.90457159163469,34.69363023705186,33.67724824486766,30.997395132800666,30.96507271689407,29.340412766271378,28.217791897121025,28.747279572112575,29.368093895021648],[29.1464801185596,31.63789020176698,35.96127045099584,34.124263418696444,39.65449971321542,34.964360190809685,36.95969792065055,38.047103373953625,34.98358095458336,37.50639893124367,37.16019482820847,38.41888405113662,42.068451030142505,39.2925225608018,41.98937963730567,44.862295751313944,45.85847650231566,49.06792639430898,51.74752379077176,55.20585638156603,57.89768250210682,62.27944699987562,62.77904385384853,62.53178027760325,60.72747942563579,56.21578772173975,55.23213303872577,51.21169106520643,50.644734688578446,49.44373563946685,48.9796461397817,49.307033339432074,50.37460578107695,54.33716104940047,54.42170530288968,54.0532457478992,54.08398481359285,56.32364386615822,57.36269888893194,63.66829482885518,61.163716909189006,60.508693467779224,64.82370269416988,65.8679456060525,68.64708915573239,69.40751593249556,73.30227702769922,70.56048599876523,67.53924769389988,72.91589360963496,74.44002872470394,74.58461885222282,74.0004155028074,69.76655775755306,72.44014043676448,73.75472241601062,69.37412362832114,68.47980961827074,72.89353455015811,72.51390940693933,68.87237172734407,67.81138988875573,64.68518310202764,66.20636269033524,65.63512802821806,61.91306067552761,57.957919682956316,54.36754599020262,51.15880695302636,47.43863266481996,46.743336992724196,46.787916694924455,48.72921032299753,53.48319794844789,53.09152843377923,58.47004714814641,59.72436826891069,61.245415393962574,62.07652493407538,65.03715336599821,63.230866232097526,64.58953383767346,62.08774817229538,63.9139796938103,61.67835958149522,59.177438237621715,60.12163861798685,59.286439845452854,58.34399652474696,58.67898132519735,55.55898883001398,56.369787101764466,52.34897373332189,50.04343797308093,46.407797225845776,44.171576282306994,41.14258956050351,44.783274165526215,43.06297653244091,43.20096601958428,48.06890131272689,48.51096453816747,52.1248351320946,51.661633847102856,56.75749265543083,52.68837365591341,55.151491136487294,55.31007177204619,51.18306027589886,49.7246870764463,45.72880068515634,46.68089853326101,42.38588528507601,44.40520567028564,43.0799801980662,44.4714764006461,46.61535097233352,48.06954256940464,50.434868214577925,47.5109741058704,44.73850490652188,42.08685957090909,41.89884827522789,40.78960694034051,39.04459069968009,43.34189197320114,41.78990408562281,46.11934841137714,48.73302331458117,52.97977990662221,53.5406672165103,57.38440351548407,58.96860381256286,58.67309575120639,55.956713946235794,51.883624489728675,50.76830070261306,49.158117465584176,47.48350118133834,49.73530162913719,50.883596785414305,55.10740904976883,53.164098615243944,51.622925690428154,54.58868637630456,51.70462072694412,49.24787126519628,47.33299612922192,47.077001500053804,42.889387672085284,43.5374238172895,39.89053802365833,42.7837529366598,38.056637553135594,39.51237685571512,43.224545870886715,43.43418509201596,45.99152966177989,47.466535757990606,49.5088581814787,51.506339089634366,53.133188887632194,53.01179862848773,57.05594421252117,59.13592320522177,57.231308637036385,59.741301658518076,61.701584798827774,59.13552150800535,55.591641969020166,55.74007225126189,53.68483248290717,56.75719945916691,56.80323320298532,56.603278817090406,56.437913545848694,53.718942789308706,58.77403092605116,59.770951763280394,60.9634170516885,60.938989797884,56.872849175766135,62.01112543819805,64.81053338435797,62.419468933271,65.75407677973841,65.30631226858588,69.0196932623005,69.14113083808908,68.42717641540946,67.12183119716849,66.18143602095935,64.70788986114344,62.82092962185843,62.74358666962005,62.458538623434954,57.70354249213053,57.886842941074555,54.52293162255644,52.46102195414891,53.469679172915995,50.77810450562498,48.19843963688789,48.86965377232842,49.2870731112898,44.91392783318625,43.70697016890728,45.728080041698156,44.73006774693087,39.83097670577288,40.48820006782509,41.076867267051874,37.4185596503668,35.67538574388207,38.16204963227201,40.461765250053816,42.68699477452155,46.56580217244541,47.21364165486384,48.34953760286959,53.376315191645965,55.18989398564918,58.45407631303023,58.98811755046452,59.34020074696182,62.05361438737531,60.46243959766438,65.1445885820884,63.875063916032516,58.806434623921774,61.982312798673455,65.71421006903626,61.908969917064475,60.48089822996541,64.44707628823713,64.51964757022786,60.254802776567885,60.63811723926369,56.265657118313094,58.15599332263397,60.15289291959516,57.44608763601724,58.632387863932756,58.917014876445464,56.79683837533695,54.66427918449471,53.864231058292354,52.92733478000488,49.757831253809925,48.65862672613051,47.7137104977226,44.84710146157402,43.435235251628434,46.546603574478816,44.37868577883124,39.87436611003841,42.6410416004049,45.77397502177626,47.0868191819156,50.77627960591093,51.763629721867225,55.698603756043646,52.9579977958497,49.452738696748746,54.29583983774757,55.130563224679356,51.9764201100422,52.99259288704774,58.298048274487684,56.176107405525755,52.4758702348235,56.34633682472594,59.860658230766255,57.03090242837074,54.06531003937569,49.55682293284446,52.61450677987593,48.36097204055305,47.1549654704682,43.1629433010743,43.531737958991634,39.32188256710068,39.75919203178821,42.95924719711954,46.33914456481791,47.78206929828403,48.67266966041083,45.927341987203675,49.165273076927775,45.561526310022984,42.46846348827587,44.888456939550295,44.87182322587296,43.458155948022956,40.91321721080232,39.61713553860889,38.624796959391155,37.216244544571275,34.49085916396869,34.84473231261937,33.38693706701722,32.20101888411827,32.770046393051985,33.376683711404404],[32.98960590903951,35.630584739091795,39.96269990032271,38.472602071055405,43.87803039866825,38.88166551407774,40.829818027697,41.502483734117234,38.437267002481256,41.07673248765193,40.41487066562995,41.31744663230179,45.3733121325231,42.75963984362657,45.0429513337978,47.91513259674415,49.2986338953138,52.37606634858026,55.25389367544674,58.64348921440916,61.36660487874685,65.76747068146187,66.34660389722046,66.30943364047815,64.49658266276468,59.98106443357101,58.979527044170375,54.94227066047377,54.07122170608778,52.64799271685715,51.78328207542093,52.06736073958591,52.75810950495154,56.731982179265415,57.13980068357716,57.07193475447266,57.12472149999927,59.7315490134165,60.966688267087946,67.2321655804956,64.94604083893601,64.12329212981516,68.347194238425,69.5768268745384,72.47651835198165,73.41498470993501,77.22078801445768,74.30617745616962,71.44946645562712,76.88300046590946,78.20326082010803,78.22067859036724,77.52410473146757,73.22085925207911,75.69489930410518,77.09089861053974,72.76216620298486,71.61057353053424,75.98503557645753,75.88863036044461,72.1548686017972,70.8164340950922,67.53616294314514,69.16780073350955,68.8348635386057,65.09555420083734,61.167521260340834,57.46631660116737,54.40467308818017,50.517199695540874,49.97947468596118,49.841934283901146,51.57578771517768,56.401213145512614,55.88358026927739,60.993676409955754,62.52092426992571,63.75052166926846,64.81229850655012,67.96687420801099,66.15778996834038,67.77731136783876,65.18106969546808,67.2372020612519,65.22592824445303,62.511458949134465,63.38234070101693,62.22077777445178,61.33761263114616,61.22184200317168,58.15595298284277,58.68248166895548,54.657838721345854,52.297236661445105,48.93569674923358,46.44829492790983,43.736698096026906,47.20452681929288,45.60141990604256,45.41605512341049,50.62123388273134,51.16114431190414,54.99766207561011,54.69208761220076,60.0250807529487,56.08374850881231,58.507804321752246,58.92304159313156,54.85731536362806,53.18518345525455,49.3684629898024,50.41604009500397,46.12682378052747,48.35974798792185,46.91651789638873,48.539409812084685,50.533680272274616,52.21144956895503,54.317686995942296,51.17535636566965,48.563558449224445,45.93279432472537,46.08510358888488,44.95086496690121,43.14664237554007,47.54499180892865,45.7848561295467,50.143447837441954,52.68589514876106,56.78934162826001,57.59477152023233,61.28840251106862,63.024792067278995,62.48521957032914,60.05555092109749,56.0018468156322,55.11195797394778,53.52373447851389,51.91918330685042,54.026568846051866,55.322524944637195,59.42973846639077,57.293725759126374,55.73969897013805,58.519181603022155,55.46085582704869,53.1164521440011,50.97300940911873,50.65700468684473,46.364733003949006,46.80968424370609,42.88411507122797,45.39680875592617,40.30310362084816,41.790189126068405,45.74661294457513,46.30020709812963,48.98878485210224,50.59143565256845,52.88601061546542,55.23469702588111,56.755896821027456,57.00892316050107,60.90838607160789,63.23868188523465,61.590848931574065,64.06844152811799,66.19169898398346,63.64672050117617,60.09191775561674,60.10102414508194,57.94576830143131,60.79005082962121,60.62059432385941,60.20267846189708,59.78757471188626,56.95185535334909,61.840912694512205,63.15312949011274,64.3363337262514,64.64404460176131,60.49143884497702,65.7637308986339,68.68351015584811,66.38519809452382,69.634086516739,69.15481944524191,72.86838964532048,73.29321132473315,72.6009684953402,71.37899699284593,70.4278342010088,68.9891540644009,67.06142461909737,66.92763184338776,66.64089788673147,61.931115025850175,61.940648534884716,58.565926161273765,56.30243878389312,57.181824560447964,54.28261145486018,51.90940847912034,52.709411363409544,52.83175138714815,48.459736238626895,47.665676726543786,49.43974416592486,48.01595857716262,43.45223321940017,44.20475543230259,44.47371558355249,40.74269982480524,39.397496589106865,41.74641727897908,44.26995935781481,46.053910901655335,50.444908932132314,50.93135172414493,51.77707442238307,56.763657507906885,58.38054121376955,61.711505725971236,62.09369276718646,62.59537998656605,65.23332793504326,63.68867964979002,68.46068237536298,67.29281364640983,62.383369191617454,65.5324195152696,69.3880922714296,65.72777147201685,64.33330866996108,68.32369157062232,68.56372245542143,64.35615000247931,64.76493685017354,60.2483331436636,61.91361107724235,63.75727870596088,60.84059196783815,61.81053876514154,61.789576768725325,59.70874577496192,57.88083021010567,56.80825744473801,55.61902081584605,52.72403271770022,51.74666439729666,50.41796849555707,47.50526532326841,46.43614487355843,49.31125243940003,46.857192154164025,42.56376115946094,45.508010640516794,48.42904692343947,50.04544682957359,53.67359215248607,54.816760006720635,58.77339013803674,56.05270652337344,52.84317054213845,57.70777823712271,58.58724666930204,55.54671977933166,56.763555572052816,61.983446562298695,59.9505160624959,56.45520152364076,60.36392965877187,63.821540370136496,61.07987380713725,58.24357779869824,53.81614864838227,56.942322425824166,52.78905255241083,51.31729271068305,47.45396923912163,47.644170459155745,43.43490353428858,44.145869356174934,47.367831862699575,50.81299243894766,52.22481396367247,52.8748237087746,50.10716637087879,53.205725496864154,49.642765931071445,46.321025746327244,48.38831622658787,48.14363385210079,46.55825131539086,44.415180587025716,43.0178052077347,41.6449626717183,40.498518701601704,38.08186184516133,38.0376426639209,36.23481337136815,34.92297075690592,35.30371577824749,35.64340009727227],[30.226931205710617,32.92828958464561,37.13611746721123,36.07696600496634,41.215257784015606,35.87924859082493,37.857810765829484,38.1261071061434,35.27051058676508,38.23247386487866,37.49549318788597,37.980175847750296,42.36625135074817,40.16026441468245,42.25000797625022,44.9601420536341,46.660909433333565,49.86187334690633,53.123424983866435,56.24087863643691,59.20021607929868,63.505056365663776,64.34974366352152,64.4828313162067,62.42519500511997,57.94168852856297,56.65838271990577,52.535707484694484,51.397873039864095,49.64906306409206,48.897774819018835,48.77191818482116,49.36243008880661,53.503931001319586,53.9379524911696,54.14170692308413,53.92768723864365,56.931376045398814,58.231583383982816,64.37561774401813,62.36097886330913,61.68433927960995,65.81615746572223,67.0235760348169,70.11774978257176,71.12179253821765,74.83470222820914,71.72718767330683,68.88752263707451,74.30978283127111,75.47430966162966,75.2813140221951,74.63959364649926,70.17732268928731,72.56948835659794,74.21117540163318,69.98288979618995,68.65796150989608,73.08141735953247,73.24078591870104,69.61557345626431,68.19896777508265,64.83520521465186,66.79144302300223,66.47516342543646,62.57074519975342,58.963725738624525,55.06133853722651,52.34071597923328,48.29119608693882,48.04813728597589,48.150313898090374,49.5031175060659,54.36618775238367,53.437674253808616,58.476526765284845,59.85580452955024,60.854609392489586,61.84945795258122,65.01729128640056,62.97534557004588,64.6478930040017,61.802493800056716,63.95013454280715,62.204165190631954,59.40402895586838,60.44108799262629,58.97642633890464,58.437418812982635,58.09698721841047,55.270992639684465,55.908677011762336,51.806755647921165,49.22814158338133,45.90504300373342,43.46761766474989,40.811414884711795,43.828768062072605,42.073350116470635,41.46831677028009,46.925466931551135,47.245159078888534,51.32935602075847,50.93275559416637,56.39241300557484,52.507376576565136,54.82327344553162,55.45471909206676,51.45365465157596,49.60874386005242,45.98486512759008,47.22171951331617,43.03501039280952,45.587575686531494,44.28470487404321,46.223946585432856,48.244139650666455,50.26557061764377,52.42972777551311,48.98797833477643,46.574937908128504,43.77767656375841,44.162733130941106,42.75105296828472,40.671870744136456,45.02796580119162,42.852725096916686,47.23097673123747,49.62688051109558,53.57549780415256,54.61314457307697,58.111146133180355,60.049536307120945,59.26063606173359,57.19257701575785,53.2257851232065,52.57607203797383,51.15272181241864,49.79780264445267,51.79048860828333,53.5333653773489,57.592597222284624,55.25678867898641,53.501619246772016,56.06823624634674,52.81366694405275,50.501205357382204,48.05149698114484,47.50600784074275,43.11977948286083,43.23425332798822,39.16234934153034,41.33252778108253,36.05372618330395,37.7223332411318,41.79706649159249,42.65489792202126,45.27923131684907,47.1431046194451,49.433653225463516,52.15571837426567,53.78155598365084,54.388564493985996,58.151629631198155,60.64129189565925,59.35181375479737,61.628931221274776,63.99910416266446,61.405746247578634,57.90071185725949,57.656011641085044,55.45469920057141,58.01635525407048,57.62032461906619,57.05273361935602,56.3795712398904,53.603997677438876,58.29271478054567,59.87257848641812,60.92567607043708,61.52830369868603,57.17688424514226,62.528041727464206,65.56732977036725,63.43651279191904,66.70474653390869,66.35733107467723,70.04674189036672,70.67955961816467,70.08026837576459,68.86670933075042,67.85842357066721,66.37267959175814,64.33541697838494,64.09230465322199,63.782557687798906,59.13715283906506,58.92472997068539,55.587105952055374,53.07077971229144,53.87528804894122,50.756355317919535,48.579009714858785,49.602564789848195,49.47040059145438,45.07102845947795,44.77925637524091,46.38803235585185,44.552212846178776,40.30090697648647,41.302993466644196,41.37293862069036,37.47004686531288,36.59606060148014,39.08471409469318,41.736656001087255,43.24107554519669,48.07397283009093,48.18453568364319,48.85942779358656,53.782359627858575,55.466799448822876,58.65830838603188,58.72752774428234,59.1847104859223,61.66665239429959,60.02694252783987,64.87996189178048,63.9171901413682,59.06870874466042,62.100334915522254,66.13487468764646,62.6691951194545,61.20993102728059,65.16458126937643,65.70689711355527,61.5989257584849,61.882147920629194,57.252766001757955,58.57557320204521,60.28997900459963,57.23403602042426,57.97705148905314,57.771470907615715,55.659044384213594,54.07952635245141,52.88941208050123,51.478956640312475,48.74650519882893,47.948198414142425,46.39128580374192,43.431719755091855,42.658024330096595,45.476096129816504,42.86390928750078,38.71374111308453,41.91475270615778,44.76198490362731,46.54450796225858,50.02634253208631,51.12740970446114,55.15586366590576,52.63371726636532,49.540021938072044,54.33193837112542,55.41832099504722,52.522542230969194,53.74709051580749,58.96120866094893,57.21601672933337,53.81450822184189,57.61503961019007,61.162928557388895,58.68859804074916,55.925802783541116,51.58154971491926,55.01153897361141,51.03316911427637,49.33529365847851,45.45103031760786,45.208045006543145,40.91197908057363,42.10323092251993,45.225904254731006,48.800458940066264,49.99293731859903,50.26125086633254,47.36935533903648,50.23155679804781,46.73230849384981,43.1916550489319,44.848237124551424,44.42510418270422,42.683596595651544,40.90616964704924,39.484879909642224,37.77072224404311,36.81889657988288,34.74724364674198,34.415978513136615,32.285601906469594,30.937419199812584,31.218776453531028,31.466231484555745],[29.15819788889502,31.532881328788818,35.49489784062449,33.790865699605185,38.791157098870556,33.417566116335884,35.014991874302396,35.4245117252317,32.15722108519919,34.717121097811,33.86412099255221,34.684582798330766,38.84185085191115,36.29810187604598,38.397893226079326,41.259144580903794,42.80695694376677,45.84832515904549,48.899419036797,52.1811404825091,54.986190664206845,59.357899105827855,60.06127430645827,60.169766460944736,58.262980286018944,53.7581714784998,52.67295189819788,48.614271098257014,47.56287490991053,46.04563792664262,45.08149758354525,45.34797120496484,45.99448363471578,49.97024544257605,50.40243240777299,50.4023746900619,50.47182806749287,53.20337513347109,54.54404803904475,60.790004592282,58.631946883651,57.72224037081546,61.89301297841508,63.20391567360164,66.1932120169765,67.26201189072327,70.98486912120453,67.94834271627619,65.21975307953639,70.69291405798229,71.87054339873725,71.8301089369183,71.0678603854483,66.71893104501349,69.09902083099871,70.51395835504904,66.21761726169838,64.96660353373781,69.3281314085865,69.34245101649641,65.608905125697,64.19745375265884,60.88034040100285,62.620715626309014,62.32032395095259,58.52837822289088,54.7123354874297,50.92086658068154,48.01369512520012,44.033293873093015,43.64774506324232,43.62374392848545,45.14621675653042,49.9987214823916,49.30040778334189,54.394487133525416,55.86895724415854,57.038070424151556,58.093373319454294,61.275544251840586,59.460273873497826,61.16727593267671,58.58813408837123,60.74736337871747,58.81439629239718,55.97579610293081,56.78641300681189,55.5321627704099,54.6627449560911,54.47141203740199,51.44270962049959,52.013886576708174,47.96304812386208,45.55743386074868,42.192261216183326,39.7167186185106,37.01014423047911,40.44581931570333,38.8886482367191,38.81852051653564,43.9658813530817,44.71733466946193,48.45772278533819,48.394520224972894,53.83133355303494,50.064454243703885,52.699018023699935,53.28511263168213,49.373196482376706,47.45277647067639,43.694525858210966,44.48132235429634,40.106025122509735,42.360782035911214,40.70743470223898,42.513635998190374,44.35134271736305,46.26301657133776,48.19852272779779,44.85901284857705,42.39171040623091,39.7363189163192,40.20744125958547,39.045108350421785,37.25677934828058,41.83053827601347,40.192963584541715,44.49414486045103,47.13779790271175,51.040938125090385,52.219050568130534,55.86783365187401,57.50903155714153,56.70562730902855,54.41909619993758,50.297747576721264,49.820194126071144,48.01729748548316,46.39661982342959,48.259009365969426,49.72381216475644,53.66583139898506,51.303327624806855,49.7288452320903,52.3268049301413,49.145752656440074,46.904853562299756,44.64335363316949,44.39698797019733,40.09190568894229,40.657997977678704,36.59541910692506,39.200431622024524,34.1486304775688,35.346188056305664,39.288320264774114,39.7849169002215,42.63384614083963,44.09977146529516,46.6423550057701,49.07662798375258,50.404377097777804,50.92915421765278,54.693188133912365,57.270972618981105,55.90874186448762,58.43999157059523,60.76886809144406,58.37712046130644,54.729768203274325,54.60500298919808,52.23811794151262,54.84179485770463,54.50166127770862,53.91185124947755,53.425110576766485,50.45525384546898,55.33337951273008,56.72106326136272,57.986844403631245,58.44651965406238,54.400263125610955,59.78843655794782,62.77184435856756,60.45561607745637,63.506464768149655,62.92201078448437,66.63312148455994,67.24928055564948,66.72700249900092,65.63181333321758,64.71985348380808,63.44054919029948,61.57318849789899,61.53510327641438,61.46585770690636,56.82513149684473,56.893799711522554,53.75543062538818,51.24147124573838,52.472949826762935,49.38017904690814,46.919832723960845,48.198033007253144,48.43748155997923,43.87870722395032,43.36686779760921,45.4452887300799,43.92889608747977,39.318375692987594,40.498926073192095,41.00510449161089,36.9606845352476,35.835815125243656,38.77803425884819,41.136425225830074,43.23471065551681,47.55055256185908,47.641400218124474,48.69984640153818,53.67143797466007,55.69574777406947,58.69916003113576,58.711091435363386,58.84236119426559,61.25403632141015,59.31937440457065,64.14879394332335,63.30914334360016,58.151632730761484,61.028327086390675,65.12003537059887,61.589945436801,59.883618730970824,63.70952026641664,64.34536940936208,60.18922356157545,60.07059940552921,55.699491453428465,56.91240879872998,58.88599850518422,56.143667717721435,56.88410671822012,57.051934057795755,54.61239013178622,52.89494953251231,52.21573517033756,50.79268569686587,47.690902055795235,47.13160043488448,45.959555362730974,42.93110005641418,42.04042529381951,45.3175200988993,42.932481220293575,38.58276584336235,41.90822122223861,45.04496076859174,46.54960965192753,49.96659612875517,50.69405206979618,54.83575845628363,52.543858869512604,49.00380954051197,53.67390120559947,54.97439498949672,52.00655938045058,52.79416300005287,58.24609693190405,56.630236382195434,52.86065173395835,56.452233989291734,60.281703228941986,57.862444445980785,54.86319592174176,50.37536110335661,53.93365550902863,49.820811942035924,48.54912011654223,44.30733388014083,44.07093707113732,39.57321387423079,40.5844245110398,43.58914710079264,47.18896575536697,48.19536884803717,48.68782466242266,45.4347425359605,48.2589326417316,44.43961793245522,41.33702193838176,43.11183132069957,43.086598033247846,41.12291967788694,39.064760926758616,38.16314438227244,36.60646537713642,34.96067019271683,33.113605710525434,33.4197492731101,31.332252747542103,29.839399803396958,30.118717650660205,30.421329304106493],[33.76636764433386,36.11454775885928,40.077512952711594,38.17075004896125,43.18764867651874,37.856865351868684,39.27504159237894,39.68208947608128,36.19562440080115,38.46198641559491,37.38726210996732,38.30614958285441,42.43140835781722,39.65443001832863,41.52677020941005,44.51859583669856,46.09508645125559,48.85785414342116,51.70503342001548,55.15342644925019,57.74713694607319,62.19936175507323,62.732326120735294,62.88760870000563,61.20535173254907,56.69370913137308,55.86593941030966,51.90246964077342,50.82722854020172,49.445352454881586,48.006212713189726,48.65249436587306,49.06503335147455,52.84358567426646,53.525766217260156,53.518649537139645,53.88650553587213,56.53468492837239,57.99570319341176,64.29081853511511,62.08803862771501,60.86417898317804,65.01541682998749,66.52300541075684,69.42805143548412,70.61534791762199,74.31784330644427,71.30820041054618,68.753022369436,74.27607709679805,75.39465884520979,75.44079099797429,74.51466284446609,70.26773485204515,72.52444772950918,73.758797145658,69.43287430065361,68.1178300850577,72.37145943357403,72.3961018450705,68.48834723781732,66.90686290745201,63.55275484314276,65.07495701948575,64.97043923566676,61.339780725775306,57.27207700565253,53.59476718902682,50.52845124645586,46.58042354018523,46.07070716394762,45.677977989814174,47.34480254009457,52.1895748664319,51.759528292937155,56.65975818518599,58.49140491408594,59.62676651892383,60.93746475251917,64.25888494069461,62.689937644584134,64.57920284915502,62.19665264170313,64.47369916405194,62.493234717374925,59.54134236655533,60.095289043672565,58.85947772064231,57.694819185782826,57.33361337985341,54.13571099890957,54.36040971277871,50.41020542143559,48.19046309800575,45.050781272862515,42.340720241603364,39.88377482051637,43.58725314529669,42.31945047855963,42.44106596105412,47.540628235730445,48.65371573568355,52.26568515218686,52.50052677177142,57.99847733154694,54.35706120721201,57.117764936045866,57.744968194921746,53.885674967812776,51.902605591133415,48.139231318962466,48.73090586867707,44.27081773532749,46.35991275983777,44.42103564148429,46.128097740816656,47.753755251806204,49.54992520104783,51.143987396052744,47.90009800633302,45.42632419738693,42.97965446817785,43.57821070555049,42.68480472528917,41.15412421770426,45.85860161800389,44.52124314282109,48.77659818986243,51.52227942755481,55.381288908584175,56.6314138875309,60.324957864502665,61.84874670702991,61.019011698391694,58.656192367839814,54.46410510653345,54.05446650701465,52.04555957096337,50.23309925416997,52.00889263480843,53.178610655795076,57.001034403014074,54.62677882671405,53.25296443112632,55.84273185897859,52.704194482908214,50.57213360497015,48.42030349370169,48.381255006760675,44.124307475114335,44.88710472728884,40.751462215894634,43.38408389763536,38.28426043158549,39.23332643320183,43.20478016926203,43.656340813843165,46.695620642056696,47.94606843464959,50.752263671060625,53.102080980712955,54.16764320095039,54.71808773408722,58.437058118347814,61.12096950995161,59.70072907207872,62.4168734826853,64.68490391278208,62.41748550534035,58.695532459431334,58.67386071232791,56.217636984570284,58.83392868899996,58.496934132867,57.83041054972933,57.38161628714356,54.23222179956514,59.140971212570896,60.53243936083394,61.94234216703918,62.420616101327035,58.56155082563382,63.98861672145734,66.9565948232959,64.55022103182547,67.43164400297842,66.65626379561876,70.37505617930402,71.0868868288841,70.55167855034767,69.56102214491722,68.7168200383198,67.5679089062,65.80338197757001,65.86084767428933,65.88438368614946,61.25109280210531,61.42402007528754,58.327596568587545,55.83663986399768,57.14510197249453,54.05729487010122,51.552291420273406,52.85021964737734,53.143221663387834,48.57501026560285,47.97774074066877,50.109384341139936,48.64073827202163,43.99308440334322,45.12329011309404,45.64419237744428,41.6336715906837,40.42328301058445,43.289419691114325,45.640242105476794,47.76364685561768,52.01561395803361,52.2239686254397,53.290033849811216,58.282212905377385,60.216315684348984,63.300014429248385,63.37710012199646,63.547298430338195,65.97371943420764,64.04498456583183,68.87477896103043,68.02411106283921,62.860620727933316,65.7364283080605,69.81804868755306,66.2596119798739,64.54570069196532,68.36225713575226,68.95998715544204,64.77647265929888,64.62959314557378,60.31750870584754,61.543924069889506,63.55859460159146,60.85109503243913,61.568203470368644,61.73334589808945,59.24957157357113,57.572480728279736,56.917672211068286,55.44195875586636,52.35107677709366,51.842444602395,50.64066482442078,47.600202479629935,46.751482767813926,50.00379820162856,47.57455471820053,43.253412707888984,46.570283157769026,49.670357840661346,51.21366585588814,54.650712800098475,55.410349308641614,59.547241022677284,57.21903263971765,53.70110048953642,58.38704105616524,59.651779499438724,56.659968533342116,57.45848920569338,62.91262387050146,61.22222834561746,57.43712718886494,61.05570256929448,64.86767877634657,62.36378184506817,59.342634098432384,54.82195817488055,58.26798602821861,54.077448064180096,52.88941733809375,48.65155600401361,48.57407583722319,44.08994266687636,44.92209897156172,47.96841821250401,51.529074444322006,52.60145722376999,53.23428546116529,49.95183614697335,52.80442472801204,48.89804070789209,45.915200498733014,47.719678176716414,47.753554061524774,45.71168213207211,43.65340370390054,42.84115004043832,41.27806369550256,39.53127178060021,37.7583378609,38.12157623751985,36.01957296494282,34.442503886738386,34.64588137427278,34.81035998675181],[34.97704142703875,37.62078262952309,41.74272593056181,40.53769408955552,45.57198371370398,40.105325973304446,41.83097687778811,41.9221347122707,38.82683716333483,41.548217308476175,40.48594033959759,40.92972601468666,45.43212247558369,43.09132661577954,44.82008716845929,47.635957127298276,49.51868337291706,52.433994421472406,55.6237368755177,58.83455583888411,61.64287522859384,66.01327105966585,66.76666939086562,67.03848135231782,65.14849841943719,60.660916111806294,59.57074921114159,55.51901877113217,54.227310260046345,52.50202699786998,51.195393799908544,51.37329269652411,51.626673582945074,55.59913813177231,56.362225072014134,56.675948152077716,56.72754111606396,59.80593946102391,61.294569330235205,67.4634015893602,65.50767095369373,64.49122370908093,68.56482065408903,70.01740176424482,73.09713838889043,74.2875413442631,77.9373053938396,74.77086888654092,72.1599766817885,77.6518971827738,78.6689494493594,78.49678038811855,77.66196296039436,73.25702760012206,75.45435924349209,76.97064727733225,72.74566163434025,71.25894679732623,75.5679286477444,75.85606962561423,72.05438238190703,70.3848217039796,66.93039764804604,68.76229525414081,68.70014218906609,64.91786464852993,61.13516740395965,57.27507293167864,54.50490584706709,50.41038270785644,50.1484145296192,49.91055619065994,51.265244081474755,56.14664789680615,55.360253928888525,60.132791113507444,61.89552834080395,62.75011931767098,64.03967344826356,67.39662565364816,65.56296473648668,67.49839831590675,64.79488497148874,67.14151235500826,65.44673479016879,62.45263348718933,63.231762294033054,61.65434277328995,60.88716639196153,60.23144978311868,57.292688009115174,57.54870678263069,53.53056800530738,51.08309777401564,48.048791995311916,45.336762192761846,43.00089520537215,46.17562452886037,44.71885661841576,44.200259941487104,49.70667730063528,50.421441103618236,54.44011678010341,54.41002959290034,60.01916694669239,56.32445078336617,58.78560805252566,59.570207500226445,55.67057604938848,53.6521012354799,50.09204278422927,51.12380585832492,46.84376372280533,49.31768293061214,47.686544563771285,49.64922389553827,51.41019110562475,53.4519927207663,55.21272594337504,51.74275471691935,49.404056107959796,46.782982661470356,47.44339901811152,46.24756703195953,44.375938423647746,48.91694321801239,46.97567737920909,51.308562440473345,53.79782399298037,57.62073341810132,58.87704953373651,62.36104590279638,64.22017700732864,63.275979883466974,61.25852253134157,57.218080302590934,56.78284730053542,55.13868424462144,53.631619474918494,55.457497431820364,57.02716106954533,60.91887453338158,58.46518060281313,56.87171136157999,59.33711413740537,56.037968714770486,53.87436011338641,51.42440302617264,51.056002820710255,46.67797950598122,46.93363224948189,42.68393968854843,44.78169273012304,39.36777644789141,40.751636618282326,44.918465375760604,45.83232766259785,48.698206456011576,50.38194792593714,53.03485845323375,55.80922833753436,57.13252012089353,57.936284700062096,61.588279910892005,64.3004219529265,63.099873783091056,65.53881608204242,67.9498193136392,65.50201456761151,61.90678840520881,61.682663074110316,59.327714231134486,61.78119587442663,61.284362547562004,60.54484378792054,59.8101398263908,56.81287273978617,61.469512828667845,63.17161763596996,64.36529084060697,65.12261362253294,60.93044355293298,66.38187170258504,69.45930072678848,67.274339415853,70.32633715530379,69.78057691323905,73.47795374693324,74.32034753263382,73.76335575213534,72.6912435459965,71.74358711871804,70.41673817964389,68.47028706590682,68.3159803732285,68.1347411409616,63.5247306571984,63.36445117868002,60.11407304162929,57.504708144062604,58.41756358892124,55.201647268471376,53.02709576905054,54.21258711680968,54.069778117789575,49.62586685803915,49.43697383743467,51.092051754953275,49.16133574941382,44.96723862578464,46.04566712771382,46.09659232568304,42.14250982384585,41.34900415997783,43.86167715240579,46.52248054090491,47.99911865741151,52.88667565746079,52.971942133238336,53.617110735582045,58.531659932638604,60.16797771480356,63.36990953156987,63.3683192937431,63.82388188968411,66.24223718149598,64.53784027445714,69.4254488106507,68.55816960207423,63.703758385638324,66.66308100603747,70.7752925241614,67.36048859940185,65.83667587255944,69.75095850885364,70.39861463288545,66.29626362062126,66.44669734833556,61.86054036264633,63.02673241113258,64.75872095780959,61.71161289064034,62.31423617949969,62.052073462969105,59.836278445096674,58.41521158868043,57.253591416727076,55.66599694351362,52.98781689498781,52.36992020297644,50.71039206150625,47.7085762010714,47.117883280217555,49.92896487420293,47.21601894832514,43.15857276007176,46.47893693264063,49.26912206381377,51.14555000491795,54.56861102587029,55.648664585372565,59.71242974003755,57.26536353711537,54.21206590321194,58.971846361765365,60.131371127968144,57.2687998675344,58.464517735900635,63.69997812554515,62.00865944985893,58.596311037954386,62.35927854520709,65.95353763667967,63.50147081923811,60.72261037628387,56.360311302040394,59.80078002595237,55.78833428487533,54.13812562040104,50.21464700647868,49.972905403699535,45.62620991331989,46.79658932021483,49.91388445663444,53.50426309535956,54.65705347146375,54.9493397172641,51.91754694268997,54.70490997378265,51.081527882087755,47.63641599911615,49.15197462282273,48.76605410603939,46.817611741016144,45.18012212476586,43.928177668013525,42.06048501702433,40.973267393527706,39.193003914595664,38.88918850162141,36.599682845715414,35.10555567507517,35.25041340985701,35.29286968052963],[31.77825244279841,34.24877045565585,38.0374092928194,36.92094930453601,41.526065949196216,35.71532113257973,37.20667566947982,36.90826717769347,33.8064986230356,36.60606325751716,35.362322628657815,35.51170288847951,40.24497248578226,38.1711746267634,39.64117869795582,42.35678091132113,44.51054896148224,47.433248617109484,50.903133885303944,53.904488300602225,56.86228595479619,61.15720006379863,62.10843013604774,62.553159997391205,60.50097177323286,56.05271624502686,54.78757027583137,50.70451027015302,49.16482747031534,47.22409427835991,45.88062024112862,45.85320660684107,45.99796324937785,50.043179262529904,50.85470853824303,51.35613879940074,51.29799806613401,54.64796718875059,56.23794153896013,62.316159201129665,60.578996876623165,59.57007118274706,63.55102087274998,65.04781221131843,68.26630684469387,69.5692433663854,73.11397121818597,69.78729961973885,67.27717739162165,72.77598722682815,73.62392076797077,73.32076304946848,72.46542521898957,67.97018739234213,70.05921842774134,71.69724138248202,67.54539560731901,65.91092050259437,70.2282712834978,70.70962748910848,66.96362723492366,65.2056531293114,61.69060743080133,63.74217747644163,63.7165868818777,59.83364781718783,56.28138916654641,52.279304754068704,49.783110386469964,45.566976764891685,45.5489156131371,45.482169666341726,46.50791521056092,51.40449639921277,50.31160727518062,55.01347073185323,56.682086118533164,57.374671487440644,58.638671480877456,62.021833795242145,60.08179647738146,62.10545902192406,59.302822530581615,61.76434701599978,60.249997928111604,57.13809930616905,57.948137848717636,56.15994470867011,55.56381607071292,54.73219346145156,51.93746059831292,52.25633083770543,48.192689935201145,45.61448023749158,42.627948973146104,39.933215249603464,37.671259380564024,40.57867096783605,39.099504100687106,38.429448673759396,44.03067258947621,44.79368438986057,48.86574845290606,48.96629256729366,54.695240205724204,51.16210667654158,53.69986198914031,54.700144748340406,50.94935845264243,48.692946597788996,45.28751960182916,46.23446538722436,41.97583696064846,44.602047582791066,42.90462522266119,45.12440545955795,46.77820259697319,49.116377276463645,50.77335858768105,47.0540352182923,44.92138767677202,42.23237777209725,43.211919372670444,41.883906671054476,39.91435183653827,44.51128220486141,42.46990607562857,46.7425085868606,49.211355512699804,52.80998160993131,54.40885453539955,57.7565308240438,59.64131492443991,58.41544599185505,56.6674414787971,52.64440037453383,52.584200258667444,50.889449071116424,49.49410927378591,51.098924543805026,52.965436353084755,56.706039070022044,54.03084487218063,52.34436796941798,54.578970648866964,51.121897274203945,49.05720160797351,46.39425440476212,45.96600224388758,41.558395948824725,41.725083152102286,37.3211132562875,39.271452016788274,33.78796503313753,35.05009556547545,39.272546077873976,40.31835850451611,43.260583108496,44.97497468790958,47.79650608325142,50.8003212992276,52.033465418864836,53.18398990522,56.66498997612316,59.60371131485759,58.752794232657635,61.12520394974967,63.764618930037884,61.402332873936665,57.789635199631874,57.36922024856726,54.87069103324405,57.02676856269272,56.31404956363519,55.39008575271561,54.48264995883833,51.42921064500737,55.96266672642296,57.845737334631046,59.029997354976224,60.03075200418676,55.83050470511673,61.376901375636315,64.54169245283069,62.42978397768793,65.3513976774347,64.79701401103631,68.46998064673588,69.54114568536286,69.12146890555339,68.14196734171271,67.19466734617365,65.95509183350208,64.00641197510399,63.86293996569304,63.80883936605561,59.290847078996315,59.06787037768755,55.995788849811646,53.12624570426013,54.22047223045458,50.794889825087594,48.67074742577697,50.253012926363574,50.06580197807639,45.51920453810017,45.74095255047128,47.49656258106819,45.32968564467157,41.28487692986067,42.73049545264543,42.83503049428484,38.64402188714902,38.21097629434049,41.11516559785488,43.71077123496019,45.24444937915692,50.24395551398633,49.928831907799065,50.62588589021432,55.47954700821288,57.38441247079965,60.31198575726943,59.9464881575526,60.15122390678431,62.34913955320072,60.36374633024996,65.30831970498984,64.74085972083209,59.77779925582536,62.50297766573639,66.82896363309638,63.5921616980227,61.852481464789506,65.6355216554564,66.65707825961036,62.64579300199235,62.41629330952992,57.88832745516833,58.6115555447453,60.35811860496565,57.36785686193576,57.71480129399603,57.4844208070165,55.02961069705842,53.808225525843575,52.84422532629356,51.002301951641904,48.28507581978115,48.02730900765089,46.361215530997185,43.27630381525894,42.95351259266892,45.97209657975618,43.239299557257674,39.24460242682078,42.90532447187465,45.77712517015317,47.65085680739497,50.857246901435516,51.65227513780922,55.847456989783765,53.76848813106586,50.57850065574179,55.16065803011391,56.66872414418518,53.92784390716906,54.857594183042764,60.2097106836003,58.905527937813964,55.38241219691252,58.88735893888062,62.73170103382351,60.598818903193035,57.764784509805615,53.42496609924963,57.23351895302992,53.34011937214031,51.725896124072676,47.59454691638519,46.91382483626518,42.39061228101409,43.93940634084658,46.859495593066256,50.57296939548458,51.38097361825652,51.40871530573664,48.042551980937006,50.53351724771035,46.80262949539554,43.41550577104824,44.53355609886876,44.20165029117684,41.93890879908727,40.55757574025538,39.6195867511044,37.47199491414305,36.17429138787993,34.960732193275106,34.730417379403015,32.1057923262683,30.472014336986298,30.476493383696152,30.42298278337513],[35.03735289584008,37.25471535819705,40.705792079078826,39.274048322315736,43.494029485042354,37.47699284090746,38.45392497096076,37.86022429827175,34.40408418914092,36.781480656150904,35.07159122861165,35.15829427982401,39.97238158290219,37.780712010907266,38.69732533474493,41.509982749871234,43.919687313088524,46.439854225791265,49.861863261658044,52.90248418746769,55.69076855953076,60.02130327853816,60.912897644788664,61.58070819121118,59.698888460472354,55.2843053105509,54.227369268143526,50.25936823387691,48.478133093828674,46.565689150216805,44.51126833842513,44.87879395436792,44.60983882031187,48.40478376796419,49.60369917582975,50.2365568101097,50.529479804476885,53.964162679786014,55.81032318544724,61.8750598172456,60.258562642258255,58.80653601669824,62.674047113528104,64.4826960219941,67.6956007769488,69.26723115135731,72.68248465263969,69.26047560815638,67.09509402792523,72.66308964206159,73.28450685533606,72.99833679271788,71.89515511054316,67.46817498545066,69.28491189785031,70.75275237469657,66.6314201943326,64.785951760902,68.94195255620699,69.59781928436733,65.66202666651542,63.593826041856445,59.982886717558685,61.914042970117926,62.19158147200299,58.45409043540154,54.76169722500046,50.802963662492544,48.33806486651559,44.070119095814555,44.103169136869454,43.69381270997464,44.60466181314148,49.4933437851174,48.49635183366321,52.85419397050792,54.93562804406636,55.44834581453557,57.04664542410891,60.64065976820939,58.977507330072996,61.33357335830308,58.75535653616413,61.474252857302744,60.03728096643788,56.665523030815876,57.11874499857349,55.19776537539624,54.30724577283887,53.1013714563328,50.18799355204701,50.075895370245426,46.127202950476864,43.71919029742502,41.09964563018605,38.10495234644448,36.263846248862,39.34730418844811,38.2953642911075,37.87408388559156,43.38595627238592,44.76893455839587,48.61796629066268,49.30359138725794,55.18713073712874,51.99967460664545,54.823915039564746,56.048180350260026,52.525434369979614,49.98353901232443,46.69167779318178,47.21281448376909,42.847240783978634,45.317391585168735,43.13420472529196,45.42340950758999,46.664338269226164,49.10259510496313,50.17724845910717,46.37625205235811,44.428377868728006,41.98222162436543,43.42851906228114,42.37359455962746,40.70802800584255,45.54123444587643,43.913708309620176,48.038996709487826,50.661473422208935,53.987933849715134,55.995608011650454,59.3056257108264,60.9979803075053,59.493530720214956,57.844849963589816,53.72801306365367,54.112353500224074,52.04757151601462,50.4631548597879,51.73391474913118,53.43954752101905,56.864014361136924,53.969243404813035,52.49091511607513,54.503222144120315,50.979726784860986,49.16647743740727,46.50099855457198,46.35126262827429,42.02160123045341,42.466411996513344,37.87132048668747,39.818745672912804,34.34028837289724,35.02061868035252,39.255372105860985,40.26578724530694,43.55720929619951,44.91631777466737,48.26970210330941,51.29433193301464,52.0438287852917,53.522759773296166,56.781592177748934,60.07135333486884,59.45078270459303,62.039800191667695,64.79358661561963,62.70290772476584,58.960804424864584,58.521086580173325,55.75805083473164,57.668804086999586,56.77883932201461,55.58820486846246,54.61497169178068,51.247183473093195,55.72952542657439,57.739681680900084,59.14299564197816,60.35636020920928,56.463758349444625,62.13366858879542,65.33740511890254,63.14502185202799,65.68155800469488,64.83009000014265,68.4868797782833,69.85564278526172,69.60298184543954,68.85372613426425,68.01511879961518,67.05573168294168,65.26650318073307,65.29551202298578,65.51490392197799,61.09315214189263,61.00244505712948,58.185990075809165,55.13577452751217,56.564598799273064,52.99358862143968,50.80577371328351,52.78839656053829,52.71217114240025,48.06141574366891,48.46385706950052,50.45835095838617,48.24409861249098,44.218189969767494,45.92468452667341,46.18705867210135,41.848957922778354,41.53651081562218,44.74189487136455,47.20277653554599,48.92930842105908,53.807897882127136,53.31161834810804,54.13710423232786,58.95294630162593,61.04571295119951,63.79084024183047,63.19171510165707,63.169242380294044,65.17926374016757,62.91302411685478,67.88175415001153,67.58043107469922,62.47307510466307,64.95924253779742,69.45107159146859,66.32701938293845,64.35122031539555,67.97182786609653,69.2831990737846,65.31683412474474,64.64962069487737,60.3102012431772,60.646786376772816,62.506201660652806,59.68563713878072,59.78389579780956,59.65703299863293,56.88788066805309,55.863420457763524,55.21285344941203,53.10193814780172,50.302412400870615,50.46331570876968,48.85642286838981,45.70188070754249,45.62133387683554,48.85827902433577,46.1324967019286,42.21588025974977,46.12521771027419,49.060047561536706,50.90199249524225,53.92553307054102,54.44166789089826,58.7400570362877,56.976564519675804,53.62267601924927,58.03077395993436,59.8192317976059,57.14407845211283,57.77431393255276,63.255087314408286,62.210311774360456,58.51367531176711,61.78456208180683,65.8621976895962,63.90808598568728,60.96046287651043,56.57995431304954,60.572324093557754,56.66298220459235,55.26590320510224,50.9174631748574,50.07529640924784,45.40408338625397,47.00272696193212,49.7735035496211,53.531877846053796,54.091014889194724,54.113678765052356,50.377310449309164,52.63716874744736,48.65547392148155,45.58770862904895,46.4292444926972,46.3098982192374,43.65425671484763,42.43078965314186,41.99489100282474,39.66818475585697,37.91339917741888,37.31997140171061,37.38016264518819,34.514760190095814,32.691193730636485,32.51662999855616,32.25099053840276],[34.740795836972254,36.64917575958218,39.79130715180936,37.919692030407575,41.86228472009359,35.82990264490097,36.39457385283971,35.79709316821225,32.01665533818949,33.98316632870328,32.063938370767325,32.34687556861913,36.9967087849204,34.58271495161645,35.32998793275459,38.25099122020817,40.62466358106741,42.92663653368545,46.207296990073864,49.34089896549991,51.99306929128242,56.36132740132764,57.16031340411603,57.87340525251811,56.11589619114313,51.711667958848174,50.82276066122216,46.939730355782096,45.146926790318524,43.3952286091153,41.03301337396692,41.76087242822041,41.44512628753182,45.06100212718313,46.333000485138385,46.85300296945472,47.41620694109897,50.680868256607354,52.609476237385444,58.714016606362236,57.04594339346031,55.34656516646842,59.19818132117198,61.14240733482757,64.2856925459982,65.96061134850592,69.3402758330703,65.94275134568483,63.93572775198316,69.53833124135126,70.10954391136829,69.91966953152165,68.68750984683625,64.36325261081471,66.11301429195235,67.39386654251872,63.23897685643713,61.4040903490635,65.48474205506315,66.07994468513206,62.04128655009803,59.91813789300425,56.32192231092762,58.09491718449606,58.44103119380321,54.80477603452213,50.962729887845434,47.083596802600844,44.526002246422706,40.289186978492886,40.26185693249381,39.704161198837234,40.67059111816398,45.54773117535492,44.705871737304385,49.03454793454264,51.25092397143333,51.84634967037271,53.54404391533941,57.18197294040569,55.73060231427339,58.170748378126135,55.83055904039198,58.601926430419155,57.06218206499099,53.617007680195385,53.83870062131837,52.03813541938121,50.86209173004438,49.687803415110324,46.61248466876422,46.37602194527042,42.48323763021078,40.2318570868172,37.662969495554506,34.57860988404254,32.80922130112536,36.21953724433362,35.4185370614015,35.46032056469361,40.682885772043434,42.510582390586144,46.03871813228309,47.08804736794966,52.954648969221665,49.947911908248514,53.03979816392572,54.27928932615237,50.8963505154513,48.24997386965947,44.927564622644965,45.038479276288236,40.5631642178985,42.7863999686106,40.26165547039467,42.485588986419195,43.4846680092367,45.889326898230095,46.65611241097904,42.89323772929567,40.98912250131473,38.709254797000426,40.360863899902945,39.534227573272005,38.14557629957086,43.131918961089106,41.961091454949894,45.95661889784472,48.752961081013616,51.95038689981876,54.14707220274444,57.519103487376526,58.96313657920019,57.382745395758754,55.634733301034764,51.42484282571114,52.04775981382896,49.66428591892564,47.88876635770427,48.963776297967144,50.46946469930847,53.70698103893414,50.73774861777403,49.42606982676964,51.375416376870454,47.891114127357945,46.20440111139642,43.66498820899054,43.782005845177046,39.56036114354239,40.3734725683288,35.78303190823215,38.01840417850051,32.77734404752323,32.96048038614262,37.05489102855652,37.785848063927695,41.29564297927098,42.280491474371544,45.9177551556128,48.742848914949384,49.1690922456629,50.684154620539545,53.86261124142756,57.28957897348693,56.70290246311612,59.48784212740948,62.24397626420867,60.36191620535587,56.52095396098614,56.13990184111406,53.21497426121129,55.06376669020001,54.16344090495385,52.894805053393576,52.03338441156693,48.47497722813467,53.05812235525251,54.956425908034454,56.547470271478176,57.711056314809845,54.1129632033043,59.810496510413394,62.97410687861483,60.653109726449095,62.944362360514624,61.873780539324486,65.5293246877651,66.98012294960438,66.79594693332048,66.18557253387402,65.44152519433528,64.68619203350059,63.05181870810311,63.25128588772493,63.693748976428104,59.326352303171,59.44785601758926,56.84441844844953,53.76545063019421,55.54865016819846,51.983729970645776,49.610951080824215,51.84869742375438,52.04132984085933,47.299769776409086,47.61140383170206,49.94683334984276,47.9464844320561,43.734863873160975,45.60839061257921,46.18316851707905,41.763963957532106,41.33631229682702,44.868065338937896,47.08785294823409,49.21626180940766,53.709102209271784,53.146492867447535,54.243278478096364,59.051612078322286,61.403088653983524,63.96617895437394,63.27984961305317,62.98367546182126,64.89481854534779,62.376122205360986,67.31004480024407,67.15139246687741,61.82814818232526,64.14078824533108,68.68886299340221,65.56480082524216,63.377749759206324,66.85599423178236,68.29694450153953,64.33363857424075,63.29494957535414,59.19453618732317,59.35689541051674,61.40506205352433,58.85252617184726,58.896268763198414,59.0572709812519,56.0089881874939,54.93255971870021,54.71044368048343,52.5555378258979,49.494939078857904,49.908787685983825,48.5985500285788,45.41100424943561,45.29764000556074,48.86718013686777,46.327765207229135,42.32591440504577,46.32894910742171,49.44989248975116,51.07972731812696,54.00001493265176,54.196781774127956,58.56746170981127,57.03967917610602,53.36984993297516,57.62603090986131,59.61351767348236,56.92395053116794,57.19016567680621,62.8265342858183,61.94057737704263,57.98666192428965,61.03973241138719,65.33960627115735,63.48489177495038,60.37668125296665,55.92894371770674,60.03897237701913,56.0797207452912,55.002416934795754,50.40831901904685,49.51369709364891,44.72332183534495,46.23016951462089,48.85285470440631,52.611563991741995,52.971612814220734,53.11583274571967,49.07729477840101,51.22250461485244,47.00597823892072,44.32869916855279,45.16020629724728,45.361085676365384,42.48928025005189,41.12955241663251,41.17143067066559,38.937039616985054,36.6251199197624,36.35980751207347,36.906022302313744,34.0502785814266,32.10915594783404,31.88400805241448,31.60955703992273],[35.85489423326314,37.922066746036606,40.9957929808,39.841154859954585,43.526758558648254,37.24412841260474,37.93916228694,36.776000175130676,33.42450913736464,35.820165469703646,33.787224827265675,33.35854771224231,38.49236843617983,36.711545488255446,37.06224071447334,39.70266561782253,42.56587071111646,44.93602222204214,48.67250905980545,51.42296817744431,54.32025223169148,58.53076764758078,59.6417248702472,60.590165530572506,58.58374084741909,54.26720403050207,53.0616553558415,49.12827705827966,46.96163468688046,44.74828533978208,42.40368117702441,42.557557406430405,41.90202110892851,45.68891854989126,47.15817850414837,48.166030733605425,48.38195696068863,52.249424581272706,54.28929180474828,60.16458660994291,58.902293771143604,57.3611769609841,61.03724793631174,62.987068397362485,66.36130005061231,68.12899093295157,71.36399243607639,67.72597887938423,65.77979734266668,71.33515347579723,71.67339932222102,71.19884017147687,70.00964064271183,65.49983240146011,67.06305720386044,68.67356388873394,64.6990493495783,62.56710206878064,66.65272169522125,67.66575375514795,63.75759902615091,61.442607308758724,57.711051085215395,59.895107509317405,60.363772199702524,56.5735204877939,53.16423860651538,49.06668238840237,47.00307638552314,42.600879261073196,42.96743156699291,42.60543818887817,43.03979161041776,47.89284495033953,46.536529411804395,50.55711660520962,52.7179666837215,52.86427253434447,54.58673162339888,58.29833822230687,56.56431479026558,59.15468976815454,56.468437374679304,59.41371272733715,58.304381852178956,54.728090634561894,55.1408476274328,52.834858560615686,52.14355782030352,50.469620888781975,47.77121704652181,47.50662711600722,43.58370310129792,41.062611669474315,38.76864951158473,35.67375831389423,34.21768005775983,36.83426742303112,35.90790916861226,35.147210030322626,40.83330550037883,42.34596298810512,46.293467930340015,47.22705036708457,53.27272098066387,50.37970717779902,53.21592024482359,54.77026743931541,51.483122645279884,48.64740764723049,45.67029891506194,46.138422510836,41.89707695693674,44.55123199080361,42.2774988019965,44.87030836894142,45.88969957760025,48.66987098972932,49.469964254642655,45.39100139237711,43.77573863369396,41.35023886796626,43.24226840284486,42.095032430232486,40.36945340657655,45.18524488386271,43.416378209991926,47.400635782541485,49.919415240329634,52.90015158746703,55.32163938669786,58.38249995468872,60.151057306204194,58.275074303135554,57.04915705843168,53.01864457820369,53.848963091295936,51.78215038428269,50.35413317750456,51.32888908539813,53.3363832549038,56.51057425147439,53.35430732938434,51.81606993595206,53.47698510019319,49.76833640244559,48.1530948142471,45.22009754601481,44.997126956302075,40.69170380924663,40.94025160350892,36.159777471185954,37.66761303967411,32.07908660658618,32.564416436743244,36.87578235694516,38.206133261431425,41.590090270183445,43.001119219352525,46.62234177714607,50.00330673642841,50.57351948473285,52.569565132439365,55.53405139259617,59.13298562554393,58.974823852258766,61.45808244406623,64.4653403391867,62.48714867181239,58.770113258648834,58.09515611712992,55.189880978571054,56.67942412172141,55.48173069971227,54.00463184418697,52.73614661811362,49.2844089264851,53.47365120748952,55.82396737310719,57.20463890626787,58.82934052752027,54.94713244024837,60.70696341026734,64.01955849307348,61.967718335201674,64.29752508098731,63.418765438247625,67.01635077530813,68.74555775705431,68.64567601293976,68.03717623274082,67.19838902428464,66.35176556185016,64.56313549430409,64.57612832996212,64.90809776385177,60.645255319456716,60.4124875066915,57.786969102514185,54.45124693177127,55.952268247176924,52.1462793513032,50.15234557278205,52.512279755747784,52.24807363927485,47.60195089859067,48.55343519854232,50.46920238576925,47.885656325993665,44.250814437517526,46.2644402631206,46.40838862724486,41.95149722455072,42.130262729881615,45.49632282634264,47.957541924570805,49.487117754095834,54.61328558989142,53.72851179744774,54.43971322099249,59.11001206376919,61.293135763529506,63.81239698086944,62.83664600790771,62.6787121470106,64.43192418865,61.97085732262545,66.97800527898194,66.99674690124336,61.94221379694292,64.1762980576871,68.8689520742377,66.01023706734742,63.888845944872536,67.36597443500541,69.07410501701109,65.256457673608,64.28483431431607,59.97785310891857,59.80327001298824,61.56946573314861,58.72717148671458,58.47185118212263,58.20516346003822,55.275176669448825,54.62650732944234,54.01956770015873,51.56576303856133,48.94051416888535,49.500573446716224,47.711453422870434,44.53050114796446,44.88420882681052,48.102074517343716,45.26746748398119,41.62888874589681,45.820409922471164,48.64655197248912,50.60700062326161,53.353610423751505,53.6938726069821,58.04790068043719,56.64163373642629,53.38120123314813,57.574988710616616,59.6576263920772,57.18220508642587,57.681283464344936,63.14157636544737,62.47696373203575,58.84056859248572,61.87395607538447,66.08436632691615,64.45656546289288,61.56167682769086,57.29535865639485,61.561112533422495,57.839240057894514,56.36275849361642,51.97937065261616,50.725133793462085,46.00630232135693,47.99762201045009,50.57370114840185,54.39691888184948,54.65877839985202,54.347584918949345,50.385353639634374,52.27962637905324,48.29799135813881,45.239445482206065,45.522169816215154,45.33494946357605,42.35411538862347,41.6245114966982,41.436275427329946,38.72433144145075,36.96888438656621,37.08141737344295,36.998187868792755,33.77391934482115,31.836627914984145,31.45177718983249,30.937714006438856],[32.117584062334025,34.37095844826315,37.71178671848433,36.77409099323127,40.787453533038544,34.62203968548397,35.74644720617137,34.8495320284977,31.751539145760034,34.53810575791994,32.92167383289729,32.59164364783509,37.66916742157828,35.950511306199544,36.85479404657822,39.44070390506607,42.05063089159188,44.81639232867811,48.59509733168674,51.339701792569365,54.39877320531757,58.59898455294768,59.75498273653742,60.48486330171936,58.321188091239456,53.953100062515624,52.56073319238814,48.50331979730287,46.571233704926435,44.34637557089176,42.67873809998498,42.489269858510745,42.27029507396099,46.31180047517759,47.38457907771318,48.23001375676392,48.13324226621399,51.89685642504799,53.698959148437496,59.62278268076301,58.22053498191101,57.07907473211962,60.88495761607553,62.548009212941494,65.92484446029314,67.44576161548608,70.81423509409055,67.26792356026382,64.99526848467264,70.50500058063076,71.06636434802009,70.59075016617572,69.6266634715586,65.0540180859362,66.89001394868934,68.64396226113723,64.615435519813,62.69917120029066,66.95209431658822,67.7717840644123,64.02647959535152,62.01894245722107,58.38130591690327,60.66029336804734,60.82647202141013,56.892714659858555,53.582213740032536,49.438629908755814,47.30773143424215,42.94237932162163,43.24135405680682,43.20664381985831,43.78433799319005,48.66986001454597,47.24308500507303,51.6467725523256,53.40570292488744,53.76740036519151,55.160577521532595,58.67066168562478,56.68444366850018,58.95405580978071,56.071488748000846,58.77259533347421,57.55733854196637,54.21734427837374,54.956738385425005,52.806206731799136,52.36094181936787,51.08963441147733,48.46824013630053,48.640816115502645,44.5880524776482,41.90527140102935,39.20164537959567,36.39252131338497,34.46989101926939,36.99757804971097,35.648736671224924,34.712606768647866,40.488471388657935,41.44761501761307,45.59540368763104,45.9997756860823,51.92586790942456,48.69948567474154,51.3201595132598,52.665988286312896,49.16072635898108,46.5626073921271,43.4461717986015,44.263856730325045,40.071915419503824,42.864588204836075,40.997183093078746,43.53384272768537,44.93125908035186,47.626233048971734,48.96271539514882,44.94877997861388,43.14122522385803,40.47900220996179,41.95783229761043,40.56592908986233,38.56861924251163,43.22155706863496,41.108957992257146,45.245363218066885,47.66214588027726,50.90258494429707,52.978448377713676,56.10110584773693,58.021663441142685,56.3933330925805,55.04783143609335,51.07098541309318,51.52372036843473,49.746859583168444,48.46509230965164,49.73437660765874,51.88206589804047,55.35073230518179,52.381888209113086,50.65577260763307,52.53705077082633,48.88081762329846,47.023925023098315,44.09328195390954,43.63473769480166,39.23012016743745,39.266788046338405,34.62370587293461,36.2094132561912,30.575904892769717,31.592876531692642,35.9227963381537,37.24839823282757,40.34649029993251,42.06520129748059,45.224608466504336,48.572831722230674,49.57620139846447,51.259953815695624,54.448787723035004,57.7395156377564,57.362783161428176,59.67724418564525,62.589350098855355,60.37771353710154,56.752980013373616,56.09940608903612,53.407263526726695,55.13221078721796,54.10191842850349,52.870632898366814,51.68409903496016,48.49721127709469,52.78593697110511,54.99351856803848,56.19464594805533,57.60090132445514,53.44428783304924,59.11537894407347,62.39751581421817,60.392744770164406,63.0706492727563,62.446041737565295,66.0742115662287,67.5233544631556,67.26981380077203,66.45711930263042,65.52417723047427,64.4391110944875,62.517062822720455,62.392077873187645,62.5023441275127,58.14032425366754,57.81512196284472,54.97364180752905,51.78098472791342,53.03767874411896,49.34370787024572,47.365454666926546,49.41613542139307,49.09135850700259,44.4928485410299,45.28124743523109,47.048203637039514,44.51992564651957,40.814715617029286,42.64772487115344,42.703112020382854,38.32224941201971,38.39452977556299,41.58626792568306,44.14001130420053,45.570815216085585,50.771146873992265,50.018018871257844,50.663573396508255,55.38873548476713,57.458923595915365,60.11832197736019,59.32787983065473,59.32477315449416,61.23949248753128,58.98147370526969,63.98230227711208,63.779985799468776,58.79813705592764,61.233555886176475,65.8018915012569,62.82876826147043,60.87949431617102,64.49792923475415,65.96777040596591,62.09536384904648,61.46071794372076,56.99802882270323,57.15239624842226,58.8533963234177,55.884403713387776,55.85418706927936,55.5428460857346,52.843964772942854,51.990166374407664,51.161706911781614,48.94038089477664,46.32307228447423,46.53769479547298,44.73476918494109,41.58421985911611,41.710343317752375,44.817333105125996,41.98846861421414,38.22925290629716,42.25546119423065,45.081698268365436,47.04403547193393,49.95273426994645,50.490188032657336,54.78822212817429,53.131597463661365,49.94424012498937,54.29204596217929,56.16776517933727,53.62102041342408,54.32873738444101,59.7240152154188,58.8556528746081,55.31740376193603,58.53457842697857,62.58911625919625,60.818784247109946,57.99011616374692,53.73422523899606,57.88161903957226,54.15927302723588,52.53360510591941,48.28256564125221,47.137508149757885,42.50010976792077,44.46391188931771,47.15569333359983,50.96188221176685,51.4061855178879,51.1078761781922,47.4078891444641,49.504050872225925,45.69236424480267,42.37156173236791,42.90874320553226,42.57369927380873,39.90048143935387,38.99070306477201,38.41219106643521,35.84803744664713,34.409338749656584,34.00771774010223,33.73276518296198,30.67854242803409,28.8600731904996,28.62496873664483,28.297270902902273],[29.408683622368322,31.418183707872927,34.64057143987199,33.173971609350204,37.20187730524993,31.120835630799675,32.06490100084258,31.47698611387221,28.071461758719632,30.609787689695604,29.073563717254,29.172339287917968,33.95951504580889,31.905895346022508,33.0972787204219,35.82604641184736,38.13613913711302,40.93342445778595,44.5098094169223,47.42794703463154,50.40582695973684,54.67381668930393,55.700725307019376,56.28774840933096,54.19951804980139,49.78493708524821,48.507229931406954,44.45699759894118,42.74169034745857,40.76812876147825,39.21660148518847,39.295402704035425,39.377326012718115,43.36678721986239,44.225456226153256,44.75083912725885,44.806364458510835,48.20597159686593,49.92015499442341,55.97871823068375,54.341665371393795,53.16547892830121,57.080837486274476,58.70160306645396,61.962816371835146,63.414226085459774,66.86837448964266,63.453687346391256,61.119666888325376,66.65512849654476,67.35666295279879,67.04685549562528,66.07683803471008,61.604544304435656,63.58559350960174,65.16422774396737,61.026576063342475,59.31718345710547,63.59793979336908,64.146935055622,60.36772096064777,58.535965260093725,54.99743239636889,57.09249844669843,57.11195709751971,53.22073623426373,49.73035057928003,45.67889481673998,43.31096010178622,39.03134852281183,39.14974144275536,39.15176914708573,39.97709149923092,44.87372107615076,43.65735174020039,48.33562231705293,49.989486102450776,50.66156997699549,51.94666987471264,55.364254589402556,53.49619550405897,55.62317276688496,52.934470536495645,55.50441053183236,54.0175580800345,50.772657073337804,51.439922405734904,49.61684342309032,48.92914403038844,48.04505431851792,45.228225784485275,45.556519041499094,41.482597091656,38.90709308269717,35.932028975177076,33.216615392336536,30.99143093511727,33.96561832955285,32.62650759029796,32.24105711080894,37.68598487795106,38.84088328113313,42.69189264517881,43.17407275806503,48.981817788774464,45.69869989700643,48.53625748086236,49.69280258830215,46.162830261420076,43.645086967877624,40.307395267896766,40.83011239223089,36.4759609479485,39.011076682744765,36.98908244443401,39.349910739458785,40.75057964951967,43.28218221280551,44.6574357762131,40.78299265261123,38.82615576572681,36.19475720923293,37.557965259818076,36.300413115603604,34.47306873957177,39.24548170221979,37.523513961768685,41.645064535179074,44.25930749067477,47.59557431810426,49.60007715027571,52.914912355358155,54.59650365983387,53.11377156756005,51.457544674809085,47.360487595854764,47.76871504065857,45.76509793507506,44.292256057067554,45.58088666553027,47.50798500778164,51.00224748948529,48.11453756602097,46.48109709983731,48.51064213942638,44.96874440876347,43.06222773086111,40.34344981236765,40.08686210365723,35.72983902903418,36.157051124339894,31.62909475920588,33.766382770129134,28.42786301842408,29.1663509762235,33.32569459577347,34.21426649153273,37.404183484404605,38.83270355147473,42.00951346827765,45.00738698414349,45.92249738955095,47.337499462693444,50.646440757108124,53.85022391896111,53.26677459267435,55.75177718179762,58.55254590926868,56.4231777091745,52.715182428166024,52.2056663406529,49.47070077822884,51.373502616623,50.506351101069775,49.39584552492981,48.468967923416876,45.21777010989377,49.77483150671849,51.678537399758355,53.0128399697181,54.12636824004896,50.159087872641706,55.802799082137334,58.99509051273075,56.81814392309989,59.459132702205096,58.72360464537424,62.3893632912892,63.68227579122968,63.38602401753429,62.58466358455018,61.70936004142242,60.70152596260134,58.88712721389458,58.89942776445163,59.12957791788018,54.724646070283,54.649205337997294,51.89123615534003,48.81737093103714,50.36820509268795,46.80632977977299,44.53768022075184,46.6349606163603,46.67709798141417,41.97509469161453,42.39224890681966,44.54410369535433,42.433186433875214,38.315300530989305,40.17694358326999,40.63004232055943,36.21307890350948,35.91875125867318,39.40173618488951,41.697700898617924,43.66420350217351,48.33467166462157,47.68517316448972,48.68190330921341,53.47396340650854,55.79584121614042,58.362294631242115,57.67480726001934,57.44653153174054,59.40194796752352,56.98925500025216,61.93491535628897,61.698706207098375,56.459681158987586,58.8636978247662,63.38108762930656,60.26376871224127,58.182394206255225,61.74624491491659,63.13558174188191,59.1879875458608,58.36116694351226,54.09262576657383,54.359168568942984,56.292701088879205,53.595128035931694,53.72385629747106,53.79708620544052,50.91334588317756,49.76686646996205,49.35307568960268,47.30431457380375,44.29788013511319,44.528017130346164,43.159593400900555,39.98873124413945,39.80981081581583,43.30283087032354,40.75795001636936,36.72974643752045,40.701009131313725,43.80802237953034,45.455025648471384,48.404681630934334,48.68892421906168,53.036216395829044,51.437350522057805,47.849228152919814,52.15613174239932,54.08718425847148,51.41918527585736,51.815314413404366,57.38716570560591,56.495357252244524,52.659782607835865,55.77827456027061,59.99626850994423,58.17474280230822,55.158230778159016,50.780329151611824,54.94108628519471,51.09304841166437,49.809399399716106,45.31718018560421,44.28442819197862,39.53661363874959,41.26030345643885,43.89560635528802,47.68725953763511,48.06930969092647,48.02634022531238,44.14435938624038,46.32342807100391,42.29728236835454,39.307936433689775,40.14471793091385,40.15980194378731,37.46779006279273,36.12750464793473,35.87322403331332,33.62518597857792,31.624496704319323,31.138443821480106,31.448028620850074,28.61220172860512,26.743956549720664,26.60495569228501,26.469186779542177],[28.501053863045644,30.203020649635274,32.787898880162004,31.76830796088036,34.96492323927119,28.548046779665484,29.136593375741295,27.752284817643563,24.594640413299395,27.318357011487862,25.476867136148165,24.809649445498543,30.065713581916462,28.705832423172733,29.31758916135297,31.742155200970483,34.59939486338188,37.39243174107903,41.46826783946579,43.92948741925751,47.16261444131958,51.23517561797906,52.615137563724275,53.49212395932895,51.12989372663548,46.84770843535482,45.24195145517681,41.18631450255208,39.0175563818128,36.58951555427989,35.01567633550803,34.5756939862489,34.38411132870035,38.52954525804409,39.51241460070958,40.47039837139229,40.24098073354179,44.20406071630755,46.0772837224993,51.888620119017745,50.6899554668151,49.59387526120673,53.29961235598028,54.97023705890555,58.463248347852826,60.07363352836159,63.33020647360906,59.65475053239912,57.47593832160522,62.969464969016855,63.37867997078956,62.81301102870307,61.830456042445064,57.21008829502022,58.981542924704364,60.82630417795356,56.86147626314099,54.87218966529903,59.152887355862084,60.08540907631543,56.440078189887835,54.44809018972404,50.80207650084387,53.31666969657269,53.416105192392024,49.36452803649956,46.362781144991516,42.08450199281164,40.296727729312536,35.85608640382204,36.45792607012273,36.77132727435362,36.935915210607625,41.77126374153246,39.96244685041871,44.40433828711262,45.88830949795053,46.188795106484996,47.42929216380595,50.886591275510824,48.777884706709955,51.0564146677857,48.12458905787046,50.89043392438025,49.7998027266269,46.37702283284153,47.15382110913875,44.88012583356456,44.607013216105,43.32208375158854,40.8554709609303,41.27607012915834,37.15295958499837,34.3029082203765,31.51073571277335,28.858634063249454,26.882358791461357,29.10210529705665,27.686775968430975,26.76806701858605,32.50473692801359,33.61778146037219,37.67804579275525,38.30383343310424,44.30156378371722,41.30787111990179,44.13265279247511,45.675154462635774,42.42398021841245,39.550069433034565,36.60949649293956,37.12662467882883,32.97108958325967,35.82512183459662,33.83823759252197,36.64208352222807,37.87105910176013,40.885609704400025,42.1113690077894,37.85564782521483,36.33033122607313,33.61771664577216,35.47865635481669,33.964386184991774,31.938997571074868,36.59367357197515,34.568314096205626,38.500103225198195,40.93712526608258,43.8437665016649,46.34902504412825,49.33411702331377,51.14241310476006,49.212448425997444,48.10678915031534,44.1534978418149,45.11335434002347,43.19614795730391,42.02247781225402,42.96126438159811,45.4092851612283,48.633582305341136,45.44520635965525,43.63391386360324,45.22835974148775,41.439621189611586,39.721614407793666,36.60363601656787,36.143546804616236,31.783675785632298,31.87011135943555,27.106533487875044,28.71414519005618,23.212820765580535,23.81232911875969,28.103207144905472,29.41184817920003,32.64536829006653,34.25616424105871,37.645575891446185,41.13191910253587,41.96130967806974,44.00018297448843,46.96872239706198,50.49138229795595,50.50493887559881,52.76709120446633,55.901408770747224,53.86776851312064,50.237754145788294,49.387951410269025,46.520348311592215,47.88675764149215,46.64134775873588,45.220836937610876,43.92261998293176,40.65421059455276,44.87568755784437,47.17291331190618,48.411852248719825,49.99919443125892,45.95335402738203,51.69653753100345,55.027358309875765,53.05420758814024,55.530116097851845,54.85773887939457,58.45522756003842,60.13127131213403,59.997678390682466,59.32062828149423,58.41015469042695,57.491324078814024,55.64516965483159,55.603265595896644,55.94659899885277,51.75040304649847,51.47193973249419,48.962569437939116,45.523677906423416,47.175793556816735,43.32395343151829,41.29551728282444,43.89789078339122,43.72171088485963,39.030825545804255,40.18430254152711,42.250938609502754,39.698905059439305,36.10031471914922,38.40160653006521,38.74960177589982,34.193505588784454,34.57580983047215,38.31064594295802,40.53300159134966,42.28741875825338,47.17747457406902,45.98099187822192,46.8737541949653,51.44661182307722,53.95037896233767,56.16354282543427,54.983291187828435,54.52019247635876,56.13952146616482,53.44726089486183,58.42830190855608,58.60022849804746,53.39866071466395,55.46776277706263,60.232394055215806,57.45130140887355,55.17004430458203,58.53934958496819,60.4371538290914,56.69262467734841,55.463359156332935,51.24869832778606,50.859437039711395,52.68567395778764,49.98931344266799,49.696567582267996,49.663281119942354,46.54799061984888,45.8186810888317,45.53031456958875,43.084999673113565,40.22162787250298,40.97227101268429,39.46087458598991,36.25550510762045,36.59657972872246,40.1451772671951,37.54349665002208,33.85053613815123,38.181449362467944,41.19598659137053,42.91035504319525,45.472826086202424,45.45518485623461,49.87830784098562,48.78274692957686,45.250456430861774,49.239747705864154,51.57728721539866,49.17573342518878,49.33805790541211,54.887425746120144,54.521936607229044,50.748637329840115,53.51032296935524,57.912003843392576,56.551748965780824,53.60685365484922,49.41072651942259,53.94310997187958,50.394468016262074,49.03392574149667,44.51254954149135,42.88138477935905,38.103359686540244,40.38985607781328,42.69934849824463,46.55204580489115,46.4945211075479,45.975773070705046,41.80014903083662,43.468322423693984,39.471380878259005,36.49182178876352,36.578144590074274,36.530790100893476,33.41394439259263,32.700903974537454,32.81486556998068,30.08107142275837,28.02733701590948,28.55207005825899,28.722446986189755,25.422231447613722,23.408910114339267,22.982467509659187,22.556294194272837],[27.766598845446023,29.071019019827396,31.319040435274538,29.656443357164452,32.61290158446208,26.268312934050556,26.386265176334817,25.18069818610029,21.529861114337255,23.7597758389853,21.75944575077816,21.520462025335394,26.51186630814801,24.764488741588664,25.42130071027633,28.043316976084903,30.71772164691465,33.39727644293987,37.290636444844004,39.92793232229984,43.041020359909815,47.19741599296039,48.44639969254405,49.274044419978566,47.02687748138029,42.705969533219175,41.27275646441858,37.257913636141275,35.194149475500915,33.021932148502,31.29066374080008,31.282617674547136,31.25919470333217,35.26637230770305,36.16244187875087,36.83873374419321,36.89921723974298,40.53226420127751,42.41962750134962,48.36616422284438,46.98371678451216,45.68986780459042,49.46614304619111,51.208545065482774,54.59683413103592,56.24128765153453,59.53368456336044,55.94290588466024,53.829842969894216,59.37807994282591,59.839908791350865,59.43806459024498,58.36326448748354,53.861250175619126,55.68337927383905,57.29533351913129,53.22699190034586,51.36611419441757,55.62665696002653,56.354800111230944,52.60844004391354,50.68198393281458,47.095801287259576,49.40290665330531,49.455404470253626,45.47896782396636,42.257769612247394,38.06222773387335,36.065573343649255,31.662601788025654,32.13374264262984,32.40356531994339,32.73242334642296,37.59483369326422,35.993700152601825,40.61824043087113,42.12471075808767,42.68025701982649,43.92169872848577,47.36274481393126,45.46689764951409,47.72323349602042,45.0723083716483,47.80294268040769,46.46568533407854,43.036027211944,43.60603672963562,41.61437417110921,40.98604437299211,39.96647735059554,37.25198855744555,37.700342807999824,33.57694668933065,30.88352761509796,27.914494389691864,25.246619679110474,23.078936468909923,25.87010035539989,24.644039643574757,24.493367041851386,29.781684863776327,31.382143949734445,35.00088735534965,35.95855510305413,41.8706426037967,38.97619723401596,42.133109924450935,43.56424865469157,40.40536636348858,37.512964741893974,34.41649778996632,34.427912878326175,30.07991192782605,32.587042944711285,30.225378544469,32.899504980558234,33.95007444500349,36.872377103946654,37.90715776655115,33.72368401178069,32.14226597158606,29.545249586387907,31.523852042046318,30.24697229682114,28.53040037744331,33.388066037445626,31.956796599187896,35.77320568470528,38.4624664520261,41.32957841798579,43.92612919844016,47.070856846401256,48.55462647749953,46.66137236047555,45.29200822371432,41.194856049345425,42.30628890269523,40.01639525119762,38.588779756869314,39.39016121456753,41.57832112176528,44.69004627523495,41.47960436277256,39.832653981104606,41.47197980214236,37.76030560599208,36.09916001328411,33.18645360572616,33.058496370661075,28.798224369309388,29.43796643697444,24.752599500412956,26.971148269206324,21.920472182773914,21.875854132405575,25.920752055137005,26.700213526706275,30.184045375330207,31.308626442108235,34.94441574335954,38.06655510036835,38.59991533752561,40.51290816538508,43.504582474916134,47.08593899213695,47.00297539943653,49.51037413527148,52.584495866831574,50.74384942437352,46.991875858292914,46.26785281158145,43.25173031302436,44.68143041010584,43.52486141030744,42.117306101971806,41.06072078782437,37.59821438113066,42.07843372441117,44.10880426378555,45.570865462187996,46.94286365453855,43.22183355318664,48.973867327629584,52.22382992362701,50.051922238364114,52.33477031193601,51.44023457998895,55.06699356989978,56.710034954792256,56.60241735686883,56.023760799845206,55.2193677862045,54.48274065854672,52.806007352615744,52.96674020158616,53.53570373590775,49.35279773280041,49.37556805005264,47.07018396462237,43.699051440778824,45.77019190729052,42.029092466238914,39.70064988791256,42.490742700506544,42.72706391149544,37.95066232958097,38.794809218446545,41.31133543293163,39.191077053750824,35.25058557662889,37.64632116091142,38.43648683181147,33.87840378790215,33.941452232555285,38.000627366986365,39.888792151957404,42.197419275183144,46.47637768110739,45.32450913884032,46.59036783495898,51.16333918240695,53.949454275875624,55.99198524731325,54.84237715592563,54.08599524543845,55.665573225818754,52.74116951487173,57.63959321464392,57.87354015243158,52.40640334682124,54.33953271438417,59.0856563378358,56.223728267726344,53.73811070859876,56.97181064534552,58.89144222247744,55.11357628492316,53.53143848429874,49.60835250545975,49.176061174235144,51.26852963683027,48.93007111820076,48.704685205259864,49.0986486022482,45.707221697791304,44.76233559438193,45.017167373735454,42.67530356564872,39.415997072983444,40.33773649744559,39.31155406823991,36.11473266253015,36.23267359468617,40.18854462203003,37.915719897413844,34.059471768889004,38.3371043875632,41.59508578154153,42.96698918532664,45.47146267681615,45.10545585361216,49.56522763809982,48.64851885131167,44.70695541425883,48.54799459117112,51.01958004688227,48.54809398925393,48.292937062176925,54.01507775230094,53.72478302205629,49.634547551626945,52.18685049476701,56.80172531050871,55.47027204542929,52.32755393209765,48.037598430526266,52.615937810082215,48.97793897128355,48.0341022199105,43.252574899300505,41.67897861634232,36.80245974125126,38.852256112564355,41.00917753943258,44.82471459428199,44.600138111374214,44.32559962557531,39.85527476926358,41.485099800322786,37.200744253451234,34.73401470498564,34.999328673091775,35.41117476548379,32.15208232690799,31.06318938556068,31.747235635859703,29.324143439658386,26.49779525662961,27.229777345443214,28.138853528890806,25.052055815038397,22.96555148822714,22.566798134753103,22.25433214077663],[26.724229042053448,27.79008207700627,29.485439325303513,28.44253700988483,30.650750136658033,24.128673662226284,24.078632112571313,22.102334092286338,18.974082089973713,21.603355460035118,19.524448689792845,18.358680233052315,23.829723236276205,22.992192130547025,23.243053639079303,25.418023036326314,28.561496174746267,31.398878585115263,35.80482011248635,37.912336091332534,41.341865211013264,45.24879302034012,46.874951569890854,47.89397673160887,45.31362918768666,41.14862055129888,39.29240222419547,35.25315146114215,32.82816998448131,30.150803995070618,28.762013422927502,27.958256250383787,27.829616261183446,32.118546508646666,32.961758107139715,34.05316340833667,33.62915571056463,37.826772792750916,39.758479667993015,45.42716884639886,44.456367245698004,43.44950615394294,47.038176603674344,48.688107430432154,52.30421356063627,53.98881946284804,57.124832497751804,53.32073655189825,51.22440549308834,56.68583375193588,56.94559384143893,56.27417109090389,55.29508071571647,50.61821712400212,52.33786383388056,54.29620290291545,50.402716059473825,48.34701897560588,52.665078601514544,53.71334684308609,50.197678996013586,48.24710000648247,44.60859348235008,47.38764499395752,47.39446616302999,43.21361293453587,40.589695462746334,36.17817622229603,34.8078330835017,30.330710570349982,31.285127476424133,32.02602221606384,31.70992736380067,36.427823935259546,34.17913000682929,38.65317391338828,39.78470290864645,40.019961864504346,41.05817674933628,44.433490341432076,42.16274786775463,44.42680075447275,41.41741479907699,44.24104208099117,43.29363846706794,39.79719364244128,40.64728897062923,38.233189814793434,38.19525275160626,36.915542255641924,34.657931065988784,35.40046979461158,31.21564322515289,28.161609470288976,25.251358818581437,22.860552447510546,20.80744893228959,22.53963550421092,20.98822178487257,20.05287720301564,25.75298936832873,27.004767576907344,30.975768645307568,31.823815119815748,37.88343186803856,35.149393197926194,38.16914086025902,39.914457041531065,36.959646682092966,33.81259659622865,31.1070051061842,31.3016440585548,27.251296017808663,30.16818913929608,28.103319038118414,31.198639645429893,32.245337407320164,35.59809110704702,36.73047436906413,32.23876031001102,31.056270472383382,28.30406447057835,30.55490822584211,28.89718247415876,26.846316836575344,31.396610974418508,29.459153223865968,33.10713233581575,35.52378282115048,38.04089450853989,40.98169697595133,43.789903633551965,45.48536474668012,43.248912259506525,42.4175198382654,38.52975816014229,40.01591833450769,37.9964768604956,36.977823653410915,37.558681483869876,40.33801029044646,43.288704066129576,39.894618942213036,37.982130472133086,39.251775312323346,35.33031348348006,33.767737874820774,30.43632119795473,29.946743726603437,25.666033451378336,25.776536838717238,20.91030336062304,22.51403454819444,17.266302950521577,17.292169779475092,21.514526117156308,22.81360877620652,26.18474013879662,27.69153036024004,31.313541215260738,34.96154832405926,35.623112146444434,38.049585761955406,40.766306900776456,44.512500141911175,44.945604199478204,47.117505501572175,50.469103885790645,48.61521544311898,45.01727751749987,43.955437700499495,40.9341961017439,41.90415845720756,40.42879283782686,38.81185910795311,37.382233933353774,34.04869123073569,38.18185710009246,40.58184758243114,41.84174708024168,43.62352890874718,39.6849481611222,45.48457272998762,48.85988548059793,46.93897797483402,49.2149848792833,48.51857695027361,52.07425388869046,53.97786860676473,53.96450445231594,53.41463921151999,52.52827766814027,51.76262592586762,49.98835630523565,50.01880914906029,50.584882518487994,46.58403129392913,46.34197112242435,44.19026390165371,40.52898231772111,42.559894455210994,38.59097825999054,36.54907263211197,39.684350678058514,39.651825446289344,34.95745664638585,36.47905654697658,38.79284204659748,36.263967222376586,32.88155682852402,35.59235806369632,36.20971283063511,31.626309328152512,32.316938144866334,36.44954938871249,38.29575983981642,40.29825820927008,44.798895188982016,43.19563747034015,44.29940107182265,48.642270614119106,51.51877766369498,53.27986649818227,51.74381416632718,50.847434827161145,52.16234781404308,49.075751812831285,53.98993205760923,54.52416719066474,49.16763236367117,50.855069471121176,55.77296254677181,53.20729909503327,50.625532631299684,53.72411190947416,56.02794662905504,52.444784575952454,50.64637938215808,46.709045710420625,45.76786414584203,47.69973273220623,45.29838859627326,44.741426666695126,44.98487219987562,41.48484583219981,40.892694146290566,41.15753525169806,38.52010224903017,35.44262599632098,36.74263462390217,35.56172010758645,32.37549570775213,32.93530341738602,36.84317883706199,34.53852853026306,31.032200386355207,35.52901002234369,38.64382692875047,40.07811067221018,42.24808395760198,41.683962519051505,46.16167818241443,45.62892926652771,41.827542547764395,45.39795929861543,48.15321932925064,45.93172422573636,45.565255825420174,51.188708247900934,51.3129873106762,47.376196650293856,49.659361440828455,54.34035262567243,53.39160586020334,50.38167973032443,46.311048455804666,51.143313318631584,47.82222086860464,46.720696332626915,42.043546468252856,39.96646536870561,35.17359933096559,37.73568550761105,39.61095183069896,43.43319405144779,42.88213568171559,42.13592778342691,37.55324541506868,38.74190281319448,34.621254054910565,32.04985011217886,31.62486389938069,31.885840089138746,28.337974791092712,27.874885808831888,28.75637097073461,25.909124594185368,23.218004991860898,24.80820170568659,25.45220140518425,22.028699388894246,19.889925688410276,19.265625096281642,18.71217038046468],[27.68837789355353,28.261277673981585,29.41656435532387,27.759314285759118,29.41528412726761,23.06800838612615,22.261682311899225,20.26396176190973,16.59970864960462,18.434995640190774,15.906364532043193,14.994741017565827,20.27329813640408,19.16549851799445,19.077897770417078,21.428017857295803,24.5993522581527,27.18573429996344,31.511887163247774,33.706133593016304,37.02644527427978,40.98961706356633,42.54216544703575,43.626929140277134,41.15006157654866,36.98579968368276,35.29446044848577,31.336827262538307,28.847537898517594,26.35316491991058,24.562403756530742,24.243209859412527,24.124713671425514,28.23866973167627,29.116730946642665,30.029017665527576,29.967025515139724,33.949852489735385,36.0039048972631,41.76039780734143,40.714535622097785,39.39782667823407,42.98931541472376,44.80365631809932,48.35349455887619,50.16928491685181,53.27126493485048,49.48471512447495,47.57486930844536,53.09722168809623,53.30295298046551,52.7586545150145,51.62080094396595,47.05744802413766,48.72360875199049,50.443823129300974,46.48047669573111,44.452067873866845,48.71302894988266,49.66135509461746,46.017034317707214,44.02774269661986,40.40001374181884,43.02575024544723,43.07021031675738,38.961878007524454,36.17652963428656,31.80121959106943,30.362402781403745,25.867683077194584,26.83617049137126,27.544133550787965,27.181780059528602,31.910363019102324,29.749907158682372,34.300841394632,35.51307051533725,35.90344856865831,37.01578508374666,40.44223345806262,38.420928177632526,40.78215440953364,38.091702301299506,40.98352391740108,39.8681745586189,36.25934958339042,36.807337300140965,34.57055015825973,34.14809092058541,32.97573361817363,30.482057147523363,31.183511210409744,26.99580461707062,24.075280780169123,21.07756286564969,18.59361810574665,16.48169046924381,18.757030465243243,17.568414774841255,17.59978872531524,22.722747744238237,24.757266109114457,28.145169090598745,29.5850867860718,35.57584996598103,33.13232201252725,36.556421819301676,38.290169399850605,35.58110531492427,32.32296805030018,29.605319065743778,29.11027768986732,24.927331449239475,27.426738434337235,24.82260787701837,27.873695224492973,28.547016551012668,31.926055930457423,32.652627713696596,28.131044095862272,27.066910267703197,24.51506232924489,27.146923402418157,25.78785425467289,24.16390894112098,28.88834180095953,27.693225897935108,31.063726273228863,33.72119731569776,36.00869010577991,39.20888765532872,42.087833854566085,43.402434659312256,41.07284368985837,40.09435331853024,36.09241681822003,37.94272925367939,35.474378809929725,34.20952988137314,34.47297434933757,37.02256657325075,39.694895727193995,36.17047733468195,34.46018098851587,35.612872366366624,31.7139379261109,30.34085897782602,27.163484930864225,27.097771146028716,23.016657508011757,23.78712623558774,19.019055797754078,21.193440669558573,16.70373633801142,15.605883088711215,19.424243441085547,20.12775023048566,23.892739896975282,24.72477173253011,28.821309619289604,32.13676113537681,32.304315789905836,34.812229558347106,37.406468128479695,41.359334477211036,41.865861257867955,44.29506679485526,47.653091846691716,46.09345126406924,42.37849470116059,41.38903267761385,38.14157683904984,39.00024347460771,37.50583413328186,35.773063223004655,34.52267373545481,30.88769230299752,35.215992579768255,37.42740470323682,38.97084614087425,40.661634144179445,37.165366446970495,42.98959112115893,46.29646852761155,44.19065213132226,46.12350597891654,45.128165183637094,48.69067056002615,50.70154852633234,50.7895725994416,50.422354798837375,49.66685124112054,49.17981159227591,47.62416039000689,47.89642603082361,48.773534899790064,44.87646579150623,44.945945157284115,43.12504454061282,39.48305996746411,42.006044453713315,38.1357264622861,35.84409761298979,39.28181221502336,39.655418705632954,34.948343222871735,36.269747180101,39.01781239615643,36.89551332476646,33.331812667676715,36.16952162082609,37.207674459544144,32.69698361601514,33.16271063608491,37.57036014575402,39.039670094578454,41.52593244527072,45.39210226890902,43.76449174477957,45.212613271769996,49.46572960548369,52.62061130810079,54.13599499359564,52.55022677733984,51.31584027999878,52.500302852696,49.12956425488184,53.92113695157134,54.61681778266107,49.033437855768526,50.47309632487777,55.39389868238385,52.840036745786044,50.006002270649006,52.87814828591999,55.31477447152527,51.76852151169702,49.48496288023334,45.9325376475546,44.775192193432474,46.96542728690315,44.99039518690286,44.392611786667864,45.069503847054776,41.235756912045346,40.54076008863405,41.435091322351454,38.832308641032675,35.41638593697674,37.032690167400176,36.34949861981133,33.23121229948654,33.67649761000696,37.93411249814829,35.98582746504165,32.47298736183242,36.88752801940195,40.16151754281313,41.25421453822952,43.254815252137774,42.27715385468924,46.751794331429124,46.51637441974972,42.35951344651929,45.65871614286623,48.611052551807205,46.3959811345402,45.54573044699318,51.289732338575014,51.59704729615952,47.37728310842287,49.33875027804977,54.246223221053704,53.422753200671906,50.243117588700954,46.146546380954995,51.041540935927,47.70565617075674,47.04263416759691,42.1477873170384,40.062699533973,35.241257038902276,37.59717326088503,39.218455249232804,42.958374636408024,42.14374604104394,41.58302934699484,36.65800866932133,37.65173018188306,33.24756261861217,31.352244103718476,30.929787850922594,31.70877957804344,27.93938264400903,27.239748587499193,28.875702586938743,26.333127963830226,22.805416580600912,24.885356044573737,26.294307878386817,23.132027751444156,20.982114259088483,20.320001770179797,19.799097203433227],[27.087813391741566,27.631637853429186,28.55675282363937,27.499258332761837,28.790882738996235,22.363299977794057,21.657201510182635,19.118426285426498,16.078507644525516,18.412165197512394,16.028060158276855,14.283753057148141,19.931017962540974,19.631019205999433,19.357151319359318,21.263127329175912,24.732190281532418,27.496330533848635,32.16744052406306,33.945696643468885,37.50236334094936,41.253515776442526,43.07837276180157,44.25766035888121,41.53219428644113,37.49770394372855,35.468816075509224,31.49412478196853,28.793722996598127,25.8885599187844,24.52145837293685,23.43301715340046,23.253360950900504,27.626146488197342,28.429147772390024,29.690297107207417,29.149382732980975,33.588343708241666,35.61920588420203,41.13555179565339,40.397384404621086,39.392277642491166,42.84267023668543,44.52813449179128,48.24174582616407,50.03193305886287,53.03618932844874,49.112480738943816,47.15230024351527,52.58396295389828,52.6763573652265,51.911521437043646,50.89413936721603,46.183708307133365,47.803651397452214,49.83331397761004,46.01554922745161,43.857573214386946,48.17323048770857,49.35977950527142,45.92911175313861,43.95405259170961,40.303917589482,43.29403367671226,43.28349204295836,39.02508984293206,36.723371308853004,32.21952582242192,31.252024541587563,26.77205902943818,28.056674015973243,29.09964694200753,28.32206493945616,32.88893589211812,30.26776701363332,34.66556605333305,35.56462058369936,35.69032816402757,36.61583368499817,39.959921434837575,37.59336091378341,39.914032233019796,36.872756589230555,39.79929140682417,39.007470609535055,35.40049917333798,36.24783269767803,33.66748334307559,33.797426782447076,32.42873062027632,30.35585615399857,31.299331618970314,27.09902583948915,23.890867951671368,20.97651597978966,18.799261978076675,16.816913463719,18.011676238316216,16.43074199126197,15.518594505131837,21.152080490214413,22.68526879727697,26.509133681728223,27.692897641564496,33.80621240799619,31.39567988579646,34.60610184278066,36.55768169781544,33.93039419198739,30.53320723506645,28.112315551793667,27.94361968534326,24.04822321287871,26.944160904770456,24.7506652475975,28.078757031255428,28.866502074380424,32.49788840413733,33.42607824360902,28.753640283818267,27.93866396036492,25.247557589809514,27.896948536767077,26.19662957226684,24.228929486847,28.62335906510009,26.86594198720096,30.169168772222225,32.550322360151974,34.64896023634358,38.000727076235485,40.62008530849253,42.18543769133436,39.65480719945511,39.09194485830755,35.285157258903176,37.273087180422955,35.13845256570851,34.23700389435439,34.449209533314836,37.453186849211235,40.09187047466802,36.51276543622931,34.565227369869895,35.49486284176408,31.466329547643525,30.110421439139078,26.607031328936884,26.145083332009914,22.02018607998737,22.196941230979245,17.287539669030497,18.816247148879405,14.006955736789749,13.194695191281854,17.27408031107604,18.563882490119173,22.12246360658043,23.440409685579695,27.373105729958287,31.15555192503348,31.568612507314782,34.39893797195101,36.829722805179784,40.81368955006755,41.64359455136698,43.75596097946132,47.28432819728632,45.630197464200265,42.06986000234996,40.836315526809884,37.67058614297422,38.24526633145671,36.541992396699335,34.7042280279114,33.13789550889317,29.696889379055154,33.71322259963887,36.23770296766449,37.55002365464339,39.547849251483946,35.77182645944352,41.61045915663446,45.0173768646338,43.1425016354264,45.17472641122271,44.41266416801084,47.91896428543523,50.066654032163804,50.18027069021737,49.77571387063331,48.92503255126767,48.33216968050105,46.648282566152574,46.761078448908435,47.54245027972902,43.74769793597725,43.55030552137334,41.744552714479035,37.91612183006795,40.26820751691634,36.23342280760512,34.21353728494611,37.78490879719071,37.86993073476219,33.24834855726701,35.06451151983397,37.54469954505164,35.06306187024973,31.941658573034957,34.926053758189425,35.735109650132706,31.23184102817978,32.152530421101105,36.49103807776239,38.02297739221576,40.17011738489452,44.32033280931793,42.422821319934144,43.668337400506296,47.77883552303232,50.904660910871826,52.30008451855438,50.488274244111906,49.25705536827035,50.30143945109175,46.90789772227452,51.73180167049801,52.577095049725756,47.14039523614848,48.48271715104955,53.50413382511231,51.14508309879696,48.32546490405035,51.16606335704186,53.8093657530396,50.387837870197906,48.107788129576676,44.448400729533795,43.01695709442236,45.02362475228458,42.896993955143934,42.09003194046645,42.55541032757129,38.73863881475435,38.31024512623185,39.048384584007906,36.24740663846624,33.049160641740784,34.838573222996665,33.933986759336534,30.826309795966864,31.593517002368927,35.7064533421046,33.66698632310171,30.416811979159267,34.95336185710173,38.07327327689392,39.28285185664099,41.09865313881306,40.09904638541087,44.56831592356732,44.50679890718062,40.551333454109425,43.73023789297624,46.80351133148842,44.75666957442379,43.967840442740744,49.59387073386694,50.116341807881724,46.089032252100985,47.958371445559514,52.8295711859951,52.21708697757581,49.181240586372915,45.249929865356606,50.26509972840544,47.14787840554644,46.26377984604799,41.52628898053321,39.13876231866315,34.41586944024574,37.13495435079631,38.637985339714795,42.38136768887944,41.438709986984904,40.52201192357669,35.64803054409688,36.39451071341432,32.207422765471335,30.06864355969945,29.169353435234715,29.707725774135334,25.812513987947227,25.625300172421053,27.19526015455391,24.311688134851774,21.121000140917214,23.660385783229437,24.681953674080493,21.286029313488044,19.153153853255798,18.349395920508723,17.6595424061943],[30.497159693495306,31.032044864229665,31.74441699933841,30.98330080642539,31.85859990517905,25.511264369575272,24.583010335047174,21.56312410207912,18.884811406560114,20.927673442841034,18.21862889001181,15.853277849013638,21.558554613508832,21.745183336338425,20.571887378367116,22.177746019571682,26.15947503656873,28.49781176430338,33.34632438616805,34.79787320014578,38.33253099757966,41.9155867143799,43.90398064406987,45.39998070802004,42.66709737587032,38.81292346657298,36.75890136800961,32.96430266138698,29.84793047936244,26.673743088187084,24.709923882974998,23.474630060638997,22.55502069121023,26.798994833579318,28.110083009946738,29.899159404244447,29.37680974931936,34.2920420804604,36.574799547895566,41.7814688993421,41.46461918937932,40.25460696120778,43.419455795130546,45.319979586084465,49.14262838377195,51.17082301447333,53.93248568054385,49.81700267765611,48.1913147537913,53.558607345713696,53.31680700601055,52.36364581244352,51.20453054502796,46.46464555168225,47.71783625358873,49.84747146728607,46.22863457241101,43.706556935196346,47.86825480065603,49.48550404003331,46.05236051097012,43.72444863975781,39.933225323395426,43.134659626017346,43.436101878725765,39.223323321560684,37.204734606000564,32.65134534529059,32.147209357215694,27.633688852488795,29.247303027216958,30.144781660874973,28.856100507883568,33.27745003774778,30.345165930545853,34.14848560755726,35.28679883858725,34.897398134566565,36.08637638184752,39.61713571358165,37.266469020527346,39.94738855314554,36.85822389630131,40.094003802931034,39.71816054897617,35.86473933018039,36.55177213511987,33.4832419174151,33.77629720457668,31.69116663296347,29.883862604030035,30.463996448513303,26.376950749812305,23.096661214522058,20.872768723104137,18.480183619559305,17.381993204067193,17.792927078532827,16.645735733001626,15.171810321628222,20.966583101920218,22.817660650490605,26.66884271326792,28.289696541190157,34.50868144544358,32.56984113967541,35.72589304264869,38.040720172548355,35.749399825728624,32.104539443884555,30.15135872996666,29.91273205534843,26.330401294775555,29.25945231307748,26.97447423472076,30.45630905667599,30.88499097066342,34.718886613736146,35.18539114605473,30.380296015586527,29.975219456880907,27.513577157861164,30.56479279893196,28.94934549899037,27.104509823873315,31.307987096955895,29.534302188222018,32.54962277691016,34.746259216848046,36.395292323985394,40.116780886006204,42.417514359742974,44.02488447276495,41.13323919694506,41.03798525612119,37.40630296346427,39.796395949121354,37.68390903594721,36.90978494293473,36.803867559055796,39.92598903713054,42.216781681424635,38.44440765605565,36.558029534200294,37.06865064200056,32.944109435009224,31.909793262314796,28.243828536311657,27.773387334605776,23.895570502481522,23.831462208170688,18.936136924448935,19.622886956390776,14.906080509188207,13.672602315643529,17.67151775410197,19.459794760849192,23.059880220255444,24.33805183841841,28.593388409621557,32.69763646530689,32.792939218202186,36.17813434586547,38.1929052331558,42.47839467502361,43.75959838483921,45.77328921152093,49.474317450280424,47.98357040721697,44.501809070919705,43.090583087376075,39.835621612944976,39.94756978368033,37.926711269675174,35.75550064826644,33.84845181459428,30.310843992040503,33.85069373929408,36.79937025337949,38.10386670402193,40.591357992907994,36.947704707197225,42.790075677271496,46.266314851092076,44.56074346738701,46.28217526826824,45.44308804142302,48.83481753198244,51.36976820229924,51.665400879744695,51.43944187198194,50.61603992724628,50.17922519230244,48.541222845772246,48.647046060298415,49.53108466843661,45.959311066974806,45.62359786577649,44.02689849533395,40.00409889008502,42.33643117956619,38.148129753674084,36.41183266625022,40.22240384378595,40.078000425205566,35.59684335758284,37.878534798278906,40.15976647420139,37.34935771920993,34.71062018730818,37.81990852565047,38.42482831815069,33.95726584674842,35.26522661753304,39.51618180722592,41.09471431211371,42.93940400779911,47.316301108479344,45.18401851729515,46.243495236319035,50.17683262857334,53.262591109111725,54.509012138068286,52.40544175353454,51.13247373717884,51.93619186754997,48.44173831931221,53.2492872421527,54.375086451759515,49.105433123529025,50.20765361975208,55.352660605659004,53.27362168828067,50.390104455204664,53.06775046556586,56.02887963250302,52.78696064861577,50.306473152601455,46.718513140386584,44.82397451139056,46.680027534412694,44.52885583305799,43.35406025030604,43.60034865095399,39.70057769677032,39.73507136392809,40.43170187712369,37.290654794334344,34.4239965102162,36.5781117214876,35.42042719497238,32.368929795096044,33.60135686180454,37.497396622730456,35.33021820572959,32.473173834930506,37.137401428967294,40.029861337993474,41.39818200742204,42.95064324616639,41.8809960977186,46.313146492008215,46.53248608709029,42.81704398971531,45.77456014349255,49.02299894713636,47.18540470909189,46.378479028604424,51.8663582292262,52.667640783789714,48.80270962954368,50.4873362865779,55.35813909448516,54.992617890180846,52.06827617103954,48.290641504886636,53.39532061784138,50.44528069189234,49.46354825427703,44.83164138514843,42.22823528994012,37.60370393564044,40.532414001714685,41.905301807599805,45.61699272763459,44.51363603005517,43.34609773189943,38.441549420774706,38.848706005745065,34.799702632913025,32.71049535436263,31.26304354856352,31.656807142684414,27.545448608724882,27.9787980261901,29.658620343673665,26.454329807337245,23.548422076068547,26.624404637703122,27.329164572756966,23.73449279092701,21.65343657135303,20.66507489343581,19.68653029811854],[31.55028053651837,32.244221074413865,33.378126402540104,31.98111038353695,33.43755045419388,27.07152458712031,26.151755139274044,23.750597277429634,20.329476442136237,21.93908598874775,19.05720349695494,17.630821636532293,23.02184995059206,22.223610597348543,21.250332903091525,23.43119338801911,27.089775720946733,29.189487851243868,33.60759560462406,35.60343328599919,38.823300978463585,42.69249541625624,44.324305432495095,45.72448736640263,43.32867024380075,39.30124823344504,37.69030744530867,33.90776717933808,31.031596786643064,28.346361386808297,25.762414127524238,25.52201564283647,24.609408420805963,28.509568019366963,30.0011449911835,31.39345422620292,31.49004311219796,35.879532966818424,38.21320840035456,43.7318069085296,43.03993902042359,41.41051990045371,44.74857701278834,46.84084428529313,50.46456131062755,52.54308653176375,55.42664223457626,51.46967874289346,49.919731639747454,55.41212333701132,55.30014910995865,54.61472385751823,53.29404894759813,48.72564873742824,50.009861824487395,51.75314086881986,47.954580767777934,45.556967235616675,49.63231699741269,50.99043143378955,47.25848737972092,44.85077516052584,41.05591812515881,43.78332081536213,44.21869989673759,40.211001884837806,37.5442128269643,33.148171017662634,32.03782742408931,27.476858402116832,28.690996890300443,29.062574021341142,28.29298033715024,32.949538122873484,30.62410092950312,34.54247988786546,36.19896426934383,36.087795283314136,37.5949662016395,41.27897670680129,39.38330883192533,42.1615954148625,39.498947600257246,42.715569878916206,41.95531638671508,38.07703081175931,38.377542571656384,35.69765203027395,35.28114965055684,33.34976011238899,30.989096119216875,31.13773832120079,27.07328002781381,24.177874211950783,21.932825245317893,19.03288575977915,17.877605988431394,19.670518614846273,19.008664110582515,18.61947152440357,23.915089631439688,26.33174162065833,29.74280280762026,31.630998453099323,37.75681631204388,35.71847945180668,39.10662686952897,41.16475692009051,38.70547433486926,35.22341031644187,32.86898075416441,32.33690451334062,28.3657139588342,30.89649262082721,28.138656475134752,31.30224593956017,31.61278673201993,35.1358499723879,35.333281599024176,30.707347213363217,29.985247827780746,27.696268618813,30.71741913839627,29.502426667467986,28.019925406047495,32.65344007173819,31.444743387040624,34.63012145798643,37.15712707226311,39.100964352184086,42.612546363908685,45.24633290087734,46.606677216170866,43.96617291617118,43.36558164491743,39.4798209018991,41.65309938128991,39.16886618916147,37.957162563281685,37.955069570966,40.52217892866212,42.88243060710016,39.17487489966866,37.57991069607876,38.38102807522891,34.398475321212274,33.32717179769367,30.030640703421337,30.004720635180632,26.09789045871982,26.672957998161436,21.823700530168768,23.281546620038476,18.66070707803574,17.300918981079075,21.164420524563628,22.31973805684601,26.18430284399904,26.962335105747815,31.4116864384601,35.00846426854518,34.84211641915362,37.83827100775787,40.07699267974509,44.32927324651866,45.19707691196738,47.59760937818019,51.091017407766884,49.68008418670898,45.999707623137034,44.88818747125086,41.541773644952734,42.0287315124942,40.26226015421355,38.21901439059263,36.674457087204765,32.89351646195489,36.81841825641487,39.41821975635301,40.996540027306125,43.12902176681928,39.769938774051845,45.62409707076787,48.998287236262705,47.017449735388574,48.64697010831014,47.52807446063737,50.998623198066,53.3714707749913,53.630735786912375,53.43709423840079,52.71912638976988,52.38501489594611,50.875381636527635,51.151957858434805,52.11537387948975,48.37693296623227,48.32623850017901,46.638957600447426,42.82341612560422,45.29303987806276,41.26323369610104,39.21448682909765,42.82303475799414,42.96044678712562,38.33229404892968,40.043967269019085,42.59203693873708,40.12715848902692,36.93641186133072,39.85672754767723,40.661696587081344,36.12586079903693,36.91454475286878,41.222521696612496,42.82322141902992,45.00164799872449,49.18984830802479,47.402074610797015,48.64772969730089,52.806964482449196,55.876127409365765,57.33977629868466,55.53212518601982,54.32973512032937,55.34487104761813,51.92448996363697,56.740455833040556,57.64595635016799,52.21374600751826,53.49686173901493,58.53500570001916,56.196922208861054,53.33318077233937,56.10911174030009,58.79135386584244,55.36681681068931,52.9657043434066,49.42175414411624,47.911388883393975,49.96103271714705,47.90354182882042,46.99435719227037,47.420673299860034,43.54210931914975,43.259068485685496,44.02419265296101,41.10503601538598,38.00774914563041,39.8907592556686,38.891911020764994,35.77887474462912,36.63711439702508,40.67489675463809,38.517829295564496,35.29541436837663,39.86963542854933,42.94332919449769,44.25679087161261,46.098696631570846,45.147209870900205,49.61497723583758,49.54372576564372,45.6295868099668,48.82258032378397,51.889717572373875,49.82399205438718,49.04250345206106,54.68416064599347,55.16870737924084,51.10090935115504,52.98421852698717,57.87395836728476,57.2039957263245,54.118430893347906,50.114544598122706,55.070375591098475,51.825695038284856,51.027020988917954,46.21868800027441,43.99620545337874,39.21740298363767,41.742153242277254,43.33352593487438,47.07859258166283,46.19022743824863,45.43895749324309,40.50509471676256,41.27117969196348,36.96494791756765,35.030509401233736,34.174446654568385,34.77253413954642,30.81657574196251,30.644813354802395,32.27128001696169,29.38440762142511,26.17016486395862,28.616577199598023,29.650520765087375,26.2208479921788,24.069862454319818,23.234291213448294,22.43628066816163],[31.777790216878554,32.94995120997827,34.683268771681725,33.60842324568309,35.72623098488395,29.221281217233795,28.93185992219443,26.742073671214676,23.514305167800302,25.663561306973758,23.109800404690446,21.77973004069379,27.268944182466242,26.37243135030621,25.82974376303672,28.048153073179343,31.5606675307138,33.839649375780475,38.18791481756278,40.292806499666206,43.51120396724,47.42607286904046,49.00417834647547,50.307314428177015,47.93004031137461,43.837656916809685,42.220789036513594,38.35635348929544,35.6240713598021,32.92910973649611,30.559964308357724,30.171260537251257,29.28737872995309,33.24226171430957,34.73388843781383,36.15338228771714,36.10526163361231,40.52014844050079,42.75779071557479,48.30582168730288,47.55803582103905,46.07562185425393,49.472771798449045,51.47907194780122,55.1003272294597,57.077952178705985,60.034649779337485,56.11008252216974,54.41318868824547,59.89808344488216,59.87377303344401,59.15503010315567,57.92242074659351,53.303661432004056,54.644805657184435,56.48504910733063,52.69349389085805,50.30941499848191,54.406189530449495,55.77624719727526,52.06393843924661,49.66581991498875,45.86596509261913,48.57209111786208,49.01767390041687,45.0144789760535,42.281928690843216,37.911913951184545,36.650499265865875,32.10110526034671,33.15041515024976,33.386923623924226,32.867384316000276,37.576800207195866,35.38955637666053,39.27592079368873,41.01153501658886,40.85104089374393,42.38345527464904,46.06237923585124,44.080076373425065,46.7964117060179,43.97168300835202,47.12509382463776,46.39809994058267,42.61054018869949,43.06800363334043,40.35138505124776,40.06846871726671,38.101624249870156,35.795124348075866,35.859325457051156,31.82816094761933,28.947024122546498,26.744226137365374,23.839095706712584,22.62632443665033,24.36369137270417,23.47004621542975,22.53402933981679,28.205355826113692,30.07728175081339,33.887962566605935,35.32652867361879,41.496114490419515,39.17008555172979,42.270906882245,44.27052691048266,41.54623092794511,38.20598218824583,35.744417917165194,35.71856530552516,31.729320651448077,34.4993176922039,32.05024045451285,35.157311285707635,35.77155433036571,39.17266590473718,39.65963924116325,35.11653357635655,34.163108294035126,31.73386309126244,34.403517861196235,33.05564085229994,31.31821157891953,35.960052145840066,34.295837555081846,37.77872096537184,40.20285506374464,42.441188214686626,45.663050149274895,48.336984966007506,49.96222216575279,47.47774375701211,46.85141931245348,42.97931804117059,44.763131026116774,42.54867699925169,41.40486549530126,41.72163510947284,44.309888233289385,46.95275640856922,43.3796727939066,41.6958511496463,42.70647351871011,38.74202181776869,37.47946440985571,34.155953447868015,33.89497483249269,29.789471310159083,29.99716523920724,25.06818269259049,26.258555347186192,21.037015581174572,20.57755835849618,24.757401500713154,26.245576114995803,29.85389358170866,31.079831901794364,35.17618236617879,38.917413205087215,39.11314819782898,41.91260327666087,44.34148724726223,48.40377746104885,49.07061116455894,51.37281711799894,54.7976041254415,53.1472974306945,49.49976116052351,48.421674570061995,45.240121372755695,45.949926678447355,44.278741980236425,42.37596120326302,40.77947611758813,37.18967753910622,41.06171564534287,43.73020600881486,45.13842811088045,47.24950291766572,43.57662284322123,49.42124898672178,52.83020198115392,50.92686250692026,52.83783802028041,51.8981042642785,55.3924412839207,57.61965421461413,57.778388323388796,57.429872492274555,56.63127705031529,56.07660613116874,54.409880098479114,54.524360339071976,55.234030137420945,51.348364373274016,51.108157484652985,49.098006648629074,45.329466123673335,47.398964721607264,43.33174339629483,41.41812281157173,44.69170405170942,44.547706257871226,39.90299063583605,41.61359518455493,43.84664230140266,41.12501665815882,37.952146578873545,40.68255002270485,41.160287688580176,36.57047372935021,37.39351206835306,41.434544262770466,43.380521008488394,45.20419450696475,49.903753267736356,48.25692871154131,49.23471628718929,53.53419857058312,56.316826638421865,58.080931642547164,56.40949783444303,55.54850364388389,56.74173686303908,53.61129702165015,58.536366317743294,59.23109237219305,53.972225509277514,55.53233324214151,60.532483959462006,58.110560686517495,55.48617992986094,58.494399851962406,60.97191208018261,57.459221453125814,55.52398167641255,51.64840676777508,50.44598352532134,52.316508417996765,49.90043310296272,49.09854957575584,49.16908336230304,45.607481869473915,45.341836692238886,45.548086146403584,42.655118331348284,39.822443808850814,41.345841230826224,39.93289302261991,36.75851015128768,37.624306432719685,41.35253288074862,38.871693787616756,35.58947849417279,40.18202210176364,43.132394284376275,44.75039311911652,46.8221991836274,46.293583449091656,50.759428775485446,50.32921184677747,46.70537182146843,50.206696148337436,53.03094316014751,50.89742470521616,50.570734900665556,56.1363683436741,56.354110701585384,52.49191573635721,54.72804219531674,59.40850716128167,58.52646853416631,55.55170466063864,51.50580261095161,56.341709242765134,53.017045116149944,51.88018453312209,47.22790157003959,45.1502220507519,40.36493450788598,42.92498436835302,44.81297788026842,48.634028086010765,48.05758133822993,47.27866642195615,42.64608137142182,43.69706808996433,39.56059177334593,37.0892316550269,36.40870265445298,36.609877167191414,32.90073828315989,32.76576981135078,33.71854737874784,30.672844699198976,28.109311254846453,29.94179565899002,30.403991345318744,26.835276235693,24.695790041766905,23.934284464677503,23.129361892454735],[31.458886773153225,32.50575242246494,34.36274734471603,32.455253965007,34.89546849646635,28.58952608481132,28.10527993880224,26.58557868623943,22.681478623168932,24.239692138211723,21.66873468611125,21.316900546834496,26.26571596006972,24.457504299210942,24.307634936703494,26.994181448770224,29.98702043738925,32.13111527189108,35.97796284498488,38.60200260858766,41.52594371876593,45.68748407526531,46.89688988815779,47.98849214617252,45.914623382900764,41.67211336256236,40.46145897715992,36.625280682507906,34.26825989668226,32.13426704456208,29.529225570776198,30.003016665258905,29.456306645912445,33.14533644219636,34.50230528844555,35.34549310926598,35.81964629265237,39.540218587874485,41.714329735085066,47.58290714325261,46.367045863641806,44.5917620898281,48.20621523039015,50.28366528481832,53.66001018517301,55.593435684206625,58.71577990746272,55.0275485770894,53.31057583089105,58.89459502021846,59.09993024759959,58.706737528437486,57.37578036122337,52.96316753015741,54.476709416057474,55.90403963226126,51.89017100561559,49.7969523225418,53.870889539154945,54.79861097400268,50.8674084631623,48.602501167400426,44.90953237899785,47.1148807329839,47.49674488544093,43.67487054140857,40.3450901381826,36.18912019730935,34.29364617463015,29.83114919703391,30.420800107230495,30.33073981885933,30.43008662027963,35.2766447378715,33.72281109617977,37.95264549936824,39.9016107340793,40.241473001336715,41.85077025648634,45.52035830071554,43.934617227877105,46.55716961055793,44.178617730361104,47.18310788187037,45.952328289231176,42.251970790505936,42.40831903589394,40.26424119132652,39.30892703179391,37.849984188113055,35.01051463104883,34.97761997289742,30.966996291015484,28.457385551369043,25.95609862246822,22.902552270546586,21.331955059786775,24.311312978813266,23.694867314246352,23.929732211659292,28.955887007950665,31.33334294158374,34.586524230958865,36.24578322536149,42.22624520016563,39.78789309658451,43.21103839527919,44.863159453440915,42.02385551719454,38.88302999157807,36.00129440468329,35.51864059437397,31.183701937143997,33.433462121024405,30.553902518980575,33.267523481610084,33.79274213524235,36.81561793169894,37.15345747207547,32.89044070999093,31.59688927273585,29.34054930178492,31.873832561652797,30.938656752185352,29.632133161669845,34.597471600926035,33.67411894180214,37.20276247846955,39.99073950832977,42.48408849438918,45.483713099194254,48.526315218318466,49.779190648805255,47.60493407268928,46.37702708153276,42.256869653186094,43.84669920146317,41.206405103047985,39.614697577248826,40.010252439676776,42.01286567396819,44.71232998718061,41.27701884074818,39.87824368137271,41.212836172897276,37.46264168519207,36.13722813857402,33.2621578121119,33.471154699102094,29.43273421583425,30.395809405869258,25.660659273911175,27.80062107401941,23.03261967541799,22.160304006176926,26.04037222067456,26.727069454144747,30.561556889795224,31.200039390490478,35.41267817002625,38.49847781062265,38.45035198286641,40.740095779005046,43.41831406792042,47.3606651265298,47.55947315335026,50.258364382238945,53.429255819762865,51.903041356991295,48.07225287568917,47.32519316923839,44.06565537387811,45.17918724411962,43.82857443286457,42.12841947192892,41.006079263304166,37.21974114511633,41.58187022276486,43.736561206226014,45.433804598816884,47.03594414439125,43.71707777878663,49.5252092815754,52.7790738609308,50.54915780645875,52.37822253383536,51.16744850267185,54.74363253151137,56.70987807114546,56.794188842025434,56.46885324683535,55.79269852731526,55.36157017210407,53.87197165733015,54.21179401575763,55.06250731597031,51.04442001165989,51.204567967162895,49.209049728435986,45.71285718644796,48.0928472968489,44.281707399771314,41.94048526305989,45.07683956663816,45.419960902642494,40.656668545209826,41.657531795292215,44.34255909891441,42.22954252007448,38.41391872652284,40.98159256089308,41.89116791394268,37.32731968208294,37.49209528020329,41.69590581682996,43.43080782502132,45.85380572127457,49.95497197873862,48.6627177577436,50.021015153577245,54.48655667428287,57.406329509233586,59.25697965750091,57.90903634515191,56.94554670411837,58.32309318358057,55.160117384454054,60.01447986712244,60.50756526895435,54.97138196271854,56.6356784238676,61.48506109174984,58.77110605895203,56.08298715504274,59.10717307456476,61.29495157681753,57.61356579761061,55.60919959501015,51.940483257753314,51.11304279984999,53.29253682707189,51.17160063261754,50.6978821695153,51.201847966517164,47.542455767777604,46.813315787305,47.3941204521064,44.8325126487683,41.55166714876866,42.88122863085629,41.94675048091942,38.76697755470172,39.11567723323742,43.17947268364689,40.97005112880751,37.29136887213923,41.67623641057411,44.91699218806829,46.23262480611142,48.52113984658143,47.89496094533766,52.37509766816149,51.77180224035292,47.74532653999491,51.34848629186017,54.04832754216874,51.67732512622757,51.141083278512596,56.898005094604834,56.857799750281146,52.66551036286413,54.952804139880634,59.72746319308011,58.584132566142614,55.379417921115454,51.120356127577,55.79981118342181,52.20240725101667,51.465756319149165,46.57673648367363,44.88939319055103,39.99705422519034,42.040596377687244,44.006269720755206,47.78386628323604,47.32191848796916,47.04276403832215,42.30367963222048,43.649465878833006,39.209303497484406,37.158892829571954,37.11684009351877,37.74759606501116,34.172205165404336,33.29242750943976,34.48620692559155,31.97499198353903,28.77893965958279,30.140133527256463,31.29499820197208,28.12179760816739,25.9743706899613,25.405613482702066,24.883325308728654],[36.48351044384371,37.81743153300651,40.0276660106832,38.09331130459272,40.85858555385964,34.587835660093035,34.219553314079896,32.7883368998652,28.85107432698036,30.232484199437607,27.555137280504646,27.280526929630987,32.11395350023559,30.094950004571174,29.658653911987354,32.422723680777466,35.447830160291005,37.18860896240955,40.754007314026104,43.532490496375324,46.16277263533275,50.37919040724344,51.39354696508044,52.590717600649675,50.80743908548573,46.59565977426151,45.69943760216509,42.012879500484416,39.61853981961374,37.627920690165844,34.38224816932746,35.28675145197807,34.2895784435281,37.6267090537277,39.426509561679055,40.3730331092245,41.18680329053985,44.87025653973602,47.19431455697911,53.03165051820409,51.836298203138576,49.6939129370418,53.22009776359777,55.542658154074346,58.82828472919051,60.91891513883852,63.97125846159826,60.2934348973291,58.819625498603294,64.42108877426304,64.51234977586441,64.16855978755586,62.652487530290045,58.34715614940546,59.62818190756214,60.87836968019994,56.90545513783472,54.65471408547846,58.53050045524011,59.58147125307074,55.45784853583764,52.89214852705132,49.134994862073434,51.08609966971582,51.812626188638625,48.237229624111514,44.64871345685496,40.66907524603964,38.64131009354128,34.257756343803884,34.698335693298844,34.02528217230972,34.26469030566233,39.05075057050039,37.84047126180504,41.59137207974966,44.117494245639506,44.255768952906365,46.282648015966444,50.15583812327987,48.88401327119323,51.7836587921717,49.60745092060915,52.774573705384,51.593836031313295,47.76325991408761,47.61407755387733,45.393558734539475,44.1398776069534,42.281590834576285,39.31934715314382,38.66495538174526,34.886433603958864,32.679325256316716,30.722983864010487,27.34003833612244,26.34677279600244,29.459508498471596,29.25320780334872,29.459568379831236,34.45853318357203,37.102360669301014,40.28986268529947,42.19487459318339,48.21634936298493,45.905552107646,49.31896022854962,51.034282212287856,48.20103725431502,45.045755958320285,42.190714389706436,41.70357460423641,37.352953599699916,39.49285989612884,36.436454254794974,39.00647405843918,39.33554401998756,42.1935681073042,42.13309567825041,38.021954954536376,36.730724014842394,34.741668299761685,37.324598040837756,36.65917521469171,35.559148304162484,40.59987793604957,39.80597410681828,43.35981061754015,46.17587440494984,48.67107028068309,51.66600236528659,54.720676227814046,55.95453082362147,53.76385259247269,52.51995550643876,48.370228460358796,49.92286011104513,47.18714049932276,45.438603947379505,45.8168849754351,47.51256475346816,50.10680560860219,46.67991645944975,45.500026768624345,46.81498440410512,43.132207583653745,41.93209415066329,39.181059360513615,39.53856118364313,35.56741042293263,36.56198855265474,31.801218332062025,33.73056167129646,28.804512774437946,27.960752233374787,31.880627819810034,32.68470524424563,36.58303678997439,37.11558346463132,41.4946777633013,44.552192271808124,44.28395215053973,46.60878089190488,49.213826875367324,53.244489235438216,53.38801395718203,56.2288268035881,59.33345465641823,57.87994308397239,53.99758858327945,53.348346482660055,50.05183352442162,51.184129956359556,49.82518827671014,48.043134699525815,46.89696097842527,42.98762631583066,47.23412334914603,49.477496115926094,51.270389715703274,52.96717518978866,49.79017247281179,55.603376630868,58.85019140770797,56.59007279410882,58.25775339404566,56.879547702546276,60.426798116833794,62.49181704403645,62.6250287207886,62.388135531687624,61.760396112572295,61.42161554998098,59.988764706034814,60.37268386704436,61.2404678261799,57.20453913576162,57.37435635471834,55.319207400265434,51.84780031552604,54.12519384116237,50.29461012619953,48.0082066233894,51.03076967525038,51.2739223792818,46.51441096954388,47.467850567493045,50.0382480756575,47.818203883264076,44.006478840300076,46.43654195436265,47.183360085229836,42.612737502745695,42.720084801177194,46.734074409830065,48.66063817555423,50.91680688491461,55.2569692571682,54.11464519647484,55.339223190239885,59.88617310166781,62.626080682853825,64.66337132873588,63.383715037096955,62.60001968624394,64.03514854018178,60.98551918054351,65.88255251671173,66.32436237027864,60.874496197336654,62.62111909984523,67.4650135743441,64.73128374346085,62.12271905906645,65.20497146015099,67.32957504938958,63.61020639889628,61.73297057026243,57.99648658203075,57.24422560409783,59.36688203207368,57.129758845007736,56.62423436285355,56.93905568411028,53.37160533691709,52.75956771013907,53.11316967462767,50.47391128447707,47.382516849777915,48.635643620549125,47.45430121587511,44.253303923587715,44.68409681000019,48.54473405647945,46.124037465987605,42.47484567218087,46.86652211661762,49.996963216614944,51.51719027075852,53.91365172650175,53.5078580562974,57.97945826308702,57.211129011963386,53.35991346385651,57.09961039225372,59.68241851773213,57.27561475735909,56.953406897496414,62.673604992288254,62.48343489234332,58.372501675367076,60.82479307498437,65.50603481328722,64.22099789441334,61.04265553695437,56.73025559031901,61.285196956300354,57.573402281655014,56.74275982504878,51.916913527453545,50.42199633383289,45.52952414777337,47.44439084636917,49.58967082735094,53.37491074985246,53.097051450087655,52.91352624950647,48.283782351353985,49.748032497580716,45.31976478827651,43.17320923186562,43.190944312709824,43.68242597965704,40.15057084299132,39.34954645825108,40.30939945802469,37.708953591007095,34.78189547431832,35.907985820921866,36.8031370670924,33.57949713012629,31.42454477618252,30.846618739554202,30.222165672211364],[32.89553353471239,34.46009997074093,37.14684707228433,35.10960132982864,38.559577907630135,32.4248342469789,32.582910490748546,31.759528125320486,27.826740448421788,29.572422310385544,27.438849461587214,27.657930384528118,32.319614203987406,29.972518462314955,30.48680704219792,33.391421490777205,35.8903419744309,38.11698723755074,41.514073101630004,44.54615950726686,47.24864219257416,51.5783070832071,52.468645250715426,53.28540768295365,51.45895919383598,47.0899173082766,46.14815722099187,42.28754148189566,40.35788102355279,38.56091832267726,36.09145986515825,36.85438382859932,36.5130543443329,40.10879395346849,41.38413544060317,41.928194653916904,42.53501056896295,45.85037034972034,47.853407876490074,53.91784284917448,52.341627009867246,50.571877830442844,54.36976281864073,56.371222371742626,59.560593525820224,61.32321786576538,64.63298271060722,61.165713841690106,59.262432094007856,64.87257527752625,65.34402404065601,65.13154380388141,63.84864664499926,59.52486169171911,61.214307206826234,62.48493546728525,58.34980582534721,56.468511368225855,60.540964711154764,61.18806564184439,57.15857871239873,55.00909413678478,51.399383282256785,53.25003227731116,53.59573641468283,49.92292210139239,46.17603468563279,42.2357337670776,39.81277116141412,35.51591619008157,35.626766414795135,35.181983709579576,35.94949235530355,40.833987636464215,39.84247638095836,44.18753014441873,46.334151827917815,46.91672027038834,48.588442409842976,52.22957758824071,50.78988413899165,53.27580928206558,50.99120928516074,53.82058029598706,52.31687598702733,48.79681073992255,48.950487156067794,47.117872023023395,45.92274511766182,44.72983617757199,41.66471106597045,41.489738534242896,37.5662318259575,35.28676880996035,32.701424117321075,29.622334565053826,27.86825484301208,31.298857575910834,30.59521507994972,30.855195034217147,35.917559316997824,38.001243680823414,41.352299449678846,42.647780944842914,48.5280254819798,45.710258405597514,48.97619520168804,50.31758930438709,47.11465425674799,44.31040849134518,41.07899031791412,40.903613780794984,36.419048505338694,38.574895839428535,35.85618016186597,38.19287848248125,39.011921868890504,41.57843905927561,42.17027280420527,38.27476504416732,36.52768094006992,34.280756418918074,36.22103265456305,35.420311627254904,34.125451940394164,39.16870193121772,38.202784878150744,42.04387039254473,44.90001010530968,47.88132380626793,50.346325447232005,53.65764522734098,54.97166120838804,53.21596391805202,51.56559510628689,47.34511929125519,48.298846460565876,45.74646441607338,43.96308221336562,44.80290727540416,46.39915845223462,49.45149161362808,46.33195375374804,45.03280385071981,46.81182093345806,43.266911248361595,41.69854493675231,39.11034027336384,39.33010365846332,35.18131758760177,36.15918499796941,31.539348706205118,33.87941764156616,28.8469050066971,28.619802987613376,32.60520474720635,33.21022947662937,36.86200901903025,37.64220833639692,41.49637598414507,44.315884391857935,44.53533294731924,46.24924769786545,49.28529794584848,52.88186190680856,52.51183229060584,55.33035353636939,58.204519986802495,56.47578654213891,52.603657218711085,52.13775365870762,49.07218609293124,50.714676011383126,49.69929376436974,48.30568772608771,47.42283822544339,43.756913580558106,48.330550054976484,50.24158415810155,51.91365514724169,53.158962236740116,49.71788421108557,55.45173589489656,58.62546294150427,56.286516784359954,58.39301314102119,57.22867585040428,60.866782372812125,62.465016117854724,62.37177130308509,61.872535563277346,61.17165182762983,60.559927631862074,59.00897280835417,59.29828797283084,59.920358055771956,55.65890824865423,55.860115691173995,53.48811545292197,50.28535440327741,52.35269094614221,48.72354687504068,46.28792468690066,48.857238006761214,49.187872260552155,44.399842582051384,44.866020966155496,47.423118474158215,45.46788711269506,41.28514208976348,43.41747698766214,44.20093826534918,39.69907568565747,39.39591584000437,43.25136992501075,45.25273668974387,47.614278267469345,51.868583105989835,51.06861757321187,52.339193990294625,57.055634003321856,59.669307372978686,61.96586103591469,61.0631429920053,60.481016541491115,62.214585721072055,59.428894011709254,64.33110058022123,64.39778221056415,58.932174387709345,61.012084971163176,65.66249942301614,62.64687245366076,60.247313991028186,63.55576001524737,65.24587260955222,61.358890034006855,59.92738704933098,56.020979780020035,55.86051564262419,58.01302651204271,55.669944368443595,55.56494741221559,55.927800879389764,52.6199212566699,51.60197256284839,51.74969247712994,49.48144471900351,46.25636596948409,46.9946080406637,45.90051848424421,42.69918935594082,42.68441395632828,46.52088488349793,44.14215413871213,40.18029531779176,44.32811407745793,47.562192793194846,49.02401811549882,51.7396314523848,51.59417719104549,56.025785225709825,54.833894341265676,50.94161870255049,54.97038517456085,57.22746808309876,54.6170602982022,54.52998967103671,60.26220121394707,59.66979770292669,55.5528362186167,58.318629010416004,62.8345788841029,61.21692465005639,58.02207888634153,53.59912707848312,57.925774010534795,54.05157474347006,53.17549178044274,48.401306557011324,47.251028980777264,42.37686168038195,44.01829179794617,46.406551532092095,50.181880533782106,50.23768956125441,50.29959883633114,45.95678419385027,47.85027461394293,43.487637499666896,41.10458852178824,41.70993675110298,42.14059593941605,39.01261276809117,37.712997447206504,38.226540091258364,35.95527166904011,33.20302970990626,33.46994829144911,34.36225640607294,31.42226354655645,29.380379678340073,29.054088208305583,28.733313280988288],[36.62990424674161,38.07898356362018,40.72151674521358,38.21443307067473,41.65704531788184,35.721718697502084,35.5903804640075,34.97248197023514,30.730555038493677,31.887723925553484,29.576708252898325,30.180704505805434,34.453701497050254,31.66481833598384,31.976029355948295,35.06487457324867,37.38770661749991,39.17612248867064,42.13620335824687,45.434231435769085,47.772031482126074,52.196140863602906,52.796695513775774,53.62521675388406,52.150823624136876,47.79823290274352,47.27213120101347,43.599596938848826,41.76791307107116,40.32831458034272,37.279433146900466,38.728214086248656,38.217017237356316,41.408626335239184,42.90805852680316,43.26591626565334,44.36948560192523,47.33182071589457,49.435270969082524,55.55834707736976,53.83255374626826,51.628701935346456,55.40699917986065,57.635206700409725,60.634888153599505,62.524127115018445,65.8071016408172,62.45468489615836,60.78903675882449,66.43178468946645,66.88194754802565,66.8547188719514,65.37015485814968,61.2472463521552,62.81832408403296,63.74290809618657,59.55997461078352,57.700688799546185,61.591663687314174,62.12452757403392,57.87954975302874,55.59059638851071,52.014023730749216,53.45660344803029,54.00753369094216,50.61524265438811,46.47862095993622,42.79254451203211,40.07386256427038,35.93206871823886,35.78273799498986,34.82352906843345,35.88740925224809,40.701665411295615,40.20604007216518,44.33868932036821,46.9198544101375,47.599652420931086,49.56181086916541,53.310205391302794,52.297284656747095,54.942277279403186,53.056974001413934,55.9494859274698,54.272213682336,50.681978377904144,50.43474833144761,48.815810560098306,47.09453750268122,45.87316270347902,42.51142225591853,41.91104603050205,38.19492755137568,36.307836514576486,33.98687590852362,30.696389820513073,29.227614823827906,33.19411455043824,32.95030400082787,33.787147167243226,38.42609075333274,41.05777788474772,43.9887747311941,45.705913972810734,51.503119361784165,48.86737453409425,52.36253866297624,53.64537663489304,50.53696693407189,47.735698154023154,44.43316202787716,43.86132393985176,39.27523256882001,41.03361434191118,37.90953019161491,39.98104424304724,40.482008244377404,42.79065526636802,42.89757234725892,39.248369334215866,37.46739968463299,35.57779210413242,37.62077158770294,37.26277425345801,36.42211855942851,41.5985592616564,41.22840447957118,44.941867847153475,47.98716250406909,50.91727324506464,53.41963267490872,56.8495152865714,57.88051551847714,56.166378614417496,54.29015191930233,49.96599541380907,50.99418988725593,48.08942736529451,45.989732472280174,46.69759415718405,47.7983972390079,50.649135080391616,47.55906182662028,46.5916531420128,48.39009466248338,45.00484851373688,43.593686691440254,41.309136495233005,41.91118023164826,37.95138594602548,39.369243461561034,34.85456135917414,37.455825942451355,32.69699293603341,32.023970820456654,35.803256783916225,36.08407034901765,39.93346001190138,40.24556232219472,44.37306551910489,46.846661058143546,46.66111809712893,48.26435227375405,51.24732965631448,54.91876217599562,54.40721428044069,57.52486928762372,60.26545341921867,58.760762938702285,54.77753653338452,54.504745996835325,51.31982922563721,53.02923609110901,52.09940829159946,50.67572853315691,49.988300768984175,46.105824342914836,50.782898613753915,52.51541214582098,54.430383961390795,55.54428577849114,52.49420397939964,58.19882992480373,61.27988449609155,58.76288963588426,60.587207501986214,59.11975058234348,62.74482018075872,64.35699729093909,64.32349185318014,63.96677681922016,63.40003438557161,63.00238754624243,61.640505768045514,62.12437925519793,62.930469420763345,58.68608360429507,59.139394045161296,56.89545552700436,53.7937570653567,56.09480350569863,52.56484030579885,49.956194807872755,52.55846903460486,53.13109878269848,48.31885895499463,48.50690037216099,51.29852070265102,49.60887066392762,45.21211485617986,47.28924645524723,48.27679171711166,43.813502445569085,43.23837445327492,47.14704847377638,49.01737026830202,51.65555993049141,55.58166012854771,54.94258293849016,56.39332012460432,61.14625513935516,63.82582648664964,66.12570505418152,65.31682445782242,64.648441123611,66.39646857564135,63.53234460653249,68.38426354725999,68.447511089586,62.85981634828895,64.89406970704108,69.50092416410916,66.4079202792068,63.924421364729206,67.15925902175181,68.7941243596804,64.86633938695229,63.27087038170439,59.567256165336595,59.444953367292676,61.75562168902965,59.615572320762794,59.550297145483675,60.10515069292567,56.670834012113026,55.56868709585299,55.95984187193936,53.730511381049475,50.356514048515955,51.1575920076045,50.25324114283838,47.06039123834867,46.93950287734395,50.90488512740787,48.628243761014076,44.59270729316507,48.67677390557774,51.9936363282542,53.339994422995694,56.08230450519954,55.8398668646063,60.2726135552903,59.091851800797414,55.03568291196439,59.03432579065608,61.28908984355154,58.60689191629656,58.36098628884179,64.16851015174306,63.5137716783084,59.23275604772033,61.94796283217416,66.53223748597595,64.82783637957456,61.51443032984711,57.00664307523923,61.23358380593923,57.22736167562859,56.6205503034374,51.73329887047984,50.7944656402247,45.902113282869415,47.234421944062376,49.61236247377223,53.32123189599439,53.391525709377255,53.72550742615222,49.28400584857263,51.222025637160556,46.691970019434535,44.66290749041038,45.439830502443975,46.1089652833141,42.93564145406082,41.43226777041522,42.193488631661396,40.105608228636854,37.02965775665787,37.2908935755196,38.50716616749909,35.70145438623035,33.64955755374306,33.33223938024713,33.017452559325754],[33.75028974169807,35.36247713913755,38.34456876192019,35.80626733762211,39.738997824993,33.974287790961604,34.26098369647716,34.08744313756384,29.947058668007912,31.401333100082816,29.54377071561165,30.438865787569792,34.571675210077295,31.641445372435165,32.651524411177206,35.77286270491284,37.71973454935834,39.90067526667543,42.7766455693896,46.19435649598118,48.62359988548279,53.09096845793663,53.641197654917484,54.181289882142956,52.631597047222094,48.187940983341576,47.57307510506358,43.77545500434917,42.283321216411736,40.94516660574218,38.55177448482231,39.78760289232722,39.753327631206155,43.16634392880487,44.26007286770918,44.36178790686215,45.23970917754466,47.969046301018814,49.813461753086614,56.061136631275566,54.085070461978646,52.22647194804085,56.18768769299305,58.13874277922076,61.081910894936485,62.7029930857259,66.16971854616065,62.967750949105486,60.95830915790722,66.58189748445642,67.31170514868712,67.35769596276863,66.07187637487915,61.92694622307448,63.80359408422366,64.79018108723427,60.51131622106063,58.922953021159756,62.97042164115293,63.22534548823569,59.09690647971178,57.139887685470455,53.678959690304154,55.110230836374214,55.34853001955846,51.8591330125859,47.693960589576584,44.02036473746165,41.086638275581336,37.0236327605083,36.67970220847767,35.98002312842328,37.361456071534256,42.21450401141978,41.79328475430569,46.354489232510915,48.57975462616827,49.55321722332227,51.20949960010206,54.76003806983079,53.56723665227238,55.88112980185635,53.87440684778699,56.502474568920455,54.62018927699141,51.28318451112127,51.31020733146037,49.94584101887604,48.353411646635415,47.60969191052422,44.242932467573326,44.05085755469709,40.220424703976235,38.227808152631795,35.45837866664819,32.43900305536733,30.43649973866728,34.485704098144495,33.84601328978928,34.635192780863974,39.327146531358785,41.485338155853505,44.55540414619574,45.781852794513654,51.44844583825859,48.444734200417905,51.78716806614753,52.793440681444636,49.42621064213473,46.90471224506561,43.36078967029186,43.05766644009886,38.430144412453316,40.21820643909336,37.422256504064514,39.325583920205176,40.22478692859434,42.32413043800563,42.98246200285498,39.494525133463895,37.39943179690672,35.29630870595116,36.81599538582942,36.31190963887488,35.290849632105434,40.3955352315393,39.84814379347272,43.750525029008365,46.78380865915136,50.056274587549304,52.14507523448879,55.73465785194135,56.84475997650036,55.45892026690954,53.31447946147997,48.975661612087215,49.5390195891319,46.82845552403322,44.75023646396285,45.816270523832316,46.88902078454323,50.09266032924777,47.25246699061956,46.16133896458853,48.28950955904858,45.01082481453444,43.321373152657124,41.141902229084046,41.595583039761024,37.53030992854199,38.87798067784824,34.51280409881788,37.34771792453308,32.56241591270722,32.351630563846285,36.14800374264232,36.321341335695095,39.93493926033451,40.46982880063275,44.156938231777694,46.47361490296676,46.6914806546575,47.847244784046126,51.13527654534046,54.45496385536206,53.57810638056376,56.627034262352375,59.19469757662862,57.46534901135393,53.52287185371522,53.37088096278232,50.3931277067687,52.46531045252559,51.78530326200888,50.65802827111653,50.142613689865414,46.48574568505497,51.355842917616975,52.86197263381995,54.65022846149655,55.44566651036077,52.17558797491869,57.79422497936819,60.81629499963261,58.272406188182174,60.44580704674139,59.17975439731043,62.85764701209992,64.11958885520914,63.90436198023585,63.337256337554,62.69896161279243,62.076914993560656,60.61329184357793,61.00673312671765,61.60939945696161,57.2167616505462,57.66853766016422,55.18838331129975,52.30077938798579,54.41255652396191,51.05049537421872,48.36182213771967,50.60265524366271,51.223254808744876,46.42957218912641,46.262716850281414,49.010480594279436,47.52346219401527,42.895104856601776,44.72867619334195,45.73048398760624,41.36203543575317,40.485175259059595,44.23549991445225,46.14981134899341,48.84227177715033,52.685169229269505,52.303632877900185,53.774367507737836,58.62516261635918,61.20068717432796,63.68118500376625,63.15073213241356,62.63784736560576,64.59877166724867,61.947608048241655,66.78329199027415,66.56798761781809,61.00114019043994,63.27697045557765,67.7214917829443,64.43686288546411,62.12693771180803,65.52222940109506,66.82995520079352,62.79466016552857,61.5549700208565,57.725910996106684,58.044694107572575,60.35275152807931,58.13183528520567,58.360687767231504,58.93757675542191,55.72000437922325,54.33108655211176,54.555438987421255,52.61160292851673,49.17249345721606,49.58535459814688,48.746679539805136,45.581149733502485,45.135899775594,49.04673437029921,46.82127421412092,42.593890813387745,46.45811256361292,49.82455316004891,51.116664301767344,54.075530647585474,54.028968876556554,58.4048866762951,56.916314783381765,52.85992140270073,57.050180955348985,59.04912355456466,56.23255841399807,56.17170509322459,61.95390226035488,61.003123596228434,56.74827157512159,59.68936863687739,64.12306413469636,62.180116360839,58.87640749863165,54.313044590121265,58.3488600703536,54.244736078331215,53.59122484560521,48.78055267439911,48.10296892306873,43.26486054071364,44.38973837169493,46.93969380955218,50.61923540050906,50.945266470000554,51.446998105470264,47.26112129835812,49.50605807071288,45.07205108029019,42.86083884231207,44.05885332879818,44.66272882500509,41.82001854927619,39.97918525480326,40.387433958433085,38.561403588276214,35.669296617843365,35.28621039812783,36.475067342844056,33.93261095399245,31.992476306140833,31.863878905226358,31.776202044564954],[32.38189227547449,34.304347990595396,37.723851678905966,35.42418469546865,39.86758625602003,34.250578541937536,35.06587562984694,35.184861210220944,31.322629468192908,33.199294664326466,31.74825073746552,32.683248065727746,36.815339428648166,33.95094681549011,35.4481677065703,38.50961210035542,40.25561072222554,42.7708670055931,45.65824047240822,49.08543569994412,51.62664073206517,56.08769080568989,56.648977292740234,56.99072578720181,55.34394546765634,50.85542224521382,50.10571733669056,46.20371183953943,44.925538670738405,43.56153880758422,41.70807093912818,42.62264411123842,42.86747655087245,46.4915567147621,47.33033662528233,47.354678902174534,47.955976097023374,50.63740009602825,52.27997500957483,58.56603142580937,56.469451462344416,54.95148428915016,59.019657222731915,60.732019423850225,63.667945958166285,65.0672162413369,68.65855782586266,65.54515006811017,63.24811813680144,68.83016598080329,69.75806391611236,69.80068163510447,68.70329874583568,64.498728271067,66.58604315168267,67.70371811399697,63.393403652276504,61.958457431321506,66.12721801470994,66.25192866625329,62.24858156675593,60.509141611651295,57.10970995956179,58.608613078875194,58.64026874537883,55.054763506251454,50.95744057111938,47.264029974699845,44.26710901767664,40.25185726638683,39.83144204525348,39.34743599385962,40.86930737728603,45.72790572327244,45.273517032709584,50.06226061907017,52.02881798081324,53.11242889364202,54.55327786873396,57.9683320557758,56.565711395572656,58.643763038308954,56.44214668312825,58.88234383154271,56.93663746337531,53.79676763151652,54.10682088375756,52.824421409291006,51.460010069469064,50.95789862395749,47.68002876950991,47.7615643436456,43.84979882677907,41.7206627191876,38.70257983734197,35.876674323901504,33.573714149435226,37.459711787829946,36.46542160555292,36.952390821073294,41.837582579928466,43.46942902271112,46.799621617572484,47.52976185810698,53.1183910378827,49.78992399253249,52.879656371419536,53.69809491638665,50.08795842025252,47.81276997919189,44.13623692209896,44.243112962707016,39.66663932443685,41.60820111075149,39.22760775200755,41.04985723762621,42.328814781747525,44.29986620663483,45.45995164569578,42.071400173879084,39.77501482096876,37.4661517338815,38.52787870590414,37.806413011950625,36.51547971803637,41.459823821634615,40.53531147994229,44.62735033291245,47.54639685573747,51.110553517334075,52.81491870831678,56.471432687010065,57.76913735303306,56.643343232959616,54.38157153276261,50.0944449293431,50.208992409788294,47.814384441290414,45.86116315473977,47.270948876484475,48.4219072640024,51.942865956890856,49.31728170208752,48.06614459497548,50.428838939547056,47.20749304156967,45.28383020103145,43.10762463915931,43.31784177409823,39.139395106767346,40.22494887969249,35.96018033514126,38.75909200925252,33.8254175480328,34.17596735421196,38.05881755495064,38.3356436307991,41.67578857671456,42.55703075370355,45.80941982202498,48.13533425193809,48.780784013110306,49.634300550843115,53.148050298172386,56.16231437086214,55.02825978266093,57.920768271720824,60.36231796725475,58.374057265767625,54.52177774659897,54.4229138557184,51.68029909711163,54.018844686018326,53.50563253851237,52.60796532811157,52.136288342038185,48.727163804250864,53.645278899288,55.077118464323355,56.683110221498595,57.30928658743933,53.74684542346161,59.286119214837434,62.28697586558785,59.799583371203234,62.32264579629796,61.300338144314246,65.00558286568423,65.99797327699568,65.63162496618281,64.85567404289836,64.120465104718,63.244539890495645,61.63315281100904,61.873491728088254,62.21625735771178,57.69880640408388,58.03291703086572,55.2743493464074,52.55510766900131,54.33533316048784,51.088727163766464,48.45268459535606,50.29354134720023,50.79598840463048,46.070087538317665,45.69930462215605,48.21993347608344,46.759000555641,42.069128875287646,43.62430506670276,44.45853160617866,40.206420971749665,39.16499397266868,42.605448267582354,44.69329141704926,47.20078678229732,51.19924290273739,51.054256083717945,52.387227983619965,57.31707649862696,59.66778898170433,62.38693696931659,62.10819195239216,61.860158262243104,64.02560332814838,61.664152831285634,66.50625746520822,66.0174731724858,60.58866171575248,63.127597883848345,67.42561040929839,64.00781621221824,61.93882562391997,65.52291455116826,66.52788419073842,62.41595814080288,61.63462245000339,57.58957354894106,58.31078016774873,60.50964419076159,58.085706727277554,58.543215951875865,58.972638415044074,56.057380406175504,54.508894502739096,54.37906049626985,52.65243349647884,49.32006800660516,49.32702142874284,48.36511095020611,45.23806783485392,44.587350603307094,48.26962568722372,45.974433761111584,41.65838771141398,45.31104692525887,48.60811578879852,49.98179263413214,53.1551519339656,53.42778854892129,57.72162430270495,55.88132565134482,52.00360364629501,56.41592022503219,58.1187658363766,55.21233638835172,55.49114190147901,61.166147559454274,59.90912581765572,55.81737827645542,59.04563294261779,63.24405901080431,61.066843329738795,57.85945830082118,53.29206751587222,57.11270150266156,52.957948097561186,52.09159148018378,47.47907676354219,47.03665053639751,42.30982704113505,43.32338273612779,46.08968740550697,49.742869096969955,50.375293736919076,50.934956431498684,47.11028651564664,49.63453949999187,45.40788321667782,42.851835087557085,44.343719508271654,44.71857343841275,42.22450561088603,40.24046849893751,40.127373284452865,38.43030932179145,35.991777796443884,34.97138701874262,35.85358593125345,33.494910996029105,31.703295144776003,31.734693073319196,31.804838760782832],[30.91877187024165,32.60762561843486,35.999259331577974,33.09141822138261,37.719130913560086,32.55594254825967,33.31758992826423,34.044383890408774,30.019326376352183,31.526210590170567,30.39970746451826,31.97499865846952,35.481349687876445,32.163635695806654,34.18513750084785,37.361818561708084,38.521732671513455,41.066476983437624,43.50883737486118,47.194893599857934,49.550147154541555,54.06895445129927,54.38197278515259,54.430952734029944,52.950217761358125,48.432781938360705,47.89508910786437,44.06248595980836,43.23147897960935,42.299193729946836,40.74125108267015,41.980839819214474,42.65716279706696,46.14755575019561,46.65475856800485,46.21069776318675,46.97597182300861,49.05243634718445,50.482642850687924,56.886675730141505,54.423632139973506,52.9399813834955,57.1493197063031,58.72550958323607,61.4351763924505,62.65141666673491,66.37928812676397,63.53028622029378,61.089840425950044,66.64243373186419,67.83264650829013,68.11490196956787,67.06899040571449,63.040963498847326,65.35889875475733,66.24064886134329,61.81027982287329,60.72087138049853,64.89851295549092,64.60458693027935,60.60623040407507,59.17145531825608,55.96863039487308,57.15655833338217,56.95659319517374,53.489226102653994,49.14447402125981,45.68498306082642,42.30663947510548,38.55376309922018,37.77140479088575,37.29282416061208,39.29429475944839,44.06599381444012,44.01439312294545,49.11955395412604,50.91651944134473,52.433712741879646,53.69450629254798,56.91566780171235,55.67064950469872,57.47720172881329,55.53045499804202,57.707170126786,55.38805661347819,52.48928988106624,52.7491002287319,51.96922178954606,50.318792670638274,50.3940954227543,46.909700101547415,47.19877367138495,43.34875690928231,41.42651579907316,38.11431541221512,35.51808120081398,32.85896440653148,37.21723423614012,36.21680636832627,37.29227814763626,41.66425701421684,43.34905619855597,46.299196775897435,46.9580671419375,52.246555159247244,48.794092202356076,51.997865615050635,52.4755809952833,48.797822841348626,46.79271992303422,42.85766015740654,42.72085695808184,38.06651816593461,39.59231398387968,37.17435649013864,38.58242352047722,39.95023803471566,41.50215058299973,42.824533274684946,39.819661055508256,37.23569941975839,35.028416808349945,35.6681531551027,35.18637643119082,34.16986449601462,39.092169551500284,38.667994380320856,42.70517718057532,45.79376676960202,49.547531632828175,50.937345223472285,54.83182276517417,55.85524741725329,55.06957623983844,52.34559119771848,47.98019704828095,47.80578543403466,45.23528026500025,43.035514959421015,44.60565590302012,45.32613394349337,48.96012254171086,46.60720131575034,45.51131049309004,48.168764071429905,45.22480011430502,43.192298641645685,41.42493079891446,41.86076651528503,37.848285199972565,39.35088226870209,35.44267541532902,38.79614798959404,34.345196025940055,34.550150632342735,38.10257256694368,37.85485659777298,41.11497311344423,41.691163984230045,44.73528460687693,46.50581683864442,47.14656067973849,47.454806642448084,51.17256688701624,53.892144214931676,52.32681397620043,55.40049483049091,57.566089319455905,55.62067336972055,51.72726969303305,51.90073228823226,49.23999714036599,51.93403252351914,51.742348241201114,51.11772661847298,51.03354468660933,47.68179162413507,52.873305383537115,53.85072093837525,55.5565383450577,55.708529927947126,52.37025339639988,57.74661699166598,60.56982682315019,57.89167135341861,60.45239644766158,59.35824081774961,63.08006940200958,63.73480829241609,63.25571913397298,62.42400604374645,61.753109941364976,60.89719091585863,59.403238238967134,59.774081235423026,60.161048076807816,55.583743755765624,56.2136285426629,53.47585798836244,51.05998358237519,53.02817675871542,50.076439419914784,47.1487923609443,48.79509614468588,49.70358263916521,44.9953712217556,44.01525336293032,46.86275281089005,45.984323399767156,40.865489115511316,42.237781067710756,43.461152691907955,39.36454329807061,37.76965642555307,41.280061015502234,43.07947180392949,46.109508825557384,49.42485544982975,49.57896437598665,51.25217407585114,56.22663273940927,58.71125989111066,61.423484455521354,61.41547019631929,61.046510488147995,63.33913797930387,60.97376862176293,65.68720109110217,65.02351991537948,59.424123414967966,62.02389693227598,66.1259691914692,62.49487001731637,60.41141005757021,63.97197608454444,64.69480935697783,60.49116881108576,59.705019446669006,55.87670968619066,56.94403383308538,59.35605428176541,57.21005548150069,57.961293462329266,58.76195227274475,55.81979314660719,53.88377645699614,54.07357059879654,52.675525125195605,49.02091451067661,48.85068889463927,48.34583824973655,45.29109407562295,44.208597472823364,48.120316041573275,46.15407225829539,41.61419311851805,44.987356507204424,48.48507656934868,49.51750863959332,52.79275567999534,52.93615146708492,57.16994371238259,55.238278803814595,51.04873087677434,55.45163260147492,57.03000979333212,53.967803755957874,54.036394458221224,59.78811410038256,58.3378766835157,54.01327829992332,57.22559930340904,61.44471182856883,59.08236811492989,55.7213774746257,51.05245884759379,54.67910034357812,50.363720770747044,49.880344342269616,45.14197839605787,45.04764575893438,40.36053294323752,40.88542196256821,43.64753189317337,47.17492649449598,47.90636936060742,48.88103343593662,45.09066681509305,47.833077689397335,43.5071671438019,41.32209194246885,43.33077645431424,44.02827030777455,41.752067088853536,39.21573997520672,39.260869660959244,38.08535032758742,35.27184101144369,33.84418803499704,35.27695896489956,33.38810005352404,31.69571847435811,31.901569361828855,32.23377808988653],[28.36175395394472,30.311697181682078,34.11040814670976,31.436995883109116,36.55647241446048,31.69416278922217,33.019332835707985,34.1095478934406,30.47679987171551,32.40286863392627,31.782633342444704,33.39570222585956,36.793584114691875,33.626145130251224,36.18055942964522,39.22752042761546,40.12700916459171,43.05203277706032,45.51641548367863,49.14176624875556,51.64199051853595,56.10135173080107,56.460051922070264,56.27863938261763,54.650155267966824,50.12498451586618,49.39267650303127,45.46959660279163,44.89697607642987,43.94362747645575,43.076408761338044,43.917536686701524,44.952692568077076,48.6607356009872,48.824083109608594,48.27394463064899,48.694368814995165,50.68110862859105,51.84776573051256,58.240574220077235,55.65607154877788,54.6184031375187,58.92118286495522,60.182466968172776,62.876458719566564,63.81318082327189,67.66454755636377,64.9322277361835,62.15360584616773,67.61938138081234,69.04488225758452,69.31311868663495,68.51442265752617,64.43698584905984,67.01195942057451,68.04936866692101,63.60410484657739,62.72185794209538,67.03316167556187,66.57376334301507,62.77087447750051,61.63077582682261,58.52816025822975,59.82600093802979,59.346756810799064,55.76128832878535,51.57369295131938,48.09875191459634,44.719882216431294,41.05451164894785,40.232850327993695,40.089037016842546,42.16919492721534,46.901677375573854,46.75219494288587,52.11851441205703,53.53775330949952,55.19295295974556,56.15046882278184,59.165730515018666,57.664313850023866,59.15294851551267,56.99659892652053,58.91662138230919,56.52587398282334,53.896510283749336,54.501224517560885,53.84532949621307,52.488009898702465,52.88918663097256,49.545156837655604,50.21018409872223,46.278734595785906,44.20021600991338,40.601022063922166,38.28923980993014,35.296323290066404,39.409502847246486,38.01531732819965,38.81395339682008,43.270483311530015,44.3545214678421,47.5111809093601,47.59874524614972,52.71115803871729,48.920192242124195,51.83016111605235,52.05933958030436,48.147832716128306,46.462500703657334,42.40253247856696,42.69449727837748,38.16617434843203,39.82123088559645,37.93193016297563,39.22873129913568,41.031861892636506,42.437748854447904,44.36964822693768,41.49099087559607,38.727646620457,36.29171385734891,36.388775578428934,35.63251297067561,34.31079218509502,38.94971605584352,38.124043452612305,42.308533226549095,45.24211399821688,49.291087088616656,50.220021751209764,54.171520977001094,55.3719207915273,54.90360146743781,52.04672716824825,47.78185473803096,47.09664548489865,44.91322455956872,42.89675402975261,44.84439780914578,45.68906382481778,49.65918524501707,47.571997307520206,46.27583806755654,49.17087366306503,46.322868642461856,44.03745521407524,42.300808654723205,42.45632272493326,38.39175135681896,39.61739915364165,35.934549611195756,39.272601791947714,34.842858234210226,35.59862412595783,39.126180602382064,38.92624598485329,41.823521270062905,42.74575597677397,45.24025120052671,46.96210441516516,48.09252861616278,48.03666134278595,51.980452595248195,54.31306247211721,52.47388700746441,55.329835598230915,57.34090205491043,55.110263416657205,51.35634320794829,51.582164800969146,49.21770353156705,52.19293298304345,52.20397938480834,51.86315737011377,51.85417855094007,48.82679341681555,54.04667358680468,54.895026840870194,56.38130302869266,56.306309404246996,52.676419868821355,57.905670844788055,60.6731655585746,58.0717350546052,61.020066006766754,60.22488369212422,63.95306857231672,64.2849455524602,63.63536597047408,62.56012962035251,61.790724747332895,60.63864381707984,58.98714608928519,59.1889915815713,59.28962751361965,54.60483733101452,55.12476351689638,52.11531063505318,49.92916978141864,51.55694172384285,48.79370833607705,45.90869013767174,47.096283144177576,47.93498539218718,43.3468998484957,42.078951026019986,44.712483530289745,43.97106214192174,38.770840025253484,39.816030702154904,40.93125990477509,37.028520348897686,35.18492897019158,38.364509694258636,40.26684001457825,43.18279914332148,46.510911394642655,46.93465998270653,48.5202827094194,53.54199528664851,55.83981707429604,58.75161546487867,59.03141108814124,58.89625550924707,61.39949243019039,59.33393774246639,64.0050274470582,63.0446380565276,57.58648799100508,60.445786209167856,64.34983400405305,60.574817893231824,58.74650369321047,62.47745899043106,62.85530112030146,58.5893634133359,58.281450650594145,54.27375405498233,55.79122627639948,58.10179786249091,55.80387015662529,56.833556589853025,57.548397946657296,54.93018247268333,52.77590911724502,52.665248233572996,51.56546129882345,47.986005196100834,47.37164914824312,46.846814793611365,43.881574233328145,42.510688390987596,46.20538633370016,44.27308792459855,39.6483379788627,42.70708650775398,46.15252646532589,47.173616920329366,50.65038780779774,51.0761822130952,55.18610597088571,52.909115171632756,48.86429381024244,53.451247555111365,54.70712619324191,51.55164869384078,51.92380168826305,57.543738904910796,55.77424577722497,51.60707936295592,55.08461281532882,59.04837887937681,56.44959951138799,53.18661207012889,48.53266132685125,51.91295578664115,47.562439259669105,46.90064769111255,42.377510569334426,42.55287317161488,38.03199959806167,38.38951207820605,41.345215912869264,44.80581551483676,45.85174147550066,46.90884717383586,43.53913927070571,46.56832199418938,42.50653902338285,40.02043677246256,42.380742245061455,42.884410573505285,41.03859975615612,38.298153597890234,37.828087640516266,36.90367579117476,34.539022251180455,32.400962496072786,33.600462994818834,32.040853255518094,30.57699208879207,30.98051473124411,31.542038702132096],[28.031374479150163,29.47321062914223,32.925935726423255,29.437510016362012,34.448139588501256,30.13135459075231,31.118249735019425,32.76443178974787,28.90226610885319,30.1810826890574,29.798636310380132,32.07896944416376,34.70293119501517,31.054072900553606,33.98314313746323,37.12057384966669,37.41696901489669,40.21523517944384,42.14409858893117,46.016433121210575,48.24750157863894,52.73579271398334,52.81566282314654,52.37966210624938,50.979828462637485,46.47190688862579,46.033706587821705,42.26594739140874,42.128517948547305,41.680621304198795,40.95913592022537,42.25691952553198,43.64112076099268,47.08029146271354,46.976110316017355,45.94942964503924,46.648421297883324,47.962350318451165,48.959455630932574,55.421686522294166,52.49219019334739,51.36992781232557,55.75892440744006,56.95373529579549,59.38385472559645,60.200366077388146,64.1377590158541,61.67521176780031,58.86673740807057,64.29187011809836,65.91850284542261,66.4572988801272,65.63842885109416,61.800796090110104,64.52689222995944,65.2496633000763,60.70966883783522,60.15039240522135,64.39826477630626,63.53650639574013,59.71506810225317,58.83670146758732,55.949207442514364,56.879138751583724,56.22141762158395,52.826268622726346,48.38543079744116,45.211229761194346,41.47567597709436,38.142979260453075,36.95722939478454,36.77105530806685,39.296093792518946,43.860359233577455,44.157760124392865,49.72691905672023,51.03003201711968,53.09900988220821,53.92870973720079,56.758457696102596,55.51832977752784,56.79147199548627,55.008485633953335,56.70217425096387,53.940835441009874,51.51912075916853,51.95202975116379,51.82089383079097,50.07912927364889,51.015473723606334,47.45703931963622,48.24739839783398,44.46118668567029,42.679408821348964,38.90822424844447,36.82637619908419,33.61283045088531,38.203610256119994,36.95898926017812,38.48682717257917,42.25135223037767,43.59350281201707,46.19208246650931,46.413223358235236,51.184575868623895,47.433626780007764,50.5633123586925,50.49916224834951,46.659517461788354,45.17520754085278,40.92807048402317,40.749383935975246,36.16352285665199,37.24445574333581,35.16257406498933,35.98600273838831,37.72458876744368,38.673045793517446,40.59331103407117,38.15523965038588,35.16602459767555,32.9562143081708,32.71540537443102,32.34309282552194,31.48434833720323,36.109286201390326,36.06260048507291,40.04616322002072,43.20279322117468,47.2979671623845,48.04360224086297,52.20937569113825,53.00234456388855,52.79961218107752,49.48888617235349,45.13694889405126,44.328345311303735,41.80505978793876,39.45206407388448,41.427110622818816,41.724253858917585,45.67675598150905,43.83396825295622,42.79115712433499,45.90949419566132,43.381046811434224,41.08651524823661,39.838878501332076,40.352201981994185,36.57935595482396,38.37231580484397,35.10062157763334,38.999638641246776,35.22131086360867,35.56719635038362,38.64646140706766,37.8403065496512,40.721605407917075,41.14961232607198,43.56658385433646,44.63933501075576,45.57365917450043,45.02119475246547,49.074356875806636,51.18623015587832,48.971300133962615,52.09223446510454,53.83472548025855,51.78186663392793,47.95249356946526,48.470903656801,46.10918405646049,49.3582412418991,49.661852696753414,49.53247206387004,49.93747116470717,46.89754145724204,52.35065562964406,52.722479401306884,54.38612524190941,53.85744210809007,50.63229453706859,55.68117746763834,58.245075595375596,55.415604272135226,58.237050170667175,57.25983756695717,60.97672535189853,61.04218654526358,60.33237829724365,59.295104292324694,58.63558463887737,57.632806634340106,56.192982941988284,56.61618626742942,56.893394868077486,52.2242943722945,53.137299267048476,50.30736103408245,48.39583324574608,50.392088134361714,47.921197430244774,44.70636865952184,45.86850797298114,47.22002603264802,42.65823331482663,40.815464754620955,43.92100956689894,43.82518293393312,38.237398259863745,39.21401319724978,40.85058446552704,37.10990715604906,34.75999486230969,38.14934717443322,39.59673700551528,43.18177228258037,45.61351397919576,46.24163584783332,48.27442603877658,53.2628955009808,55.82344049311982,58.572432813641065,59.00955716112915,58.6004673551711,61.11938921934997,58.91071922458183,63.41327755049681,62.4081392982995,56.717254036649734,59.491576908251766,63.23505803064599,59.310292588282415,57.349661110900136,60.941454785182884,61.156412736895476,56.84413978245073,56.296954076903354,52.66436856442365,54.36068263183802,56.9490272098804,55.07601395839941,56.306673958385765,57.494341832727315,54.711291752785854,52.22950372921689,52.64804666709889,51.80010165876849,47.84915021822677,47.254553693057595,47.29255890914996,44.41404863339798,42.70158723228262,46.726430602762484,45.20165646932816,40.44086123303685,43.27718227762362,46.94069695833625,47.538434724415474,50.97941539372192,51.090943987169446,55.148978895368415,52.977075818043915,48.523392561741936,52.946473501634685,54.2149850111955,50.95642159665524,50.90573438003583,56.635337195710505,54.82584723653044,50.32888730040711,53.61472762181597,57.708583602446176,55.04015828574549,51.56403085872227,46.82039832136857,50.07550686007996,45.585528235840954,45.49816790263322,40.752236107708626,41.20289689751877,36.71182767884174,36.54512173911967,39.34975990452861,42.65354123316986,43.64442257865463,45.14913627454183,41.6549997838234,44.77252627048906,40.52526844405416,38.66943090655913,41.4446494522505,42.41569465717001,40.65847901035502,37.41146480540685,37.38799542439496,36.986050961758,34.023598936883076,31.78861044212401,33.73917945767311,32.625266422630204,31.233020365712683,31.7557179563491,32.51573765944727],[26.048212855049055,27.706700295768456,31.52550490466483,28.29243329804574,33.76011416893215,29.83815964866976,31.36507548312633,33.33921046389024,29.91703667866544,31.571840452955303,31.65009832510483,33.900613305999435,36.416122035904415,32.97602156176698,36.31843793495424,39.298041389256085,39.38109534163794,42.49441436643854,44.442935095281626,48.21604540018918,50.56950976740248,54.97039532264576,55.100244441016976,54.461359990468075,52.92857237417602,48.449031324811415,47.826033722714584,44.00716197394903,44.09713290413056,43.61896469798223,43.50920475067045,44.428256884478394,46.098461335000046,49.71431744692316,49.32243351678826,48.226792744124104,48.60372457751773,49.84423683155068,50.59601498063246,57.003560079660126,53.9849723513735,53.28526338283304,57.73291282407112,58.63087253417399,61.03922557357928,61.59005733040495,65.62602143644862,63.27796953843377,60.16586972514789,65.48165942797817,67.31835450883679,67.8424839389597,67.2513065023498,63.38064762581034,66.32727987212182,67.19967191639813,62.6695824386601,62.29195352354589,66.64557181069289,65.64877512204546,62.022760986669,61.40492295126815,58.61318337450879,59.64573983826162,58.74996544883208,55.26395407819125,51.004023197179485,47.82822682460141,44.141170092994514,40.90385968961629,39.71550067474138,39.82535165502407,42.36731663117975,46.86699539814339,47.05417843695835,52.80408015256342,53.773105858769156,55.93410711227989,56.49827258169591,59.13831178220562,57.667886446736,58.652753637559165,56.68144996701406,58.134712188262185,55.327403387413284,53.16580175582814,53.915063224456205,53.88172647054703,52.424454177468924,53.6232267607142,50.216400302711115,51.31942162975334,47.47879694043011,45.561525355174915,41.58623779352977,39.749137938300244,36.30458575227301,40.61455188051082,39.03903621699686,40.286218877400046,44.11148423134831,44.90271070944644,47.6771966859044,47.37339892993906,51.95124704730586,47.907260218977626,50.7365779663175,50.43130808651003,46.391536264346776,45.23187074008476,40.89902911807884,41.13499743314632,36.72230459186103,37.914574021139295,36.36887371543398,37.081153223894155,39.21415629894788,40.01956842417785,42.494612982239744,40.190206140248286,37.08263551173456,34.68701056296059,33.93808508041547,33.297656416066644,32.15105846341087,36.42639424779451,35.990354140809394,40.07238046426999,43.04981059740288,47.40123461149185,47.687391421524396,51.88648374095049,52.84397671772379,52.955048355281676,49.53135553754866,45.30928626302255,43.996637684071814,41.878430966614935,39.72898318862333,42.0599094391154,42.47684276691605,46.721815111267276,45.151065347720625,43.92302644177922,47.23690516915937,44.81693367375814,42.306930809359926,41.09493271117328,41.33555199671813,37.55436177357413,39.06351664778634,36.035645425770724,39.87282052195734,36.147984981513574,36.98056804452958,40.013959124513974,39.27130804910111,41.79530598312648,42.543230068029864,44.43238109796959,45.45096855694379,46.84076006005919,45.95292508963529,50.188160132860304,51.91646618629089,49.44988697632026,52.33588909049213,53.91252856710249,51.589433797148324,47.92400933241029,48.494541568706225,46.444190841064355,49.94441991539932,50.43985610979652,50.578728146506684,51.04699929633911,48.32940774322933,53.76539785057269,54.02284423056712,55.47014162541424,54.736905709152396,51.25475787405756,56.133115802006344,58.62962433483452,55.888025079113056,59.06543088077167,58.37627709725641,62.08026167234051,61.83939923247558,60.964422057056396,59.70004575317305,58.94131652548026,57.66299263607225,56.08047453519176,56.33622958302259,56.33181958637617,51.58045343776425,52.386564405559554,49.30205364630193,47.64090956100059,49.295411521066065,47.03540730377683,43.87424672413461,44.56380341460853,45.85688178433884,41.44740406178176,39.29562920478152,42.181638581170006,42.25885265163219,36.60707951662536,37.22808300214106,38.773126366511725,35.27327560708162,32.6416706541758,35.666723686127035,37.18344700899803,40.67739079593534,43.05183389437651,43.978017675161546,45.936504955652616,50.960507817923684,53.31508137152084,56.26096433632181,57.000812490198115,56.817996986475954,59.537790211631545,57.62912269208009,62.06804126000037,60.769999124031195,55.2329719345605,58.25272483363409,61.781843732066044,57.71941411566395,56.018154154697406,59.764223397113625,59.62781062254902,55.26250909183929,55.19454072691929,51.40821513814879,53.55380234110785,56.035694116832275,54.03175684170308,55.533428314836684,56.643444502139054,54.18455225416541,51.4973235244848,51.63511844000164,51.089065266884226,47.22829954802227,46.20319051185506,46.24067881310822,43.472906321729845,41.476600444240376,45.271749572474526,43.80917696279938,38.994387258173774,41.48117751862179,45.0791471947028,45.63928172210344,49.26322117665593,49.64307791053479,53.55628477815168,51.05099778236894,46.74608972085969,51.328692918993944,52.265269389500375,48.91808616374838,49.16083969314692,54.738248497493935,52.60621712716588,48.270233268787926,51.810179541531234,55.63477403612904,52.7232393683295,49.34730460803461,44.62943902294987,47.60316766567465,43.07525837067253,42.83552305357217,38.31964687916605,39.08148455303155,34.797469167482596,34.41464619104029,37.408267409338904,40.61462294624158,41.938320724346625,43.54493885090802,40.503436197116514,43.89789752695029,39.94629455974145,37.8160568803924,40.934588290645685,41.71820035246813,40.40424126114367,36.974882907785656,36.44751481005487,36.322539998581846,33.822370072184164,30.90223500396251,32.620754236640025,31.87905212013552,30.712275116081436,31.428838676311944,32.37891052122043],[21.884781345212303,23.736587880528287,27.730772182085687,24.97271578518413,30.561400423072733,26.44075779069296,28.336782355431367,30.1921499348854,27.13509440276843,29.332080376372133,29.621257268056034,31.549041045112872,34.30546392150868,31.308454295172563,34.77610080086786,37.55331170321706,37.79864972264164,41.24911113275256,43.603394406524714,47.08762300766394,49.75905025357423,54.04821380053431,54.467456634367835,53.88797344612953,52.02587468453944,47.560509822700986,46.54691435517823,42.57950780185247,42.54005259438249,41.73963131704073,42.09510455237709,42.44667760363238,44.231829016717356,48.11467677821296,47.56416766388722,46.65246892552434,46.60980166710535,48.171822893013676,48.85278574729032,55.16446930707647,52.333419868813365,52.00299872574725,56.423765248813844,57.14828662420701,59.74681240780536,60.22275481906947,64.24420335398374,61.7580197798808,58.47700893564983,63.75634301086782,65.56205623076258,65.89497106862682,65.46795169084442,61.42132176888421,64.42839622611992,65.61078206401942,61.15426904322486,60.7174567766003,65.19740389222183,64.35642592270376,60.91939591762694,60.37123055451941,57.54005016163867,58.93574436076334,57.91898120646843,54.205870246251585,50.32411930794594,46.928783578144746,43.56629973282842,40.19261629405297,39.28074450258473,39.79385123026777,41.99282430544008,46.52807174141928,46.26901956242536,52.097835946867214,52.74813780733124,54.771839172689724,55.124309249097244,57.682152523011794,55.8639382268605,56.73335711337892,54.42595674490528,55.83139880240923,53.21365739969844,51.107385102426946,52.1920788123531,51.94801587323955,50.948539079060176,52.11594048062083,48.98228008502487,50.37737339821466,46.412956824497144,44.21895681399397,40.11111363177772,38.45906697255991,34.86806951526049,38.69140087494108,36.775234656914826,37.576702802896,41.626883807837245,41.928817213245885,45.013480357482976,44.326763981148794,48.931345142315564,44.73468773914757,47.33629737959992,47.076199362800125,42.942611802492465,41.8017832475405,37.5272170369847,38.16016254671276,33.867843500522255,35.44405276986127,34.31468077461523,35.296383695297074,37.707291649489186,38.804858339160745,41.66853410655016,39.10225092761997,36.09541693254506,33.387113571992884,32.59542516320046,31.49233251644668,29.868212197072193,33.98809879133764,32.92138522971073,37.140955006979354,39.92590087622277,44.33074165120845,44.58332199834847,48.66498242970376,49.90520809914376,49.958622612038724,46.77447086183014,42.65938646112529,41.29163596381983,39.53924824458652,37.73541644521359,40.17052292929255,41.134495265205786,45.5266701295266,43.878608250595036,42.32776441132364,45.568074951312646,42.989517475205474,40.360602511312344,38.86005101151627,38.73922432734089,34.81746532862393,35.91339410555234,32.8860025352375,36.50370970828966,32.70241007878619,33.93313862446425,37.018659831093835,36.51286725167394,38.79746243023785,39.94745208452724,41.5472366914046,42.87457693522305,44.629997709884826,43.88374870645869,48.13050542064382,49.81800244488471,47.54981055351177,50.12855426061322,51.87740452781854,49.33962812962954,45.78256676466139,46.12787423159808,44.181028320604455,47.57595937812769,47.96797315247663,48.120265407671106,48.40195655587958,45.89653956745652,51.19766268831044,51.619951617280755,52.8422623499485,52.252496666101635,48.41983493179978,53.31612998819506,55.90352215901534,53.34337775322131,56.760633907196514,56.3465599256445,60.04786382888698,59.84797697150656,58.94051903193473,57.561593453572,56.674840559483584,55.20206146110344,53.43191713886501,53.49393101317384,53.31737376006829,48.54794538725206,49.0922155105285,45.87253723188991,44.09887324704521,45.528302241596656,43.1717212076833,40.16022008078975,40.807106874402585,41.87409700866766,37.46272479956948,35.546582074895085,38.2240036459651,38.06327703083115,32.53493615922294,33.204530550276104,34.57832791108226,31.003544629863722,28.557678126452778,31.596907080872626,33.276437119414524,36.5534051925979,39.308442177211106,40.053322960003925,41.858626390978706,46.89624894335046,49.22850301998158,52.17524554350687,52.80874093662351,52.6930324023713,55.405597675188076,53.5551275648696,58.054502044757825,56.768327112644656,51.318600231061076,54.38653852060248,57.98163838432183,53.9897943583557,52.351609202538654,56.17863237606039,56.12799745098434,51.788843735839265,51.86258400464834,47.85238258300764,49.954778674035076,52.289922935716405,50.090824929814005,51.56638771635913,52.514074515291384,50.1765348814291,47.5439711004132,47.464396694167164,46.91481408978088,43.17156081920536,42.050729245759975,41.94957432484871,39.18491918938061,37.2135101388788,40.91655186648909,39.39108927982007,34.588241432545864,37.10571227698434,40.67226373997144,41.31846613348293,44.94724830027655,45.41378144146649,49.341432403037,46.81563605306919,42.62341799224247,47.265906316229305,48.21954135887254,44.91943574698955,45.313361225758456,50.862174272530844,48.80103611771365,44.59063304352227,48.19886035589879,52.001081154077866,49.18579419502801,45.9031204265021,41.22943893940592,44.38813636511523,39.97476038909612,39.41342921609122,34.935484837453345,35.44108652772693,31.099632220388294,31.08005411817901,34.131148647088914,37.471980297107464,38.76984131438311,40.07544321328368,37.10517615090101,40.476686759456705,36.683663554366795,34.167994226059626,37.179382586093965,37.743476494370896,36.5301182631126,33.22424038286076,32.41054057543291,32.20000027963331,30.02464768924338,26.93628473102297,28.38504773836304,27.646019918664624,26.550670428080384,27.333051322309466,28.367953740467048],[23.312866661716512,24.851714201770793,28.343896110914105,25.27427533641953,30.29245954906215,25.61186469220408,26.869971217967333,28.308931527060984,24.715923155185983,26.582249316622484,26.364167877418136,28.290693442252433,31.253565992914233,28.073517588444737,31.12887411853212,34.068501349866516,34.599750693536926,37.790196125981346,40.2346682592655,43.77910588562412,46.39774238803908,50.77461796280785,51.20597259508632,50.86856035693772,49.075345171774245,44.565116156556044,43.669750234359306,39.70866921973058,39.37491123068746,38.53592163955191,38.298632366013834,38.96264808142591,40.465838468900905,44.22742530185526,43.958624655539026,43.15486119794363,43.39460538070074,45.11309891749019,46.06768011153301,52.44854256993325,49.74881599685384,49.00542922647664,53.3698150489809,54.400422514656405,57.07291938794277,57.84214481647443,61.75657373636097,59.10267589773819,56.13147146739791,61.5434468695024,63.10360458059715,63.41432351828318,62.7545444675012,58.701463292083965,61.47631193717646,62.552591289731645,58.0874929753997,57.43139205947402,61.83168827583468,61.172811649967116,57.54662626659697,56.72002243052202,53.766191844625126,55.13269031043753,54.348705769251616,50.67410795887217,46.66431141683461,43.20386400515512,39.852928885263715,36.31880469679012,35.47810551850594,35.7831998718352,37.8798453740078,42.514678653523816,42.26167376770472,47.94167473877333,48.88100510779876,50.78367757654643,51.38256969643402,54.14293447621565,52.50884823383334,53.68682613389652,51.527157519506936,53.20648631656573,50.66632547924807,48.25845498062706,49.04901024950168,48.6524247355981,47.417082917757746,48.29471402414872,45.03554363596295,46.165842692824434,42.213300179151155,40.09326170356949,36.14728756373682,34.25864205114139,30.850845764558553,34.92356374078233,33.29930136220473,34.372289069036285,38.408606474242845,39.282708055813174,42.21954401434192,42.09316824831258,46.9540631654477,43.07155001624012,46.02198945238257,46.06151774495168,42.15302411738668,40.6070820184196,36.42674954540367,36.59853184289118,32.08073836014341,33.59646349165982,31.88256761920281,33.06585767549087,35.08408602899403,36.426343091382314,38.74999369697149,35.94907394509776,33.08397933055634,30.491806635780232,30.290691008187697,29.396564300340305,28.013993944091357,32.57379320507039,31.886690300572045,36.0277161048489,39.02201305002336,43.13150225025058,43.95044095739626,47.98402296916944,49.06364841419545,48.724964642995566,45.70605127603971,41.434031058645175,40.67868130273674,38.475877213610474,36.47679899416787,38.509650311399476,39.44808141919282,43.54096951016787,41.547932782730314,40.138011093992134,43.1466235506231,40.39326261895781,37.98031209248075,36.368951768484195,36.51006294555073,32.544287485575,33.93766557621597,30.585158006960004,34.29864999871219,30.403315814388794,31.098579400133975,34.266850948092326,33.70540382109138,36.40198847479269,37.23689019405988,39.43357152217137,40.88145198225467,42.166572108039034,41.84406669698013,45.89484501563045,48.03907217000793,46.1045554055809,48.917433048897294,50.9020080822607,48.64961087327171,44.90252981033915,45.144803790286645,42.8288064824685,45.91309623572235,46.05711130275478,45.89187648249639,46.06875764846144,43.20618121785192,48.532273806428805,49.11530668488743,50.56030370164882,50.23398166062909,46.63904280756033,51.76026816605854,54.44947016498972,51.80624810731901,54.848830854719225,54.14264590930819,57.870407693217366,58.04203046254039,57.31918144957337,56.1858046584343,55.39959069538092,54.22072756179422,52.58831276941923,52.82440049630753,52.96888526507386,48.29050848342133,48.935851598190055,46.016860893676615,43.91338453315237,45.757418931190394,43.12363286288606,40.04935133475399,41.29967552496512,42.43001081323649,37.82015292290127,36.31959273604401,39.272700717948354,38.88291267975266,33.44255114227204,34.58832209848115,36.08552216933063,32.19764321287641,30.13466288583608,33.666530669058695,35.2406331724362,38.633000066584074,41.45442396638572,41.793798234359635,43.6927665173816,48.67537165462832,51.26524561187989,53.94940273372018,54.19053039611159,53.78179802966373,56.234690509573596,54.004629294819935,58.58621458447702,57.671995580006296,52.03228150791327,54.792289355419214,58.663321017908274,54.85094932833486,52.888786694428966,56.530799413977896,56.931648350303185,52.66162532098162,52.14430315662363,48.302775309967295,49.83567440503713,52.294390277620785,50.24431618167222,51.380394819588155,52.42384653821384,49.68590878701742,47.303804631443015,47.57412448970171,46.65068103038481,42.786335349008596,42.205293877952236,42.11406441554343,39.20830731267295,37.59223302541018,41.60235612592274,40.012847081118146,35.277890520134264,38.247389786463245,41.90225875193535,42.58129586102896,45.96377724915637,46.07717388040195,50.1887997332822,48.098748052091445,43.71412876176364,48.146803875102684,49.5299806679734,46.35084593501214,46.36858997002263,52.107634501625135,50.473106313975656,46.06578438448274,49.34576189321876,53.490070337694014,51.000720911468335,47.59904809750426,42.902279151751664,46.43764474817417,42.091119806727974,41.71265550819132,36.94143057298245,37.015978851920806,32.40556346557277,32.70036837722688,35.49889572293021,38.97404753818842,39.83577353145978,40.9798627012914,37.43084452595153,40.449271940663714,36.28892689958761,34.07662992839048,36.648393930497356,37.442583508376615,35.674116952831184,32.584943280022536,32.40823958626328,31.845611065115044,29.06663429245195,26.848479801005787,28.620247816975265,27.39911357462503,25.98616484830044,26.535196649775443,27.344319763061858],[25.131199586260415,26.90791694923757,30.36823913687678,27.87430862861368,32.57563612545007,27.25219679283039,28.395081938851536,29.082657696012898,25.43766077665751,27.579639222472224,26.821943396365814,28.137430560343155,31.837468196972786,28.982829432281832,31.379535799734132,34.31753947023186,35.51773896763475,38.57703641420277,41.448339386721855,44.819847038162415,47.57108112148946,51.95321595807916,52.586290767462486,52.59249720500029,50.70319047703828,46.190719293042946,45.17457165101362,41.14963783103818,40.29569006196308,39.04657010221008,38.27682244085086,38.78848410946346,39.79105232053231,43.65646173668347,43.80524898275412,43.4618801378731,43.67322806151402,46.006002512714296,47.26070210175606,53.580931186556526,51.24380610375487,50.30035044322907,54.531423194830495,55.80412763020238,58.69794189539278,59.7345563388184,63.4969330682699,60.556174946006166,57.820468000933744,63.310198316099694,64.56147750830225,64.65837697331615,63.867832638880934,59.651455330520555,62.14646994897085,63.386769009546086,59.01079280271346,57.96858840024391,62.340200677537624,62.1077185162857,58.38713164300039,57.1784782943619,53.993555000957386,55.60272031048699,55.12141613081186,51.359159305143756,47.4730348220517,43.7760682140457,40.724672737239764,36.86988831872141,36.35592098998106,36.510451044222044,38.189626672007336,42.981454237863126,42.41005438978533,47.77811997783153,49.017427641645064,50.50284562099674,51.37480885153907,54.40339929644666,52.70225749722076,54.245138254418926,51.903444970543184,53.92622012897941,51.74089272460672,48.99774193993155,49.72150992836044,48.81571296186176,47.72904319525163,47.97734907438536,44.81878764228746,45.64355617023165,41.61311515283599,39.32844090901324,35.68238265476718,33.44273058050084,30.40419362196086,34.21195440450283,32.68907157119693,33.30520715286668,37.889278837833054,38.9154131652002,42.19648809332999,42.31812363645012,47.57534150168089,43.88413976107164,46.83692863681884,47.28733276776027,43.48610606877332,41.559204070222506,37.63656109421329,37.92031877173369,33.38679299428301,35.296860792880814,33.403190637353596,35.04964389883798,36.829959013415,38.63471988535893,40.577424645408094,37.3449225023591,34.78565329313247,32.16198249389296,32.59333913051579,31.57370763449633,30.021479723655137,34.752363239309325,33.68551827703248,37.87139030040736,40.76716257390671,44.624016861690386,45.90066842935712,49.70293165334161,51.000757256381746,50.23410812673292,47.68939204069997,43.43982872664275,43.12959642708424,40.96134460397323,39.1272862832027,40.878408329597434,42.17509714797879,46.053191548241,43.699735861611664,42.21519260422088,44.880120190587995,41.80909011605584,39.571716964878235,37.53600991776985,37.55546795249675,33.38622452189693,34.46963145299915,30.6129561302231,33.84505330173797,29.36036208790243,30.060143310290005,33.64021998068659,33.572657145729735,36.51523836234091,37.55122564590582,40.16382169703136,42.18928621417567,43.32154495145073,43.64624552198597,47.450794712074924,50.01762411337417,48.57347737820432,51.301118243809036,53.5984048512303,51.394141202357744,47.63150320326804,47.59973808816981,45.09672215714786,47.76122634847386,47.53126812382903,47.008984272524174,46.791732681020875,43.73935607688352,48.84834136099233,49.90789860761606,51.341069999567665,51.534816076963914,47.795955431173276,53.15146406217274,56.03976463400336,53.54138302290662,56.436373353244164,55.69411077532271,59.42146197643937,60.009808857186556,59.447920233734024,58.44068030471224,57.62858710048879,56.519521873241054,54.820021425199556,54.984654236354984,55.17132158310795,50.56657123994313,50.95806853500293,48.083596837703325,45.60304112979235,47.36156508037775,44.3620888810408,41.54993418802148,43.13151589042923,43.871328914665945,39.17500134934425,38.37479721108492,41.05917833931945,40.02497259286751,35.00392573392688,36.43341852163718,37.552142346551165,33.40820217703849,31.98239025146771,35.5393037282993,37.415090112997866,40.300824597752424,43.84937560306886,43.82840667585654,45.405499596551735,50.36132920488548,52.862843567694036,55.52974215238668,55.44238317582649,55.10068688804583,57.3918344981922,55.082612769408435,59.82408128216168,59.14775443018752,53.6187551235264,56.26725301118785,60.394357612689255,56.81247125715383,54.79454656274755,58.42694997221272,59.18949944131445,55.01573870657623,54.377088283355896,50.35891161851861,51.434800227319045,53.72322173567993,51.42634019131989,52.20569619441253,52.9106990443251,50.0952116869847,48.13785554917341,48.16662647812707,46.82961261407158,43.23053267849804,42.939240035020646,42.383671761254135,39.344315423645725,38.227487195363864,42.09880982711992,40.14142809445796,35.59062756705174,38.96843023122918,42.46758045479881,43.51027540472558,46.77387429322985,46.95518701115823,51.18707593790447,49.25253620349959,45.12377297592846,49.551754932099136,51.14197044008844,48.12451827088401,48.28594148802221,54.002942445155576,52.62483369079635,48.40196228233415,51.64653914915156,55.83964344965285,53.57823336079289,50.3008040788335,45.69265849887672,49.47874179929746,45.29121401711437,44.565561652419674,39.86788626212202,39.527396011708674,34.814400257827174,35.66160768625999,38.42683536614645,42.04996761936941,42.738050291948454,43.44714631874281,39.73683665188194,42.46664087095471,38.30514948902478,35.77975251060362,37.735107309328406,38.2578329735193,36.11699974881124,33.62335969024947,33.42233881192226,32.22135606959811,29.661369342329227,28.058223358005602,29.31542315343563,27.454865692900466,25.828982515325993,26.133761192154424,26.618761443554646],[28.6227340734075,29.97417318557909,33.032089976565175,29.780207652386085,34.15228435183469,29.06476141065642,29.55926030157009,30.414171512005904,26.243121591674072,27.49920925952762,26.443644950335738,28.282626565874672,31.50460289924081,28.048577903873507,30.248330613011184,33.44172537591697,34.405393982557314,36.992328767815444,39.37336218132661,43.076588316829096,45.44260971730173,49.95117099576715,50.26543739094519,50.25994348308107,48.74320371590429,44.22163772045626,43.6749792591036,39.847963095802946,39.12130915230051,38.31442807985623,36.93178979519903,38.244399462296826,39.1435272276491,42.59495472753384,42.90886938091893,42.28709574580503,43.080103524141,44.959309655039654,46.3276025092719,52.75287035579007,50.21339793364337,48.7622120425727,53.00377868224363,54.52745042377039,57.20556425646019,58.39018578603298,62.134063915391906,59.32440300083457,56.85834850597705,62.40427464728473,63.636516817712476,63.970853609494974,62.942441226401634,58.95851468380235,61.347084570856936,62.17839860826874,57.72084221726286,56.74192247716532,60.94037197661135,60.526649793875734,56.568438890190485,55.266705988549035,52.13977663046735,53.30428435392463,52.9738712914588,49.49200270573425,45.1612441005866,41.7281486909319,38.303839170435324,34.610629628219314,33.78030739097411,33.46657103543564,35.525011810247264,40.26954533586474,40.23167773940644,45.51445528135503,47.11853135182109,48.80336516925874,49.919744506558054,53.033609442553704,51.80403062056481,53.49409880590718,51.638955872024184,53.72740784584848,51.29692012949885,48.4662327008109,48.719350325114085,48.11371905546188,46.4045111815198,46.73725818080052,43.22235822859715,43.71091450207685,39.85936840817744,37.97504600861362,34.484698265277444,32.06686871721162,29.197334069730488,33.70682822288606,32.696597492539794,34.11237126148969,38.15305851529294,39.92590843426841,42.63357162060418,43.34990822564828,48.51346498684168,45.10791588240713,48.44180695789564,48.85147087939493,45.253264266783624,43.25706921980434,39.27594114521896,38.89064452610793,34.19701627383364,35.54163647427475,33.02286387607888,34.356607160096885,35.70233199837234,37.221857163186726,38.584389311636215,35.61401081278012,32.98752910787121,30.77549464468466,31.39919437590519,30.97604656942981,30.080746181616224,35.052092061923965,34.915314155076,38.85451456719405,42.04224980973309,45.743512956838,47.18471567899932,51.125017540658256,51.98764986770741,51.21348609864458,48.391304816418476,43.98663615597989,43.91419991368928,41.18408406711662,38.904355121361576,40.4051925303372,41.08467919330496,44.68743966973661,42.328105291390365,41.2521492833463,43.932549233894235,41.03985188728217,39.00537532994002,37.34859760314615,37.90394274318735,33.98843194830832,35.73786986813402,31.986079122306645,35.62607671354839,31.53934985862021,31.49801733525859,34.811592154094114,34.26862054736292,37.53243339406074,37.8993646875908,40.93643690030689,42.49880033658153,43.06093878693963,43.273240890652254,47.0023782474758,49.70694988628822,48.129375091667235,51.27033851923543,53.43698749999973,51.57971893166994,47.64547801927192,47.84243643491755,45.121386522168685,47.82240143829531,47.677794042687,47.09344715353487,47.13934949150662,43.78015773266604,49.06570042337884,49.874134469784984,51.639680982607,51.66078660745089,48.466214110717374,53.8051278488384,56.57762884443549,53.83085994868812,56.32540715108134,55.180249952506784,58.902102277287206,59.52209456445338,59.051890057308626,58.252702387873526,57.6201863575558,56.83862199051922,55.41876299056109,55.87874328261984,56.38627510200877,51.849524033853484,52.61959628795981,50.03239975065646,47.63117369490439,49.8456151108264,46.95120257760377,43.88166383401125,45.683249898730175,46.81795758184508,42.08378434949249,41.006941359983415,44.11898955358652,43.46020634650069,38.219822227914776,39.721634875024655,41.22004709673294,37.11571844240451,35.43610180556313,39.215782831265805,40.76336901151215,44.122105798284665,47.06637919413053,47.124926348815826,49.02637430818573,53.94660501185757,56.660201558980944,59.17402273316253,59.091101049182456,58.486703992559015,60.69675363057682,58.15457526625958,62.805202205317734,62.237443288557955,56.48842864385968,58.9532978890845,63.06502221344207,59.43994410580924,57.20782755013573,60.65325548832514,61.45882958849919,57.27715777558407,56.224458613558554,52.583894403508346,53.552101890056385,56.099652577980414,54.179083311404085,54.93705379502142,55.991008993102334,52.88500982515243,50.84829341245931,51.38274534709067,50.03318658202731,46.165156340475605,46.1355143563638,45.93288516184006,42.9024627473349,41.731138028452754,45.89305413089045,44.150613581162254,39.57208718417116,42.944433088839666,46.58005108801255,47.385601587997314,50.54732279763939,50.41620779001288,54.66825622258553,52.940418240583824,48.499860722769235,52.741950379376924,54.46941547177539,51.41663009561444,51.17186784210831,57.01711848895302,55.720540404604556,51.20759912515823,54.213984821743814,58.5984731183305,56.355734308282884,52.885564266394915,48.19876649985914,51.94740067345211,47.6475600002855,47.4181902158544,42.49457515077179,42.300792668448864,37.55111952551793,38.0362360742417,40.627981019422705,44.14616456666349,44.680633259763084,45.71943363982846,41.71768080609556,44.368186962116724,39.90534920906467,38.03444773584732,40.08702622653693,41.04667169511779,38.70217092973283,35.98867068717984,36.39403151191806,35.3964053150779,32.16869862797909,30.915204238383584,32.79141381930259,31.035831499792167,29.327090349392712,29.559539028673917,29.9856809986984],[28.55763891513348,30.05211482656158,32.95283085766161,30.424276698218883,34.365261274472175,28.607066314413828,29.03502423289311,29.020337886211983,24.986629461026897,26.723529511145568,25.201293371257904,26.19165480024245,30.267875684316984,27.45031879759422,28.97068263516609,32.005230746492856,33.75989228891252,36.369349009701274,39.420058821814216,42.72875482786614,45.40698840915331,49.8194001297694,50.5189190312992,50.90463866249409,49.09686356881126,44.618851730407144,43.720589500784556,39.77942660814682,38.43734176361719,37.03072352053182,35.35663720062091,36.185005008688314,36.614316773389135,40.29918776069806,40.95472566608426,40.918710593152134,41.45180978540074,44.13122741261734,45.768533218247875,52.03837117394381,49.99478686416296,48.5458436298541,52.60550486906547,54.27673681387056,57.278093503665765,58.69681149722144,62.25613414922165,59.08253636165928,56.78733659084934,62.37286690888659,63.256133574262236,63.26732353313666,62.188474088332775,57.96333151873672,60.08309634559263,61.24240709146728,56.93437402101401,55.52989322534859,59.75276705759348,59.86597045965962,55.94080885284231,54.29574495990451,50.92293831261141,52.55890998124556,52.4622703764371,48.76972887803095,44.83447245596503,41.045883558684096,38.179057072308744,34.10717962035134,33.817545223210466,33.639586196946794,34.99021973653385,39.86617514235015,39.198399968716366,44.171740427061266,45.867087721306596,47.03156975583137,48.29376096945929,51.620020637563336,50.13483768605777,52.13600704930066,49.93482202928844,52.348420341366364,50.3941309676086,47.25406179751907,47.60805780169302,46.364928196713215,45.06880756641098,44.732731547505864,41.503378069626386,41.85969339789075,37.873180240985576,35.658788766843394,32.430656402310944,29.7766337748457,27.245867309018987,31.150355168370957,30.09277385083882,30.839454882323725,35.498525281573805,37.23445693890753,40.38912560544907,41.226037815005945,46.77927460289533,43.558899970456324,46.81383723344181,47.679398009747025,44.21378658935909,41.81743416693543,38.175021371149995,38.01491256284047,33.40182114519888,35.29713366431056,32.799986603474714,34.7436235893832,35.962566754317564,38.114212594212745,39.29007832271175,35.74643776167849,33.5408989668538,31.147047116682835,32.40411596984498,31.6115502421969,30.331077568909304,35.35096129255108,34.592426078907394,38.56913181052506,41.56184405661178,44.96102400158326,46.89645636210726,50.51844968424701,51.69367858832625,50.4299100200296,48.229795656158466,43.920563318248206,44.332689937328084,41.79198371978077,39.85987400226646,41.08525275479094,42.41649301023531,45.8363986248127,43.073789452887375,41.75555322733891,44.00579087933313,40.71962856252782,38.83470290438381,36.60415161910268,36.86943356328703,32.73129458870891,33.99421790813461,29.759089664724357,32.79481464273586,28.164800233713894,28.186409481068004,31.895834061072513,31.954525212027647,35.36214642168873,36.079906791617816,39.425708890261035,41.709290746429545,42.257754074246186,43.229128870965894,46.66834369552668,49.790993813347214,48.84848201397991,51.73976374663762,54.31399315845076,52.43574556372826,48.55216867498266,48.351031906417305,45.48420142710319,47.66077557081047,47.06818803446063,46.10920840719566,45.65739035916265,42.20941918981884,47.172622120833694,48.54927324607885,50.19759108956905,50.83237189607423,47.369507122529676,52.934971212360836,55.94199516752884,53.43620153177515,55.855012139059234,54.802766762079976,58.504796767287864,59.592218094248565,59.27939718677726,58.57259186628924,57.860549265945195,57.08294661305123,55.528425266850064,55.84342907838056,56.351660888456955,51.923322601180374,52.34080552301679,49.80887835005117,46.96816305646624,49.06382703625246,45.76674391035342,43.0250746028288,45.21425770786153,45.90303236714093,41.1081969098043,40.86510170949308,43.67176423032259,42.30690266301706,37.58892388395406,39.449533126064395,40.56678903529357,36.208611693361064,35.275702763894955,39.14506279255208,40.95452385939962,43.783862239018966,47.47551645875974,47.04269785717875,48.607951320906125,53.44150967237569,56.12462807724488,58.52297058952078,58.007778658077825,57.41806691168861,59.40019449882613,56.74098311256816,61.54412385414746,61.284872777062425,55.67217989793237,57.96967114568483,62.37344713724584,59.05335156910454,56.74610149194736,60.157022180765416,61.42122910620186,57.381558948562116,56.174898337900046,52.32903256401196,52.73663249787961,55.065419033701374,52.88155989254021,53.224882820685316,53.91940131058398,50.731626022391374,49.17555855104674,49.47855678603682,47.68640095927153,44.11776507770826,44.435967308123615,43.77905884145047,40.64157045536176,40.0247277512151,44.05302052645365,41.986908095953375,37.6694183677122,41.46485061697333,44.92905972232224,46.067779689169136,49.021017148522894,48.88886019017113,53.254292751548725,51.786280922706155,47.61014020736882,51.77405102148922,53.78085002584062,50.949704807056385,50.8065499011142,56.61192538051243,55.68791452350768,51.38506232643682,54.28899607269707,58.750047835713595,56.846945277599126,53.52793796687442,48.976026558693505,53.08203229692975,49.02549401470271,48.39447786740115,43.538000812524075,42.77274337123727,37.91928946011949,39.10785521641529,41.60460164942302,45.30116371156723,45.573774948235844,46.037039174118696,41.853724638607744,44.12895683129331,39.7276458832857,37.480438241129235,38.798370156379804,39.454834386462345,36.728047429074415,34.70352613086873,35.108103537707166,33.44455261211394,30.46840904184036,29.94121276241175,31.298048148149817,28.90830688296107,27.010164638119985,26.98549812180555,27.090258108390618],[34.17085831849712,35.377142427643605,37.92215173421732,34.88340717468856,38.39918105267908,32.79101336328984,32.54859159086486,32.44089068717845,27.980127660958406,28.792903655548443,26.735991988193227,27.982531910194606,31.70931586679545,28.45466006695462,29.294619510427573,32.5414215828358,34.327121305371016,36.20191196702185,38.81124977547051,42.36961880955123,44.59173930205374,49.10137070185176,49.504837643982356,50.06541507558507,48.69249226381703,44.273219738193866,43.90139072299382,40.243861810227784,38.8069094610104,37.75103378549715,35.029003277734994,36.77027009640162,36.75031303764939,39.87934070705981,40.99733221100185,40.883123438641725,42.11651977050204,44.527792316793786,46.43608493763139,52.71128493229886,50.63906012753949,48.48815524510804,52.431870385774616,54.52177682421407,57.3447309846966,59.06529374447339,62.492138382676885,59.358759644958084,57.53135709655249,63.17099128898995,63.86864545969527,64.0509773238828,62.62831415505603,58.63949591396581,60.459562926745406,61.19300160894052,56.87443611013572,55.34939646774625,59.2944085211118,59.42227764262358,55.18468886330243,53.21128300258404,49.8095298013685,51.00035366125723,51.28641877856908,47.94751002963634,43.57380074903612,40.04850567608251,36.94629562615545,32.982659221272364,32.499183043542324,31.59947701486283,33.13315763033039,37.94469693083419,37.79193111562797,42.352680960273666,44.70606650872713,45.84746246623334,47.58537393909364,51.14079315480263,50.23098026477536,52.594997885444066,50.91813816143608,53.55744717494562,51.51874600923523,48.14490201883917,47.88263074452278,46.74423656758267,44.77119129101831,44.16261972931388,40.58458870285768,40.27791318542004,36.55497620418192,34.820834663172334,32.09322662220887,29.040602541946768,27.095563914263217,31.604294100938134,31.30036759002743,32.74889457417215,36.90843584838892,39.5749860861687,42.161497533939695,43.795698698452505,49.33699601385681,46.5672881222115,50.19180402070303,51.170834252575034,48.0003155130501,45.41965897875911,41.8692818673088,41.05228767237175,36.358921240918804,37.75851730893484,34.555834686694986,36.29970637788011,36.87739034236676,38.866578260965376,39.130997787955465,35.76146831841356,33.703212648355546,31.863463399746646,33.60072871667143,33.441038989426204,32.839132542913624,38.053115396082504,38.134856233628746,41.80763351143778,45.023817897213014,48.11824160252296,50.37776221431047,54.02242620686397,54.80827422043019,53.37657189570993,51.09213466204115,46.67839767580023,47.50138944584467,44.41423082347942,42.09751440567129,42.91728177191964,43.685872595645506,46.63996163212345,43.74743866710709,42.89386473793717,44.95844280820291,41.78703730462123,40.26223920042184,38.318153905580104,39.13136601162223,35.288904033708164,37.11707445990456,32.90038436805017,36.07966081330987,31.770531570711682,30.959516901774045,34.43655247788465,34.18846615609657,37.98850091419976,38.01501370818246,41.96954048361333,43.94905243315994,43.76453228925015,44.89276508744684,48.07674744730097,51.51030822523349,50.64145726316701,53.924246579613936,56.45561830589846,54.992635145364495,50.957188134505344,50.90007884444449,47.75692756628807,49.76928359826606,49.1158115903732,47.93430283326708,47.604114032551095,43.76123670794804,48.73940128757495,50.042605789270844,52.05190333725723,52.72794108787292,49.86112277529023,55.44525667099977,58.38045680635057,55.68441107161383,57.555915969694546,56.02945284070583,59.68833794722033,61.006125818589446,60.87055898781787,60.46281434956398,59.95297131881428,59.571426298850035,58.30729735275687,58.909863995029134,59.770690122540636,55.473203559518524,56.188963012363025,53.98238583723044,51.118158263641,53.621120247771394,50.33169582994012,47.45045378713397,49.93481482499781,50.87500781498946,46.05673517315579,45.751358056973096,48.856496101399905,47.663431455794054,42.892468832518716,44.86474892989776,46.208809685050355,41.84950407249366,40.83906572736991,44.86967442643927,46.4734947163294,49.57675612816636,52.9151273323488,52.4781168662611,54.2397705917743,59.02471138806399,61.857691187818126,64.1165426276241,63.51283105794106,62.703422502973574,64.54718240039834,61.64705586897755,66.39200501955781,66.32373255250683,60.55976100701635,62.62687352126028,67.08210759547403,63.811621775349685,61.286142705346236,64.49004762929604,65.91452539892353,61.91233183681678,60.26132888820966,56.75598596509237,56.89758541293973,59.412325982948,57.53328209002136,57.721947448841064,58.63544088380964,55.14942203679733,53.68846049585004,54.402301278895195,52.46222139599007,48.76260089349456,49.432083343952236,48.95935597507332,45.818071310358555,45.31562800277687,49.52891240511783,47.55555449480944,43.30534109760912,47.17859353092497,50.695618154172415,51.72758532109079,54.54249831634568,54.147508194246086,58.544489920367525,57.319823610891746,52.957045625759555,56.928478150351886,59.1143654497664,56.306446260096294,55.83351413865087,61.729106708975614,60.952935009868305,56.44865162914979,59.11207951667542,63.75072967871955,61.92905044146044,58.47303620675961,53.88289786043326,57.99621252972376,53.879013174073215,53.61009873044571,48.587840058014336,47.875878104338305,42.9924194209523,43.96639849527357,46.29772565416742,49.91485230776065,50.00825592111164,50.66595650742758,46.19429241900164,48.286348843726934,43.63476182654047,41.953152886298625,43.15666714321255,44.1408729142613,41.12807489661869,39.11954189788893,40.080413140115965,38.4404382365325,34.95987836640381,34.9329096514719,36.6777701330151,34.25053027364728,32.258939377796985,32.093825242374436,32.02506797550293],[33.00182411714881,34.076942324309655,36.27045814480395,33.577582983139095,36.58146899296146,30.6652745813225,30.1980987070431,29.526025913897193,25.156168496846885,26.11634548021383,23.75115651642251,24.468556147620767,28.62878276797296,25.837427185257877,26.21111005460284,29.308881449377726,31.58524981392049,33.496230225066846,36.58869200517648,39.81483793796408,42.29304635800531,46.69465867631406,47.40759416209087,48.21714547930193,46.58503721717531,42.22065217249619,41.555522644887404,37.833686269037536,35.999733868510226,34.55827132127374,31.73878028224774,33.12819293967949,32.87498952625688,36.16430511261524,37.418280669917294,37.652886635897204,38.685596976325776,41.582144071092856,43.63990470015311,49.77962727596886,48.0422805381472,45.9512162971575,49.765442558144,51.90643717214107,54.94839620709936,56.801088670917636,60.09538129867602,56.72596328075005,54.99533805585841,60.63708677639202,61.11098654346413,61.08182881220046,59.652246166551706,55.511645347167835,57.18148606615056,58.14302206533204,53.93083620607931,52.16411290991053,56.145054766107386,56.59177630684588,52.43224359444548,50.30356007588962,46.76978106566663,48.33230946703335,48.69138420456677,45.173182543075974,41.15588917572599,37.372453482895665,34.7149365458246,30.511876154248494,30.4506422752436,29.81618183300633,30.779814647414955,35.653444769010555,34.97599231241754,39.41220503438486,41.673098104684485,42.51357066841387,44.24994022930043,47.884874745708274,46.771067897598584,49.281453659447315,47.39379547232733,50.20689554850446,48.46577144294483,44.92204312639858,44.748040530073816,43.232846920086956,41.564865773877415,40.60822160736109,37.25349359096379,36.99779951219983,33.15824308367618,31.16803037199267,28.5411384097595,25.417359995933175,23.637649907156675,27.73022138279465,27.411113130509648,28.57489800596104,32.95676838896003,35.66477465904961,38.40660049673618,40.171582925956685,45.88628815857903,43.30466536583586,46.92608056961066,48.18467491570283,45.18636793992195,42.34707023882747,39.05614912589498,38.25024689641987,33.65481665215173,35.32385024402632,32.11738343897468,34.251455896264154,34.72170806621087,37.14920475066435,37.329979276792876,33.5677879896927,31.831703339882697,29.864302360621487,32.03510734579664,31.630262140578015,30.828354541933287,36.018757033786954,35.829687278925476,39.41455357969112,42.5130462325804,45.32805387128649,47.949612351734565,51.366979527556786,52.27725619926647,50.51448993561907,48.634700874609116,44.305549029569626,45.520541420840324,42.516156701292786,40.434888120823196,41.015304823344444,42.24360969541785,45.03917222323191,41.87489757040437,40.845246423845026,42.59023700922917,39.17675560061515,37.7728375233846,35.48160041789252,36.14507327331284,32.2490437879059,33.85933825015131,29.43947059425359,32.307996315251046,27.90974035521812,26.92287204459027,30.494802823613284,30.509066242256882,34.39877823898843,34.53971477050388,38.69954230874692,41.06708066942867,40.82888367622942,42.45434411393477,45.41142480876807,49.112896603494335,48.701239631010594,51.80828377534977,54.61604761009608,53.185308542645615,49.19715521154068,48.86697106393487,45.616851858058816,47.23994334127189,46.29237691633109,44.86891392770056,44.25003005666629,40.359371369300156,45.1273479215816,46.74507728322631,48.69047406550641,49.73436207685627,46.769354042636095,52.46083268192768,55.51956988396085,52.97524779546106,54.75554993976824,53.28757146526472,56.9186297496989,58.53730214878129,58.51793510502722,58.18660716992112,57.63452622539818,57.292689579648204,55.97671815152209,56.5192975758807,57.43905515474515,53.26789348801187,53.810173905984755,51.74495181068046,48.60985653110766,51.15394395424022,47.65095705505165,44.94226475598436,47.76009384858015,48.519993793116825,43.70007045132481,43.90851279402568,46.924108796226335,45.400640830300844,40.97462685066736,43.23203177906975,44.465791687803375,39.99995745332883,39.446701255632455,43.62545994558251,45.23623123013578,48.14396872618952,51.72548193736762,50.91611615049753,52.569331230304705,57.22346304165887,60.1502891831566,62.20137304728159,61.268414714481196,60.336538867866636,61.96531614311647,58.899936238223106,63.68118225266335,63.87916277397238,58.159350778128335,60.019066224440486,64.6518939174502,61.612344980258094,58.96759044459931,62.06276001036806,63.838161956773135,59.9686694003698,58.076049527275465,54.560552555263165,54.256924040176656,56.682088841094576,54.76857959463568,54.671646163204535,55.484874007815996,51.86431778607186,50.68985956459213,51.45032103044619,49.248928807047974,45.66076232891533,46.65663636191724,46.06357924437985,42.90173661670789,42.73500115516498,46.959125689464365,44.92858072527858,40.89178762214305,44.993624851745196,48.43639748854761,49.54281845567204,52.12100398106266,51.56270243081832,56.00966457967615,55.09155704873012,50.79782634433653,54.585255635851524,57.02888141108084,54.397549941357376,53.81609284694605,59.693039264047236,59.25882434454668,54.82352367320787,57.2813946168336,62.032245947431484,60.51592272589185,57.12585042126745,52.65400176682513,57.03807528343026,53.12439210151799,52.72884282543308,47.70003465935051,46.565172213132335,41.64177411192368,43.04393114961891,45.19050292348954,48.882073657417166,48.692611648580495,48.98933451458379,44.32354507959531,46.080027079868636,41.44460631801744,39.714662822595,40.411462504403836,41.335552478631534,38.04370321365207,36.449025081941954,37.62689417943614,35.66089804552121,32.14945704648217,32.76095590420528,34.38979971652612,31.66659771615674,29.58440257927409,29.246586040607145,28.996006175017325],[37.24221806474553,38.27819193971341,40.253240099870624,37.727410065483916,40.32201370565161,34.29910834787002,33.52042819262475,32.36626858708742,28.051840682410642,28.75288040652711,25.940859616191027,26.209718189949985,30.515791200432233,27.999124591028814,27.49293675163829,30.472156769626285,33.20803936090674,34.61171644449987,37.772256074156424,40.81581688998021,43.154782405904626,47.47059149415978,48.23372691781241,49.38499587895315,47.867105675541154,43.64913124232517,43.09921254409287,39.5634292586252,37.334371066012174,35.7551361928329,32.132540795876245,33.732064002626295,32.81426327020865,35.80347073315997,37.6125186515052,38.217373798201045,39.49535178390933,42.69987175630817,45.054966879895986,50.991438180161786,49.5773893059699,47.098905615500804,50.661910266502964,53.122850445280235,56.21888884148342,58.37226347273817,61.43766950744393,57.90379678114661,56.57970847073715,62.211936423520854,62.35381265730497,62.22438100979063,60.56841577227026,56.46080224513424,57.74355453592483,58.64908726314383,54.582684675463206,52.471452156641384,56.2394051045181,57.05079476809163,52.76499798970285,50.21146214886949,46.53498867466176,48.110097734285354,48.88313904083655,45.51156901109526,41.558794836150376,37.7928313017524,35.44059900325163,31.192635675862704,31.37934058585449,30.382676577313255,30.925281529572654,35.693266765296045,34.92691440684256,38.726218463693876,41.472355334710684,41.88689314531726,44.03368960943082,47.91751958440078,47.018970551253204,49.93990336356284,48.176578101261846,51.303457021912294,49.84979761696628,46.023728695285314,45.53531392406134,43.67189784510053,41.88869962109749,40.26942323112052,36.96557317937016,36.13208852168631,32.47377830218182,30.6256479538687,28.67779625575379,25.20257469085472,24.236374542580144,28.064485422369373,28.24523124744972,29.308992415392904,33.669786170290784,36.86015362217989,39.49129233413309,41.775478589291815,47.620167506767466,45.4562704887531,49.16178957508555,50.73339395704138,48.00963021534412,44.89858516570491,41.91809729381946,40.925410383112784,36.45608278151246,38.1257647060705,34.654986445766454,36.95040492475857,36.98896224169111,39.611333094172544,39.16724719978609,35.27553663608604,33.931965756059675,32.24554177102635,34.93115408288964,34.675959462795156,34.04146457081267,39.207109752920175,39.109967297854375,42.48822776516241,45.53179206155464,47.975261735200604,50.99339163506802,54.20061247091614,55.075592176327284,52.969829968234855,51.426029076740036,47.16337504456084,48.81626336713176,45.69020641264848,43.62994435319026,43.85417879332018,45.10305681813157,47.50560705351129,44.10756610039689,43.221504510593086,44.58029933259238,41.072917199928355,39.996730449254635,37.588997544869606,38.36609264443284,34.61844130187687,36.18854631542976,31.63558431146007,34.077247998416986,29.66404451529037,28.268665314899135,31.828633806366906,32.077942040172644,36.16136672491466,36.12331456583228,40.71915694750258,43.30197599726503,42.645625023438036,44.77764833865311,47.36609771366859,51.4257374022735,51.41240341075707,54.5491114904031,57.51991503594826,56.30663344262409,52.315445004447255,51.85616165610927,48.43508056095333,49.654085333273564,48.42713669601342,46.67499430999016,45.82323559458073,41.72148674716541,46.18326436560548,48.10543704769858,50.15611682699371,51.594814712203785,48.849042137504114,54.60142636319588,57.72131299335354,55.247050112127454,56.65353294305134,54.9884434258097,58.53572242485721,60.54624196619508,60.722425554729014,60.61257910952196,60.12559407880992,60.00390236678789,58.78010804815296,59.38630525582636,60.475912139727754,56.47158986634773,56.963814227588024,55.104301694794074,51.76456960460233,54.39968282180671,50.72680072050052,48.17425868368113,51.284613971532956,51.909630259138666,47.11668615886081,47.71250037545964,50.657844236162674,48.86196722023591,44.74428745697852,47.17699171072146,48.29058249009274,43.76569391909221,43.53597961662215,47.74586354385068,49.39528959452774,52.11992972501373,55.89954455489646,54.874064065392396,56.41857906361364,60.974491620654454,63.91389680253353,65.84515276419063,64.65505143684685,63.6501869257985,65.07884666060036,61.867565342492824,66.66609143734736,67.12229661583882,61.46001474391438,63.106177015438874,67.8853693993483,65.05666564083535,62.29628649769253,65.25017013991861,67.33095582957245,63.58003585299477,61.4212721939008,57.98869454777221,57.26207157036938,59.62696199859242,57.729123525213055,57.31849446997576,58.01011856300267,54.24069683827739,53.418571373647836,54.22444244398713,51.717279406750166,48.3074127160588,49.6512837258976,48.88274632884401,45.71036630782468,45.91413169237217,50.06800969715728,47.91661169894886,44.12317671820263,48.41616720415814,51.73595932674411,52.97417837973523,55.357085297143506,54.69964915064643,59.17387641063829,58.50485959091082,54.32514901583412,57.95318526974715,60.59420448552124,58.10850861810477,57.4536194519879,63.29604839631578,63.11098452112493,58.73354760438522,61.02448308995157,65.85169273837715,64.5401835575104,61.19064298861775,56.79734503535856,61.31010819268531,57.49908758490068,57.063545556337814,52.04325391152348,50.69794645469356,45.77241396437017,47.37461539801314,49.40493580167617,53.10890847402833,52.738259299447606,52.847266772202836,48.03090500006758,49.49640877216594,44.851088081561066,43.213614178594796,43.45910143466409,44.34563334825867,40.77211429189829,39.612629919704446,41.00255134562069,38.73026529230681,35.23871499710982,36.41495700491275,37.888428054539766,34.896658640699336,32.74504940018707,32.21567095794998,31.7063278204032],[35.63529146079012,36.33834609876898,37.93069595876823,35.14495961491157,37.357315006918476,31.493592424692626,30.350923393772653,29.233553976199772,24.768537298623784,25.062338636416197,22.14965531207477,22.64955206494111,26.668410711419455,24.015542612335857,23.45648650054759,26.502300514502835,29.127969237630694,30.475836802690228,33.5973863717745,36.67091198774779,39.00995555625306,43.34120808700556,44.10274992725568,45.23030944347335,43.691799805524326,39.47009140955463,38.94000234729136,35.43157827663474,33.24148678508975,31.793947966939587,28.175261129667014,29.97656627282575,29.248594761424375,32.18367432147292,33.83332424193937,34.24800790452563,35.636419961638985,38.64467714174293,40.984475624092305,46.9553645217142,45.470747304868446,42.95491133801452,46.54981234258263,49.00021475124035,52.06480501489244,54.21461368806795,57.28882573158704,53.78899067781621,52.47174852828857,58.10913997296696,58.27999655490129,58.218023992122596,56.55217804029104,52.498743339691664,53.84423330021704,54.66546434690508,50.55065178114293,48.54384617974754,52.338064078020786,53.01742996136989,48.73695998517876,46.294981628117455,42.67195864163746,44.21072315692172,44.86783612498788,41.474929492973246,37.486973077549266,33.71883079476314,31.312387749187657,27.06055497901394,27.23994304835633,26.35677047296822,26.908429492923872,31.71702366363731,30.96079672597989,34.990045335751546,37.58729311418052,38.20139213362188,40.232688302436685,44.04657817601297,43.19910189295041,46.038936728852896,44.408900697170104,47.4716254704952,45.8933367407162,42.098349723565164,41.54423241333347,39.86166586342179,37.9417119736444,36.575426281591525,33.16237081299485,32.51008363645309,28.79965724765718,26.997737435978987,24.847432712467615,21.445698894956887,20.301706990854754,24.45957668411684,24.749907018440652,26.331752438450156,30.2707682628647,33.700102716793914,36.00505803307973,38.45357981030766,44.16940156093411,42.107066125386446,45.97475104537907,47.48519382094616,44.88694018146536,41.77442036793969,38.79174183518245,37.48071645069874,33.00510322544617,34.44756562056279,30.789561464087566,33.032860921742916,32.928494471400946,35.55599218243236,35.00974085039998,31.112535886926445,29.810749859147833,28.198745066713276,31.027221786176028,30.887257248909187,30.451079531642915,35.62085841422018,35.87396138679691,39.07623104128689,42.205824289991405,44.53331816577894,47.633566812095914,50.86183961504989,51.5430770439048,49.43253697501229,47.80483776976631,43.52233904692769,45.33520908398102,42.03256788326461,39.89713565668619,39.97070532884644,41.15689162457389,43.4395200999246,40.001868501963806,39.176359830975144,40.49501705948627,37.03013677007126,36.01655482343403,33.72137009535548,34.68167614775902,31.083129955720956,32.96020481896805,28.57542441974962,31.31915790739552,27.367452496311213,25.5678862785094,28.827309907940872,28.71563993689421,32.87271126214146,32.51946400853201,37.20682514913263,39.56199792519223,38.73041332950529,40.827517544431,43.37425761492721,47.46410641177563,47.477217326860966,50.69193817867476,53.65928979489277,52.576747453290444,48.562720170531726,48.124363696021355,44.62886200292353,45.802421299222495,44.60148994505198,42.85403361520324,42.138758416477806,37.972499220014505,42.549752655649954,44.2940487811921,46.44637921581579,47.761722855126244,45.22139952507687,50.93154493024947,53.990936104654736,51.438243471148674,52.72489059704416,50.967891989408244,54.51429369688654,56.51658264062033,56.71594279725283,56.66623387618388,56.23113859992366,56.21903642262679,55.09503010068965,55.80713866997301,57.03777080549767,53.10653862417511,53.7527553566156,52.077490682502486,48.7707350017977,51.65662198447364,48.066645631480895,45.38798717895894,48.64731337457721,49.49902610009011,44.72502999318229,45.228129344964344,48.40227410802166,46.84562353573989,42.65835254772212,45.183094251907136,46.54439506755862,42.072472268229355,41.763453731234456,46.15276729443953,47.550782922488,50.55330736017517,53.935667669597066,52.84712357610881,54.598620801471476,59.07132748598666,62.20637698250782,63.94729498957227,62.71409906921717,61.48701218852697,62.83545910253235,59.464196428280246,64.17149344691201,64.71324820469513,58.928046122995795,60.428039953649986,65.18722869099177,62.374144777676946,59.477475263003846,62.293413353159785,64.44364164913537,60.73410178384734,58.309896750939735,55.10353102416079,54.26947978062363,56.769248238590045,55.12466992012644,54.72222468945456,55.686172560018804,51.75418413420373,50.83013851701098,52.00104120820654,49.56195389812192,45.94320436516133,47.43329104502325,46.98546455902195,43.86420401159055,43.9752256837487,48.343021098245096,46.43629101377233,42.634158232282026,46.87347143792873,50.299641893677105,51.30246996204187,53.56581384216743,52.64327882779164,57.10403989352556,56.62887465085716,52.23088268337861,55.67407057294298,58.43603685297874,55.97156906646162,55.01400436844548,60.90715007157949,60.85991469334369,56.33100212683187,58.40247433154858,63.354664887071884,62.15686346944414,58.72528037982294,54.35416057259609,58.92656869221791,55.16376341222863,54.97617295088561,49.846636014766226,48.43408729758728,43.52092377350965,45.060333899669665,46.8948549998339,50.53690185296455,49.977027740282885,50.14826718572263,45.161979331695505,46.49591566712068,41.74512849594024,40.475077033698334,40.72430881021584,41.887558631429805,38.24687338109954,36.942847790366564,38.72432554884304,36.643791318552296,32.74087996070344,34.1669826803978,36.04961880249344,33.21455108330233,31.071061925713792,30.544475335756104,30.106773634348944],[35.04663217849352,35.465204593393096,36.82359856188658,33.573137588269816,35.622106885698926,30.095076266405066,28.657180194755746,27.897569897689404,23.20879673546666,22.91849417580061,20.06769658680877,21.197894690866175,24.57764438328156,21.444240411247883,21.11144519604315,24.33815720068118,26.517463601286746,27.746468226181083,30.51061247809309,33.83769262875931,36.0044363857784,40.4277295200451,40.99532883975598,41.971776226509064,40.57758029369779,36.312838914145885,36.00203023432418,32.56888839178422,30.653323937967194,29.60957598656668,26.025083842461427,28.308596327085024,27.931630903384963,30.65951742470527,32.05701936302824,32.039528357630836,33.700266148440285,36.18457496072307,38.43407910490795,44.51961466748162,42.768547426721625,40.13738836222201,43.83692723459064,46.27115260582173,49.17342716027476,51.26847573270663,54.41855663620277,51.081843361027204,49.74572325764404,55.393495748213816,55.70495575694188,55.836392310514135,54.14702741888981,50.24765980399363,51.72787965155801,52.310179453884615,48.08645470770206,46.321276175425254,50.10528695857485,50.467824114634865,46.131372731876034,43.87913887978013,40.392442469988914,41.651447780893214,42.16201919229894,38.868459021817024,34.604344615719924,31.00193123869618,28.239563614037262,24.126329406185505,24.01157890047175,23.049000138417615,23.996532614689396,28.819602922882513,28.435681022271755,32.771110299218456,35.28879528225847,36.29947575033072,38.22432166449654,41.91715504185035,41.27481372543256,43.95474768514505,42.61498389265194,45.51522446817097,43.63421790261873,39.96267884565847,39.25681467858358,38.0014848965534,35.72255846197866,34.83532992172026,31.164836636900407,30.651544582187636,26.995125706874216,25.45202934157058,23.042240913637496,19.80490298412591,18.351281483288194,23.160070736871354,23.594380987427368,25.915129971275864,29.213114439634946,32.87049465348842,34.70790378931136,37.270481158139475,42.73628325563026,40.697041494865154,44.74215407890544,46.04201477610209,43.49685633707178,40.51862506438582,37.40007627909674,35.72088947632692,31.182040686981836,32.20144181121893,28.29777788891794,30.2518044764587,30.013176795313804,32.39658587292636,31.725119051474895,28.044306056569482,26.598420213586838,25.1713013909634,27.95803652966314,28.124098166951594,28.05890739554348,33.26650886203358,34.08692528651911,37.134496494973035,40.429074647603855,42.77041066805994,45.77725220454298,49.14771927345447,49.543008657690955,47.596223783842035,45.66011268579409,41.304028471645466,43.100465410740505,39.53323420151021,37.16552338498694,37.18167092111565,38.02138839783935,40.236413264523755,36.88567341135454,36.24943608602182,37.697103610244284,34.41812876032214,33.42087932950549,31.465605904040427,32.73831764283195,29.350458526161173,31.70165546225314,27.632974625160255,30.865314875313405,27.46893080038444,25.37267165042106,28.225706197392547,27.56029601072857,31.729672222690553,30.94827717541671,35.62190612336056,37.49426521249137,36.4705265474636,38.25448054062528,40.87299656918647,44.866394519466766,44.66569217264879,48.08312680222458,50.90346480333697,49.964019152978565,45.88687356642444,45.62160879895275,42.0848988811649,43.41345485495581,42.39879640579157,40.78271421954061,40.38392580316973,36.1690873239114,40.979433854243815,42.348150485454624,44.65673499980559,45.63714017081672,43.397803152090816,49.00170903242644,51.926414764833844,49.20073970038383,50.38296388618337,48.47241392023764,52.03162270275073,53.87430235026999,54.04669383559767,54.03388649743361,53.6918981997644,53.791383092217956,52.812371800056845,53.682236069077824,55.046009933896315,51.132769590110236,52.041278447886924,50.49964122101383,47.36562402711204,50.50250966929566,47.10924803861574,44.20987446390045,47.46150084700755,48.64309087559397,43.89223565404414,44.04116014447189,47.50212977601476,46.35527223764903,41.930082089751295,44.410864408140306,46.07977382684472,41.71586028809893,41.106672815595445,45.60674932192745,46.74207229894419,50.12096889044529,52.97832254241887,52.004222451774694,54.020243123760935,58.46907672973868,61.75632440849643,63.402431303723354,62.28217960324086,60.88805263527051,62.255781254165896,58.80090114075543,63.392983224531854,63.896390248002334,57.96334010307997,59.40955672851761,64.05994073390772,61.15112822270874,58.167707065729935,60.88817365588657,62.94002728765816,59.20894882519579,56.614273167500684,53.66022033740721,52.930226484512616,55.62021648267624,54.26220285823447,54.00793979294323,55.30042987195493,51.2718665763188,50.10270050018633,51.62739527903059,49.387351089631274,45.5065628082725,46.98513409466408,46.92189522374342,43.866292704644636,43.72071709100387,48.29395244004978,46.658904000779984,42.75126274894474,46.82429112918944,50.38788595849846,51.12063404957978,53.375204238359565,52.26340000058539,56.68286481207488,56.25860272785627,51.606878391449335,54.946631970462334,57.708297911418086,55.18088619371094,53.95996553081611,59.915127789402156,59.84630752375437,55.12403522475221,57.062947442085914,62.09455558503931,60.867027789611114,57.31508416743469,52.908361438634586,57.41153886495727,53.598471552450455,53.73897764672334,48.49607059498103,47.219388173523946,42.33855139913989,43.59913721140421,45.312582696583824,48.851222657110185,48.22465045043681,48.64594637550638,43.569430478070416,44.92928580743168,40.04967480321859,39.21235137607633,39.724916783037116,41.211543923741466,37.6486753203699,35.97923842579576,38.06392242977793,36.34947438359433,32.04089470187154,33.40157690283535,35.76560128121862,33.240911105115984,31.154325126750553,30.71815085556328,30.432858439565397],[31.378410707389868,31.516045399988098,32.55230895971607,29.23655326123785,31.004178298790166,25.563665179096276,23.963562632569246,23.290538063997268,18.542669301599968,18.193970353049604,15.46359913026045,16.869163792671365,20.127236677609364,16.947062664710582,17.112874765754,20.377471129089663,22.376973439805482,24.086130015816604,27.105195106047827,30.359388612764988,32.83147476361877,37.23949278733157,37.977015365362995,38.798993261691756,37.11186026092025,32.76487995434148,32.149389255723186,28.519851170629263,26.721255935000407,25.6222782238965,22.767126081816873,24.70155171944219,24.89841790048084,27.942744173527718,28.819679481812155,28.59659955532562,29.94565093336939,32.36091130007276,34.429860824023336,40.612220952302174,38.7665914893734,36.511316528630175,40.35342049763728,42.524774403328074,45.50690603084558,47.42078567548282,50.682184234127064,47.35259703970808,45.73171705844443,51.38482464701976,51.847782522434535,51.957931865562934,50.45609401353016,46.45984664582742,48.20247422811142,48.946354559183256,44.65657027609324,43.087047199065495,47.079952937796826,47.2765003069949,43.12520429356742,41.212076939643794,37.81158234415499,39.29594523018998,39.42250207080948,35.87822570815193,31.828833969986025,28.052244056546154,25.329563193357544,21.127571459993366,21.09271016152085,20.825178722568925,21.724990130254096,26.622615555747206,25.932358010154786,30.832173130812215,32.719570512936436,33.99236643831464,35.466155580489485,38.927564059428754,37.98299792479644,40.34620187137681,38.83362050098534,41.536098174747515,39.53834320937455,36.025420861725095,35.625734709222066,34.52785133815865,32.50604100037988,32.12010414629142,28.551408430161338,28.720413864792718,24.85395316050116,23.044607156588526,19.97476417373921,17.179422470046692,14.908329430042453,19.822795958458727,19.85663291644367,22.419012361140584,25.524307298191115,28.916511400513045,30.718255031666455,33.016639861089374,38.37776061353417,36.18420863459959,40.24117246135829,41.41943308244855,38.84861095012103,35.94551163854531,32.75437985205111,31.024429965988194,26.457868137409232,27.47787746250919,23.670656928713967,25.707187999630655,25.691669265719046,28.20627014877701,28.002000441784393,24.165247824667805,22.607660277938532,20.864707541539016,23.580307402917164,23.525888403918344,23.335410545118457,28.535343500311193,29.35881936642222,32.38153579606542,35.69308463626224,38.08172737886652,41.032228669352314,44.435661966182636,44.82265555352385,42.95021522202133,40.94579445308704,36.58227553238835,38.35948865769508,34.84024188244485,32.561995886838396,32.63189125840815,33.72271302652678,36.107342061085156,32.76101492901102,31.90992600747918,33.46134457891034,30.128565981562534,28.95962890940646,26.951329595128428,28.151104750513788,24.72434441188011,27.185743937126386,23.27931488865488,26.83963997828576,23.825941702177815,21.689414038787863,24.314936128386925,23.35732897404976,27.430006555847513,26.6576662654815,31.130476237545437,32.91456836616696,32.10900754460444,33.75643453308782,36.52021184161179,40.395508592190396,40.16776618218157,43.488591079263166,46.34586979701362,45.318967078740954,41.263822531745426,40.94552694463447,37.44239660546761,38.83462867554219,37.883434008305414,36.395687550105094,36.090217938753995,32.000037286006446,36.98586157711377,38.19413371007589,40.42338179840809,41.23629665985538,38.87262777391185,44.45993476787791,47.37517553677452,44.646780745205376,46.01876126764022,44.26786158334071,47.87612458802537,49.577070431885474,49.670022168055056,49.551316140166456,49.15471143588245,49.15414903517596,48.12195798553194,48.96078132552764,50.29972027243619,46.37875120022336,47.30792052976542,45.801688700114745,42.69965814142999,45.9231972918511,42.60551846935056,39.630487107818624,42.921505365384654,44.22862424131359,39.51075419120489,39.60296329945385,43.174026726317955,42.19824717580048,37.75103300939956,40.28813594311344,42.11289569036653,37.82925630058574,37.1959926526852,41.79750748255168,42.744025630039,46.269993398061,48.86215734964799,47.8123278933966,49.946592701596416,54.3129557115647,57.72388446046728,59.231671440181316,58.10048456451204,56.58053131727986,57.92408809622279,54.41607108494652,58.94625208961695,59.450691104479084,53.461365705603924,54.863108679929844,59.47630051084677,56.56096104595369,53.53377373061094,56.21518325271742,58.26944052811107,54.55894346542804,51.88959362665527,49.00242360412711,48.27818200137947,51.027075975510925,49.78545219699888,49.60982021380498,51.07901205955952,47.020948847128096,45.700546472157875,47.416697719624445,45.31250707831067,41.275734031268094,42.755333256270596,42.94439104770872,39.95362304147665,39.67203621689325,44.37267883039957,42.95592868637139,39.04744362141171,43.0147125256431,46.6407683720013,47.17760337296451,49.35273035352505,48.082544729916805,52.46780061148111,52.142546068921554,47.361724234603464,50.58507707754632,53.3952394060818,50.888586200003175,49.49836661104977,55.46324795253465,55.47817115528821,50.6957835274507,52.509327290912076,57.59198679787507,56.45213609645728,52.881334855605985,48.52167312127439,53.08888222194073,49.363549462674456,49.60071847044687,44.32970970610053,42.94282903794633,38.100203116926025,39.400832223545834,40.9592546066494,44.46698845543484,43.70726374099866,44.0957835679915,38.95010143464691,40.24665231743868,35.343793180233064,34.65769102278366,35.217969578600524,36.863781929693694,33.35128236948096,31.51299453558067,33.80312269115855,32.28931893821864,27.736763528599358,29.196374801933306,31.850064733419522,29.52468100131066,27.50211199606839,27.132315192972374,26.98388466140557],[34.0997745682716,34.00926899097459,34.60163874492965,31.339448422294176,32.43441161143603,27.151110846020245,25.04004636197319,23.954281758520693,19.32124579181904,18.33615074498942,15.119060966360756,16.228188360511272,19.225957193536654,16.293297942852433,15.351039320782807,18.53601294550174,20.902406878314633,22.00061349026098,25.068856750418817,28.154658119662063,30.505739678165302,34.84779958461173,35.64704399366755,36.77835140985119,35.16829350720634,30.96609599148602,30.47116002354064,27.066679851345405,24.901822094412946,23.797779547862536,20.106497978078536,22.494394562295593,22.23674195418507,24.928316762892887,26.17485084234992,26.117772519846365,27.824182356119145,30.34912833527445,32.69107675001684,38.699376302106515,37.103157794360776,34.45220352785669,38.08427265468302,40.54270965464268,43.55211160430554,45.739412109587036,48.79381011394473,45.33901681668298,44.09978846842909,49.73919005696232,49.926399991516334,49.99743324419401,48.288539448960194,44.36392765012504,45.81230527132054,46.435935133813906,42.23240019876731,40.43698977752702,44.26987760245636,44.68361030893455,40.41726118598818,38.212178242361944,34.71610187129601,36.19758753006047,36.59431591155374,33.1460884437545,29.124563947119483,25.333278498146136,22.872931808660123,18.583682798654205,18.839282392101413,18.348941115983976,18.76763026378303,23.64832225633773,22.844459130875208,27.416901148614087,29.610033216248947,30.689163689798598,32.43236512801306,36.0678744232993,35.365851479497536,38.03641009796525,36.76143204252677,39.693583724359684,37.857294812575134,34.11210553869172,33.35230343441782,32.09451940248878,29.825752476976763,29.063329771271594,25.412054540956444,25.233181683553003,21.448344261344218,19.8200475143741,17.182010526498267,14.088380329177992,12.483144960603536,17.537966980159364,18.236772701340204,21.22849192629922,23.81389108261419,27.868527322419876,29.23144071938134,32.152782389840525,37.472265051869115,35.77039835187022,39.9986880230276,41.39695254307822,39.19844819109849,36.08552011333184,33.22248587313759,31.08711597668488,26.726902293227358,27.53130257816198,23.36932230751118,25.48834213462418,24.893642908951698,27.591625590288963,26.662625879545203,22.69698660593758,21.6335478872372,20.297686573179092,23.641259745141724,23.83611278049103,23.987744260743515,29.026999155071763,30.19589299498736,32.826121647359656,36.10270942955366,38.026589351226384,41.373205201771746,44.57005853517431,44.77117654471499,42.597587438196406,40.851727521265914,36.58069302963789,38.872144492858254,35.15056969194189,32.87220280859821,32.470178014927974,33.528446845608,35.4073780420109,31.81879661214435,31.163461079075677,32.28063798160252,28.911691544481684,28.142384830301204,26.143194057969552,27.60974943754281,24.53273456811072,27.17589922801094,23.388637461081426,26.72757904404184,24.173867188965634,21.37717336264144,23.630994125272174,22.56492632358732,26.821049282092975,25.58264612621312,30.507863335980133,32.27581121941584,30.91414609416509,33.01494188692,35.3637695504134,39.58356332042502,39.761184362776596,43.14274624400297,46.131072999940336,45.41133440342114,41.37308435079503,40.95048125233486,37.26216978522904,38.219124464776954,37.031671562944645,35.246585897812636,34.844808807903156,30.518270805702006,35.29737297176864,36.62372083338323,39.03298686916651,40.10121283316204,38.130257940954486,43.701067635362236,46.60680729080767,43.894167200998794,44.81788747818866,42.81646547779412,46.3381961681942,48.38416745723494,48.67918311227266,48.807573452943934,48.51563462416442,48.797515786462164,47.931974284079985,48.90450495809238,50.49323469750129,46.80712609760014,47.79878813640978,46.6259110409195,43.3992801414071,46.853747263272574,43.484287523347405,40.58812872171376,44.200799812005855,45.53722883779308,40.91222297329674,41.27247544154268,44.893151009521176,43.86093810443017,39.683498316320865,42.39237592028342,44.25384671093414,40.008800124088246,39.601711383979485,44.27942820778429,45.09105710524009,48.60491434741983,51.084115247904535,49.822792579946565,51.98293664987162,56.17839588782183,59.706810773495455,60.978565104444094,59.61583065029022,57.893357162196914,59.00619178940808,55.28585230461534,59.73632091006803,60.51463129694204,54.526323666360696,55.63235863600405,60.32603424603891,57.61880290735404,54.41681158621055,56.85915651772245,59.211188625028754,55.65841176989873,52.587387274909524,49.960344915089465,48.79400122927154,51.57053394480219,50.53807954338348,50.10331477902202,51.6605710954755,47.38788455278398,46.3027815924226,48.30858400676598,46.01736097469813,42.01897513694832,43.88178742982743,44.14795836016167,41.21824112916316,41.18290304797965,45.91737005764903,44.58026143962471,40.906810049736514,44.948514522261014,48.509012416490904,48.993579894452274,50.910689890286505,49.38825950025082,53.75085267951165,53.76618932526555,48.97278745012523,51.906919423446524,54.94316908272276,52.59197335910032,50.945794272298954,56.86866513931403,57.18674761046765,52.389215912103076,53.89500820679524,59.09129485246867,58.209902144372435,54.64583565783625,50.407364745633096,55.084452083299,51.51158909922009,51.87246625263446,46.59189713375048,44.99801797250123,40.22647635008666,41.64084432228456,42.94970785074741,46.38339332535042,45.34710451849039,45.60803071981687,40.277552752020604,41.20246078147755,36.28306182721067,35.960480568030725,36.11424123605616,37.905982222679086,34.15637998003465,32.62637201718371,35.33619641465247,33.72185234904093,28.995019625506774,31.084250647566787,33.81427468503174,31.41581207609309,29.391284732674613,28.872904180809723,28.56001641500653],[30.78204434932626,30.417499782065505,30.668949413167294,27.41174668927492,28.175150651119974,23.002144195463647,20.70743884832013,19.669697407075706,15.011220589763429,13.929604819438712,10.776236400876252,12.211083184609503,15.109056611652472,12.171130991765235,11.850648051190273,15.08544404536447,17.28528082983113,19.051226936149728,22.485717730582348,25.438822167303357,28.177164873318706,32.47553857690607,33.485212491549895,34.43198792043618,32.467594386733204,28.18051345631732,27.2845584951419,23.62253725087814,21.57155124495487,20.339972032668534,17.638001419014373,19.482834267051363,19.95390142913304,23.061632758316172,23.65848867368094,23.385098295326053,24.652978658286905,27.15132580284199,29.275946255236423,35.39914967690487,33.70910645314316,31.535130790263878,35.32962615217146,37.46731787335508,40.58241855032545,42.55331448920004,45.73672846697354,42.28236449370894,40.69857999838863,46.347258161717555,46.70570785535052,46.73692543022817,45.25416507890017,41.19953351074777,42.950795835073706,43.78986683942958,39.518979121898354,37.93946709567676,42.0168055575815,42.25919324415401,38.22500436188785,36.41227653099566,33.02564542674634,34.78475313805721,34.737962819298,30.998947229922127,27.286076084006737,23.29640331555315,20.94729981557144,16.594241859233026,16.990521583372093,17.419026474692224,17.734413438726907,22.59160466400221,21.38852284361152,26.559390308993244,27.972718461458875,29.32151615407135,30.51597822690592,33.8672388278715,32.77566007301269,35.07158902848534,33.54960093478874,36.25591835053585,34.3046991580163,30.740047828645125,30.381372267575152,29.27608547940138,27.375330267518784,27.191002785616284,23.72847321100754,24.383516956302987,20.401786072503494,18.4288823737496,14.964936797714294,12.558832279423726,9.784210824297075,14.875440002591263,14.998644399859165,18.24330326540482,20.62408544612885,24.313804260294177,25.684463826330283,28.264870287329906,33.49648161235847,31.59375100936433,35.820787701473115,37.096153540961694,34.85419448776126,31.81605871482582,28.87989439400037,26.714305382235153,22.321954213387116,23.170023842618935,19.13415853105951,21.412859584053095,21.10796037864059,24.008786479550942,23.68619564411075,19.50585701802532,18.330179651646823,16.55807285130849,19.839637977725747,19.715674188920186,19.67544611705828,24.686628868899344,25.80335357703991,28.412117032462692,31.692772673054943,33.67715542807243,36.964769262504525,40.19242972506031,40.41878183239486,38.32000167702978,36.51723388880635,32.23718445571778,34.505486114830674,30.870613345488156,28.72697221537497,28.39532566493337,29.79751329000099,31.89131278788757,28.306412797076053,27.36279978241798,28.597683133058435,25.131832547835558,24.14111193056452,22.020653547929786,23.370608994618152,20.215326282780335,22.967085232075743,19.361833006233276,23.057981772632793,20.959213381618337,18.1478916709725,20.1182634128182,18.71661935056677,22.861079524589705,21.666598025146005,26.362891447386303,28.07973845927967,27.00848257637954,28.980034373206482,31.509749025607128,35.5996664327642,35.7584226060282,39.00675365029049,42.05094835397911,41.20504564042569,37.19796640746293,36.69709478771854,33.051729284489404,34.076530371940244,32.94626989793698,31.302543446598197,30.98113750180455,26.80411997359691,31.792693286651783,32.96310202446154,35.260489545008284,36.15944911173327,33.993795268473676,39.56973368880386,42.48454242144602,39.78000522105464,40.95354564133293,39.160208808896286,42.74707969879201,44.63681831137888,44.82894756264081,44.823805562646925,44.45447097126782,44.60069483836908,43.652348253658374,44.569490034141324,46.1082434199046,42.40106456428339,43.387699475764,42.23106180542855,39.02851632173499,42.546987830254665,39.249044098839725,36.29143543991492,39.935687629545534,41.37591654867323,36.79766442004191,37.12223375158273,40.82056731616398,39.943725815448204,35.78027610658212,38.534176616461515,40.52277139050325,36.382684889651415,35.97581806724466,40.7123852668457,41.346622127447745,44.96128370701372,47.200575249487954,45.862517264468245,48.11492568293453,52.22141306517142,55.84497061325517,56.99401637253049,55.62524206541658,53.79795721664225,54.89363252913484,51.13966064529521,55.5327760174332,56.3007303040827,50.27257348414829,51.34831818253257,56.00537017886181,53.2905749462522,50.059863564506415,52.47775553729403,54.82820333184593,51.2941280490463,48.176748432382404,45.58967128960299,44.4369904502104,47.25887247950859,46.3201041946446,45.969404068310034,47.68373195605513,43.40275500167936,42.16463587304115,44.335099253966376,42.18745494970388,38.04784342654109,39.896707467656995,40.402016281229436,37.548979176898996,37.38015750918882,42.211122341118426,41.08800869819558,37.437771644460675,41.35180578165554,44.95001538189713,45.250924641151734,47.08845629057629,45.42856953831512,49.74830707831721,49.84774920696574,44.954228544331265,47.77640571369815,50.8474622682846,48.52322179961853,46.73345152643621,52.651756746674074,53.0458157545184,48.21434739418346,49.60716463108402,54.837767630326944,54.04055591091781,50.475795027247294,46.298128408691944,51.02917380636541,47.55974632143998,47.984226669891925,42.7115442947681,41.001274120647686,36.29467447611765,37.76741165195452,38.91679468363669,42.313025488835244,41.149722229613126,41.3526700526168,35.97266995538071,36.82581629930938,31.89972840361586,31.710123246554982,31.893328712718567,33.83110864302357,30.148108213186173,28.461608969415128,31.367917231860705,29.95859167374564,25.020751468048076,27.2248477416477,30.21116880173193,28.033046471296167,26.099339711537787,25.656094706683803,25.47978878522581],[31.62229017635488,31.41036864580118,32.197182556924965,28.204860588261198,29.84204419536678,25.093607871769656,23.179498338510268,23.241355746843805,18.351445372150266,17.054416784735526,14.740689157272723,17.268390675864335,19.19595508763759,15.160927569985617,16.00980099524049,19.455792862440685,20.46601781662712,22.005089487529094,24.26799829969168,27.981134311237934,30.118893655666657,34.657642463047466,35.02811511755724,35.53006908697486,34.11272375606506,29.694073195974592,29.47726075344839,25.99312725829764,24.80211861205659,24.462786564083782,21.875729343038955,24.50031754936509,25.278048488435207,27.908036960437467,28.34437676488353,27.396563669429916,29.13112305406886,30.595356775958518,32.43914872011244,38.77184047661627,36.454755386431486,34.07067376661766,38.08386747982422,40.17836778917137,42.85836064810649,44.632942749198946,48.036915201234606,45.01518250501867,43.32405212526506,48.96796066946912,49.69489413044681,50.12129631244292,48.611070976984955,44.88877376546001,46.855444788969635,47.22209990297657,42.78172576223993,41.637581383645994,45.58224521352635,45.24983941971609,41.0464997203086,39.481542087783076,36.353574838384674,37.343515671095766,37.21429125323204,33.88199743928113,29.395311015875386,25.991216216888464,22.617122021083695,18.811489108570434,18.127992531308593,17.7636284738427,19.5030095552722,24.281245930313556,24.303807555789994,29.603882395970107,31.319306515767007,33.21231489720562,34.486889198143075,37.69053184522036,37.07325969607163,39.12603846426849,38.0729991240937,40.45819738416704,37.97312874838501,34.740028704763674,34.135432681114544,33.76700987326604,31.220780549380105,31.635534774491116,27.75401216638631,28.13835255676889,24.502182485495936,23.180277664189116,19.830455413045016,17.52910840896931,14.851865036501309,20.46401990883382,20.655528176186408,24.09491308139015,26.190703757996925,29.719852739637417,30.823678004129096,33.15553634925577,38.03329602615589,35.83754816165097,40.06379904742494,40.86431064647395,38.34207198773507,35.74029344200093,32.341650898454674,30.135464283079354,25.54060567506747,25.825297560352457,21.72442676955284,23.13294526777305,22.976174246873043,24.938947628286815,24.637698659650287,21.303611650678295,19.361258934790087,17.94454425623742,20.38188027794532,20.90334490540376,21.377233443927608,26.564490839905957,28.294840289703874,31.07688066327988,34.6113157747644,37.07916233738852,39.758033869056995,43.39020260843427,43.355197489180064,41.82171488061377,39.28945024335058,34.83466430268697,36.45051010390638,32.55434755117594,29.876188367690858,29.943956699395734,30.379787260313886,32.73535656686258,29.61631287463242,29.09183475733562,30.949842723632216,28.004703745640526,26.81085231743722,25.46257805200603,27.13537396614173,24.113677134017784,27.237049104106312,23.968580482932847,28.12264712840255,25.916517103080583,23.603757088694227,25.579903022689578,23.855842348771986,27.75424966956574,26.398195748086806,30.64971860725388,31.60071366202631,30.57451610911492,31.568228558698596,34.50025370641427,38.11316335640137,37.43444825524304,41.0770014624375,43.63831125083803,42.798529921272475,38.6551363838268,38.66285272991283,35.15689998818494,36.88911596201099,36.30586354985811,35.10524844291564,35.332531845350246,31.275353584281312,36.56002860624506,37.142088948491725,39.56531214820947,39.7942004142707,37.88392324279889,43.23666373803304,45.91216435098008,42.92482450993361,44.187462847894466,42.233551625207085,45.847823977718626,47.22756418074594,47.238054343055865,47.14268955321609,46.87904026250253,47.01431178371032,46.19641615245313,47.25899664369808,48.75062316949059,44.8392192416509,46.1621260900147,44.804990865208254,42.03724611530152,45.54557999352654,42.57758873530105,39.30403821994414,42.45401648064353,44.2235002056051,39.59533665821149,39.084371508180105,43.01365690470445,42.658084279955,37.88129086947633,40.25373416475488,42.47489133638143,38.414635612947194,37.29641309993673,41.94035887534591,42.53583155189871,46.54954608460901,48.39026625737843,47.58643205423077,50.06346553439467,54.39552905670027,57.950975620829524,59.38134392755461,58.47678082026235,56.791333174695964,58.203969651808535,54.661546391802716,59.005751237863514,59.38996191659424,53.24484207558798,54.622658727062465,59.020896686209014,55.94136212757109,52.852988051148884,55.42308042794095,57.246608135257844,53.49338005991252,50.679365056070154,48.146544231226784,47.686935873728146,50.68302384691696,49.82608940539954,49.91625537008756,51.80437022308395,47.70797448334455,46.01771635604882,48.140946375214845,46.37465430587417,42.04176697897782,43.39614141757764,44.08536060632878,41.222997228199475,40.544012397109874,45.4270403077208,44.36798990061338,40.336766041391485,43.988762672361844,47.754913548092375,47.94063012438184,50.1416140685078,48.694229352867254,52.97394783895804,52.63660942864908,47.56722782294024,50.67690847277056,53.39780280297304,50.78782233682045,49.099286559330174,55.10346269089516,55.00569192452272,49.99023843983809,51.6694761272677,56.79577394398457,55.54910911874847,51.82681077747724,47.42035978708828,51.802320374580376,47.98540978077619,48.685880201079,43.30821233392886,42.2164552121707,37.4826790574407,38.28463715027042,39.70604830731355,43.02510394407252,42.24909677512314,43.06525685575009,37.89764411965631,39.308322951317926,34.281860595993315,34.21392244957606,35.26252299111816,37.31517255219712,34.05140242237366,31.655367905276126,34.23221862862379,33.30444499863226,28.364101288768698,29.51346665801239,32.75365733881094,30.947803445892596,29.07565916707452,28.874231132150427,28.963521001861835],[30.265500411444282,29.740992113135306,30.265686864722873,25.865972429559214,27.352422938883265,23.174789054537158,21.101812921795773,21.771178867660566,16.942705740546444,15.119591961583296,13.438539925533762,16.746972083704335,17.671281873292056,13.15183005861468,14.980850906817423,18.380234737631145,18.51343945835063,20.295249251431255,22.140861656080855,26.058610819566134,28.14691674457643,32.70289111400224,32.93118838365849,33.08946160061712,31.672095256915913,27.185626622901964,27.026069924247896,23.532367655359423,22.906532460320165,23.029165484126455,21.2409074395103,23.910888265203443,25.344699475605513,27.883701401167208,27.74923705033242,26.27253906240984,27.966789599296586,28.774960071285772,30.302965626779322,36.73772367901585,34.06226804156998,31.90529993253423,36.093041703026216,37.92922861566242,40.44670700455748,41.98051035158669,45.54673598515004,42.74954852524362,40.80830603890538,46.42059760926472,47.42518220361671,48.026916203230456,46.65367756642241,43.052173781823704,45.313506642459906,45.568268417032996,41.031748815364175,40.27899874718514,44.29109126490147,43.54469168043264,39.465566167502864,38.3386086905799,35.464884109611795,36.28169387381409,35.7636704039179,32.45134112245118,27.898453618829734,24.702599629704807,20.99832847566068,17.56566490292146,16.476844986961307,16.5518024152688,18.785205190005804,23.340473624837884,23.62977605788502,29.34661703056887,30.559387734686524,32.91699492930603,33.7919897599042,36.658698928442334,36.03888454588005,37.674714328938606,36.768752408843675,38.80276590180247,35.96961207465857,33.06672248247326,32.574619257767054,32.742752124557114,30.117932023790228,31.289094951371546,27.393097120924505,28.275742682947467,24.75592849159007,23.580263725961878,19.839597510426465,18.202132696894765,14.999650882931059,20.661112897688813,20.63332297698893,24.454420669520932,25.917740878184695,29.19433796317584,29.93064311093745,32.00020406574076,36.478377976785566,34.14768839171676,38.39966244572842,38.869595586206415,36.32532757812586,34.01097402889506,30.44213481066501,28.01679257786801,23.441240374011315,23.26521898543328,19.17213219446219,20.130240801795058,20.13652188225637,21.719379576688162,21.804166429198567,18.820931817998563,16.4589600905578,15.021484367911391,16.994895772929485,17.754337413980508,18.571084611311093,23.68434014740938,25.938821086017708,28.57789617709351,32.22628875819762,34.82332122107189,37.21161042593681,41.00822204311826,40.74735655128816,39.52080156726927,36.60438874683558,32.10735885874211,33.5032491595791,29.45515149563193,26.579164981536465,26.76953617044723,26.912522735390002,29.43972256011132,26.546168688812514,26.078287614136325,28.26582729113595,25.58865644758218,24.2189365546823,23.305378879110112,25.160513719153588,22.390957259935345,25.876467443075605,23.158717250632943,27.724950302545093,26.1435348912447,23.896648251050532,25.392531207307993,23.16021643197449,26.757372253667334,25.170084976323484,29.0076791002871,29.38092203120594,28.45197026982323,28.85314064131503,32.02123170925479,35.31055004352565,34.25976301536339,38.02225498190429,40.38493238459087,39.560728187668275,35.38803824395555,35.592600341986035,32.15965893191774,34.210649074637445,33.938916800429965,33.05007556378235,33.6608867597499,29.793172340527185,35.29525097338378,35.40229118799666,37.83918722220207,37.588803044557025,35.83486569878832,40.993577673684975,43.505105870891946,40.377775559677794,41.74696430789659,39.81389396746151,43.450283221181365,44.49535590253159,44.37632299755605,44.19434497236181,43.96315373093766,44.07677879513712,43.335061300180335,44.48760333847045,46.00720829956319,42.07751761855359,43.62959143932338,42.33146798191594,39.82279119249998,43.476603505997936,40.78582019149862,37.317752723454305,40.31935192164808,42.403551469309875,37.87647660457773,36.93842258986172,41.089905475771836,41.19180837090272,36.22512176706342,38.472278677289516,40.97087824091252,37.12208921182155,35.68891673645921,40.33850341891587,40.65117336229895,44.98442552903898,46.26598380302389,45.60677928073852,48.31656063572203,52.58744494168941,56.24327701289156,57.59385676883711,56.85295968898062,55.05613863470252,56.52500028007981,52.992342200766736,57.19044148153107,57.46180793213015,51.233603449731724,52.61657704490106,56.83838620062387,53.642207502047896,50.54108473108923,53.054757449344436,54.68850579894733,50.909427273804795,48.0533113712436,45.73362813911601,45.51002185228672,48.65500577574036,48.047402495169884,48.36883646528459,50.54863633905857,46.48412316439837,44.48804786966125,46.8686142633254,45.40189784339458,40.86860542480447,42.075845388896326,43.14733182639421,40.41128555257952,39.41439100845991,44.399729232150186,43.63995525939279,39.55339803249148,42.92396976891141,46.769664526277396,46.67369551884681,48.87297495858256,47.302553378685424,51.47748780595868,51.1290974468151,45.87448992473408,48.88530604336864,51.52455435370128,48.85746308011913,46.965778383658396,52.96871702525445,52.799091166572964,47.6486508277075,49.22759049310185,54.36204250785827,53.059960619647654,49.25656523417161,44.85034301020776,49.11426301257395,45.28261238833775,46.28236613447116,40.86368859468183,39.935278502619916,35.321170971425765,35.811857880716275,37.09696193702339,40.272662783945265,39.467981424139346,40.5435861816147,35.39983896910944,36.898446046920924,31.837091685302834,32.17273128406487,33.596258528889585,35.91594590439662,32.91308019617219,30.091855187769234,32.83000621599151,32.376118874354894,27.223820447130155,28.10571748215465,31.757504675166555,30.398558586114596,28.689093725997555,28.64220614914692,28.957419454129084],[33.45157881026015,32.67014883662294,32.99882741128617,28.034817019665056,29.3573853127863,26.193077978479522,23.932254488206326,25.26468915124151,20.701690458593884,18.058995600411794,16.9411286930687,20.754029160068203,20.305876879183185,15.414432706440817,17.424578856595403,20.62546958610892,19.62028911348014,20.697745370095035,21.12312050451629,25.549540181088354,26.87686041832575,31.47454499827664,31.062547551100366,30.818809341700444,30.016902630491494,25.62728126480546,26.266395731323872,23.30252869933078,23.50299987782546,24.640925142217146,22.880133172933096,26.373683736723468,28.066675384949058,29.884410416313052,29.510500247589285,27.32730336300685,29.598385868792892,29.194208888537716,30.465483397588095,36.834229440340934,33.650348790116496,31.15327184912254,35.37540848715143,37.21033451599815,39.2052291766574,40.622553202744896,44.25913008491723,41.931338808550976,40.10354208481693,45.5969139275059,46.85300170703417,47.8789579302729,46.410094689176276,43.28885043824237,45.6539395731327,45.320004659703216,40.708194181131944,40.428980987466524,44.18632527278991,42.83776574394755,38.67204098604549,37.868118733661525,35.38659793704141,35.405729442680894,34.74100898131993,31.949620023088137,26.836059093854573,24.425104095494834,19.97464875733221,17.515430117340248,15.475399369640364,15.000901515708158,18.369098559253302,22.35174863603067,23.781897764771273,29.46601210165906,30.709837358447967,33.648453531750086,34.46799214700025,37.04250079468179,37.01601050761266,38.386649031207355,38.18382979013765,39.882909180040286,36.56836882618577,34.02013607342707,33.09890166039869,34.100920425064416,30.768440178557448,32.63546127804764,28.46197902147768,29.244931110109224,26.25946261248867,25.815325189111864,22.325386925602956,21.091024955371076,18.198601757003356,24.033013451100032,24.384593984234648,28.76618678010197,29.27879608643645,32.76059012026798,32.71318324393545,34.93231154404981,38.777611371675356,36.62948591483085,40.97688637132133,41.06878360984603,38.69739847162907,36.744164397061255,33.12120212827435,30.220608680591102,25.890645994070713,24.788465296598535,20.540421425599597,20.46342057437162,20.067676945902058,20.568752385646484,20.146703365416634,18.323682028193563,15.639378245446382,15.186088417819882,16.531910655321614,18.325029980681926,20.13324835514003,24.802536329711266,28.129978540386208,30.311422398173132,34.07884354052376,36.617884119457365,38.663182729024555,42.61563830212426,41.810701382235514,40.97933012034944,37.52071556850636,33.06077131009209,34.25393785250717,29.790822900670083,26.414375129844192,26.514280060463406,25.476605353209344,27.72172701994248,25.281099059685122,25.48628452656109,27.93896785429763,25.976920433531518,24.77947013995526,24.845665304226888,27.24117353462361,25.165841484770922,29.14767776890334,27.12925649502823,31.9207674249703,30.97194358722472,28.583489336468666,29.537332011712152,26.79120295120296,30.117240740832145,27.92769290061368,31.4828366689694,30.87180254038546,29.53615480012492,29.145681863787978,32.30956302781779,35.22094861552371,33.606908176895224,37.78730222861561,39.66918192266495,39.204768934602214,35.001971122185246,35.68014036835633,32.31660975568136,34.693210037067885,34.86646393603694,34.28695277557523,35.48614823304876,31.713122368498052,37.28694290884666,36.714412147307456,39.38028370125782,38.50281448178816,37.470213675992184,42.20860159338744,44.36237168020902,40.96740943856674,42.024977483686435,39.75899160673145,43.29697301261893,43.978569609032164,43.80976809978086,43.73808174650634,43.73309445460027,44.105718297325986,43.71006318679972,45.16491368939576,46.89120389920659,43.08055279770775,45.10038127680138,44.03282116008322,41.96281227912132,45.863045891471444,43.595381289117434,39.9033594527812,42.68100952790418,45.20919902108488,40.87313545633456,39.3125398935514,43.742247083560116,44.46504612482667,39.27208264946142,41.270382182648326,44.10061802206987,40.54248096523515,38.638391550950764,43.194141731361114,43.16612917936539,47.91929805049754,48.40392614219507,48.063687799026305,51.08235377996465,55.27519611065761,59.01373996485133,60.29613744595278,59.81179895078736,57.877871043548204,59.39909968095811,55.86955345404278,59.822050247193495,59.97415806726983,53.66191574089664,54.988884508615065,58.92374454225219,55.5904162503573,52.46130179592686,54.796507283542525,56.1491437598726,52.37613815625046,49.377710374107934,47.53670482053735,47.59468895667194,50.95956680979015,50.78380571783692,51.34653978382834,53.90118410422081,49.83973403885544,47.549898976614514,50.29395658339759,49.13919974946169,44.42661929879866,45.51416120453103,47.006455341604315,44.42304181165604,43.10697340953304,48.15750164235441,47.70140304966246,43.56525836839818,46.604453155415776,50.51739559283897,50.11745970308946,52.32690087139339,50.62432825059019,54.63866126967252,54.269916630741825,48.81523226594487,51.672844385176504,54.1714130246535,51.4260895357736,49.26191699521743,55.21350369753758,54.90124367899862,49.57048741690011,50.98586453384628,56.08849632309993,54.65640583020313,50.729022440844254,46.33062942231746,50.26626897244418,46.35771385104821,47.89228314903688,42.459067938801724,41.94812654282445,37.57267065737503,37.4290228614353,38.55482480400761,41.4165953920402,40.64756978842454,42.2424773112622,37.22096286332291,38.809936420121765,33.767167503090356,34.79419560610716,36.66580723078983,39.31352961576633,36.60225335424795,33.38142266534228,36.290494541776475,36.357761758812536,31.05989989842443,31.6104695642098,35.62865706627353,34.72085748262568,33.166886377305865,33.23128137641008,33.68925980946645],[30.17930912685541,29.99532205745869,31.24770454448675,26.543949426774066,29.117016169958095,25.1786370073821,23.871405160025283,25.253283066543663,20.535426032236522,19.345863745986975,18.30923732399683,21.676568787594242,22.682687016592862,18.096434108536304,20.53532576330239,23.878879039827005,23.597012271290872,25.487470129871948,26.764733650135614,30.933806963197057,32.72878672405854,37.306640526644756,37.175087866841075,36.94878156732106,35.83561974838284,31.35800854496414,31.47402297564832,28.076180869784448,27.983196912158817,28.3516620377673,26.878660886544676,29.50288678833807,31.03150815770428,33.58442969612009,33.38856784607577,31.743467514917974,33.39603377371425,33.84431076637701,35.097598846418165,41.57449175577326,38.55276964379422,36.553843945236366,40.84736539906579,42.49487143139002,44.74452301463225,46.002796233235166,49.74002792226078,47.26360914106148,45.09394556055815,50.62577852443286,51.948997538717556,52.74328233152093,51.47887818558411,48.019218540178564,50.477867788251494,50.59301469232776,45.99939112767797,45.51686314903831,49.49245034580951,48.42972446074742,44.36335416053731,43.44047977573302,40.724234176176445,41.19383931678574,40.58879278912015,37.49274925210413,32.680937297948674,29.83029332667689,25.754072582870936,22.727196240402982,21.19018932107968,20.862566875180605,23.718980215032225,28.081626618722783,28.901662931904312,34.55981751614764,35.88464035459681,38.40671423888434,39.28471602946597,42.04335753372703,41.50995527176449,42.93612209343839,42.075207946313704,43.873942442601965,40.808587521563986,38.19078957166229,37.78990294227152,38.23382615153482,35.538977351056786,36.92280645604528,32.96011090127242,33.718436088619484,30.307942746946527,29.239099223507584,25.548844185001837,23.823000737616226,20.670620843880705,26.251479484203596,25.98562137541813,29.431110389977047,31.283688638350068,34.1309170313495,35.12661539817206,36.72745415258245,41.09452241137944,38.35904019149711,42.40308272845164,42.53419496582215,39.62138492261486,37.679695130755746,33.76133018556636,31.73918256447957,27.090889454943728,26.89467773755642,23.28191220454367,23.747996930558116,24.24291837971056,25.129835292830606,25.69187094586775,23.381677715289435,20.569959208424585,19.173544070183365,20.028470567272258,20.85542747491725,21.557968563865153,26.581586418684356,28.705180465289395,31.670240432063775,35.3449583777213,38.45885181166718,40.218134020757454,44.28898173142634,44.07293184994358,43.33963381325489,39.97278608448503,35.43488910638766,36.051966217924274,32.16791284799137,29.118985408470103,29.903557891479235,29.528417494269192,32.48596109600372,30.136703000594757,29.770022219798367,32.456712343361566,30.116066408927637,28.46262804863375,27.856508953882056,29.554690794191583,26.656539730678965,29.957559096944006,27.26504406352735,31.92207868800494,29.880851811073533,28.267015818628305,30.097658507900697,28.019972043352617,31.391115177506546,30.144848800433746,33.49350228810076,33.640520803594505,33.127569901799504,32.83595615204118,36.361819506813056,39.12815399834127,37.394147587904264,41.22157680022228,43.179485357362026,42.13184626695638,37.96920718316919,38.5208577785387,35.39723805626661,38.0497462242582,38.17805927229195,37.66893857580042,38.49969036211953,34.872395308041426,40.47993829251055,40.36039244425825,42.69277589294804,42.05409862924189,40.151547424061185,45.15585835241313,47.541727401837406,44.33373193810641,46.025073683071284,44.21241916940286,47.856746624900104,48.43014677445674,48.0917900659349,47.69571076161566,47.44075107281832,47.33872803060219,46.54432226249939,47.64181554626723,48.91318025756127,44.7517663783116,46.38123263549278,44.7196637691661,42.557345057210895,45.93491330294725,43.46390172006627,39.86437633296479,42.295278041660666,44.455657032582515,39.89778362816478,38.34309209981316,42.47275153037185,42.852231895739386,37.444829735674745,39.28567403498839,41.807402470576655,38.02743726978892,36.04443294801559,40.46693707027666,40.89637760024205,45.375737074959154,46.553608921259645,46.39710403719129,49.15051775757012,53.65038767971396,57.11362455283598,58.82187803549877,58.52087167480309,57.00288444408206,58.80768633154669,55.59162599371925,59.80761318284947,59.666786733360226,53.45260571129357,55.21991345075393,59.21808877594543,55.700487008554994,52.859333789807664,55.627334032518526,56.732523139042385,52.74601519562744,50.43468408153145,47.93982779404931,48.41668754059887,51.566948855498396,50.80631685153827,51.51358749102788,53.636690732149454,49.86726591439732,47.549107938475316,49.60428158214743,48.43808118297804,43.88318474894182,44.54895751509619,45.57247876355933,42.807311862413705,41.424003290542,46.30695428805644,45.48049154183278,41.085038357543716,44.23022795582703,48.14961466226894,48.0758503920563,50.655231173724296,49.44293615804064,53.578575909992466,52.71974654929847,47.47504532692995,50.85408807719195,53.090398842562955,50.17209257555169,48.60509040738793,54.6145315345775,53.917052739119825,48.75283971379847,50.75092971834241,55.666275399593324,53.896553811722946,50.04695899793485,45.45698232137112,49.3568647225773,45.21845207403364,46.2457836744511,40.85685424452935,40.50798584277869,35.90311491533863,35.87843457620117,37.547849989655106,40.68799057965567,40.39168262536739,41.903437200308396,37.151180168964274,39.22869910626786,34.26180416596456,34.300333519134284,36.41257101483391,38.57737273786133,35.98804692762156,32.73003167725281,34.856654066612336,34.671996597640714,29.853228532375443,29.685932588172037,33.234834312088076,32.119093556088245,30.482703461498872,30.644205980472687,31.164088170706474],[29.53084065782403,29.012996740522212,30.133769434187748,24.836176877005546,27.579428996624884,24.8690400995969,23.76214151732178,26.177559026428913,21.941134927230795,20.457315920439076,20.488383831875307,24.410283436325088,24.254325421474064,19.533154078398308,22.973685032410614,26.01779301102918,24.585850762610217,26.654714077436758,27.07471461479561,31.397011850595327,32.91126880942109,37.35493389092866,36.871440504883246,36.000247497999844,35.076479189094755,30.696659985190227,31.030167480839623,27.8556237451891,28.738709296705505,29.765754009675224,29.36135897868491,31.94035865901117,34.16531511262449,36.543758415300374,35.69048954972007,33.41292278354454,34.9612593633356,34.41753336476382,35.0971435829707,41.52330328882339,37.9453821692747,36.377073017503626,40.81716074346536,41.99430017006132,43.83681181088423,44.60414012828616,48.57059792623942,46.60615337914931,44.04294803556688,49.37866446126824,51.208638882308875,52.3238500286049,51.30914863349417,48.14286221460466,51.02842322481267,50.92327203812318,46.262862032398296,46.41734997830335,50.38778414050649,48.66316282401136,44.846781903260705,44.593045054180166,42.31828968809237,42.41913789348993,41.29650846037808,38.40381790639999,33.559701039520675,31.227398867652866,26.812827466121902,24.587806114519672,22.53500473909976,22.57490162005698,26.00582112128237,29.817029797891706,31.106524590905074,37.04149437478141,37.78046791419725,40.85883174215877,41.24475306147962,43.48640330271785,43.00838946824299,43.796574549923626,43.179821111185376,44.38835953438505,40.83471291021256,38.84369212276297,38.6200933092292,39.839441077089944,37.079923529753394,39.407370837797174,35.4975069948742,36.75187346228811,33.58914705235677,32.74290662761015,28.78856057176603,27.738951722866542,24.25438210797365,29.648850666738436,29.123653708676493,32.77832550404273,33.97292456124335,36.32603660917636,36.917097640911045,37.995049370643926,41.6730413361254,38.68477681485133,42.57928979986766,42.108547066634635,39.09534519470258,37.770019544214236,33.6070015895097,31.51752484384562,27.10942628339522,26.24894310445275,23.128617273290423,22.650361978867544,23.57199079924245,23.446136052162,24.768723126835447,23.465275952081644,20.142711333458735,18.93084234063921,18.354052346945718,19.53509549380142,20.655360164925128,25.117451422274172,27.87103798131946,30.62118263232096,34.333247398943556,37.752570084318016,38.75820595759958,43.09382290619671,42.55543555771979,42.50512879749921,38.45987959001321,33.98544019022762,33.87241886513099,29.96208195456409,26.629655522198327,27.88096124184871,26.744204547887357,30.066035652177042,28.4617747412657,28.268475202598143,31.543341723689693,29.85414946139278,27.930701021227687,28.10402420213823,29.90033963961113,27.453424633400154,30.989286456157988,29.12536387495868,34.12295551514078,32.753869911693734,31.432374952452093,32.750746911508145,30.20804819645684,33.01024848437426,31.633253106317024,34.146975505405976,33.403781468442915,33.20086399083809,31.785849695995967,35.66411910290363,37.63802774075489,35.06246896219662,39.00862431531552,40.40653687074743,39.30996533936747,35.21046284224366,36.239042166860365,33.4782494154843,36.80023963597637,37.55223928786891,37.649657526170536,39.064326727596566,35.88330592717771,41.643646578609896,40.814288833387266,43.073807861715494,41.63392730209714,39.95817822338326,44.49475206278692,46.53598118103573,43.15600905291135,45.08653136018262,43.38469450495004,46.97991832728907,46.85277105662615,46.238190450743,45.63097106791025,45.424221990681396,45.202836987735466,44.52560839445645,45.72152029218194,46.90746477838202,42.69720887021813,44.68776310131103,42.99562014557659,41.42935610398633,44.83770591310988,42.923073498964534,39.069664985904645,40.97159895364904,43.59598305747409,39.28363563395403,36.847844251528784,41.21364519544768,42.395325500222064,36.65334788867196,38.0733462045714,40.97438462253562,37.637855142963836,34.98872706149073,39.204275350175116,39.22623493237777,44.18549753938398,44.408239368059384,44.71252729871636,47.80280338371833,52.23915890071348,55.73106963914737,57.44578506351465,57.577615497301004,56.02268492764876,58.02306252727396,54.987528858021996,58.93934013736716,58.467079411529994,52.21400107886077,54.11993051189566,57.70807309306763,53.921436328282006,51.210413919315805,53.957468043320006,54.52925808780486,50.46671476975627,48.362004154281,46.1683583164347,47.292256523291755,50.61366744131129,50.17530030150192,51.35755870078483,53.84420874360908,50.28668370360161,47.45665954548731,49.720915355892465,49.10762270891138,44.35124797863188,44.590849470916574,46.12007533857686,43.577451241330316,41.6304459168845,46.51874280365365,46.11001252468898,41.611716586704595,44.19488634426352,48.186581353942266,47.708470411328705,50.393573595248526,49.16068301227354,53.06252288992096,51.99615273509834,46.56135454423329,49.88547874554537,51.79755623704022,48.72967911539188,47.0125614457915,52.931264674008055,51.90328903161071,46.594248243758564,48.58834253975907,53.352338564548376,51.30786946632339,47.355343896736755,42.74909182173491,46.219446606644816,41.963561118686194,43.49308544233459,38.14505312417966,38.35600397053235,34.067620028959446,33.26783468905944,34.858603922374684,37.66731171058861,37.58301137973932,39.699861374367764,35.28983860778297,37.711285970806216,32.889696703727004,33.41559434492397,36.29941391379697,38.72163037579069,36.72883332474273,32.82344421124803,34.85977990120824,35.45629403203065,30.65340014623184,29.70169481573831,33.659709629067954,33.30360049353012,31.974850434618876,32.40155440841822,33.25474962868732],[27.126140578083614,27.240263635334816,29.19996174480894,24.399088683872034,28.104974819839864,24.560896452731367,24.239872052943866,26.395967548129892,22.122586877838085,21.81848757306095,21.67641614682225,25.03518368205232,26.101759816614354,21.75495710367879,25.109945626871735,28.256547875089108,27.597518377389193,30.100908525819158,31.312205323434142,35.41624966511721,37.333781220697695,41.80659911786796,41.63530037139961,40.98159952583399,39.767100548476236,35.30126808400221,35.20847955178237,31.697048455616695,32.09156940533314,32.42908748009796,31.954246043254443,33.94947957668514,35.89570939267896,38.79321770362924,38.205064285184214,36.45291674558062,37.59842729047251,37.89973053333355,38.72500315515741,45.20995432228084,41.92507674274395,40.5878527536287,45.02768494745893,46.20188640051538,48.34941505302971,49.14670847190119,53.10584014042976,50.88287680572893,48.190659963057435,53.592728951567715,55.322494204459645,56.16642812810435,55.243668613367284,51.75241923643911,54.59170314819496,54.87751107244059,50.253933235327146,50.093493026354714,54.22447495413824,52.88574564383398,49.079365829476316,48.56777890199734,46.01138015112332,46.539130594250985,45.584986945257185,42.4089234903376,37.78078416577684,35.000464906128556,30.912414554302096,28.103108979262206,26.487716472552492,26.53007471240634,29.51119351896712,33.73040561754672,34.49281737857184,40.36733708123302,41.28165470145628,43.94342451013801,44.47467066601494,46.96678377157794,46.11124599171487,47.0945357621137,45.94457449163029,47.36700800101038,44.14393000643897,41.946713008096864,42.04375405505074,42.67213866377695,40.381822917197916,42.150717156726,38.38611450479699,39.528275662523576,36.03158189370593,34.72767700694577,30.72866870273646,29.256943526525003,25.734856966059947,30.887474828861844,30.003337227829807,32.88341680055754,35.12976434321592,37.0891778155949,38.5131390727567,39.24408291447841,43.42594101925979,40.09282520362947,43.74386586502084,43.45345351809545,40.08034447753616,38.63851416433993,34.3725597557812,33.01768779902341,28.418208744355702,28.41848838349738,25.696628925813688,25.87627325868025,27.226571477341423,27.692978189915692,29.365503763827725,27.426447214454775,24.2374743335585,22.43824468610826,22.055025738391578,22.42990677482973,22.595007882514345,27.30294606011804,28.88148588779214,32.22793814021615,35.78338356948506,39.51378251868047,40.479800976683485,44.78360958325671,44.79621045475635,44.638325825682834,40.89528429494284,36.410346196528515,36.06244078054201,32.68511591942163,29.76767968799527,31.341825876524094,30.959619135460944,34.6043194439636,32.825777480668755,32.184543709899714,35.39308932946474,33.26595301224288,31.13982301274314,30.63001247482037,31.876129094383586,28.784171186513394,31.67760699069342,29.187825496529467,33.9016130893296,31.610167228830115,30.874890324091975,32.89801450326113,30.984268305218293,33.87758817386227,33.23330691403561,35.752406011109315,35.79844353593049,36.10050689840334,35.09484208159331,39.082133790207315,41.16609710526307,38.79273144370175,42.388162905919984,44.002527629532224,42.48450953683264,38.45552456998991,39.22525449203294,36.57854253050375,39.861179800459134,40.39523003538411,40.37811767832762,41.36044369654178,38.20492417506668,43.90060874553193,43.58245070336761,45.60081448494566,44.55803065628992,42.193664445310134,47.00819205250491,49.301603912884154,46.13882303077265,48.46133739574849,47.07473386728604,50.74563530951946,50.742048795679395,50.087827365005325,49.29951032347306,48.89433267564869,48.3425869323372,47.32912795821714,48.20801309658045,49.04909197015624,44.619705543444795,46.18009499309549,44.03841623216132,42.2670478235693,45.203910981215465,43.01615174136455,39.34774483069102,41.06257672078637,43.24214525702248,38.74463530379285,36.54767108108587,40.54498685823542,41.24679643145451,35.465297469219244,36.81805769434406,39.3365390225514,35.756065101170954,33.20274573042505,37.29363389941451,37.807357926813935,42.37618831594998,43.41520940463848,43.76545689625599,46.52481930742155,51.20272599007922,54.43377165538299,56.4936417180958,56.678146611764824,55.48593098555755,57.661069176114346,54.86123895505037,59.06174956362415,58.43278179834904,52.31404085866131,54.53119983828592,58.246125721096575,54.40271522102539,51.915975425102026,54.99688131103491,55.50218866054357,51.31927870704407,49.73756001393264,46.95681532316148,48.245540710391715,51.321384450788244,50.33886430760618,51.51873808705666,53.55580765291513,50.218082408780376,47.50468898573754,49.14271354640057,48.40995837216877,43.87302255855482,43.854138292640435,44.87666653661723,42.16881794748788,40.297713545725834,44.990569647458834,44.19437128320047,39.54147520625763,42.29415311129384,46.24105697805924,46.12515249535973,49.077968319248455,48.26845513855022,52.289457264321264,50.8690303671563,45.69850722084714,49.43991901128934,51.19334924923968,48.0403855285854,46.87512275336716,52.81233389871988,51.55193445837527,46.464998371099625,48.928253454468894,53.53623476915231,51.296613974530594,47.47038596583408,42.75267483829092,46.27198821295227,41.8939296469954,42.836533846074396,37.57450183795246,37.78577599332605,33.285403253999014,32.788422661324375,34.84914001686225,37.94153509992397,38.205727786052904,40.0629028617656,35.860788772032784,38.556870940659614,33.846993242258925,33.436266659189066,36.29370212210151,38.228809771607146,36.24638495761669,32.51509074062591,33.878115762447386,34.10449621499592,29.800820463879788,28.40412113867214,31.80001512266028,31.14665663676733,29.73542997659201,30.204781358438023,31.05583123344729],[25.617782803399923,25.296908677287938,26.99676203091277,21.715172414510462,25.503295624819057,23.21467585317574,23.109468238807263,26.158861568627252,22.487036234864973,21.992179573863197,22.803048031920333,26.530686589280407,26.603524613268338,22.349135031634805,26.502299988363376,29.310390455837833,27.758839020770356,30.52078762009015,31.21259267082776,35.26282815556075,37.083942399569644,41.354105090690034,41.02945114496204,39.86236857663909,38.65081021198852,34.322097873935334,34.218093448576504,30.863923096664486,32.02163811943649,32.793298071493155,33.3816356201942,35.15332798949592,37.734230971153984,40.5524068118467,39.34222172441164,37.11905907531839,38.022281981382484,37.58420509234761,37.87910664354995,44.24222650625424,40.56640059265767,39.780435786260924,44.30757079975863,44.98711171743282,46.85284650778964,47.17534716395945,51.312813358735966,49.491320008702395,46.38777843988155,51.57374678944009,53.737282822512974,54.7859374307986,54.15571026050846,50.865608140967055,54.095516209010405,54.31063206372415,49.67616167523328,50.04907505662305,54.21513343309709,52.36862481075101,48.87881928586847,48.97649919025484,46.78745112186636,47.1642535982327,45.71668249134002,42.62205416717017,38.17020596068456,35.72883419842654,31.55436451185699,29.333692139076312,27.470875502948076,28.007533120624117,31.230122447790244,35.0112944661456,35.937425229427845,42.06704276069993,42.34647082413074,45.421608706173664,45.44389146900457,47.45066828578323,46.51127747836833,46.88933181983797,45.84112207578113,46.7169534433475,43.14331927469505,41.52982336645225,41.90749883242137,43.13054849647555,40.96122219112347,43.52646456468126,39.91328250288141,41.59345939967232,38.25562756352346,37.044707095027526,32.778459322118614,31.942037915592415,28.10021175337124,32.96341632437449,31.796775989536428,34.8050436915345,36.43816647010462,37.85676029806264,38.94843088415696,39.124814325388954,42.64930584754123,39.07966012394471,42.52423913893744,41.687904205132256,38.2368048014246,37.38364363622204,32.952140961843355,31.61781702494229,27.33451144887553,26.82918497880374,24.737568285615307,24.196631299586116,26.031670719985367,25.766674767622835,28.285532047761972,27.070157713426024,23.578778201406084,21.80454148951299,20.185658953248243,20.607885284536014,20.94388694484671,24.982139293336836,26.956364698633696,30.081516576046898,33.588134689966125,37.578640278281554,37.831247592175686,42.32494653025824,42.11182403663206,42.568262770346536,38.292722567207775,33.93310206121245,32.882677544054644,29.642612981200227,26.637405507188625,28.69173779778067,27.896295635798324,31.92071920708828,30.795429518602905,30.14784305875561,33.80924679715963,32.20227315504054,29.81308717225823,29.885282311168545,31.096249390446484,28.423056977820796,31.422692415868227,29.754395866936676,34.703585311855726,33.14920979315212,32.66336551806271,34.14686013780253,31.842050728664116,34.14667461380427,33.45783839569828,35.138026185097125,34.45894881777001,35.156761293168934,33.21454367923482,37.49051756986599,38.8288406405104,35.785260413546354,39.3314300209448,40.48698143246592,38.835937484421656,34.93339543745285,36.05537468506682,33.80887342169171,37.64387079181818,38.703355716722434,39.23647314913766,40.678972244064354,38.00346232038758,43.76424551651589,42.86268040839921,44.73537315021722,43.022744883734994,40.76864664766576,45.1344773205722,47.130939175183606,43.88692251762729,46.503728551261794,45.33141460200166,48.94198478709576,48.32334718917354,47.40267739308702,46.377299433969654,45.96212111180146,45.22824133266853,44.25961553553979,45.162182387468526,45.87009035867244,41.41101867002376,43.23755221962314,41.05876962476126,39.83506490802071,42.76147666019493,41.10368816372037,37.24246967951253,38.45699759437389,41.04997699720638,36.83400544964596,33.84808938746948,38.03878672240683,39.50196077398257,33.48720183024798,34.45108434574916,37.33666758573509,34.23685163629943,31.09886314910239,34.98328546552848,35.05178066950835,40.06574320674868,40.15544692318227,40.88806799999319,43.96291066824992,48.527223852828136,51.80628393610273,53.81418970876116,54.36421511200684,53.112460224698,55.436947394087355,52.80284082398219,56.73649048734949,55.82227882791696,49.69730783777384,52.019385515876294,55.35206039461886,51.293448840197925,48.93461155120899,51.98773280542919,52.0249327242258,47.795531716616004,46.42261137990857,43.901587389915775,45.766137897520224,48.96426731062597,48.27917440535104,49.88457692928451,52.25351555409091,49.13120312978561,45.962849006237406,47.8028353802414,47.59720686586232,42.903713138095426,42.50352481405387,44.02798347435725,41.574051166062766,39.192249919384906,43.86456804258381,43.51643394565132,38.847376977583,41.02500059013701,45.00825397408277,44.472163105348734,47.46067167902567,46.59408777010198,50.3656081361425,48.805104887073725,43.47384313705939,47.10611812990046,48.57484516069142,45.317672408297156,43.989679200655516,49.81280368479315,48.29260899257728,43.091983754272576,45.51949112435322,49.98266005022906,47.535753618975114,43.63227280321742,38.93061465980239,42.08448263762928,37.639055511551426,39.038220595022956,33.82640150443796,34.50953347846306,30.350438016239004,29.15401832837526,31.098251243950948,33.8753702762297,34.312702789149604,36.6783383684811,32.82861912341024,35.8123520462126,31.30968551788832,31.333358513336,34.86404580696739,37.02493514103724,35.63204440575111,31.349452574407355,32.63971481386918,33.62926051847035,29.385438975633924,27.316626863791807,31.09558991150475,31.223066324406386,30.157731173090642,30.876550466218514,32.04121623565101],[24.11196434096344,24.284145457694684,26.826421105440005,21.98774436168518,26.827013858689142,24.83213674894323,25.73118904905381,29.027148031633043,25.86909549395336,26.25084469318397,27.37658541129551,30.760927630260657,31.2499024393907,27.387819696043287,31.737922123540812,34.43437054166134,32.99289585398218,36.087282466360506,36.95833550812477,40.85523225740913,42.81657980040609,46.99053060552442,46.72730113992799,45.405032669068866,44.086457679646664,39.82236448994767,39.498719281330914,36.07527649484019,37.30325864878472,37.83480402785396,38.84129541115961,40.12422017560809,42.77589658526858,45.89133004898353,44.592424726942134,42.50640320816897,43.02037118972001,42.769481521921804,42.86896762022643,49.141897664820036,45.457870974630644,45.12633420885891,49.668922186940556,50.06737712976416,51.930311563696506,51.97102739740896,56.18909462844233,54.47562902278488,51.05516723845822,56.09740687699221,58.46537598255174,59.45707132002304,59.0747020242262,55.71153019969606,59.12729508925779,59.55736370190176,54.95443002296943,55.41660041059115,59.689819848728256,57.81011016743112,54.49751538498494,54.73609207482008,52.55957350900549,53.078404835230984,51.51854338182891,48.3319806753854,44.06421731908513,41.55375354027664,37.502821826661496,35.22446851244245,33.46849276684078,34.09269699619445,37.23273192421051,41.056398168885316,41.8172325545448,47.9862299607812,48.14098437845014,51.13944744003564,51.04124339785591,52.972718885859685,51.75781863872717,51.94378583555903,50.579314342790894,51.28379378542107,47.769391247059914,46.369807190885055,47.11484398852738,48.242895495327524,46.44716064448132,49.00665473620387,45.55325254311271,47.35122862110224,43.88819197319106,42.4453332837077,38.079909363915704,37.20722441493954,33.268867876145215,37.80559255091811,36.262755948689275,38.663452635671774,40.81074294336604,41.576683098982045,43.15852675110405,42.69457365786579,46.172507822414865,42.181136920190085,45.18216643309527,44.11098909402995,40.30169690935887,39.819423286402525,35.263831824657224,34.69129521392044,30.588981439939527,30.49991894176259,29.17462317480864,28.696135277709022,31.030446190996837,30.714596170326512,33.79995796581092,32.61887970445325,29.11538318807282,27.085352983254385,25.023979335955975,24.93354186323243,24.633985218684675,28.221282837491334,29.315256866394336,32.735410261647345,35.94586786161918,40.349627318935866,39.974537293060976,44.50831060995903,44.64276493515539,45.488569421560854,41.144439037226356,36.97331496821454,35.15092102611127,32.61731929859269,29.996166808180643,32.589347407410145,32.03801359707592,36.42760293331237,35.645948348657384,34.73555878929505,38.56564030186153,37.00073117438867,34.36415836734113,34.28312740774133,35.015620468223034,32.136657678097016,34.55305242817341,32.88979554780843,37.59784308145091,35.65040483589594,35.899535275752434,37.67386466040637,35.73298144191495,37.71605632617873,37.63030184088851,38.76579721869904,38.286064756920894,39.618174374852344,37.420642935148365,41.891952382345416,42.78346827066207,39.446749285742904,42.61165625818172,43.537489121357474,41.44764601187015,37.80467695368018,38.97901981356458,37.20233305109329,41.340325871141175,42.579178457000346,43.38143523706754,44.753668382338276,42.4270218750993,48.109496030132604,47.26045571186256,48.828710389962325,47.00931089646094,44.289962444476,48.50882777773747,50.474300257663884,47.39550262736854,50.511516949586934,49.735781307271374,53.325355975342156,52.37511001027604,51.224985728256115,49.888580885760454,49.3141069820811,48.16385034988417,46.95118962741448,47.56734233880763,47.81132748333848,43.18295864150763,44.77533316041764,42.11612065285287,41.201605710682635,43.529847012807934,42.07980014534638,38.33789720363071,38.82830134382366,41.231032415945386,37.15189698386836,33.750450248062336,37.55870955050618,39.14521153862066,32.98160909650264,33.401227436741564,36.0801506165305,33.22726053233439,29.657418883739748,33.00067861081944,33.285894289497456,38.144772411387905,38.30557134918266,39.555338652168956,42.471370591837,47.184843340710835,50.10870473279047,52.51980399510143,53.53031437582799,52.6994896395282,55.36614800634425,53.2064595637685,57.13521245718324,55.76463751818275,49.8710772208037,52.63162301329241,55.69933712133505,51.40613584539628,49.47265722874798,52.837910714076585,52.32888189518187,47.966636508631694,47.42651073780296,44.54269054306582,47.10567343676605,50.09822731468193,49.08077982882233,51.04354613464931,53.16188503970816,50.51452471947668,47.13258058987346,48.39931966274054,48.521079003258556,44.02256229972585,42.98697568347538,44.32261070465338,41.936566700915066,39.227729964600265,43.54028445686756,43.11826469020558,38.31272408138899,40.104436228236835,43.9985853178651,43.536481417796914,46.877022287784676,46.51200679069355,50.13723730925127,47.99650448849401,42.92781471042541,46.927288728410375,47.876423671528656,44.44116778198402,43.68096294238505,49.31838349832232,47.22729503326249,42.27430423866642,45.22545844772072,49.26416628321769,46.3504647826876,42.58520045856294,37.8386321477576,40.53293976783578,35.90300612914994,37.01515821018296,32.11084757983339,33.37759097533267,29.44303215331219,27.86297851879496,30.27553092097738,32.971683020899384,34.07205091058051,36.61963625351964,33.49836710526555,36.99306462164098,32.936095444427764,32.29973564142466,36.29609956393485,38.043756839584084,37.19700310943147,32.769208022591094,33.1588774132149,34.35306662653153,30.88267207521322,27.770999923989276,31.03648101332543,31.492518183627695,30.64855188480233,31.573175278499285,32.91867060523045],[21.47086308267601,21.02343904106606,22.934130825796718,17.727348823382066,22.229626287209303,20.968407043540427,21.79658184473344,25.513773142749542,22.812916649066945,23.059431498645928,24.765935029848524,28.252786615310114,28.125879886130733,24.551416432831182,29.300029806088755,31.67322780446396,29.826826089473112,33.17527701252252,34.03293445671157,37.67187400164608,39.779518547907394,43.75248224819401,43.63236242714706,42.15645265731824,40.60086126169797,36.43851942807617,35.85175095964749,32.446066867453226,33.96366044594974,34.58238451230929,36.36124749240562,37.29513057147425,40.34623426485078,43.462487843415126,41.743374944491734,39.486987901075715,39.69959569049611,39.19482442252507,39.006533955450216,45.140573850984204,41.39708067404279,41.51457275367985,46.053627956508116,46.13666362805775,47.99015478599502,47.80545523894939,52.070401637584965,50.43621541890703,46.773222612396815,51.7052292960983,54.216781220919636,55.19539642793561,55.0130240546071,51.6662162908095,55.27168169676426,55.81300553217229,51.26483803440069,51.94380551262686,56.27555920805317,54.255209156954216,51.21168296892882,51.78202214426562,49.77844317669403,50.445492783493044,48.57831466912799,45.30620839253466,41.403044942359664,38.937500166962565,35.10777681270148,33.061064457622514,31.40036008088406,32.562437752436814,35.5199156434451,39.10169076055734,39.64131184608879,45.94531740383217,45.568011685013815,48.69765388982225,48.21154620175804,49.833463543582184,48.42384266671324,48.25178869549348,46.83046098565375,47.241113842951016,43.64708966900804,42.55529646343163,43.57165340660348,44.91590029422534,43.39215876399071,46.35872349818706,43.14484040159666,45.38979702813538,41.98801579494319,40.497993305770706,35.96321487288186,35.58208458822073,31.445189042592023,35.588993958771816,33.83213017395133,36.28947431193773,37.95262737699723,38.3526724378922,39.70119684783833,38.91245042278995,41.99323968911174,37.93757430506674,40.84362570304712,39.54047751752023,35.77763121001091,35.547472183048356,30.980179355261807,30.3535570506956,26.494321041836848,26.177707334044694,25.305811411287724,24.588418695812504,27.254681978043394,26.80088358076119,30.4868321192452,29.467576126167845,25.95456858901693,23.781561886871017,21.15112504862343,20.827548493211406,20.459990976285532,23.60372893499008,24.860563943042298,28.093770624343826,31.2628854201988,35.70594204667438,35.09533700920809,39.66875816725505,39.705086336541086,40.746186529769304,36.253307007224805,32.16194429640861,30.132282081975013,27.69636412076956,25.169284089911752,27.968594876355848,27.584951445641053,32.18493974299036,31.5987072213174,30.494279558579755,34.44424197056197,33.050102451297874,30.267996294768594,30.375867543334905,31.003541052660857,28.404123905245612,30.85508279760195,29.762949100307182,34.57464732065141,33.30725894620953,33.56692059259165,34.86389763492035,32.66682107613188,34.24658905808338,34.13594955762369,34.761276660837964,33.952793127916145,35.55086829308797,32.997159334222935,37.56499355337617,38.13954137440181,34.67098493179017,37.694211033054025,38.56870374382905,36.3805266757759,32.7937973028776,33.99015627619551,32.369865629458985,36.656011819138236,38.071737106322736,39.11744782767456,40.66488399838389,38.65219215440221,44.28883330938848,43.1833533989034,44.62038840233696,42.53874259187209,39.82659340373452,43.83167540641895,45.689866699416726,42.62748580185622,45.90762818003749,45.31970536534687,48.874705852663595,47.722445371477676,46.4808731939584,45.03167170429639,44.409321374666185,43.156944932416735,41.92276584476247,42.52954705480054,42.76079458343623,38.15204399457513,39.849034919556544,37.281931103271994,36.5292330153274,38.99966625547622,37.76621620169537,33.9158235521749,34.37209912365869,37.046127733713476,33.10751969533979,29.452079828038208,33.49929698324194,35.469907421507514,29.2905482290205,29.730712900491294,32.72833687474482,30.10028728898271,26.416478134449417,29.909606844835693,29.782332787137577,34.971356997370705,34.55793578417547,35.70459189062526,38.867140805799615,43.42084825525913,46.56776440529411,48.71524349894659,49.67450335440961,48.61579122734277,51.20456985359535,48.95202684796297,52.73559488653031,51.40500887911298,45.43579090887737,48.08435525949606,51.06846907274254,46.77924552372669,44.75851120115707,48.01865635939424,47.511493969016755,43.17952939569996,42.478817961800615,39.780520926003405,42.38959029765465,45.47559223135548,44.70405742659754,46.77099364409971,49.14778095710461,46.488660889214735,42.93126573593097,44.50366831427855,44.83201136165158,40.20320494956174,39.16743587997439,40.89522683089294,38.678943273330916,35.79166976291447,40.21582846388471,40.148292128955454,35.458350081837,37.02130027762057,40.95372012567445,40.173840859461045,43.33415130878897,42.70202628415993,46.226022122975465,44.28866975157387,39.02531160339045,42.782310201347435,43.812057727401594,40.41997572630336,39.32712484468827,44.97790031190033,43.0396951700022,37.93079107233525,40.64423617974591,44.80296838251961,42.03523623297117,38.17949107861766,33.458890756850415,36.28053258463929,31.729019962336277,33.14394678061717,28.087139062510676,29.24853129217284,25.404556665815672,23.67732620554526,25.810673088213942,28.43389442218845,29.321908245865224,31.974926563634316,28.783365078849087,32.25114562203209,28.230507738834522,27.98103945947732,32.18259611591239,34.17186065189623,33.54436334989151,28.876960913123618,29.514365054042745,31.137899454160443,27.51212140002272,24.37088159572608,28.0641967791655,28.960331820114575,28.315585808660106,29.33231672183477,30.85454148587776],[24.205503488784917,23.695885985463995,25.566068714506173,20.428669171246575,24.849932221468016,24.534434919202003,25.46662500674613,29.455621059353962,27.036096466353694,27.0664248305731,28.949543006470357,32.55801764543513,32.012154943522184,28.41023201056988,33.225547140701025,35.51297517421444,33.269101404984305,36.449020918604404,36.78230216992217,40.479174677096395,42.287176996943316,46.13640107829528,45.741175890737175,43.93884321419808,42.64252197413694,38.66266899600496,38.332434505223084,35.21417127939536,37.155899244223974,38.12470953651225,40.084463360087895,41.18081883903789,44.378160324059515,47.30553586685138,45.42812865736483,42.90971755012717,43.208272973942215,42.18756544415776,41.74431412055404,47.71823095387887,43.71533985382875,43.95884193664231,48.472563300635755,48.34838479855532,49.87121830108652,49.40602991954043,53.7289692524777,52.47541728061397,48.69606495208996,53.404460218801134,56.194887799173536,57.39250355448685,57.31916953022589,54.23781877525564,57.99530119704049,58.32776773845211,53.797191632012215,54.80353096901814,59.03288759561737,56.655700198662565,53.72459292129948,54.584617903754086,52.819618108750035,53.180682628287926,51.14996331177221,48.11294545289657,44.13338890887689,42.01889922630196,38.021148280098714,36.36728546617011,34.46182558504166,35.524834654555235,38.76411235902285,42.07738131661842,42.964063166602664,49.25011997316138,48.77679365636291,52.136567652711435,51.534668895581284,52.94034275670425,51.68563532013896,51.25234160706139,50.0623256315433,50.18326684538643,46.36735284974797,45.60927243305302,46.59411712983078,48.321955707553826,46.653003661566935,49.960950499440514,46.710001397178424,48.99365475364723,45.75750431946128,44.459739197166634,39.953033282190404,39.69294703491816,35.587449623967395,39.78837979076419,38.09231607374526,40.673765801042656,42.05278461836353,42.36735675542342,43.47066368430663,42.53714440618504,45.20053916950318,41.12432235575483,43.87085059864694,42.225092706387656,38.49530645994741,38.66909449776407,34.12150013958877,33.49143205553566,29.944511552621783,29.25394912297861,28.627118121878357,27.420937624951613,30.08006262095782,29.030542862710153,32.8115581650226,32.39413901043191,28.816793744284368,26.96421104156431,23.868139263407983,23.842265654176956,23.788505131872967,26.328642959887237,27.892745037843014,30.81283493220847,33.842792663604534,38.33346914479161,37.18626556024878,41.81030031222752,41.62264635643553,43.13268558967616,38.29367622923393,34.41239132499908,31.87000675145589,29.5847835775319,27.00068108952556,29.990957327769966,29.0023295703427,33.59681370032036,33.56410545413386,32.69138685550266,36.82768042209006,35.88157648467907,33.10838028416566,33.663749974822665,34.37881393383444,32.11832600695826,34.621205032392766,33.89802919160102,38.71533226996747,37.68434089817844,37.99856461780648,39.11548893517629,36.77487165603219,38.137809130795596,37.90793863378595,38.19088636427944,36.90415015720296,38.54826178363618,35.43663780654282,40.04040366773135,40.09753540023987,36.11820283381125,39.13542824277931,39.49763674949993,37.32669169843155,33.9499164014833,35.510122040058945,34.25620577309546,38.85851319090096,40.63875860376861,42.0006931668731,43.84642114165224,42.059328479394004,47.66626283388911,46.201945125373975,47.609389627686035,45.10263436361247,42.640148878574784,46.24788660786628,47.82561561301159,44.709342949641815,48.038024424137056,47.48789326224043,50.9294763385889,49.33346179766946,47.930259247528014,46.37123728405172,45.80157080382853,44.49790822240757,43.38946379297065,44.048408876107935,44.17543222195988,39.64018556342387,41.55708265963963,38.986903136051026,38.748911524632014,41.09331318571858,40.31138270969741,36.43103652062262,36.38417532321017,39.27907397090118,35.66632995704112,31.44129403371772,35.4326263399444,37.93156785533225,31.730193292965605,31.71774020130985,34.82493593151208,32.66102069937384,28.576528846668342,31.594211019482294,31.206850534351226,36.55178229111548,35.38346225072482,37.030944230404764,40.33240792303473,44.76535187943233,47.7795089479293,49.999626408473574,51.36329894145394,50.38069249376346,53.123986044121146,51.111365489460674,54.64471660019893,53.02389094631953,47.17753422591964,49.9404012019849,52.524129093443236,48.06494647340485,46.25596130734926,49.47447008372151,48.464951025983986,44.132973603886036,43.74930086552224,41.31693060289036,44.44131368969322,47.55621101296174,46.9873793584188,49.364966646066506,51.89207034768415,49.46140741158301,45.6499046090911,47.24511271268877,47.93084535830798,43.317592048349006,41.97794031601227,43.92722643211695,41.89797098154928,38.72806200174495,42.965646145288304,43.12137806123096,38.476642029853444,39.584696571814504,43.43500200281291,42.4364916363397,45.664521062210355,45.128699286889216,48.394719062483404,46.241586521043736,41.027695464711805,44.72074660302923,45.3857206001699,41.919271760425374,40.85533855204264,46.26540614540716,43.97322196315992,38.917814699693025,41.67109721041756,45.522739169792715,42.45600908208329,38.62316795325712,34.00340199826962,36.19983925024755,31.582432739499854,33.387628533640516,28.636363769769943,30.45210934561487,27.129300555266518,24.663346081192014,26.74077466534006,28.88893991702949,30.126031050693697,33.274732426686704,30.64719975542651,34.31183561025355,30.63695217919275,30.67293688425111,35.240595561094,37.26681050596362,37.03961487242453,32.19233674553773,32.641223162565524,34.647184566875595,31.25779766089766,27.75281826271955,31.386708241064426,32.66349089026672,32.191112380924544,33.27364246923768,34.860625983701475],[21.87910302819946,21.21859930941766,23.057910957425175,18.257744478593022,22.875778442080684,23.30383476308411,24.752533715348818,28.965905257485463,27.212439218395662,27.659341904095246,29.965461376825644,33.33806001059767,32.71445067631047,29.60453471049581,34.63072261787312,36.63234979635131,34.31608514347769,37.811697160300284,38.343048458338814,41.714756997761995,43.74050506305628,47.3778304484999,47.18167040035058,45.27688407154423,43.71349927363566,39.86521046557117,39.17927558423171,36.03688012641334,38.08634054502894,38.88940031892177,41.51468269005909,42.06767730708332,45.4941720239317,48.59577645663385,46.442855885460794,43.974111644394455,43.8256748335159,42.85738305694216,42.155904010922626,47.91832004718406,43.97597067116776,44.78427750377511,49.251860692277994,48.77445137301872,50.33840597215638,49.593471244612516,53.94007144632409,52.74993346085032,48.65951184208019,53.179519201363604,56.12516363408755,57.222797205902445,57.43311809356041,54.29600878466981,58.24127857888939,58.82464192502279,54.39180177436425,55.53061265416191,59.85036171811643,57.447274857067235,54.816074229940135,55.92147014237603,54.24515406084849,54.85531586594776,52.60008707321549,49.428193186601945,45.85503513899519,43.676628167763795,39.97371721828333,38.36375513048658,36.65180715475025,38.09385581076193,41.08105237291193,44.303189308798395,44.87134639981193,51.21997174692209,50.35061840956783,53.67803818709324,52.77496523665032,53.95802898334313,52.38510471240739,51.642677360625115,50.188396602066916,50.046033208191865,46.30196343286186,45.84234991057496,47.2306132677473,48.95354027450003,47.73740095086516,51.211300488411354,48.24669754797501,50.86014691428787,47.58291089644473,46.098452876520945,41.473539254984736,41.47687069922082,37.243030646925554,40.959615100491234,38.938822118193194,41.15347518318579,42.529028301979835,42.223731753060676,43.47882644132597,41.96815199490795,44.332750520259744,40.01756863058571,42.373865121311574,40.47100232412012,36.608370925173446,37.17117010509406,32.649708514279766,32.4945595752598,29.321354559799857,28.802561735064145,28.933852866053943,27.73231021219791,30.806462649653014,29.7850240380591,34.1624992754905,33.748426000890234,30.26398170247462,28.180902776987914,24.71023773356098,24.194659485427618,23.684422135572476,25.565162667859894,26.56539926537434,29.452490989397237,32.166397938825476,36.84460871290702,35.17691649559333,39.75978456295458,39.77060690635828,41.6064138041327,36.75031457875392,33.12738134062195,30.020784061856713,28.37274189795593,26.239222983688027,29.59540229563136,29.029060769164357,33.86889815388121,34.08318137952745,32.89175466368212,37.07779274517861,36.21476453886911,33.26163854236992,33.76371112885434,34.08516309948377,31.913157513510342,34.00636882409888,33.6538731749039,38.27382137382409,37.47323070629718,38.20119989809125,39.16671236777551,36.93727284417003,37.83878755200617,37.97249466660736,37.61803634484009,36.32298202341408,38.50670354733026,35.150264378788506,39.837285808486826,39.46140970232064,35.36115525939704,37.94081241711356,38.17873865054698,35.65541757986524,32.55945546880435,34.08037742218659,33.251437907981796,38.00727044965844,39.940166642727064,41.5731703370671,43.41846169693894,42.06069018131395,47.505830435935714,45.97437277894739,47.080959310001184,44.42321157434058,41.66691358896762,45.018626550229186,46.515440019638156,43.57885151688331,47.30412908475454,47.15259050879606,50.529594336817844,48.66408941505351,47.09235487407397,45.27580749717754,44.556526692043796,42.911893277055306,41.61348874942223,42.04472383373061,41.844544567711345,37.26863214190634,39.04096422435563,36.24205868904602,36.30949515547246,38.31229356234055,37.82222080105639,34.023758296237716,33.47451676513332,36.38179518356737,33.032744164379444,28.43983305650953,32.25925736436112,35.08178827369065,28.916547825544704,28.542174848622377,31.693067153470643,29.929777780646024,25.57616723833667,28.245477195921094,27.668373758417502,33.07976824864288,31.51401067122799,33.41168221611453,36.75363403625778,41.11320346975715,44.04711560120588,46.30437754768819,47.90656782615952,47.03706203798216,49.91547668385737,48.154140802074956,51.56183668238993,49.69929133565844,43.99800669670457,46.93939925330069,49.289227372582964,44.72294242824325,43.147206845745096,46.47479185241618,45.13971684699034,40.77904325185162,40.847040839182036,38.305694314160675,41.86799655696668,44.86534954739332,44.244989951427904,46.88609377935651,49.39817082089663,47.279952278062375,43.27210734210226,44.693248289012836,45.71167488701527,41.19984010051431,39.487097334308935,41.56400706847462,39.73286927944437,36.29194799029703,40.306518991356846,40.67429851517159,36.11854276470351,36.78776463957311,40.54814826893988,39.37230147414644,42.645654000467914,42.23984552321642,45.30361251098669,42.95537760273548,37.83267468161823,41.54015625634745,41.924139715513526,38.41199836479674,37.49508661689375,42.7374371603726,40.20901861478629,35.255242443283265,38.16303088498021,41.789337149574806,38.55028843579396,34.77689467515479,30.191218445641535,32.15745127787254,27.510399872170236,29.32476354543741,24.731652502635825,26.864933932543437,23.87780101665299,21.045912388467954,23.191680181974736,25.17217659180535,26.714059332796882,30.000457649513134,27.89513762618278,31.79876914073296,28.552716049765582,28.408749798847285,33.289996171351014,35.170078988165,35.439456023125565,30.47489352297945,30.512112171820945,32.89854004527385,29.982582583271068,25.948882199290427,29.42932404764994,31.18622056065872,31.01094178530244,32.241386647371925,34.00556965561003],[21.17400919569739,19.842944710166158,20.752755105906637,15.589704648861675,19.39239292026356,20.608254075068626,21.70523228095535,26.137080716907604,24.743191937112947,24.857536393646164,27.507010273134284,30.931575277774353,29.7108747489703,26.861459740318452,32.01128334050162,33.72209130020516,31.076185348386826,34.62351254798494,35.0652371035597,38.200097535460664,40.272247237884784,43.71818432845684,43.616365738466996,41.62825661999796,39.91616694461453,36.19872416209711,35.35788669687154,32.31737881988828,34.59174685495962,35.52794518917575,38.644337792709145,39.03085698665635,42.70417443433245,45.68615021475323,43.250071083963434,40.63587465579787,40.33877184770867,39.100295650921545,38.192854234572216,43.79750706120021,39.82284452766436,40.90877843456387,45.327142637494106,44.65008824406502,46.1855995924255,45.31354889403021,49.66266485235525,48.527266893339544,44.32512532732679,48.76459829014522,51.77534292161545,52.881224076759054,53.195027710408446,50.11535267738861,54.16013131668281,54.76969574417469,50.39104990518129,51.68847656757194,56.0030334875405,53.50034333955272,51.06396212017924,52.3936556088043,50.87119083347161,51.54878627004986,49.0976261199552,45.917159933770996,42.635136561972395,40.55347875833956,37.05974003548386,35.69699090729102,34.067758000517806,35.865599542851285,38.67344073247738,41.63381939697536,42.069653923103694,48.42204394998491,47.179957780120674,50.5959105884611,49.427876113966306,50.36748238812766,48.72619813259387,47.736422472736194,46.33412389419149,45.97984835301264,42.1651033528602,41.936556980877796,43.4476654359527,45.370031525709976,44.290655217009096,48.059126471894544,45.27761374444668,48.17021715103992,45.016835278807754,43.57864813791061,38.93002422555189,39.310392062603825,35.04556002886493,38.4602086477104,36.40347513758145,38.7705282516698,39.61300924167307,39.17799077430007,40.09082817755838,38.48175580211113,40.474953765801615,36.24714524889291,38.617606312849055,36.56311711129309,32.86581572192258,33.57739448170287,29.125386073572898,28.719933467770637,25.816165595923835,24.951051896579703,25.374645815613565,23.911609475110858,27.12081626567168,25.945605108459393,30.667048828785173,30.437992696419187,27.046184794697528,24.987179380653835,21.151985372810596,20.555297995054644,20.16503185125053,21.53495656899315,22.941890690966158,25.484021535282963,28.200760571831747,32.78114579660826,31.029304080081307,35.64147631866556,35.441924233553294,37.378199892732646,32.383074109787806,28.812375741380148,25.659336497017303,23.939430563501745,21.819869340477975,25.26032302832711,24.755532885682786,29.672869128082638,30.03469981711145,28.75304623319222,32.97309424902428,32.301280350105046,29.31966937467707,30.059303695677812,30.398894264063543,28.597896438157434,30.825504419099328,30.986851943289672,35.662492312941524,35.51289359971772,36.056087415293035,36.55576926457561,34.06712130269195,34.685008498296476,34.64027792175277,33.96378323444946,32.30034029575767,34.54888185991607,30.920008062782017,35.60950294157818,35.019642212647994,30.842687022623444,33.3833550103973,33.602934908823336,31.097039144671633,27.986748980926617,29.552027383831902,28.787637325836428,33.618525213826445,35.686306482393285,37.479475333533486,39.49922842679837,38.34927294095347,43.72153136058685,41.95235495305931,43.01600576864199,40.14929541171907,37.553079525542636,40.71660887107437,42.10837284242156,39.140704313671364,42.873442479313034,42.78586543128019,46.12466092577518,44.16351305055934,42.54895431101931,40.710631128005055,39.998012689251524,38.36873130426437,37.12610421609256,37.63804332593688,37.56003309421345,33.04428786436424,35.01059709182565,32.447464759751625,32.60603861271854,34.92125037406006,34.587798599467575,30.66772001977618,30.287508523285133,33.50986773312295,30.28052154938898,25.583201196415498,29.732012847955264,32.854957857706474,26.791573803863933,26.606301874069867,30.074860481580274,28.453430531720233,24.219243305469917,27.151104508172818,26.133906224563688,31.82447074309451,29.734262438577552,31.34646037399581,34.943262746105745,39.09041097293861,42.31571736661706,44.20745218498654,45.607703301604545,44.4059622182169,47.10192159700448,45.112683047006634,48.38974183393867,46.70910305376148,40.86901411958755,43.56941924471386,45.924782743266135,41.42972175400737,39.63727936847875,42.77215206007105,41.60026878635488,37.298064016575665,36.9492599909382,34.7101759769735,38.11824828722583,41.266828663594424,40.97975357255311,43.60191906031156,46.40746860112309,44.14623851123335,40.06097007473734,41.917307462040355,43.00965160236017,38.358152745822345,36.84318676657177,39.29796734809726,37.6027569209201,34.144668650131095,38.32676317745009,39.00189194578758,34.62851885836825,35.22899224557665,39.01498299505035,37.56421592731366,40.550425341193524,39.75964832355522,42.76831482514413,40.792183180978185,35.43922420456031,38.79425252652467,39.415789083030425,36.011941548403975,34.60099778742102,39.907674750621936,37.71275002560554,32.53239634710445,35.03272116876965,38.91636380455489,35.96988070593726,32.0595276025106,27.518439606293512,29.760847813113596,25.265925658208616,27.500646769332924,22.673416268258958,24.499295723210526,21.584457157830556,18.707696838662745,20.352652180000767,22.248515904145123,23.347370889936332,26.730488903105062,24.35290515840441,28.079470381504215,24.778526577314686,25.2463521552545,30.159717828928315,32.362672270314675,32.68367295596523,27.60272153196142,28.114405887755165,30.789043094102944,27.588647120838424,23.893377459133664,27.807337148494796,29.788518869639802,29.70631932758836,30.926744818283996,32.72788872114709],[22.548080355806416,21.383166481661224,22.36642261053503,16.838252135601568,20.47460738394767,20.70494424548735,21.231240368983098,25.427449946635797,23.30638491173774,23.003451908284216,25.261616346318295,28.94433144506469,27.813831708863308,24.456281948342603,29.464223247350084,31.46480367427356,28.913037352669946,32.22181955758805,32.571781688864355,36.02991036957426,37.97096885347617,41.66403625987963,41.43164189236683,39.596779309891154,38.06952245061025,34.15809821794788,33.60134138949715,30.499877374846356,32.61468234638357,33.664329620923816,36.15075333327878,37.02860890268264,40.491273383034155,43.347787251413244,41.17673829636994,38.539155495520454,38.65578624988396,37.445792018104584,36.83449397487993,42.709821444372444,38.70847739342972,39.22077467383283,43.71354749431115,43.41869135145316,44.99172313895678,44.45198382991432,48.780697209267345,47.496326641063824,43.60940421845272,48.29755647369017,51.1023046757999,52.264332026928486,52.276774269692126,49.18982520962388,53.03421958764562,53.444223558067414,48.954369373302,50.06647713665389,54.32876266688754,51.91328468758875,49.16306686646672,50.213550851421985,48.55897704740684,49.068397017833725,46.84191224989345,43.723673468456,40.06114499899896,37.96031763626263,34.19993611392274,32.725392130167194,30.94645219967323,32.46036142468543,35.46053588327901,38.56151348910504,39.22491103613603,45.56043167154908,44.68243637629279,48.10823729449864,47.22981051272134,48.41836369441733,47.04507146249904,46.396701790052504,45.20548039473124,45.16285893506909,41.30494745057717,40.7150196079495,41.845322955122555,43.71522901448414,42.22298545686304,45.80165871758705,42.74915033361535,45.356146512634325,42.20269721678382,40.90229390237861,36.32896146850042,36.47285970447237,32.2873337579394,36.160155640969414,34.39198184630041,37.12097936518024,37.986966817734206,38.17198071631413,38.967465097596964,37.95397097226197,40.32611407596566,36.336830352009876,39.141641945024084,37.417333032612085,33.84946378186994,34.07913616431135,29.58678317890026,28.678740466732,25.30872960932814,24.31637510420198,23.90188066335349,22.497388989637702,25.326852725274296,24.22336384790244,28.40226055066254,28.054763510732965,24.535972735497545,22.612700512564505,19.15075106225363,19.00322187005376,19.050399239911336,21.27477606741474,23.24961428149418,25.899868011744065,28.989100207638124,33.36841250656209,32.27548608748156,36.91586422584517,36.56085877556136,38.06078131314309,33.15257976523962,29.257430272845646,26.819317007544512,24.37177556905536,21.755695134855806,24.783503517208032,23.96035896764519,28.67377561221456,28.66088014858339,27.64241041695266,31.810362859976767,30.959650343801783,28.13271761504624,28.85394707115718,29.58869983778972,27.633482630235953,30.293705140860503,30.036552664550268,34.936126383900024,34.551588443334964,34.67229446947142,35.32425983637952,32.72088148408325,33.83080389187807,33.43193741705802,33.45193039274283,31.874837944111206,33.57246877074058,30.281545716264908,34.90603639572837,34.86827452625097,30.916343125222035,33.923856014994406,34.39168204554565,32.25159768920535,28.79338103516899,30.31734364049657,29.01552224169159,33.63242571121674,35.47292381665763,36.93291552138212,38.90554850143181,37.27946371322086,42.840577176292754,41.19576834393319,42.57120104074588,39.93174250452589,37.57853053026115,41.091216783693234,42.626399246192214,39.48214113590952,42.80803434424497,42.309983897394105,45.746591050863884,44.1476227331435,42.73672791964392,41.18486826284398,40.605662231476806,39.34030251894959,38.26716668650726,39.00257821947869,39.28484687830471,34.80363487940182,36.861955171889996,34.534556932712846,34.264861486097715,36.94731546102897,36.22155565908696,32.22760201216695,32.46493868762987,35.61545168642818,32.05250975498692,27.85762399674256,32.17138971701649,34.85275510109743,28.75370950232017,29.01469083801996,32.40718299229948,30.29523055760832,26.3921419643856,29.751876185937498,28.995662718921896,34.58001519906835,33.06124102476743,34.33482388819701,37.84948813158739,42.095458053024814,45.42600000074921,47.26619480641992,48.35550806010077,47.03539590303778,49.56678843959088,47.28455529001563,50.73578887015834,49.35403691647151,43.35428411115677,45.853183684190526,48.52233883625399,44.17713416570037,42.11493200624853,45.147219710511536,44.4099998635472,40.14799986222674,39.28533767665872,37.09506077723468,39.94529454043999,43.19918001962567,42.91752506892057,45.21178362143494,48.002167321696746,45.38326604044767,41.54502503271815,43.57026924625958,44.26241845254448,39.50305577624049,38.420543077170244,40.706735869392624,38.779457018318595,35.63895124473025,40.079157131098576,40.50468659075402,36.02924888654692,37.146000253482015,41.03968237498113,39.80691893254193,42.74016765963928,41.806573813719034,45.06606516793181,43.320588066539706,37.87580793195487,41.234526125764745,42.20353974268095,38.861695944048336,37.318232862212625,42.82981497486675,40.93504671480445,35.66627313077564,38.0140295170106,42.16646923689109,39.451223562494846,35.496427384216396,30.911660528654256,33.4942773009098,29.05099664844621,31.148399512963806,26.12827082462967,27.511943998728185,24.146009645676294,21.815141361545926,23.442543232921306,25.61407251128185,26.345156249058,29.45062984886213,26.42682485581619,29.856914193630228,26.03371436331764,26.619633014899513,31.137989767880132,33.485037620860595,33.22893233555386,28.286806930572194,29.255636885056063,31.48275516618669,27.74728891368628,24.644389494926617,28.73653198951807,30.18866710119286,29.795406555962803,30.868988904104654,32.49752635999903],[20.453037834615564,18.75438047992002,18.90134795918365,13.140379531121676,15.986137725680269,16.490232980862384,16.687698124890407,21.015613191936744,19.269444233012265,18.888228165676942,21.532084054490824,25.10615270929039,23.635785646686887,20.710476525862305,25.868350403122648,27.5568767733756,24.926336842823886,28.515583903188354,29.207951286107054,32.317736040932694,34.575537775714544,38.128276103496326,38.22366439424322,36.51154414976475,34.59677617384189,30.703292163456254,29.71503410090193,26.474364585803087,28.544214579335094,29.42961810281328,32.463301950612546,32.91304334062312,36.57962319738836,39.50977899153724,37.10503785531148,34.52029720520152,34.308353014273145,33.22125876951652,32.523659429578544,38.34194718716321,34.49385895199801,35.32816079683913,39.79558918659083,39.367426390554044,41.16255319271836,40.631142874856025,44.93564610258555,43.450802595971,39.45258818463607,44.18978350315365,46.90809671500554,47.89936549599124,48.00641254927457,44.75943053296488,48.64575688314378,49.289500677109125,44.853391055147156,45.91828398510035,50.28072443724589,48.00863989957601,45.4263009930172,46.54811560558417,44.89073216542328,45.7317679485319,43.37989185370121,40.05471964163972,36.81394792678024,34.54420095684722,31.177172390063777,29.682097208645946,28.21031351488339,30.21771322819889,32.78301013489399,35.7885721300442,36.01041906432308,42.373140250598105,41.11967690581659,44.46308812139751,43.3422046130451,44.40185380401808,42.7686135823713,41.99100993656164,40.60607639824612,40.502663829474116,36.73914150266679,36.20246233209522,37.5870838280061,39.37676020787692,38.2335560389238,41.89996886563268,39.114722647876654,42.03927198037118,38.87784506525188,37.438014147529344,32.79375109459119,33.284422943375915,29.02966784621858,32.41880538266733,30.477063932053696,33.14998081183389,33.714895725294824,33.65293973122587,34.35029912732662,33.174418711800826,35.43201714023534,31.44622973071161,34.287502081472766,32.59613839486141,29.103208582757507,29.277840827328106,24.818897292323598,23.786116905097497,20.513584183518464,19.47829227824207,19.39532405759398,18.072322628065507,21.215961616298667,20.41942288396867,25.065801648744674,24.460144942298836,21.09766442995905,18.87551051632412,15.21362006004671,14.564468549314261,14.356787339516709,16.384905878799294,18.44247797249388,21.01362874704034,24.166497400620507,28.49583440466608,27.593955361010966,32.22615502798475,31.90271829119838,33.23342274663847,28.43131725844551,24.458402709897154,22.235243599956664,19.719620905708776,17.237810251072364,20.32689724202778,20.175058357370734,25.056036339867124,24.8230466064229,23.438302201067742,27.5468404616973,26.560111722786623,23.61623268293567,24.229467483998437,24.81120025381755,22.983984690903505,25.644629820102963,25.739928335200094,30.637202845888822,30.76842572300032,30.80592910275275,31.09951359057249,28.376432914714822,29.231997938619244,28.85133237765483,28.62232193959751,27.028111320546795,28.922606000744214,25.691112722326388,30.35551775678076,30.390350877927613,26.708491801005067,29.58584870889693,30.399754726413175,28.173337763474677,24.601278004275105,25.868732299234626,24.432349607474343,28.950351916611645,30.696878512851434,32.157789219971846,34.089512338916236,32.60687348738359,38.107619960073265,36.474083062250614,37.7546487398869,35.1755219363522,32.689141526610335,36.2723183210794,37.9033464209142,34.806783097183214,38.22550635333671,37.86451155117692,41.3415138197108,39.895964925766314,38.52626673269085,36.95709561040585,36.315616063036686,35.00456164609496,33.830861853735726,34.53871246813242,34.916928895462746,30.42241319587057,32.448119111946134,30.27231993454221,29.7779406136369,32.728679482344184,31.89187247973055,27.840532236680605,28.46472618844882,31.709039340435602,28.10660191300301,24.17281663575004,28.716371707383296,31.341259403440954,25.41339040709857,26.045537529786834,29.58121435280625,27.41295501079766,23.86488533564276,27.585005813633284,26.632591080459395,32.25150520185129,30.759134334166188,31.525960659022836,35.11179097584456,39.216678656649286,42.80541663241287,44.326192510092035,45.05603097037765,43.46708965367433,45.77943312066327,43.23098536534377,46.70556604340094,45.601069944664005,39.46999289087241,41.73647337560104,44.6152714455529,40.43172181701194,38.118524985945385,41.04239658891675,40.705231693321714,36.50602076471478,35.19880358065057,33.048046350788155,35.5025642729838,38.828373773326646,38.66658066753071,40.79891675602944,43.71915066867714,40.9183112526158,37.13710888163418,39.457261374805185,40.061009220864335,35.209594213614615,34.40149516115411,36.87967158085188,35.005576718739306,31.980678760343935,36.59331867238308,37.17708790306208,32.87949818189162,34.10144377306872,38.011026536016566,36.666065130820016,39.3233034876642,38.06039346136247,41.37921732742949,40.02349390118067,34.426086610937126,37.53083073503531,38.852744876328195,35.657963478020996,33.756870417989596,39.40370601334718,37.957459887978814,32.55679902505426,34.575270024980746,39.04795998154002,36.73726347430187,32.727349410597874,28.187116444614563,31.311913340232167,27.110236529116627,29.191117591122993,23.951394923161626,24.67300324163206,21.144940074094396,19.311929893193714,20.5330271869822,22.900450346473857,23.05835347350525,25.84501850188659,22.303377660702164,25.460360560264608,21.415486154694122,22.32608315548063,26.680583610401207,29.252323924453222,28.898438114667893,23.946323895666687,25.37804851238288,27.69223283707589,23.678619273863504,21.02934208674883,25.470427711105877,26.994043629908834,26.65532969346862,27.702635244467793,29.35200976976841],[17.289526942890337,16.109646688794538,17.072251699702583,11.54735401867315,15.478464190969556,14.047398259064046,14.713034572922517,18.608205239087724,16.376444411424764,16.890963700569042,19.170013411118024,22.427502713514492,22.095268160601098,19.198925484230816,24.21801281277293,26.17416440966594,24.395446944736605,28.2533253357549,29.769852567621733,32.875975871847736,35.5089913831143,39.283000388510594,39.681597344484935,38.417558427517086,36.27742712415845,32.13796712525937,30.870489268530957,27.205074120116798,28.514726390236305,28.729699935673704,31.305468633137036,31.481445342647806,34.812456605764595,38.15752871009482,36.12451423438233,34.04505036624343,33.692211976176985,33.560347776096705,33.29484131308849,39.33676456011971,35.8981429928622,36.50358176164498,40.98957417682543,40.88533399717769,43.099483897031696,42.931433397774214,47.1355083076485,45.18270958705752,41.35906322848125,46.33750150207468,48.69655436617803,49.37727184437327,49.35146841972605,45.728894402157955,49.37926738245256,50.33235529235585,45.88166924443048,46.43890582404701,50.93788815969202,49.18937804643831,46.40168000331054,47.03974435068625,44.98994548917732,46.21122297915861,44.18271054910552,40.564537932462684,37.30839590177823,34.515535147534,31.29971511035421,29.108509997844045,27.96004291839886,29.856394712105622,32.1261902667971,35.64692642657132,35.45273957273291,41.813977178603025,40.8983801487335,43.84756579603569,43.01774189191759,44.490726950528014,42.62608630860447,42.300803374369,40.48800000492893,40.85573396629652,37.486657861691846,36.42008674675319,37.867362972703,38.97154253764218,38.052771314423445,41.055975485011274,38.25953585747642,40.98046669209375,37.49710479970957,35.706905194248726,31.0134341508719,31.09808791285699,26.788731820235935,30.178251160175833,28.046115827102994,30.272957985690397,31.71644186628281,31.6401920282438,33.053202312695575,31.932344919263564,34.9848305918175,30.845792663237567,33.73847433386899,32.54318288579711,28.793338654447595,28.43209467357904,23.869563420145123,23.29810106769032,19.462594109941424,19.437233990757296,19.07108885014606,18.763822566743844,21.896293089712373,22.08035273773398,26.371081988756096,24.82748257681955,21.567721867033306,18.832513437224325,16.154331835679166,14.913673028686366,13.801650949903694,16.93750432824283,17.782903940403674,21.15956794501306,24.350872533090488,28.77937114487973,28.465133303982547,32.970074805962966,33.21112852426119,33.961317320643936,29.763565855159687,25.608922157082553,23.896519648689765,21.586399942170182,19.45332253153785,22.27309986727604,23.007066912729215,27.766359590734496,26.81404899534464,25.13347554704977,28.909711466562413,27.199707821733117,24.23782199959882,23.960974995077663,24.217500867155245,21.564952676850027,23.848807536806763,23.087023665730666,27.903908505074067,27.21948205592259,27.511847692542233,28.42044423925854,26.163983742717928,27.399986410558924,27.51297979105457,27.79745132506304,27.2226157209545,29.204836536608365,26.91784027912302,31.506535895355047,32.23716012143787,29.27084104306039,31.982006977125806,33.37371149242924,31.008910987513392,27.363420157725812,28.09877443211456,26.331028401087018,30.367132392730756,31.555036400769904,32.545148619887364,33.90879213202469,32.102366035993,37.63665261126036,36.67258951598157,37.91357117602421,36.034063538744334,32.969175441285586,37.132615020702445,39.1788378408974,36.26499139248264,39.7359186093194,39.413051820041595,43.016908898537096,42.11339567930629,40.932247226348366,39.44068502274981,38.67958006086314,37.308148197815015,35.86976247525535,36.348168764546514,36.61848998609375,31.98510267441996,33.489508252058776,31.022611761274206,29.885229025224575,32.594538290366636,31.123320139849078,27.237940162335203,28.201549865304933,30.88852025105215,26.818515842491475,23.601573238610882,27.891428471705485,29.67786644341772,23.668061146413066,24.644978580302357,27.80318167417672,25.013010820108665,21.81329818307825,25.869123528849354,25.54380496290147,30.75935192790973,30.52237963619338,30.964498816209243,34.17872652852109,38.590430023364576,42.07473902500906,43.82546658323482,44.29170961996195,42.91967419375876,45.24000481710362,42.66206725248389,46.528272232315224,45.54908099969828,39.428419419923095,41.82150675957771,45.117482147318334,41.04851974155863,38.7400408817283,41.91898726998754,41.94893709432381,37.695374598602186,36.52324498830321,33.73405955829392,35.82104975279174,38.933735754067655,38.199253690582424,40.04239466591052,42.51246561884801,39.64117495285792,36.176580433796765,38.03220285324781,38.22229254701499,33.48039579733486,32.767873405790596,34.68550232004081,32.5005865696779,29.75572342278279,34.43294432428811,34.539590391718775,30.034096899615243,31.78361706513335,35.76676658931719,34.869664681216626,37.70008704289246,36.674727015439046,40.31677883114296,38.85738062664582,33.406668876380905,36.90534673706802,38.40011904296525,35.190708177409434,33.71844372805711,39.561075673442794,38.19845243955315,32.957678857898095,35.321940627591786,39.876030935494725,37.63068090420296,33.73503979898273,29.05792306356635,32.629170845691185,28.38808088454907,29.656711397480276,24.298846882056786,24.530555407295996,20.35616162728098,19.4381515326122,21.167257002999474,24.14328880130223,24.355438610060133,26.46010588255228,22.61778056530543,25.765887822111885,21.47670269848829,21.321954464519248,25.288859305631796,27.482000507835167,26.709214851278816,22.01094457882332,23.14773209586645,24.84131272827939,20.84962241365955,18.173449751295923,22.368454632951252,23.367690015620113,22.801477609027483,23.840709327104324,25.457378420455335],[18.117926308544607,16.578683298293537,16.577750777313874,11.199332842033103,13.576361444653442,11.398860534291675,10.940773868818999,14.624267473641494,12.098964411522932,12.186708912475929,14.604046576911434,17.94447933308497,17.362414730799646,14.595278090193647,19.666470980456637,21.497433675445635,19.811370253026382,23.81203652010131,25.715429580069863,28.624703167333063,31.498521740316928,35.26154265828627,35.91832984397075,34.921426070425916,32.53782213009157,28.344457966206956,26.818076233229068,22.977828205528375,24.00078042300249,24.040221119117742,26.71627717604254,26.75677693730158,30.1442293198265,33.495128428041184,31.417906609782957,29.417164887539357,29.001658349086668,29.100764868768373,28.999304541875404,35.11947804709973,31.891381907407332,32.402039481021276,36.86153827536574,36.901597921113336,39.35291238020685,39.42995669965958,43.537737731394365,41.29874441410462,37.63265642000036,42.76662466504535,44.86912853145236,45.409069303765854,45.27093592866725,41.49949775725889,45.021784985605976,46.076419597443035,41.636246992554106,41.99733426005703,46.54078285759253,45.01801175558574,42.201795086482996,42.70369306459328,40.55935236815399,42.01250478673524,40.03324950280131,36.260925862120445,33.21446339872964,30.22038378610838,27.295400176305012,24.968253785984988,24.10939234583261,26.32019453527204,28.188301075744448,31.697263244675334,31.158805019520674,37.50449808322317,36.45855195509904,39.301145101310105,38.43015344372338,39.952051642373966,38.00390461935103,37.80642601593195,35.93448321813307,36.48317522571133,33.232820709051545,31.93521212920994,33.36824384106924,34.30518361517248,33.477664640963106,36.39829208778117,33.70297267418973,36.55052300343832,33.05637629388274,31.20043594413075,26.480812402270296,26.773965811767265,22.43996305423592,25.613138913704606,23.490181242708836,25.94715229658117,27.081368124747524,27.225477723561042,28.458558472666493,27.64187793582923,30.880432647262406,26.971922014785104,30.20978196157026,29.3351803326164,25.837938184358745,25.01937310922183,20.560146590694185,19.456690296239085,15.326788042418448,15.301605032868673,14.53387763916161,14.63700213889546,17.715302448507803,18.49288400309156,22.67923804024167,20.66475346447175,17.601356015585534,14.5833597693176,12.370886412731585,10.746063385990624,9.457926447009163,13.34416949982785,14.554932284567572,17.872630776828373,21.319860361032354,25.406508274402732,25.83225935839256,30.219665541939033,30.39073568893169,30.61813379365515,26.72298206465237,22.369234957339184,21.541189549114115,18.777695642208954,16.619330232046277,18.949429877384812,20.25067054017171,24.779325265236793,23.293460243107948,21.43437995921007,24.948918995398063,22.90312762656362,19.99218866564437,19.44233407524958,19.808170710391845,17.096643819827833,19.73180380734911,18.973928271857773,23.979222793786438,23.715274399587287,23.531616045646114,24.143864914788402,21.655283014553557,23.034582174400224,22.899334654513673,23.52103102030619,23.098138939146985,24.83813774326786,23.033717233238402,27.500858503834046,28.748424524950334,26.35753371037671,29.155822371399662,31.025316894231345,28.892021249431988,25.055959603630594,25.44554234717576,23.201917991772017,26.801691525287296,27.650693996022486,28.33751810746191,29.567268461738404,27.53994741038403,33.12473942350286,32.306582293400936,33.66654289774547,32.07455316376601,29.06343675053227,33.523698403177434,35.75112369055596,32.81625922148147,36.039270897111784,35.57353727223294,39.24161049337089,38.760968531576225,37.785129262525885,36.49905376115417,35.76749644398169,34.62932204257718,33.238060227361956,33.8233151698039,34.41930834768864,29.918060253570914,31.407576293815783,29.318999232274038,27.690002264807895,30.857194133310784,29.037903369904754,25.148460997333633,26.921510070599425,29.579868446243644,25.369335593837214,22.904820710337173,27.354377298645105,28.75785540389801,23.12909482620861,24.722197039087092,27.860796714441694,24.82875038172757,22.35274813804842,26.793895328362463,26.411287661685336,31.433979540410846,31.46165603138362,31.265834456107893,34.43223115040489,38.65556763115019,42.373921837942916,43.76482579942269,43.718253225945716,42.024625260227765,43.99657322285882,41.00661700213286,44.940654429000006,44.42342243323982,38.17448108301156,40.165998933475954,43.7951422517434,40.03322017047143,37.36185249033207,40.30481577693895,40.96351799292714,36.87902754962409,34.99615375901392,32.35982906466062,33.642022782358225,36.84254749071921,36.25765075529885,37.6875055797284,40.25939792278307,36.982777892602854,33.80101670467659,36.062574060641936,35.88343907640654,31.03207886414793,30.943323937289474,32.91967938098599,30.67185651534953,28.33986797521219,33.27028515396191,33.38503526046095,29.107392486580242,31.253450407078304,35.22764471746371,34.35775007106428,36.81331901894765,35.372669477105575,39.16203602646091,38.26150290649603,32.71401335438724,35.87035161433492,37.88517709260411,34.92299521870962,33.04580741095651,39.001650875936896,38.25087425340539,32.955154514841276,34.84794149653049,39.746166953249215,38.03000355088317,34.145278633642384,29.633737456859357,33.695712590430894,29.804096690323448,31.027514497444944,25.60118505354335,25.041158154570624,20.715420150914287,20.584233697011236,21.809211946029226,24.89780594684136,24.40479059241675,25.970428281589466,21.394359502711012,23.89697274753564,19.171671284508214,19.4268659597544,22.713446360088664,25.208036010417235,23.866022773320793,19.41348909138291,21.42976294237113,22.797356646241138,18.12011233041182,16.67887566698768,21.21797140146991,21.830640498306344,21.082988759626055,21.920471264508905,23.358999326850107],[14.194672839010623,13.031745488776496,13.7433273626853,9.101214691988451,12.663088246520482,8.988353602294819,9.91352030589905,13.190645209509025,11.037721868551657,12.859644349227928,15.11940288848895,17.608891327229653,18.250044908661767,16.228858447037666,20.975025299864257,22.72165283938565,21.84773653161697,26.130568446119003,28.724332070483893,31.318760783976895,34.52931929709984,38.229376920062876,39.20201026598244,38.44205786886428,35.80007100850611,31.630210608371,29.717903219184144,25.69016891547473,26.16475044442438,25.481652099239064,28.198024740047504,27.52688604108586,30.69375520077524,34.502904212260546,32.59428805143748,31.13170970620486,30.23437595192235,31.187181197165884,31.22041214062025,37.218274076213426,34.40255807997028,35.15909316872452,39.5146999975299,39.532939575183185,42.26852944482386,42.38941523475711,46.40237418817413,43.91137996779468,40.184466478159784,45.290801217376426,47.23315894718061,47.46343427360909,47.44103956732046,43.380058411722324,46.821071658921134,48.29099197651075,43.964141244934524,44.02446031259335,48.68496889765732,47.557301409767696,44.82895818815043,45.125706394721256,42.76962902950267,44.651651993363004,42.801281344859056,38.7914388477903,36.060480068916995,32.708733794037556,30.17165498276155,27.418931265868068,26.960326888460067,29.185943495890378,30.640829528070856,34.3991819725822,33.35880097678292,39.59481783700298,38.58839270194461,41.02893706768942,40.20376338135242,41.87781197726556,39.530727152530034,39.4682005513532,37.04876870752559,37.76879478241548,34.95389172858873,33.4968193548944,35.28070073248924,35.61878833430777,35.354592405311905,37.77333914578357,35.33550377122912,38.17273969204541,34.44323128576564,32.174254300070544,27.454827182309245,27.542025059630333,23.220206897665193,25.856872205653065,23.293949226280358,24.83632726563985,26.893369859538005,26.40966787520293,28.504607147219293,27.19266217950907,30.874951165750243,26.632662994413906,29.51450275950438,28.87405215288567,25.02743723798274,24.06364732291563,19.566130697158982,19.475296525928034,15.327670741627205,16.539936951246283,16.407136435851676,17.350270795395275,20.578283434205986,21.974508286682013,26.163365618543448,23.614851439452806,20.866303400438664,17.545946021131847,15.927485061078968,13.63668668360239,11.177922962822352,14.88097977523883,14.163214822168895,18.159290669735583,21.239885600409654,25.54825840181179,26.001627232620525,30.206045631466594,31.037502224060407,31.06347742675388,27.70622713259725,23.518283585955768,22.57773954137498,20.640227835034224,19.22219200896263,21.63720107067338,23.75271849584392,28.282784882237774,26.608490764641857,24.381013125002493,27.59120315245982,25.14483583232101,22.179923512103468,20.842614052917188,20.474625796695378,17.11332558497795,18.772197332964634,17.451835839328325,22.091324360553905,21.11826925356264,21.685268955760538,22.8429792961329,21.048210912508477,22.320429387881475,23.09102985122601,23.55821089339507,24.10124833510422,26.385578381514634,25.172888159280827,29.537932599626874,30.90880570309728,28.946476468579203,31.22618875795796,33.362809015346826,30.86587583790103,27.256957596805396,27.241476638424952,25.179494966863743,28.484794375980222,29.00891512199181,29.53441398890388,30.23996703817759,28.357440876700238,33.719895541812804,33.448501906620656,34.4870189683292,33.37732307102492,29.647290866657105,34.32276721073166,36.802243172214496,34.19836581415958,37.763239863856185,37.659788753715695,41.32585613030603,41.03001865454189,40.0638360080856,38.63968971563608,37.704730628419746,36.25137324461622,34.51242930465961,34.72042326767544,34.94789152532877,30.320956025099186,31.23805257981895,28.711979394099767,26.761259765620576,29.403049471677875,27.219206790279816,23.572147598292013,25.25634330043533,27.381503825514955,22.91755183802299,20.908322224275643,24.96970964010432,25.77700641904868,20.109804420906197,21.830559898042967,24.619448548882946,21.235409545957232,19.01052093191333,23.567432440107094,23.648700242696123,28.278463569751725,29.225054128538712,28.84778460800485,31.679554429547398,36.113343066081015,39.67535625617431,41.2912954295988,41.16083378471526,39.74503960413509,41.822608835669016,38.99690137170087,43.19350120536346,42.606387794227345,36.483173395187755,38.725466456675974,42.54265083274822,38.80924298503087,36.32437121399014,39.57072932702584,40.29487714891621,36.15440722349258,34.738007437243695,31.46982135253596,32.772292311253096,35.67450512626769,34.5153597346575,35.88956948219672,38.01886859435757,34.93559216688214,31.889927557745715,33.55289119879717,33.24248420492891,28.574645182040694,28.26429969615775,29.78767562088343,27.372665429634463,25.09925100527809,29.948387187007302,29.751931603181134,25.314882926370164,27.686777232738596,31.677529630169346,31.11126592628016,33.759131651007465,32.63677579014802,36.58692880449115,35.4535295951534,30.111551149878782,33.64100439819285,35.61739912328622,32.62366913786859,31.240213315955426,37.23821300264645,36.41388349015848,31.35448652759492,33.63875984759337,38.436551360852484,36.681917576362196,32.9602802126496,28.399957340416204,32.686301820060415,28.81686005296946,29.335584174118395,23.9742604467317,23.09785963108136,18.431835877805714,19.010091791315716,20.644926519755824,24.112114814360858,23.83302502485337,24.8645897119274,20.442163340563134,23.112220181245412,18.597215099765805,17.595648486708317,20.74923223728829,22.708978867930238,21.37756953073645,17.078656423071017,18.396174159766275,19.423681915639794,15.179845488744132,13.186679489291908,17.396112563157004,17.83674480514627,17.08845987330375,18.096430022748176,19.703965606299175],[16.294198951394876,15.5590531138439,16.125248586850084,12.674199962529178,15.029010226307712,9.620440962035268,9.521039964637653,11.075804051558288,7.666213468440812,10.131049269463727,11.44747869203859,13.467307928434737,15.338114003465199,13.485879988558759,17.575744782410464,19.518259511205443,19.635903827691383,23.846672098936207,27.134211789639593,29.614890173583486,33.043002352811094,36.8610731382768,38.08867207883967,37.829032106522824,35.080564305982165,30.815535494351444,28.786674707198443,24.57557824153608,24.20213906908857,22.933028726877705,24.90295156146626,24.135149057088153,26.841517781214684,30.87427829351378,29.414059199394302,28.45217145468442,27.62416879671514,29.43050277247961,29.995714739642544,36.08465877553583,33.7285283853555,34.01219741360956,38.25891121469235,38.72165295386981,41.77642003067049,42.367955107629044,46.17586035036464,43.256955026229456,39.94602313611756,45.25268866267636,46.72760220337105,46.720806046353665,46.425159769563905,42.13428636573719,45.19386938883271,46.79825338269093,42.50408831391129,42.04041517335308,46.70759479773852,46.0990694352337,43.14370410881443,42.91943186696464,40.22900699434349,42.40263108954422,40.92823614100642,36.756681366269866,34.06297274056901,30.31724911254433,28.075512329925587,24.77811350099915,24.742923874165882,26.8660400152106,27.828083464045275,31.892173130566253,30.4361541269618,36.49000256526824,35.827817166407314,37.86043511991474,37.36773666378182,39.44207063815917,37.05229026410276,37.54272212387417,34.95063945420409,36.23330495200147,33.81867496739372,31.746831620347784,33.33113377000001,33.02936430323596,32.811388140033706,34.524644172216604,32.08114747692942,34.65544188135437,30.736152665557665,28.227811865105014,23.602901314243617,23.349429238858846,19.12775686688191,21.705383770188572,19.159346578885412,20.559900201083536,23.237705362862314,23.255574508159317,25.7311865202228,25.0451627418525,29.50965532272894,25.625286555338967,28.84038249664194,28.91925206695346,25.347984951315215,23.54637255361601,19.388294259825535,19.0531158192068,14.488119272587923,16.362246317954384,15.352128515529312,17.271650884436127,19.895880567369346,22.1598221434348,25.532320002019603,22.19024629077501,19.84370451037061,16.3986445479082,16.220360861922686,13.922486545742485,11.39021881870831,15.920022320921213,14.93783886656803,18.925418213970964,22.030639946249995,25.77024908662838,27.25531767643679,31.110263817525002,32.09521186613978,31.316095467803652,28.671274702413484,24.40754239356488,24.562004366448072,22.352454870191355,21.012935162869816,22.65889898276177,25.1728021048864,29.18572393480151,26.810313973722614,24.579772835098687,27.213749280142874,24.170048264407892,21.524277426365316,19.4321481999724,19.08552536453966,15.141188407744188,16.753589669210672,14.295136772986103,18.91565062134845,17.275721140114886,17.439643239674773,19.10471917846801,17.637802719942812,19.639012067030368,20.468484718305177,21.974667206028997,23.41688615947216,25.19906699773812,25.13936278783396,29.10203148338705,31.339749308275557,30.218971609422532,32.55649113581589,35.199501096610646,32.99310983458206,29.28911706330825,28.866731139186424,26.304941947817795,28.83099663928445,28.70036782982255,28.554883185225847,28.721643726270703,26.296659458190135,31.609372781648325,31.979420367516067,33.1767333138569,32.839157666698966,29.04769751854055,34.226331015450704,37.024232743789426,34.52174981476098,37.67579754538735,37.335773598177,41.04836001829922,41.44508276457974,40.790832256235795,39.67130431976232,38.77545926421144,37.610480410394246,35.89987631236168,36.14036181918585,36.62604227854397,32.195426092652454,32.85898081864392,30.60614457215118,27.981842324753938,30.766303720792465,27.95315018620141,24.606862465198063,27.100461530691355,28.744501012721845,24.05913347606216,23.270698512173773,27.04586394895388,26.90987182607583,21.83734117481195,24.14090012756607,26.469973970269177,22.599640560414542,21.364656499516112,26.0911527937894,26.552024099517403,30.57631155884568,32.414770927053695,31.48585226414101,33.95404257974939,38.32206664866171,41.8843119197592,43.37076729980919,42.71052005021063,41.223759644212116,42.98869946222139,39.86529749350168,44.27985069508885,44.15128944469917,38.07047444962011,40.00583397893761,44.24431378922316,40.88353927600931,38.17961800942845,41.287139926555554,42.65603071486457,38.703968570832984,36.840315201996134,33.498858871609,33.895791276791506,36.66999143208005,35.319669602790185,36.08208808757171,37.920786371385766,34.464939061902534,32.0318494564732,33.664292452011324,32.661218464242694,28.13230810935787,28.521691044822933,29.545074350960526,26.85468909788088,25.348845041616805,30.277069868334348,29.64784074080671,25.383801988763416,28.49275172664016,32.389250674597044,32.23726726020672,34.63976835428974,33.39459240489802,37.59032581913577,36.851732568164465,31.712609046112888,35.12081138627013,37.54191975253129,34.80386105689935,33.42680248587751,39.4428048544961,39.10252297124956,34.22750494020317,36.29511331940681,41.24900132958378,39.897753713747875,36.318891624243754,31.929022202758073,36.539460222069216,32.922827819500384,33.08879673802235,27.832421270585947,26.352364052404074,21.556883137258147,22.948202613839257,24.436408238233494,28.020565973729962,27.380334234123637,27.761183869854285,22.92924569984658,24.914345972307327,20.219806211226913,18.97592971543773,20.88674985898485,22.68402862025018,20.39215096245274,16.98022786584908,18.793004727719147,18.701692835725524,14.010360015088942,13.709155487113069,17.467190403591246,16.732241210923068,15.440666660502695,16.038274038054738,17.211935255983885],[13.208970981688905,12.709921224912321,13.569607113891388,11.33907726461459,14.04385663776036,7.937706964875872,9.27013094446441,10.348966501459534,8.371184878479127,12.173228429460403,13.648649179527437,14.633365062021833,17.079030197687775,16.205813120104537,19.9848364419357,21.537674198236544,22.01033102009209,26.412731025648036,30.03485242016276,32.12137122943011,35.77611647358682,39.38999876648327,40.865687700027486,40.65949581341084,37.674034249051125,33.54736433792369,31.16551999864386,26.9378778111462,26.384912478352764,24.65636909843502,27.057834976581006,25.510750592858702,28.16180740661017,32.484062707754994,30.971328687799303,30.373515779011058,28.987686161017397,31.275879760011513,31.744723497095038,37.561340526542665,35.49950421554279,36.23208821203727,40.34888004837255,40.600134583233654,43.81010537153718,44.2812317154962,48.02616120627044,45.01022174442589,41.52929903954317,46.69683516325304,48.13999848822499,47.89466399964411,47.81301925084106,43.34829834052423,46.434795375256144,48.41145251517827,44.27012088272048,43.71170154058684,48.45488317186075,48.062597441379054,45.34491328679829,45.15074249547402,42.429845499336444,44.946146739670695,43.427718611231704,39.1103987993639,36.85335143310937,32.975192867789175,31.138226520888328,27.788053087190995,28.02974262632913,30.300680407758122,30.934737568309593,34.95147443769231,33.107276739994774,39.01312624249751,38.14343961538684,39.9033661240541,39.25864009844816,41.25469764922869,38.47261273395864,38.85224604595413,35.8018459150931,37.02606808511066,34.947491236789745,32.98163785210042,34.9919095584347,34.34263533765151,34.740841684221266,36.24393362174396,34.18179300130318,36.903480472977556,32.924481356691864,30.1313073946557,25.591742144606613,25.42335138750317,21.344376223774116,23.067857521295974,20.085748054619692,20.448867184841973,23.705761914538133,22.809186516383143,25.957877739940283,24.556365708656845,29.109434767138264,24.91062823895447,27.641546803339615,27.79722645873876,23.965501089327418,22.214430414316386,18.13169814650656,18.804716268038625,14.637298827554787,17.345820316694002,17.282784580966634,19.49041550846289,22.385448232757753,24.840510347229642,28.517474625281448,25.07136912097003,22.971088720349837,19.420998292272653,19.127348751800294,16.36121550968534,13.155021450034523,16.905223574820496,14.423681335443614,18.71748421585674,21.348111590396073,25.239399561656132,26.553752758686496,30.203443326830065,31.719700661903616,30.915898889284403,28.677968218739114,24.689930172162622,24.586160916235826,23.16517399924886,22.461733826042654,24.307435897154072,27.403736625271605,31.51188783769887,29.21261702963968,26.661560443334956,29.134788101817463,25.992835239457758,23.265998067605395,20.773518736287837,19.710640011621614,15.560030404523113,16.04138680056431,13.46896228608351,17.479781107977217,15.433573538461241,16.605407250641516,18.53580328660343,17.7592195151413,19.24863090082325,20.97991619413719,21.900258481148743,23.964537759175254,26.372758697497506,26.512039106730278,30.40296345652499,32.46728560389742,31.562449644349567,33.38236792535626,36.14064587724741,33.60126651303016,30.166980573350905,29.46557106956614,27.210668881305622,29.587254572471316,29.325149142471737,29.22348072165435,29.044791413127285,27.022041438641487,31.99719579615672,32.67842222187025,33.48483231156196,33.388978685613196,29.01360982914162,34.16833684632582,37.083272469911115,34.899741104597545,38.42846268139844,38.510169933433225,42.162664355885326,42.54928178845201,41.833110859451295,40.529355405001695,39.44890292647659,37.95941273679921,35.95984301963747,35.86175042313546,35.99259188577029,31.513297782977226,31.70873936962138,29.126193699260508,26.33690348818491,28.622369880787627,25.60127331058288,22.524326645057208,24.86694291128635,26.058578594381142,21.28226540758378,20.937300470760047,24.29701472202341,23.68576532046388,18.761060973273374,21.17818103236362,23.178604049210062,19.12116988543271,18.280407944364438,22.99896157525749,23.752614511298333,27.36052832181356,29.83763101591415,28.700790744352506,30.880542451129475,35.312309394976175,38.752191465784485,40.34432438543568,39.60705608399935,38.31805325218431,40.1491474950149,37.188863424921344,41.752298759345884,41.551732308460075,35.624835501289105,37.74348395787955,42.06472921935493,38.75173697271796,36.229088918961224,39.54520069446879,40.927122073230755,36.980787673514776,35.52012031254691,31.731569991430504,32.18815148714502,34.686264041487185,32.90527082633673,33.67129069934621,35.170956630053844,31.953703260317205,29.58425086270221,30.721528282791713,29.70076240448405,25.35114393895823,25.497000084862957,26.20194039959163,23.434519636649785,21.950452938653612,26.772189873382885,25.9686585513611,21.644946479519437,24.874924933759807,28.74316376203654,28.77912756234402,31.26803057720958,30.25039180659518,34.514086157286826,33.629913714617416,28.69364442290571,32.314113857646774,34.69167992780373,31.983871016920094,30.969293213680608,36.933209007003896,36.58085986815405,31.954068863523872,34.248265130645116,39.07370938667942,37.75526982642266,34.35730498837152,30.04434901576959,34.78699001211798,31.32094574418046,30.962541695689048,25.893954689912057,24.096051859685915,19.235015141185034,21.235679935505967,22.866916311821104,26.608586253718958,26.071594258388732,25.983389760527253,21.40723327481127,23.44723326498005,19.129550694046415,16.902774460886576,18.641889783075428,19.927661510707548,17.792359164677713,14.573763796638236,15.68907834404317,15.329789004196885,11.201209498436434,10.454332791899251,13.8014404710421,12.970184047000267,11.748063972058777,12.615237756806245,14.116378426674947],[15.043141947342706,15.367275149927002,16.896310530802506,15.243801653802947,18.105899638147335,11.798788903303237,12.860516899225765,12.819929028428632,10.253328349207784,14.082469649198547,14.490698228019891,14.915354493197071,18.53490670842582,17.553144624770052,20.591164013918505,22.43240741944922,23.651807543546038,27.782943216516482,31.673299776997837,33.853219733276504,37.499480479097905,41.25912786043328,42.765162116526135,42.838694194931605,39.94312580299524,35.73197737190615,33.47360286194111,29.20853824622328,28.162243283127783,26.133051518524844,27.615896502575538,26.20433143075299,28.241538563173034,32.69736254407784,31.733216266860428,31.551589839023535,30.369837313119323,33.210241509402955,34.05907685548478,39.92367988764593,38.10312366802074,38.4077026407437,42.45641546946081,43.05275130089676,46.38500085144187,47.14413337662258,50.77919903548771,47.55909528149037,44.37374914976112,49.64636465557667,50.8254749198442,50.47198793554801,50.1838787714065,45.62188270720091,48.41148924701514,50.41459318648403,46.292723480805705,45.3656687849879,50.05877698352815,50.00720015773308,47.06365856736846,46.441265813561955,43.46186780152036,46.05780289073314,44.89332350496355,40.55862311401966,38.13674357086627,34.05978410633391,32.24314041594451,28.509382039361153,28.890175607906034,30.787699958995418,31.279825350004067,35.59257795020737,33.65491433277006,39.345534717093436,38.96984683856752,40.39491649608197,40.15548705085527,42.52284972002668,39.816196821583596,40.6622404327496,37.550554065685155,39.189199909970846,37.38298783883024,35.00615423000424,36.77060071050024,35.6564231211873,35.96374896127201,36.80456513865341,34.644178201772654,36.930288323904435,32.807597558478825,29.87528865480527,25.566762183062487,24.820471529538416,21.01345471079295,22.868043444668327,20.05582000785779,19.996112717158713,24.15841306390874,23.686832130461852,27.26714048621212,26.33777541516971,31.415441275353093,27.47861293382965,30.24349861554567,30.830074809444753,27.129572961667854,24.989664118766896,21.235739314268915,21.938241430305208,17.724976917541714,20.618545929430248,19.966124081941935,22.47484551936038,24.931509469005242,27.645583897095243,30.721288268856316,26.939164119968815,24.97195281806945,21.52949952272932,21.92318796263441,19.45215182128266,16.53620414229799,20.624464791301147,18.172290962275614,22.377818108766178,24.92004937570693,28.520896173710245,30.220750664148525,33.65797680912131,35.309806981033375,34.15524886283246,32.289104189278,28.31674035980573,28.555249362095118,27.03276274369031,26.234771299799764,27.806208755571177,30.80507652061867,34.6947161198447,32.11042160743374,29.70411739185857,31.92912258993285,28.531216820156537,26.049470781011195,23.257662892599953,22.294281115183047,17.917128422143467,18.181364632608762,14.649142365079609,18.10434740264849,14.739564178428267,15.978379118654912,18.803753400697264,18.672629861645717,20.74469337981827,22.593148261742126,24.255397994510886,26.864883289041295,28.891944624144354,29.629527403210897,33.28305051369658,35.77754415422617,35.17111355215412,37.07707082535863,39.973621884234085,37.552836307258495,34.078057419202565,33.29400375504523,30.862080129597476,32.92108618721218,32.346769577730456,31.85935911811346,31.32325097604823,28.943119735494,33.782282164824444,34.942988339304826,35.84250887952975,36.23852894119373,31.859670778805526,37.232569645599376,40.295651348292715,38.18918153060093,41.47697391714928,41.394375377639896,45.0536983034461,45.791711385790805,45.22695504398055,44.07660901440276,43.02494413646973,41.66385898709006,39.67896803324655,39.569864859982644,39.74149069583639,35.34226067719436,35.356603520852694,32.77676240922591,29.749372435686073,31.82932362462243,28.502807616703354,25.748794279717117,28.208946033598394,28.950422535724265,24.13052468671097,24.341237308338865,27.28795099794473,26.01592611780196,21.44879659819797,23.909232772539152,25.405169835925985,21.056617295507685,20.660403619195076,25.20079286995973,26.433567547628243,29.513898210126282,32.774701342679634,31.56635552824696,33.376834048468034,37.88888777192747,41.10734346564543,42.86762283529382,41.980392195745296,40.902608647288574,42.68270649176926,39.7678136651011,44.488185154018474,44.39686874846364,38.641727048590184,40.757807332474556,45.23709580151682,42.07246253228102,39.60996106188538,42.95843869112753,44.5095778190493,40.62042388697294,39.230426554587524,35.280603215680976,35.4686368261159,37.76757387356828,35.68671502576337,36.15038726554901,37.22675474810375,33.99828119118468,32.07204199895029,32.797268170167555,31.348807108967858,27.341615266230384,27.67525836860118,27.72903302051851,24.74472428505653,23.78305142501672,28.360958396372766,27.01948850332803,22.728250715461403,26.418651110465333,30.142680200065282,30.657757922366343,33.198831501692126,32.44234551205205,36.81493592562726,35.87580269134262,31.286579782665594,35.05117880446003,37.45483436430518,34.82453671644681,34.15182711517502,40.029786465349304,39.695837329052004,35.30716928160828,37.74196787157084,42.46599386187777,41.155629363824836,37.890192289310704,33.611752457648294,38.337636483911226,34.86187929048128,34.17033252484088,29.24189487316521,27.427497422671877,22.542507758994958,24.731290174415573,26.583123896690168,30.384919648358473,29.97872124395344,29.698199775471295,25.23969074214384,27.14068545177798,22.941632905153337,20.371591037482187,21.508546246178813,22.34225773997564,19.804498969506838,17.41118344514078,18.168095130053093,16.90115142422906,13.343851596956734,13.128377348315478,15.361156335994819,13.493831779816183,11.810152046034407,12.308252846298073,13.37972139105136],[12.711329480181167,13.394783420450075,15.09903503146161,15.033371230660627,17.838530579532545,11.58418860106431,13.639776923097461,13.127349278993018,12.150125061451977,16.646566218079066,17.369544191023827,16.971674356994043,20.748298522512606,20.648702161277967,23.501039621127557,24.88197565517861,26.287086479439505,30.589644820726047,34.73666612309484,36.49887691934091,40.35577807450626,43.87064944701866,45.626036374453705,45.725003390417534,42.58395107296108,38.53904224561738,35.92634880537324,31.682554538357763,30.536074187611007,28.133442711851057,30.1563594723068,27.96380270763926,29.98819300911173,34.65417301640144,33.569329184864344,33.70634357002155,31.947715565515672,35.17465526650114,35.87917218888911,41.40709742210425,39.88473730154738,40.68266532080718,44.57990022264563,44.92312462547312,48.391165690598825,49.003276786686726,52.55969295907253,49.265226670014655,45.90268393984914,50.99342602572912,52.14496487945059,51.546191127522725,51.500881483367664,46.79230446410753,49.61470138688586,52.000145681264655,48.06295615190518,47.077004411899225,51.828895136764494,51.97489326026355,49.32251353805671,48.78651754962189,45.8246133835762,48.76262083635459,47.508606594122384,43.043389457705864,41.11018973462361,36.95085533396029,35.5507721041217,31.856673254555716,32.48178729544633,34.5992098340672,34.7798242082205,38.961253512160475,36.65234264410944,42.184005422820334,41.51132675440882,42.686351985137144,42.22900937319066,44.446952664752374,41.33984075972344,42.01334859012839,38.45675368492884,39.981313035497536,38.526449106628704,36.31921827049399,38.52768870306614,37.11624206194464,38.07216854574712,38.774877187834484,37.05450604213513,39.54639424581407,35.42856417176494,32.2628991256241,28.08052337848083,27.550184413815305,23.92629780364332,24.83990946689315,21.649008738527684,20.51084528397931,25.05407267537682,23.557152047052924,27.732356101359446,26.031087579775047,31.057633206246678,26.88046475877445,29.04791812239393,29.717920341538065,25.85509307342321,23.818298978665133,20.334889148860412,22.02642796951376,18.409489123129735,21.91108989187095,22.139985679686323,24.821301295254333,27.534194377722933,30.380623137900514,33.797127306011504,29.976454703746523,28.227455654291848,24.68927653427084,24.893412795030972,22.018545642641453,18.61419734102145,21.917609894246496,18.25463006168783,22.508719171540477,24.479245594465198,28.099250831839946,29.60745004231464,32.736460458318845,34.91464116326317,33.73986689898364,32.34040104494815,28.728480729299854,28.740860234584858,28.001494182187333,27.81485381887853,29.53761482573582,33.0692836736446,37.030075543125186,34.545753086712125,31.838325916096373,33.901474921731605,30.46912293487984,27.926895369529166,24.845007396916753,23.22772781573761,18.861503702470866,17.995446363375304,14.620266808998378,17.08906085133975,13.417647368479845,15.885215462150482,18.789572846715274,19.380717630243236,20.768156000146053,23.47214915545054,24.435434787604905,27.57402931102522,30.195402214384945,31.079181818686283,34.62265452630287,36.89816093479015,36.517558568985,37.88291198027948,40.87502337635496,38.15555902460393,34.99278564540194,33.93328974185698,31.833756273332583,33.7079002474317,33.01633301127278,32.59684231121871,31.73312415028672,29.841046969625108,34.24754784324852,35.6842167866322,36.15480389046851,36.77753630719312,31.86751921126128,37.12060426823301,40.26448271058106,38.516686385450924,42.15793255587447,42.51985782669934,46.085680391810804,46.80060784145693,46.171990053945166,44.84079065663118,43.60644594652422,41.93075846603793,39.673502440451976,39.21720514983343,39.02570349481848,34.660262040861284,34.17141729335569,31.31402754963136,28.1502117136611,29.629802356112094,26.11525661284911,23.79109022663563,26.05321926240906,26.208753287870632,21.432561210055972,22.2778227833012,24.596926643481723,22.68439656000265,18.57253866215585,21.126593971808855,22.099711880158157,17.606443478915228,17.903610272299055,22.253055741790508,23.828226332148162,26.25299174148538,30.265929079788055,28.777455548784545,30.177923367610237,34.66843210643905,37.72603310920315,39.5525978551739,38.53493911690438,37.68432394345914,39.49320691851692,36.78040791212832,41.623517227239994,41.48389048777416,35.98055579597313,38.24846240245525,42.787372622386776,39.7428148805089,37.49942318867987,41.016756672060744,42.60359119154117,38.79103898448836,37.82065061317065,33.46184059061099,33.65458223101601,35.60032891057696,33.06022212195738,33.4858712950942,34.13423582319355,31.222003342501807,29.440517658888428,29.557846655940693,28.067088273005965,24.383838350919763,24.458168261573427,24.053322094194396,21.00256883866094,20.190268495895918,24.518272807343173,22.92080698966093,18.6507060819789,22.524554897753543,26.133594521057475,26.919249952754143,29.49500969126065,29.014320042969985,33.41788031763583,32.360117289326624,28.113591428689016,32.03517414465928,34.3895314278632,31.867010041661324,31.61356899454249,37.32843436665107,37.03792603900876,33.01777052666317,35.62454651143155,40.149803348282106,38.941520250753676,35.937759482045514,31.852595863571533,36.66443685011418,33.456551948003174,32.193086475986945,27.60710076893286,25.425486241159867,20.67249905144182,23.510557545816184,25.402898007605554,29.24981007872822,28.91377083591764,28.08608311236094,24.02407695515219,25.855707557972,22.215168624901917,18.73726456790773,19.49781300484794,19.63823546737648,17.34903720492377,15.476964955249928,15.302284752565939,13.535570274148444,11.175852192071766,10.660991607476817,11.749122525247055,9.473335770181073,7.8674911165554935,8.734838393295798,10.272443916027774],[17.953299924436802,19.157413389237973,21.07483874282246,21.036066061213965,23.653624172422187,17.215896297288026,18.496040457867135,17.016836806019704,15.263162502585693,19.37054442665719,18.896171518761843,17.830825630971116,22.733314308719574,22.550697712447107,24.344964142631824,25.984618721584173,28.286209270751538,32.13300522128849,36.57420402759998,38.39084406665707,42.19922702589768,45.85410866029069,47.65887381777873,48.16157606859779,45.14591744528044,41.03855695562257,38.60002418737056,34.36533143690679,32.588206359332645,29.85673709279954,30.6313880695563,28.66808062379201,29.790971410952935,34.504810328596356,34.193728457187014,34.89034276373656,33.45442597630465,37.345275740792324,38.56015964841227,44.10521089851834,42.92471506050681,43.11140816552781,46.87157579422966,47.70421957739028,51.32575556053328,52.36175201081243,55.736310600135646,52.15935203409399,49.25684626481949,54.48659301865601,55.23823661783362,54.50706243257568,54.140955117159784,49.33973427273976,51.705276330277265,54.08965776698054,50.20817697935237,48.70892678433751,53.34511790332152,53.97485633948591,51.02720894808275,49.896860470345544,46.609252060947654,49.64670093941008,48.89188107332009,44.44567082360725,42.354810369487275,37.98528966762781,36.700321946580196,32.595468755020455,33.4410873752287,35.0828338615604,34.982370647973156,39.43412570061347,36.98727143317965,42.10210520472694,42.085188733674194,42.76686385472343,42.86712060082329,45.56622500344368,42.61552321860507,43.939008747711085,40.3825032500899,42.47596998065396,41.385452901901715,38.62558458296732,40.43890130650122,38.424338741349814,39.22740956919984,39.009121317980096,37.208231612115405,39.07292199351374,34.85483039858647,31.568858797024642,27.858498748884575,26.61014150071539,23.56036728536344,24.493970148732245,21.705361965135772,20.06377109625345,25.582416580852886,24.845500296936052,29.358070490897706,28.485082857169562,34.10135275005271,30.452495027473176,32.784331696543234,34.03767798515988,30.51686715224474,27.944914765836185,24.940398390472684,26.307764378220863,22.59237854807282,26.114165394670046,25.530251909200416,28.53772334894331,30.65207816461971,33.82721419363591,36.42021823076385,32.20557638139686,30.703556207840997,27.36429477852282,28.427447094423943,25.9168146359335,22.90110624234114,26.695250514096525,23.41786563467968,27.464977023784233,29.461173046251016,32.5932090155832,34.71809587751197,37.58008094703302,39.776408258252665,38.0856030469335,37.1368159614144,33.494315012585396,34.099006042060985,33.030777866571846,32.64092005567629,33.9344521463392,37.33339038684091,40.94613364628148,38.057986454267585,35.56273646444709,37.261509764321524,33.52685283705278,31.349988601172416,27.967311652442536,26.601506859932325,22.12004790247348,21.27120187406119,16.967891212096205,18.622542547140554,13.500253767478753,15.64006173880537,19.528339410283976,20.867701265305037,23.016112473533102,25.61442584873511,27.614521732327084,31.293181680863782,33.2777040052947,34.94347569545364,38.13087945491928,41.02332040477882,41.07684381977574,42.629299121237665,45.833348298212904,43.366576260044205,40.09322612756904,38.93471131734304,36.51352753767941,37.934973223761155,36.825953712720526,35.8666766660472,34.5781753202478,32.17692447666248,36.351942664163055,38.38998493005995,39.04695996410646,40.31934514821262,35.57299417539945,41.092827969526105,44.40799825724305,42.71872527076264,45.9166055161198,45.9832757103965,49.54334237161435,50.790815799781456,50.395533094721465,49.333941450534994,48.17529507746723,46.76930038419463,44.60842648331682,44.22632479566202,44.22098638374568,40.01947376596309,39.422319614777244,36.75491309106276,33.29336205186768,34.73325667174956,30.8980056761955,28.93791706389463,31.509311935449112,31.258506094440257,26.572431755426987,28.03643334109769,30.007338709171844,27.435513613380916,23.971488720815582,26.5678252744486,27.026440626912407,22.444495740672874,23.25643318411145,27.28646592810771,29.236652254149675,31.052395570191194,35.74769214454904,34.134600243682684,35.130905617962,39.553738843268036,42.35955124795578,44.25658513789566,42.95241930917236,42.2593937107276,43.86622755008517,41.11577259366452,46.06988707512924,46.20286257473861,40.93261638109706,43.02328448103894,47.76284785498872,44.99929417373099,42.731312680898334,46.14968028772112,48.06411704908607,44.385246154153535,43.26678710685662,38.89884247536332,38.57594494719878,40.33021180699319,37.59329211418227,37.51461855467501,37.6895483268627,34.66729548961914,33.57379371018944,33.37851105441557,31.255245879961112,28.08725255459216,28.64265210531377,27.497140671452733,24.307513432578936,24.358523924571372,28.250494937755974,26.043873853626966,22.19138308018079,26.517335531193215,29.7648485855775,31.109338492047286,33.535445849329584,33.23719299321068,37.686513454169884,36.76825825170573,32.99501332835571,36.85417820041918,39.33148491421672,37.00575331867095,36.976047466893014,42.53515546778625,42.4116019108908,38.652121284312315,41.23194544413927,45.69139834737725,44.60851621976963,41.744539224659874,37.75059903135115,42.55215570160499,39.38015767361692,37.902616043059304,33.464195793991784,31.25566749266735,26.570523105840255,29.474433926626258,31.440246432120066,35.289907086251375,34.94586641300173,33.955752862365735,29.855730200849674,31.375091104848547,27.722619907187987,24.308805318424337,24.28932898772164,24.120845163530976,21.25751841605357,20.43946273685922,20.36160182537966,17.676769382421636,15.787784490487384,16.36213439424945,16.495961610828584,13.233535943251608,11.296310823018938,11.19375549676122,11.505595147878822],[19.680701648952237,20.342159482643456,21.829630659939316,20.570163752464588,22.902790015845294,16.41283916781127,16.745289332709795,15.458086559153026,12.460302168211905,15.869102479050753,14.95278644663937,14.484400251993133,19.300507322600033,18.463138414907135,20.24751254162379,22.263818036147367,24.47282058546588,28.127048649136814,32.386835537378815,34.506248364141285,38.14092885191213,41.979303050696,43.59483789417227,44.11188625671237,41.294019040446294,37.07781274845923,34.927741961617556,30.70323317744989,28.952422871320888,26.52500321759456,26.81038664170943,25.5428103989061,26.71522909667502,31.23114258733144,30.992903810837223,31.394833497683738,30.477532245402443,34.031154952668935,35.392238786740975,41.2073020935954,39.7980995887065,39.53613783446892,43.40003920023551,44.466763309065975,47.97654821019394,49.16647647944589,52.57974772380667,49.05452892933183,46.344869284290674,51.7282332054106,52.47676165208639,51.95996175228779,51.367432714187274,46.70689500068683,49.03607812245903,51.06378923969578,47.025949550711104,45.58079209042562,50.15854092650554,50.61035458925917,47.41781036499803,46.22032971893937,42.92826315454047,45.676114474440304,44.99163112609449,40.655850357135115,38.18211700105721,33.87717648201342,32.29688502323531,28.15381295682796,28.853796907762753,30.348069392343323,30.42669742957789,34.96906792999697,32.795858083509366,38.054763883430944,38.25746854096431,39.178466085216485,39.4440113803228,42.25795843411086,39.6729358665784,41.1454071322358,38.01337777298837,40.20940926635601,38.805408314870625,35.882529549849075,37.28608554613565,35.549071684206446,35.76459561451318,35.700963024759815,33.50825681082905,35.2353736297979,31.010718625390513,27.93193115828677,24.07299914093315,22.66784521823544,19.425311890076113,21.20345060077943,18.76143046271053,18.27029263945101,23.304991026138676,23.57524206292811,27.45238115047516,27.331042313000584,32.97647641526708,29.57991863904995,32.51865621559472,33.70645839809027,30.372968445886634,27.662136786969878,24.42637242711654,24.859135449637606,20.673744348496783,23.676051491219038,22.297719715293837,25.21531794912523,27.0019906768224,30.130303770170567,32.32523340506694,28.105222880355505,26.523932908346833,23.320274788277338,24.70772029572621,22.568686024121007,20.030327354212805,24.395101185222575,22.159602234690265,26.081405513284597,28.565191844793343,31.602964203977308,33.99209052387572,37.1079090682783,38.79435440169339,37.06296768007607,35.73965404789897,31.79554321417938,32.73301122413292,30.95960054174533,30.086216715202045,31.127582446220096,34.11347036836227,37.55045342245614,34.52641541692689,32.302103051786055,34.04672885948184,30.32718396590087,28.265118322820673,25.10542856653803,24.32485166991499,19.87545815104815,20.036061343173554,15.613202613270474,18.297519509574048,13.780704186398431,14.517770431369023,18.19752435662386,18.765386702759237,21.55963295013364,23.324267875275492,25.992848502305506,29.20600386654818,30.605910407449773,32.22832020518986,35.43959528402117,38.57859134002544,38.533194877905686,40.54854776666672,43.71186469202166,41.568808064513696,38.032810055423354,37.06884971045133,34.318336123993774,35.80232082245337,34.75224090340899,33.695273509300605,32.69984019256907,29.839073810791188,34.41511547874675,36.1840288733977,37.24907229120581,38.33038086073768,34.10550370075169,39.74272925150168,42.98684449166747,40.97173534125448,43.795534902609425,43.4397155466637,47.07100240923302,48.38570110826514,48.08347180646067,47.218788701803206,46.236352966316446,45.160861418915935,43.26703541755702,43.22187840725158,43.60155223256439,39.40625209121159,39.283402288239785,36.94439201465711,33.54904151961401,35.65151941564965,31.95887499772239,29.553812457677186,32.445657729465246,32.800981184283074,28.013886326546796,28.983446840804483,31.62788880791326,29.689330800229833,25.755077357823758,28.420160191696695,29.487299400680186,24.980620648403466,25.227628592289378,29.61732768240631,31.130219184046886,33.67956236172054,37.54333947520191,36.07129792504051,37.54781011331341,41.95679513122819,45.062536290537935,46.77147283132769,45.51940546524322,44.476563124628484,46.002922346458966,42.94737692956317,47.777820046560926,48.02808930757517,42.43286726253964,44.304477732540356,49.030700827857906,46.17877765119716,43.618212054265456,46.82827198899795,48.79957940310116,45.07219012504545,43.418730611586724,39.486190921377286,39.04656468127087,41.182617903937604,38.95986303576357,38.89750567717029,39.608242469871186,36.17920527484891,34.89926780750858,35.46384295375137,33.39957992903006,29.77151893549901,30.658856113592705,30.133649705977913,27.006084940608687,26.83399864475419,31.170645442826718,29.369478081242576,25.43822835594602,29.610504744291166,33.074047452411854,34.018478432279956,36.34224084837611,35.610197226070106,40.06943355966209,39.39293836075809,35.145178677169994,38.77942970120083,41.41919636643879,39.0090648285056,38.42793799980746,44.20198452120314,44.15655817488746,39.97418989692417,42.279012916287556,47.02009341079956,45.942436880277064,42.799814446540225,38.6470964272514,43.46635812848268,40.11052686688162,39.2278893534515,34.42270620566761,32.399013857750475,27.562599538569156,30.009446924438567,31.81067061179605,35.617908225931544,35.07064191798768,34.50046283513322,29.92154463698798,31.38917132752418,27.204307525083724,24.652962146446395,24.88278802593598,25.457205486235384,22.28746962565414,20.928789372262816,21.86397896608185,19.680794613251607,16.425884242779656,17.436852041584753,18.839969449465038,16.00893547554133,13.986015876176085,13.81084781083351,14.028726440827413],[18.832770931578477,19.032664167473712,19.811970350453954,18.88917964874731,20.435723615860184,13.895750563604421,13.993901643270771,12.166074897004307,9.69724953816155,13.592671980570126,13.009165106969872,12.032905894778505,16.82630605155115,16.727654352628843,18.559514252303803,20.14780888043633,22.371695557464253,26.256654379989094,30.73790628121943,32.4897605997033,36.322897311861446,39.954351502349645,41.783308685950615,42.31481010831911,39.265550050114406,35.180514511107155,32.72011469269924,28.49011529168968,26.678789707827733,24.020320291590387,24.97135525419305,23.107635079328848,24.579645863538598,29.22736770847241,28.663394140684385,29.12265260687721,27.79564653173025,31.49809815018924,32.746635154776165,38.3918098943697,37.14578525618342,37.21628922133427,40.99720133516097,41.880211987480955,45.48653060074071,46.60315133059281,49.9630141256707,46.37885234307414,43.57334156573992,48.87674635852145,49.599490994680075,48.96036237957791,48.499865418490934,43.75847790258887,46.15762846253963,48.379861398402134,44.42607194827595,43.01646936050207,47.65942461245796,48.15546108109373,45.183192800700546,44.14777846035908,40.93621218325998,43.91831211687375,43.060043542573766,38.60972411759734,36.555514021803766,32.20661970733227,30.99536473848158,26.97532898570612,27.90734745677001,29.81995447407461,29.588371193136492,33.909054857092045,31.406595677803818,36.680059966705464,36.43931387881717,37.337871272086474,37.29216754298047,39.90495972469487,37.05499373924625,38.3339769884722,34.993112791936454,37.08775681977252,35.809245155274866,32.986747084868924,34.674011045035066,32.87374014464595,33.491200351660055,33.59222160447536,31.70836688404409,33.827176703384154,29.64145342243395,26.427524943451534,22.447919090437978,21.548283831614622,18.18841674724893,19.222701154845687,16.36532557086795,15.583646732532852,20.484585140794387,20.26897829677249,24.264963048491786,23.851306977956938,29.478883163413737,26.05027391671225,28.953870243678676,30.224722792142728,26.978955836096283,24.154798739709662,21.05453195745867,21.57157349362491,17.564860449105616,20.86057856354233,19.857268064283247,23.00878585681279,24.90711828030148,28.24800155474657,30.675640534416356,26.380294374372863,25.029469780298687,21.705679417782672,23.096206362176396,20.629540311009606,17.800597187941428,21.826427685521097,19.235140868071376,23.032747963918226,25.369198263779307,28.241237169739392,30.80326079349384,33.76974511752601,35.53650645947086,33.66500944170211,32.577663052056955,28.75267570713818,29.903811192252487,28.31709795351802,27.75193185378581,28.680088290910827,32.08366577980839,35.44645065001885,32.38897258626779,29.95046656964548,31.518888470511452,27.73508640638045,25.65559209929952,22.27269520407478,21.18548529495435,16.705257201785887,16.537671174056555,12.101042105891848,14.815750996945308,10.643858446240456,11.52944201609214,14.975606758820863,15.58646009976861,18.124442172758428,20.173483896477684,22.594079188468708,26.02897571320723,27.65165236591112,29.439135696287494,32.54828457203919,35.67405764293923,35.88935714311261,37.66903336495282,40.97837480972459,38.81536592284185,35.39033942698517,34.221108196585,31.49933709298196,32.7559755666603,31.58324182860495,30.50907215667412,29.396622726300784,26.726868105243376,31.197109017393217,33.015081795949165,33.92974856988021,35.09523888205302,30.710340106216076,36.35140016735627,39.64205641056588,37.74431053528499,40.64176060050545,40.45717191792338,44.05460455075368,45.41022211867306,45.12685346419565,44.23873784162112,43.201208923145806,42.08235558111087,40.13193827817617,40.022665061572404,40.41663571192419,36.32139926642829,36.09835976180704,33.893405433513834,30.346265354484512,32.55245047613285,28.77531257697658,26.429072978022305,29.600167580707165,29.947592265745783,25.198909860868948,26.506909219414446,29.173807921290678,27.18321821572085,23.520984519066406,26.42990627369714,27.571228224052913,23.14051548466603,23.70555498750166,28.20760277536692,29.500251631204492,32.041412961398684,35.73774911650078,33.97554622219586,35.49392956732762,39.71615712066131,42.98142161204496,44.42819748988554,42.96936735539088,41.72160752999363,43.08482744537056,39.85998620194417,44.65810765962975,45.08351733660747,39.45715757052219,41.147397997088376,45.95389142336859,43.2403878945109,40.56117586450344,43.65681457351992,45.84765477125043,42.231353330809505,40.354170686060534,36.492355592386666,35.75796596738931,37.89141611099974,35.75819809062343,35.57468176647537,36.398821923669914,32.828362343187344,31.594860304490858,32.39500215925021,30.2748075362305,26.542977689038707,27.683141352189814,27.345367215775287,24.270005982069225,24.208419486489557,28.692983907411584,27.1016751259599,23.362225747640352,27.548872203454202,31.00334010746631,31.78315291727291,33.85183414282649,32.83730046638537,37.29830682815794,36.92944349156074,32.60354668518728,35.986282450997976,38.84178083142898,36.57286698268481,35.75034764161406,41.509422865390405,41.75568332361085,37.57384857410983,39.61461276750534,44.45863192348207,43.64618440507938,40.5398800466815,36.53623241001951,41.52398799772413,38.39611577075013,37.55448607867717,32.78491953467059,30.419726283784957,25.675761623680305,28.408748488967603,29.903263255681992,33.663640246060226,32.82204731281991,31.985278562014045,27.253495707106485,28.40309809450187,24.263004630790405,21.789723309668087,21.6328255957328,22.311585440084183,18.943589207470655,17.769810248379287,19.1078187664922,16.85617397707153,13.271926930105257,15.076055318651543,16.6855246233164,13.880175761069998,11.889284258876282,11.635505434544841,11.863756296533339],[18.508966615212856,18.137846557345775,18.375465427947717,16.70388410977279,17.843276994277367,11.479573995009764,10.932416897508386,9.566995764859133,6.342596930111915,10.17304400589786,10.061628084048087,9.885430167579768,13.933904001542286,13.57359224093777,16.050097445857453,17.66163752292488,19.351297988099276,23.42235084092408,27.706053295429047,29.558540457506673,33.358794184327955,37.00934885064239,38.74478597697778,39.10349320148978,36.06371923371999,31.94670129124519,29.513071094043504,25.255259331933875,23.74874463131557,21.40088450549285,22.815472935127836,21.16949257914928,23.182426387548546,27.674423804096694,26.719902869418284,26.728519243772684,25.49345345244058,28.692158159826576,29.774802102520347,35.56984381976049,34.05099915077323,34.184989474743105,38.090875318378004,38.86446169714381,42.361724953140076,43.373672561909316,46.83599571482549,43.38943860577969,40.471337733544274,45.80496510294275,46.696574972455686,46.224453044060716,45.79096848734191,41.15445576672977,43.74705130515849,45.79613012896687,41.735649562335745,40.59403128139093,45.26856295220738,45.45244277692011,42.50136446933402,41.723860781045225,38.6723108267514,41.47976739838812,40.40167951807536,35.983036251178696,33.84380202948514,29.619854757042035,28.23739006548154,24.419177646949976,25.196297394430648,27.341166646685025,27.299422620471578,31.49296019514799,29.165770838626045,34.72167257582023,34.21974583363141,35.48695299586234,35.223870605203366,37.64563443249728,34.89597928997492,35.93134409982137,32.81086888270146,34.690197722446115,33.07327825873193,30.415917621115796,32.08747686937438,30.730817519102693,31.13379086316406,31.79783738427751,29.778423384876294,32.17862473449769,28.067549887757473,25.037644432669737,20.73635308968226,20.23054673701574,16.45830051423663,17.862349603510484,14.975140889162683,15.192543346771314,19.135201885532684,19.1051961214607,22.50938162994917,22.142150808691536,27.48963824149283,24.00189682005267,27.201047984007456,28.194008967991696,24.97146498313321,22.2813469576007,18.8839931552765,18.870303748577598,14.574496634603292,17.554011196497726,16.41614862881529,19.451944379398054,21.457758419405486,24.69624594026543,27.322331658659486,23.166189409794583,21.67969642917063,18.278121965087408,19.49696263789102,17.00443527572289,14.232192495408013,18.438550400917105,16.39516354206606,20.139187489091398,22.77410073100922,25.740099749842802,28.246591248146796,31.443243406446143,32.88956575565675,31.18520791072801,29.71163845531306,25.719879965490282,26.895823385587338,25.002934792219925,24.256046208836942,25.17627392810209,28.476237845398277,31.883417974612527,28.89399334717516,26.472878312775865,28.21504171224652,24.54346571457558,22.34513978055291,19.1850178877335,18.325696965864633,13.882355305524356,14.438195338067649,10.451044402141404,14.264147196496424,11.48252781295078,11.613764260266207,14.184988720219229,13.835861627518488,16.366346451664487,17.918900200454726,20.249955725728086,23.15838548192396,24.732199462290673,26.168973019861625,29.45386921948562,32.47269429984358,32.487084635447964,34.443064106608865,37.671474183713556,35.60075603024859,32.070460941217604,31.025974403244273,28.221564397744036,29.675618066961388,28.699797911904025,27.79968250625965,27.05005731881678,24.35482423275848,29.169127069871127,30.548883351690456,31.609875766591163,32.3795631574851,28.225027551805425,33.82169060021672,37.00261851194173,34.897886534491406,37.77112424512031,37.48600750998824,41.13194031420176,42.308148284961305,41.979220354106054,41.09341108235178,40.11815909091857,39.08182571152586,37.248129610656946,37.30514752822641,37.86245727419423,33.73672408513923,33.833994116564675,31.796670640950257,28.40989644401434,31.03234975288269,27.49545512193643,24.78466267261175,28.044637496986454,28.893884679002213,24.15421901472465,24.975611526546103,28.120092337547888,26.747456568310795,22.744424869633278,25.63987275832674,27.269352410623295,23.042405532862585,23.16807098300299,27.858392561993032,28.729919274933273,31.814177445059794,34.75309256165075,33.09427561373494,34.994879308631916,39.15506037799343,42.64938258764271,43.93067940864498,42.587181744959764,41.082767756468314,42.442830441423155,39.07217675968695,43.71922145027396,44.1280903077099,38.2781426997167,39.87053056233269,44.57249224822377,41.743328246798974,38.90697656987136,41.88177629912776,44.00331885218097,40.34837223685887,38.186918224898086,34.62746386303768,33.97630685451134,36.391936668561776,34.661362798470776,34.660823745085764,35.965791092445095,32.23314870054627,30.655078669407477,32.01922546239932,30.184157890194612,26.05757104803147,27.22855517111082,27.51652513193996,24.594346510996274,24.143687591276993,28.9253770682505,27.791293562524224,23.990017044830147,27.857158076653626,31.47104085426406,31.832682176259542,33.8356696803887,32.50740932952746,36.900319595131,36.65441703790862,31.959351831370487,35.15612151745155,38.05505812892463,35.71729267712333,34.478670855152224,40.353339564852675,40.623547652085136,36.15360909259051,37.98338958907444,42.98712874883174,42.17772474112094,38.89757305841785,34.8359459503085,39.81392283705718,36.636479268595174,36.22594816728366,31.26771663019122,28.999083975615214,24.26119283808474,26.686235572856244,27.965765720941807,31.63690235497672,30.626860281347817,30.066894872657187,25.077805105516276,26.22977357176554,21.788258371364954,19.954691297402015,20.17508476896882,21.44690374385076,18.16231093010996,16.30786445443911,18.330236796336244,16.775356339576234,12.26823210217078,14.122972816092206,16.7498859463018,14.647030476881305,12.879523631469942,12.823952014151873,13.316859878246673],[14.970481900489613,14.205146482570015,13.950763824994494,13.121074572758324,14.00156577662628,7.473968106424743,8.089650751205253,7.051182332446847,6.354827825268822,11.07384854774984,12.36775940511972,12.031487481461658,15.02867358307381,15.502561743108854,18.545542459394245,19.51888689580366,20.63358320991848,25.09547466546431,29.297627290836427,30.7651918685933,34.72436255752913,38.062703641902225,39.94500497058988,40.05097447851267,36.75315758172692,32.83223950335916,30.015376836782565,25.800728538000484,24.69583203944286,22.317167928443077,25.03504787210637,22.617905038915623,25.174389771485792,29.71692094836902,28.176022714668946,28.068434471775554,26.147560060349175,29.164433048915114,29.762888498490558,35.25654951870869,33.74477819386534,34.68998700623643,38.550190652121785,38.79523261196301,42.28906376742068,42.90614561685325,46.42630886783104,43.11023719799752,39.75062367969977,44.85412248111035,45.983401360626395,45.41001950483953,45.37138039249728,40.687251862681535,43.59681899525365,45.942174512255605,42.00195487796239,41.15349660709654,45.92886411928611,45.95541360355715,43.433954755057655,43.1106006868624,40.303491470047426,43.29106786908581,41.83102693246634,37.33353118331793,35.69793616057542,31.60541911872875,30.481840038730166,27.047072307147392,27.831029356215176,30.395160150911416,30.326409349175364,34.17665200851126,31.700689959852586,37.312227770670795,36.17385480162576,37.54138507836379,36.75509320987857,38.72683116301748,35.573231270335576,36.031613349618254,32.5664312192385,33.96375779480223,32.38267146374588,30.25229285608689,32.54668433865799,31.36649805490465,32.39754278524478,33.543358527997356,31.960069607533875,34.87420905343819,30.901982265649384,27.825800803006118,23.45420241502805,23.581460318629553,19.760327654220482,20.30900934863634,16.947253590002198,16.506799882281136,20.00193052764411,18.536890312764243,22.17016451550847,20.564373349939824,25.471525419451556,21.406286620025227,24.089475214246885,24.77031150707584,21.183329541808117,18.86477665265472,15.256957416408545,16.20940852789267,12.373105960791538,15.933609418970638,16.22612458816338,19.13046924231435,21.808887587345342,24.881773349955456,28.3629835021733,24.52054713505371,23.036480193681246,19.46532843411257,19.822144628092573,16.71918392006296,13.188810711266202,16.40113401071425,13.036670106530366,17.06495766160296,19.31766687223223,22.663714707996856,24.679436003713942,27.857933818094942,29.67822501501886,28.270940894107863,26.838324249655003,23.093921386990022,23.744960861662733,22.634563548707384,22.50786963740247,23.85706522644812,27.6938305681818,31.40563469457384,28.783255761456072,25.97004176152598,27.845558009935367,24.37658979481596,21.858144719148775,18.69355580734849,17.068352500976967,12.70309590732937,12.255664357176906,9.207956202346208,12.836511813134225,10.992229526636661,12.402204196699193,14.221133722106423,13.959366261962364,15.222971054014879,17.59582767048903,18.521643633465327,21.481690459909053,24.021937725203752,25.00842463433387,28.468672887860492,30.893527904681957,30.793051174068477,32.2183085676028,35.40697152966932,32.94044774217544,29.689283240693292,28.483161516457034,26.120605809429684,27.748024797973518,26.962909136364207,26.493928607874025,25.779546493480737,23.854933685510815,28.458631346753627,29.6434937056243,30.235145630127075,30.740321827737095,26.037319110369836,31.39819754346029,34.54602474119185,32.663856718565256,36.115500317744065,36.37368853123725,39.9580706022858,40.77085354728578,40.2338050131966,39.03592018832317,37.870716913467604,36.4178001871454,34.31202952204676,34.07128630522416,34.26842940098258,30.041837323367808,29.86373002759373,27.542168612691523,24.19120840714918,26.527855913496573,23.034317439264722,20.3315957419164,23.405369088222827,24.180442920889437,19.422005712527596,20.322297636725956,23.36111587822506,22.03665970177729,18.046025281459166,21.024831366535853,22.69481215355444,18.59072989329067,18.87288314806947,23.570428071818604,24.30719013649674,27.34342985050234,30.21400351009085,28.40484134966463,30.30810313967171,34.415083357456204,37.96082264599898,39.1822176039036,37.88113515088936,36.3821735049643,37.83628505929233,34.575955640655614,39.230308027119456,39.484773610274125,33.644027877601886,35.39654243220512,40.04147142687128,37.14325664314563,34.423881404018005,37.55354367107991,39.54832252874543,35.86899093719561,34.00578466784596,30.191978918442175,29.795220277691534,32.118761436909,30.23759681774156,30.489259296870596,31.83367608003627,28.330131314563303,26.433191535423486,27.679683403985983,26.175906423300034,21.91359210238003,22.731313951618,23.25170339344988,20.425953897266805,19.61900840275359,24.497618108359426,23.63811419743617,19.79967565199404,23.42762683744961,27.0982405873511,27.253133354992134,29.257824259775724,27.911098510568216,32.2762379364852,31.96525069723224,27.20303182177081,30.43795172535532,33.28738866012435,30.94472903640297,29.747573423480944,35.61229534831338,35.87894189197282,31.477894818923996,33.35797763386008,38.31109786239651,37.54600622875646,34.348323323810725,30.383140866083632,35.45005758602495,32.46265937570504,31.869959752036415,27.05008580861787,24.510969812434382,19.86660761118287,22.659496104654437,23.807596453886326,27.487904029664286,26.43790643631603,25.58937299097217,20.757918615014898,21.98745402487819,17.82371760634848,15.426413159469497,15.816111188178498,16.978351074002703,14.101778761496302,11.82384988237796,13.61067224982795,12.407148188979777,7.8252513310870135,9.458849393296793,12.379937690890921,10.865692384137128,9.495720603147157,9.955917646744352,11.197801967800686],[14.77285080187597,13.458553154322514,12.86297831203783,10.660599748886346,11.581146757496688,5.354019802447317,5.528145170086638,6.633953267445082,5.3441607764408445,9.320658557143826,11.470626477352688,12.359833868528348,14.047892504168182,13.868197018007866,17.745874420328974,18.834367516596465,19.085508228352307,23.655539018552787,27.384334647934175,29.11264748458432,32.907093390274916,36.30801667526491,37.95888686669284,37.76874517548401,34.58489830321946,30.60429414340372,27.95120755100691,23.75047783847984,23.222149331651895,21.429916497254844,24.5194334611068,22.600511100664736,25.61703841732869,29.87069738139875,27.996981084630114,27.30627191736563,25.63553145346282,27.849989076397716,28.181750252201162,33.86845566643231,31.900475462551725,32.904757350525166,36.946091326809125,37.04346376093072,40.31755045920956,40.74691771194333,44.44077653832555,41.38206104182222,37.84452115393358,42.96723203655825,44.384226134133,44.08015467474298,44.079404232536284,39.58965208058586,42.748377068787825,44.81385186654894,40.730837000033354,40.256267980303086,45.02835172996203,44.61461220582581,42.085812212459125,42.07213203668265,39.47286533497341,42.130778643908016,40.43809831841253,36.06166100561418,34.183569032628675,30.338273226822093,28.845216362135332,25.716389165270595,26.15444665322194,28.81809012430884,29.15788492701963,32.87347151618499,30.79426730738692,36.68228198437089,35.38748326977705,37.20116674534677,36.25502335901799,38.019834498689576,35.0893530196427,35.25102424541835,32.145374218559915,33.22828278844293,31.15654443423674,29.31525631965236,31.52337551957615,30.968240027130786,31.614427708074274,33.397510916367956,31.578838699469006,34.65217768059292,30.801902906437657,28.023749483026545,23.431252792244614,23.801802541550206,19.694045302377948,20.865636268239058,17.72327876130883,18.30418879664596,20.815673181745264,19.671239844929687,22.505617337298542,20.951663014412198,25.32006021468017,21.14879660969389,24.062405882843933,24.222288894181276,20.56424514416376,18.686823431069328,14.591591857172894,14.931945058628578,10.728424348583962,13.61758879129925,13.923705986787086,16.349687796222632,19.33849202975425,22.013906420695754,25.870035448081325,22.401696347861225,20.577134687421285,16.970210157326484,16.71158453280697,13.586969828921829,10.037978371362021,13.501630387313739,10.918522410727999,15.075903017188843,17.786079663965882,21.491721061359073,23.10938240204835,26.707100966360343,28.107423592097415,27.137562917170335,24.996218938688475,21.001969933446276,21.31414742113082,19.836567613665675,19.375125560082964,20.986932906769088,24.520454108599395,28.47117025353504,26.092128217486003,23.34881402227638,25.64298199846132,22.46873001796618,19.71912734713231,17.104383712519876,15.858606489599657,11.775643636005253,12.391865328586697,10.423955737729143,14.854136832721776,14.08344905918539,14.823087249351872,15.915591861865915,14.673298023819564,15.803631901695487,17.444306198642952,18.066946803039986,20.065200607269933,22.607537197144485,22.827789327792797,26.64453323288456,28.743945236140206,28.116191896394465,29.81490979191595,32.76115427303743,30.314708993031125,26.90282532266372,25.99774754961772,23.637466195459123,25.789133478922366,25.437475498034274,25.341204751316727,25.203805425958567,23.325605739071506,28.303536044912434,28.855961328072144,29.619659533689866,29.483526636992128,25.114163758182958,30.294056073759794,33.22954395644368,31.05299467475318,34.55571465605172,34.70071976156655,38.33906175475788,38.79129549755416,38.120625576664104,36.85705176924922,35.77071166279527,34.34583881131132,32.372329523703954,32.328476871716404,32.63773013735607,28.276372871058726,28.550579164972763,26.2902374584367,23.33838701382063,26.058921474951347,23.028949861060592,19.828867660759055,22.681605886233783,24.12719942879561,19.4447227484028,19.34553416413248,22.979615696417113,22.568364042585944,17.98435040279257,20.696983304108223,22.953318167646312,19.173736644414415,18.629474235027555,23.424477363104856,23.718332824459925,27.447537539004607,29.397536760740564,27.92961457047888,30.289455345314035,34.409199112582854,38.11207147478742,39.29328684497675,38.30475097234797,36.64678624545847,38.2237456978389,34.95835762004779,39.407722544397146,39.47722033791213,33.423189863925316,35.20926578219146,39.61271627800404,36.46154592302871,33.67276553417003,36.74752977042806,38.44211945535997,34.63297981937071,32.64924011876675,29.146574991514743,29.16951725706833,31.821386994627638,30.380074941480206,31.006240059332626,32.8452470845593,29.344694743651754,26.956750587981265,28.683209398188637,27.65070566318265,23.06437970897291,23.636001226385314,24.81281536629038,22.21826184950667,20.82136602483916,25.851265765555272,25.446741794828004,21.486058947173195,24.59083328002498,28.40725666394652,28.128071796018606,30.20921367029498,28.697615715029514,32.91117690145363,32.51877687946508,27.38847514835813,30.542999184257468,33.24394683650372,30.724779058964582,29.183139446261947,35.16411089685087,35.23639213987567,30.493030101086628,32.29780500675815,37.34884179348427,36.399444295179386,32.971239732190355,28.84322231966978,33.78085174627842,30.60001886264726,30.522614276457084,25.45798008437052,23.272296887718394,18.613684502836247,20.793680942928013,21.844737148539384,25.440468446600615,24.37896603882133,24.082287886134065,19.07354280015484,20.618524664154787,16.073025594842747,14.476851143307652,15.85918935879215,17.675600632031163,15.311747966470426,11.95418580866333,14.181470523805014,14.111606630845294,9.081954139689637,9.680220256899343,13.708515817310603,13.217070118718844,12.212556568960657,12.901847835413326,14.289429349935881],[16.380018322542288,14.518405273918097,13.34315024800651,9.677312200153704,9.99727623478997,5.676849008140523,4.285812379842578,7.621538157376181,6.125719706635043,8.015814434781136,11.03220441090481,13.09751945134672,13.11728410767512,12.282162606693111,16.90324026825639,17.994471395758065,17.222038941325245,21.798688186478817,24.93783829803051,26.884921020181842,30.467438426017473,33.88227931582975,35.29021882477752,34.793194630277256,31.734037986280654,27.73660268526005,25.27096777736717,21.15344401688914,21.29250644196333,20.20904582201211,23.691348198146002,22.321980126835314,25.78148669113959,29.632349447878575,27.403495973508424,26.084301103840104,24.709562904977975,25.989191151740332,26.025169726437742,31.85823238809777,29.4176383215611,30.464742632057632,34.66038647964937,34.60630035817013,37.627781996337156,37.876133527024834,41.72712000326946,38.94650817540227,35.26841990778929,40.39625677789941,42.08888621737118,42.0796892125751,42.09672284140198,37.84768940572343,41.23530903729638,42.97803127865097,38.770379825547735,38.69688981014178,43.42780526836463,42.55083738391954,40.03567597514962,40.3629384504041,38.01868003428494,40.31659692453197,38.37181870816645,34.15873970189562,32.082079562329774,28.559415826833884,26.73729609422675,24.043913686467985,24.12693530414931,26.928758218906967,27.647996979425326,31.10732995880862,29.44684295519849,35.548044965345596,34.04475627285136,36.32090619228655,35.1847595292772,36.692201603428586,34.03232148620361,33.87558003543871,31.21631473826962,31.962026396671025,29.37566024883795,27.855938700079136,29.924825750820652,30.06328299549431,30.289963727453678,32.7589095315723,30.742102250299904,33.987802588132425,30.343934875609293,27.933494783483887,23.215472516518513,23.916512208637673,19.65141422870247,21.330022897753505,18.52027153977284,20.102678221334426,21.481793940253006,20.74207779261321,22.61478979850316,21.250126967756998,24.958046101258375,20.87064489858713,24.053919272299417,23.716428439551073,20.198557628862257,18.75982148262284,14.414446813135589,13.79870239252849,9.426792701098949,11.111971498634556,11.333319372912685,13.070832088538648,16.360574206039583,18.553149347374802,22.798867833711373,19.811691264601837,17.674488912589858,14.114622808230452,13.099575318359038,9.964181190712477,6.513070673704359,10.330366172405881,9.329319998686566,13.210145084402916,16.43023909191943,20.28982878758868,21.57876154579921,25.545994464562646,26.36674017276814,25.81004053157728,22.931226538548053,18.686670382642102,18.791162834878186,16.719824532533703,15.784201186795617,17.58791369725904,20.748420986193405,24.890439888022485,22.76430875355675,20.131162264524278,22.84801598676128,20.054378303498616,17.11287087122392,15.241773217040286,14.557762687846694,11.127646948294469,12.962362399459712,12.17980956683193,17.062585367470074,17.311570312923802,17.3736122279031,17.698315400222846,15.534126780847485,16.499054021802404,17.217804807463022,17.56720403356245,18.384375450835776,20.773247283880696,20.14943080743152,24.287433090865616,26.062789816548992,24.904466179238916,26.956754927295542,29.651344895320666,27.334643264603827,23.724112130599746,23.162319257264198,20.739070331884406,23.400535735570607,23.509314917759152,23.785181972826486,24.29267555447762,22.46229579682659,27.752840461070935,27.60811074249482,28.58857284660543,27.774909912647725,23.926058997252117,28.85274335997784,31.52645177382566,29.019929399531676,32.45932795424236,32.424725779989075,36.09899115525302,36.20276641821593,35.423562372861376,34.148918311053315,33.17933686764073,31.876546650094014,30.121580685816753,30.36001517201459,30.894270070382802,26.496532886747364,27.331630102255478,25.32039927246116,22.818828150971527,26.02949262814742,23.5330152029088,19.91409343599456,22.61223842381638,24.76415851841958,20.339074919983293,19.311762823791984,23.50141841825258,24.014387550080166,19.137160014941898,21.547310792411835,24.343777310966853,21.029710927656964,19.807031835336552,24.542971139175787,24.300092654494797,28.65108809491382,29.52781371832668,28.366993026112496,31.17606878096878,35.170581083409225,39.040622260322934,40.07087373391576,39.32640715813218,37.435017355636326,39.03411316434616,35.706254915590264,39.87268345176682,39.85111437271601,33.62339469138884,35.305768164645094,39.444083061195144,36.12390339053868,33.21097106297659,36.10234935632113,37.56719573046575,33.70901965385403,31.43205763261917,28.43769831037491,28.73979960787957,31.738399845258183,30.872475881822403,31.781738860715876,34.15075708734441,30.59946525807346,27.82758422658394,30.14252148780248,29.509201532340768,24.677564958660913,25.171845495607204,26.99353167200004,24.676472299826226,22.88196867106514,27.969863255675065,28.028856776799227,24.128915960550586,26.723588369875806,30.58260913199899,29.864911577152515,31.878751213612695,30.114734751117144,34.11211310773005,33.78415173724338,28.350484723256823,31.239014257129092,33.844559311935654,31.24296133430018,29.23742758275147,35.24432899381068,35.23378015508923,30.173301063293913,31.72607816117444,36.878509925271366,35.844993579159876,32.20109409167055,28.008984925465683,32.76653163644345,29.476223886271654,30.057173730660697,24.818218721842953,23.00574984208316,18.550868608149305,19.963615131210794,20.728186594003784,24.083968603695602,22.88935828262428,23.200378695450762,18.01477504727551,19.68610436598381,14.796401462483836,14.491781467099761,16.634042413735866,19.113037390392734,17.181770114674432,13.166604192812224,15.922462555252883,16.768647304074,11.58494666489294,11.72704554206581,16.354782541794485,16.603958309817337,15.865174014803697,16.579767174599578,17.959018394202324],[12.366181684917843,10.454289257906089,10.221102242271288,5.530131802431944,8.906867389302874,5.87665149496687,7.748890806315573,11.601108721505254,10.972297585824021,13.195801302430175,16.08413001355965,18.108857192460896,18.320132595860542,17.207092597977233,21.979217818108577,23.18389264027295,22.136850437583316,26.653286024685514,29.358311489085526,31.47828507811614,34.87066075068611,38.25180620307471,39.44342281584564,38.596839225147534,35.6837903718938,31.743406954242655,29.440896658890807,25.483441553117665,26.09913996342534,25.263510800718,28.85252884343179,27.52068571249078,30.982327125312068,34.85511185183497,32.5753096271828,31.145887797807692,29.70723628016019,30.65485689071085,30.370154246180917,36.04879230794485,33.35724335410088,34.747458211076356,38.98769422701821,38.62096634377027,41.405786722027734,41.267369390408284,45.25959768251334,42.80742138120293,38.79673823364432,43.70285398345703,45.75309673073888,45.85262875934193,46.12183222792751,42.004971151535855,45.62608088329407,47.36385026026752,43.17745464714616,43.38711891631205,48.108128911840396,46.961185743899165,44.591700284915724,45.17498505439093,42.97373321062046,45.09747766482463,43.000789016391444,38.901984034001565,36.70576486844307,33.38947084431779,31.27181537215446,28.746332066019672,28.504766265792785,31.115415694499706,32.26616236697931,35.73907535809522,34.38799085839848,40.56460663922021,39.06172360110491,41.46629580815427,40.26060868290255,41.61687437524796,38.937676695684196,38.492550907201206,35.80575525418125,36.20491065586466,33.495287962025444,32.39947812608157,34.6436374068895,35.01199606748165,35.28598354931839,37.93888082045105,35.90010160355151,39.117906411057156,35.47522276500838,33.096271259848315,28.37156716782715,28.903962494061734,24.60776454691908,26.461841494931218,23.577304727183062,24.706174422051557,26.460118433712587,25.16389789883847,27.298615397385703,25.26250228430836,28.532091290476547,24.010168346208914,26.523651491062363,25.627308737091,21.61526725451432,21.012881960301712,16.452149508688546,16.914202585594253,13.290164009734228,14.794294678193532,15.846896878131947,16.79812088373474,20.444175707735752,21.875158188006015,26.616544632306912,24.186694397195325,21.696164780322725,18.300165062650283,16.287730463759562,13.4106642959756,10.27541926911546,12.81560990030277,11.06915297421277,15.191191091248838,17.978742764608548,22.523610359534718,22.596196150464763,26.781239248013698,27.845739665822048,28.073520104130985,24.775581226038057,20.811054806344643,19.487056736535834,18.22607007168407,17.457925043070222,20.147840726801743,22.89749792832127,27.541175279782824,26.082049187248924,23.494368459330172,26.64568854990608,24.315529537730818,21.192087141820792,19.794061729247634,18.8739651174136,15.755387549201131,16.848429624717795,16.323737350555707,20.70001643096808,20.435525661559858,21.410176393484324,22.08754169164381,20.336841776679798,20.847806053676564,22.02868146316791,21.573331825893444,22.09076278851631,25.037804122188632,23.60558416009904,27.99802671512055,28.959404451415686,27.04914320195554,28.837428199602282,31.0164599605758,28.216070548719053,24.851703249971198,24.62967035342006,22.913997349315103,26.255857283834995,26.877369164875507,27.684800945711075,28.387677352891988,27.060043283092018,32.185277360448445,31.808397236602264,32.501603340403506,31.249522792399087,27.17717387332211,31.63224712344675,34.07838846748594,31.668193494406843,35.620065877554595,35.935282598836274,39.526387650271765,39.03293089503167,37.95261161007297,36.3158776193279,35.22950975181697,33.47625878800257,31.52824831101665,31.51477646978692,31.506784769897767,26.824052634898912,27.567176094953265,24.8982558114045,23.01170993797999,25.551414985746433,23.50576236871564,19.810219636605314,21.361603040553508,23.589846850354707,19.218017808581592,17.066639775736604,21.23088787314929,22.29206682373152,16.65291798841861,18.42673498118748,21.411945507998386,18.299950638234094,16.116758871278726,20.71972702765015,20.493077348357573,25.206199157039013,25.86696996937546,25.293344746530764,28.22475010894638,32.523625106317894,36.20940787243223,37.652499647056956,37.489685915020644,35.97235794198299,38.043276131309,35.23477254287089,39.36938998242213,38.74161999889784,32.602644569311494,34.869424821613975,38.643973365864966,34.89923776083074,32.43117936059993,35.723853988880464,36.43091818702717,32.2960727659765,30.967077634410693,27.588448213198536,29.020234914503764,31.896356193813528,30.75575428102663,32.29368761819317,34.53715643247836,31.593144881634068,28.3317257832292,30.067475174708534,30.0331357298732,25.3051028822994,24.800979304610845,26.6439622473534,24.43253877531897,21.899820550073283,26.76584026602087,26.909100931806616,22.6281901731826,24.671213478441732,28.643705504900435,27.811112477518126,30.333287094716514,29.07276898487148,32.93238342685469,31.883823026138142,26.440617201489534,29.8501874568252,31.851929476310104,28.896916867406862,27.372849280164715,33.37703068155984,32.661563222974685,27.57987896052826,29.773882569817452,34.61851624351598,33.00050227211065,29.302388693403003,24.8229031036629,29.29817543559415,25.642458955418206,26.110233445431152,20.779800905453065,19.555797738678955,14.949543276968466,15.848477152717447,17.20058586324821,20.711589583426363,20.226825248569593,21.026892177772396,16.57668978987419,19.306947828662473,14.943230975772728,13.804565986858902,17.300761876280184,19.338051067450323,18.472610771600724,13.826787491373999,15.106125732050327,16.72851320212369,12.692780756603906,10.262190337771457,14.862040222408819,16.011486309109667,15.690741557457814,16.890572143334495,18.749019315246457],[17.187250374527643,14.940097544984129,14.014150101980258,8.308040430645983,10.053918018916551,10.4656431607333,10.537202446064978,15.042520907578009,14.124970995497394,14.302428536397105,17.499626989543007,20.516924128319047,19.077536585802942,17.190189451952648,22.379029390507313,23.576280976702137,21.289243814065312,25.43674394503068,27.039364644365424,29.481824071860775,32.365152670832444,35.69963188115862,36.4193630920243,35.06487161403209,32.50049278616902,28.653042019805742,26.843534198625857,23.269056505243825,24.888177999608544,25.117155117406565,28.917221721327188,28.41592372265056,32.25283230581048,35.507034765405194,32.8851509157592,30.66723413516284,29.750550792742814,29.341055011495254,28.639202808210253,34.342660232152824,30.97389026898609,32.335836596318806,36.698880601156155,36.12767923055166,38.40743537324422,37.966858825349206,42.15338202455865,40.22190334855093,36.08633531792348,40.891761294160254,43.360707679266945,43.93366748844339,44.203481741047746,40.56130409402706,44.439164387217886,45.62627161930502,41.319456279151055,42.12169554051912,46.68187924847043,44.846733052533935,42.508427506675616,43.56949035623837,41.77537955013768,43.284177798344444,40.87693660714506,37.14944176242335,34.637840231434254,31.931351544460014,29.328926899782637,27.54742553907659,26.734947446978612,29.35241937462695,31.093134139673698,34.10763791047468,33.469828966708846,39.78041880994681,38.086670715391236,41.08996877199648,39.69547384816789,40.69001725699688,38.49977724457511,37.65100767684527,35.700050187873046,35.63638479152092,32.24910557727514,31.64866608698011,33.56569481269087,34.89816554787792,34.51982358547128,38.01076908712304,35.708643323055014,39.02387214123148,35.737833993517505,33.911863244997285,29.190726305588342,30.046272948875856,25.73871995911384,28.18741082369984,25.808007925150104,28.001558020916686,28.539636134480535,27.840991092364558,28.80808736901663,27.165235553019766,29.529290530479553,25.347073239623487,28.12105626319235,26.61628248162361,23.021723275961268,23.000145322820327,18.50366704924029,17.72979159899598,14.484814052685545,14.056398866651445,14.845462895342477,14.287115631596174,18.001297438011076,18.22858537530859,23.364475118006922,21.97748718207523,19.089323836097243,16.219341248200763,12.880722531256868,10.791921880191529,9.196469441344787,11.032030614715046,12.156422615317137,15.105673792405979,18.275716534222255,22.70287047943475,22.192928206548544,26.74140699709216,26.8470983908914,27.753132062396507,23.424992783660937,19.34925893886645,17.519664123020757,15.35811815414444,13.64310975622911,16.745807530132286,18.31768836701541,23.239258441157382,22.448191198271626,20.29001147629374,24.048904211539558,22.542959743801166,19.3845817508657,19.308480607914206,19.26035758184441,17.25426193660134,19.512191235959676,19.945599158331152,24.692606006825617,25.31977591982529,25.527173471833958,25.50513275045195,22.892331364268163,23.323064489224812,23.38999749278323,22.732957231394536,21.648418647703984,24.14045183287393,21.42577087209924,26.089380548169142,26.409440152339293,23.50727926790034,25.874638335479133,27.423660170866924,24.900785180807734,21.310471500892877,21.851016464826195,20.232173730312358,24.356611605693544,25.721632359282243,27.05225047128928,28.627178386096503,27.383161858639625,32.729740205093606,31.422982750623678,32.41978335859009,30.224237482974573,27.11607889127971,31.001567443023145,32.952017162431076,30.097588519681803,33.81919184581676,33.830304798094076,37.373668005764515,36.318984481911336,35.04227655036293,33.407869094154655,32.56128186980926,31.03686298291871,29.517097035912705,29.969712153108702,30.30094753374583,25.708406718136512,27.348598827600817,25.164678056959673,24.101998324780517,27.218500226820126,26.00125695667881,21.960596281265953,23.182640555069373,26.290470905160667,22.504132994898626,19.238070751891687,23.90580157606756,26.135504355902775,20.514008216803717,21.748503617174038,25.26855795478169,22.912229406265084,20.06309165282934,24.231918324923363,23.24799582685429,28.61741399418598,27.640745552288692,27.60839330840594,31.08326465141856,35.066324936435926,38.896437600855606,40.102076689544404,40.29654475475923,38.479536470220154,40.53372890750197,37.68842068746615,41.339373292959706,40.59383518893942,34.34825212105822,36.40658149022032,39.69499998989627,35.7673592658505,33.19076635539279,36.11902615686515,36.41083081904244,32.287192073685794,30.577705421890347,28.126169577500185,29.965576525507945,33.25338541489653,32.963915558695454,34.82087192526953,37.710817747777405,34.722364480883996,31.093437061983682,33.56139392328624,33.9631435875638,29.055839833604963,28.564246318278336,31.106212232934602,29.242814339260498,26.434543229986904,31.229108531988345,31.891553683052052,27.826805236182718,29.274235028948166,33.17137280639138,31.82436983460835,34.16844345556916,32.59530691686361,36.074375731671026,35.15660524645905,29.47511824950574,32.38985754149183,34.194599311816695,31.209063267930507,29.06271527793394,34.90554333218824,34.05475483004964,28.639850942959765,30.38600798373622,35.232696520487714,33.474733963991845,29.520805660464422,25.07482753727246,29.01731810764047,25.2301725020957,26.848591538578297,21.475913881929934,21.065158535450372,17.201139936124658,16.56707267239225,17.364385045989778,20.180572794404668,19.595498858102122,21.516613385621735,17.211978873268436,19.99358838646539,15.589780989594125,16.431917861338807,20.462824793383035,23.166456552561254,22.652524285542576,17.737659376874664,19.639655529775734,21.94028615188101,17.693156597373193,15.618569596018792,20.390017576875824,21.947457336420293,21.701288972963177,22.730733680070838,24.42559669387582],[14.402481881880387,12.651173914364415,13.14604947735693,7.5071054927606236,11.8406995319291,11.554786683947382,13.033935919187789,17.310727504052252,16.267578107186704,17.37496204110882,20.235151493297472,23.026448108665218,22.51135620372181,20.483796349952637,25.594486229291388,27.06709347352575,25.218585983630582,29.399817391462367,31.14340751790915,33.75160371960238,36.63087347112387,40.08562525259929,40.747604276643784,39.39930104889203,36.935267027165594,33.01765567160974,31.292418631462706,27.651199216300594,29.061098188874677,29.041103865763617,32.48638378434778,31.926663960594098,35.52709335012195,39.03116984401445,36.65100806063496,34.66309920528378,33.714812072744536,33.667742671901166,33.07951779615715,38.7990216166545,35.49951313950572,36.81073291946349,41.18906830927437,40.6631461320417,42.9489449772983,42.478654353776065,46.67456533650819,44.75981084042139,40.59489427469588,45.35086060690625,47.8434428187197,48.3710117820193,48.67932878604075,44.97312990771499,48.82237130622489,50.099530356238475,45.798251167169816,46.49006171094347,51.07727749236531,49.336130549306546,46.930203943687374,47.85117945652808,45.92670804347341,47.45408192043098,45.17580790162172,41.42205316860827,38.735210987366656,35.908056563195345,33.146272071718435,31.085273360665532,30.216014165812854,32.535812151179336,34.438699993256805,37.74862432666483,37.15798380582762,43.48941837587352,42.0766889878242,44.94844014322776,43.739256021012,44.914779503982345,42.657948206484924,41.94919314214765,39.80010563443991,39.84432998497179,36.607794048269376,35.91281092741408,37.874952849528604,38.95085137335912,38.635878214365356,41.82104823560638,39.438363684025575,42.55058376298305,39.08584760809199,37.10213253897521,32.35386786857911,32.82030989517833,28.46965783493365,31.090772418948838,28.56730710150363,30.287257971003896,31.622174401542154,30.701298293529348,32.27091725719704,30.38341446642522,33.040700685975374,28.589376651419414,31.019493066680578,29.525224604053523,25.576979293949343,25.670362669221646,21.094142977820887,21.16549249222152,17.878563813189515,18.14817763692215,18.96842746648806,18.71875405864968,22.357049212042856,22.628392151520256,27.577133340320117,26.06657069462583,23.062521345234927,20.13426675391088,17.069896193316303,15.101447851012086,13.222156454087122,15.2316758940362,15.119481774013048,18.538170163472504,21.355135597349207,26.06569090723483,25.192751621987053,29.682235371257402,30.208624045440047,31.267715974142217,27.099428757444088,23.222689811419613,20.88792288683344,19.405750885068386,17.973977044769835,21.224103105732855,22.66566857680165,27.638617506217507,26.941536692859998,24.832272654858134,28.579544944631735,26.963881593060524,23.80376261269851,23.41916488950562,23.089367972202893,20.607626696676288,22.28381256827277,22.14263862258516,26.66268878542681,26.441587980537925,27.24113886521619,27.84189188191193,25.72515846764816,26.26574044251295,26.8686264988323,26.24971179438545,25.69157874544469,28.403923887250343,25.87302863562496,30.523542615261345,30.766667472120588,27.78002220347589,29.916518792968805,31.293367022526198,28.502807376560305,25.153418270491287,25.719950383532986,24.41913934960659,28.572943650727083,29.896917969533163,31.20463083706966,32.538703644051296,31.31108178576432,36.59256716789967,35.56244745910729,36.4110430102958,34.38873060065735,30.916473001346322,34.81276476966623,36.80924470413257,34.125270158309306,38.07769597216196,38.24952186849633,41.77446185076531,40.6190533052534,39.272531398377986,37.50215669124822,36.54532728183477,34.78040260063649,33.082371925757144,33.27711860923335,33.2010480471179,28.473443431945086,29.772875385994485,27.04595433026803,26.11802558898492,28.55742237272714,27.327722227430186,23.452150687997783,24.011983327942712,26.77748679862506,22.890608968234964,19.300713416543395,23.604149015192505,25.737087376191376,19.69673496802546,20.488849526692203,23.829102460789407,21.390641323994792,17.998381095930718,21.977318531730724,21.363073644186123,26.73125772489523,26.159162577970257,26.5833985385939,29.900601712656318,34.237591254398026,37.76754091190135,39.44936083718844,40.005165917313434,38.63508153998192,41.03508840957966,38.60064638588562,42.38771584211112,41.25182778062177,35.17775050283667,37.70573280266816,40.87607222531206,36.728527352775764,34.54910991098573,37.84899609071212,37.70627599556424,33.407932716470754,32.5450776236291,29.57403334370908,32.00829665665123,35.038194394115955,34.256842648678614,36.350459985597254,38.86215650714773,36.25698811527347,32.55289093636853,34.32525063119655,34.86284865037185,30.152543066382467,29.088783318690712,31.249053636844366,29.286088295371417,26.225032803279944,30.791741145735696,31.201508968990492,26.81301935654902,28.136725524753892,32.08064273102631,30.9366656927986,33.7384768461686,32.71379285856341,36.21219412368679,34.68299633793459,29.196083654577706,32.66927647608493,34.03768291554275,30.80478592395708,29.331723982786954,35.138417003931146,33.71927289311166,28.475648596518937,30.904055577428245,35.41412555223091,33.16268335898037,29.27963280706811,24.601134862712016,28.287248561413953,24.12719561483333,25.33066804904021,19.943164084247346,20.07547449190265,15.994153408807701,15.051722820495774,16.715545286595855,19.765854314811758,20.004421555035393,22.06851458653289,18.46647264343738,21.879168034025053,17.929971182196013,17.566405681918294,21.979566775081906,24.102188040058472,23.915794922126448,18.968966084286656,19.75745758468335,22.01553389108395,18.499581511192726,15.182978670972458,19.444236576080726,21.122700938122907,20.961504195066063,22.202944154976862,24.074436831100808],[15.95295736564799,14.419053700336931,15.301650405272808,10.025551586684609,14.461237129922383,15.08009635429251,16.667640060406747,21.02386642704867,19.99339157465666,20.85869950970147,23.676492221966452,26.64785968609863,25.928344034215538,23.647565908737352,28.808813104118563,30.353222495382507,28.211174764877867,32.21292113736693,33.49858514307119,36.27536911421132,38.88831275584647,42.31878719131912,42.71965299079964,41.101959357437245,38.87918538890336,35.046059183411735,33.59731882329195,30.169714236975814,31.930889242065664,32.233381048195085,35.64451924016729,35.347127377612225,38.99320240780691,42.35464698485713,39.92604945223418,37.725522295951514,36.937512028512984,36.46781984308519,35.706831678129326,41.3475289746034,37.7977351808384,39.141868286541246,43.53798718017734,42.8826648591027,44.892382005076726,44.202280827814846,48.47283418636435,46.86962388802632,42.60815765047848,47.20538007648532,49.93907785122454,50.66305678096355,51.04133712010068,47.55197100279121,51.51924797203746,52.60616531285619,48.29091585906835,49.232527634351335,53.742215546448804,51.711672838864594,49.342527975188226,50.45549572875228,48.68657334075574,49.935573226500146,47.560351135808034,43.99496922398605,41.13009066944285,38.56271067270405,35.543829741880224,33.72824069131445,32.58425217043981,34.731445688384,36.97188268727605,40.17222156967459,39.930923523259075,46.292293297945506,44.90472663015481,47.96834392803647,46.73778302848163,47.79848851921975,45.70628624281008,44.83491333832093,42.896141516502574,42.73515364589984,39.29954315556643,38.8464602330375,40.72775416956159,42.108416892394054,41.59428604871492,45.008076629974695,42.51363788539573,45.57800497170361,42.203617245962704,40.38027456723341,35.647121479979205,36.07818053451991,31.736618053443117,34.60327389946851,32.18929147325415,34.03094188119703,35.26059644342708,34.36909622833537,35.77759740785998,33.83554406983876,36.181779437937706,31.723820757772106,33.987773392680054,32.19273593612014,28.257157392136147,28.732259916700663,24.20344616805185,24.299896344424905,21.277042293454507,21.172147854389788,22.026913934093326,21.29522423584467,24.86909634111669,24.568355172305928,29.561697423757042,28.540657029582515,25.373370397216423,22.73174073171775,19.27213483861309,17.759257982287412,16.377302820602058,17.93997230182544,18.211476619356716,21.29724493165515,23.95498216446882,28.717224406073147,27.291526205061494,31.836165719225214,32.18055791502538,33.70008951826691,29.19569035570386,25.51225433555519,22.605922748593258,21.269013335558956,19.695668081627833,23.17141056073332,23.948565993623433,29.0004552963533,28.777742894058687,26.914977247132594,30.880063110585652,29.64370825596521,26.50122144069626,26.534189764178244,26.354301168427863,24.13420373720653,25.870879832881855,25.889549826675243,30.377629933834495,30.13221119411458,30.996190064530094,31.597477942921177,29.41932283515107,29.892176006377152,30.376218853293878,29.578821448169162,28.619297113721668,31.308555448895735,28.283872765890102,32.98905028336615,32.78837597602096,29.279826466242007,31.44825863998838,32.33670728164631,29.512280900358533,26.329965561080826,27.28308993441945,26.33464186187858,30.827406421067455,32.48903870359528,34.0608242021089,35.645569908512485,34.554544838221524,39.828771210014786,38.51936459743059,39.364535636161065,36.98563475446429,33.73900787063009,37.28722787544477,39.035683968101665,36.297649389039066,40.30327017000412,40.48891561478949,43.93383728250235,42.39112644975885,40.882333349279385,39.00338465673543,38.079932271517535,36.24639625776143,34.646888896197154,34.87459624937506,34.65984387892665,29.958941027499463,31.446405836562814,28.632913491752937,28.244609127891927,30.46042841390161,29.674151379501996,25.812195194753432,25.748910960748272,28.675691312133104,25.111870516835697,20.874023175663634,25.04595103252676,27.68205112393645,21.559521401508913,21.76481485235702,25.170016778330975,23.16980689269536,19.231573641364676,22.672783324295075,21.88510099978334,27.4570389533564,26.226125930095822,27.261803366987007,30.702888941172287,35.024018105965716,38.379421839946936,40.23592189743645,41.238348523764415,40.023796720426084,42.63270986007541,40.492058493509674,44.07467429263466,42.603594969516564,36.66251896497878,39.380978625270416,42.16607130500463,37.8075530006972,35.886104729481495,39.21751876239021,38.53033031746758,34.17257346663051,33.741488944556075,30.939936027886677,33.975269579561875,36.99754776702295,36.33072434424328,38.74453587741068,41.32243009418667,38.98750405093737,35.0615738488275,36.72816134586148,37.59962108221355,32.967387093746055,31.535150653270577,33.80003170317118,31.988137142122497,28.6508745719809,32.96747090878177,33.50673996599771,29.10088334924982,29.98487946414468,33.85432939363792,32.56516935539884,35.528774122539794,34.71070648649218,37.968889350213296,36.11584440750486,30.714237502934356,34.23810746924714,35.17687444928873,31.811244762080918,30.489899823723505,36.08217393595067,34.20931987547386,29.003175672818756,31.618255314258487,35.80983013920576,33.160452605490356,29.25990464136844,24.557103947981023,27.640764247488978,23.237718318558667,24.785317994600017,19.566356971647245,20.553996508444733,16.968728649747483,15.01167491962276,16.863373484026397,19.506557584514667,20.294443869535947,22.98174042615523,20.0930539440924,23.822598311741352,20.302686606034168,20.104008075461216,24.884683302507955,26.925033128023532,27.140226816209406,22.110373058056208,22.50937811956552,25.047680896376495,21.92436595092595,18.140585439899166,22.103919540925872,24.062233266966395,24.028258260667144,25.321321147457862,27.222021583115392],[17.196495453762772,16.59817762681355,18.690633888763344,13.94037010784809,19.084891663458567,18.720846800387758,20.502729184387544,24.535695144155365,22.878175742802185,23.90950159423015,26.231608401057976,29.27198096046519,29.155618673302897,26.383756287564502,31.392906406709734,33.338913305917465,31.476128433813685,35.303665048157406,36.5165046395369,39.666925039175474,42.11749629887768,45.796411864564426,45.989796999051286,44.40745287794984,42.45403477975602,38.465433895310255,37.336734947861146,33.864410670584604,35.46555889263842,35.76395612869931,38.48777174732199,38.570154602412416,41.91563776106575,45.325764484311385,43.24375124782842,41.123158617372695,40.650933420282556,40.331416153508,39.805847265750955,45.648863040288376,42.042927538264195,42.96271526933093,47.432465788910555,47.037486780763054,48.99657803884882,48.449906055478216,52.737834937570796,51.140270405566135,47.04671738884359,51.74047561463567,54.43354211361518,55.22553677848112,55.44221779038924,51.963167300976664,55.8129843311213,56.75869111544911,52.35265622727097,53.164209061631745,57.63985893192799,55.64288027747456,53.009897884168005,53.882451063972496,51.97102624540026,53.03031793198486,50.87838762832414,47.39216825595108,44.08547759005374,41.49173010685393,38.11996837899869,36.09617953340528,34.75322357836742,36.43359714151973,38.992445507968625,42.46295796182425,42.50738882076261,48.87394212685046,47.957671314108886,50.989550667841705,50.09597676965704,51.434403791656116,49.53327410916689,48.95703752929472,47.09370932541062,47.17145716958484,43.73342649274933,43.023254226290554,44.644196743015115,45.90096961497871,45.076290474454446,48.2078091691622,45.425532658127096,48.12246968261112,44.64489363814379,42.851573233161716,38.1636422968847,38.134911584003895,33.8400143551042,37.21273496680685,34.94550224201128,36.76301896859982,38.528944462858796,37.96712448693645,39.64281283495894,37.9743490553633,40.71292532547418,36.25955615467457,38.58594431992451,36.96407624849613,32.93720699140429,33.21813006540238,28.653398173418594,28.839680258227954,25.484488797700827,25.56891208834707,25.85797251505257,25.25043975150892,28.542069138590236,28.215097870881827,32.73642848778514,31.656684088204866,28.311875534882496,25.774188275190255,22.664004871665433,21.5342691427392,20.348521374471595,22.568238608330002,22.766075094072608,26.092699234418724,28.798189836285264,33.5687073229071,32.265365513041125,36.78125564514776,37.20778281348572,38.641964995580835,34.201956858319484,30.45001924126832,27.64526775466793,26.177359347466574,24.36355048961899,27.69157023530067,28.038093753576184,32.98851703235882,32.689613939089874,31.084569731613293,35.07216920180438,33.72570867266343,30.67285160680009,30.59982964698901,30.57662162464739,28.014027145902592,29.76194195021143,29.142886215303477,33.62271380222255,32.598650822048874,33.55491750948628,34.69856985472581,32.74584346756582,33.647829014092686,34.170279361675185,33.87199770613104,33.18492421732104,35.61714657627137,32.80672327959305,37.49462891181532,37.51721234800097,33.96077024901182,36.33088638737148,37.122424132670716,34.39577357043911,31.185041199098915,32.24093407004613,31.19037524968685,35.65077404878882,37.22145773892853,38.61430294514591,40.08801026651144,38.68630275126142,44.07907338209233,42.95886922061416,43.939855126372606,41.72537939527317,38.4860446566154,42.20084082120167,44.006314446502245,41.22957562725008,45.107365265473035,45.11034074897711,48.591299184157805,47.11432569069624,45.65886739119816,43.84335753443898,42.99092764580388,41.22890719147608,39.66920624665165,39.907003828244996,39.643451765144626,34.92822968465259,36.32777830444971,33.35869932295425,32.9303622562924,34.86732358787653,33.94337400582195,30.21702834871926,29.988623370743152,32.59795166499303,28.930111944706233,24.816724759824805,28.612048042920748,30.920015215111025,24.70299406321069,24.679009713767126,27.70990971899585,25.524590522544376,21.437472638941518,24.561816525165796,24.28954020807022,29.558182183160607,28.856070955636113,30.268879352020694,33.44137833975669,37.98721329092959,41.0210255363429,43.274486386458776,44.5150481020563,43.649325694869724,46.44465631597986,44.53828264887556,48.227637276143604,46.570720531856786,40.78277362564953,43.72427555821543,46.465542446472426,42.03073225095328,40.330412191698294,43.80975291959777,42.91715051449631,38.51574059285772,38.47033738868591,35.47726181336586,38.66542529268386,41.55705249663461,40.60222238327186,43.01773172813212,45.3029859429355,43.09098395384215,39.273958635460666,40.5107271577494,41.27235204779647,36.79302273915296,35.19599928248396,37.02951928475848,35.04763019605103,31.770119219134134,35.90398151135705,36.07117053544318,31.44062407801528,32.44687489971877,36.29193761079555,35.32561069589492,38.60685987495672,38.20490744499619,41.513685716049224,39.26454516319912,34.12218397563336,38.00152676945438,38.671918654014966,35.19146934231767,34.38109905428151,39.872473838996385,37.622681951802576,32.652608473556526,35.664137743749166,39.558817722544774,36.571008442619686,32.80104694313196,28.06711618743333,30.73936271242123,26.135350774371087,27.35863671110702,22.419587453803388,23.87587826047895,20.296972232405036,18.25520340861616,20.626001501633723,23.21885807396784,24.519859679260325,27.226227008417446,24.688221631687934,28.544306166524958,25.08981937987123,24.369453983758795,29.036442968409123,30.74669898994377,30.826066664844628,25.98088620453949,25.912642784487165,28.047202709410456,25.170010038698614,21.114018256227386,24.555125438518836,26.150813037253396,25.937993169400016,27.207770833943197,29.01416944145451],[15.941993176622258,14.909734745635577,16.626824221508798,12.680468365847616,17.663660371396062,18.86208448255801,21.214835174719727,25.46939188205405,24.86583102971441,26.193933178912122,29.01342571418604,31.747489958575294,31.297285120238215,29.191155983888038,34.3268291765919,35.838069650804755,33.75680602299565,37.799011460964785,39.026992864646,41.74929514783671,44.321089222853125,47.65143923340418,47.998944385774884,46.218085999993676,44.04514561502238,40.337285136308765,38.88198935134033,35.5551643005626,37.405187971371326,37.64055747347208,41.196500064163814,40.69743422696203,44.339656148575386,47.81413639071459,45.34992578303812,43.209079466704935,42.236359935692896,41.78157978822529,40.85805065913624,46.29236811818044,42.73348490991011,44.37170174014155,48.71384440691441,47.82773668586663,49.71663627057852,48.75537150060931,53.03983218710076,51.64330396816942,47.180641545574744,51.526159355381644,54.459709126965464,55.18412377131735,55.781729852663354,52.35499887153586,56.44765251976094,57.62521354732177,53.389258877832305,54.46542239240967,58.97384067853201,56.8458625080549,54.641698672173476,55.9039878570371,54.20597704727692,55.45074868402168,52.99026641682288,49.45887070591285,46.66277810586532,44.15630521553056,41.12869375146866,39.34711117591735,38.16180400077263,40.2248226767797,42.55658783601813,45.76048010832714,45.55541060122108,51.91568117889018,50.48353202591599,53.53526635235742,52.23313599857716,53.19877480094087,50.98862291361351,49.93968747341009,47.864047348381,47.50435150814531,44.12473140540043,43.91528313548183,45.99545786575193,47.379678510151216,47.060848111415254,50.49755173614985,48.08512441886533,51.17460362315498,47.76552634656555,45.864171327676125,41.12174776189103,41.48591659460897,37.13818721101412,39.88434268944373,37.31344029798127,38.74783080922225,40.27754210140773,38.93829497596353,40.625317406970034,38.21675936563876,40.34295924336793,35.664193521770414,37.396856343888565,35.33059660751801,31.22004594483112,32.171155831662475,27.76408881043265,28.546190127774516,25.9313391187861,26.06686416395012,27.386686991428277,26.62486856878695,30.2911044459217,29.813210694626104,34.94111993884887,34.09665909689172,30.931579964849426,28.334235602133457,24.7564671361202,23.213322422329178,21.665211276454766,22.671031093078174,22.23156238936298,25.244660288340228,27.390673615638324,32.31161274232338,30.161850443967147,34.56816781977928,35.17381567237316,37.15840800542827,32.661706603827895,29.402824133817486,25.762660718319424,25.258316455957665,24.109454090500375,27.826894900850913,28.533615661500406,33.630840902283445,33.79027628367398,31.90694588711215,35.9074337988444,34.84536107631995,31.65874173122309,31.692002229804697,31.218580013859672,29.010841976286386,30.231938760998354,30.31377326294908,34.44648489550919,33.945427451773455,35.350198111132265,36.13335922283122,34.2595346655713,34.458311754107875,35.340786453790855,34.103910692665515,33.221176399239745,36.28828731753391,33.04702649651917,37.74279852001548,37.060881455237606,33.29207400803026,35.04168580044497,35.538050302587465,32.40437048376413,29.68861189439027,30.75053308092518,30.385431483427872,35.029106458215644,36.88045864307252,38.69976844860866,40.26182167591591,39.510416436011084,44.600484909323626,43.26951504484968,43.850890653363784,41.32824297322772,37.86215370672458,41.0528770215415,42.640778213488986,40.11450121745312,44.454996948557415,44.9692463017378,48.29419985291954,46.3792664602602,44.678194599073194,42.53681207845791,41.51128381115232,39.32418865093214,37.573245416942136,37.52394541686012,36.80877721353886,32.11880365348663,33.374347864618386,30.141673818365515,30.30296132260363,31.74624523410703,31.400769140383318,27.810750390222616,26.732022901322512,29.45618375375504,26.331559611860495,21.52042298241107,25.06595478883111,28.061084587334435,21.982706929647478,21.294304633321754,24.483511226286605,23.114354669294762,18.56768933674024,21.027491692386352,20.26099517037838,25.75247983890711,24.115746349700906,25.974955425324747,29.30616761371056,33.67246926087211,36.62746364235787,38.875333300627354,40.509118447081825,39.75168000907067,42.735450023472964,41.19946541940586,44.61357650566716,42.5870204181859,37.019327359050074,40.18717007006237,42.49756146678388,37.89407487567932,36.54155097233388,40.117794261732854,38.68676987609237,34.2637968040306,34.87060739450683,31.846756681054167,35.73739833085974,38.478536561904654,37.57146581535833,40.418104351851,42.767312882677054,41.03338208558691,36.89086404962373,37.96873584129916,39.303087254068124,34.98375410962594,32.830855696023214,34.97417956717367,33.378189440813365,29.66820971955948,33.42403319705573,34.02917664201168,29.637721010997442,29.841706282321947,33.51080496519369,32.16347704306761,35.449256062734044,35.176565480089884,38.1031188597219,35.602838931188586,30.568913108151946,34.36778925153852,34.585184633213686,31.041680089266546,30.35983974546363,35.556674617375336,32.94586245372778,28.08677623661562,31.265813279924703,34.812485909794624,31.560726712363568,27.85029916327003,23.182705444801595,25.457673680760255,20.801394978185336,22.180056750065305,17.462490498794576,19.527758081190825,16.665691168842905,13.806452836017716,16.208524362283935,18.42837936838405,20.22972084531977,23.245657583045926,21.64852617153382,25.828612251542527,23.172520674792978,22.375781560949836,27.50986615545282,29.053380975143273,29.962326343914146,24.991699266391088,24.36679974030637,27.18126382095509,25.062093012972973,20.36433512251398,23.53580228074038,25.947630556524235,26.230317080593718,27.67138320829021,29.680482091272435],[19.407168860871437,18.895283111375235,21.07033264875253,17.28116317480824,22.3078640558227,23.304456694028005,25.558570228976055,29.774159783744945,28.788688353999245,29.942125949262262,32.539738823272316,35.47255585997943,35.09602176599693,32.58644585589595,37.69286919657227,39.43467978647153,37.281711784060555,41.12094413732198,42.02514117138058,45.03557822099447,47.35086159610505,50.791457650756186,50.86386845321367,48.946975470474335,47.07441480343718,43.34412056454519,42.232303996861766,39.01170084014569,40.989758617316475,41.443860333175564,44.63694627662966,44.52588025375238,48.068318156143725,51.448504077281875,49.11684829292341,46.855501389964644,46.17502677362534,45.50727481766539,44.61544906057303,50.13118459610607,46.38133983758196,47.773340994728784,52.163789262257026,51.3593695243583,53.04518065732742,52.05201788595607,56.37986802004713,55.17772518524219,50.78317155244662,55.09594639303299,58.13868415072444,59.0378100721117,59.562119391816566,56.288610998117385,60.38012812872048,61.330460910999406,57.030102467815304,58.1948964376114,62.62807127873488,60.32537672878284,57.99199595724722,59.24741823885709,57.58141229850857,58.534920817502964,56.130819768566155,52.76981811211422,49.63317111588158,47.28778945609677,43.93402033026564,42.221813088962534,40.7782407032307,42.51923703034234,45.19636580897329,48.43506552506495,48.59662302702482,54.97048371957579,53.78738328777772,56.96138602563511,55.81759723085108,56.85336046477729,54.87482380008736,53.891556252435294,52.02637364557614,51.682808145104254,48.15460212302276,47.93214719248206,49.79074816807446,51.32498175164233,50.681320614506824,54.13988856832361,51.49790362135138,54.378065743828955,50.99309171367895,49.231910177481474,44.52054216281954,44.66958432242531,40.35394969140708,43.50956453437847,41.104946978987165,42.70444155320256,44.34365543589856,43.277962100501775,44.92177112484078,42.71368903530346,44.87802426355851,40.25184961880794,42.03573065623621,39.927882860022834,35.84858077287468,36.821764807464994,32.405392637027155,33.054665220709424,30.317137309599676,30.26944997556359,31.237292583300764,30.272217147530156,33.741205764167624,32.94981863268472,37.82110970217397,37.231253517087836,33.902549730495004,31.525291348133898,27.927781152606617,26.805068561712492,25.626394978132495,26.856737160921256,26.787949795600113,29.745310426713402,31.9496947800937,36.83632305864301,34.58958651608253,39.0095029701479,39.46234115958232,41.59347630906438,36.930526269616784,33.681686697195076,29.965721127085917,29.281163315089316,27.845447075468034,31.52279798496419,31.62288280632265,36.644079150745604,36.999279190180424,35.41188027345286,39.53342319064959,38.625039564701964,35.50529932212408,35.73910815421687,35.49881787361951,33.27582442640932,34.680241264821944,34.553821712260536,38.76733586269942,37.962470110041004,39.31648648647726,40.30171128548346,38.40949284343098,38.83070773428455,39.56042478057175,38.54955814626113,37.52536107971553,40.36610582659411,36.97095768246669,41.68111618709545,40.92407608845639,36.86923142879559,38.81600768906903,39.00062581864499,36.00617306731753,33.33144368877484,34.661907369587134,34.34147804344295,39.12037066363777,41.09735711051395,42.942839947525265,44.622449779103,43.732208604619146,48.92450763041641,47.499129546192435,48.20446781230787,45.553953476432525,42.30036532877868,45.41391846059039,46.88778833737095,44.26762640491575,48.48828963223003,48.84986837418162,52.149176886898786,50.07134469025611,48.336449156789456,46.21551918358332,45.28520288539617,43.17818661793211,41.56741722604249,41.60951314232254,40.8898573848729,36.27069433305183,37.653616805309674,34.43577526166419,34.81035168866837,36.12914196568731,35.920207037983154,32.385490518401355,31.08750486541571,33.755484933574955,30.75544794146081,25.85701875995928,29.154189992384982,32.17667909279071,26.158724357253067,25.19332510846497,28.157255636297663,26.9196683909639,22.26499832195145,24.226322929302906,23.63411717715998,28.880170982383433,27.127981028541598,29.452926758784262,32.65312063103146,36.99896162721968,39.655212679168656,42.139881473478674,44.11142508421054,43.57591803536542,46.701021191636535,45.39882384134914,48.71080704193293,46.466122518886266,41.07882965579964,44.36415637781309,46.428065357238985,41.73723737629254,40.5964319882562,44.166796661599,42.385480190842024,37.98921675672844,38.88680612296968,35.99696269010041,40.13895132918745,42.84428700122652,41.94158757388552,44.894163036087456,47.17829833623341,45.57576276938977,41.411450184934296,42.32865191920669,43.72877462534061,39.4970629554168,37.20607579608919,39.213038101520894,37.60753408237773,33.877184878621435,37.434339317065515,37.924022349520214,33.481614300708436,33.57620296147202,37.14272117443752,35.88916323074686,39.328975731545825,39.30629032641029,42.1091182527445,39.33327247474637,34.521794941687936,38.40301621262382,38.30138326655187,34.711389781606556,34.29090179027579,39.238781083674226,36.2692846021876,31.63407422810901,34.95903906037219,38.13858420227326,34.5727323496879,30.998768691276464,26.480070894290957,28.055524400268364,23.354056482472405,24.810666346634363,20.627821644800342,23.26686014333084,20.786699540153407,17.621384983377826,20.086766055801675,21.887047334642844,24.049789563901612,27.30562797682778,26.100562769760344,30.31960128202107,27.770622455187326,27.008554989106823,32.14542036651602,33.59729522188758,34.50539289783211,29.58526812342569,28.802346201161257,31.488295569628885,29.457024687947673,24.687987677631753,27.595793913679376,29.851634439038534,30.053310485404673,31.46014543284763,33.39084759017384],[16.398192948954115,16.539906447175472,19.58849861687819,16.61115394107009,22.306241976414622,22.48870724566278,25.292053883492756,29.15811253461787,28.27053635769097,30.10109498663322,32.5438378728767,35.079066340531945,35.401158424287466,33.13733391638907,38.110668009530634,39.89110687108253,38.247448556557245,42.30034544233344,43.73823605979676,46.64984165365893,49.255923038624005,52.77750575937017,53.100447868364434,51.43355040155015,49.335363176563305,45.477816656919785,44.09395527314089,40.61716789853648,42.176039662084015,42.168791406666934,45.25803646285831,44.79125489157335,48.14052581005595,51.824076362252555,49.669957572404485,47.76989431468589,46.853177608661134,46.81122237874948,46.10733719747086,51.68847275533008,48.22348048224427,49.64587888412379,54.037648904180124,53.33334660428653,55.312729908795646,54.47501122477247,58.75560604769707,57.252354918523835,52.86768584834509,57.29454719180183,60.14421020275083,60.79407774817453,61.32426100418308,57.774912131981225,61.765736187492095,63.013184532356256,58.736825948275076,59.60211087236661,64.15231599277227,62.19828212922227,59.82158888992035,60.82941532875434,58.9325558045523,60.21013251395507,57.95409151287217,54.36566258123252,51.34084211412619,48.65870632912483,45.4888750888365,43.38423582374541,42.18814043291917,43.94064130312617,46.36693212453317,49.88401523028429,49.700975741799155,56.056407294117804,54.98542803222559,57.87377724825792,56.83490341866809,58.07025658451636,55.83698626263277,55.05286081311426,52.81222437065668,52.69023920654305,49.4620325764715,49.00064955004053,51.030980288703596,52.10743358006006,51.767364734029215,54.822633728734665,52.283227585700196,55.10618414371081,51.52151977150018,49.48731548139322,44.771206743137824,44.72626058790703,40.420329354967045,43.353068239954744,40.74717779606123,41.82424373498625,44.069033661849744,42.73211515315924,44.92369145805873,42.522696235962414,45.07899907615059,40.28272430349826,41.88541637201101,40.030314650244975,35.73840436303612,36.52196704460353,32.12867337301642,33.321711552820034,30.4745059073268,31.082983996295976,32.158411221073045,31.73103454467743,35.30300198157594,35.044468042629845,39.90034867804664,38.78809740137776,35.55073182544942,32.86478264249416,29.66092806161467,28.135422903184043,26.406417348343084,27.92280813887096,26.923911815033865,30.29821125213503,32.348364251141184,37.33431312656589,35.2801771306418,39.55737813901709,40.500650807182836,42.347458624216806,38.11597407891623,34.85721063811032,31.288414120651158,30.933962396180494,29.815165603859988,33.45899357309922,34.18731621145674,39.26015842644802,39.246230396227965,37.38852932101587,41.3392429448154,40.02773701627154,36.85257598034854,36.55419402617913,35.97036690633039,33.32624256636395,34.24266289367384,33.714787744360876,37.6192477451098,36.287441536423145,38.0616201307517,39.4262645134617,37.976106284166725,38.429212581721686,39.6437862571203,38.704718427812956,38.342270491023584,41.41818049115272,38.52684283407178,43.21305089239455,42.75897250487808,39.120049139463106,40.83781405940279,41.390921758537026,38.18968071786605,35.526232877990296,36.491067102166,36.08309806646457,40.60499883606378,42.270439563253056,43.903846055417404,45.198172127566465,44.27478037592089,49.378289752429424,48.38739297873002,48.94368314797639,46.719408873656974,42.97652595315383,46.36637614938334,48.09464752434205,45.67404120140726,50.069452059938776,50.594202617267875,53.96025421304093,52.16056814382837,50.49976132252077,48.3455900226804,47.28205549406575,45.01650522221138,43.15002713526879,42.94180286355779,42.015206510978416,37.296104270784944,38.213430607864865,34.680830024979095,34.7166925626226,35.61610969834976,35.07232134360413,31.783234457527943,30.435795504804837,32.579937403911046,29.414018748220652,24.94274867995611,27.78561627242311,30.229535676614354,24.253685360285388,23.24355233054098,25.76816129648539,24.30197420097325,19.746628404739816,21.566174060561053,21.57324835370431,26.358830587290978,25.674200231915066,27.901501510318163,30.70351418788578,35.304296872888784,37.73869070678414,40.52053857354671,42.435172341942334,42.21782297426032,45.443065877623305,44.30664741933323,47.86645915417743,45.57869528498472,40.33517093435118,43.83024715770532,46.0987587794338,41.46877229299559,40.482000645607165,44.30828131063774,42.669861348710704,38.239007432293164,39.47579065074968,36.028837734193324,40.08511665470537,42.529005515931225,41.11532213011414,43.96982905857748,45.82711121120447,44.39538658253181,40.41221122179881,40.77572670332905,42.03526587183125,38.03685764979917,35.564194446470594,37.10177807725293,35.381908844843174,31.738493800906316,35.08571772974864,35.24650001004094,30.705051972996205,30.90933776112268,34.42938340803445,33.518154269908074,37.18455544536421,37.53609742294492,40.46364898133604,37.414196863557684,32.87928408252324,37.13499759817815,36.96457207591907,33.33988857454047,33.469258563984546,38.43777373160398,35.38045357531242,31.02124925510724,34.75006286208521,37.82943822980228,34.229452815028026,30.845447675080823,26.276995795885696,28.111776916295604,23.434890909697746,23.97598541389172,19.89016026290449,22.272456703655436,19.511427974407084,17.004363421587573,19.974424753341623,22.199768554404365,24.53499087325281,27.220426481577814,26.111717699941654,30.393546366501464,27.945060236277133,26.296830159989607,31.231493915178373,32.22014187120811,33.13892633520428,28.474536465672497,27.08597776037117,29.448972492636514,27.95681441538197,22.84674224493076,25.148384030512243,27.264440184232242,27.501028693804866,28.963399400144485,30.910428906207542],[18.720722262615826,18.998642855507782,22.062326092096182,18.234502709246435,23.90438052032926,23.24581908392185,25.50222313727023,29.276462868183348,27.566567921795535,28.9978060684076,31.049752238576357,33.902622431800744,34.33168730208516,31.48604748907137,36.34077164942435,38.46250716534201,36.870045452548794,40.65869920657488,41.90767184621278,45.191362999853006,47.58971780960579,51.36044829945348,51.46656832591685,49.878282754702894,48.04895972438998,44.02186375148165,42.99882329831332,39.50409352305655,40.98655629000297,41.162660955662226,43.578277295076695,43.692829064915166,46.82945383408904,50.36681120585305,48.4937908212234,46.516821515453486,46.07657876285568,45.95987023431559,45.51433195683663,51.38640035212866,47.796734524421524,48.63904440073893,53.122369789760214,52.77803880622765,54.710764314681256,54.14552997537544,58.44397711747419,56.887158777928555,52.78950419256053,57.448705502193555,60.17664303555024,60.96027864864167,61.18798419486565,57.689162981690934,61.51592279765127,62.48191760178392,58.06669436478955,58.81249496438913,63.29091032314428,61.33345137860664,58.62352107788905,59.38605838389825,57.38705138804549,58.400062056743316,56.36289023249661,52.89763021796247,49.41652766302454,46.781028953575294,43.27374770878184,41.09479027889336,39.690659004705886,41.073326713231566,43.77191525078637,47.42141944723453,47.56758060536667,53.90467563499293,53.25257325950783,56.19862909119991,55.478719161176976,56.96109214294507,55.06192070795552,54.60110420700026,52.64247400487677,52.7985073541261,49.4362614191466,48.65693040041788,50.26747837510736,51.374082346714424,50.53341410028136,53.439911568267455,50.566845704512836,53.05281827090694,49.47778348555481,47.618675486545555,42.97599241170493,42.631936521036096,38.400311054589,41.908389978722035,39.617680195096284,41.1203079538448,43.41663769518475,42.77194028761191,44.81325542059626,43.04105847817668,45.959576197126296,41.374486912880975,43.47605661655943,41.872707348122645,37.68393559575084,38.03297019976034,33.502044231056146,34.111634267610526,30.754450175067515,31.141699405520434,31.42087726377802,30.95278490307589,34.1861678001641,33.87079610672415,38.221935754487006,37.09958944946837,33.71176467652972,31.197874255282578,28.271915941927368,27.197593920681058,25.904447184778565,28.19104574804015,27.905972194585914,31.39336201238164,33.898568929380254,38.771047130974814,37.259841649445654,41.68799996297323,42.353151555737476,43.89268724758307,39.55110159499308,35.92505909414245,32.879992912078166,31.741824511129792,30.051143708650653,33.43173183268583,33.68161972829145,38.617094516194165,38.38438942693713,36.835527822763524,40.82370225080099,39.42521249370706,36.378461576380644,36.157486179340225,36.01123176532778,33.219231755306005,34.65576932998856,33.68665735819146,37.92281522289632,36.27960137787148,37.6033265340428,39.179649118320846,37.57137637217287,38.56680997624231,39.37626168493249,39.13933956647716,38.735825497232106,41.26209584409016,38.54366916985596,43.229797664254384,43.20615800030522,39.57891527371529,41.83226057009035,42.47737297516242,39.62555420955538,36.58801264697735,37.67547582752922,36.801818559139065,41.28364209596299,42.840753422302804,44.218667718229824,45.55805119060094,44.143254790528175,49.50226223857852,48.550768190292665,49.4583028274752,47.33911134398991,43.90841166895816,47.614343241276345,49.43096979640755,46.75470128389137,50.756298634532634,50.840164159887834,54.306273492985255,52.7473678726562,51.24211834029577,49.3379766230981,48.44601689041234,46.5386067704774,44.88747813289596,44.96913933229618,44.4339815520784,39.69576718499909,40.872747838607964,37.60270957251474,37.31486736521124,38.713319116259406,37.838843010375896,34.35251193404587,33.631206243695516,35.87348543797449,32.33034913152963,28.18868126737418,31.403282887327833,33.5283453229975,27.393617755889373,26.891913552754932,29.459226894778304,27.427508030683317,23.17004211829679,25.572756763566414,25.75209969899229,30.549720245285492,30.234875264832993,32.15673729423984,34.984430563331046,39.66526867573012,42.23095397749983,44.94056255446838,46.581334930794426,46.18986895000466,49.25679293210071,47.78861686339909,51.49868244720012,49.49215142729188,44.01320436152544,47.29464967076063,49.835505467219825,45.28646119282164,43.98547517231922,47.68289795341625,46.39028827795489,41.95436490438964,42.60883263918535,39.334542346663596,42.929185916459346,45.57865202675813,44.274010899953446,46.845988105031445,48.77918356411136,46.93431024733849,43.13221119620418,43.77062422656014,44.63551760263013,40.44199996457719,38.428870632914645,39.86162312797542,37.86974144051916,34.523852054918216,38.227050014377525,38.13226499580115,33.420540885369775,34.21975927861273,37.89523142410022,37.1847669846612,40.79697279044348,40.94717431853043,44.141645938486306,41.34961759915434,36.62804505372752,40.85597627777371,41.048848112760076,37.46180849092976,37.31819643718468,42.53831269931548,39.764458861299545,35.193569407057325,38.695038429225725,42.09451729519654,38.68239645429916,35.15870369019859,30.50058694621007,32.594069770199376,27.89458721468088,28.6565613612115,24.27456168061196,26.301632993375122,23.04634819489951,20.83878250407687,23.665836127838947,26.081379965715325,28.018355964187826,30.721855953758933,28.878798123675946,32.96343939835102,29.89139065254504,28.552458360674517,33.24512805860995,34.491362720161966,34.78985248017464,30.136563720562673,29.316359401991022,31.261827982893315,29.065279919893992,24.50474637855387,27.16741400898036,28.68645542926301,28.5170702287726,29.817778837147735,31.58859062573556],[13.024840325099781,13.15162619657366,16.373322001796936,13.173715035536977,19.162864172459816,18.53450818772303,21.38819335524438,25.069548075166825,24.09226160347396,26.170411900522495,28.53248578318203,30.899960768092278,31.508844625326855,29.38692606349356,34.26882281990211,36.04293054330987,34.69102502446603,38.853230170091365,40.66256728358919,43.480286449444996,46.2940549482122,49.871885882820514,50.40126294727326,48.977522800026854,46.69431410582937,42.73391032907661,41.15777765908762,37.49903361669785,38.74563787624951,38.47067250846024,41.475750017991366,40.84124876271279,44.092348836214626,47.89623821731759,45.84041526495619,44.14078768826186,43.137657958080894,43.4746531817279,42.95336997554725,48.63031161545771,45.37264606713678,46.701036442215944,51.08990353263176,50.54317187241472,52.76462674768422,52.15262222687995,56.37806852421659,54.584815916065764,50.311732029135456,54.91555973741542,57.53591789929818,58.02176874844371,58.453846493210946,54.71155995479673,58.572953447520376,59.966544461581655,55.687251321613346,56.30730177598678,60.91921510587732,59.23481058989174,56.78285403666067,57.582955292169736,55.52810122019205,57.02991953679676,54.891918466762846,51.148692284702626,48.22401217300447,45.31279154799291,42.32026393020189,39.980147587657456,38.992525348778265,40.839863379079546,43.012266366825486,46.65966248302565,46.205255811027435,52.52872279983315,51.496265941630355,54.20544131101065,53.23319774062799,54.60734366226208,52.262403166462576,51.667366053666676,49.26352653790687,49.360967474311764,46.305764935684365,45.595292195632595,47.649290612116864,48.44238779196323,48.228910927658106,51.03817650319576,48.56286483763344,51.373858800666014,47.70211072013812,45.53524731372869,40.8257400995671,40.74382490650054,36.4461884637752,39.233604138015615,36.56316689484466,37.51526550024644,39.93782894188838,38.628982754418104,40.99710853723065,38.69507905359682,41.577912389884276,36.797526596501925,38.56356591575472,36.99915953355118,32.669611269493565,33.09403238752196,28.64909464569575,29.853320498269248,26.774010070848725,27.70459186447254,28.670323748480488,28.617634136736488,32.192607262331414,32.36877592396342,37.14535122546172,35.62605518681705,32.49361266907555,29.602094685857136,26.73469124463878,24.949511444957746,22.92182092201753,24.8155343484157,23.501112545695445,27.161611622632066,29.34751094143956,34.306827263453336,32.742544379698664,37.00910593252276,38.10820894816493,39.53568362365156,35.57588763817719,32.119279053584734,29.008971839724953,28.488567595299514,27.41612809461263,30.89760861210143,32.084106618172356,37.13110094050091,36.71021091955117,34.68444094410539,38.471545998401005,36.83678476650085,33.6671087489878,33.027595969859455,32.34748963867338,29.454740992847242,30.29217079099258,29.51467929532995,33.416306077362854,31.952581467546295,33.709125808483506,35.17229918444863,33.8324671228571,34.40714160387188,35.73238354029402,35.02266315234526,35.032769524931794,38.07732979495026,35.62028350746508,40.262571550811884,40.222404098753685,36.998111298268014,38.755286336353784,39.73964099616682,36.56873161253927,33.691663187968764,34.364005317470586,33.62842446273575,37.88723576490068,39.258437848432905,40.63895165664268,41.70387288838027,40.616935203194636,45.73048672346351,45.009901098505814,45.59586396377375,43.70650284291603,39.78237595377373,43.50912996191706,45.471346708731524,43.07248107984751,47.39643907822912,47.86647360004616,51.31975700912571,49.888575521635595,48.37644768049982,46.3387784030578,45.249005565042644,43.069466868503916,41.12563824482391,40.913424221927755,40.13973509071801,35.34599511711619,36.11929954020095,32.628104112398866,32.15051601454041,33.27097150004498,32.26991351319557,28.93502928053588,28.144399722059813,30.154959033846094,26.57860198039166,22.617578020995406,25.679398263003776,27.630232129927307,21.50897659308951,21.062051784518005,23.612318990782377,21.53472687271219,17.29209358465693,19.9214053538135,20.166721825142282,24.969044332964668,25.07125823229858,26.64806766479744,29.405712250878214,34.16134533492107,36.84992476026076,39.483044170673196,40.910233593316256,40.51566544883944,43.55460476483992,42.08504096968657,45.90757479013706,43.96275229702138,38.498331411176956,41.83497225072513,44.54146811279955,40.07628519707903,38.79025219716678,42.62455314149565,41.54127364436843,37.09990659553598,37.87738722924327,34.226505619135715,37.739990737349146,40.21975087474666,38.66744802483142,41.217203275711405,43.00515459066237,41.28397394466776,37.504288761981755,37.94469708185307,38.85424604748813,34.75474754569131,32.60234168471362,34.000648279748155,32.06871679869376,28.650030593762775,32.31922423923753,32.2916223336745,27.619374775346095,28.349572994664197,32.05674965954441,31.322456056078607,34.91306279858344,35.071647057404064,38.31800022261862,35.563157227539435,30.837379861439384,35.14750128986882,35.44730626392368,31.886106041899296,31.847284079182142,37.161655564107505,34.5622623694885,30.02258450081532,33.62284976230066,37.14100566878322,33.926370625505164,30.44314871049887,25.72729701905774,28.360434996823933,23.771574827527065,24.032123266563527,19.419413917779526,20.946819056501536,17.427319776356057,15.770773963441847,18.777096712545134,21.592687880829352,23.432100271300524,25.645351866641832,23.820275626944227,27.9304617894187,25.082854752481303,23.17878180183802,27.849811628459847,28.861980178763023,29.40965911947905,24.817488256629144,23.622363621398307,25.69905128094724,23.939908703787633,19.013077727555967,21.51155852236147,23.36290057174854,23.456387198158463,24.90834898719662,26.86974079826774],[11.227370448689165,10.854984184924346,13.63132805796285,9.739020085058833,15.725975679120763,14.365189380282354,17.055795707548068,20.679951551980903,19.59691585388432,21.74040416772545,24.117868387417346,26.42544264041019,27.079713137483626,25.092400616465802,29.934866245733136,31.651866199938024,30.451726782825475,34.6939892506945,36.77581458981004,39.47678660330344,42.45136975344327,46.04004885606546,46.744821982212045,45.51794616463774,43.07567176832039,39.05948611038265,37.319236087823,33.53678888583327,34.561305140770564,34.120389945041055,37.13154198659147,36.38157701098033,39.620578096462516,43.46252904377279,41.424358691902846,39.82778790742674,38.77114937596551,39.33207139832156,38.94178588776415,44.686157023368835,41.58556253509165,42.83272222356434,47.207784328272666,46.78563155315059,49.188462330068525,48.769629258021524,52.936313290708824,50.91630540473129,46.75891306261026,51.50592188618994,53.92922620001974,54.305807326295046,54.64075333934372,50.77190425835082,54.52409130163449,55.99790317374116,51.72365442019606,52.17162882684143,56.81478738339416,55.31930914978086,52.82172039917237,53.49059333865946,51.346074941405135,53.01409094949479,50.94043013883536,47.090168642329246,44.288311636609585,41.22568113491271,38.41664029263065,35.948782598050784,35.14704717475196,37.1473777892815,39.07071102615309,42.749804435399525,42.065888272075554,48.36000682580259,47.289016256373436,49.89143115375778,48.927371102621656,50.3690585982543,47.961911721043265,47.48980415149483,45.0143408324555,45.27057722178219,42.31934966389683,41.42136145589329,43.469761563880745,44.09759957465579,43.95877186432875,46.64754921976782,44.23780836618371,47.092746654704534,43.395093569275616,41.16085132878963,36.44710768486177,36.43738819110821,32.1323286591242,34.778156948149736,32.07992367796467,33.08289201520657,35.447002034021395,34.235452142566835,36.59834697793411,34.4555903027967,37.55532024425166,32.85514069397343,34.874904989766335,33.5526068517259,29.276339915663193,29.348992974685935,24.841026636327832,25.848996778272884,22.539482262231832,23.634927241934324,24.474084759613724,24.70555181684383,28.264943001062132,28.803731526123883,33.51292387912006,31.68276394320755,28.67089460509901,25.622979856308376,23.028988435993142,21.016758865638195,18.766208500279138,20.999288625554055,19.61355966970166,23.45914969925243,25.8561902177947,30.728663045204247,29.681116435354223,33.96147775991706,35.066086618396476,36.102275239002786,32.32836001886961,28.663243430026395,26.072690142469426,25.262058084719282,24.17719900816158,27.453554499685524,29.023549798274935,33.993450049943874,33.21871300521652,31.064438949365268,34.696128876456356,32.81871299661682,29.670731923842023,28.800469513678618,28.105360818474747,25.075871712553308,25.997963807392043,25.11664088726294,29.154799598669925,27.815928429914464,29.374485932231146,30.759217045869903,29.35961747890351,30.034291218484697,31.317810121511688,30.81655936538051,31.026715936891,33.97453632174984,31.85794130934385,36.4458251296782,36.7736802222273,33.92209297813784,35.76666047759736,37.13081264328598,34.07259378845747,30.976850453115336,31.407131889613538,30.3269709241657,34.33920429791704,35.46872498097085,36.634121534991,37.567223392719576,36.32497667363929,41.47347800188225,40.90488696145565,41.56315953335236,39.90936020678898,35.94139570165665,39.94820562600789,42.086205817900684,39.657743794522645,43.84341760738006,44.21335125662259,47.73266021363665,46.618276141337645,45.26544959621647,43.36873490267569,42.28431191795549,40.257171268983484,38.31266039859705,38.17574237403688,37.64855480596495,32.83748291126569,33.59994610524,30.30219819833067,29.35274559929878,30.89241251809274,29.500781973769193,26.03269706031355,25.941984181370835,27.994254890770467,24.04621049231234,20.581997322408565,24.046700793495003,25.652886534055853,19.454492180522138,19.724808937698782,22.45141695093769,19.833200300117515,16.070339099219108,19.59581653455443,19.806902584278017,24.698431973299975,25.18242003890815,26.052562219952144,28.882597728766196,33.62993840569003,36.654846517162625,38.97808144497342,39.88107708779305,39.15788381149209,41.92534993526926,40.022487712458165,44.017771712994374,42.48388987286438,36.75360481040593,39.80375541694283,42.90646455352096,38.633748418241105,36.96217223997091,40.68259326601355,40.177175737162116,35.7755685866494,35.90431680204208,32.256435226574716,35.147724004002065,37.75490164737426,36.25860022629382,38.48726989325542,40.369004260043354,38.251963805773684,34.644808957794964,35.413456806084575,35.98061574672365,31.678158533025254,29.998127536921537,31.44715542081842,29.343069203565864,26.176857909015116,30.283509997992525,30.20798157375011,25.502615286586924,26.76628025343781,30.65313540378864,29.960314191280553,33.3140992381552,33.07986194264219,36.604134840166864,34.32690511068174,29.319006493348667,33.47836530701983,34.33420807607632,30.902166916330927,30.446141513778784,36.081711539074725,34.05217116100439,29.267724414659952,32.51904793292245,36.52146060520044,33.77794705165357,30.16655234295464,25.39708333481111,28.74651049160319,24.342681483532242,24.627263257921662,19.562043402344212,20.18152464791342,16.016478915878245,15.184911148648348,17.889962365889968,21.127085404814608,22.284829496921084,24.105309170666143,21.411137737992608,25.229285697515806,21.877112277779105,20.04466622567206,24.440250463949614,25.689117598689986,25.780600212960344,21.17197897342151,20.533135806896425,22.406791178427106,20.04679950384557,15.57030618043766,18.64328838036445,20.22962057101968,20.126796641815922,21.538515314661762,23.506762569823195],[10.255464621429637,8.550176384661283,10.058448725265583,6.731270829486602,12.342963322128146,13.202864733407196,16.284008898979117,20.23608665730007,20.44680319166892,22.593454919478727,25.58033940350795,27.63429506882474,27.601975982742243,26.36698852084126,31.326353128996338,32.48812630871599,30.91880902949278,35.32846123408265,37.34942507994319,39.55122889855285,42.630195745829496,45.81029666110467,46.687028950801526,45.267441646289065,42.581087781124154,38.89179588404387,36.8032664705243,33.2204692736147,34.55861523551279,34.135142727976984,38.11463105335649,36.78779548842966,40.408918492859534,44.20492532168396,41.6881700360654,39.99818261882083,38.43084383300156,38.73425547347069,37.8977370763816,43.17915441240265,40.13488439910742,42.133728084792914,46.35047363645761,45.41487722020376,47.74881765462624,46.930617761376645,51.072676896321155,49.23924873905601,44.72918972056556,49.1289584665142,51.767500752322945,52.0755116891947,52.788962006059826,48.99139133203732,52.9938259474619,54.68378181747469,50.59474892912294,51.34393346432915,56.00021150483968,54.35305217940371,52.32537730635716,53.433034305998135,51.55922733431654,53.4022781331192,50.98099099567531,47.107897812190274,44.893232749609105,41.98076952006475,39.57367128064634,37.47042743302215,36.82637852444042,39.28360950385358,40.95057875154815,44.23965678170696,43.31026963436826,49.56527620759432,47.874327103923186,50.53762839094192,49.08942239179433,50.076331818594674,47.37639823202655,46.36565070471923,43.731002905365806,43.49237409230993,40.57740622036872,40.23622730965795,42.74874656817887,43.58654816604689,43.959537307146,47.062015897786715,45.07277699531958,48.390263043869766,44.84870623089192,42.580826782213464,37.84501142214397,38.384607508189355,34.06246842614728,35.994396825429256,33.04561886466699,33.80926256125221,35.604247286011585,33.61255594380168,35.77528498452568,32.88922007178531,35.21975345432826,30.337892556476298,31.8045855808562,29.98830692864449,25.668931943051646,26.460780029445633,22.11183204009184,23.618145555398343,21.19585080179058,22.19658159271522,24.16759835773806,24.156471213096584,28.07343693193213,28.43504528481374,33.758140452433196,32.23316364100407,29.45420337827819,26.41430605397625,23.295795637659992,20.891390557130713,18.36538766844889,19.144286264538422,17.19036954328711,20.60179009011663,22.444252441406423,27.45210448159675,25.597670899339345,29.804854920053277,31.035488567224974,32.581036586019444,28.736274916247748,25.546246878214998,22.20396227388323,22.327377762845344,21.954222317532675,25.559412320695113,27.567542444610403,32.62743079364267,32.277897738904045,29.83513451053218,33.44075295677889,31.896560712186883,28.63684222503371,27.961307610679466,26.84053172471402,24.365255495062765,24.83702847636445,24.973606065828434,28.688787688488613,28.305035597501593,30.12799843473731,30.858377021816946,29.37438607913413,29.208401291228284,30.723345069855625,29.15578728670591,29.020821042980433,32.594958897090656,30.0057220493362,34.57074425871369,34.201072320477245,31.217900160796557,32.44770552246316,33.620430329612326,30.20437818339714,27.550843699514324,27.912022836031646,27.457760797125474,31.607177170962203,33.01784743932879,34.63372610735148,35.71683799523995,35.18496876179831,40.00323592727119,39.13255016838623,39.399448291517366,37.38900066819943,33.259199887983996,36.71976299203642,38.638778871709555,36.43919029801086,41.04748899322181,41.91041182185372,45.26796132302579,43.76216535756655,42.194983424576876,40.01602459151066,38.76732870086785,36.3672801945017,34.24708099142178,33.861044899518106,32.97897679234947,28.179851531373277,28.842182655639345,25.35806784634427,24.918967062247557,26.182398943822367,25.365126610745484,21.897641181813416,21.117442899809443,23.489943105259176,20.026496970703608,15.732292490025868,19.30137954646749,21.791093088588227,15.61810500691462,15.410385356370375,18.64452397919348,16.88712098508666,12.642576205025653,15.907091803862688,15.295322464761485,20.73543551495137,20.101170668393898,21.080237565948384,24.27732807377824,28.803759179059526,32.012407048859856,34.09869967236771,35.191978283903886,34.33817987145519,37.179294707899246,35.43412152330982,39.166458113759724,37.41992014191251,31.726208999348145,34.871092399236616,37.668278202372626,33.266596331367076,31.742342500929166,35.49825951788525,34.67413254077448,30.244613540592983,30.70512474339819,27.074472331261827,30.50425885768702,33.07308903911249,31.76696998243849,34.39250878262807,36.52266841741643,34.736024532100274,30.744660651674437,31.641205252055926,32.795239020465644,28.507275923158723,26.400537604647617,28.427366239395113,26.77239939153966,23.123774166638754,27.04969297864386,27.622268501405255,23.249826245415008,23.68566769680646,27.47596750514466,26.21314171972789,29.411182721792166,29.02404191682501,32.22266116880651,29.94752008669223,24.78961168527176,28.72847193970922,29.375833950404854,25.908747606446894,25.248770505671363,30.785505554222,28.669837297726357,23.767116002140657,26.983245371551224,30.930194482382475,28.164978665062748,24.49311815760234,19.720556280331024,23.13624500719002,18.810510930031793,19.30644421743601,14.097280296533508,14.801519942017809,11.001239131287068,9.631390300826675,12.219742916504115,15.40880389759446,16.668111228584404,18.65812216479445,16.536462700478626,20.655881811198224,17.983524808072254,16.274833124911737,21.265933575497375,22.56837915385423,23.540374227089924,18.667087115768354,17.750959884181036,20.59591958497207,18.81701222737693,13.869940916363738,17.033546004853694,19.678617290892102,20.198094151351796,21.766426459120567,23.943398377375253],[7.0080433242031175,5.62827629469451,8.166496619324738,5.447413477048794,11.567064228715958,9.950722738111004,13.48961909080127,16.796024971526798,16.851097472872983,19.753744281064474,22.41291226939656,23.99762470351408,24.827036494866455,23.851329584952595,28.502921394466085,29.734374432073515,28.86543217293906,33.40216986717919,36.06142392480827,38.17243185027089,41.540226644607756,44.85401722183614,46.00406104197871,44.991712808022164,42.113145954521336,38.25706867199562,35.94672565059197,32.07681771129063,32.77406585213371,31.803717790831413,35.4311578129394,33.824166321605674,37.1436703165496,41.21658105387463,38.998715194962166,37.74966259140891,36.06456754383741,37.15682204785333,36.7082753867861,42.14550380145656,39.48628115947327,41.22496075858985,45.41815183490114,44.803667019050245,47.50292741273718,47.07137026661107,51.09589685777961,48.81870276027385,44.55212391026326,49.20070871097545,51.449037368092775,51.48798374868322,52.01903420988829,47.91149931817992,51.650034449365265,53.5741846770829,49.49071252421169,49.780177686886255,54.518521045161116,53.34851372495736,51.14769617694638,51.83515762243699,49.65381657570421,51.82806285132128,49.68240130246588,45.58745376707011,43.44097787429089,40.140043325019995,37.96986123010375,35.39998404722906,35.08243280604018,37.51771378314063,38.82080887883873,42.39843868061129,41.07848294671945,47.236768184189735,45.766611658536725,48.071760257233144,46.843458476574085,48.15207871124128,45.28256931412989,44.68344118051278,41.73188153620464,41.94235478388512,39.39046497320909,38.55343784001888,41.066237235935716,41.316898974699285,41.886876441218455,44.423276004283245,42.49677309744822,45.66704229994191,41.935896845291765,39.40807023967948,34.72280795178589,35.03531574415579,30.78259162915299,32.4913201028002,29.404780561500523,29.740042206561146,32.16909778020664,30.175930055691346,32.89237638446992,30.15357744789857,33.22210554023855,28.340861648737377,29.991080532361224,28.79509089485137,24.389889863019672,24.450496848548383,20.081000128414217,21.8394861568243,18.948718018480726,20.79255613252579,22.457236628487923,23.244880499926083,27.025482911350974,28.149931975926407,33.11483439457089,30.888217798530533,28.304631644594597,24.97632137032784,22.657634116029286,19.909045393528064,16.83213332393346,18.4525211727004,15.614281199258523,19.64660022608769,21.608580040947846,26.48162948018994,25.54316880556887,29.558822536611014,31.174388016153344,31.95637823867211,28.75504035136182,25.33125844311453,22.89777822060903,22.81144818770185,22.536333779637804,25.713006644521137,28.339519658828202,33.21376287375226,32.207248459186154,29.580986865433726,32.83929765378748,30.70431100784465,27.517056035308944,26.121990772381114,24.768325540489172,21.668024519510364,21.771772533198078,21.17696651259621,24.738886159588354,23.751977745398854,25.780680470509484,26.938585459297293,25.877155682904412,26.002142594654796,27.904608403050556,26.849316808837123,27.621972242322236,31.113100026347315,29.428759432275616,33.83792700888808,34.21530367325051,31.968035176775057,33.22741501828025,35.016319879981985,31.716383025139443,28.847429142618548,28.725438625073238,27.755527728640818,31.33749345272521,32.16992597115971,33.27225148911277,33.840373753347365,32.979182357967595,37.777725979993654,37.507347235084765,37.80103407522902,36.47986923987467,31.973239909531728,36.02305358036981,38.34522717652754,36.25827019220889,40.71811833680979,41.490327603296926,44.958578321721454,44.06186685121563,42.748291120276754,40.76647096610239,39.49201327218744,37.23060150801887,34.99082752568173,34.538947521677365,33.81215098314175,29.015832426770753,29.27545606265507,25.82209190218105,24.475575742435332,25.795680581978985,24.105766495108174,20.806279662530084,20.914991989048893,22.65722891444374,18.529446416749558,15.62270019665903,18.996037347121707,20.19985353108906,14.049981722523553,14.817400437928143,17.549000851778978,14.673043925698202,11.388584492960149,15.563335531375573,15.796473841685739,20.500210258154862,21.596207498805132,21.707141505312805,24.411181658342784,29.12518028356515,32.36940436465226,34.44565228103943,34.926015962085444,34.08608741936692,36.70965227927147,34.670255786251225,38.826776700647386,37.50064214769961,31.74244660859451,34.73766263305703,38.128823418827466,34.052435426482795,32.2909376516141,36.09234409548789,36.004819833617894,31.678631319625186,31.74041707560601,27.704396446467637,30.25304004164579,32.680495005822436,30.918442840109154,33.011707484189806,34.75748870024402,32.66426944258374,29.135404582152656,29.78488493495708,30.30129172722959,26.032854464381504,24.348322922815967,25.799557142080502,23.723046101047427,20.550225287571266,24.790107817119324,24.81448660621939,20.199803948718632,21.56673990518144,25.518619068120653,24.795394605120574,27.98412794344821,27.596335134684413,31.26144949677126,29.23017940675103,24.154448645194506,28.302251896290965,29.483651443776807,26.18667645807399,25.69461734666335,31.470954633057588,29.877210674523976,25.155301583083627,28.311198830767154,32.531908602441426,30.229483470895094,26.729917732026966,22.07330463223172,26.133194532613434,22.16556818121424,21.884049541923204,16.74552678951202,16.21907395810307,11.574560618383874,12.19252562474541,14.686009614300701,18.363871453947468,19.037459990161246,19.960338941636266,17.000770618161727,20.62669113376652,17.46835081707329,14.8308906862928,19.050893314418975,20.07117282942835,20.349482447627043,15.80781258867128,14.853926777160387,16.8852946093684,14.923906106614101,10.041266983834259,13.2341277989436,15.269318373197967,15.534964001558233,17.140866118170397,19.365152037178927],[6.221835417706672,4.791734968853353,6.7653719560934205,5.953359146108682,10.754730056268748,7.405440606757269,11.35409406277914,13.856493272372182,14.364583438154188,17.939745412272753,20.43618946339929,21.386876144209683,22.757958541942234,22.39085798776271,26.671116044454283,27.709316799762945,27.378371388013807,32.01448830985071,35.197438916298566,36.99877503728439,40.629542198306865,43.872198441320215,45.325068384977364,44.61800247108363,41.50471086006981,37.67014585380895,35.05798835257348,31.066788219813162,31.274619124621676,29.80868083875527,33.443980871915,31.355345317106753,34.50987499511745,38.78379795785776,36.6718302043078,35.81122701377038,33.83401608574543,35.55161739857693,35.29946019212521,40.64180236058776,38.38758077132914,40.14732150743671,44.21513224731108,43.70888668875372,46.690057161245406,46.468047576843695,50.34386676254625,47.750617301807004,43.61673302942218,48.32736317776247,50.28234014512905,50.052508546197984,50.54969569767758,46.215157575641776,49.777656899564334,51.98036758632816,47.99651866145807,47.97809917749415,52.765522336572175,51.978838888139634,49.81163823263445,50.27822002134135,47.936797417072476,50.46317193856144,48.45105143320962,44.17995552080998,42.34537405628538,38.78451393852411,37.02017854579864,34.20652686943614,34.25865643903419,36.82364215378476,37.67171491129322,41.312242154616996,39.54950710103305,45.54479164898745,44.04230099158429,46.026241785191296,44.81806729587217,46.235185105974125,43.12002612542201,42.701321018429184,39.42444115060163,39.86644442734346,37.689448598767775,36.60827878469208,39.26998519819562,39.05483872184008,40.000344280534755,42.155518307993496,40.470984530106676,43.66582334710317,39.85694298286617,37.0993600848735,32.50509756458595,32.834797337312175,28.703192826407967,29.865422334782014,26.581554283352713,26.397573972111267,29.16808261597893,26.882148465064073,30.019187153767916,27.17184979751,30.625666624859978,25.75178532091786,27.370759291375794,26.618557323582145,22.21507317620608,21.798506365904437,17.58167425557393,19.72447812282025,16.823105932124907,19.411541080382502,21.169900433854473,22.599090580043494,26.27033446492637,27.99916288439566,32.762630876014526,30.057118831480455,27.806663438925295,24.309555649603837,22.60803439265909,19.51128639253146,15.970325159533504,17.723311970616727,13.931523790407487,18.205447360536564,20.00391983910616,24.650649450629388,24.336578697375003,28.06436750064332,30.034276649301322,30.261157439303524,27.69228193720942,24.300742515914216,22.53243017087293,22.58047661883927,22.663151107135306,25.459847223115553,28.72946790063755,33.36632984295125,31.942802548411397,29.097517047113907,31.957783289116215,29.44019583706716,26.35053624513799,24.375136384041994,22.654986096117863,19.23897556295487,18.763447519678728,17.85308989279685,21.072148859323935,19.92515606152996,22.230996609005498,23.506715886805907,22.84199272709641,22.90551253085689,25.25514391510997,24.300490732118796,25.81026043687046,29.39027572937052,28.415366639499872,32.585804508173474,33.39319276913524,31.81130072067647,32.86192528915517,35.11075597680263,31.8551309457374,28.99985008470593,28.422675223062306,27.22264655779891,30.249049279485003,30.627910457517302,31.3939050401475,31.523567956987282,30.62855656751547,35.228565324465336,35.40976956319305,35.584268972931895,34.791857810350926,29.94172506708207,34.296038997057146,36.88617797944128,35.00393690204104,39.415686073853,40.269028620802324,43.747980489974616,43.278635922438916,42.13332144443458,40.25757730466056,38.91862077395113,36.69288848219551,34.324097365959325,33.74500987066599,33.07094719837197,28.366335826056197,28.24142010064301,24.8629764798563,22.858266835698196,24.171365998320226,21.86710952259169,18.79646908401285,19.603690930580402,20.846749198112136,16.348289923549615,14.715548952079434,17.84530182655581,18.07494434126693,12.293054806732647,13.941373168728619,16.268888330365616,12.724159764864492,10.704120120783363,15.355563734913872,15.944024955051459,19.966692273213702,22.06730238597092,21.38005264323731,23.72596055483572,28.376127889043147,31.713278585463282,33.59887454062772,33.52657365354694,32.59215907714902,34.96503196446217,32.66638707518072,37.07425989452964,36.12299557482006,30.356507064957913,33.15373858262253,36.96365789353276,33.206023058236084,31.25607834538071,35.026424889278445,35.535939489691735,31.363042030940434,31.099227865173432,26.817743234502718,28.63566854763907,30.90994033317172,28.85851296273622,30.530833206335128,32.027407908661786,29.71957077011052,26.547076788535193,27.082836425867132,27.15484959846185,22.916785042699118,21.607889933981063,22.73127053777956,20.418352790171767,17.653688395348937,22.140148941506837,21.89743918173063,17.28821450870536,19.32406831954324,23.319061199693806,22.888262039933824,25.872774438624656,25.33809362366406,29.289232974129508,27.617407377872013,22.61860267991772,26.72318067421317,28.37776942952014,25.320093357983026,24.816284905419703,30.685599767726167,29.630415578943047,25.086213349417015,28.024437997314084,32.44620049004432,30.630091327236006,27.302173122175862,22.87571449045432,27.41773720244602,23.88280537240499,23.14615313332392,18.193487447475167,16.648585268964144,11.775774209326228,13.809778301247444,15.898838199624093,19.738156640813905,19.86331667497418,19.884901371272168,16.424258451888427,19.48002542840571,16.209001474159642,12.87304351754798,16.271231227339275,17.045536875837833,16.866162821690594,12.693037622226063,11.750713602969403,13.186334394571668,11.17622866088304,6.448505607666209,9.810896752183117,11.488396755963901,11.719077794436794,13.432131982402474,15.759401434856583],[6.868658449440238,7.417521869621744,10.57010166049548,9.45551085659189,14.438737513491713,10.076207974801346,13.48485670283941,15.454025838385697,14.912081746414046,18.649755572777735,20.554630676346715,21.507680354586746,23.64133852480308,22.80600533912826,26.8819024774236,28.323149720926576,28.393998089120043,32.89932762370069,36.18677256347115,38.293442557237626,41.86955046742813,45.3705231302669,46.73120880584993,46.168702103235006,43.2084723663124,39.177116203743275,36.78223881000512,32.66885279733036,32.605275746327976,31.050002803433227,33.932053016374724,32.17370503078131,34.956035533624615,39.32372708046898,37.616803551203766,36.919808270153396,35.25781106358936,37.25457358088644,37.31812989696271,42.91416450866131,40.66887241090347,41.954190883943795,46.098584178589675,45.920280313963374,48.95248516949965,48.971839070213804,52.84833991319711,50.136162130852846,46.226190890423055,51.12042094734638,52.935823068163444,52.721262487213096,52.999219949296766,48.602619023670556,51.97785371152811,54.08409165775383,50.0080058737175,49.752824385157346,54.52844566431492,53.89359738766961,51.43415004372952,51.57341470354699,49.02174354175475,51.478079586653855,49.730487453847616,45.461023519806005,43.26322040929279,39.56369126009282,37.57232669037739,34.44714098207985,34.443984563989595,36.668621490457824,37.63351723737788,41.58394623939017,39.92729746847651,45.90593524482716,44.8668673369986,46.73103702936018,45.88543449819843,47.63875155154479,44.686298423063946,44.659210593255665,41.43774941004716,42.22906434032754,40.0964450896805,38.64076323989485,41.00963092476526,40.5653119102324,41.22615236082953,42.986537061426,41.04843558177403,43.88250105708545,39.929389856657075,37.128801696994444,32.58758593547297,32.442094953467574,28.365888567132664,29.961406884610756,26.82442997445583,26.595585844764,30.014199447132864,28.23352854514444,31.643983590677834,29.296376541261196,33.279745475667625,28.569555442284532,30.42750231163135,30.004552713407932,25.677498707650752,24.855390599049223,20.703297051398728,22.570561765583403,19.17802285670278,21.828329172202178,22.81680618677753,24.433006969123877,27.8363362194284,29.690777089707236,34.02852619684012,31.08821201919833,28.718129248914412,25.216693486614233,23.929406980426442,21.107115679925517,17.78471469954141,20.41449169409909,17.070685093912072,21.46411095039501,23.494874057990618,27.992515696773673,28.055200129080486,31.757894579263297,33.69259875061583,33.66781191008262,31.183076734798888,27.597555770748723,26.145106041348143,25.75237199334363,25.437246500788515,28.069573637130652,31.03857147520559,35.625528563701224,33.96669872160662,31.30866689573434,34.161118838293675,31.42764889869165,28.439644930133294,26.303382601002394,24.842528875375418,21.040951767108254,20.758458664260125,18.93336306329543,22.16644709266297,19.967548839291453,22.266002493783553,24.239058445415857,23.842588135970576,24.543882256861572,26.830084828400746,26.64309369526065,28.455425447714838,31.626306826765276,30.992597123579163,35.139408362028156,36.343759278342674,34.81668556200056,36.179549472712296,38.47690887633466,35.37745874365523,32.33139532688341,31.833286652183297,30.353493574119703,33.29978237659636,33.504335843653806,33.97433019865838,33.945366033794215,32.599981984188744,37.333561614166406,37.79226431959827,38.176457870875495,37.66386855696392,32.89973985550918,37.53174242047005,40.236048070810924,38.26846362581874,42.441146042405634,43.02983560380803,46.58440908453585,46.33730253193258,45.31353143711889,43.58020776360199,42.31456318616208,40.26468358622152,37.97844650640543,37.49813928109635,36.93976858652484,32.24135643900222,32.12874559842633,28.79278314582634,26.635640018616268,27.89308247880921,25.351323530388786,22.460555169174203,23.398177580086493,24.323024807549437,19.762243959517505,18.523325246997498,21.304380373080452,20.976608258623674,15.451622826349931,16.999760971081713,18.791876701776033,14.889438318939675,13.108841507206296,17.473580727619495,18.66004961600166,22.218652028834164,25.027383263768037,24.5093885945626,26.527975204273947,31.327524517672263,34.38916459546253,36.555548239971046,36.48724557299171,35.79812791500994,38.19457810199063,35.97395361027203,40.50874667720576,39.578605331642464,33.94605760441325,36.77819651832247,40.66805195614205,36.96634621158615,35.083827905433544,38.881311480294265,39.427567974567,35.263341777878885,35.05647204393271,30.724149228722364,32.386774554187724,34.57062261251859,32.31515367390803,33.77081559104317,34.94705849885887,32.600380569466,29.752798268066073,29.95996674756467,29.670285339193846,25.650349193625953,24.497328847599253,25.019126657650315,22.43939868357541,20.097894497325747,24.388567799624415,23.57494870632919,18.79730025543219,21.312659320022263,25.232373884271666,25.292479500541166,28.45258209658783,28.23601148751159,32.28749248502156,30.442068374842794,25.762519737638268,30.063748979253074,31.645547215205678,28.592346663060443,28.441316067970938,34.223780367775646,33.03881170458823,28.684736042209398,31.806607125977816,36.089318162970265,34.135502475751835,30.88734459660308,26.43221303101458,30.77035783943937,27.077725443579297,26.146515079556362,21.322662645706213,20.103437390781412,15.291219600209315,17.0792271932837,19.49104776249226,23.300512315799523,23.673911688161134,23.784322213223312,20.410926925889946,23.385966156594865,19.976417420371437,16.63911489101932,19.516502132688156,20.018927236336012,19.314589219347784,15.701717385867822,14.67823524744151,15.123139802560226,13.153111068085318,9.190587524764844,11.4851084938045,11.962058355558115,11.664083592320107,13.258374803804086,15.394957720443877],[6.8293117322114725,8.270836397727543,11.12736795296419,12.763045698632673,16.494510525600518,11.804869085540432,15.421023199335528,15.981792570294802,16.46932649350978,20.933800776694767,22.530459723258005,22.365731586599694,25.274879681143613,25.390969060245915,28.818168871866202,29.894368483301,30.66767295065573,35.22352956413659,39.082347612804234,40.69843654500818,44.568091999769315,47.860535204988395,49.60067697188272,49.33217637535408,46.08355158342361,42.19668422664414,39.40852561688347,35.27042393452631,34.6769210639713,32.47013865686925,35.432084931130674,32.87175156995952,35.32851732311675,39.974970525587196,38.420235957299,38.33000588096026,36.140977177617735,38.95599644560003,39.14649129329421,44.379966637316585,42.70644214616839,44.24296294758262,48.14192759297052,47.93535624978846,51.257035964228805,51.36974940903535,55.036419119397166,52.03397417712848,48.18012191288085,52.95626026093696,54.48486293033173,53.877326187458,54.26943639038694,49.62548486204525,52.80904693309052,55.38323690656725,51.54463593823115,50.94985907968119,55.759074755793726,55.61549896637693,53.35364189141559,53.29954279778258,50.60043033934399,53.549442749697135,51.92706849484561,47.465670112074704,45.79602840656096,41.834243333184624,40.4247249943035,37.077305793177466,37.53165910255509,39.881143400730465,40.27748730536523,44.240455356024704,42.00782215638535,47.67431170675345,46.53978000578449,47.907718799006695,47.03103453383128,48.83389637375849,45.464651342691894,45.5515683592226,41.799761920768034,42.75439778047784,41.23098110054275,39.65287979126037,42.352348936060615,41.2613480293509,42.61171091954111,43.824485688055596,42.35077173287957,45.21259569744179,41.19354621621158,38.054720097133874,33.762516950133474,33.6147344472966,29.85066177244535,30.47365277027252,27.04774784025465,25.628078471536504,29.720633120151984,27.164490516773085,31.334984159120562,28.520538504222962,32.75627493597956,28.052470661030675,29.33663393001425,29.380406536909472,25.09065253765724,24.0074396518841,20.483453945963966,23.281199096621197,20.462931335468124,23.933529005626745,25.34854526561102,27.544316834038582,30.84722281641173,33.22442516713853,37.44545401773398,34.100851894542004,32.16840025189812,28.575031255233174,27.802312700524954,24.654411274023577,20.949935656265843,23.12419349650416,18.569344023025383,22.82694931681233,24.175085444288715,28.299248242401426,28.660471797248718,31.76081812669681,34.350660368024165,33.891756482382675,32.32997759802314,29.163141499386324,28.050146844851543,28.343439067236183,28.681729234804862,31.050748760266387,34.713390801007066,39.0745395992086,37.174579049540775,34.24363296847518,36.612800930176626,33.58165229665723,30.74138804527328,27.99103261256792,25.91158711194061,21.97631990695303,20.4806815122032,18.35910951859064,20.32945500757249,17.561087754903856,20.831407410599457,23.113314714476463,23.67881883191008,24.008581011117457,27.163718059379406,26.76143341866595,29.54097842904348,33.02242361333599,33.1259679806252,36.89900385642783,38.299812350767326,37.456031765250444,38.26682360529687,40.910733808474575,37.67317286380133,34.93938184734946,33.94528249036904,32.58099197334356,34.89689242441828,34.64243583369725,34.83816342043481,34.182368048181964,33.106740834461,37.26790049702173,38.35231158789234,38.34676728528929,38.485956792420346,33.17946814849853,37.864302615038284,40.79142439619923,39.294504595903476,43.59738897527266,44.5361298444404,47.98911491185906,48.079833627217134,47.15693960393479,45.401470986258246,43.97065264658477,41.74253523372232,39.19196124432883,38.34542527496081,37.51567079126276,33.019262941374194,32.187489752609444,28.7149553405992,26.080593102169015,26.627670857081547,23.564408873173324,21.45475234295882,22.52138658279028,22.38268238370186,17.858659950071388,18.18200703390681,19.853561587063297,18.08572819668778,13.660289122384265,15.626361933096346,16.303202420822366,11.896912947407825,11.904539817495538,15.948869493782368,17.8617457072464,20.024473376774278,24.40659672322589,23.181835384941714,24.394578168542576,29.10735016326154,31.923683802571876,34.110985161640976,33.58315434039089,33.16913640282622,35.43062971187238,33.335351633769875,38.1183985684229,37.37253099253695,32.127085446574604,34.97142080760196,39.13347861132004,35.810714172341605,34.10217312830545,38.00012325296469,38.93514705410494,35.00564761082888,35.06524091706481,30.249691364479997,31.420723508726333,33.06968859616769,30.14949471363936,31.230989949987745,31.685649395379446,29.596624958720476,27.278822952028023,26.64017985502338,25.963550283132165,22.51776724004242,21.336901564722776,20.94085714303833,18.161707478754337,16.393814391982197,20.306148315002577,18.88092345257206,14.154149154389602,17.33942905560709,21.056913113647102,21.750418419019315,24.847832360946686,24.978601550404118,29.178973640346104,27.37170310211114,23.31242048004632,27.742769466158702,29.48125986839506,26.73466502580654,27.15805391769348,32.68184975874384,31.83098440200203,28.108497545822402,31.288294806582808,35.36605166283481,33.79056651161479,30.992358323699435,26.954581092327302,31.523661358878513,28.3842713542791,26.552420429195962,22.34853178335992,20.309585407043876,15.80213928138447,18.841249763563088,21.07837456688745,24.88360930619321,25.10123992088823,24.17112533569823,21.15454127477593,23.590690097342698,20.86247541502762,16.44434560413245,18.106568891853943,17.564020563890562,16.83050878989438,14.478526403497085,12.342492383926382,11.559143322163646,11.408507612491912,7.930841957018681,7.735394221881085,7.341603851690342,7.403136089064121,9.332802113388382,11.707533025333777],[9.687936794166154,12.181516497719063,15.72715415052613,17.16521089788548,21.3092909505013,16.41908732603139,19.74931840866314,19.952858784967972,19.786689208664665,24.257520963909748,25.296904482191344,24.97262267204789,28.560710437556228,28.389432557427217,31.49290991986935,32.854466759263694,34.0297705270398,38.429329366802804,42.388503614783374,44.20144209654505,48.028077473206956,51.49547986326804,53.18466351133057,53.05049108636895,49.914786935632954,45.901819144893615,43.26675964314607,39.063866749276016,38.22568747403347,35.896724614375444,38.17998415220611,35.82205042164821,37.83195320953353,42.55963363549201,41.42628660451438,41.57942235138185,39.59670823243373,42.719924266077726,43.158295236913425,48.51204834149462,46.90864867440352,48.11737847881968,52.03482404343585,52.074564565017134,55.449380595425644,55.73329523239453,59.381487138239265,56.27640431846576,52.58520604259609,57.461048079698195,58.865610114254615,58.221180076583074,58.46732215908946,53.76669035410012,56.76678784709504,59.33140189286378,55.46859707751485,54.64135813890974,59.42176729164163,59.4728055384491,57.006135809805976,56.65187421469556,53.759347914869366,56.70072449229374,55.33255398334027,50.872299530617454,48.96148078098116,44.8793897017456,43.34067232811183,39.72873674083541,40.17111007604363,42.18282462659835,42.62636612907195,46.8455615878035,44.659712583496564,50.21539620046393,49.506186643751896,50.67046867115048,50.12668786292148,52.220558073772374,48.939252019583236,49.36170500831566,45.58808677957648,46.82550784675552,45.4300965282757,43.5758227087016,46.07797362165839,44.70723370368807,45.91832373235698,46.6767824742433,45.06534346362765,47.558504375205786,43.428478186994106,40.22210192677995,36.09754482927493,35.47655952115639,31.906581862840657,32.75674073949072,29.497649272542944,27.792735144463922,32.55677997887763,30.33004998580204,34.80619915720914,32.32990130217934,36.9201815812766,32.37420212510318,33.65702218382977,33.94765524303631,29.733030834772453,28.454014026545437,25.108464295105637,27.829428693383107,24.814964958527117,28.311793729422497,29.258527089053477,31.56122470902147,34.66375828843855,37.11334691320124,41.00840162430284,37.49251727753828,35.50337242718908,31.946101281600377,31.468754137031073,28.535981813188528,25.007530498687593,27.63335886993135,23.3097225970028,27.596863180968448,28.99056425394771,33.00395784487433,33.51184390157553,36.51903686922481,39.18193015729818,38.58465708246017,37.156530584842834,33.94015487112776,32.91310466391957,33.05677132893218,33.18947497070398,35.50169578446989,38.9640281184276,43.30966946945737,41.27286542967477,38.46696888411385,40.81132536626675,37.63210749466722,34.88522379986327,32.01153952596002,30.07483682345046,25.936966786800728,24.46606671742292,21.706784414086115,23.314973873399094,19.50825183155971,22.8940234289403,25.83957894257368,26.832624327888144,27.59695485426265,30.781063352041016,30.904457975033736,33.95810441767494,37.18269666819891,37.554272780151955,41.27757488162443,42.91972195015933,42.11038964789632,43.056461992065124,45.70737508567738,42.508831557497054,39.70916411222343,38.764671436790856,37.296202690227716,39.55544412234563,39.171789960084446,39.15607769467371,38.31116003542016,36.9657892017961,41.08735472622927,42.4721963747025,42.54887512477714,42.962118830584686,37.661072773744216,42.47928548306238,45.48264779517425,44.005086710901594,48.188338510484066,49.001798554893085,52.48420570785458,52.7437220194652,51.873098799123724,50.18523838961737,48.77581765801993,46.60100975387075,44.05840027035636,43.203787808931814,42.34435197448306,37.87211951867846,36.94231161984113,33.40398924408965,30.74859995547061,31.008366096682195,27.857559572526338,26.045072645689505,26.95750445380368,26.426859837421624,22.087836540449032,22.605585880518856,23.777643478793397,21.53892854398778,17.619651193029696,19.204986785938253,19.201333903062082,14.89703006991576,15.094842596375576,18.357529393515094,20.87193858206173,22.281292185861385,27.463994075010397,26.46588129793146,27.184721438973384,31.96628814384254,34.318306255450835,36.86263906027681,36.41175956017047,36.42127681465363,38.75284979475244,36.939373444503204,41.78989665882098,40.965619725251045,36.04630594611923,39.00914728074696,43.14816848077678,39.89682960121745,38.407824107942076,42.38340554011379,43.24469112968001,39.347855432354315,39.70576770531224,34.75224680613832,35.93215010563458,37.361739626858395,34.14317599629974,35.07354950614036,35.039862600458626,33.1681302900662,31.213844739076848,29.995888868060284,29.062740692828694,26.130334545660077,24.908520384761886,23.76745963507829,20.912099585910493,19.630468076818357,22.8664976492608,20.78955516440067,16.23674824568794,19.57734867177413,22.916097198448366,24.229384879789322,27.50253351937936,28.176077846422572,32.310419578482126,30.189431638354634,26.730864101497424,31.354337889976968,32.84035643636294,30.140422958573236,31.11264429925149,36.38367170341555,35.306531255034976,31.955708463325077,35.40811452104642,39.17931907687943,37.42698508680297,34.8255003040459,30.84116992493286,35.13012045813658,31.919486636503088,29.73149291376758,25.844480035544407,24.147226431218122,19.851577377799003,22.65719468507668,25.208063400939636,28.959421229624414,29.50707513644541,28.617960503599242,25.91088195634992,28.38715742064589,25.74755042519132,21.23992508091075,22.62000392721211,21.69393035295527,20.796501290034186,19.06091457724091,16.670695358814054,15.232670056981103,15.62418895886117,12.713232233329911,11.46722302270991,10.06223676132305,9.661224531838172,10.992095403634334,12.669681176667796],[12.124563732113957,14.037106306415426,17.17742500276666,17.334950383931123,21.361022780487215,15.683540033784961,18.310425849015235,18.331490865573702,17.16788230125608,21.43341557332323,22.027328984043244,21.88055530586951,25.768759872705555,25.18398531267755,28.110510423643344,29.770605457011243,31.127859490140406,35.348876347052645,39.304859733431364,41.351979674677565,45.07955007910116,48.73857194423942,50.32331240032965,50.319416176671496,47.33656295368295,43.19152341544796,40.77637515313932,36.523506473319344,35.51537784316783,33.253771044070874,34.93303568842106,33.027483943677275,34.842930526680945,39.50222244326664,38.62707290456267,38.75654594297882,37.17189882603441,40.313642066742524,41.01078779798016,46.62375704578228,44.952926318376576,45.67269394853241,49.6542364189221,50.0147761692697,53.39157527745962,53.93198502412669,57.575890432083035,54.385125290000815,50.95444476815474,56.04017883417808,57.3132804895519,56.773624699374814,56.74715787769635,52.07195232481462,54.918287970873095,57.249493247636345,53.26682986633221,52.30205532509377,57.03793043025014,57.12603443532891,54.378970135403726,53.786857521925356,50.77805186872957,53.568446330842356,52.39564841281248,47.99293383203231,45.76837213916458,41.64657797344491,39.93544141977992,36.16900138352156,36.56953753658172,38.36367432811773,38.86358913701433,43.22653673962331,41.177783645222206,46.723672601095025,46.3469844803261,47.52348241475591,47.253138766333585,49.58364859696971,46.570956644510716,47.30364239473438,43.77710385037335,45.29158307127165,43.77771707759615,41.604200358474515,43.738552541364726,42.35196920336709,43.146282105916335,43.73562515606829,41.845823936920006,44.079039576758696,39.90577123376522,36.78121143575306,32.67660504902203,31.77737177414967,28.23117349146587,29.556475989353835,26.53864115614041,25.283549344210222,30.159567844963398,28.716526456993865,33.01574409935975,31.24717784190206,36.207766112705684,31.909035672203757,33.793150226478815,34.29145905873682,30.23558026886085,28.52791163579025,25.008330006649302,26.997377910557827,23.430732790608264,26.754259301153315,26.96063043142548,29.368978549454006,32.16784543101946,34.7264343608614,38.18403062269947,34.51439577178721,32.499388443935224,29.011107223412992,28.94519157739811,26.266830739512717,23.00674572004241,26.341893841488385,22.710381468919948,27.07405799400959,28.95271168967851,32.83952570780775,33.862408699718536,37.05855592082991,39.36749951935629,38.501992094993426,36.92182296870248,33.355982729775285,32.81752881260946,32.26261528352966,31.95640053873378,34.001322158710224,37.204235254866006,41.39197386154511,39.09939978520747,36.49706778113743,38.80495357709038,35.48512674583545,32.863640685749544,29.972668664719873,28.437418907042428,24.104003751960512,23.23635493591545,19.908808573144803,22.057401753588135,17.867941669773657,20.604097391142254,23.845047127808062,24.63214087462512,26.053152151845815,28.788123512753845,29.687184154597954,32.698646109313884,35.39160179797923,35.9935339361769,39.69456823363799,41.7588661462334,41.018460419433104,42.40604910155123,45.16079904889378,42.26056244194926,39.14490340470624,38.2875807296836,36.399066560946565,38.5919834611176,38.09166258345645,37.81751110485461,37.0171808363308,35.161070349314826,39.561084067418804,40.983480664264334,41.41585828680614,41.926754117621314,36.95560276986909,42.07728750020011,45.150883850997985,43.41667654273019,47.22169423935565,47.63204848642698,51.20870265579292,51.712847027732266,50.9861296938213,49.52709424132347,48.26168446226998,46.421029101747266,44.089339682904644,43.52720149827459,43.06561778569065,38.574598283249195,37.99368125680975,34.77139545536137,31.92029341459954,32.847832158870794,29.536269087401415,27.377519288270367,28.900427525609476,28.789987870756313,24.177806174945385,24.60944050745242,26.452364027951706,24.46112404427755,20.23091580425094,22.15818530993313,22.673985342261105,18.23087216932635,18.155307715382172,21.932177530722257,24.079432667927666,26.098157682210914,30.706378360416764,29.69638015966637,30.777321862079372,35.525680387175896,38.133412911971796,40.47778649504448,39.86620757435683,39.54241670148973,41.68385392710876,39.47183564509671,44.339021603595086,43.79068620233351,38.56639639258694,41.24680952977268,45.560478668082624,42.32995714240324,40.48777093738625,44.27199785555208,45.39365093252169,41.46349070203889,41.20224736270124,36.558763142565155,37.3594044680909,39.09965089863809,36.220501701257206,36.915267232561305,37.18543111701699,34.78154713428294,32.93445616670511,32.335315258470615,31.068973952772748,27.78756238934815,27.199970911382053,26.32117537064772,23.305703614538253,22.285354257289566,26.017868332094302,24.031840372332482,19.544488547066145,23.18817060627966,26.65439440674043,27.8086896428518,30.857600414562402,31.076559730148475,35.35632200809642,33.62697166679974,29.795252269670996,34.18446590027805,36.00512799632248,33.30508137059724,33.74866313382749,39.27639842045232,38.420298273202036,34.68425770470181,37.84756363482328,41.96752016655904,40.31061823608047,37.446099060526336,33.27933789976205,37.71137051444061,34.29412847307682,32.62955403547323,28.299829767433685,26.655725132130033,22.02194465467133,24.538371937033613,26.97927119775794,30.81837497240872,31.10368960369749,30.49821928459911,27.10536140628267,29.43778219051658,26.14001693174647,22.235684971030988,23.496894436007167,23.150221006270193,21.47927913294814,19.59565664145149,18.310657991200436,16.676906047082678,15.601085469455176,13.66664552634274,13.658125113083898,11.631251201760495,10.41936282699378,11.30223881393885,12.68503881596317],[10.672841246273782,12.11128698780298,15.208608092775137,14.418896419891746,18.78595982230507,13.294564954898881,15.92548112390092,16.70699052495706,15.269479466318995,19.254394234961158,20.21725825857431,20.704226907843417,23.98374355526412,23.02163621731221,26.436151823081936,28.183159992725177,29.043292354702693,33.327666933225956,36.97807585146999,39.20136990154518,42.81356139100119,46.51551431650584,47.93577315839493,47.729486208129856,44.83746933236956,40.66011778875184,38.36971861588523,34.140518944399794,33.48428568362494,31.576003590672126,33.502719454114256,31.893688756524906,34.06431580475512,38.577032389908744,37.448089985883115,37.185461170038344,35.75775680228905,38.393632760399385,38.927298142891146,44.67238966695995,42.69759641201583,43.43993735740248,47.541937543342776,47.810469981179466,51.03070197893249,51.44733204296083,55.20585020091644,52.19762192191467,48.657557760513534,53.75513814710734,55.22253115364953,54.88240149089449,54.869576904009854,50.331871905760444,53.35445265235564,55.48051651122298,51.39179543739417,50.68776288150786,55.42858255291085,55.19940527643734,52.440934890479674,52.0696010210177,49.20509894756118,51.76507001710077,50.42263967414323,46.10177679994289,43.706232874782515,39.74765059783804,37.78366340501589,34.211521854110956,34.38142572949662,36.24649999083226,37.0299886534534,41.31120626522196,39.52778469295509,45.29764926770024,44.79410895715142,46.29989324137746,45.904440318000425,48.09428282759087,45.23013911229441,45.763552720714834,42.4775183348682,43.792065824796026,41.94148011139726,39.943701524562194,42.01700554971889,41.0489475613132,41.580539712617686,42.62475102404106,40.56067065929735,42.93943970682111,38.82660436989148,35.882319413396786,31.560958308334303,30.84806707022642,27.033159784939667,28.769182849363215,25.79779790184527,25.222822128069783,29.523111025201782,28.267364958103617,32.11923248811524,30.38495729124059,35.08583939981924,30.69018711606148,32.79366339891071,32.97045184895134,28.84466677272214,27.355438210114524,23.486109359063573,25.136141581423335,21.37523482042957,24.33492469190864,24.513753805857487,26.617807470661145,29.553820511847498,31.83738674766898,35.491308428850054,32.07155006914878,29.84262038227411,26.36318266363833,25.93836761696767,23.33429742443328,20.180559110158814,23.594071189327423,20.410662910863888,24.827088619265442,26.972040791139936,31.082590498500558,31.881379952305295,35.371197485276795,37.38610070147846,36.79252685657518,34.74761532647596,31.02465785136623,30.27222804906645,29.49071903778271,28.962989073138406,31.16165740489734,34.10957598763505,38.424720093457594,36.30518076047593,33.778938223012005,36.33804379864893,33.21127705436266,30.470725220704615,27.905715830585923,26.59027413294343,22.368549407400764,22.02809488069885,19.07562194775495,21.965287693389836,18.472256336980134,20.76083474946847,23.58747032452985,23.75312725902695,25.159793023772835,27.51297927043949,28.280958953994297,30.75412721441601,33.42833866418418,33.57223515171754,37.479060822417765,39.34198018877336,38.257455248966664,39.83201657788888,42.40978965160364,39.54339371099058,36.32760519173077,35.68222464791661,33.80108305010575,36.31640237985717,36.08576116532022,36.03382370785033,35.59554163724925,33.73646673683755,38.42403653749188,39.43585560088,39.99972187904744,40.09444247391664,35.34247167545251,40.37782670827113,43.31648294543469,41.371677185560365,45.19161529923648,45.507604214772925,49.121179511493565,49.38489742754922,48.56964191401405,47.08300609999223,45.87123106888711,44.073497921099325,41.85010486674677,41.43711374713365,41.075351986466174,36.48952572505375,36.23427658039567,33.05968637825384,30.446537145563294,31.71474647961514,28.673658201854256,26.09837947404815,27.551981422425552,27.98516397769354,23.301050221879493,23.01416163460244,25.414274491926406,24.154905795367622,19.283823678513876,21.123003129222536,22.25633572115914,17.947095328279193,17.107038774008576,21.214026530234122,22.94209948868638,25.73288319192303,29.503871515700055,28.74084747129541,30.291035829166304,35.088442324116926,37.93554223743106,40.19612033345385,39.79672349684859,39.25525110901389,41.47477245313024,39.15989459801935,43.90206881157703,43.251703805281984,37.767326026421095,40.44939069782469,44.63029776793647,41.19063345543389,39.23847589458556,42.97980553420743,43.91316515425576,39.86517876917371,39.45792561257743,35.04023353209563,36.10884404932052,38.134828604029614,35.60864317032022,36.56361131563325,37.29746367547372,34.762115879849695,32.51753877544233,32.41706636373316,31.464128595537122,27.761790537141955,27.10154383019798,26.853150980034798,23.947768091840707,22.431101016152155,26.53495677183977,25.01896112249082,20.348178759561353,23.6390183820514,27.353551545388427,28.04694968402341,31.134547187160823,31.086618983115716,35.32525190593731,33.60794841191253,29.327773874152655,33.65569326988676,35.44530987277634,32.57702578716362,32.66182498901424,38.36979850833295,37.39762727876935,33.30128974272402,36.3957770476349,40.66733463309953,38.87546569579814,35.775539956544065,31.425493810429042,35.8171776726091,32.195914775289005,30.97669884406162,26.338760702512072,24.945834309936416,20.152781712464456,22.23888460032359,24.672473282048415,28.510367439905156,28.791700512395693,28.60097115417354,25.022793426445887,27.592360813118912,24.015471263763985,20.550643947586533,22.446290369503934,22.6214035677291,21.099117236234726,18.436787259406806,17.576710861017965,16.69532301884966,14.777064174882153,12.329654548860917,13.515657013587806,12.297004443866685,11.230569569405352,12.373193777313794,14.021174778910343],[13.373887247976652,15.224303298198654,18.794794606779263,17.479749711585225,22.306992974217057,17.00944679751997,19.364580927696302,20.27439666678387,18.158327634197725,21.71440058614462,22.276610155940325,23.061029264571467,26.508069625864035,24.947370947619593,28.25444877047442,30.369218177124168,31.26898898392203,35.323563144110196,38.76764218268026,41.34574372674547,44.75848826755404,48.670056610660474,49.871423255013276,49.656932932095714,47.01094062171854,42.70454671827943,40.73651585142687,36.5154924735457,35.87605621930824,34.155618769759585,35.45092851447743,34.37211521610107,36.28694224284297,40.69950341050533,39.86711790870929,39.553882418455736,38.52331575805995,41.05511800085956,41.73280236122182,47.671135065042996,45.540301089315435,45.90701035173743,50.09345688084512,50.57177487640578,53.69629437080248,54.21186824207163,58.0211255806003,55.063329096410946,51.6505859107738,56.84894052205645,58.328909904259106,58.11326711978026,57.943285990281964,53.48096524460807,56.42696078288214,58.34197233337285,54.15209256658759,53.402666982051706,58.087343435336734,57.811379443865604,54.81237030787524,54.27188999377255,51.32573380737456,53.64494635355068,52.47692972176222,48.27105463064391,45.45493195400803,41.544418660573044,39.230190146416355,35.5599164535502,35.509034527546206,36.96918394824216,38.055605669087974,42.52194293700262,41.06299712895075,46.82237705625066,46.73919486713241,48.27898490717257,48.18277485429033,50.579786990428765,47.98083363394208,48.73115185799342,45.65785801995846,47.1157235935626,45.13802385420069,42.9889006642186,44.75998865604766,43.83878723750985,43.96588133920912,44.85643323302806,42.48927039192547,44.51247384050888,40.36896327384543,37.55187297294224,33.32095557617927,32.196092533907056,28.480273545583714,30.818442695559735,28.158061290130718,27.848449393440113,32.334848154033835,31.60992875726656,35.37977888590808,34.04445909740261,38.8749132198807,34.58382689456541,36.84096661585139,37.01735304385063,32.90574649156223,31.401356822140684,27.473467290599434,28.842319664526354,24.85564692467168,27.520185658964756,27.197032256074852,29.12363283239315,31.866131652690147,33.960166319631256,37.31218312993971,33.963239118842736,31.543317161254286,28.21705841772969,27.86865537299389,25.656638765978695,22.894631102061275,26.686426326380943,24.054956976252928,28.468599385649004,30.80307888850788,34.951126347900946,35.71838092601276,39.32865325740741,41.19064163134638,40.66388680017478,38.40977919747615,34.55096121693036,33.72961328197604,32.646718638384826,31.7546950913311,33.970669125642615,36.44635216532887,40.77354279204502,38.663216589749624,36.38453111831446,39.07654128737889,35.98527116789159,33.30354305083324,30.908087332164374,29.92774122389226,25.68057846029045,25.71491561333677,22.50513151793625,25.487680637717734,21.575328433643527,23.57134645303459,26.702037328322422,26.834725450931483,28.641023888184318,30.69979198049914,31.888784831135577,34.21044053779792,36.567450911638716,36.64114962499609,40.609264525950664,42.56230255228063,41.256675758366974,43.12108938044996,45.55730943678172,42.78187887958741,39.436667463568234,39.008247569263105,37.03744716123751,39.715287979879264,39.55819918895244,39.454902190583944,39.106189844236795,36.972032408680406,41.80574367789991,42.80253527244346,43.563090567939426,43.61736306236442,39.07474350502109,44.16084888502387,47.06632249010263,44.97733373501409,48.65163592967889,48.74414743845184,52.4002014807261,52.659802662860265,51.85266854243995,50.425725861321695,49.3007573371393,47.6047118263996,45.48237903873893,45.182862129925596,44.8765311469462,40.238926178077215,40.13887483393477,36.938232071897076,34.46676183677147,35.72918195741632,32.78016045335407,30.162176589855324,31.43735012480603,31.918834485001106,27.28967402586771,26.693329098379376,29.069067421900865,27.91970334624382,22.956502187652635,24.474928431794968,25.52170183302519,21.329243566349806,20.136074532820704,23.90720729092953,25.798705919977497,28.560733100586038,32.35277689222343,31.96078920963094,33.46259232817357,38.36861621767273,41.00451781796395,43.51378110980691,43.338034362442244,42.9828038488624,45.3210865119343,43.149182437658425,47.88005452178094,47.0938543376063,41.667387153395566,44.45805255478895,48.5417624293859,44.99840603382481,43.14284754535397,46.92898139441259,47.664181849849555,43.54435451165351,43.280656288220506,38.900732687774514,40.16642154612689,42.220471828554764,39.68558275335841,40.6934396277673,41.35121789231345,38.877453401244466,36.65691507900422,36.43111445600123,35.46746481509264,31.867553999721277,31.12441607701427,30.717763368258115,27.800230176169485,26.30793074327534,30.199783519485166,28.505837390889283,23.818784043014386,27.015128809114405,30.63482959931641,31.47904122476882,34.74081056562086,34.927540664677515,39.113154174310246,37.15091764382894,33.00513163411421,37.473341181821496,39.04680843272107,36.08117563853839,36.35929037577326,42.01405944406181,40.76149557362216,36.69573855351162,39.98219164555795,44.116195146922735,42.06061811633747,38.942916443253566,34.4932927694185,38.602780223356106,34.75462826506798,33.57805610682239,28.9797336878746,28.067368951945138,23.34259293467283,24.930708797695416,27.622553146316523,31.39631461175791,31.976776852081667,32.12183743473807,28.696935341427388,31.462920180094514,27.810831914794804,24.514043576944733,26.589633772264435,26.769202089759155,25.234657086858565,22.57199719982918,21.6641277104821,20.76628958470717,18.892782201454878,16.396473277802773,17.409030698731236,16.07764130818802,14.884329847969962,15.755886558137211,17.0299604894707],[15.700013427274168,16.777698243780623,19.613012687097203,17.19046604582281,21.565758405148152,16.111191955715732,17.608440016826815,18.640710362350262,15.65477561205656,18.59184706978038,18.912662415491333,20.212060968588677,23.427599341992032,21.33679416209209,24.674778974486543,27.037107077770887,27.808539222871442,31.677871043808164,34.93836325199394,37.744102513244414,41.00149267143179,45.03979376767741,46.09359069355629,45.9049713983489,43.42246692166635,39.042095649488125,37.313170793232885,33.11976565971421,32.51133243214284,31.048457354752742,31.978340434530054,31.426838710884585,33.35577834325661,37.56782183949982,36.79600290868143,36.26768808254755,35.63465231415547,37.90052589893871,38.69887932897884,44.818617170228556,42.53781593067627,42.53135320043461,46.77702494928919,47.455741925230704,50.49754229033786,51.16268139972647,54.97892306865162,52.044122407673534,48.8202137379433,54.139521678936624,55.57717051521666,55.51973951830957,55.15250017145118,50.79979261635029,53.68078767760435,55.32267322179097,51.033419922490864,50.3052483650419,54.92150446426675,54.53584079934957,51.3511255186617,50.743848406173235,47.80385903673985,49.896162297255195,48.79532860470369,44.69622343944386,41.60113146106272,37.76896070108926,35.23234239751115,31.57535751546124,31.38437666549292,32.718666498819466,33.966692355521644,38.46188445544195,37.235892646737085,43.05854759455379,43.138819942593685,44.84250078883213,44.8730592091137,47.347775490977,45.039727553313824,45.9174022292084,43.17620492901703,44.73185381213268,42.54579136986631,40.25801863269023,41.69839796140346,40.97583860168592,40.664484790017646,41.65547560212803,39.02366927365977,40.92777403891833,36.82884287438785,34.206673542273556,29.929377821391316,28.731159331294702,24.93729057863816,27.8426901304001,25.473941243906424,25.917524158229007,30.014081689200353,29.99090100448661,33.29724454229945,32.542068823731036,37.416640944850954,33.3730286056239,36.11801744289011,36.32611896221374,32.417438029860726,30.71088222863743,26.663986006871152,27.269113124530513,22.926152623120842,25.169006440826543,24.19568790472454,26.026327657746315,28.493647737590923,30.54054934808864,33.55461173295848,30.223519959940155,27.727217584025503,24.52379103803526,24.407600696510784,22.52205058364322,20.175032702497727,24.477363329681612,22.732635719085902,27.021960899869004,29.756612095058003,33.755988460520115,34.84724165418076,38.619751775934404,40.06789801754705,39.42390521035288,36.937870887590904,32.83061536860302,32.385252333218865,30.66888769025659,29.356853276215407,31.32692490211897,33.46334313407557,37.62633140729144,35.38181301307237,33.33229679867999,36.04022065653499,32.96458438146979,30.392813135096475,28.18594613023283,27.66715844848478,23.479570164949667,24.246129589517217,20.958998323240067,24.551302337745987,20.96888339701127,22.126107138145596,25.086765206209535,24.72047415429108,26.952565785216066,28.401232760098694,30.097203366402365,32.08788615859733,33.955216730438416,34.03069831950333,37.98563719085216,40.17592495474352,38.84537768025921,41.10073803358626,43.5463866579688,41.07675605818138,37.49392841550398,37.198075799711326,34.913637010575215,37.5867561925911,37.43671368409075,37.21996159748415,37.06874593389395,34.584020274015025,39.67356035096302,40.494481471319034,41.57184959629265,41.52898936218289,37.41258875825467,42.61155856891992,45.48053001827258,43.143256352788846,46.47180341673703,46.21090127716867,49.914345486456256,50.277934967829076,49.57246393906487,48.33907439799352,47.361634921179615,45.97479320109791,44.086544918713535,44.0763158859947,44.13460640279611,39.53660208916251,39.81290010565253,36.953224822471704,34.43725884582087,36.30372320119999,33.369576234865136,30.43463528837731,32.14893498524188,33.084034438940265,28.346259470105835,27.571786729310393,30.52596622067425,29.743011673408155,24.577703580713997,26.337080118625355,27.870605451299124,23.687561560127918,22.317534843248467,26.472793915161628,27.919085580899473,31.23546563524711,34.34054543092979,33.90052589005494,35.78075471440985,40.59527271161823,43.529948459174065,45.77531386206349,45.4844264072682,44.7637272848887,46.93566113169797,44.415221245817996,49.074382621215825,48.50576634963543,42.80015046640587,45.31591019114283,49.469324239939375,45.93554756855476,43.76607382985961,47.32776640808612,48.24556158466713,44.12880675914631,43.285534164896625,39.295730663343086,40.28984156251244,42.64750694605874,40.53143630521649,41.42844312774751,42.48449394398651,39.595195986353794,37.34182149882805,37.76462892233419,36.69142884338863,32.74645541134671,32.45188498927161,32.46265829503739,29.529663991183156,28.085327229908927,32.388950218252496,30.950801429359213,26.314851444431337,29.59735486207054,33.35806806617288,33.92522841387211,36.96655341252921,36.694645703859436,40.938753530093074,39.34358117015574,34.81564620421207,38.998116155777595,40.84663405923759,37.89387202808974,37.617045895498165,43.45956117828591,42.43134854735614,38.01007815569073,40.94671969612082,45.384138528305336,43.459799141635045,40.11147344882544,35.57143491334215,39.78481250750166,35.84698646051632,35.231658880033756,30.298739673633744,29.38890217187295,24.52951322920766,25.83346938734917,28.2572489518747,31.994692148256746,32.264684984306,32.68204097164925,28.72684959113285,31.32302473782751,27.185896029645175,24.64473380575643,26.716524857752628,27.476232629234946,25.522390730032512,22.61687943624612,22.66624570354249,21.91058269315891,18.932396068630037,17.183209915264552,19.180935848627136,17.822247918903837,16.38004704969522,17.056348601721414,18.1637203432356],[13.869080433076201,14.407457958008104,16.813208906204444,14.098346405072194,18.334421027610052,12.992278198554887,14.557241161736176,15.992692371294277,13.267569800796416,16.280846625418985,17.139027578689838,18.62331334937307,21.335325266125984,19.422434002266087,23.158543172692642,25.306255493823492,25.74151010346789,29.820820055608074,33.04270557997248,35.70698115626948,39.04073955977014,42.95898502104106,44.07113063831317,43.76055106646679,41.15473334735527,36.83905681909271,34.95551071101283,30.76340136651564,30.36370985323835,28.978834415638804,30.507451432094232,29.73966395090347,32.038908151742255,36.239675827057866,35.12037730434206,34.41098491521234,33.57954122898017,35.62930441487808,36.22485464468468,42.28399967166235,39.93418428823875,40.21577970821632,44.475276495459994,44.94495412378773,47.96294771938581,48.47731976539324,52.33022109053526,49.4675930978145,46.081041960365035,51.3328675581298,52.881100725021014,52.840923753868665,52.602636560362164,48.2735785665621,51.31058291496667,52.99477709889058,48.71816023676976,48.17013964788148,52.8323606740726,52.30254809161403,49.28545848067895,48.925418456825234,46.12439826216554,48.26136153155803,46.938009278455176,42.80117678669625,39.905744279729966,36.1340006821935,33.69346827772721,30.225541680432976,30.049319239234492,31.718942734708893,32.92450239179615,37.236886764635734,35.93410648983112,41.88745076889689,41.596718052705945,43.45409530162141,43.202230751400585,45.450090212561115,43.030619462840725,43.63989322868633,40.87605513753553,42.21484992940717,39.93247290677954,37.85806768152757,39.4840484717548,38.96116071903689,38.79794517808601,40.147048990701386,37.642363561549566,39.87842019153798,35.83857361485273,33.224350916364465,28.774136282440487,27.978695592862795,23.97664706722011,26.660477910409636,24.10086180922615,24.695162068625592,28.353731770459508,28.04529955311534,31.169203641460104,30.146497112774274,34.76971493620956,30.613118261643084,33.34142344590349,33.37093097689237,29.434131488512705,27.88028769092515,23.718286286136635,24.30591611299228,20.016797696982223,22.21072651987166,21.55952365358205,23.310080612610545,26.01821100725985,28.016825230434506,31.39346812126831,28.16966599175862,25.658381212146605,22.335821881792935,21.904249645083247,19.785267329455202,17.23995621414586,21.36097970920792,19.570271435127175,23.86531249728005,26.617026910032145,30.704106101493835,31.66401958536694,35.50075464374161,36.89288297893242,36.37308455197854,33.768963209066435,29.677730938407386,29.13201095745485,27.486750102985496,26.2773651363438,28.349187655786707,30.647697250951634,34.905660287189605,32.76997133101951,30.589290471947724,33.3725807494444,30.3913777384313,27.69824530294162,25.578740023875163,24.96322518894318,20.876195037981823,21.700384145006183,18.828168659543607,22.69380398553929,19.7519426647003,20.904537313151103,23.427740187929786,22.764765646754128,24.69781715580885,26.135362368514894,27.454151080135443,29.23106684274554,31.312550080292535,31.151755552394988,35.19363590326243,37.188542532941035,35.78971481938809,37.953024318918516,40.38046366884516,37.855125338908096,34.308435736904165,33.99877798202517,31.792769815586553,34.55730210035877,34.52161964291989,34.47583970046154,34.466150092593466,32.18439401987621,37.31497846688016,37.92188206936765,38.92496050018121,38.674170027786346,34.535831133677114,39.63089516637889,42.43979371209369,40.09315308719094,43.542331068535475,43.39647264756386,47.08856476941583,47.30989703551199,46.53875526612449,45.23411181275472,44.23236741766379,42.780147271735515,40.87585313704952,40.86185187980756,40.91756719106766,36.31079214187266,36.65674170215814,33.84042848267631,31.394718906134635,33.40276669749789,30.586822075263466,27.504350364846864,29.246447301294914,30.40731479454773,25.678995125552095,24.716954784082727,27.90994686230437,27.429202906495355,22.117920960470137,23.953729957650083,25.78564028207268,21.70588520724311,20.194482710629636,24.564520044501094,25.705410120190635,29.332663737559415,32.0081316618628,31.49586909948009,33.59315327118163,38.33018437937098,41.449898889580474,43.519690201216655,43.21974436745875,42.315854203073805,44.45621288130016,41.84407811723347,46.42275174272354,45.867480440254624,40.051592640178335,42.50671353924684,46.618797233978675,43.05482482126772,40.80571499297852,44.31294881119472,45.22879331951148,41.11321807135544,40.14690161538956,36.26148942193859,37.2920571043762,39.7518060476225,37.813601841285774,38.81418626920987,40.11313549874204,37.17304803121274,34.72555405684588,35.42458585328709,34.528116810544496,30.380938924704004,30.077767611617787,30.454096857707338,27.619701453576035,25.956456816775912,30.458195964351034,29.33321441619977,24.698599306279046,27.81193590767602,31.6744205414547,31.95694414862478,34.89936857061547,34.40012443167257,38.60937445351604,37.14789649485338,32.39757440006931,36.44205404086408,38.36303051177859,35.40822577715412,34.8730976654202,40.77711300186197,39.843187514764494,35.27661323734988,38.06124058863726,42.60703875373689,40.767944797166145,37.34445817727517,32.807474046533805,37.118788798224834,33.236458491665665,32.81343556343671,27.760799844128705,26.73665695296818,21.851932642171597,23.157773082406415,25.404261116449458,29.13505988324438,29.24379398216145,29.68939584723328,25.605240685366407,28.195419870894284,23.998002539923547,21.643773586801085,23.920138906598613,24.921081555426646,23.096458725623847,19.84967707884327,20.1484849726566,19.785457385260404,16.460863269770538,14.589054328397555,17.18142252671459,16.25971569748495,14.974866217815256,15.824235927206248,17.1804422715109],[17.059011348841633,17.00190277056905,18.742648103889017,14.861136623833236,18.59218062659316,13.809241606909465,14.315934153584204,16.216285477255706,12.666046088547159,14.453248387456664,15.235206196858336,17.626667162095654,19.593664957559422,16.840934066411148,20.838989224699986,23.272021701242284,23.2412805598764,27.079127338443786,29.85134661342141,32.874708165646034,35.93676563523615,40.003450289641684,40.84437176637706,40.42926302751595,38.077277410170026,33.67820435891375,32.162276535891344,28.059908801184136,27.930380026952463,27.06098635384136,28.289848499905833,28.257945212598205,30.680435011826646,34.53805456143966,33.38943992697009,32.26951266433509,31.947541778688834,33.4204626258546,34.037834275821204,40.293636230448676,37.63679757219852,37.54526600748314,41.9083265775602,42.52480452150983,45.345796964354264,45.92733792440109,49.84024019185894,47.12422895788991,43.8769922786986,49.216994996589,50.831859327332324,51.04391870916178,50.63056908537959,46.51219886479721,49.55700396278721,50.863517321605926,46.456864627618835,46.06980189875441,50.639208619440666,49.838334949596195,46.640066259171455,46.326880941126745,43.6198764795752,45.381651274922945,44.0512020958227,40.097874781649246,36.8086929878443,33.248498062998486,30.4057246426539,27.104378431392607,26.59911918349218,28.12202778682432,29.711596423588936,33.98394717914676,33.121866591790734,39.206739722783624,39.04686466624757,41.219822011333754,41.05094131333149,43.295361426206,41.26257654370709,41.894102289228194,39.59924347476659,40.91473070317681,38.28295872595112,36.19521694002355,37.438949312133914,37.33391372938889,36.59190897737224,38.2460568538192,35.4046293529782,37.544407612281454,33.625310265550404,31.34496630970744,26.833434533095556,26.04929873658477,21.94110295478033,25.376408854259044,23.228882009579742,24.80431278434297,27.754767969191633,28.186963891349652,30.61664404958365,30.16230239750289,34.59917832274553,30.70652542231518,33.86896879883599,33.77031275538482,30.06626918071621,28.509253576742108,24.242559295986677,23.950402168160963,19.403327609116594,20.813566178390523,19.44172820556483,20.787907012106572,23.236026041527488,24.9244605239897,28.033091248135133,25.04980149898621,22.297658912889545,19.1803047552802,18.719446241259778,17.135780504087506,15.310659559719314,19.895475992169334,19.41289686994902,23.40837880047762,26.56912142862503,30.53127938046069,31.60281006577645,35.64416567166184,36.50964759379372,36.05875185116466,33.03862684778753,28.72374084809395,28.378128167404682,26.030013176889188,24.25015858194827,26.154346450650092,27.839614908631383,31.99319588676385,29.870270519186352,28.023108315853722,30.97123657983768,28.178258317729625,25.5696029070335,23.9185143284573,23.93209243586456,20.13654465580473,21.90282299949836,19.294814744703018,23.75439658017345,21.42693554476576,21.69526117947395,23.809694650243628,22.459026789946574,24.708721221647224,25.337001236161697,27.032516628791054,28.154289427793156,29.699608407013393,29.25245449590523,33.35165488009196,35.41926238734581,33.772531132073645,36.40505385094854,38.68270792871262,36.48171350329713,32.70680375189169,32.67971100047207,30.232124232841358,33.160733850657984,33.29806100781474,33.2738461028068,33.63972712130172,31.06969218291516,36.48894914989255,36.72259613042041,38.06913941900258,37.5144012912323,33.947601521364234,39.00486802352457,41.668413745374124,39.01883852073078,42.12686401181025,41.60302726975885,45.3276241033852,45.505234411920334,44.77139631019512,43.6306078714071,42.810944133363556,41.662221589369786,40.044200664567036,40.3582420473663,40.75749658914189,36.20559299643578,37.02453311681765,34.54731910250961,32.26832291005694,34.81472330742647,32.21392453317394,28.819315987108293,30.75704768102517,32.43123744193181,27.7666072813845,26.37334581125656,30.065971747707184,30.12980227656352,24.65214209599497,26.4700295388576,28.74055716633172,24.87957920940963,23.024085165314556,27.48738199638248,28.18924130464239,32.326193672689776,34.189159868647636,33.82267776104481,36.286267945539045,40.91393789154052,44.23368203508147,46.116524202673666,45.86724275027791,44.6829119653343,46.73471302609167,43.90792833476286,48.322784276035776,47.85772902736655,41.839074144708185,44.0827124063122,48.11239157747218,44.49665238247368,42.030015853362585,45.31015259992159,46.22430568303181,42.1076101073861,40.69004378555219,37.27989184893331,38.245504928070474,41.01016581972499,39.55053758206515,40.57158246898092,42.2915768266822,39.07919236445433,36.50404593186235,37.797957276092674,36.960589784644824,32.54107189098135,32.50174306073977,33.32893003993327,30.587408171853877,28.845628276901156,33.5693678244491,32.738488647174194,28.18187344558698,31.148983194132924,35.078855660229166,35.06395116481684,37.85797369637985,37.020619647388756,41.169056417000576,39.93127672401396,34.88489003799549,38.65615343060397,40.675609318826695,37.701902352553304,36.69289167691235,42.677930457672026,41.815041107365396,36.94766146723713,39.43276579511049,44.15429281635705,42.33028772811946,38.70264346815055,34.10619722417011,38.3210936108911,34.32767378554173,34.516824904679204,29.252050815019416,28.46910329336825,23.6587472159966,24.39806738931211,26.39107892529566,29.942814226006767,29.870718775797158,30.76656693818154,26.37337926783009,28.883624590372293,24.319558662096025,22.920685119175342,25.38630368754083,26.962561475260465,24.988545258850404,21.4307061182884,22.53319950904656,22.53096934566655,18.425804413695374,17.050517079305656,20.38028138089622,19.683447066251105,18.362770780638037,19.03536888311017,20.207882902128265],[18.009134487143953,17.54788169339472,19.038283902135127,14.297499365210413,18.09623743882299,14.483672939035593,14.794679834634094,17.55106624025123,14.180337357201656,15.083811306502703,16.352655162078868,19.393871955221307,20.31476816888741,17.11304023567684,21.58351614232477,24.003624595151276,23.19528483800116,26.93323339591182,29.078362024354263,32.3331797314498,35.125617999106474,39.1910061272721,39.74840535478111,39.00358999384383,36.85268028668561,32.47615223564038,31.227282543691835,27.291650248184524,27.754625586509192,27.462207846200116,28.974302889985424,29.333979188396356,32.083191417792605,35.639754770849216,34.21329220807326,32.61464287639703,32.50530581810956,33.225528967004486,33.57273373477363,39.86161053799978,36.81206035988894,36.76904542240384,41.231857147732896,41.687690928019265,44.22639666281625,44.59545499964075,48.63744268862836,46.23301227397913,42.85429887845548,48.121902132580864,50.011358584279705,50.48257492183253,50.12061118305126,46.24225781218004,49.48608328263883,50.52239560460639,46.0384863067889,46.01787621497994,50.529192324972875,49.307881890368336,46.146859143024976,46.14799136380427,43.68264595313848,45.09221790558345,43.5454614934753,39.783023596096825,36.28867656671629,33.06999676463673,29.877896605678192,27.001454664359784,26.09563272746628,27.624804972207677,29.67286238488048,33.710930652305805,33.29934696903859,39.536849410138856,39.226309859080565,41.78437213658139,41.45933486541455,43.470986684917236,41.65821919025535,42.00201339246566,40.04434277672801,41.0515122997779,38.04023684210646,36.26927747902927,37.41747027552816,37.868765774099394,36.81686435495061,39.0193568028332,36.0329752576716,38.29104822293968,34.558930370454675,32.5828095346514,27.997652088212746,27.469546495253873,23.268795257056176,27.01709664212521,25.040041136134256,27.15373997854157,29.400044286344297,29.91938425937123,31.802243540036816,31.320457871323292,35.26359433687838,31.35802885490256,34.56966637992609,34.06964914105753,30.395118464705888,29.229931360410056,24.806690632795505,24.16391402148526,19.730031899028802,20.39819244856134,19.04596287221434,19.67110973819986,22.237043687279428,23.28159972954151,26.64660666189608,24.246206975946343,21.165191404908356,18.26055461199975,17.03653093004157,15.836826281805383,14.556476684777813,18.92457573376451,19.31633960653976,23.055675856568364,26.37317957723229,30.474719505999484,31.118655960849402,35.39099222487848,35.89027958209221,35.86357944931429,32.305172971289785,27.950808917905288,27.21314122811721,24.621407350584768,22.483050722557923,24.626327979489602,25.710169538078443,30.033586663491096,28.29549211409013,26.659463475536057,29.971288418001265,27.602820732017904,24.902778201401002,23.889767298659027,24.225256578014534,20.88539224815121,23.13432259783828,21.199716698085826,25.957947503876607,24.29639233578103,24.354443013229215,25.974492632049124,24.11549183567057,26.144362806867683,26.338074813139443,27.710191463247593,28.05443409895062,29.54333776466883,28.376911622976586,32.67635662925278,34.34073693982166,32.146958668575785,35.001345870618835,36.92233639263057,34.78435794481611,30.96112254394624,31.29955009340158,28.98094424228936,32.350315093220416,32.89886726550124,33.21395288749278,34.04163398541131,31.604828693517984,37.179607620977364,36.89243318572849,38.33411829486229,37.23708776822442,34.02653217075592,38.7907439899864,41.205674099651915,38.35614169803346,41.46443672415993,40.856099396935804,44.56102371547449,44.357628439753896,43.49334171357429,42.29657627194078,41.56267131268325,40.4482252292754,38.98838179234938,39.46653435710039,39.926199667950186,35.35122432183341,36.53974005244795,34.1407849144943,32.28913464532868,35.0207001745236,32.84416334402375,29.19378184475715,30.837622149298976,32.97041491893566,28.490631160881456,26.358093288777837,30.36704336994404,31.12712067648182,25.36912557332703,26.880698942703884,29.538370209145185,26.044660912061822,23.604484780591893,27.957809020513185,28.26810296352349,32.89142135489589,33.90762076090792,33.89218104637416,36.68718155197959,41.259171614877,44.65973888855247,46.50301471274466,46.537209762856584,45.250318305623935,47.397563762364555,44.6172532648852,48.82155097832412,48.18263018143134,42.07479046690375,44.34224288579944,48.10147274526022,44.300349452666666,41.8442585381404,45.048134950540025,45.64035467053061,41.462920769217746,40.03524230827235,36.94424513078937,38.295424166929834,41.259911975646894,40.147318916695966,41.461908174033,43.52776936295793,40.366353423346894,37.450779360780295,39.053562385516415,38.575584308831914,33.973867523673626,33.745119666663015,35.02133534504576,32.4643869382289,30.34462078819856,35.111837317267856,34.630854143790685,30.052277856715556,32.59278207812041,36.578266856935244,36.22313736825376,39.04432751402513,38.10124947979805,42.0805546644473,40.77346954650663,35.5193033401228,39.182612915228894,41.02507420763357,37.94121291336982,36.70080898692924,42.66895397194838,41.611212108634106,36.54458670944119,38.957869299141635,43.65303441924779,41.649287086801266,37.87795008387944,33.21840154065021,37.16169491261712,33.02225881598855,33.70532317929032,28.356263481317736,28.02143251124331,23.407529677271793,23.43908980478831,25.344719487017773,28.670211972028852,28.694237148233764,30.130419619866398,25.853837172940707,28.588164124366045,23.997367974415273,23.22595988796564,26.27571974333302,28.18838115175879,26.579527011287873,22.53259888609094,23.793240175919536,24.4366790263189,20.192290979772398,18.394843230492214,22.174907675216883,22.09419369420006,21.009626724726676,21.789379025205612,23.091343406665864],[20.438737911964207,19.35318722084845,19.74861797616012,14.702259392858458,17.02237404719131,13.856673968793405,12.902936669951846,15.707870855331961,12.087554572649434,11.732476925631811,13.194985846101847,16.800566193373115,16.75847794854022,13.234171690105422,17.960137590646863,20.302521919932886,19.040636928996026,22.703367997944355,24.67044175305461,27.942312444597455,30.689119348771765,34.73761125595808,35.28276527243566,34.54094170199106,32.37590765186782,27.99551743046828,26.79565568768575,22.901400683684987,23.521371172578245,23.548612823896573,25.20310974353003,25.84126128747172,28.821826959249055,32.10190396389862,30.47480021508509,28.58665206202184,28.673288794977783,29.0050956217394,29.336147206020904,35.67568541818851,32.53226366865636,32.35127892342896,36.83126032618853,37.33617097371936,39.83549868489163,40.28723200725323,44.30991068868779,41.907524233619604,38.639656874000686,43.962813914226956,45.80806214167008,46.36888535263401,45.9118937915726,42.132771055299415,45.368927703047994,46.24011433532141,41.72198563292793,41.79708527451463,46.26408761873994,44.92474876346708,41.752041608581074,41.849548697054054,39.48939778122453,40.80666731296379,39.163976493185274,35.44676574815913,31.960104690755742,28.847414748442212,25.642241236694446,22.976901792187345,22.023184387719393,23.822235251466562,25.842799782631428,29.675251575699477,29.320338439160906,35.63013426688099,35.1212711033465,37.873856505933375,37.426212110081835,39.31782515555136,37.65866884314313,37.938568980681545,36.2568992048164,37.21915800376364,34.04000008251989,32.27853160949134,33.25257498029036,33.98013899389817,32.704977432278525,35.2179608540106,32.18965877793612,34.61220304150404,31.033324653377576,29.261349056847322,24.63372817514768,24.462573346136843,20.20428620728896,24.056202874272003,22.30812847685779,25.104370875099413,26.51193894045715,27.443024603314917,28.68197825129898,28.59895439447405,32.31273428721326,28.73848279698146,32.29669132397285,31.816506945602324,28.50623597050995,27.212589173487128,22.911265279786026,21.45380273364525,16.97304925443818,16.99210149654065,15.081859559573864,15.498964152472508,17.860133686812667,18.899639273248344,22.169951074343906,19.81667593238835,16.700002340325423,13.826743221687511,12.66264437519239,11.725445728976434,11.07724171757317,15.756002395753052,17.260547104156284,20.52363515566935,24.09525869867998,27.837172754637837,28.840603031049636,33.10264159283523,33.19521738397213,33.010578812178935,29.359147721419767,24.887088007957928,24.69418055823684,21.505903659482456,19.048318236261284,20.800682115323088,21.746992570269576,25.861132540971983,23.9536129590897,22.43511713409316,25.71219611302545,23.410305961482408,20.808242052084978,20.086515189669477,20.871883091745513,17.920087051596223,20.868398469796347,19.363632724038496,24.429963593330402,23.613496439794726,22.963678058201513,23.962527652975037,21.527350974791986,23.613526675959395,23.153864393997555,24.726130759529834,24.600916455645038,25.657757325079388,24.441746730382,28.67113948319018,30.513983876917308,28.43750939517874,31.5617277772615,33.57787733590137,31.778307325687983,27.796908125086738,28.150607054556094,25.525862100245046,28.75894397266352,29.29939115512782,29.55186204842882,30.605468589744756,28.022340618541165,33.71035329597248,33.16392061461019,34.82340444258007,33.596227236507254,30.836886117110343,35.581430372215756,37.9273301855969,34.91363672086096,37.690213345805226,36.83195697317591,40.54378076766211,40.45364208463301,39.69305881747923,38.68262986312462,38.077727955278306,37.25833785207137,36.02150573697206,36.754620435240696,37.58515781136883,33.194290295987756,34.68016525652393,32.75335059852123,30.842019911436992,34.10970287950337,31.989022303181954,28.209228290668122,30.325611278801016,32.77065242310404,28.39631031029047,26.393923047981698,30.72592834731496,31.686070102184186,26.170785889951418,27.952316447003724,30.8628714736413,27.504530838988174,25.30328044886705,29.826690174738133,29.740571978765644,34.54182233244464,35.050559486644644,34.76253993604084,37.76496060168815,42.06714750797939,45.73296165794254,47.186270975029075,46.9766914506473,45.309759175492836,47.186349953377245,44.07519993540167,48.13073307019156,47.79353792821306,41.546720917625706,43.427524942240325,47.23842313016681,43.60254999401426,40.839601781005825,43.716347486568466,44.61602926371372,40.58602427240787,38.49920288082811,35.87890679618768,36.77762639524709,39.953860829195776,39.2881784120111,40.423281974846866,42.84118565674291,39.35369014820288,36.48971524255308,38.70749513116077,38.149127806932654,33.36584601486616,33.60221810686954,35.2548430155685,32.80629483864419,30.837175033657594,35.8079078215888,35.60378098120016,31.283922112516137,33.841535904271,37.81489132878633,37.22006561408657,39.67855214410658,38.26842706766785,42.20753425107487,41.385478501996424,35.93046773281663,39.13816904404744,41.299089178046806,38.38503067056111,36.588067494725,42.5779481569788,41.929624964214455,36.689869534456086,38.57780059767172,43.5202133189269,41.86294630718603,38.006344937137186,33.491288447894455,37.58678245515151,33.663062673092185,34.760655636486845,29.334463339340292,28.714213038144234,24.242460856424717,24.30590875254292,25.654643626791685,28.805387318138997,28.301754223666123,29.727104020657038,25.003940762853674,27.268709003583826,22.40293780295835,22.545893342886238,25.303288799254968,27.70574118036292,25.8342748580227,21.80866949003506,23.971813409875317,24.733980317014357,19.847699723915767,19.019467634530262,23.293943784688672,23.24636527813508,22.14595684446932,22.75301150903346,23.90813207537586],[23.21083700892757,21.935421470531438,22.211862810849215,16.641434936479953,18.865526490201752,17.142667039086326,16.10911374658116,19.43623949325243,16.162384111513507,14.924166801478854,16.534180012666937,20.531234499768367,19.480858341162744,15.548629398673029,20.32471831628005,22.633753938084837,20.50152440185894,23.69982042605683,24.621614687886748,28.24910485942803,30.459225296347416,34.500110694848,34.5602769459891,33.38315165818342,31.64681208099595,27.34968963496356,26.71418282409707,23.221631029961344,24.61259756738405,25.45297122227448,27.127617158962348,28.404880549208173,31.562992299391986,34.36242408260188,32.55523228881716,30.12090827410594,30.625670407460948,29.96120543197991,30.000534662771507,36.29139492210766,32.653208221608864,32.35872532777748,36.90321319770092,37.288284186667326,39.33386711047154,39.55844327368921,43.70844301107621,41.757833883769415,38.44681640783542,43.64271376601215,45.80383738345288,46.73636356216133,46.27354859359955,42.88936908067948,46.28434961828967,46.71332860581288,42.125922384291506,42.64354526875753,46.943323692391296,45.071262650577495,41.89448019565976,42.32794450258937,40.28798516663717,41.03535429697151,39.204955729900206,35.85689216518521,32.01032534494514,29.46401818493939,25.752088692594807,23.746721890319222,22.19232005614327,23.766939715812324,26.455414577926284,29.913436497807663,30.290329354664987,36.63099155805482,36.09321532139415,39.28887514372081,38.76438329815664,40.40407678271173,39.15805134770883,39.16372207605591,38.02102885990117,38.64942080995059,35.02646803905505,33.63756345171873,34.3341246069857,35.75211847748544,33.966341295730864,37.04135001727413,33.79871132651453,36.181576548071966,32.91499969289434,31.606813970166012,27.08982131674863,27.079145754868435,22.953129062056433,27.17294354054892,25.778234027904773,29.06775917649316,29.79228481239794,30.945197853055433,31.545469937169713,31.572002900638864,34.6861635280005,31.247251346411232,34.82131568537368,33.92421786282788,30.758838567317035,29.904881428088014,25.59091446642755,23.737013342367085,19.61627948466461,18.650276300833294,16.687215916431875,15.967296176840696,18.147881954666914,18.059504620874346,21.35973517940921,20.016788510931566,16.53018010282879,14.356105636142509,12.186027537586178,12.32393682640196,12.873527578106504,16.83131125751437,19.5048184871462,22.2218439999786,25.8550348970901,29.59271375576598,30.09569299950702,34.53799015261189,34.11867754918019,34.438111416779,30.180103526955172,25.768835366066522,25.144246063403415,21.599545191364495,18.576261424802503,20.491953620042604,20.237013627929272,24.41769323995918,23.10341766470052,22.09836165137632,25.78316566337202,24.168282619169396,21.632881733701392,21.858520960959577,23.123219226840256,20.871250204123417,24.225118520227433,23.332070628641887,28.485420047893637,28.11195978614749,27.2860831848668,27.916170458850953,25.097805614290664,26.991113652761868,26.008831928577937,27.30714739498147,26.23649552567417,27.01922315788028,24.92396368095941,29.256012454211394,30.58884650639688,27.78187666795691,31.27512516214914,32.73542356761841,31.155721132457458,27.14446903042981,28.056416211984295,25.61318403830346,29.331529041415596,30.3845868031938,31.008008500742946,32.612327408588804,30.15956153238224,35.91122392614997,34.75639001132152,36.5729166026506,34.714680794849585,32.5637412765074,36.86236786771822,38.84756514118792,35.58940788750032,38.21095103793437,37.14684685958247,40.77963738172678,40.23315149561566,39.33642843157015,38.32711720198148,37.89098442749336,37.214239056042786,36.265124222452286,37.25294713225818,38.20102330352042,33.88112909523716,35.83940030490357,34.07606913942086,32.71359324123571,36.133477124862814,34.515062981836444,30.549014226582752,32.28349658638572,35.16832608452243,31.071705854119855,28.328256749141318,32.8764540758822,34.51979385449003,28.819529574517684,30.215734641909393,33.42646691385448,30.464173685450497,27.721925494141928,31.997450469908472,31.556327291386705,36.758911150082625,36.3865729805617,36.53462316911225,39.83344796782091,44.04569724427167,47.73040471810814,49.16465337797135,49.29032041073173,47.552145278276676,49.52602356792807,46.5052427787164,50.29204068227569,49.75952936337906,43.48410656077336,45.37088604829438,48.82810173191702,45.01321193359065,42.297598277416654,45.03695639076801,45.53724556002982,41.48607362790839,39.39750570713522,37.23546721501662,38.56135738079941,41.92503680555772,41.65788773459973,43.088017268366904,45.831418046796514,42.431038942085245,39.26659200316646,41.75391293982891,41.54694577466558,36.65987253586163,36.69619353615715,38.72185219927505,36.45551508510258,34.165125686891216,39.09105163872738,39.17279230765102,34.84268240767006,36.99053425768966,40.97490132353436,40.089038375414106,42.584260426629235,41.12112700342655,44.84513210373549,43.92443544301748,38.33851865761475,41.41346342112116,43.33394386506905,40.3251460016688,38.32649965328645,44.20820270739943,43.31807409907488,37.930119753794855,39.717437376952546,44.54867114513323,42.67526229454257,38.7008038816901,34.18566903035423,37.83819166481956,33.784244273319,35.46609802127282,30.07330082135356,30.04197266632996,25.927449675417414,25.13999587437645,26.36170153580671,29.119803631453824,28.76924769370682,30.850897537100735,26.4159786135324,28.86793604410755,24.134605612446176,24.98642430024619,28.252309887186243,30.90494314855148,29.411818270877564,25.062774787436254,27.248463454680014,28.53022372682203,23.70620192480796,22.474013579920648,26.922124420561605,27.321230395438377,26.389561145477252,27.064180883229454,28.28615259225247],[26.781768330964063,25.329637751928693,24.984976060616802,19.65405262383134,20.57429321304279,18.694892315694617,16.537265825525015,19.170624906761805,15.537050924588378,12.951609261928581,13.998766487698163,18.31812085486241,16.5658195172707,12.123779675221586,16.52765693200579,18.921686459475236,16.556310905700517,19.25843285087722,19.930582190468844,23.781369701047897,25.832070213693218,30.014667711459435,30.013117114855003,29.0484219089515,27.42613963972495,23.02780235106071,22.676861484174125,19.277637763813363,20.57115420148128,21.781545751511246,22.90860307744089,24.847408603106487,27.906228628660948,30.291103455440343,28.583628748491584,25.951486981391543,26.981056257706726,26.050243199917368,26.35973681368361,32.75056443511703,29.14163244413985,28.238685217261626,32.76844402215832,33.51858592172884,35.571493843314414,36.15577362477566,40.186992215817334,38.101299413018225,35.204077187636194,40.55110704396689,42.44825824227207,43.44540441021013,42.682922889014044,39.395957041763296,42.55949596946224,42.72805869013336,38.094510671936824,38.49937124574609,42.68082058858382,40.85038529917677,37.45107500996742,37.70818507966561,35.64753358594582,36.2298105228871,34.52816966763608,31.274460774973885,27.19334761852563,24.71786739967917,20.843445989322912,18.940046249057147,17.250166986669882,18.853716478212704,21.588044249964092,24.954383727254978,25.517489488205374,31.83438062667751,31.417469497917892,34.723125577009796,34.3359938013341,36.0677265816401,35.16697983625636,35.41421304367878,34.675903729278446,35.52084886781001,31.846213771452778,30.18271743405417,30.392054208129185,31.93815664181851,29.665741080768317,32.76865712000557,29.33035879717851,31.59439276821987,28.50186247275137,27.50637377944862,23.148760520175802,23.256471607988637,19.33065393119837,23.867602457636423,23.01250631401688,27.008032209553313,27.03095290461925,28.99411530015309,28.950994135103983,29.794564119886005,32.90312160010279,30.066461686375696,34.06386464482446,33.47001378576027,30.81773786266079,29.563863822502018,25.602282869581558,22.898126167912732,18.788288268883253,17.26089189732744,14.148854202960079,13.333737048024227,14.571738899788981,14.612222264502861,16.998940721660937,15.55193093220878,12.045513052009108,10.302154335996072,9.084518352786413,10.290980102918406,12.034141502215796,16.261560709554043,19.906682521904944,22.03115688495078,25.812935887894447,28.88336161033744,30.111340577770076,34.345540780506425,33.5515207608207,33.40329047849766,29.36104281992537,24.88691099725912,25.26370004798928,21.03645156185225,17.689757696119006,18.66108866799179,18.08576836808759,21.5850974465245,19.749487249201216,19.14583041462459,22.50943327829844,20.84213425595866,18.7283118693914,19.19513404043396,21.13790959672996,19.30303619736752,23.281103049298427,22.43492809448136,27.62575514358623,27.70626886425127,26.064037042880972,26.304125354701696,23.1103027473066,25.35193333065862,23.582613335845902,25.578852785125022,24.27396312256724,24.148237793180197,22.465730807351893,26.439285322006185,28.359318110755954,26.019810154208873,29.898812511775386,31.601393640917742,30.595255298920836,26.426743368622557,27.23306734310922,24.275926453028575,27.46684766803469,28.25476529674906,28.506528246184573,30.173791891225097,27.295700476482356,33.079424218384396,31.871969111531175,34.05602220284545,32.364456875794446,30.837356215139216,35.23407821212837,37.224378795204345,33.82685671237559,35.79468553135683,34.245289576436356,37.87811454911508,37.7576513046097,37.13622431770205,36.516282191791724,36.278924116325236,36.10414600738926,35.45891614081625,36.74413847934946,38.17107855203378,34.165272730298305,36.301636092030215,35.085261419652156,33.45330704505801,37.333796384455646,35.55491310518142,31.642790951170774,34.00523199998038,36.928048006017605,32.864217440344014,30.657417996389004,35.29805678984985,36.73297256089797,31.416556309996537,33.18266328565555,36.38433686998896,33.32602865892218,31.05842293304665,35.5176980219128,34.986393731215394,40.08435266875728,39.728579471932754,39.49338882752637,42.791940338739586,46.79464841988842,50.65489279873421,51.76888646785328,51.52119172203041,49.48056715999155,51.121726883884364,47.74276297384406,51.4681490547819,51.35457785626402,45.016579312139186,46.46236643565973,50.095389873154765,46.57515460826709,43.54303950569358,45.928119353178296,46.92292292783294,43.091342977923794,40.28773077433912,38.53391793426425,39.131681928561726,42.60327872040376,42.6487337334743,43.68879157617938,46.590450057881114,42.80779054014387,39.95144321228736,42.89552861821721,42.36624150746346,37.445370275583876,38.08981718984253,40.186748080550785,37.91585750980291,36.024051972717025,41.083675125597104,41.18774169237888,37.10521330223333,39.523288632944784,43.457302869268005,42.57136773391886,44.72398943017448,42.89137733160709,46.65806984731349,46.23677418568932,40.60333973826886,43.29172079908576,45.601281774348145,42.817167930089134,40.426217764538826,46.302245083517725,45.897191204331854,40.47061200350419,41.77482637977678,46.82971705593084,45.370501967598756,41.40165600671893,37.074512948666985,40.93856385540511,37.14713646785126,38.96613818772661,33.56977149277728,33.12279932046525,29.047500698205578,28.602707143560416,29.415567993098243,32.08596550735031,31.226025503675444,33.04214896956342,28.17597786584729,29.97727485612674,25.04859401790074,26.51804319403477,29.0911129819974,32.018276463135216,30.025049242391304,26.088503394796163,29.019106770612197,29.994305813938446,24.71262318564201,24.61901745936543,29.1682340028463,29.2053135407087,28.10369841146875,28.513821452959053,29.454597053400665],[30.618516075702477,29.30460023463393,29.26582364316403,23.68404596284459,24.98695428208237,23.61087844013241,21.686564197517555,24.469683923553422,20.815719826285253,18.126501879248135,18.84739850349108,23.190169135794864,21.291256035347022,16.65209723053263,20.459514790598597,22.965678227090713,20.318202007541704,22.16866044741164,21.692985358911546,25.986440544253096,27.24153572830344,31.467511983600666,30.811426470200878,29.530847762908238,28.64894724078306,24.414232941488127,24.947281925251655,22.14953493136959,23.878352473638316,25.713484489048007,26.19432227558576,28.92399766724101,31.768914767615602,33.65211211014483,32.13146639361513,29.187371838451316,30.817873720542092,29.171163390815313,29.419480340699764,35.6687987558046,31.721345676921043,30.339069630045714,34.805722922040665,35.682955391109665,37.22313975300312,37.7563023108968,41.797537743440806,40.14818595704064,37.479800559319585,42.67640291499779,44.73545553375495,46.10220979093139,45.1793572907863,42.334809561570964,45.45047168737049,45.07942413296278,40.41798910357527,41.09139862118449,44.97956811333095,42.74204549769285,39.176381427669305,39.515192721469695,37.68975020199757,37.54255378901143,35.91842415667803,33.20463818754084,28.533262184905617,26.71487713577586,22.23376215354525,20.94442378238525,18.57603975867995,19.336468592469945,22.90979073278676,25.95788066158142,27.49228188618595,33.583087006060595,33.56411423867771,37.159521643136095,37.00105289395672,38.683406669539266,38.36853721814154,38.61926436264597,38.46329472770847,39.197631389667755,35.2502972199411,33.74935604795522,33.46562720306876,35.474349833405235,32.543949113412985,35.81425851352354,32.053447917497294,33.88406738078544,31.12927891629019,30.650678781334967,26.637993906896543,26.519487811226853,22.973095861198257,27.99079663716808,27.58060257672093,31.84536329621761,31.6717102849262,34.008478033669306,33.62394394491824,34.74101565319915,37.571517891062456,34.915388208564806,38.91842972665989,38.127709749293494,35.56682328169956,34.5371235296058,30.58520998867726,27.752538255666703,23.853130874248098,21.911517563582983,18.746710856962117,17.277998403270413,17.937325470767604,16.929090403384247,18.47254128599666,18.121461487425854,14.600521806253614,14.011492083476021,12.610073971304157,14.704994959806427,16.958474756308107,20.649914702533533,24.730094748319242,26.602991322611146,30.35379096441018,33.38048660276592,34.2879017235715,38.593850472954315,37.44256879749137,37.614442566480676,33.22471568596972,28.879182112320606,28.959288267223183,24.56635244268078,20.86939062874946,21.798954853113194,19.896240639809175,23.020056845293965,21.749746478980796,21.911906345814312,25.3751636683342,24.328413455144084,22.519299907252254,23.620726344580927,25.89307661853745,24.407140341906835,28.499904146458366,27.709701618091188,32.88490771605227,32.84529693770739,31.10907760469445,31.40290509506799,28.152410218066315,30.464852532027873,28.39264912736834,30.439196534053718,28.643273618166585,28.11498507554801,25.97554983024088,29.79677498732406,31.40648891960919,28.545565574628437,32.7600100612266,33.91574485544275,33.22572008330059,29.116850910327262,30.4045527285132,27.623512835060634,31.040970248347218,32.143426504488886,32.54775082926507,34.530388648860225,31.622314628018444,37.355684278096525,35.810664072230495,38.1844236587322,36.144076292803426,35.184197641181115,39.244882163053035,40.945725496881785,37.37911769735018,39.028804844152816,37.16411680239119,40.66114055973548,40.25473135884142,39.602996793018356,39.09698822775908,39.063977541204046,39.11235730809506,38.76677576122499,40.269185901553556,41.79168564372331,37.88514471769462,40.33180896165236,39.191778476604554,37.932081092785836,41.819552510835656,40.32206183876485,36.32854122000806,38.37573018353663,41.496739265256856,37.54757671618803,34.87450203200497,39.572211747408545,41.34569230358858,35.82502004849556,37.29611190699674,40.60226517736091,37.68786030998042,35.02629428225132,39.29117263414836,38.682063392529315,43.98937270035529,43.21319797582792,43.377900978186354,46.81245539401064,50.84727502498181,54.636278060114755,55.86212369447687,55.903939696071646,53.91123045638414,55.6721625845193,52.4072553121485,55.989925478917115,55.69878436549483,49.372719251275285,50.88294312900227,54.26147371769807,50.596906235966074,47.65568690221258,49.97405570430139,50.62695297492863,46.77340777903078,44.071913575390646,42.601762662582225,43.53757359035895,47.09683882018137,47.32797165977668,48.55167986854525,51.572723699792384,47.86578597955706,44.865334321390364,47.85057826988208,47.485361662555846,42.54078961414429,43.01456396410394,45.196893207522045,42.955656809964324,40.887737795911924,45.89913159680842,46.04051772579956,41.842810019310456,44.093369262977376,48.056716086308896,47.096534369621075,49.38554439759946,47.64123113602085,51.30734138257835,50.70267593403286,45.033689283582774,47.76143151266722,49.84240555518808,46.947582821868075,44.56432271749058,50.35833226341211,49.67506613160886,44.19136648123849,45.54662256143809,50.449244718407044,48.733643739033525,44.70451304837531,40.3499129506973,43.78805722210316,39.833674857854085,41.99482241504157,36.664355273084,36.7500368564251,32.86020427458951,31.815126169694427,32.71353034666329,35.118469400129236,34.527995204956476,36.83184740263761,32.27617791577417,34.282656857516045,29.503498974289133,31.18289039784304,34.074418016569545,37.03293898502724,35.214241987209505,31.13501032803415,33.88809592239545,35.029140924889454,29.856419708641432,29.370779420289768,33.88757304969625,34.03144047005194,32.932636885143545,33.36987558525369,34.31274514124981],[34.30301234417303,32.6624217088281,31.853516054495895,26.53029444761596,26.472018876317616,25.399867248522302,22.584927114835025,24.788588101447914,21.358311140193283,17.581305886764667,17.96315229127405,22.23792144625536,19.265406428599704,14.812499815098121,17.758525187727535,19.89829572701068,16.717053117902136,17.615910848103205,16.274793668311155,20.718094765233644,21.561060954774167,25.79194058393932,24.973170136317048,23.78990182096768,23.109141463912334,18.921341400755228,19.95325832804309,17.643426571357214,19.561144281675507,22.072790988183023,22.240657837445443,25.624799765221514,28.454735371145713,29.639769894117013,28.031053050149755,24.712470818207372,26.89966759312129,24.56037874251681,24.92100132145928,31.018657062136764,27.058778227422355,25.082114777558463,29.444635676910984,30.601620073706282,32.00284074874863,32.83933866097247,36.7189777376867,35.05942577977485,32.844448628678215,38.06766710360014,39.90287927703546,41.40220353780394,40.21426534125686,37.62570656076674,40.53576919722839,39.80478356894396,35.15333967873522,35.891083859694675,39.56986375053859,37.21188615923767,33.53237305762893,33.89826270832627,32.253040459943065,31.804209810788542,30.156726134477204,27.683796212253682,22.862025456509333,21.452068055591035,16.826963128652242,16.267136674899778,13.606468880634969,14.560957491521576,18.193560180515977,20.646651730143773,22.550689557465212,28.49871484628644,28.333861500203074,32.18801379312246,31.979847647744784,33.514270583827496,33.64825919560021,33.94693256902591,34.38513876193077,35.14266835873661,31.09979785519432,29.544397407570788,28.717046167975223,31.121610087261935,27.663998127348577,31.248189635784993,27.42684730145582,29.280114699848774,26.97268131565901,27.013774314275334,23.370455996791076,23.717797054693875,20.644050134942972,25.49964898236246,25.681067343309742,30.555056957805597,29.285250745036272,32.250013011748514,30.956001194364745,32.787946462329074,35.23263415365737,33.311776171567445,37.59347832053417,36.99290934974464,35.08305523009099,33.83825747793515,30.386671075310723,26.755328242337374,23.28037220282246,20.659876341533028,16.813705609586208,14.995319339238195,14.360290162214064,13.056646389879402,13.18117150588813,13.40903073773311,10.201824210628066,10.973464378539166,10.578113003888243,13.704572498734894,16.941558537170145,20.142241781120482,25.08994081660684,26.122365714839862,29.833472677483805,32.05077132782176,33.53702704605633,37.528459900036886,35.89631488589366,35.70108527154239,31.54108065923716,27.350513628964528,28.374316472551108,23.46918058829972,19.640268710677827,19.480244101927138,17.06911729510458,19.098847017386788,17.451134148906053,18.27735012871201,21.251278383837736,20.51118544019375,19.348642224667984,21.007264726314826,23.93239950379113,23.263617701514704,27.797817871660207,27.441201803657744,32.45008648460859,33.20358167492561,30.76067747878704,30.37860201792391,26.741682355892266,29.059489950697994,26.155392834876288,28.55747375483957,26.260751569974516,24.75256250527059,22.853731210357907,26.096680213582044,28.107979608711695,25.73505186144143,30.26269638760418,31.56069469541974,31.560598684715828,27.446712728860867,28.64819880533271,25.49544784367978,28.2852031882296,29.21170074689962,29.351666062519126,31.529843998683795,28.424681405420362,33.974166277994584,32.16170797975796,34.868639236192365,32.837739356256776,32.74604673079676,36.62577991955568,38.18545659465491,34.513386270607455,35.389567859073566,33.01815550773731,36.41317345426734,36.35668491593375,35.98824404611413,35.91108520163968,36.13563380123611,36.74270603594493,36.78340665589411,38.613924961377506,40.63874948477161,37.188414847672846,39.85193591281173,39.363748168498596,37.97464397552839,42.30563257821607,40.81120869133779,36.91318808937487,39.4834855742208,42.707571160140176,38.9527057771247,36.71890891272197,41.4941062039535,43.21700516859157,38.15672349838544,39.92694263760894,43.28663293029387,40.43934430442428,38.20082016534058,42.59117115674036,41.75728039098387,47.005353610491014,46.02415153957152,45.799762859544664,49.28227341276644,52.99827425450541,56.9924267411694,57.78999498413468,57.4697762931121,55.11224490272118,56.49600158974337,52.886946214180206,56.279233831849815,56.417118399924185,50.08482880762611,51.07989889843594,54.52873017666363,51.20469490847314,47.95583013336156,49.81586799881059,50.94442304753013,47.38912663176387,43.930413003296344,43.02521426291632,43.2474338635474,46.90422282468707,47.58615911932595,48.46408123709253,51.73238918842986,47.7058578856713,44.96925724363925,48.50109398953941,47.93997284167609,42.99552175802784,44.03402046348019,46.42783676778297,44.30479502555349,42.558651437564805,47.64350758539364,47.95868912148942,44.10233213019288,46.4538380099371,50.32528500892111,49.24218055678488,51.10743633427027,48.92808305056517,52.5249644244941,52.485058452823175,46.77592111985245,48.98118491329757,51.42740325830139,48.80657462108888,45.941739090091595,51.6346399368402,51.486096781970375,45.987676788189,46.74095850609713,51.830030054885135,50.59964858504134,46.60356068853914,42.52773373360725,46.140161945351736,42.5491606206708,44.91705909407063,39.637403741524025,39.30158178164238,35.58735838286914,34.82222342603208,35.20301271548435,37.42234658429598,36.270435930176774,38.31881475109634,33.455293965625735,34.75315111329905,29.973989369437533,32.39989237867526,34.65509571735708,37.91085679552382,35.79003968009226,32.109026339777955,35.563469704563644,36.59681600930653,31.12130787609954,31.621972265260148,36.2687339797059,36.28267693264423,35.15878869743747,35.39802919745099,36.145489094281174],[33.300320825384375,32.022474855479956,31.67555827009496,26.529413736986072,27.031136575752825,24.824649469030255,22.137236447306005,23.85063533859193,19.78885652155831,16.36653288275177,15.970763301556737,20.15738426128739,18.299956701085872,13.437951108593914,16.02462444489692,18.764032583034606,16.643314933483992,17.705607582575524,17.436142142423954,21.926433785338535,23.14635808895796,27.636311501725878,27.121852115293315,26.510313840144473,25.657947996316963,21.282043160637727,22.013215229881276,19.236389952390926,20.16426282129106,21.95502666401337,21.159589411550506,24.635187726085515,26.969890731494807,28.50659340970089,27.46942677937305,24.699255257168947,26.93712469073371,25.651455381934184,26.542312081981073,32.854915228159406,29.338867488971527,27.07105438394461,31.398717208548554,32.94149673245625,34.74155003473975,35.932637976067205,39.679463556644784,37.58384482660138,35.573732507549096,40.98735438438844,42.47588177253113,43.686299851620916,42.345976819764566,39.41523371509666,42.0408415605041,41.56448407769112,36.91209639495898,37.07929646733906,40.850415632271435,39.06379346344806,35.116496227775215,34.852891056564246,32.73048345384009,32.613195552317514,31.45444451398289,28.71710341369341,23.73782503309522,21.67801430386477,17.09120976686336,15.408986539725054,13.026311299964007,13.441372718748525,16.977926390425957,20.33328087556956,21.906481206197977,27.87365544501963,28.36084140590172,31.772392645579544,32.053885835812466,34.1462395009071,34.14785109132941,35.02052152314627,35.09184267958734,36.37355002597603,32.72174377993035,30.585496365880577,29.719148674256168,31.371927595942253,27.982274197354073,30.723509832520445,26.700827545568227,28.11280828428629,25.40547534382481,25.171585586839782,21.49437084852938,21.154429718260346,18.053595191182218,23.454475127960645,23.722619548453395,28.468806751828915,27.98765994237096,31.269196922969936,30.559660444916734,32.64612854743616,35.846361376203404,33.83339265421592,38.20581798535333,38.0065323397016,35.88723310323817,34.214081122111054,30.687646683582052,27.346754609518083,23.37889281970061,21.527514110593685,17.29511116794762,16.493846891421722,15.922173268526885,15.822203857228097,15.596990680812807,14.443235590634849,11.432003534534315,11.45178874400089,12.30832772024204,14.737418521511211,17.29604664914944,21.403365330377046,25.563632901072832,27.182161310039,30.957393545373776,33.29691217458057,35.18174916656913,39.13723257328281,37.94401320848735,37.334456446015494,33.594795691325956,29.22942408622835,30.471242172095657,25.753277483437742,22.178910789312013,22.07788782871421,20.587330979826657,22.71709725794143,20.475668241336145,20.894724560021977,23.539705508344323,22.027684397142462,20.847528508488086,21.605741493030823,24.317398467362963,22.917194834745796,27.26664328596574,26.087979968489822,31.044440927724416,31.058855367029636,28.552735191861334,28.75072616758299,25.473079627055604,28.33897949002817,25.71838492194318,28.795371455962176,27.399046834083048,25.927201775097114,24.9363492824536,28.13386324683518,30.73786927630742,28.88944381254997,33.22057833409775,34.92850022903811,34.68495061702199,30.500025285170103,31.347548998618894,28.00697129699888,30.50096700696806,30.96241563114314,30.666036115848414,32.3119862325564,28.79987436323365,34.41289626097414,33.26744392253887,35.97677352326305,34.60003136421985,34.001751791543995,38.39287508190483,40.30357005767664,36.77969021674568,37.73614748195618,35.413295049827646,38.91116885198074,39.321199491239966,39.091345433010694,39.033916491480724,39.12618652295977,39.62329803416329,39.4199411500161,41.05195676857866,42.95175390789925,39.32113795688521,41.63282607689494,40.88090352885689,39.070811841043025,43.23438994281625,41.29851296082611,37.50318182625219,40.27789626640256,43.14455445555227,39.074632575270726,37.2646638252001,41.88997211396418,43.06971095235498,37.97653542124683,39.93259393481491,43.03628857589103,39.8067258413969,37.80252370284032,42.33471222208356,41.892495844158404,46.888107919504456,46.67518322306396,46.311365096599545,49.56075943840905,53.501448442021825,57.4053472469453,58.40257059205127,57.931955502313286,55.74676704145388,57.1591169560432,53.53711839118458,57.227181136530945,57.43031405991016,51.087437987519735,52.20672881682773,55.9525694376774,52.66096330213986,49.42832504365532,51.51120697467201,52.839236429260694,49.18905375549232,45.88730018255023,44.499627838400926,44.53688313509496,48.05236716345291,48.30745120056905,48.975071219178496,51.896457505526584,47.80131979976054,45.32119001233898,48.507848895730106,47.60822068329675,42.760010281167744,43.897806019133284,45.85675954424379,43.49985915779191,42.00871073598157,47.11344488512034,47.05685531228765,43.08584259788483,45.818492234908256,49.71598998888345,48.968261271886206,50.96156521794672,48.96684186985323,52.79468868800635,52.65767791443776,47.05627871699475,49.554187873615064,52.093550946583036,49.43584319725782,46.87842874473177,52.72541536868149,52.57034898346381,47.143967961619644,48.18752282516507,53.331716125926775,52.06381608253266,48.10023385363566,43.867494830628985,47.72706173984457,44.00437349297758,45.930373025401906,40.54163107900925,40.01788823223198,35.93425095738532,35.573808187887686,36.29124549383051,38.874790153065696,37.84049871768979,39.58491786215787,34.54838606861907,35.924259028949145,30.9546585615384,32.70543130966034,34.68673252655888,37.67667601110371,35.19341212034339,31.76801063695335,35.057773411720724,35.58505923733432,30.108695922270936,30.77542150052662,35.1641495527707,34.703130438832844,33.354186313097905,33.48792409767608,34.079605880912574],[30.660663422100598,29.69133192773904,29.973704025588823,24.709341050345436,26.23403590253899,23.683258796275332,21.682490228396045,23.754601508731113,19.502298767020974,17.00436679412931,16.8424716983864,20.999544287181244,20.046608416676957,15.157375687439938,18.358616269224793,21.30782810887646,19.586492297392393,21.332036237303647,21.59535473238836,25.953576541926303,27.438558311691665,31.90369657782725,31.48711223068175,30.76727217783291,29.78142533582239,25.370531450996214,25.77778259444166,22.69451633844984,23.551503611947382,24.858859288741947,24.345825718921652,27.26749719279284,29.58819578551668,31.6445630536412,30.67598325783924,28.196172120141867,30.00044846125049,29.194286553731377,29.98099813800062,36.39089993646627,32.87048939834084,31.031954067202367,35.437369933272386,36.76939209172093,38.65655476236554,39.63093250988949,43.5010860593474,41.41851287775612,39.08508471737635,44.48735707198938,46.136259600191515,47.253959689150854,46.09970211405569,42.99106600252941,45.76395360233023,45.54681502459436,40.887545778897696,41.01804709318396,44.93590222340672,43.22748849236943,39.368542771932944,39.10531967046759,36.87136536551021,36.96303145677646,35.8074384990907,32.9140426627881,28.07634996477448,25.777739543190073,21.348414641654944,19.261343742467005,17.141618187524823,17.455008126010746,20.85039349195212,24.525050501609506,25.81935157532595,31.824063734030705,32.39073570381278,35.5982721388574,35.90349280953596,38.082310983908954,37.75737396564637,38.585171070679564,38.22700776083308,39.48808773901627,35.90748263568956,33.82210345346243,33.35385151795144,34.72667053474287,31.743720846972124,34.254062887660204,30.317994798431823,31.71049624701297,28.699426645773514,28.06706569968449,24.158655954008847,23.45494405482852,20.03907088400014,25.470617668083605,25.26957680737678,29.482641992043945,29.884442794987184,32.6748731322117,32.66945662653808,34.222923527781056,37.71884439873328,35.17989437591511,39.3405309476636,39.028732888037446,36.44279164759403,34.90183654135905,31.02789098235982,28.293490673485408,24.02191120011506,22.70484306075231,18.99176380522478,18.430015780964666,18.746011777224247,18.742502173829763,19.50463068135805,18.1285037640241,14.897105981188083,14.044598897412358,14.114356630177559,15.830739141324283,17.6358910150258,22.087605370370802,25.556401741881682,27.791888199277526,31.579594901891006,34.48291944849199,35.98038191484762,40.141281695109335,39.30736342575073,38.937774216476576,35.061532561217206,30.592227566392413,31.19725231912355,26.850789227065817,23.387193192060554,24.000057728307294,22.81792389246997,25.661062421116103,23.686899402502217,23.68888688865122,26.687283293547225,24.9981160791365,23.369722350269676,23.745909279632343,25.965544156928626,23.956996664882407,27.935599120908247,26.381630701875327,31.42462896961834,30.768394243054175,28.82268605374186,29.582697843731594,26.64784654276761,29.51135961934593,27.541949223357232,30.35514243802137,29.34391252618825,28.57286556109415,27.40297231384882,30.99870942078467,33.321538012795266,31.140490964914296,35.26606657844321,36.887584592553324,36.17641556133088,31.994902096505175,32.88865196146418,29.796759019716838,32.71167270530916,33.290350101192026,33.17884453422138,34.67613222384569,31.31937897611592,37.043375327404675,36.09669028235665,38.562059614427795,37.187621056452166,35.96846790432421,40.49367604460157,42.51165943379874,39.065517797117025,40.56124664990988,38.58886098182196,42.161490578837856,42.331869470669155,41.90401436431966,41.55399334797928,41.47083092909199,41.58215471848776,41.10527553306051,42.502581034429696,44.0476647740434,40.100887388496794,42.233286679414626,41.01231752793384,39.26551036516763,43.09066097827236,41.12046726946668,37.2800100579055,39.6947526863176,42.442847616346405,38.21658477384228,36.151544155744716,40.684760780972645,41.83390188259457,36.42489024714697,38.184564234303146,41.205712286589524,37.88684771390934,35.61972465296615,40.066449290371594,39.83961893521096,44.8249822218082,44.85733023276596,44.751427016597354,47.92921973189741,52.111560560339186,55.84968839984873,57.169071575491316,56.942801052477314,55.03885236773272,56.71909632386019,53.34859058793069,57.192598233051775,57.09612423877675,50.7706510103811,52.261202814542884,55.974730906722854,52.45257918817362,49.4441222706708,51.86166353083764,52.87208286769773,49.01282907952327,46.25678193138495,44.442480737348475,44.963637972518235,48.39231429854408,48.29427620402452,49.1906651696492,51.90216524016896,48.03901168630391,45.39508474170515,48.15179607563668,47.365161133166765,42.53701970980361,43.273469524744414,45.03075841742491,42.56872567069363,40.87455277889107,45.915296052705344,45.69042701099419,41.4653962890807,44.165373091995605,48.123637410168556,47.50495912783012,49.8127793420312,48.15462792642811,52.046098644868195,51.49554562842204,45.948828513791504,48.84167369331466,51.12512138984702,48.27677757020429,46.0980773148834,52.01607650166408,51.48413869243857,46.0927315112537,47.58125166907987,52.588049480067966,50.9818340931279,47.01123689462402,42.584165075323455,46.33579897030283,42.36438107933716,44.0834047900098,38.670512153826856,38.41726639662279,34.18312104348817,33.687431406484876,34.80208399450713,37.5426763039961,36.91137290653947,38.78947555998648,33.97186466427047,35.83886224884409,30.876773687291138,32.02988646225594,34.42663808950369,37.16524041721104,34.87434764489019,31.20109356815645,33.94987441525781,34.49378754843142,29.260852563137092,29.22119407242388,33.46496637175701,33.03225509404925,31.67545602274973,31.944176775905195,32.66422416872666],[26.94053455624584,26.133603036528722,26.648169045813976,21.628707346095652,23.534547446876644,20.304578281249142,18.62354724906498,20.58291177066817,16.19185565624589,14.46247034566802,14.383020380523828,18.352593264861557,18.22226991106363,13.570078896024302,17.181849943732693,20.181098175930423,19.033919316046276,21.52823660842954,22.782716654501733,26.77763864982668,28.86270212724433,33.28359049616733,33.32841316498023,32.79157731828953,31.30420828256235,26.803772327525117,26.545709837021526,23.004916838914042,23.439039199957115,24.044321254147743,23.924056873020863,26.06871624019129,28.41957187560224,31.06404422087051,30.083261898856286,28.01899432434198,29.250751192957132,29.224510065829755,30.05643253946154,36.546207294308715,33.30414881586924,31.913702293116074,36.35405622200665,37.547522881678354,39.80205312275721,40.738483618135746,44.625809109005374,42.258508505734774,39.68237699225297,45.15411736750686,46.73544338069989,47.556640411642185,46.57311909184324,43.09938174182598,45.92420324319382,46.17978492081942,41.556589701300155,41.453414489166974,45.609309785531735,44.24186400346675,40.51934704536171,40.15898698536792,37.700425892511596,38.372662962160454,37.20466282175457,33.90324785258366,29.50842604082923,26.67131766852832,22.730414168016633,20.03898300366704,18.509593422319767,19.297560080587427,22.028509060257946,26.062660975689113,26.57570344876841,32.70172789576648,33.093086065981495,35.969137258817156,36.179869267511286,38.46599118640646,37.61965599552607,38.479654825466525,37.53567324374238,38.907415585697066,35.603012075294956,33.39423978417479,33.395152225169056,34.26483691378916,31.90082596107746,34.09844558783595,30.417589944417042,32.0350264824373,28.650508784495194,27.470131267160568,23.269292316655307,22.467209871594676,18.692465286743897,23.81672498110091,23.115374586771335,26.810710194781933,27.90216376141414,30.240750488070812,30.876525772256006,32.03582301717124,35.91450110433288,33.04372950040803,37.06090719885216,36.88358865471809,34.02641719734743,32.36209391214957,28.37120550901994,26.11613523846444,21.600898411252594,20.983296597045538,17.605611411033625,17.72946468694869,18.666900512578888,19.40127753144574,20.89938369790224,18.73606317551975,15.577966129365972,13.77926108800651,13.925693637631548,14.656450182324198,15.547636312999517,20.406676976495422,23.005131968224788,25.727926730753826,29.4601547729121,32.6142037831955,34.161058426406925,38.30910113419066,37.924242495499776,37.41969221447738,33.80321471557281,29.271375250718407,29.7832053740888,25.83115748251859,22.752268104084905,23.666534686185898,23.446966518016957,26.722109714829408,24.522939380547474,23.907727203251127,26.885583450630524,24.711218116460113,22.774475080892408,22.469970253648388,24.181699225862495,21.595298455489385,25.18589586391735,23.25887822156428,28.268901602211677,27.208019402065343,25.619522027597537,26.73438161496376,24.120734165141865,26.998403575549574,25.60990731236578,28.341336101362295,27.968235871353386,27.75180315510944,26.925137765734043,30.699030493823365,33.12084198535603,31.18840588228779,34.95330627054093,36.875818109251945,35.7606330933442,31.603108784493283,32.18517670491821,29.135433057820865,32.0069378916036,32.38092317956547,32.19991677462345,33.34572975663179,30.063177432826688,35.80319370883314,35.25047538813477,37.46674017729087,36.403410126071186,34.51881910849505,39.31942408000876,41.58193714771966,38.325536795352555,40.23996203951411,38.63020285445581,42.299307457194416,42.57965303145381,42.10126735754377,41.56081814491949,41.266275705194836,41.06216261998321,40.26419451383301,41.388297380445,42.68284384341352,38.55427664464716,40.343303045870506,38.83263816703987,36.84920500302552,40.436476944251474,38.22844566934434,34.48060240612216,36.91525245987681,39.39532161592611,35.013173592624064,33.209398638865494,37.58164365867973,38.403003854097726,33.00973190747606,34.86887737805321,37.71219884138769,34.21684081502082,32.127048965008505,36.63969378583477,36.637289763609104,41.40876625643798,41.94343618033063,41.6960093695758,44.695273150375144,48.984558032077786,52.65180706014676,54.079226954513835,53.77096649071352,52.008815194958586,53.73848601865653,50.43725141347406,54.46211943054499,54.34076219264005,48.05605411820047,49.69171828499718,53.561892334367236,50.04671491419071,47.115066777141465,49.74308946525496,50.829869609085584,46.90304014862415,44.38848868996141,42.15169562620287,42.665414820957565,45.94706329660454,45.50462080462391,46.359349937262444,48.82478477671435,45.0435658105599,42.47079399305876,44.916888662014244,44.03537822124481,39.28535986821254,39.940827304460846,41.4593584315135,38.9033163877799,37.27537074938587,42.28252336589629,41.890780507254355,37.61515747260552,40.453736513081935,44.405996885480974,43.95423324460731,46.338292979720755,44.82983063403705,48.82495885760516,48.175502239699625,42.73194174093238,45.8166632706447,48.114876632956786,45.256859572673235,43.32127115715141,49.30105973654918,48.761423242127854,43.47301615807535,45.17461057418918,50.17847139862333,48.57286764059343,44.67028417548607,40.18287509293608,44.14369252978451,40.167316668479046,41.496087641695674,36.06492754118817,35.592857403680824,31.15896106397457,31.038505345735725,32.33989942963208,35.33625863258667,34.766148174750214,36.345346752897,31.491993675696893,33.45526335708632,28.46872618434053,29.052524333694468,31.367045600285465,33.876027751625095,31.53113779615472,27.927264339306593,30.438481746863335,30.778047490403996,25.668384755113642,25.544164109907456,29.626108236058155,29.044891364623552,27.647915573929268,27.949342147385458,28.70599412739596],[25.566707057107187,24.777229124016603,25.61861881157087,20.264902012149076,22.897081644527315,20.355176930428684,19.332447734349913,22.068280025675076,18.134246572631515,16.893635833604968,17.572950886854684,21.541770568449195,21.184960041362647,16.76502280056784,20.90481958720268,23.684530058612207,22.06751456452258,24.790293599525576,25.655410996467822,29.64625384637982,31.61435239463297,35.91193511771718,35.77667333390899,34.82676587139674,33.4233533961741,29.015855247646886,28.79086084208526,25.350466026708094,26.343401733416876,27.146261345021813,27.702179155463273,29.578799111443683,32.227651789384275,34.928565177366856,33.652925387956095,31.385258794033135,32.37894469627322,31.961965295617855,32.40044199672665,38.81886242210231,35.27677232954382,34.32144842681052,38.835910873204206,39.66258917222926,41.69429445403895,42.24323992084396,46.29683287736041,44.250389677604524,41.322046231662355,46.636638030961336,48.57930252531621,49.54340039104887,48.793180266852886,45.43650491016111,48.54947880097012,48.782988640034276,44.14819931786208,44.39538751565504,48.57588868042298,46.870948806510135,43.34390515262443,43.35716427433013,41.117778196417206,41.643134165348066,40.20452528423426,36.997503602030335,32.65491298426333,30.079608302810193,26.034191190602847,23.737921930834872,22.00091739801921,22.860360644447915,25.854375272818803,29.632027769459683,30.346080829977428,36.54004172547163,36.67362995590649,39.74634162584824,39.71351182040701,41.731496553246124,40.80393452372112,41.276982740464334,40.30388619476351,41.30808104741816,37.78594016652008,35.99743120465243,36.25821122908885,37.44886597321145,35.22678115910695,37.8194293344573,34.23501305722993,36.0536974709001,32.741004692493476,31.56513912827948,27.264002586978478,26.654520652689552,22.766311586815508,27.63411037605715,26.626004173150612,30.04508302279315,31.18663850298455,32.95683613520149,33.68958827413861,34.26251807911512,37.810693288118365,34.57128939266122,38.317156262210695,37.719654461172674,34.59134662064858,33.40726851558243,29.16094225742064,27.259347209370215,22.890508090863932,22.15112066005166,19.50474578359751,19.10028485697896,20.63066672653621,20.710261844987162,22.983801789809633,21.44787926163269,18.017704274910987,16.195115191497568,15.063554870709222,15.670545001383669,16.390777524774684,20.7987754117638,23.322469315174825,26.174259732806053,29.847302519947057,33.4352840083701,34.28311045149099,38.649291255344345,38.26404166142406,38.30668068594288,34.25376742355847,29.78391290952728,29.487905035512973,25.797282915245567,22.67009994478841,24.214853723272675,23.6569859459318,27.416553242180644,25.83042132579948,25.17168452854951,28.606278945716976,26.812694255101132,24.57515055037498,24.60896995035664,26.096809258647564,23.585411725948823,26.982771149831375,25.41244619162291,30.49315282060168,29.449708088931242,28.39866805780757,29.506454493218616,26.901373696572165,29.35321952518276,28.251962430522468,30.280625494474,29.55849953010049,29.857313765134762,28.270593714910852,32.37191321537175,34.14380449574267,31.560567572857714,35.25177542909366,36.77091772518934,35.39726655400633,31.3292627177875,32.22140902533865,29.57143553533614,33.0187852958991,33.827723989594304,34.105561022276106,35.513782549477874,32.62799099576314,38.40485479553866,37.535662300586836,39.566862282499805,38.03971406087741,36.02074830014936,40.539939878427525,42.62438967778848,39.33621259470085,41.63309822623916,40.265105754887394,43.9081896090403,43.654649770054945,42.92504683387822,42.118781688354574,41.7715859070531,41.30250977942749,40.44155793158262,41.492445838675046,42.53531264165722,38.24608954961979,40.13707941627455,38.36083430954757,36.80015182988289,40.16828571861318,38.302112602249295,34.427367306929156,36.29336002281154,38.95371505925809,34.68184547300139,32.21077317261455,36.61616540013346,37.89047862948165,32.169027453317895,33.625494446619015,36.61281992862464,33.36610048702483,30.733553173169813,35.018925526598515,34.91000800628194,39.920816757111076,40.03957661976271,40.22268026208175,43.3551487967237,47.724556758150605,51.290691248028196,52.90418298230592,52.9928058684187,51.384962142558955,53.373674665393644,50.34558388467876,54.27614487297198,53.79092520635746,47.53484964135034,49.45306834453117,53.0380346251015,49.25500866916975,46.54808578707076,49.33316247002109,49.92006546798197,45.8541310620528,43.78882185543698,41.51021925396499,42.68237361437584,45.986384124385246,45.53923257881729,46.79716437078037,49.332941449587,45.84579103619356,42.9058682596845,45.19952447101305,44.71783235507548,39.92061450344586,40.07729081792933,41.75428761943422,39.297000232251435,37.23452664998657,42.14542385476241,41.89825123789994,37.453230298321216,39.909260663213004,43.90412753594407,43.29884864299713,45.91546992590801,44.60992032466252,48.47135845537345,47.459750300755225,41.981194307450544,45.24184549404628,47.18027401514175,44.141141270972675,42.35638534856834,48.28077084262094,47.32970743512858,42.01029326979092,43.95836227825614,48.76238591448286,46.80809571123777,42.86271097957038,38.28065471221086,41.90125374397867,37.73239647361311,39.22093243920625,33.835952465635266,33.86797443451326,29.58165221285126,28.906056888517487,30.392177519776986,33.25672228117184,33.06068371752308,35.06878883385031,30.61812959106109,33.05392741055033,28.251502931986433,28.76997608497545,31.764687290819637,34.23236692732625,32.40822429452961,28.34445208782,30.405825207025423,31.21909331140271,26.405319912142946,25.343516266697826,29.482028839845842,29.386136911119884,28.200401592033742,28.738537884730622,29.75897048260974],[23.65050726403545,23.363718976131157,24.750980997931368,19.98588025754118,23.127033188316656,19.336766969759722,18.7137461755857,20.7998172669821,16.537860072850215,16.289190367385178,16.422730747459422,19.83243972899907,20.80379516225553,16.694697696467692,20.44758478242431,23.409138622915876,22.780965921503704,25.7564811965618,27.50884537883046,31.279332041094595,33.63889091522947,38.001628315932045,38.223206092333704,37.67629733794784,35.99742330194191,31.500129297653785,30.896171889819563,27.141066206577243,27.391713159456863,27.445900578635086,27.601586059546634,29.051162574139106,31.297344981319288,34.44139391651151,33.54963682524944,31.87399165041395,32.609154446873156,33.16656881783022,33.93565883339794,40.405344895165264,37.30044611085546,36.32838731432303,40.778419636328316,41.789382346242675,44.194091337461224,44.9699427860392,48.9135750365496,46.48107612659007,43.636208768779085,49.06954008639797,50.726579501621664,51.37393685581223,50.58537544368258,46.893075915560914,49.80517925056793,50.39739695441882,45.81783974017345,45.60664842783,49.902804186993436,48.71513284722258,45.10888677134614,44.70698298922243,42.1195626968523,43.089177813979724,41.94013475044368,38.453893413222005,34.29209415824281,31.2114138978678,27.527300222590902,24.541512889294783,23.30023074250447,24.077380079912654,26.55205209671888,30.79117100638306,30.948204125223292,37.02962661279114,37.442657704256014,40.03882674523706,40.251676710537296,42.616901179825184,41.39487370089309,42.23546786951344,40.798481006678465,42.179613526394185,39.08349980335963,36.90112682717794,37.319600472505606,37.80752465330616,35.951003727540055,37.83702032145418,34.35197009161331,35.97254051957773,32.33751916253627,30.746332575207518,26.45851476910228,25.381235221543047,21.507289023651843,26.24979430142275,25.037525519123534,27.87302924671241,29.965651674340215,31.643921576498766,33.10349978263773,33.647203278260434,37.830609226686924,34.467993824195716,38.134496021342656,37.930308641543114,34.61748882372301,33.059616652246106,28.844387013399775,27.449253422535023,22.81522095322118,22.993959645167322,20.38965228074591,20.902834677052127,22.51162619422555,23.454765197622883,25.589195815431307,23.205791100863298,20.09553801474145,17.798497959225266,17.51323056860411,17.386215178837254,17.20613156751548,22.074652418865007,23.480718294216032,26.8436853848042,30.399614061164986,34.04017074227759,35.23472734760206,39.4481311620958,39.56579804293595,39.21190056040626,35.68250940933505,31.18371651281784,31.111774659307095,27.789005505912527,25.097262269001863,26.597875663008754,26.897048842548312,30.650257293862104,28.613716320332422,27.589214388774575,30.694504827226247,28.32179091838447,26.07197034113922,25.28142424382403,26.343406104028567,23.16798061036403,26.04604189299591,23.68134706966869,28.50234106279674,26.60407861596821,25.815249639116825,27.58224025316705,25.554476974641965,28.309612345144693,27.762422858924168,30.15002571319202,30.35895348865186,30.863644395799724,30.06245720497421,34.06388424870562,36.26624695616918,34.22423490117584,37.62051315427903,39.54478825964464,37.94028162925062,33.903673585140474,34.38805972546976,31.640723433480307,34.7271737448815,35.10168203179783,35.03251351936443,35.89949693677476,32.84508257740204,38.52465947258984,38.2880091097037,40.18708409652434,39.27014904119368,36.69619802669185,41.608121453247975,44.01100426389796,40.94686110226356,43.38608843329039,42.179622940382195,45.888445225124705,46.029128006939885,45.39964729191167,44.579212249632164,44.08372616138282,43.46422873708425,42.33817270360607,43.141265220068775,44.012682337876015,39.61961681802631,41.06317715573585,39.03139176077346,37.03994035552574,40.117709864620345,37.8035641579635,34.15268325158326,36.18951819989285,38.360394764410124,33.83470637118014,31.96072383162803,36.0482964409056,36.63943049465824,31.03650962010446,32.69981074915224,35.29621488750169,31.657968291885666,29.423524764938993,33.79816868809679,34.16758072234992,38.73353810113171,39.80225079137686,39.75031059539677,42.53566595958007,47.07822189781639,50.504943124883894,52.29438999745991,52.18663264893718,50.78902970159997,52.78001798395179,49.78793965298584,53.99699636968086,53.58817161032397,47.41692655183188,49.446627671894724,53.31368714424006,49.63277648146108,46.986023114107375,49.97752396484815,50.798378949280234,46.70378649558685,44.83680411482039,42.056394897422635,42.99858172445988,46.07571808896709,45.149348510614765,46.179745140255534,48.28978073483401,44.82000638222999,42.17885891322264,44.018286350737554,43.20530250966064,38.60314151094845,38.81642413289525,39.97404923445926,37.30190008181557,35.539509924777356,40.37618916174038,39.71782051684896,35.207624044684096,38.0551844455861,42.01594636896669,41.80058034169272,44.51685225553634,43.44512318172496,47.5038287887173,46.40283567346869,41.14434786365853,44.674199987898334,46.698866736041545,43.68536864518732,42.279324283757525,48.271730475496824,47.36943741465259,42.24265902733976,44.45488010750362,49.25521055752255,47.34355662938327,43.52303127862749,38.88859132283097,42.778883937817064,38.616846232517766,39.50563397134731,34.13655212361179,33.842511701378974,29.244477658556967,29.189931545037506,30.980446789423763,34.1940507356045,34.07316451846846,35.59565413088508,31.074382133369255,33.49417624675345,28.676723275622358,28.36062075031072,30.959431720101193,33.02438449676395,30.903579396304846,27.22185739937597,28.9501288630134,29.169794019799564,24.575277565031737,23.633017171449,27.30943154838756,26.672340458756583,25.27555515188652,25.734190986425133,26.633460106397596],[20.799889769170182,20.417323184628373,22.13258042154746,17.018141342347576,21.060917786502156,18.391896819728764,18.674942642742064,21.773426863178813,18.40269367501156,18.644554464682205,19.845281363363004,23.26486683128704,23.678914463730685,19.96252664169641,24.43802201749369,27.019334740195983,25.732190800359508,29.090290442900024,30.503639327975883,34.14078897503812,36.49205262493387,40.64019005628195,40.77371080499648,39.74320359178294,38.00661121722936,33.64885806827851,32.90881330797324,29.236584994826043,30.154501167720365,30.41341745141847,31.657140978045494,32.63163493441121,35.39022788123784,38.62379770650225,37.21478090885254,35.264727152763335,35.571711013080055,35.65761202697698,35.88607909172295,42.209946534836824,38.7937348780778,38.52674732610299,43.05382063374859,43.517512323487225,45.711393431512825,45.96095099952268,50.098104763114826,48.02484428346823,44.66768398448994,49.86872822981917,51.97672705085392,52.739116632396765,52.31832497145853,48.728819715872014,52.04866552126634,52.71704285643531,48.151772021906055,48.396566075806014,52.77344936579333,51.186788066064835,47.92236202644172,48.061134734753615,45.764378883206376,46.68799085220385,45.11005146385418,41.64720598105605,37.72336704777129,34.88858431550962,31.204944781787145,28.679450932282663,27.283540164114655,28.41766960760281,31.067665550735697,34.972269557765486,35.198175789444825,41.4502194133537,41.333954888751286,44.18752901376469,43.954180640856194,45.901668942120104,44.458107936814095,44.71838444919069,43.16739753831416,44.02034361451757,40.68936737705827,39.094342359757896,39.9567510928754,40.84669927998986,39.31147892983526,41.79128591606181,38.52730506319784,40.590157772508874,37.03297773208406,35.402889998628346,30.910448183448043,30.286765566647173,26.191741915926368,30.45325359148347,28.79894369885517,31.305157255645938,33.24175396213623,34.05872044225404,35.57167962868221,35.25737233242074,38.901986643176016,35.064792179215864,38.30588013395277,37.52737217230149,33.89131332987381,33.01951867841763,28.53900066811947,27.655430247638893,23.35543950961262,23.399506777899397,21.857066714651367,21.790196451538428,24.16321844977542,24.463030738134393,27.65496641795663,25.900987050275216,22.533980236979048,20.11744797952915,18.42349520560045,17.96877993256684,17.461135314845897,21.53544494256318,22.689719505632606,26.145918893202552,29.52828835666709,33.691980426470145,33.948355867753364,38.38204640402941,38.551726592006105,38.903858160021315,34.89194023195573,30.554607299677965,29.43706970250683,26.621554174749363,24.0663007541316,26.34667794512935,26.50433902154556,30.842079272605236,29.516976007314597,28.306223599543262,31.90366244923402,29.969172035536868,27.332499416638214,26.920734629713806,27.631629736872792,24.654246469334783,27.22792032395807,25.545690826721867,30.395677234659416,28.822785223928932,28.73756645141717,30.264962908029148,28.178251508646508,30.228210445542913,30.05118007551087,31.392076487772773,31.149151020530702,32.39413811308453,30.670001980787138,35.05177797933201,36.40204978402347,33.64738779723375,36.794726700075195,38.26593932820245,36.26430469424209,32.426362053846766,33.20583409576484,31.029478572191433,34.77277332847116,35.67389220800394,36.210878833578256,37.39700374694896,34.94739922462838,40.624327420597126,39.96668174577338,41.56154286524475,40.05607177119693,37.25487730109953,41.75524393627668,43.92946898482985,40.891014651161065,43.88318523810276,43.0845316097194,46.74664190987527,46.22222441722898,45.25660941963837,44.06128558241176,43.4547413674867,42.43267220030159,41.17304498141042,41.820749264380204,42.31831117887525,37.74833804647324,39.25849835784563,36.88184135528458,35.456758040138695,38.20675722844632,36.38693827519826,32.60865589205188,33.863978384864446,36.26724653642409,31.96383768631732,29.208296129153897,33.3064694904244,34.54906427322854,28.57848552483426,29.683409284330715,32.49518473113888,29.286414187655375,26.321161169713307,30.367863233777562,30.527109401502535,35.418345738861454,35.86372869470536,36.34073833414729,39.30952226605895,43.90203325023374,47.215719736391755,49.19238931231633,49.58733884185407,48.365743464299065,50.671976537601275,48.04698345639066,52.090714764377395,51.214891162712554,45.115388289046386,47.49155060647016,50.96458812141044,46.96654727749514,44.626681371042494,47.80808743879659,47.994422233426796,43.750263010764655,42.48919634155576,39.64709204275399,41.43554973152345,44.51054866445148,43.598033836544886,45.16727234540475,47.39285028365496,44.345930826214754,41.209309280489286,42.87584528155272,42.650755011050705,38.00706993005904,37.545665259436035,38.98845283420699,36.52475610088532,34.15045652032521,38.82338916626434,38.45706328371061,33.801771629935004,36.03084481804747,40.018140187550486,39.526641271735706,42.4935110809058,41.65091623937635,45.481493999815754,43.94561078164981,38.65264155997486,42.3503004991062,43.903020432615946,40.683298096903016,39.452946384023186,45.33204876241001,43.93076261599559,38.79255841935729,41.29436938547702,45.819534399407495,43.50079299472886,39.65245628059562,34.93418818586352,38.41454047191096,34.057358847570306,35.116598899185995,29.829788481293264,30.145587477590528,25.796221102797887,25.044700629673066,27.04648435726681,30.0844036202736,30.43124743536596,32.44225340551781,28.504250516834237,31.503390571932478,27.02565628532152,26.62407604255057,30.105036441732633,32.11929663228184,30.78575314267506,26.509015566537965,27.637746486614798,28.604115401889896,24.486344201729445,22.271677171420006,26.0402386046132,26.230545351867207,25.233428070265735,26.042107026237474,27.346484192410642],[15.634078494429168,15.817368498517794,18.43309611355251,14.188323592264306,19.294945190721798,16.00824996590409,17.521343181938608,20.430428813872314,17.72648763521684,19.42329380593416,20.84188447007573,23.46183893493917,24.76643100823966,21.911197355986292,26.358393962006776,28.68997518178886,27.971476177533678,31.83388843934198,33.983605219261996,37.176086266562876,39.98991300112344,43.99187957433212,44.53452137276847,43.64910313205688,41.49060088117922,37.173653365553626,35.85214297877523,31.933855023060083,32.48893007596213,32.0566985472332,33.77983285558034,33.82055046093115,36.53942239278207,40.283484637318026,38.848491027467254,37.371447973045754,37.00283218779552,37.837580695901075,38.029855089414134,44.20485222210936,41.144467561255425,41.41592509691763,45.87593884478875,46.12810988007173,48.62647213333798,48.77367736579863,52.87540763694631,50.58283583473929,46.97432105688711,52.1089582020723,54.16367658629389,54.597603563012825,54.42589562945588,50.51627263395962,53.88586539785671,55.07050981326777,50.62555393874995,50.675353181824995,55.23683320553804,53.984431586533255,50.94306270943755,51.03803355349065,48.58959888779252,50.05146211614269,48.44659770816051,44.66556623507488,41.24587494944773,38.03562385783537,34.860611532530264,31.99164915125656,31.07236967015743,32.51462243143548,34.625217276248115,38.69139927686623,38.266812282775945,44.485788968295566,44.1577608248389,46.649110244242614,46.276487438144,48.240060088528445,46.253029812144575,46.45839836867633,44.27412055456446,45.13944142493876,42.195648800554565,40.61245621311754,42.01573229597005,42.39443399079577,41.60169472611846,43.75924093077857,40.880050019239725,43.14394687826927,39.34675273881238,37.236264958907334,32.66260430351025,32.031010229303774,27.86655690540397,31.366364046385332,29.14598580927101,30.650296192003324,33.38763362512091,33.33424738174096,35.661820003540676,34.62208156011243,38.501140472182634,34.24465311077225,37.00118151497185,36.297636641427914,32.29143882159454,31.485775283492455,26.986569229071993,27.130063887719217,22.97005263782662,23.994391017868992,23.34007024852463,23.904470871990625,26.78232814742635,27.641890123674155,31.345306313210372,29.10264344190703,25.991985467222367,23.06446979000118,21.442477398830324,20.026645044699563,18.345413342024216,22.113442744959347,21.64106507170053,25.623430885663467,28.607803937666976,33.07411544018228,33.12008250533661,37.406015693413984,38.23955641179028,38.56519401359634,34.96900682037971,30.822454396220383,29.35694318486945,27.432501160013953,25.619247760342887,28.223320705153892,29.36657826646163,33.960326101935074,32.555040471152736,30.7921183436607,34.24400083024606,31.97946678963116,29.12535915672074,28.054811780549926,27.98311753045232,24.534588178450267,26.147623701998373,24.21283581816112,28.601876706823706,26.47409811210009,27.294074190685304,29.232747237183958,27.797805737174972,29.509930470685166,30.264622881224458,31.13805170187261,31.65758879076247,33.659589764201456,32.25512863938044,36.68097012811458,37.94082555620761,35.47041518016295,38.00846832786742,39.705787523671184,37.19850475159981,33.61171898235809,34.016037449788385,32.135236825769226,35.76457892330075,36.47823863223354,37.02750776101372,37.78685266263693,35.671553799405146,41.11367467505706,40.881701378746754,42.056100190455275,40.87547864798685,37.28783565781616,41.88527637445717,44.259933079985494,41.56939235839208,45.08495327281464,44.79789143567122,48.468264682106074,47.976622922047845,46.92295070410673,45.473348152880625,44.60620903210989,43.14008438652874,41.47341510083261,41.69215372083572,41.72642000332846,37.002861991348546,37.949172492501,35.07795695948685,33.4999723154569,35.621572476552146,33.61034335917027,30.099421881871585,31.028423870559077,32.92997280090816,28.537199984024383,26.0231194676975,29.645471739356452,30.45127524144649,24.475526867907547,25.47725623392612,27.91619276125706,24.545627470670315,21.65034629769444,25.596831204612098,26.211120012146527,30.7030209644832,31.965526007637326,32.39330025051989,35.02027114362749,39.811453715993075,42.88034107621281,45.13765672003351,45.57169438534002,44.69718265459261,47.173614991309975,44.83732137124916,49.072229765214786,48.01533483853736,42.114480647896784,44.81157402316006,48.3570963458547,44.34008372011405,42.2800352249169,45.79722385997733,45.90849663330728,41.59466020839684,40.95229385927859,37.476542881861995,39.47907128085758,42.228390204406914,40.75619715632236,42.39573524509443,44.18280053975573,41.48275310051102,38.387633523902124,39.38572906558137,39.197573613481744,34.809668174983464,33.94237530006412,34.97565412619705,32.45265781507382,30.012781281596755,34.441792536381264,33.8321825091467,29.052643361793262,31.282566635969843,35.22490007516316,34.990238762933366,38.19433769950973,37.764527093859094,41.64489378681217,39.76248161371989,34.74800139112595,38.82575454729684,40.19414310624536,36.92193205097783,36.261402723768015,42.09691309494061,40.51132129654057,35.661457669572854,38.613217523951036,42.94247430504074,40.51010812092477,36.85442604433626,32.1041791545228,35.717082011463674,31.376229128824242,31.700827410325193,26.548067203053098,26.701396520700527,22.169984926596918,21.924907162656556,24.378346350220536,27.72843438226908,28.387145947790952,29.957648655115964,26.37412849658889,29.631004775494446,25.50356771665593,23.98164419052223,27.495915639129418,28.932605831018744,27.878861625177468,23.733647730991017,23.958383375400334,24.767057518117085,21.436730947173356,18.41220344928207,21.57904552689594,21.813833710340543,20.966548416863116,21.997001654584537,23.513340301121726],[17.34639801914103,18.251735402627823,21.239654853551492,17.84538099829691,22.700192414347693,18.162216165493433,19.517605472593896,21.400786555630912,18.157713597584824,20.251977261427715,20.786542231932664,22.897921537726692,25.318405837142926,22.4803467654619,26.222408501763958,28.81777225895684,28.94206553622551,32.622262911523215,35.22877977443629,38.45389885220261,41.359873462038315,45.52494074955255,46.192970078748765,45.702550832114056,43.54919421068797,39.11592493518656,37.80547625957319,33.75426918784162,33.660852044583095,32.79538620055958,33.641296975162874,33.74208366623443,35.870680670234066,39.77615679723259,38.89608790403238,37.89199788317475,37.66355807150804,39.2082305664788,39.84681096727102,46.117168726282344,43.39398910303384,43.22621527460489,47.615889644209076,48.265505183644585,50.99828265661832,51.521998173534165,55.48585100520229,52.865779434597705,49.58453017718118,54.892468407999914,56.594764789799065,56.84541695235887,56.442915419132675,52.344283136741616,55.379029051866524,56.65737668751075,52.23420063444402,51.820355456949436,56.3608079206034,55.553768421664934,52.26187746507354,51.84825463080711,49.07929119724782,50.704816736490336,49.50516907878875,45.64127338171878,42.1021784357821,38.59556922654373,35.523214960196555,32.163264313363385,31.47855249973799,32.554365884475416,34.42091201729622,38.84163094190544,38.22553022312851,44.21411965311463,44.403840076619026,46.499057663244365,46.55296340240447,48.936191561388476,46.970556501427524,47.69960857510976,45.36659137242857,46.71606997133944,44.10923852635462,42.02215350660864,43.22364722518276,43.03451953623799,42.213622988757145,43.63823947860474,40.678974138115066,42.49983636525566,38.53503573169437,36.26073564136355,31.913803254364957,30.71343442856286,26.81988554170898,30.42356509031514,28.345222785644847,29.491893338186127,33.02887056696117,33.342925465385015,36.13361494920335,35.52007724867025,40.0461559988965,35.97963002890082,38.85465351392227,38.67887428523963,34.73816825495786,33.38227936688927,29.089326670933122,29.312606366587033,24.899902855200953,26.442356708794442,25.250046241489898,26.428023262186997,28.89235978075692,30.306824783541753,33.34434285792379,30.541499299069425,27.66017611951821,24.715635753281223,24.063838624950712,22.684336349062104,20.91084657304356,25.234598034808545,24.368515479446806,28.522568456954662,31.489624577801777,35.69622742163583,36.365009763681435,40.433362737261334,41.50765425228048,41.294442104275994,38.20890418427268,33.99119784735095,33.12740632625239,31.103646672741206,29.33915126964308,31.53400160751013,32.91784776040099,37.218549538207554,35.32085529917806,33.585694460580285,36.67657077384469,33.97707208481613,31.34436773212376,29.74333855983547,29.64778262032417,25.769073747483052,27.141959514966114,24.302401056668735,28.34294317677908,25.231357283281117,26.041724778178853,28.6757729212903,27.774741187246704,30.020555522801896,30.959478833364045,32.57236216767883,33.82765640263844,35.51911803536273,34.931377071326075,39.10786815039367,40.98285850593473,39.049120972654876,41.63033657998734,43.6766196015802,41.287383205817584,37.61356416708915,37.74573538530572,35.54881605473741,38.70391578285984,38.95832249652624,39.02505948132629,39.3335214251118,36.819307856415755,42.16918771620577,42.506768851540215,43.770685464504226,43.20895650011978,39.47652418943568,44.46173518443528,47.09947132772626,44.506759358843475,47.79000449823505,47.34505788692932,51.06083836692558,51.06280543384371,50.23715592767041,48.9730063710812,48.10820684125692,46.785342713042716,45.07474391454278,45.253003254156376,45.36699309578471,40.69168246637684,41.3605814320928,38.503035504760085,36.437944945046965,38.4550430122356,35.93771741109501,32.70459049415674,34.04083985592069,35.431646748307536,30.81849573566542,29.168898464791383,32.433048260816484,32.37506830935146,26.761446258082742,28.09165271253003,29.9958885073052,26.151906334766064,23.972284697905025,27.94437283743019,29.114942781737945,32.95646566406668,35.278698360242686,35.3820584438346,37.583470414505435,42.45960151532755,45.38399799004086,47.74802391878653,47.87166250112984,47.15144198115279,49.512151472999186,47.10687428716788,51.5929953950336,50.75933428510243,44.95833905774991,47.59623588568356,51.459436202559935,47.65718710633837,45.55437671330716,49.11118457067729,49.60005280812078,45.35724009601161,44.626037159418644,40.89329192112844,42.39404008635503,44.96203023387245,43.13549368606155,44.372548104267324,45.738609378152105,42.91701257948116,40.298041015023855,40.94919978965286,40.23938754967286,36.1000473676992,35.54093424568325,35.93947714613665,33.14680261401355,31.265628383066336,35.59492454781191,34.43366423782487,29.669228842499603,32.50047170031074,36.34206135026725,36.62450933195946,39.831532718236176,39.57657888439867,43.67120659858125,41.84509310785663,37.123174339565495,41.340302735000314,42.904664013699765,39.75393338900932,39.37724866163439,45.22573089516715,43.829025607220494,39.20709089649432,42.23300600664497,46.585552117273785,44.31427909202999,40.806276458985074,36.116173037289684,39.939060625579124,35.709037397930224,35.54281922731522,30.519316597573688,30.28282526689998,25.561327541145655,25.99720399184251,28.547624845077664,32.088841246683764,32.65117025329228,33.72665507579486,29.958487378731714,32.91892724873739,28.705533124466882,26.68454916957536,29.453177213920124,30.530425248766214,28.91645940669363,25.444171503074784,25.567306601401928,25.458924574751123,22.28070325442469,19.934472135844334,22.4017695067903,21.66980841047728,20.424642717488027,21.198601685853276,22.384148251218395],[11.446820957067029,12.70316002626928,16.26086852661907,13.918764511374434,19.30216230080037,14.923088181817512,17.44324266281268,19.442093865085866,17.455047449113874,20.55052503699927,21.794228333362465,23.30780305719116,25.749295987080792,23.86476372925196,27.860679124254013,29.92969452039517,30.048725819668324,34.212787204429176,37.17750613733169,39.89186702786899,43.15217639532768,47.02000531485417,48.0190950553737,47.44958291868893,44.892005209910025,40.621997041251134,38.76520884633114,34.6400761929357,34.59000853153241,33.35396337689866,35.22644443425848,34.35846004528836,36.798122183168346,41.016028934221374,39.74348249834609,38.91520562411006,37.93961752074483,39.746457684431306,40.07889549620264,46.05161348747526,43.528591316850104,44.12997503711869,48.436637351633365,48.64331225230242,51.52258976147348,51.74646418843414,55.70815928371967,53.06379490779824,49.40241821256413,54.504227142953056,56.31504805727253,56.33552988360361,56.30425380765888,52.03880504377075,55.279953628701406,56.999489628084866,52.73041169662358,52.405005430214516,57.093738394080354,56.36081849775942,53.47958274402458,53.34960709780913,50.66856514593928,52.72000030510536,51.2369217244579,47.146093162298676,44.23936078639697,40.608103874079895,38.02553617414491,34.739517301969094,34.37173589929025,36.008271587313466,37.47115564745035,41.71775679255241,40.58587295662987,46.613798162161295,46.21395664420529,48.18754572223877,47.80506266328719,49.89605192883285,47.40076219722056,47.746143751002876,44.91629829063062,45.9792730461225,43.599811487957005,41.842266149644274,43.66886330828752,43.33107580283757,43.27700441486485,44.84813505318298,42.384417230681976,44.70315751175729,40.68971595601159,38.09792117546753,33.61656710889743,32.87586622506572,28.850129637828132,31.470141863420512,28.795616587404155,29.118340872877834,32.81143494317697,32.004467700228545,35.24451234834928,33.683314311345846,37.9778936200166,33.50763082657456,35.79320079338833,35.45359585926406,31.239320661820884,30.221559909094932,25.967087043169997,27.131035908290787,23.189504943205737,25.324319129868037,25.271282442018155,26.642961027881242,29.68120330219204,31.266248189670215,35.071271778335614,32.20747367212692,29.50066192661262,26.215638753935163,25.117280814986792,22.97578081613233,20.359456953692618,23.88097010660626,21.72325020663522,26.07893499808184,28.55931581283692,33.015556623929,33.2334700540681,37.146402563621834,38.71397903953257,38.69351052943628,35.856186837944506,31.959335923488467,30.605224212733898,29.480580234200325,28.426685979643217,30.98636964421917,33.12555861696375,37.6951365466225,35.9854151991076,33.764396114991726,36.827550003324,34.113481939503515,31.238056279949756,29.36185042680797,28.542362410257766,24.61709378841392,25.100802035037795,22.650197003557214,26.238940273064944,23.290100725595668,25.042639541019927,27.53563857350241,26.99911815077564,28.493797524852745,30.213607688568626,30.899112656075708,32.46662735359259,34.98653360490005,34.29955154603092,38.53914871844966,40.00193657971887,38.152217541269856,40.10305131344407,42.20338826739978,39.36449184388418,36.024888936223405,35.89896988307168,34.140889289175426,37.306557274401506,37.59005319371343,37.90752535760442,38.040343819136716,36.131729960129434,41.192459002198454,41.61265248997351,42.40059556390111,41.84000819456229,37.50884262297855,42.30398554085498,44.96886189802719,42.70139877774107,46.5280336519732,46.65378045703177,50.30197626917217,50.104797898484264,49.122771055231105,47.559081622980194,46.46494468137782,44.697192308216366,42.65585877543803,42.45371708035487,42.12540166909687,37.38819852363806,37.62736676091673,34.39882501536185,32.38943868832167,33.844517359307176,31.37536752730283,28.36702357101766,29.268098583270767,30.341250163943258,25.815254193836072,24.224461276085115,27.08485701015953,26.885737462248116,21.297434897149383,22.479241926287813,24.175768635075862,20.36545315891383,18.192209393684855,22.08448862425452,23.45586948966441,27.049539593498253,29.765884165901152,29.786390397283217,31.79457501922082,36.71847076124791,39.54169113275391,41.99879678539346,42.191831244328476,41.67348506823322,44.17105757480658,42.034223381312124,46.5495453732542,45.51822246341158,39.902208806031275,42.78255334182444,46.57447730271181,42.75182976620505,40.905744842358075,44.67834805243395,45.02016018636127,40.77295956511295,40.56712499897741,36.43300284445113,38.22767982474736,40.53441739497307,38.37606539705875,39.8110044094604,40.95683752595499,38.52956976429422,35.777282526865434,35.97574311932707,35.53601447707099,31.5714489794297,30.52622786260341,30.82808660345569,28.13819352935829,25.986841808754352,30.104400684431884,28.99054018972933,24.157886605369093,26.74574887788124,30.568412803309748,30.854797547112845,34.19735891130951,34.19590396819161,38.220252954217266,36.1498211796056,31.597478822671807,36.00903361994973,37.38297604849394,34.21569300374591,34.198139644089366,39.9361420948732,38.425448871653344,34.039968946736614,37.31937805238385,41.47877075483116,39.1841935152502,35.85367047043353,31.242608926454228,35.152686974121295,31.081588857252004,30.40181483847566,25.564489829836454,25.115757664483635,20.41655231049667,21.299313918155313,24.025817252007638,27.69071443089064,28.421899837867542,29.127660463772017,25.79872585127586,28.94131384703576,25.228154232962225,22.412427196333102,25.357317396193523,25.99775305648628,24.952048175942373,21.43772432906616,20.70746365249035,20.821840582478025,18.512976110599322,15.167097493798984,17.180842748369113,16.94891327817046,16.12557269454048,17.290132280712854,18.912700913224793],[14.819791546475813,16.63129197622105,20.60551840051916,18.355766715995422,23.9234753979695,19.62173346930708,21.995881227399433,23.82851787177747,21.446436055776886,24.323498199551228,25.133429873928172,26.70039825523797,29.450245771858334,27.17541781419951,30.933713324398404,33.291230358993566,33.562760783975044,37.49298485971827,40.3125326324856,43.30748249959607,46.39276091588391,50.43235665251527,51.2492801922259,50.69882279499905,48.36886778785354,44.0056564775287,42.42681041150775,38.324361168797395,38.21913891278991,37.064632934849826,38.33089324059914,37.849429122861466,39.98269695627094,44.148594449879056,43.194423158663255,42.41348482416227,41.74097935534216,43.57057846657514,44.05699394540241,50.15653052731372,47.55919295870364,47.83291812429096,52.18390771031523,52.58603699565729,55.397781302789525,55.718615454995316,59.70189502860232,57.084516841780726,53.54978754886098,58.720763557038026,60.51643402458876,60.61301387812546,60.451216370655565,56.22403544466017,59.367097766129206,60.944797835602365,56.61255208951797,56.200379102651084,60.83331424975952,60.11558715018721,57.0269639484266,56.7050036969059,53.926575081128895,55.792535503011365,54.50461410759472,50.51497808268866,47.25925184207082,43.65675212593992,40.803738800905265,37.408788213556825,36.872845736205235,38.08522840000691,39.79075085303793,44.208757729434,43.342730320694706,49.29800584106982,49.31587077604976,51.24986834619309,51.16454444042308,53.46674803503882,51.17187809657588,51.74407981720453,49.034524714719154,50.256966124283146,47.84598748905326,45.93076073221879,47.51658764309783,47.12680338667477,46.78272297873014,48.1167693106785,45.423327149528156,47.37934549297228,43.33427808286362,40.82420398728739,36.48479591278406,35.33398118496455,31.476690805750223,34.51143322115641,32.08107039081074,32.42347788068912,36.441933579850925,35.98697381468914,39.307324843730385,38.02579771423848,42.49847399942233,38.1030713361757,40.428373702584636,40.153856933481904,35.93694157149151,34.87106809819588,30.651195435884464,31.744130835422524,27.69068428514656,29.709950362296368,29.275398735459703,30.558790110302624,33.382135011549806,34.83134469772939,38.303603305217464,35.486476790331615,32.66458180182586,29.551822250117393,28.5987285137867,26.814011458343458,24.520532397328683,28.274423125342466,26.393193632650256,30.730740328589,33.26172989602569,37.71049531600885,37.91471433472715,41.849186708608315,43.38684837083816,43.38647197894512,40.48646437769787,36.5397992841852,35.136056091469456,33.8678045123622,32.57915487346164,35.122897872456015,36.872343940598824,41.41162296758275,39.70887509612626,37.70432495354151,40.82593685573585,38.117207407160215,35.32346567304117,33.5154428009882,32.89638441032914,28.909171342879795,29.500884440032067,26.723467069788356,30.188024225813415,26.69426752959797,28.39485374335558,31.259804702935803,30.880315821452456,32.68410265298143,34.30451533994778,35.340912145625445,36.93502544073525,39.21829870140501,38.566094115205075,42.80791180480759,44.362540939962294,42.3779248139834,44.51206727684698,46.493074526257935,43.71173936586507,40.319838636652115,40.344761323242636,38.548810047963144,41.78646146481736,42.08094202005449,42.31762393850133,42.435931517557336,40.31449397776223,45.428027218916114,45.932674587938145,46.84061070714645,46.335141003981605,42.10372445812794,46.94969578919786,49.61129859199882,47.28205799510427,51.00468312282095,50.97564759683815,54.64656342389756,54.46316324058944,53.49988542950902,51.97915540019698,50.935400842223444,49.22775771281682,47.240939547119815,47.080953768084235,46.73772484162779,41.97911037079234,42.24480600329198,38.942914614348034,37.01783965941784,38.31345557981783,35.86259804586402,32.94871622429207,33.656895882929014,34.587605089684594,30.134866050469228,28.48826338325736,31.102149523421584,30.783462280347898,25.29922264895804,26.194345559164265,27.591110779113947,23.86308014069851,21.629799018951662,25.029536076934836,26.69675585077128,29.981844911434308,32.95937082453142,33.29995422246789,35.10129623452209,40.11228711368607,42.636159447178315,45.38455312489418,45.77760402412472,45.53227654167764,48.15492783585517,46.22313268932476,50.760941063192874,49.582943033227565,44.115849755938996,47.13732469527551,50.845391010063324,46.96391280823134,45.281040205572396,49.13134660266247,49.28613790934296,45.00283901931873,45.050533483566596,40.86233916598019,42.82177882346703,45.05538063339136,42.7604302379526,44.21093491270465,45.14866124796185,42.85211406690021,40.19486529961026,40.09694189565288,39.60177035193126,35.836985166039746,34.67534086768889,34.65820948431543,31.924952373938282,29.881219501636235,33.700510391316044,32.30681247686218,27.47502298818245,30.04172517154051,33.711335879792266,34.25719402554846,37.782740593060446,38.111053520180704,42.088151177225406,39.731552369626726,35.45101708395938,40.04029737845751,41.17350908399205,37.95112410388279,38.268600872524395,43.87771012806508,42.08379289320474,37.87242734986827,41.38790681645813,45.32149879232011,42.77711690793254,39.52881952365552,34.90794329360919,38.48576547738934,34.2795423981147,33.47632708674999,28.87024631791733,28.834986180973647,24.318447498812183,24.884827157219398,27.844245187033813,31.393315946638793,32.450209833490916,33.33162071307918,30.279340014140217,33.54351283532781,29.900619653039968,27.028881996990098,29.949494660042372,30.39990299415644,29.333883572982696,26.02624940601385,25.041177095507955,24.910832844338355,22.920314010585972,19.602222877695176,21.06125276326241,20.531891916827643,19.596699266571132,20.59026768436721,21.938197447512607],[11.494796866754818,13.738691690531477,18.31729516277185,16.95147141728547,22.970148777171246,19.683297546074513,22.872256490248347,25.097942765003317,23.711071989869847,26.920257269842814,28.347666088283475,29.76721750012741,32.152495936687686,30.33942901791522,34.436977348816114,36.453888679561565,36.41852958341143,40.62947140089144,43.41156274509789,46.15613015743504,49.353915708385536,53.17283249086024,54.07823560089761,53.29303679470376,50.78992467755356,46.576621207256174,44.74519819002615,40.69238388848401,40.88538261497901,39.71387208945664,41.79897928292508,40.80668575007717,43.280595211126496,47.55359887855973,46.21466421937155,45.36201324659824,44.23878003450172,45.926020658406415,46.05030946913884,51.90273125464742,49.273351953004514,50.164893216761655,54.489502227094384,54.462347624200255,57.21984234358473,57.17238260127979,61.21190480845016,58.767648549047024,54.86283937258011,59.78818265886276,61.82882349402608,61.87956286859603,62.05504957409936,57.834689922403555,61.236680202582896,63.02625067058726,58.788668773137545,58.626301069024336,63.337124229837485,62.4653121401831,59.71107806825954,59.75062027165642,57.14858172630056,59.14933891279748,57.55885170657548,53.50487755325763,50.59466542936905,47.06219297740559,44.375671368636866,41.20150260017619,40.69620513985487,42.248239530761424,43.90850973446559,48.13282022783628,47.127545168494564,53.18327703969172,52.742786599333414,54.758005962269145,54.30004454089678,56.28553039304457,53.69699966537144,53.83900890853481,50.89953025224342,51.73770924862863,49.339957339049576,47.85238116363705,49.87099703264369,49.61859212389618,49.70504045375764,51.37398861071963,48.96202082471187,51.3005791091734,47.28514879418277,44.674498792200936,40.20603858714398,39.43434875783415,35.436764907375334,37.96833917860652,35.19464548298207,35.150894086138614,39.0184775098201,37.74306094347116,41.18445053971011,39.12527719319142,43.13591601911307,38.41172926649906,40.1699332997792,39.51888975697295,35.09131129346254,34.60027301673182,30.417044085121717,32.19223819760119,28.664667712758437,30.79613369896567,31.25392549296393,32.346875142367566,35.6106041846388,36.853808137537115,40.968227092668656,38.39701245456644,35.56281552376875,32.33611798391255,30.763354571086435,28.639854011632934,26.001639690432896,28.914818051361426,26.376122854584754,30.65991057572264,32.75098789700191,37.4580496822487,36.934597578744636,40.796603715018136,42.605496262725175,43.06485980385528,40.11907026318088,36.51756590082064,34.388240099660585,33.88467672093641,33.05120900987334,36.0128276077856,37.99646839080514,42.7976479918718,41.49030580246774,39.24554795553722,42.507569097800506,40.020599180745776,37.02087684736473,35.3093936870966,34.2727756310079,30.486179805593693,30.562031631186446,28.39750632073437,31.561203261201253,28.473968208280795,30.79987381038568,33.366660831512924,33.075813766918955,34.20441174451779,36.24779264155952,36.39724720332927,37.87341232903327,40.790138206724265,39.702911029847144,44.06371436762905,45.02578108855832,42.79373158363111,44.463034857029506,46.2156653145927,43.059865214590715,40.02104840504604,40.05326300150479,38.78987617313258,42.2619811412055,42.80795728386889,43.432872050889344,43.62461008214912,42.07156080224767,46.99241684792774,47.322978845866416,47.86830541970318,47.09064923325024,42.54649034972313,47.01340656225131,49.53350772766758,47.414929288202174,51.6084374667038,52.03082779733366,55.61105962170275,55.01646230762108,53.83879804953591,52.0135273521803,50.81165268982941,48.704010672252046,46.50935550994554,46.06484311569953,45.27549397086357,40.484624861928594,40.51522993431038,36.85219322057324,35.33853504625815,36.02139690005956,33.95581636386413,31.221416160182663,31.116647217726847,31.90192388643555,27.80229866578824,25.700837123671352,27.84770982872468,27.822545852155784,22.330163978876904,22.57766911763595,23.800397205290636,20.562514387977057,17.835774265354093,20.5890355490851,22.389812761512147,25.517632110603817,28.465775274247108,29.199586382697756,30.873826779656884,35.93182635109908,38.19151095449764,41.18913385142001,42.00484877117249,42.08060616177393,44.98695913095649,43.522691595996164,47.925042936245326,46.3220977205067,41.12767306275879,44.497848365027586,47.86454999987129,43.822114861004145,42.5498972856499,46.60592039349296,46.26684459433754,41.95020850940347,42.741947748422064,38.322079882244154,40.93734945600107,42.9505126261674,40.470929024900755,42.336202264932815,43.158034637992515,41.41076544307145,38.454755124754186,37.91974185445213,37.95588401219058,34.400465317819425,32.52842580855475,32.5663534548222,30.110055987394116,27.56998760693783,30.946832431264088,29.757125423091193,24.920460918916348,26.771496091347288,30.324399429777596,30.741688885605928,34.524397285055436,35.253178332251515,38.956826782828465,36.110663482408654,32.075528488167,36.87389862843988,37.495761089429436,34.160321575010364,34.9428733954133,40.28176206124377,38.04386752403504,34.114893632410315,38.00199547476533,41.51685617975678,38.67108321856235,35.60943222365986,31.07604250160099,34.30753867895578,30.13354559926104,28.95697639986223,24.739338773686235,25.073239138711696,20.95803420809792,21.32595399049411,24.55907829939874,27.957523284440295,29.495966614921432,30.394601498608186,28.1728969974902,31.788624606127687,28.798539123950594,25.488003307310493,28.88018626949188,28.978300960031792,28.75932091777111,25.2818379951374,23.391039258238123,23.833319245499165,22.84336456052104,18.403141318320518,19.307937850884333,19.67385736983968,19.346992083420524,20.666647337065182,22.342625591649035],[6.608561221905879,9.406694527032332,14.263167236392414,14.41089586681677,20.150641658809,17.23184892412802,21.013203795417226,23.061264759138613,22.72152292325525,26.419935703320466,28.227051940042077,29.15047452036326,31.46052973118721,30.431472340766117,34.52922499729169,36.09750015290785,36.11746043718854,40.583860655653815,43.666713588369475,45.9342658032612,49.398022029639996,52.93322488763526,54.14356320907866,53.38467261006795,50.55244166099389,46.522849291406885,44.258883406170305,40.210086212434746,40.343111701998104,38.870380669613645,41.661838256885375,39.946099569438225,42.60402918608495,47.03211290605021,45.41469057555778,44.73917450963335,43.05687529480659,44.97934074818208,44.91057331177146,50.42587621781913,48.0654199429342,49.50891497467365,53.6868709792187,53.354916663267566,56.25155297480185,56.03560131309363,59.992594085135245,57.48100905522723,53.374530133581885,58.10376231917959,60.13732080273436,59.952773771272945,60.400402187369785,56.064735605199566,59.55108277743137,61.69677543533251,57.63855183959594,57.495083250999215,62.274096405231575,61.53205588706305,59.12216380977488,59.342124730278954,56.811812163806344,59.17543289071378,57.403391986046024,53.18947583164456,50.84528710599936,47.22155300956254,45.005397662595605,41.89204287968544,41.688483972415064,43.669466409262256,44.92926764700354,48.98066200158812,47.52886783284089,53.53194899208269,52.627378684057994,54.497351141851176,53.70392330613799,55.45159359373563,52.4674311932757,52.33981844897081,49.04063264903426,49.67765723280394,47.54650948407909,46.29211529666159,48.756554667548556,48.34475212836125,49.043223313897826,50.770581802885125,48.791772574836266,51.49804524124852,47.497420555201714,44.67894124881969,40.18824541578871,39.79914292128014,35.78616499810348,37.51818486897593,34.38872390033141,33.77450952864865,37.58172863119441,35.497648759750966,39.172580504229295,36.45629308617276,40.205995182825724,35.312082886682646,36.5640906391351,35.85685150932892,31.350810823306787,31.09445329529345,27.14262993085112,29.60937457858686,26.62529536562957,29.169109654126085,30.417870311775086,31.71431887308413,35.24203412081028,36.71053408990159,41.22488003142953,38.551035998081446,35.973010065361194,32.56741995275528,30.890264166120442,28.267230980957773,25.12566033940153,27.321545247431942,23.819602998285596,28.042966213956905,29.631424457751454,34.32550042871666,33.572504550156374,37.15897414538626,39.36754927682275,39.85835174617521,37.2896731114919,34.04323340257543,31.745488471139225,31.96929753149266,31.77043112438136,34.80505246826293,37.443915563239,42.2662854283016,41.00413654979044,38.41134215147833,41.487847020887784,38.97443470986466,35.905236470274225,33.96215635060737,32.39756476834291,28.721070044190636,28.0881339108206,26.34578207296905,29.000865055682098,26.29041200331237,29.17116430372223,31.460279692972676,31.43463566526454,31.94553077135223,34.50895292234095,33.972518659756204,35.71949811852757,39.166687389695646,38.16289058828241,42.41415820556806,43.14537609099085,41.18363005703122,42.303930899751,44.1878274804381,40.771079117487254,38.04862314864566,37.771601790619314,36.811716194578366,40.08270791685483,40.55104334006216,41.28983294728592,41.28922104901377,40.219524139556526,44.79431580512382,45.22671812781145,45.39473147373275,44.71124747146032,39.77465901401598,44.04548953130933,46.58806037171058,44.78919988519881,49.29696959484979,50.1489661848471,53.62840462421175,53.00013534450247,51.76349361292823,49.769898075090765,48.41058527046491,46.01380464431737,43.578359661812286,42.82892409566849,41.736308929319684,37.01064171382151,36.62929247647534,32.77296269216329,31.226032434847706,31.438962831896653,29.378697933514296,26.94844482240548,26.571593695164346,26.994634879943252,23.046794747329788,21.240823038848,22.909899924107403,22.637755044353653,17.372749227736705,17.554214892664163,18.50347723256921,15.290494770563166,12.767865588738314,15.49892376012182,17.53642406171127,20.32778218389926,23.8050976935392,24.219076885518916,25.680983606221808,30.73604314369436,33.016289468210765,35.96576549385633,36.67591034681146,36.829247214122034,39.75433873435776,38.430256533291534,42.85042929401945,41.20683121404694,36.17227114781199,39.63740201327258,43.01030166043201,39.064037066884495,37.9418400808211,42.09748299845228,41.81072294650614,37.5768513394164,38.65777562750584,33.95081683842408,36.600139312670215,38.35700597866068,35.62787458040334,37.56076488157723,38.20112568725169,36.74690382266068,33.76776404079721,32.90448320362888,33.13041622794305,29.77367829643415,27.578577930013722,27.5524243505527,25.245954721805838,22.533013793252962,25.698054380676123,24.612133186283394,19.812393789323906,21.422938360775873,24.962773154629367,25.3536971885663,29.162678992457405,30.020230684732052,33.67145477585125,30.756530625108102,26.86460184491066,31.739122367833726,32.322391487633034,29.050910837247724,30.076237528097273,35.312193336960185,33.16923605388296,29.471052927796592,33.44099097983306,36.86145847306043,34.18777261980739,31.317550728845475,26.95367341958632,30.43764380151077,26.587857356704973,24.867338334935813,20.850190310758553,20.676094644816168,16.65960871267593,17.76216595889329,20.95250314577406,24.43591190312408,25.912601572620137,26.25424510354696,24.387772625456147,27.923703752871017,25.46744324135573,21.559610012632824,24.84010276333342,24.534725730040478,24.80736879255306,21.51577871469267,18.935800740810294,19.56455765586427,19.474254651735055,14.517404410440852,14.761547253800677,15.715389284315597,15.92256478838981,17.495376414731606,19.44476407418535],[9.458544643159604,11.462904577840312,16.11785261626859,15.568723264518347,21.633802444426305,19.884774295203123,23.589225743732676,26.293020653815642,25.86819847288375,29.09530145684089,31.145679290807365,32.56060396355852,34.314594015076395,32.90250373046813,37.336929758028305,38.98921624151311,38.501769306419924,42.90840739127151,45.516467604625994,47.99549209785304,51.22966202631925,54.77257468217638,55.7209693295687,54.6546427887818,52.02118705272993,48.02584573153401,45.99491733088842,42.086552549741626,42.67827034938624,41.62421897206039,44.562841603275785,43.17370294553753,46.056321625172565,50.315664625425924,48.522552879248295,47.486756150241554,45.97864803881725,47.32881723095998,47.02920590643751,52.563887888124974,49.85535295292385,51.37943961941248,55.64569367686181,55.144788278846235,57.768870464478425,57.30351829052565,61.38464666240451,59.1977143269273,54.927085553901335,59.536076790245204,61.86793775094215,61.92416457925482,62.459767013315506,58.33476333051756,62.02290751998757,63.95005603560621,59.823962896543506,60.004795458602565,64.74665865411953,63.62762464818675,61.252095883559285,61.73579340229143,59.38884056768738,61.44657208973795,59.505429164200486,55.45239601846998,52.898054763421406,49.5327686389554,46.99976513404199,44.158476742111304,43.63863686566638,45.54287645835233,47.1937714598703,51.132464037214966,50.06205458048484,56.21357808773275,55.254710496445405,57.43286856908656,56.55051408470052,58.138439713000686,55.32746205350079,54.960161977942846,51.91218196332102,52.275012019372326,49.81909254918599,48.85464603868568,51.26226204289014,51.29020039415172,51.73166424451196,53.86744529716958,51.7234313795892,54.47853062992136,50.56447076249802,47.94640348825374,43.3548776511046,43.03904118320599,38.902694639419394,41.009625809515676,37.987581736596404,37.79838409656951,41.21798740088502,39.23411623584305,42.54510834986776,39.774180352831586,43.11449150722996,38.147657144564846,39.35103608132999,38.20566408787207,33.672191011911885,33.88594376654112,29.79294854640906,32.072777235417405,29.193266937271854,31.206999629544544,32.53514900395531,33.300769146886886,36.93754869288364,37.866128805939354,42.58824368590009,40.384958706175354,37.55908609128667,34.32015894968046,32.09506143884412,29.74205926966418,26.93766221618248,28.85034542453242,25.922843248892395,29.93246985312364,31.556643863418653,36.446116244973965,35.08451716999886,38.86853030144675,40.812927092323484,41.840242341431406,38.75869882129803,35.57703506486973,32.67465238619778,32.9349454924429,32.550444229953015,35.8892891696803,38.00020011849137,42.98709138765626,42.15709740703477,39.73664759503618,43.13062241862613,40.98701946066192,37.826893236517805,36.36933498831475,35.020381424156795,31.633197600481843,31.3684413706928,30.03893796833032,33.01233931221169,30.67808101217957,33.3521631638487,35.404218040124135,35.002435279207766,35.422441620263896,37.68408642291762,36.89322216314326,38.01821446509043,41.493396196508165,39.84654068400011,44.28375973098859,44.55001393619439,42.0123457386746,43.20885195763337,44.639792870460894,41.16134775679309,38.538756610166075,38.63771787057214,37.97154934745206,41.69659193218117,42.57742469673289,43.660925967871265,44.04638145322568,43.10638763570755,47.824218224575795,47.82836556999067,48.037158525990655,46.852409131325295,42.16297361323407,46.1057008977302,48.38557226455093,46.45421000390122,51.06498392190553,51.92051559258822,55.362366998040876,54.287708084510335,52.87337131600131,50.747874883571924,49.421812779698094,46.94320070294057,44.60253018398207,43.915102362901365,42.706331672257036,37.94534812503701,37.848016557273624,33.909922905806944,32.98445712482108,33.12743715010092,31.66043009533657,29.050624220326526,28.019602601310506,28.86368136660013,25.302459949565726,22.45473782711414,24.222425851921127,24.89985225311053,19.407520535428326,18.800662619481262,20.09587390546425,17.746453716247146,14.199503416859221,16.10885139144591,17.709911667973415,21.005338689600205,23.32979665992936,24.61072325844968,26.363106513838012,31.37838596274772,33.48757638727354,36.627289129282666,37.957119866757864,38.23090699904309,41.41312063845921,40.39692747277712,44.5272436252996,42.47182505859366,37.520521595195824,41.18989445611979,44.09246282474675,39.852823353124876,38.98331272969605,43.165558863301904,42.24303272071731,37.91213252376772,39.415941876089825,34.93561852693545,38.2984298067093,40.15576281490314,37.69319186052871,40.06364994112846,40.96293777266805,39.752889065861794,36.38895062620512,35.64734855275229,36.371282975507654,32.948820938177825,30.37519309311519,30.770423689806453,28.75050331499113,25.58671407063381,28.53430577489888,27.856577849197688,23.17674801148007,23.980548408819633,27.404782755905547,27.400425542790252,31.34351045600837,32.31922286688251,35.62557095294948,32.35584090453414,28.449120940055806,33.30337623781794,33.36265782608161,29.896309427325875,30.981592099071364,36.009335312936976,33.29459560684745,29.566028171419433,33.741465022596984,36.82865325938,33.65460560226132,30.73489136617065,26.30594034219891,29.101642144709718,24.95320959017553,23.567873492905584,19.73901890467205,20.628944785028466,17.167622826936732,17.03363002556154,20.443207468548493,23.534148379630654,25.57969469034363,26.6380456733406,25.381441791086253,29.329484429677066,27.092193866537755,23.66171715407947,27.630035055720445,27.562381873631626,28.30269466802926,24.560085704060437,22.002205496236275,23.333582601277445,23.138951011061906,17.792011182477054,18.44353720888483,20.00567274312608,20.34320308031498,21.88860160109574,23.83987415056827],[9.693684297478605,11.881694140726765,16.402212859337308,17.26967819895057,22.89302966989264,21.663376602951395,25.682886418145337,28.168872962358154,28.405794904815057,31.91572805695249,34.10476393244277,35.161791184283594,36.96265067703985,36.010616773690224,40.376402034640535,41.782494537450276,41.37612359672703,45.90234207621728,48.671355887504596,50.87400650868465,54.24564559056024,57.60828798493375,58.72272089216719,57.649363317317984,54.843610860120094,50.98036849473485,48.71003437667072,44.83423777722851,45.39092127894498,44.14052791675354,47.44263395585398,45.60900019504672,48.5288114556011,52.89732556124973,50.986346122413686,50.10371274085037,48.24129105654252,49.76188573916264,49.32984688962119,54.594428691448954,52.068201273926064,53.96785274587748,58.12542090388635,57.40398881934926,60.084597249164055,59.463297631892566,63.48343231463773,61.30048066503429,56.87814236435412,61.2915114219702,63.64915644996661,63.55134624416791,64.30520752223114,60.12060620152643,63.865637344940076,66.04482808969145,62.05930239135519,62.25525466345308,67.03046315995492,65.99707072740597,63.857337661587806,64.4513301411432,62.14547649467249,64.41941301194186,62.381514782897085,58.24650353001647,56.02465377423652,52.611231787048254,50.34021426522886,47.51848338806131,47.158975765704106,49.24236490929774,50.69086447433851,54.55550910021703,53.24244323079389,59.334737712373496,58.14383495081066,60.19878498566263,59.13814247157442,60.58712732035866,57.51756749935908,56.97418463999296,53.66888441198005,53.8792457445141,51.63517335763448,50.85785423206126,53.56329853717254,53.461678423911536,54.31188337874162,56.42612288072794,54.55511967281058,57.47949631023803,53.562711473910696,50.80564195687439,46.24588751163783,46.07864352136727,41.98462949629848,43.61539057710976,40.39659633994302,39.73527038227809,43.227267315604074,40.679753785350634,44.20579176622681,40.95096116860629,44.05253808385824,38.983764296243116,39.66454142435392,38.435774605247765,33.87849357299265,34.38389841657294,30.58996116278862,33.44164935893462,31.0448333505778,33.30529356507262,35.14874981082175,36.00760179331924,39.78120762955789,40.79239785111296,45.73640777012301,43.50789229174448,40.82841555347788,37.51910876775795,35.23005491156102,32.63644918363949,29.585569878870466,30.955436832885407,27.404449197773445,31.244667410976916,32.38011317386274,37.214597658237636,35.51614820783514,39.00007588526891,41.29011777990683,42.45213384194571,39.671808629872515,36.86955963244356,33.708331293156554,34.622148869925525,34.70222210317035,38.11472194440548,40.56589301928486,45.558456664378035,44.83621575737299,42.22570037490803,45.503387061312324,43.38615009349902,40.19995338206063,38.61689323687772,36.910940006976816,33.63578708066982,32.82499872282235,31.755499252773475,34.2131684930967,32.00088530687709,35.10806334073169,37.06942009312895,36.95583935075305,36.957817792990994,39.61195011939763,38.3347873753448,39.650626458115596,43.49856679455131,41.876464266092974,46.2156378573326,46.23244727633464,43.81543249760316,44.556274479264296,45.963207211387996,42.25813311541083,39.98075975508394,39.91078336670528,39.58637819642118,43.191454681099565,44.05675086664965,45.2530925510755,45.48956860851552,44.92870727248221,49.33601668903472,49.433340967539735,49.330646867352385,48.2050948754587,43.234864014565666,46.92425700035099,49.16467904480327,47.52490444621728,52.399770140675045,53.60749979526714,56.94259472291784,55.76240743364886,54.273544240704496,51.984550034577225,50.52218366936972,47.77303048596393,45.242413567378556,44.263681352002095,42.691193195938204,38.04248252208607,37.55493522648415,33.38832442241868,32.640022522965204,32.10319487380994,30.830243041311448,28.657672906911333,27.048552146329744,27.42631592705298,24.32606334252845,21.638906185319023,22.55385186707471,23.078257597551392,18.182808175158574,17.007717738192596,17.672281677814308,15.949595026165195,12.575986367067017,13.289763564996555,15.307095690819194,17.782009715183282,20.65201957254202,22.084007792625343,23.373698634686082,28.353600733410175,30.07904501344071,33.470005404217574,35.032572988335716,35.69128971939064,39.03893004475707,38.47331655135039,42.51470967180572,40.19167537957178,35.66387012499239,39.5688619098496,42.250156434112824,38.055106616083584,37.587860704481685,41.90698106486938,40.74489409031839,36.521089579869354,38.66516377911349,33.92447893539722,37.56703556180001,39.0632734967103,36.299676959813844,38.834167123406836,39.40899489805413,38.72032006792336,35.36428044735755,34.050355611832586,35.070043921472305,32.07893443769906,29.015014546733582,29.187526466282062,27.446432404281076,24.152302030947727,26.423346017597297,25.789286048717766,21.390631198754562,21.544771029874536,24.638897812675577,24.702805568404695,28.78991580304039,30.234205685776125,33.260983698488225,29.59437264815425,26.218947542168866,31.20319125498985,30.834702602437947,27.415185517908707,29.11797846017698,33.73602088359766,30.75786268706838,27.57289016365307,32.038030905599,34.65086460474872,31.37581137871284,28.832962312851055,24.718717404350617,27.24931283791583,23.4390584378529,21.299267578563967,18.23835129022298,19.13855203370457,16.377645041278114,16.55847128636568,19.95758083151567,22.80504122074557,25.119119593691575,25.78067536522594,25.336167175640284,29.25248458975352,27.727898089155946,23.83762074876623,27.669467198252534,27.09323896615696,28.4052830504063,25.010166242351097,21.701992800280454,23.1426624816006,23.99728942342168,18.407237414566396,18.096225540468563,20.05286458142892,20.808787247633553,22.40444967648822,24.365251305599557],[9.040437780952521,10.044439907211295,13.962614726696462,14.401473474244794,19.913214208853624,19.722884168442146,23.66465698042677,26.642219590626663,27.12645291938619,30.287057466615757,32.83505393478685,34.16909765621096,35.319124218391686,34.37996398669455,38.99295061754605,40.24740721851354,39.398185079694024,43.929284041943454,46.41828081154868,48.55340451500855,51.832309389920376,55.05678378525087,56.09902057234523,54.83221450219883,52.04558444300108,48.31119429288829,46.05556465784079,42.32588314739922,43.21973738593121,42.24117693959348,45.953319733474764,44.16489089263554,47.39002364527503,51.59384854222182,49.38870800968898,48.22431939406153,46.34134139219848,47.41095178880245,46.73461802646924,51.88223685087389,49.1867300452913,51.3065773795794,55.45183054239477,54.51837228859975,57.037397662724814,56.214806591523384,60.2734230806622,58.29540418185061,53.736180947288716,58.01466935402827,60.55359846963234,60.580758586046706,61.442887114012464,57.420442631672934,61.32747322940054,63.40128741078334,59.43119054845218,59.89998683032061,64.63983701843686,63.34437190529534,61.35782564338423,62.23765111623597,60.13800189742564,62.287931978980104,60.03949127653144,55.99586122866845,53.86853043693474,50.65788907266768,48.374965224159425,45.850404098908,45.390534237274984,47.64979839556697,49.18249176186853,52.8109117034639,51.61064935618292,57.77526817486104,56.30795573692148,58.58689787817386,57.298918998168304,58.49593241569059,55.47454692408648,54.63862075256322,51.496971741193754,51.422736077435076,48.97570482968462,48.496869782584184,51.26080770389226,51.51458847681397,52.32724954878435,54.85661571007187,53.01981746996804,56.161278450416305,52.37715084316121,49.7599907680224,45.11477542170521,45.25077362917062,41.04924388877635,42.677750326393635,39.46727519202592,39.1633036833374,42.07051994932482,39.467696218638295,42.581012757950546,39.201124228007885,41.85544582873,36.76201356017575,37.440677771478256,35.85974125941741,31.332193198905678,32.19445502577186,28.305608620278935,30.991548621065775,28.823802926914542,30.71216912771978,32.83815368937786,33.358032311129094,37.250129800186144,37.96735040558348,43.160606968325645,41.25545442276048,38.54896822096887,35.33260321373951,32.649961691591095,30.0808111942399,27.1545342156938,28.04969978723805,24.786260895240968,28.381097502409656,29.49534571833081,34.420104529797236,32.33794428413155,35.963264064479745,38.020971799224235,39.52065241075899,36.4135564759178,33.70042857754266,30.196560357179383,31.21674415938496,31.34324975104026,34.906375187400315,37.23270868474293,42.268055487020575,41.8256861803983,39.23351572465123,42.630178366272574,40.79776941187733,37.55965769412162,36.311902301057636,34.6725460560116,31.74224410405429,31.159932473589574,30.657565916211425,33.401157425653,31.893741803334873,34.755203765837656,36.24679077130502,35.730636676664,35.47936763659806,37.891861163091406,36.24219992802646,37.04889112295388,40.99056314012363,38.92319714646016,43.32573914570188,42.982390170310175,40.299448118059715,40.986885838434354,42.176262095964155,38.43828972672759,36.25735331364726,36.3394825554697,36.226911419454524,40.05231523223765,41.1866633158442,42.65523504974128,43.18893386869415,42.84066179533541,47.28447261550997,47.00322118416027,46.8867461291586,45.37367975046361,40.59970083127622,44.012826230464235,46.060661827774695,44.34672296056686,49.287400672887216,50.55127325513582,53.82948226667444,52.376060375945706,50.77571563574672,48.40776646947972,46.96171372520677,44.1683260456531,41.70169091049092,40.784303515299506,39.213697755350815,34.552837823600406,34.312651235643244,30.194373625762136,29.81084216244858,29.492900045732803,28.62279114179343,26.160880740655553,24.307788018752653,25.258571713770618,22.301750222473675,18.777063849907805,20.199098523307164,21.677189517708612,16.333551858633545,14.897207430517513,16.423321970260915,15.159455409387029,10.877779957435088,11.890290799751169,12.975050779078337,16.681763840661155,18.075226513240896,19.78874215599724,21.753045106696295,26.660191957232705,28.780793123889243,31.89091723150031,33.60320367702682,33.91958127773441,37.279336401862004,36.58568453869081,40.42583392039891,38.03443615086221,33.26640086697229,37.12511783360455,39.62089574646516,35.242324742260614,34.68443302175456,38.926304902262565,37.55401433257887,33.24050509604769,35.30334152510197,30.821237604596003,34.783345296607095,36.50191735602954,34.14347309661282,36.94146972957328,37.99312404776521,37.22105068461066,33.504681712241585,32.71757416779299,34.07628795831078,30.764123996406326,27.652525793088998,28.518897938384317,26.97758131732735,23.289671275512706,25.87582872915423,25.837607310356393,21.48806539324549,21.24308249653698,24.523492469924868,23.95570786582912,27.890965226474346,28.920688337454813,31.82593854681384,28.327952437294844,24.44649368340744,29.210206432797623,28.834540468484278,25.280542042166758,26.493578427246813,31.252825665591374,28.21645195773363,24.600199283734486,28.942146208329355,31.717000378327885,28.34735043716718,25.52090116676181,21.20641802645093,23.74161233999458,19.690636378186937,18.106712853017466,14.570509282929324,15.87866399798966,13.206739726758293,12.654867601646208,16.07911680849621,18.842258168009643,21.25661258635677,22.357793923952705,22.02919836858955,26.153369719445717,24.70607781015766,21.29970104339405,25.667532218664725,25.514014187277684,27.119007353725156,23.235537692654844,20.26125125566472,22.447961203402784,22.88297814227873,17.104298200888802,17.633912578905353,20.241121712643544,21.142172561156812,22.798293660330124,24.933090743918353],[5.292271248832438,6.241597260610458,10.6305697434578,11.06500221654597,16.70904974924321,15.771395621230326,19.770717830984854,22.564523095165804,23.059159724800583,26.391717064823226,28.887005008581365,30.066195391929586,31.37264727276961,30.600689721416394,35.098361723029235,36.30523196576822,35.66049833207105,40.234022909814925,42.969437068756136,45.008064029000955,48.41414374792973,51.65811779966869,52.84172912171918,51.76334787660589,48.860831734779694,45.07804808530436,42.69876745604161,38.86792930550749,39.52634674231971,38.36431851411971,42.022124695453414,40.11821355020992,43.28417220672938,47.53805442692094,45.39260890279442,44.360719135512134,42.43173199972073,43.755617462784095,43.22246993661185,48.433597951551754,45.894155712381846,47.9086260497874,52.03295555199784,51.23821459257686,53.9236089468121,53.295221903912605,57.30007579539044,55.10649401478502,50.672016853061535,55.09537573723428,57.44140234308082,57.365578945280284,58.118268845759204,53.97338491185806,57.764565284219316,59.909542947322336,55.93804309133932,56.228913925342624,60.99223586726933,59.88784767934115,57.839609569431175,58.56595982106391,56.36891839046486,58.66120644691513,56.502671704918484,52.370913789714194,50.33277993597664,46.98635988571843,44.86279280071078,42.21138193601578,41.91750732043079,44.25479410121101,45.57277913462429,49.23965692437731,47.84786076664941,53.95491344674187,52.5016532059125,54.65866705581522,53.41379137520064,54.700955570235294,51.62840591670043,50.94062447229764,47.717871615166025,47.82051618808357,45.48769832008767,44.808576784091926,47.557776990866785,47.6219523494735,48.5031819445557,50.868271415689414,49.08551237295378,52.22370454123913,48.411593847166195,45.72560479503245,41.10519576007261,41.259154761586444,37.08863882221257,38.567091715953026,35.32148012559189,34.96661890076552,37.929892796651984,35.37919271540843,38.57519728405419,35.31675797638868,38.24181367088866,33.18378711611978,34.0848581663936,32.76461795804594,28.218488459227455,28.719754315305526,24.74883342547917,27.388173572116155,25.032649534391652,27.170116643808925,29.20568397541812,30.015509600521995,33.859618576807286,34.90178916983837,39.97829846317674,37.79723246523037,35.217150603347044,31.89292404849572,29.504726940532045,26.760960657391962,23.628220263611254,24.77400749678257,21.261314889573587,25.084469487408956,26.354754786742998,31.237375870090073,29.65183077059551,33.30738952517371,35.4168543895469,36.52520795134914,33.613793065482035,30.702362796040678,27.665272021049272,28.461675158452245,28.60248087968812,31.974235340329443,34.62161423226623,39.57213871318719,38.815481293421,36.125423663232,39.36388366122048,37.29873122644407,34.09589763450954,32.59728200345483,30.900438805421665,27.80111508336077,27.171537349301442,26.50425672416574,29.28970369742464,27.76926968801021,30.568654312359794,32.07187863189349,31.596259119414608,31.43300156872553,33.89400743191215,32.44165440291361,33.52133381815262,37.38962496918232,35.67653259484151,40.01692921228236,40.030724358393115,37.69327515012716,38.46871389480357,40.00911181229631,36.37117205679167,33.97769623049737,33.837470715360126,33.40905259845919,36.997394443354075,37.88755712514256,39.13613164428512,39.50836888893027,39.006139084107474,43.47271175410231,43.379280621005904,43.32478068712691,42.06918585999872,37.20995560769973,40.925015676801124,43.163569431854555,41.421948444416685,46.23843938813752,47.402304831922436,50.7502575931747,49.61421794134616,48.151283904296506,45.920284137897106,44.48691478183341,41.8338226002474,39.356835348898876,38.505122360918904,37.16457078083448,32.44417915417657,32.17345802572439,28.183403141141902,27.277440845312118,27.35168664672303,25.99726436311419,23.381653830144923,22.23168542751404,23.186935117736276,19.679119878080268,16.66688988179251,18.569396894015487,19.57740539761289,13.85121158783385,13.284909648030364,15.080352170595999,12.862147698008162,8.869961021199284,11.514861565193154,12.668435590851118,16.615434679108738,18.599853403895544,19.449457238523564,21.530734381457314,26.521330551150115,29.06608701231422,31.850109170250263,32.96423052873291,32.9294360685399,36.02614024188193,34.848300811100316,38.94418490505582,36.983109458227446,31.869768650947336,35.47322756508031,38.43756470088988,34.22535316713862,33.24584195552252,37.4210656275226,36.650909154354665,32.331817527466185,33.7363015980252,29.182810801137304,32.53443391022327,34.38788082399119,32.011891851501396,34.48416802943295,35.598565188758,34.40182260692338,30.845803151167306,30.3294197660049,31.299307591009516,27.73962129557094,25.053097625149515,25.906428731373534,24.090038597549324,20.59523450139131,23.76583505450432,23.586286146407755,18.98769133666661,19.479681666021087,23.10266784876938,22.644009099019648,26.418050035837904,27.05203207601231,30.361086488954133,27.34232156745923,23.062270945558442,27.792604376270493,28.059475318944923,24.594489267573245,25.369005894327053,30.577117830523342,28.15018901457941,24.19272556774934,28.214843807143698,31.563827381263092,28.67697381112197,25.656196086823684,21.194326914807718,24.555434866888053,20.608727063117044,19.165064525314527,14.937599509076474,15.183370580799624,11.471283050057089,11.936036573319738,15.219849288603866,18.55107046629182,20.304099815973025,21.010340806743333,19.76093901491017,23.679037456826418,21.7476193271534,18.152407949249483,22.302232015037205,22.281058066030695,23.464431638107598,19.54914583672681,16.844333526625377,18.823310908780442,18.869445942025816,13.164664166059223,14.084340707819315,16.552187603014442,17.344036270977167,19.042921389661284,21.28547454084537],[7.707260101662709,8.35402874063395,12.42916909840107,11.219082048165133,17.295946817659203,16.328554180374102,19.979165788769873,23.139115338655383,23.021743758460843,25.965311802833238,28.40591496381792,30.026670395447155,31.148440956207867,29.8582800314191,34.517585860585015,35.96422509556299,35.096325121669395,39.55011051407404,41.99212165177015,44.33458915821684,47.548354058674335,50.94302568923891,51.89833797110194,50.71141045945033,48.02233689831746,44.14375725243233,42.045479417648664,38.238610485141784,39.08289363989902,38.21801143133618,41.609659434026305,40.17153247235788,43.35835147900266,47.47863406239403,45.38690842436028,44.125579468126034,42.540736505151564,43.54502817996056,43.04050999930314,48.46649271387845,45.663005937165046,47.40507664158164,51.64630587053924,50.96577903426299,53.50513435703566,52.90405864314059,56.99947560072746,54.92623693454718,50.5528935297541,55.07587237378024,57.51232451332126,57.63606654586611,58.2572334644341,54.23461973904163,58.046465693985354,59.92204187110088,55.82047985418964,56.20696730788148,60.93064546383704,59.63263107837575,57.41000271919046,58.13564762232047,55.9633049938865,57.98085880932298,55.845818099517494,51.83473974870456,49.45086500585944,46.22888513280057,43.77818734284067,41.19444954131375,40.6577650487854,42.81338017029081,44.43743728928095,48.13844774662042,47.07237415873708,53.27726668603895,52.00352332657203,54.352161835001525,53.22910055867233,54.58025267089624,51.76836214958739,51.144899953663334,48.20648666109275,48.33853703453204,45.73930955510286,45.0115351629654,47.50173831644102,47.80628805418435,48.278596981971845,50.77890235769733,48.72325154245456,51.72979246708295,47.94079652750832,45.42301511688064,40.75068707327702,40.786510527499324,36.54880655861741,38.53627009773734,35.48723395090324,35.610323660070065,38.43936737290951,36.37158673450094,39.301581095731414,36.41805819597564,39.393680570066394,34.41704030409938,35.68140367880889,34.290419101359284,29.793709024089438,30.22665206797852,26.02347885581562,28.123706436349277,25.41829651345022,27.15609965999987,28.776931316922227,29.31444544804831,33.084086377378306,33.854432580721465,38.82944049887405,36.83697312799287,34.04077293214702,30.8322525314786,28.292749671151572,25.856299337080145,23.06518594135594,24.572381371932362,21.830392118998226,25.681972565668865,27.343614579379945,32.29834601635387,30.752421319782975,34.67214449943858,36.415478317608546,37.61923256354265,34.30661513549433,31.14279645685653,28.084939638952488,28.368228716506742,28.04911566216449,31.479336927175872,33.63128261891174,38.64565415675966,37.972947410035616,35.50540384180758,38.95637634663297,37.006012698406884,33.795971193314266,32.572417682240335,31.245912807137167,28.15352959590913,28.082790670463318,27.300692392547333,30.550577861908085,28.96912397562275,31.390474834043495,32.93753850669663,32.15063243797754,32.30956008029328,34.36459786767864,33.23588104257816,33.95824646263997,37.526284757512116,35.56708681485571,40.045375330228815,40.08108310919798,37.42519734580547,38.58401629896493,39.94980472352487,36.46916596487495,33.8610585854818,34.010208493380816,33.43420398725493,37.28232413362352,38.33379636518097,39.6108461995469,40.22402073807232,39.465560709474154,44.20816401467951,43.90927633750805,44.107588691338805,42.640364615951476,38.09819280187908,41.87190510462388,44.03543637329776,42.035204695943946,46.67691428797167,47.5723776368819,50.981262951097904,49.75896050811143,48.285931631899345,46.128442496158186,44.81700381319817,42.33919678246035,40.04844295050229,39.43685449089434,38.31511604553935,33.532845018286494,33.65552625967228,29.83386552579383,29.055584301811567,29.55705372455124,28.29906878700126,25.374658556719126,24.400437711757615,25.774724376903123,22.183179965461687,18.785314673253886,21.199851424252063,22.55852598319227,16.623328769250946,16.1390463713136,18.252150400185116,16.03385253534134,11.94095695524162,14.604786984287003,15.400694518043677,19.716733477192204,20.978023853654626,22.136615263219838,24.486932481120625,29.411405687456195,32.00171197057983,34.750797258049715,35.98211080720099,35.81735092158039,38.89440482734178,37.5928647605374,41.60979356900595,39.661336537963315,34.39511830330716,37.90379955246962,40.79722034850716,36.47936907342274,35.36956951192642,39.432016945410716,38.557911502204526,34.170151813368335,35.32803262783426,31.086819367243628,34.490700010009164,36.59628017361242,34.51715030132038,37.00376745597896,38.365293116522096,36.941658311335075,33.31050641321257,33.15943009241243,34.06921137008152,30.284350047441094,27.828819351113367,28.86546449928098,26.966102847628346,23.526332102454397,26.922365082177233,26.757380228641885,22.098201661696443,22.75243840898763,26.415775909280725,25.883745816201454,29.5976654162738,30.05263408694787,33.36316241252332,30.442370097755166,25.981920972685256,30.572129470058318,30.864204307738316,27.34949831811202,27.81299913781962,33.094027069404206,30.590865200692086,26.384427544526023,30.272346855155174,33.70864305415642,30.676566506870614,27.45591540815337,22.843172310303117,25.955102136507858,21.69581131470052,20.897340096906976,16.437756805680184,17.23032601775963,13.49115415946731,13.051284208986521,16.3393724615509,19.555959144429405,21.371371760037754,22.68219593511375,21.146196558695088,25.184718873092606,22.827148980515286,19.839579509413866,24.223093128788495,24.61676121404717,25.494761581348307,21.280704613191894,19.188399270354488,21.16199569167413,20.426791122963735,14.97068904394062,16.598300383286464,18.74404195596985,19.21414871253955,20.833817837697044,22.975690381257856],[7.229830180286242,8.109699645148954,12.228953904288117,10.382111226333977,16.514764215243066,14.156017166130132,17.597313907966942,20.467305957805202,19.828870046678386,22.903125759855094,25.05528321973122,26.63111547799374,28.143524584336074,26.72716016040084,31.224935510087818,32.83206121595468,32.27747284744879,36.69602110817917,39.36648494839925,41.79534041857701,45.073492193476504,48.61936382676204,49.631639872928375,48.67006916694352,45.97396993670636,41.95242659866859,39.87563160540595,35.92545521194677,36.45853041093069,35.43645163249869,38.42129611706809,37.10079382945325,40.08980489402977,44.26343979354011,42.40021534915137,41.28528431646737,39.851485112431234,41.152976101921446,40.92499677993865,46.55392282087061,43.86174740709001,45.25169036510611,49.52320307615569,49.13520032663311,51.82854081896215,51.52182164338281,55.575086853584,53.268559302064496,49.12510254213424,53.87467492682074,56.07964583278336,56.146941087963405,56.5469242127534,52.408992999294696,56.034950507580504,57.88768717528816,53.72562876928367,53.86082649292731,58.59370204505967,57.50537095859583,55.07137755207344,55.5158880991796,53.16872097113803,55.24095789513932,53.3063331938766,49.235453456092706,46.723838896518515,43.338413687969826,40.8887727621749,38.06832703905622,37.62340120050908,39.679318420266824,41.201223535119645,45.07083900557996,43.92680609261167,50.08957148141299,49.05093384712501,51.271378047042965,50.35968789950548,51.945649224893735,49.20155208706721,48.89177222151877,45.955062020527365,46.405334487774006,43.886440791137204,42.80131178021739,45.10665670632054,45.1821385103182,45.52475720364156,47.73574395309028,45.57608159639875,48.407980666618876,44.541023531616446,41.97762942238261,37.34154906350514,37.18562905359511,32.98844555562518,35.11102072370431,32.13538084869342,32.31555058555573,35.39430667908528,33.68687734737677,36.73385530818594,34.252226348818304,37.70666200554444,32.86131724155419,34.51707272832485,33.51057541761479,29.069085773095402,28.951143128423613,24.65477264598071,26.459637672733642,23.28188587872638,25.22507044807881,26.350795884193484,27.21615857547808,30.80357554263458,31.909313105128014,36.556185676953405,34.22630618215025,31.470765366558254,28.17749064797382,26.095830068127796,23.654308823130382,20.801432259470122,23.02040511078568,20.35960138388482,24.49933005050676,26.49608431481638,31.327317151633487,30.467557610963187,34.42202985124347,36.123517020600524,36.8447606030818,33.70703804507049,30.2300223637054,27.82136176736568,27.583064212308678,27.028801585535774,30.172310560918426,32.43221308540208,37.324599596490835,36.2501692183628,33.80863888014496,37.12618300054523,34.87517007200227,31.745572449622063,30.25487600061159,29.05186874012008,25.637734942672456,25.731768376620945,24.4277458334383,27.84533720735377,25.89024512870553,28.117338946669097,29.921834251935014,29.19043243470972,29.751595789469974,31.730026370937967,31.17237197879258,32.21620909811249,35.477380179826056,33.97495539693296,38.39648068042968,38.96062508176566,36.63089491259045,38.06847902403863,39.76674273377414,36.50279204259796,33.58778562581507,33.59088267668817,32.54988030263766,36.15080737690499,36.91057925834372,37.84908561245937,38.28556229701547,37.14255316046212,42.014832581666234,41.96892553542242,42.36318472793891,41.22439624733323,36.70414764485677,40.89141520920877,43.26791337335691,41.16581620792529,45.54250049263035,46.18019690172354,49.69207497597462,48.859470454808296,47.570598532838375,45.625556643004785,44.3818176010742,42.15628880933009,39.93480091519609,39.472108122889075,38.66618520435671,33.86591183216635,34.026327369531224,30.4248550626992,29.100023082488914,30.038037887689317,28.25220373493255,25.22552352075816,25.071886533291444,26.368718763513417,22.29263830091396,19.62030742030705,22.34809837467877,23.0717434282838,17.10842759381543,17.45767553881164,19.505431214094294,16.47300600330206,13.14612017932735,16.648116533165012,17.66386821973922,21.775601486046735,23.677472437477068,24.229626324006905,26.49590973778459,31.440929129688385,34.22048581110743,36.78819034528303,37.52922403408106,37.15365799867967,39.97781933500683,38.27366816317167,42.52099903121245,40.97917559054744,35.49660482678328,38.73651967609106,42.046006334149624,37.92649818415676,36.459471845407755,40.41284404850404,40.09132864857706,35.744330979282225,36.27395634059005,32.047412710783995,34.7717124162291,36.993537780732204,34.88929658031461,36.963229325216005,38.290958328499535,36.42594881228359,33.09219282949283,33.142787044120794,33.52978965322648,29.587547578982825,27.690049641840197,28.51120196748368,26.274930518845657,23.26954449170767,27.091961429541406,26.593734693592488,21.776301018518506,23.265679686891655,27.09006138782205,26.844758434965964,30.402239867211136,30.5963372253686,34.25235395354737,31.732664954658183,27.122809045710245,31.648034574233197,32.46647465653878,29.087123292321213,29.266745864307268,34.82296230649853,32.80603881322509,28.449709145072855,32.04515876630649,35.87421715054288,33.21399117700581,29.908079259067662,25.26475824750176,28.853820331017868,24.698202690409193,23.976662563007785,19.240031108585807,19.318276681376222,14.96381285668063,15.274241682213125,18.29485260891122,21.81417597101607,23.064673120494998,24.07175056450813,21.644080818762166,25.352514384270627,22.369642809547567,19.374045570806366,23.294282765160116,23.833376409626354,23.98636568141241,19.896789262241853,18.32998279092036,19.692077169600644,18.288167743684,13.366627212441745,15.373478436358972,16.78498338392702,16.837654609138948,18.391544584558886,20.46062914922812],[11.978967254521995,13.299684163977195,17.3512389207075,14.771596643850312,20.861556413947675,18.076930245312557,20.93506565940128,23.726336830865385,22.10826067281476,24.783441217934215,26.4476073580652,28.384664827303183,30.143858053722578,27.992215537006714,32.392909759244816,34.45250594088958,33.95447909294549,38.09892591281059,40.51504345051136,43.40709711145619,46.431183555508696,50.25832174120164,50.98262082827718,50.018865266607136,47.65182899477612,43.452299820147,41.80222204383869,37.84929846318687,38.37451883374606,37.57825205391609,39.7925964599846,39.13013114008033,41.85294586024791,45.91509176145355,44.3882474890751,43.186517580635844,42.26967496583851,43.451441671068366,43.44409703696016,49.36499694576141,46.4707090684779,47.31353345723359,51.70498919124842,51.627506073436386,54.20315682841253,54.069424547581676,58.181979380499364,55.92342643635749,51.990526974945325,56.90805872628944,59.09810610203148,59.344920012440305,59.496971743305096,55.44894980754445,58.96185180664355,60.515083145229255,56.20251617506181,56.27189433831928,60.936455272176445,59.7788774266073,57.011172281066045,57.2366630835544,54.788017533695026,56.53993655669235,54.82015322967124,50.89519268449849,47.83385310063148,44.510876307044306,41.611600302383486,38.68384664933883,37.95595181018433,39.537495415437135,41.448077038832544,45.52686237945587,44.798031351852316,50.97769063008578,50.44152040784678,52.73958139605569,52.190799193440924,54.04284276581386,51.65067547928354,51.641464968864,48.994858300746884,49.67335375756706,46.97891843550724,45.64007787711966,47.52688400784749,47.66617281941857,47.46604034816329,49.51802091485463,46.96067797585238,49.38786140453295,45.48559214026828,43.0869175235497,38.51309932130975,37.915507945418724,33.78228552321875,36.63478768303742,33.993722371071826,34.54576191647746,37.85421676793479,36.84984805870538,39.81254210712361,37.91860461183221,41.67126962659621,36.998587384045585,39.00921847596839,38.12400511444587,33.76508641153153,33.41055855272395,29.02638407035025,30.32180322166477,26.696278199333754,28.33168280630017,28.662273252187333,29.378313285924477,32.65784259728165,33.56708876506738,37.76074783020006,35.499879051754306,32.50537378485258,29.402054551509682,27.497472451826862,25.591130348061835,23.262581641298148,26.182401245714935,24.342240420624595,28.498055060197927,30.84960022196524,35.622226491847776,34.978602854436666,39.07532504450203,40.506102461598516,41.16745213902586,37.804822671093824,34.07448891786151,31.840520051225656,31.000490680011143,29.873891405546548,32.909717662209246,34.518442249498634,39.36242964692926,38.23605880319966,36.14528259947045,39.60095835663353,37.3489429091417,34.31851315351681,32.98968397264174,32.24708635669563,28.69381559598255,29.302080686977124,27.480566539649445,31.158217641276853,28.629829640032977,30.501637424787333,32.70048106027084,31.894214353000308,33.04477374713676,34.644393644656624,34.76396701140669,35.69110999725595,38.450605197151454,36.95859881793076,41.43406133251411,42.236190423937835,39.69487379152733,41.602117644000735,43.16670963895668,40.13868153700477,36.987208776926025,37.26032020756311,35.967441359484056,39.69261247767186,40.476683627287336,41.26590474483386,41.79649315172395,40.20669208289305,45.331471713379024,45.28625434928188,45.993991708214615,44.8554899684222,40.64820365884011,45.004815962893424,47.37502815834711,45.04253807073062,49.130748824215026,49.39698978824219,52.98440372672502,52.2100060257778,50.979981223768156,49.183179922650496,48.08202031060188,46.09663543142183,44.071771543998096,43.8339818492799,43.23341616051428,38.417265054275965,38.83722663392077,35.35978129131737,34.05760178155888,35.18856483952326,33.36136279937035,30.259692492586446,30.23371776642236,31.5864964695552,27.468458074634196,24.779742739468084,27.54410870595023,28.192722914597397,22.29663948273451,22.571669915891633,24.4482599344537,21.371658062541798,18.126575985692956,21.254775431403104,22.436240441388012,26.37451054096639,28.281806208087605,29.160586219273473,31.347200205039908,36.33068442240452,38.900705295373626,41.668554833692816,42.55323210563292,42.295873697288805,45.1579465475914,43.47911558325298,47.73560745578945,46.16457801464944,40.700740135146845,43.935588848973374,47.20839225716434,43.04029358421771,41.573128079321066,45.48299099296677,45.06434914712196,40.68568794809701,41.15069998442312,37.09200127128305,39.80529682085875,42.11926741011692,40.07282625115537,42.066334468501026,43.35219815642681,41.371424156910415,38.15643407875067,38.20988105729943,38.4021755812387,34.476696129246896,32.749966238305824,33.35364803631783,30.971845650698906,28.19838056378483,31.957337362497,31.173429081378,26.307568949667985,28.01100957197269,31.75216040151125,31.73725285195592,35.38461829906617,35.71016944012433,39.38505897348679,36.75730209318706,32.27438728298931,36.84610809532599,37.57084880716317,34.15764197045086,34.41556022638147,39.92021372730535,37.72186914728181,33.39038086473852,37.03654017040017,40.7698673734042,37.902102392452946,34.57322456477535,29.889391914891945,33.101814038020024,28.735363238699225,28.233725692641784,23.62615683029833,24.205831241721672,20.008451902743396,19.77531273372789,22.86286215298268,26.187060229288562,27.618446249475284,28.998909016699464,26.509481926372885,30.22362590755075,26.94929258247045,24.30801759518663,28.11166289328904,28.74718496377652,28.508987521307336,24.527090971198486,23.25742401895769,24.20302807554369,22.43138233006106,18.036949413456334,19.947121729301493,20.674411411909485,20.310811025448125,21.635250457284116,23.392969423662358],[15.460341027166645,16.59497442671077,20.293749336184156,17.0217166482772,22.84604373365336,19.741786759028273,21.998919306442154,24.7366300190062,22.399053442166824,24.60298159448992,25.908389526070195,28.168024260915345,29.943058834097265,27.257662897659802,31.546387444862603,33.90245008163934,33.40036038572612,37.28470116427961,39.48405484769259,42.687195207679686,45.50221252562911,49.51296932317792,50.03176295913463,49.101494365452254,46.98034431119946,42.674262962525376,41.349557339574055,37.42853353264203,37.93908535177914,37.35249056115316,38.994342524576815,38.873337542529605,41.42534869318397,45.323758599592935,44.02066827033278,42.71633452833861,42.22476202371834,43.26119859816364,43.43189969926386,49.550317488299996,46.52526339514449,46.91381590021576,51.367311413021305,51.5524442897945,54.0422904120037,54.08558556776936,58.211751917282925,55.967221187742595,52.251625416891855,57.30734117441258,59.43837331161484,59.825910798275366,59.75290372092844,55.79629875391081,59.193292899177415,60.485889017866704,56.07128065904526,56.08980493612966,60.67466205367823,59.46758911545771,56.449215196606055,56.50944966812075,54.00768034224757,55.503161850916904,53.947357394568165,50.15524078938177,46.71087291322744,43.46516972213555,40.26672974613105,37.30723187798289,36.3812672271498,37.632486054278516,39.798538570230974,43.9722786557907,43.55657905642893,49.71789729740391,49.52727457874322,51.90097873354515,51.60729936606915,53.634399731070495,51.547599896592594,51.765413713407234,49.39937496524131,50.254581381797976,47.418679280857994,45.87761066392152,47.40487394205077,47.6287615044075,46.98330351457614,48.95347366867552,46.10536895792045,48.24544102233375,44.369726854734125,42.14953074116367,37.64577938375659,36.78979994574667,32.72632119632709,36.121291445450225,33.791559138469914,34.7761303272172,38.0459544561648,37.66152686100481,40.410015960316834,39.05007216371665,42.98759584088245,38.52161207538242,40.902953178738684,40.136633846237025,35.91126574783567,35.31371353418487,30.86474375127588,31.625436213280924,27.667256134291343,29.002457933230065,28.679664079684944,29.287586802622947,32.26231464554242,33.05905786533847,36.829113137871225,34.61837164206032,31.500958885796685,28.584708942324916,26.893826453696082,25.415875177808594,23.53855388111255,26.980225332706933,25.861031036610225,29.969346042499424,32.6434564961575,37.29668605184799,36.956070398525114,41.16618412616586,42.3117211706113,42.83854503386841,39.32158383282058,35.365575051582006,33.43881523107955,32.02990888536769,30.457223931621893,33.2963757345976,34.447360684453606,39.15925889937028,37.9279597560739,36.12047890174143,39.615758187438594,37.36377176953783,34.45581610282468,33.273074121130634,32.93490374797368,29.35574905222083,30.45785276562966,28.355356196090202,32.31740694153552,29.616146889889126,31.019215050196063,33.34366280814689,32.35094192093611,33.94148463072358,35.12905631249929,35.79308304844298,36.569438923962906,38.861068634234044,37.423965790104646,41.886485400330955,42.94268059469486,40.337108632988745,42.64261823228724,44.182576021525946,41.42369067747684,38.04474043479112,38.476035744947716,36.89975131345597,40.63525756660382,41.3990742965979,42.036419002102754,42.66317316746209,40.70692924929363,46.023569203227765,45.94100982021706,46.93243160381981,45.79978405134476,41.919416067613895,46.42649895036431,48.7987617877463,46.26026654077141,50.03516701437562,49.957509340491754,53.597735168349026,52.94491251875959,51.80141132149316,50.184351476098875,49.21902420976305,47.50395436245539,45.67556642685165,45.67130053959409,45.34825591667575,40.550470282444614,41.23013450333444,37.972713952519236,36.58734026601418,38.084269214996674,36.167253463503286,32.912751172717215,33.22098350757437,34.74933147263342,30.506247139314084,27.864575909104257,30.903053999823868,31.55047550064878,25.620258659532475,26.094580870547766,28.07793324915893,24.860252729533812,21.735008606351457,25.01401579630237,26.102225935361947,30.150899634313213,31.896896879753356,32.76575393234107,35.052615794203675,40.01350828137818,42.65031986327293,45.35905587299023,46.16459278086785,45.778242734791704,48.5475956659752,46.67971509797797,50.951320147093476,49.52020258324701,43.92292094337528,47.00577227517679,50.357626850913114,46.20714412773807,44.561760220899814,48.34701770597973,48.0471042555061,43.66604515949544,43.779799243111846,39.94821047158173,42.44795444024844,44.92859623368587,43.05977107116639,44.91057292298436,46.31579243903354,44.0669477433433,40.94332956798669,41.262972161844665,41.24651871377802,37.190417945280814,35.78577559363023,36.409013097373375,33.90914818451971,31.331482490261305,35.27691965225599,34.40840103916756,29.531171682664162,31.50206730436888,35.282412146368394,35.30993516124861,38.87608971826301,39.038527497012915,42.801484593659225,40.341892277581444,35.742214125626305,40.21075999846013,41.09400928675801,37.6984659064756,37.725137889871434,43.325291995253046,41.22870415101531,36.74430274702641,40.22094408180439,44.099904782426236,41.267446074280414,37.825997583958475,33.09288402738984,36.278442826251805,31.82569081805929,31.653593356328265,26.91954675480875,27.55921086447864,23.280586605081524,22.861771348686116,25.811096248865557,29.08332196231616,30.367761022146695,31.951066563037188,29.108881900843677,32.70392795307061,29.062398493159716,26.84841047453301,30.523577636589916,31.41634074427372,30.772683300755798,26.79625333479863,26.04822770069562,26.775024291544288,24.42508275945628,20.60423536161048,22.82725006825004,23.13380065186766,22.45112647445437,23.582495087122382,25.1267112308508],[18.583691996745916,19.637192279173178,23.038952790742968,19.416368210430637,24.83764123937237,21.24028005310202,22.90122449861947,25.361569414851232,22.358881237953593,24.167022626493914,24.987507538820218,27.416200353777434,29.357351873797846,26.251698657269344,30.26306207555859,32.89498683112731,32.55350831338984,36.15093087453517,38.25977341098473,41.70462196721428,44.35995093794711,48.54136821865921,48.92782979121917,48.1324574855911,46.21070630888646,41.8070953844905,40.752185565267865,36.847035700845765,37.19649514953486,36.703983641983065,37.683235646015355,38.038408589994326,40.326438688138666,44.08389728038057,43.07614946072161,41.78081854866594,41.681236872255404,42.73360456270007,43.152858304542036,49.43181559217814,46.392557409508115,46.29858849519387,50.76837628144618,51.26571357464539,53.740047731878505,54.03099372374081,58.118451767876905,55.80150669778647,52.362858711144305,57.566603284814,59.54809116871376,60.00458707954433,59.686662043016916,55.77091987046364,58.98411310607545,60.07519800142607,55.59339181195165,55.46463505525202,59.96481178597232,58.82333348647812,55.5509467553908,55.36147750406222,52.756394962439174,54.07475950023296,52.74618761525819,49.05512387935602,45.28928438427907,42.05611898107239,38.65534957794079,35.584946203432274,34.55396310790626,35.45857386088072,37.76492500683894,42.06510493126387,41.86553882332139,47.939677100913286,48.132994374123925,50.482970841614275,50.48487101186911,52.73426154919552,50.91719899205367,51.43591882989265,49.28917960397482,50.39425514115442,47.52371700035042,45.70564695912247,46.878223467876566,47.057111315807596,46.032257061723016,47.78416352764444,44.69094597956841,46.501475703122715,42.638719228610036,40.556928144491515,36.18326280888499,35.02364366878725,31.102353167963066,34.95021681571591,32.94060258304953,34.25344444876363,37.56634326450148,37.7945507536203,40.40377774495258,39.60308314647543,43.80029281447996,39.58404073212738,42.31127648572647,41.768128881873515,37.70203641518996,36.772981039680296,32.341928670728194,32.63836215884904,28.383133494694444,29.554085688843006,28.561511677558954,29.214886537243416,31.809386567186028,32.65351734565587,35.88555525435354,33.591402436858544,30.452900560445492,27.713262715335294,26.453018975351203,25.351306413682106,23.856986796416365,27.82555201006889,27.242860836052568,31.306198975946874,34.23819296153295,38.69289830828931,38.782186974329704,43.01965200433922,43.96603079449448,44.229583976712476,40.72446765087469,36.573799170446826,35.100176799741604,33.180641493633196,31.263372671667867,33.79555144654982,34.64825193464198,39.1376289024999,37.68030812084245,36.11858064611272,39.529842418714914,37.184986962716195,34.45253148869973,33.2849242871864,33.29290493339835,29.64932419146804,31.129728739338454,28.66606353582803,32.78357494412304,29.848883399121533,30.79579430641721,33.28887847556305,32.21683321738451,34.264556948536125,35.10657117795241,36.37796767878692,37.16875463143824,38.97461483688655,37.78747514912037,42.1508917060782,43.57769594226409,41.09032849497772,43.73280650435794,45.36356487379395,42.88379450178475,39.294526606336355,39.76671459632884,37.860771281670495,41.45314474644851,42.07895812906089,42.46992472967606,43.08043079964877,40.73748791536327,46.17261115301436,46.17303724901736,47.425828601384936,46.44245348311025,42.83289466931658,47.54252336506184,49.974022144923666,47.29003087004819,50.719370641961945,50.309377866434225,53.99389837852424,53.58050239630289,52.58458810383741,51.17870314068684,50.33606739677603,48.900970295130485,47.23557191647453,47.42739166574522,47.38315334129314,42.63202954522144,43.46834938087932,40.438061359778196,38.84610891800485,40.66795911967988,38.55441512761968,35.22925926992815,35.96174552198305,37.54150477066861,33.14285056498162,30.76763941991297,33.98934745379577,34.45005538455383,28.580636492003155,29.347068965271784,31.34320413035945,27.894255066638515,25.051076154498467,28.54968211010221,29.643600061833304,33.67789126859094,35.51207143475786,36.21360468425798,38.51833993099313,43.45962663668129,46.18808673945709,48.80408951411967,49.41428646932423,48.89589361701321,51.52371048419851,49.43021608962894,53.7664673564656,52.552090787074775,46.83719228559511,49.734562275076826,53.25207522723456,49.19218389469009,47.343257294309396,51.00394119202883,50.953548793156536,46.60271922511708,46.32123925455776,42.64669940235771,44.7869270586526,47.38113026254522,45.615791816903204,47.23278438276826,48.67954205066473,46.14482246964617,43.208855369103205,43.7379386243246,43.4253176166763,39.29295702973389,38.269479048089046,38.81962865790728,36.177904720539736,33.88857883432323,38.00695396208478,36.99311050683457,32.13380729013911,34.46169949657584,38.270611532849955,38.40855926257232,41.86281797108913,41.86059443946635,45.754366369860946,43.51850883565174,38.8421390575174,43.211450735608324,44.33262059656221,40.99865945300675,40.82604881996239,46.534896367987656,44.64262068349935,40.049939851450816,43.34100080815913,47.401897648738355,44.7069043214307,41.19034669111354,36.43824083656388,39.73905882520221,35.28251221356372,35.28143210679075,30.42659973624403,30.91218624773693,26.49189942048356,26.170888969534662,28.96352139722441,32.261525789504475,33.309965033177406,34.8925159891705,31.65231048229537,35.02726084592989,31.04990485230206,29.126541346082682,32.497578057678176,33.56234332495369,32.4517352653296,28.63089721638779,28.359297227568987,28.741065547385844,25.908032075580017,22.76947072989802,25.160863892577357,24.967935196308407,23.983272840633802,24.905770889265213,26.213147627826384],[22.14596332771021,22.828557423786133,25.790951620201877,21.526834268598506,26.556080391921622,23.28115398306631,24.337665134151322,26.961626672267514,23.53177924735592,24.556802440062366,25.20223985151274,28.100535198167563,29.5826960024293,25.937710813589483,29.905686285506953,32.73211831624143,32.08463977251683,35.324268243301255,36.93827160552202,40.694806760777965,43.00892761650351,47.29510249863454,47.37485738446074,46.48293119303978,44.891190225086646,40.47374211576586,39.83866151149376,36.1104191416826,36.672925520517246,36.60853151244194,37.19416099005437,38.183551807971,40.449291792675254,43.880420373472106,42.94341612082346,41.364084806564954,41.72518942237058,42.317083675204756,42.77309470394779,49.147489724101796,45.87376326027061,45.403407322790684,49.90897134912446,50.561271037525785,52.814928100607275,53.17035976534137,57.27885011649967,55.12656383747337,51.86159939608111,57.09899197772402,59.12545128669886,59.80818588113246,59.321737027508554,55.62420681871958,58.798497706319615,59.53357516284184,54.96974781111278,54.96118149613955,59.328129691092585,57.96578680145853,54.524558798384476,54.33457332976835,51.81818341282571,52.74417521487519,51.472958854169846,48.02037616231375,43.87599333315295,40.90506907704346,37.142595869808744,34.28097403228316,32.92043256508995,33.50272995682251,36.20434181469431,40.419764212787605,40.701797952210754,46.76184951506266,47.17827879652703,49.74964792076418,49.89515924301495,52.16564944743085,50.727774920249914,51.30795578668709,49.57339620068171,50.682333851698125,47.56214479840062,45.72784155632924,46.534161298962935,47.02766968894498,45.49458382207182,47.408010521208396,44.03276204774686,45.63724159577671,41.92812550494744,40.16901278436672,35.87701230076946,34.63966819064389,30.7980590844374,35.18629505425046,33.54960450841586,35.476162730242095,38.35978982930898,39.14771773655401,41.28799428218024,40.93642079387304,45.01733934316133,41.02552748661856,44.04923358334124,43.4399707798819,39.55253850827478,38.60132452233869,34.13179811006355,33.851295808314205,29.48347996011487,30.103538561855125,28.597023467367606,28.877024029063186,31.14779730846314,31.62254642256349,34.46700695743315,32.50571972918133,29.223224635992036,26.842877910027738,25.573905186605252,25.053673148043277,24.210059426240235,28.34979153143822,28.665734234672783,32.47703977600412,35.65557693374456,39.98367730627885,40.15194312195044,44.51330813837632,45.06176071569049,45.37867597794584,41.58394842491463,37.312022305378775,35.97639667247265,33.55243075223258,31.19539154165519,33.56501497787667,33.76707948572552,38.083361134516615,36.71399862262967,35.52471338873664,39.02894610279091,36.90051884817594,34.307342450125155,33.53646860282687,34.0106249000525,30.61287539287303,32.65845579394326,30.301816392498232,34.72929790249833,32.06452605947025,32.47276711585938,34.77282136856711,33.32106783149284,35.60454036832211,35.89785298900981,37.469233425590254,37.80761828688238,39.15866548611882,37.76404205275773,42.10607615946246,43.56774859714438,40.862049027883856,43.88115981865023,45.327940307104875,43.143897435934306,39.41272826764798,40.145463673529065,38.09012581855856,41.78699819987726,42.546429167055436,42.938904698605185,43.81398266675487,41.250477343029736,46.845006304208546,46.58684563126349,48.10661775845983,46.91251305125875,43.77675405027734,48.43010161669102,50.73246138624504,47.824993293951195,50.94183085959285,50.207080448481705,53.884662141498794,53.425674375896236,52.4712151721988,51.21339069134871,50.53568674349121,49.361656672155334,47.94571323013165,48.39755367682899,48.613538680884105,43.926761437150816,45.11596698152397,42.339126198276915,40.8696675825015,43.05593707220717,41.071366282903966,37.54982537568203,38.42677055416442,40.33666308681491,35.96047134702324,33.34433098131416,36.88811827229249,37.66665547188463,31.69756167815404,32.49015898468704,34.75734417174863,31.39894890700628,28.405826099990545,31.984070126376835,32.790143338715126,37.14342703004798,38.42762699101394,39.23500558702316,41.78095812331557,46.64372915737329,49.509291205998814,52.000291950393965,52.64556530401858,51.937723528765446,54.5044041048977,52.25669330852409,56.487811826775435,55.337632984697976,49.48215587962471,52.23094147253254,55.68703133234327,51.589671627115,49.59249085497308,53.08351890596201,53.01507250044165,48.67062672558496,48.074230744255075,44.75885794385873,46.850486316181915,49.654741351273685,48.214602549500654,49.829751181434695,51.5494169057219,48.81129760002552,45.81141896973485,46.73028021249855,46.41757818735262,42.10234837634578,41.27996123676625,42.08904923149494,39.467193020689585,37.166272483454435,41.45895675270958,40.59460862592363,35.758150453799665,38.07073881317033,41.93767733529539,41.906650896061784,45.26512741597416,45.03667056519129,48.91058274233436,46.82924157013822,41.953226263459094,46.143919199097475,47.33782290057301,43.99198290780594,43.497669971171774,49.256553733934126,47.40383580864324,42.60970954114156,45.687276205483606,49.85364676748547,47.154455914826165,43.499611166865826,38.722789865198834,41.89568978643611,37.364504968661166,37.83473712373896,32.8700227213701,33.54498865522813,29.19662921164386,28.484902690796325,31.07999598260396,34.20318628837877,35.142494139579675,37.0603474054971,33.63584489874928,36.9408842233447,32.743226046486996,31.43690539996749,34.88200489556489,36.29597775581346,35.0345897375564,31.063622903829728,31.292187704103,31.80868738772051,28.474702071259415,25.693738159765967,28.516986592519217,28.335281549196175,27.262349547326462,28.07633943206465,29.27873395091655],[22.87991358390819,23.464742731142422,26.047268555711383,21.86029605350538,26.276798710619197,22.191382436163877,22.688178709049758,24.709520227329264,20.780502151283645,21.659796588963726,21.740708597835788,24.51680325695315,26.404883559837117,22.68400636645533,26.212598422133293,29.191441864979247,28.999428086253445,32.082371137075285,34.01567640649933,37.75205689776084,40.15383174192119,44.53053713274994,44.752008927687385,44.194310116462496,42.54418213421715,38.05077037713417,37.38840296395184,33.57345877973977,33.68732239623196,33.40902313104668,33.435506799774956,34.56665941657359,36.52377794406912,39.94985785489719,39.30928507583144,37.96011771906276,38.48276508210566,39.45271348164908,40.232512087343714,46.6738171243163,43.64974022427386,42.825042275991684,47.26640286511642,48.2292619259545,50.67324688304701,51.360477945470684,55.33776970530158,52.906305448430665,49.93756437860948,55.32893471315765,57.043451326246995,57.60244567081564,56.90785320592638,53.09963055604143,56.01624977259472,56.77574829242134,52.22731401199462,51.90351245639755,56.24089274213955,55.186191611053445,51.57669840847413,51.051214004527964,48.34284406960596,49.39486306498316,48.375145734406175,44.85600689242261,40.6847205846785,37.510267545616344,33.87036551524346,30.70386590251777,29.53892975400371,30.003172903936637,32.46138349932685,36.867401131125014,36.972412323590895,42.90310093715106,43.57477330849475,45.929303802653415,46.30872887361812,48.82135210108891,47.44410795032979,48.37131504068404,46.63643955690759,48.077774648845796,45.152146964649965,42.951848321515556,43.55425838820191,43.73723745092368,42.11858103896657,43.63372751230294,40.203864795609846,41.589032315093,37.816642435882166,36.01675891127431,31.852672108098396,30.373303982548368,26.675296248520525,31.199053513501262,29.763142673088204,31.79487680158393,34.81593438988368,36.056343666974975,38.21235035505963,38.34271441150576,42.78079741593181,39.070446242029675,42.367203634884135,42.15039853068904,38.46217005447991,37.03891120783468,32.72339636293635,32.13981967134031,27.54840848236068,28.321280681636345,26.26690202065355,26.960076605206073,28.862759261692062,29.80934583358401,32.13189672152507,29.718394051525497,26.638953324551295,24.243244920554915,23.754394743325605,23.280182452096973,22.49612928008838,27.140066611959288,27.543918826114695,31.34777769738299,34.65502386364019,38.6640003446369,39.48139490422499,43.70570670221549,44.25096215624642,44.06921014458577,40.61919195597252,36.22105645387842,35.58576862189583,32.84108568039304,30.435337617450877,32.35423179633544,32.80059295948744,36.812893277996466,34.96172239473858,33.79304434598312,36.97684023837257,34.530322113240864,32.14204653163288,31.067430474775165,31.68025873950871,28.125140339312665,30.304705141487783,27.52062068863761,31.922117630569375,29.06039246752488,29.059332942540124,31.512545961324122,30.13571618297453,32.81760990435323,32.95082823082842,35.126224619600414,35.80670867195801,36.76911774551127,35.98805338889231,40.102568554264664,42.117551852189145,39.9218948372617,43.06077852777364,44.875988739986404,42.91137511843871,39.024284921157665,39.5097500092523,37.06743861837676,40.32879086988093,40.723205800327946,40.72545927357553,41.359979354213976,38.45200283698944,44.01978080093163,44.06573378978078,45.74038029751631,44.95857611452809,41.9009582624187,46.848548308712544,49.33059885848752,46.42739984035161,49.22867330071793,48.280705475574095,51.996203642698475,51.99909587295475,51.26334234579495,50.2352189475492,49.605801522900556,48.668689079048434,47.305356813161,47.8417515656252,48.31286769901535,43.72281084241913,44.85089415195498,42.31428625539642,40.403815868495265,42.8664584783385,40.50403955755451,37.04097046559636,38.53553281809413,40.31359849386988,35.73738381457107,33.76753618411919,37.3914732421423,37.707813093706804,31.97258831426281,33.26390523502292,35.45005615604334,31.732876815897054,29.31044912380826,33.283057242045416,34.172937952892674,38.367332151884504,40.0782294046393,40.38867476737764,42.85196983236681,47.66809563650619,50.70061146226781,52.981381962798835,53.18490400183164,52.28303761001036,54.588186190899435,52.018619216926545,56.38447230315118,55.61543217456463,49.65993566510309,52.13075226076269,55.91586277634883,52.05933159705484,49.79016377291962,53.14361643777716,53.59504821840952,49.35064318654479,48.24926072820878,44.9614005937874,46.406786899032056,49.2304608491762,47.7908349268796,49.009132579499564,50.67506581758091,47.60464482787733,44.94557346289281,46.03827123332203,45.29800786267768,40.97359944452992,40.66386678746207,41.31771522244955,38.541249896075705,36.67502591933023,41.15990536825564,40.12258868648012,35.38918743819854,38.19136796487129,42.076325106392844,42.20682690068772,45.338992926212285,44.868683239992954,48.935737464943415,47.244954273007664,42.323931640405235,46.361574394002616,47.97496260980139,44.791360432958655,44.082550216573836,49.98079248534126,48.576409981480765,43.72733165790565,46.5415385987196,50.99362024964843,48.66394446810209,44.990218958485265,40.248802914515984,43.859732375344336,39.487092081392355,39.86958204034106,34.733438969458014,34.82798694643527,30.21034972278543,30.085647916648277,32.46738595699156,35.787536720492206,36.28456709802887,37.81653162995762,33.856682035716844,36.747099078360776,32.25334453790138,31.015708746971658,33.86229901249657,35.35048300266953,33.52583650230315,29.922964017324162,30.636497508227393,30.65401280237614,26.910008599389066,25.026211672149987,27.91735612144359,27.163614936169914,25.796107426550954,26.384290780763465,27.347680335906436],[26.83219145183818,27.671968808942584,30.621286442282063,26.374443699010126,31.129641483013998,27.49984488511576,28.1460421214331,30.36904027541711,26.463967027846223,27.11259348610175,27.126832021823592,30.026096221384755,31.7528147224168,27.765924847410062,31.16991294519279,34.270967029418756,33.88564742112036,36.64993815208696,38.07999773799265,42.09426785834361,44.13019750035015,48.578587967749215,48.451988711768266,47.72941824712556,46.46001693581883,41.99995524589992,41.74819822419377,38.131946171248146,38.48089444159831,38.51553616510315,38.19742940509668,39.76728193086559,41.59895611296064,44.80397777046761,44.30865500675347,42.80294363801733,43.64160060147466,44.27555220197006,45.02527463226745,51.492561256650404,48.244166865052215,47.19266985674821,51.652493379401655,52.67938259992051,54.870143730992346,55.50465867420369,59.52949703922019,57.33345825678443,54.42548595506644,59.76917131516668,61.62063230364028,62.38040746476519,61.61775366050442,58.00008489677179,60.9219024918937,61.40572607010617,56.8083259514448,56.61151897575739,60.82005060488399,59.55421391202103,55.81773522678881,55.29429805446309,52.66389566604552,53.32228059870603,52.387459852804426,49.131274742859226,44.590333954528944,41.705436980104075,37.71446122137074,34.772277876502784,33.27017752764329,33.24414023735809,36.136693187782704,40.45603068824991,41.082295115682534,46.89192030463395,47.88371348836201,50.36756866002666,50.93603754895156,53.48552092529431,52.40423851468631,53.36135380949015,51.887059087456656,53.282210071170795,50.17882121837552,48.045194968495124,48.41777996724841,48.81916109826992,46.841678893072455,48.39756811297096,44.74510221297378,45.82264889046542,42.189851161640064,40.64878049765786,36.662572279369826,34.98163788563802,31.494827745559295,36.34194834580726,35.145651238439775,37.30272729139806,40.29907674803421,41.72515106228743,43.764232873402015,43.99190981558961,48.32733688379228,44.61093715887858,47.8838180956366,47.505995728873,43.76814633565349,42.53169754726958,38.1517660436314,37.54622493797284,33.008400805653444,33.51154255559306,31.380681695231655,31.703637590300904,33.46276342894251,33.946469899097444,36.02626632734245,34.048820331556456,30.84009517189944,28.807319743867353,28.0982352015758,28.039285518099806,27.607886489073913,32.0859919053594,32.774363024969546,36.50121338654892,39.81936074748177,43.931601915301506,44.45855923262554,48.79094910649435,49.19883130800849,49.27554747369791,45.55257826326786,41.17191176572334,40.222806350856395,37.42830059589937,34.8080417544018,36.836039875923795,36.672823383777015,40.64737813350596,39.0863842812481,38.22525162029464,41.57008564213401,39.386544570434374,37.05143809266741,36.29986573238999,37.098320029580094,33.6838296630568,35.96723256990699,33.240412049491965,37.62230304320306,34.626932943662496,34.645458764239336,37.17310491214254,35.77334999275208,38.49581527889038,38.48895366828534,40.67071960560123,41.07997497119734,41.913799189338526,40.82201389240267,44.98271780134052,46.802213802561226,44.22977454987864,47.54051113346314,49.02725417958547,47.11914587627653,43.256482097202515,44.03329617944114,41.72002759692263,45.2297601832485,45.8367076788473,45.963099401122655,46.778417746471526,43.837235870532496,49.46084517323509,49.337110408577026,51.10501451915079,50.10566880739576,47.24910315772972,52.05721337936011,54.40325108354386,51.39321968391054,54.13928752691454,53.064475286703626,56.748514171400494,56.5221703165382,55.74316406399314,54.700339350136225,54.15038140890735,53.24127348133883,51.98116582132139,52.59204573615574,53.019811082995176,48.39787267328134,49.674081193241,47.05015491384663,45.42359445107428,47.76530346050815,45.61185833977746,42.11218364233383,43.248901719529705,45.097450500819896,40.62785997549647,38.26268355761976,41.80877621079715,42.352297820932016,36.48771648133733,37.417536232997776,39.564008752385824,36.04143982645165,33.27001007597706,36.8653486140238,37.80554675958082,42.00902022360335,43.519366487289254,44.27137215318635,46.73440613892402,51.61195947892114,54.45828983314476,56.9683225282535,57.508460812904524,56.79864036695828,59.29114862619113,56.93671986448866,61.23716150129574,60.21921417763424,54.33523189016651,56.98442703369395,60.55660061686695,56.529847617623965,54.43555581779219,57.85396708182943,57.94350597947037,53.62652132205809,52.81893989187361,49.58621263212866,51.4202616750069,54.26013681781046,52.82782389896114,54.24444566490791,55.89845171044671,52.98729191275294,50.1966081706172,51.14840893849061,50.570441555742164,46.292910368676075,45.726301033927136,46.34563248800776,43.60399324483019,41.573628495813225,45.8840991599705,44.80835772999057,40.0004658325751,42.578312809285926,46.412097295207886,46.56426691659656,49.895608989203396,49.65987871372831,53.62598293215713,51.62381086663872,46.7965134841454,50.9802007433078,52.285452556856534,48.976946524527484,48.46915647131049,54.262299701817064,52.486057947010885,47.693792203208716,50.71668142892966,54.93856018615777,52.279213874589296,48.61809680546804,43.843100361653626,47.01281888102686,42.47125114298102,42.9587390283557,38.0105372712377,38.64611855401004,34.244662739556645,33.61261120620807,36.17494123351312,39.29139061403166,40.15298988279636,42.04723183339421,38.445887099855305,41.58965813236077,37.22229677722494,36.03170933104177,39.17683704732247,40.60707440394474,38.99389626682988,35.2756293403336,35.71313633393164,35.86831156940013,32.36885293334334,30.08187128654907,32.777762294339965,32.15724051994003,30.882963603952785,31.505956432962634,32.455924552601694],[23.097045034204783,24.378410315628788,27.875379042123658,24.26981957129228,29.57737434926723,25.77982966565685,27.154354568308136,29.33997903644861,25.918570947708147,27.428714429471174,27.737834962224397,30.19827252909482,32.379243814089676,28.922760651190302,32.530619008459595,35.43090198339135,35.280576136403255,38.512460788838865,40.436670894454586,44.14871753337219,46.56228367976033,50.905290434450855,51.085714978425194,50.3800129201766,48.74795958154868,44.28490213998286,43.57299241371818,39.74660740117553,39.97056269684309,39.581433489620075,39.81301110190624,40.662575142683494,42.59071453450857,46.19174156633585,45.55739777975653,44.308868724015525,44.60931345328597,45.67349059524132,46.31421837403562,52.70412049332111,49.63203250622133,49.07334958348049,53.54036572705121,54.326264878065196,56.724781831516395,57.205631822255164,61.26205733358543,58.944608970808375,55.755631464219825,61.04869846809619,62.93576777910594,63.48066948028864,62.949153124306555,59.103061954698134,62.14037345335539,63.01817180093107,58.48622557572944,58.227098347504416,62.61372812127407,61.5154193828316,57.98760475073725,57.53949332477905,54.83836312789987,55.91030462955256,54.848792491801376,51.32162499415248,47.17868912938482,44.0213092476837,40.37102406411677,37.22805612012474,36.037847891218945,36.418523181603675,38.944976149318876,43.36100361276811,43.483086502002216,49.38491653013142,50.07546496044177,52.371030053946285,52.733119231232855,55.22248396300729,53.69956142929001,54.51856560961774,52.57891797816306,53.90538133085947,51.014298012643465,48.96882000539283,49.793434131059584,49.91661159765899,48.508772442927764,49.97697123515305,46.626095264728676,47.98804963054454,44.16315442246444,42.248404297459025,38.105704445118555,36.53412123589483,32.8835100879929,37.16307420846733,35.50200787193986,36.969687365181535,40.461664044273476,41.19714432231034,43.77084069723533,43.41165463796362,47.82420356654341,43.7863719924511,46.6873434367071,46.29301046557943,42.305524584719876,41.19358557026764,36.807995212764354,36.878326175004695,32.46988851765947,33.521786873174015,32.02649203978361,32.6544656102192,34.87644811713029,35.64897203421803,38.3175410044508,36.057490041682605,32.908218572528,30.4445792120656,29.538134022081366,28.849880655413337,27.72366387890414,31.973984833524582,31.725585718560367,35.73973721327868,38.78642167444981,43.124790055093456,43.41162168260046,47.6569901894925,48.496017044004724,48.63993934439188,45.12756736573315,40.884517657737184,39.60845115980723,37.40297389968808,35.228346313269775,37.56394445951387,38.02694459825063,42.3118675976466,40.76568788592381,39.48713390267072,42.84400375950397,40.4818228021131,37.92441109237966,36.808343764728704,37.08590056573037,33.407799661134774,35.0795647927539,32.28364674766519,36.35518762162505,33.03691037396476,33.73084431098068,36.48880744399414,35.490041497024656,37.90980193473718,38.53352159592871,40.28792632118428,41.11231730262602,42.52933753635027,41.507458936986986,45.778467852729875,47.436024678196425,44.94894790201549,47.844775973103516,49.43606051732134,47.14429221661482,43.45273787029524,44.025343027721235,41.9559700218055,45.48677137363868,46.04264455011032,46.25875765342502,46.84420970393677,44.19844796031784,49.686704232893646,49.78146484749437,51.231090061182975,50.363109321405965,46.96011189725792,51.78078429029045,54.23169078165938,51.45093643370231,54.62647607801389,53.952891524127445,57.651701033243924,57.361860653398345,56.471030010912415,55.204786217973975,54.45849208401354,53.20617011459906,51.65989690041769,51.969411831820764,52.04876562538145,47.32019296204775,48.23625283184099,45.271858226464246,43.62616082486102,45.4999811370902,43.29896088453994,40.00119028670449,40.82389767955819,42.33813945880564,37.90175029068594,35.63926338824976,38.79861634963686,39.09883448204667,33.31274869135843,34.07144028380166,35.91114394403021,32.39759057010203,29.66782276355104,33.013023904869804,34.261467958442694,38.11193185224218,40.123220440136016,40.918576669016225,43.11460075812725,48.08669206369954,50.69478623556611,53.42481031589332,54.05921751744194,53.63326523375113,56.26613636707802,54.18093222478978,58.56316855188479,57.366464691959045,51.67889071051595,54.57014931798485,58.119131520105384,54.067592633867555,52.217449436735116,55.862880204708546,55.82163716091954,51.468652209037245,51.150126406905784,47.517824641867136,49.577972081186736,52.1813789995959,50.3834794749958,51.89841392694655,53.247134318397386,50.64827340062218,47.85557238054149,48.31560344464086,47.83109263624825,43.77325446407559,42.86294665479239,43.204843047155826,40.47381844420422,38.37439150398961,42.41634723132113,41.18904086525091,36.34460160250981,38.82253388210277,42.560411926955524,42.88640541983369,46.38648296849851,46.48724590267102,50.41881243983926,48.12859666807062,43.56537782585346,47.988898633387144,49.08735596063011,45.75210707248725,45.675841999821934,51.36166275911224,49.40350928028426,44.86541636867595,48.201990310617475,52.21300290784387,49.440494130586686,45.94440850371573,41.192966626221384,44.345888683341876,39.83366022889495,39.836104783604696,35.083519536257285,35.707192128143994,31.32646967469176,30.9236150155513,33.758291883418266,36.99227985836711,38.10983974980434,39.76414214306201,36.507708047679564,39.836992710054446,35.767731382614066,33.908306483446154,37.110727610704686,38.13782892365758,36.80479230331218,33.17810445676332,32.96403048154844,33.05769148904014,30.196577736063745,27.355740025496196,29.53364405377455,28.9823829354563,27.8341364960754,28.59405249694692,29.666637389766265],[23.825564620614543,24.934162381684605,28.395350394571295,24.51701422134724,29.95158727286507,26.83807807125554,28.283332868117405,30.911398665714636,27.657675272669366,28.92718006247869,29.551583722035392,32.296526838749365,33.98254515464286,30.392502088610158,34.29088751401974,37.14296080907948,36.56123555187418,39.77889087699432,41.32928858209711,45.1357680762979,47.38410214435582,51.68323939991458,51.679673799725585,50.72079235256401,49.22310680934311,44.82193416321357,44.25418851376351,40.5554241604685,41.150832753876614,41.06171593979427,41.57257031441486,42.54401261275141,44.713487965315565,48.19182395684284,47.342474935175744,45.81795428110227,46.16361779178003,46.79148261705397,47.220011963816276,53.57993730728927,50.2680247233782,49.83036875829517,54.342561593419234,54.96252388374809,57.15618123841832,57.434579744320345,61.57484838149087,59.50375810411668,56.18042516665111,61.36842511281218,63.47588562006093,64.18250427536586,63.738394197996556,60.05178976088695,63.25534481557656,63.991488126329024,59.42671670902678,59.435835559166534,63.79571079194293,62.40419047903683,58.949882427779905,58.74989510772717,56.224717440803744,57.086433881573655,55.85242716914061,52.44801163868061,48.22446987936074,45.2936342880825,41.46123226998533,38.6046168992607,37.18854386861987,37.591254370314765,40.387399065193016,44.628844367645485,45.01065242844198,51.014451594472575,51.559660225707354,54.097746944871666,54.31721166990781,56.62511636596284,55.18849261391172,55.772495021308316,53.98891249617464,55.07747454142554,51.96538912463149,50.172468402690285,51.01019482451309,51.473270934389575,49.95163137052503,51.78519528587537,48.38414661325481,49.86917578068291,46.14595217730928,44.374864332055324,40.146874837224324,38.76331956077086,35.008720987117535,39.3862908442803,37.72098044250792,39.404901567537756,42.5611961156394,43.2058832238047,45.545022404118406,45.03565875938015,49.13252041262718,45.012227780002334,47.85220044882066,47.1668473232658,43.14553139992925,42.34001985271351,37.85793419720461,37.87664518575086,33.59382939284661,34.325976035044555,32.99991462127985,33.23746483107764,35.56966405076358,35.92694702651134,38.79917717645142,36.940890805213414,33.632809694559285,31.299376383119643,29.919570574885398,29.39459515709692,28.467814498904907,32.42875826527337,32.47323896252194,36.35730257902711,39.40176204785873,43.86792376211623,43.77147782530599,48.13397145933728,48.808226921384914,49.29474367599002,45.46136885783139,41.275600550837936,39.625846980546264,37.45011666874352,35.17333881462001,37.70828217003825,37.810541722348745,42.198220601295674,40.99118233225226,39.823557467282555,43.39829438844669,41.3266447925977,38.69509501286345,37.924266336891506,38.287626209953,34.83262035375879,36.65411183168103,34.227998945558504,38.46831112750032,35.49787887919669,36.20049705966459,38.708957551125756,37.46399235481817,39.692111032169606,40.18496763144705,41.640071681940896,42.048321505067626,43.54510650368051,42.05200648380547,46.44403228186694,47.74868568602391,44.87610316938678,47.81118177927481,49.10001290335676,46.788444322435865,43.166991406387645,43.98025409324617,42.11124831838891,45.93601936533358,46.77602844343583,47.250854005081266,48.10297253782428,45.61608150965819,51.17646925202604,50.95299104549093,52.3974224963764,51.16889785482786,47.91133399576396,52.49801798788057,54.77144233256588,51.91102185147718,55.1673935236714,54.52022411984401,58.18298391062707,57.57744511437609,56.55394054612529,55.1978259952236,54.48367164461426,53.17877293278196,51.69947800477281,52.0542947845001,52.07590254471925,47.33699344995466,48.432268157747195,45.4400236312808,44.13557482446936,45.99292093307818,44.10852921679122,40.69417172344422,41.188646009028105,42.9420852265805,38.67002200341754,35.895813332897184,39.14308804897649,39.90956237534833,33.953904775877284,34.41004766521989,36.444089214570404,33.23810978530073,30.082338450076058,33.20963004404557,34.23202308750251,38.340489426654024,39.77353521865601,40.91599346088324,43.286104950326646,48.22509912998611,50.79643242357864,53.57408034569065,54.50165952223901,54.09093254975837,56.85008131124787,54.89605623803438,59.12274612716917,57.71766220058316,52.03946965809304,55.0245954227953,58.32252829655097,54.11439009843188,52.37166816665027,56.013948771173524,55.63844159114771,51.24326154137845,51.10159889123964,47.62560770597604,50.06538134794823,52.74423530919428,51.112628490690625,52.88514112021707,54.41614129244294,51.94040306057404,48.88902661034841,49.44434049605932,49.25839242849435,45.1139583945096,43.97093326594687,44.576570709303326,41.97990384677905,39.57944502486935,43.58540747275061,42.590344946980146,37.71522215506287,39.83445567882301,43.58501863926278,43.68633313355137,47.25775168722261,47.378368578344336,51.1580512905496,48.715822243202275,44.082723043234346,48.487151226656316,49.35633468062337,45.927530079968236,45.81789774071606,51.41945341108209,49.21562783003086,44.63092746993965,48.010890583890735,51.88151324171025,48.89709527385987,45.36324704695055,40.605723762464166,43.42356485016212,38.8129781247362,39.083614960741045,34.41405838795713,35.46586089545939,31.321208265463028,30.3947048860059,33.24119917189967,36.25433392390993,37.582796159885035,39.6010077836007,36.61604635984964,40.148015974289954,36.19933899408893,34.58110486988707,38.18374501463276,39.335220259388805,38.314574739508636,34.380498187904976,34.10867370056212,34.62362836280784,31.781060722536868,28.554665271132546,30.923075236025003,30.799571540803825,29.820504205633533,30.689741470223815,31.890269670742672],[18.767956614518436,20.24929918290932,24.209681451644446,21.120907179561772,27.02692462030323,24.00457496059655,26.240944722765427,28.893592534116443,26.374366459726588,28.464405081803076,29.52524203556428,31.819677492268514,33.74862885697388,30.822891897372248,34.959824412986556,37.49132375787135,37.04211409836288,40.7471667692718,42.77185846552613,46.17840827414826,48.82655698238981,52.941046806614416,53.2873152922456,52.32331283962952,50.405726982892354,46.06219498914714,44.967465589508905,41.099880791259984,41.62601030544,41.134197332769055,42.39891874573443,42.553753793206525,44.92592356932655,48.766287920994785,47.655726190895905,46.34775120968012,46.06694058669498,47.05645486020499,47.297077630982564,53.484761901416405,50.37306894288058,50.55537039789906,55.03701991949552,55.32752565218189,57.72450907569284,57.79378548246521,61.94426491638851,59.77363700745431,56.12519682952561,61.19665567043776,63.35999062141296,63.83007037512767,63.68427913335313,59.787965418373894,63.14365793856217,64.31027567950208,59.8524895878735,59.85809725355645,64.39219557580223,63.14173260408603,59.99297965356096,59.96012547108103,57.42476526904354,58.73959994839841,57.29932484550126,53.61409265341068,49.90917068416986,46.737950457842345,43.32373501964288,40.35051919626962,39.26799802985972,40.19185545080683,42.578477952803766,46.826949644656125,46.65926609881821,52.764106904013495,52.85670199704555,55.2385522774638,55.136226660633746,57.2805072509388,55.35078442318572,55.68694595480337,53.424185869393156,54.348136410557366,51.46054659346878,49.85670347734404,51.2231690778289,51.461757471424114,50.60077854014246,52.45765860178638,49.44357117076918,51.33457919751702,47.46400628488975,45.33140748113332,40.92924341529069,39.81620862535181,35.87614338255136,39.546278245590976,37.375466984388616,38.37618274543036,41.83225301731517,41.64225329628198,44.434537304033654,43.21471224544011,47.22957402497437,42.78443704586243,45.159946696369225,44.390332574989905,40.14470534446664,39.56828347526468,35.13039942831702,35.885756256456915,31.888424081736215,33.142698715709656,32.62037477438688,33.12562899521703,35.95586771087875,36.59012822341566,40.13223645146566,38.03715360220712,34.83852975907711,32.08721169903751,30.44722274503425,29.23538994459641,27.58178330039048,31.094060521733407,30.123725218010403,34.20888678500736,36.88595199547425,41.556460729208055,41.13078281728696,45.35893752921305,46.47859476827953,47.083393069837996,43.48821408759109,39.530431390803514,37.50040810029836,36.04337103305802,34.32950043952715,37.17741235146537,37.998992385305556,42.67679141031875,41.52490675564118,39.893448127985785,43.44834124768796,41.25309770478694,38.39732653556384,37.300724393053564,37.08485650507054,33.48565300308119,34.632923058846224,32.358753365348086,36.245058623544416,33.22390019235647,34.63240806845002,37.17400469247746,36.27269821561568,38.02487418760883,39.16072160004129,39.99624428006688,40.75274619676736,42.913774301134026,41.434109955174655,45.9055899743682,46.95422877400012,44.19467164333677,46.61008433252384,47.999454006923585,45.27408066373271,41.901302203475495,42.47225931212166,40.926314870122184,44.7476747217763,45.56278479713313,46.18933591897916,46.83847419518724,44.77457345782757,50.12962585134951,50.06149914576324,51.1227213128851,49.97273031400667,46.166225544822424,50.66355681026198,53.00246995774225,50.4207893244105,54.1470371553461,53.97836081837198,57.61946993488209,56.90851819666619,55.7568105420579,54.14650436469746,53.21944751588496,51.52583829238015,49.74050800762552,49.75803277569924,49.391848049921066,44.584452453139164,45.28981038350256,41.961406507177706,40.695834976554806,42.03946976296333,40.18771892297573,37.000183691429804,37.100141911844595,38.53740355995071,34.382166899664966,31.652534147496244,34.48298057997601,35.10332143371856,29.248672400860425,29.471088679396406,31.239724086214554,28.15128097182347,24.962791567981913,27.80442010111843,29.070230569590635,32.87542457288631,34.71043211305871,35.88374712600089,38.02019620590587,43.01443309883156,45.4001798102999,48.337639888688535,49.3658298523035,49.205792004675196,52.09944208901399,50.42999860820355,54.685487546680925,53.090578763740005,47.628885594236635,50.84565085571495,54.07565692813141,49.8548288428185,48.37382190460862,52.22206848727019,51.7035617456977,47.29975900341819,47.67153920102854,43.81497398894482,46.512841081339786,48.93650730024654,46.97801395971417,48.89498747643124,50.166955865516684,48.05515249389271,44.94965104377269,45.045321636505925,45.05280237412886,41.130802213111956,39.58306393448367,40.01519823484251,37.51121760433036,34.951227970618646,38.66335927599148,37.63985511211591,32.76764530337939,34.64339003213257,38.29816146652387,38.473198943558806,42.18479868059068,42.60821003951769,46.29831622400233,43.58501541261169,39.20003184741521,43.79672182812723,44.44012920453046,40.99584124427964,41.29213463060945,46.751697585520944,44.38423413970038,40.064339938124114,43.72995312330509,47.37525030268313,44.31198345088854,40.95954813713966,36.25909152689708,39.086158117860656,34.5575144857564,34.31278986127674,29.8560842498939,30.865735821412372,26.809292579743296,26.126791195745827,29.216427962693796,32.32637215652768,33.89547845148939,35.631284772406595,33.076901115927946,36.77940263090018,33.24315660012781,30.971010058883333,34.674017296021404,35.426893780762924,34.831820817917134,30.952830315032077,29.982444876691506,30.598218577693473,28.489129765290187,24.60177562892582,26.464563585101878,26.64238319355413,25.937303393322022,27.005648964775002,28.416285847346817],[18.96490445062455,19.481027880351462,22.602703202197567,18.418692157094746,23.96091129498679,21.81900651922052,23.57380500349922,26.853571334671106,24.303721746607753,25.6515112961423,27.111783044087833,29.986991282556342,30.95642884563332,27.75243682327822,32.2774932088474,34.72549832643389,33.59836149575167,37.218147459229456,38.72981109024621,42.225378361927916,44.65589483108697,48.69122319493996,48.836099173356395,47.60334916403824,45.82183790404356,41.566622129145735,40.659849334652066,36.98356446240616,37.999104711782536,38.004749899067235,39.62573917920041,40.075988194468835,42.83286458107379,46.379412693738615,44.926412100834824,43.15996298128517,43.045408667149644,43.33460959044043,43.330723409201866,49.48938393771199,46.06869600822658,46.308132963420256,50.82866879572905,50.96581458278907,53.109992471076076,53.00935368976436,57.229874560725335,55.32962261299128,51.611848986541446,56.59690098067196,58.964169153218556,59.667853265853594,59.55168307985604,55.90364153800784,59.424834799662186,60.32931601894772,55.82636278955693,56.181039409258645,60.64666896376604,59.01111451850989,55.946768059991285,56.24231957652847,53.9685100058538,55.00394707240013,53.32164542289151,49.80572925985081,46.03951474643726,43.1832963780847,39.582936254980424,37.03339216174273,35.68784066434236,36.770077094330546,39.426260639878535,43.37435210151408,43.5111538352145,49.75686429669529,49.57314021515118,52.32569921817019,51.995328446900906,53.86417472573994,52.130335004441534,52.1725152144857,50.26216840393652,50.89819667024799,47.667052278197424,46.351002862430086,47.621551684360085,48.39387224993348,47.27644093494302,49.70427203937786,46.614245651532,48.731129652656385,45.05639557335807,43.19341964843512,38.66887343788747,37.93223138895756,33.82967009764261,37.70649263231604,35.65736441912232,37.3210290884427,39.94566408644888,39.93178821818939,42.08261084821951,40.95395178119984,44.5009564520658,40.15465970252558,42.73156933646452,41.64552406254165,37.55576734329776,37.21776701054738,32.65729840212078,32.86452578992452,28.93482690462002,29.51229897294278,28.95350433406004,28.904115755189913,31.758487804287064,31.895569299227333,35.61465446342031,34.011943458825016,30.648742952143675,28.09919846937958,25.929326441816382,25.02047247387255,23.833041501241805,27.1296507994348,27.056453541527407,30.81680682938726,33.70127999081888,38.359286905905066,37.73406425622485,42.15843982111077,42.81134192876685,43.69643230075921,39.64148572942152,35.63606398616075,33.47063763525942,31.670107698312485,29.648318092176087,32.56773123975088,32.90239369929077,37.60761532995223,36.76182522387948,35.31856958537614,39.09214563511279,37.27416824875334,34.39780792872258,33.84454969729076,33.953500466511684,30.78696919244037,32.499515083435185,30.824760523302324,35.195964120236525,33.03415874538539,33.97394141521307,35.91720031832573,34.39257650222091,36.00345294018116,36.621298447273155,37.25207654435828,37.272983368388594,39.28320292145754,37.241060911628225,41.80423437151333,42.554647462223194,39.416901044888,42.05226923708272,43.17301177937094,40.620497233403,37.1846975119036,38.04919719367142,36.54039416056125,40.639226093644105,41.77476437098002,42.65502619998999,43.73842306261693,41.75758529028692,47.26073682311804,46.681839414254576,47.87663246017552,46.24440953787481,42.880329267670476,47.124180799607984,49.228897439304944,46.436906729226145,50.04257977455889,49.742553838471665,53.34509491338831,52.37065195381894,51.130203224737144,49.54337686301295,48.73281214633283,47.176196900218194,45.60933833813886,45.861970486368584,45.70895917177835,40.95344959585491,42.106768743847844,39.05692088081568,38.09093002029935,39.91432821046873,38.40421470514304,34.86876899888788,35.02646968638013,37.086505781686974,33.028323839318375,29.706758338410555,33.14272729934416,34.51566705274296,28.380503632500677,28.625504131207446,31.05738199890194,28.226134649175602,24.617254946954844,27.78201959473444,28.338981108884173,32.9356419759594,33.58871469578976,34.84341633585317,37.527142792349736,42.35489817785273,45.10627764241199,47.704933411511675,48.77637323748055,48.20600288301454,51.01042721653678,49.10521976775116,53.13311147470533,51.59355809515101,45.87646478908108,48.88927503372568,51.96524564797369,47.6516102064142,45.956373654233396,49.57647866950863,48.975489931428456,44.565040623998705,44.53653425137378,41.176249040803334,43.9610075078165,46.69857298427798,45.28558799256023,47.353975377672484,49.172381554730435,46.84417598759864,43.44378745105354,44.22169294847585,44.46253707428727,40.17004302166872,38.76772990816724,39.87411890028216,37.522540304377884,34.69465309616029,38.76689467568011,38.25645718999396,33.41603160260965,35.05980997605727,38.887921641905194,38.54556933560559,42.0466782794078,41.98863837609915,45.58871197982538,43.17556546890286,38.327271481480444,42.5774143647712,43.34316339090134,39.87040244681886,39.5351193238019,45.103745082968764,42.854126723735135,38.12922999615941,41.420973631346044,45.288145413979166,42.2846030585664,38.6703042251495,33.90613366921597,36.696965399777554,32.07990473682968,32.63037251613213,27.839458221398463,29.035210115852152,25.053644872029608,23.755622224242874,26.502452061258253,29.409284450636722,30.767392344402207,33.00320294173031,30.223808490151118,33.932113642343566,30.201229693177034,28.79892996670934,32.888197809497775,34.223997304299495,33.71082928005015,29.340857894882756,29.043466896458717,30.26221658648435,27.448747888135077,23.68825436260391,26.504553361975766,27.16944169703085,26.534754267543306,27.635237312515546,29.17619138267808],[19.543097779917765,20.61708840279948,24.379984677000692,21.096443502452974,27.074387430583098,25.377916967306803,27.78745366043816,31.07574463719875,29.023535600189703,30.831711738906122,32.42524603977426,35.02197261139943,36.204537924867196,33.2763669734844,37.82494499625435,40.17763602238285,39.1076413683356,42.85972872279883,44.41905440120776,47.81967354127956,50.29912620351632,54.25510334738721,54.417582566273985,53.06931950238417,51.25093058664109,47.06672732021827,46.05777381417511,42.39360421520624,43.47021224152442,43.35262182198607,45.21047000669868,45.366497106579864,48.13841848151822,51.83959241394787,50.33785073054496,48.662338720083774,48.30515684153212,48.686359777315126,48.54025227358134,54.573954169451575,51.16284325005637,51.707031572202574,56.21134150792566,56.143866571575344,58.254498328343416,57.94027088648605,62.194348674505385,60.40401878349481,56.478708325237946,61.30823838076467,63.829054908060535,64.49153355714152,64.57068900142764,60.898144069517386,64.53748532808174,65.5849810496597,61.13391410014077,61.564670051562196,66.07507848601925,64.40495187603115,61.47943981128057,61.885622133973136,59.63890053819458,60.74589136983919,58.98600350353112,55.43767089704772,51.78465341791669,48.921386758963415,45.38116010124992,42.83471744771165,41.52064344185306,42.613504420999504,45.258981180666254,49.21294170284686,49.287836137451514,55.53606919324913,55.27870720714976,57.982866241339636,57.572903436260546,59.37408022609037,57.46792389249272,57.364636492221614,55.25405247229671,55.744543447897904,52.58215770065837,51.44657514266723,52.953991442277996,53.67273408692053,52.80433032871344,55.22740758467783,52.25273719515762,54.42756321700659,50.6989247344414,48.71475601008564,44.17561475068474,43.41907532497053,39.31713732128675,42.95427105836389,40.70381278405573,41.91400966541891,44.84539400500788,44.355064042023656,46.81861319738988,45.22783503688206,48.652769639823475,44.06288453684714,46.20730533367848,44.937997792450695,40.65575015806066,40.65800561357698,36.15254065416736,36.956353288671735,33.319903063522936,34.141076997223756,34.092075244638224,34.04100843864981,37.11469893563058,37.17010617315093,41.1590547812911,39.64011991080426,36.288570132168196,33.67993763007149,31.292417035483744,30.182237847132125,28.71254250031544,31.53822256345707,30.84324209870876,34.645815692180385,37.17721924187553,42.027035075415185,40.88113365832882,45.21916132797043,46.14892074649375,47.35064528173789,43.32177495086495,39.57874509589642,36.85528052653044,35.67219138266006,33.98534180859824,37.189802880279004,37.62832281530014,42.48187337405062,41.89917833929176,40.33480720342679,44.17503319893853,42.4377951901188,39.45330251019904,38.843334423507116,38.63672865986636,35.43878530422297,36.674349406251814,35.078127621651554,39.108334890745304,36.71554010382815,38.200843036623446,40.301539372927984,39.07739709777677,40.40561302217105,41.436445811651396,41.64616570488059,41.789050817188354,44.20641980887258,41.994907400251215,46.61976182473658,47.01504084318185,43.69491832254553,45.996332430746826,46.899059211163056,44.05179650077594,40.91300970650319,41.808415973160216,40.707676992281414,44.95566664626015,46.21864496263083,47.29644195076856,48.324716164038925,46.63792845028852,52.0056806514347,51.45726888223336,52.40844929826271,50.699620844166276,47.045773327032585,51.08179587327254,53.11865771166839,50.501624748274644,54.44385581715449,54.446829993035536,57.99170950945525,56.73903459539575,55.357808829784226,53.53990364830598,52.616873283601436,50.7465140967705,49.00903005503024,49.016211289396885,48.459602376028826,43.66959717377082,44.5834178380787,41.17753553990283,40.53572097441915,41.730578602804,40.4737402822366,37.180450303884214,36.6230913392993,38.41077910550888,34.655236776064804,31.071017385700895,33.929938544080585,35.373740979220976,29.375480445901047,28.997671513770502,31.061665772253342,28.659279835126632,24.77515336541052,27.079936475927024,27.88976037155442,32.07963605972192,32.82592536944553,34.62047686835005,37.023939774370184,41.88617622924074,44.187600210718394,47.17500518096127,48.71813109967161,48.60699678535432,51.708839217329384,50.324197241092094,54.26915557401653,52.29679061070332,46.936715318287526,50.32090346047659,53.07273672647727,48.61364177193465,47.38231561732274,51.22625617167399,50.1056499297228,45.66590558279924,46.45131672472325,42.83143585089949,46.209083173055404,48.68683336285065,46.98657863900981,49.35466259016279,50.89364131180853,49.075179556647875,45.5511076207977,45.751282458924976,46.31287192193859,42.32714053035768,40.34352182513044,41.22672170480834,39.02607303061774,35.96348653149964,39.50738061107278,38.938565267235035,34.13162142594711,35.27844554157773,38.877187917203614,38.62748582199196,42.410663909202675,42.88530228564214,46.23981998431966,43.26837058729089,38.84499481888615,43.35834472763534,43.55643224389296,39.98750168080284,40.27423060327384,45.49589701691769,42.69444676593648,38.37930787508668,42.12854892481555,45.45125940274822,42.02786971566579,38.67138080393676,34.02655676344516,36.222310466833115,31.576254695183803,31.73005211966906,27.532607555539098,29.317151106345932,25.831285655604944,24.22195916867273,27.309085983885033,29.967153731802636,31.954588407093844,34.253980593186554,32.3360414514506,36.35647092838998,33.19843553885028,31.27809537814379,35.603514377693486,36.49643177845391,36.52003225593068,32.22029807307189,31.079672712226003,32.43799029247222,30.51217966066877,26.02451264389947,28.10282774254166,29.072756727037948,28.72315110655441,29.958940053845936,31.574675636894543],[19.68831816408529,21.164578020685596,25.286380191647268,22.728691225162155,28.864133793157485,27.227283153709358,30.015162373662807,33.17487682492305,31.425308513494357,33.596885384016396,35.222746872940476,37.55809998623232,38.99097106390034,36.30431633987172,40.81544932869917,43.09673001623134,42.18040669392933,46.05370916716934,47.78639051347175,51.075522025949304,53.66801946111669,57.57944672863265,57.838610007918014,56.50220277333834,54.58286294177599,50.42043920280359,49.26461774207155,45.55187578743585,46.550173090634445,46.246327349665904,48.23182302824125,48.116613439183894,50.85239780918766,54.70204885385909,53.20455789522626,51.67447829509983,51.11120102735358,51.69923059488279,51.51949404991652,57.475699746059554,54.162102971388634,54.89550488276336,59.37588024423381,59.213945168682564,61.388991102061134,60.99954105725483,65.24802238973376,63.43188918329597,59.40086119313159,64.16443508123608,66.70557556306372,67.27080144856902,67.46163400799944,63.708301334180995,67.37990674810997,68.59298175935524,64.19011061034904,64.58362224846545,69.1455296351559,67.55679900877448,64.71598972874956,65.12687496259815,62.8433641783196,64.0940360106841,62.320570957897274,58.69015078444205,55.16909884106611,52.214387821752105,48.792182550312084,46.158839454739365,44.95060427981799,46.093728999425146,48.62759155867236,52.63367685682306,52.55290731198622,58.787455000386075,58.48393969034269,61.08014848915182,60.63272047626042,62.43090424380828,60.355580642677175,60.2142050171751,57.900424601248105,58.36223287098015,55.32815932781984,54.23724466794216,55.922671177890585,56.49408614016889,55.8597302747158,58.18225503271262,55.3241927370245,57.53870985004269,53.74169518420678,51.62099834874095,47.082087478871784,46.29891122659228,42.210136903140935,45.616943222189676,43.21309023832374,44.051131213288976,47.25322720306352,46.438501658332754,49.17729177086664,47.30196745373929,50.73147739155785,46.007640160301186,47.87036345363956,46.581056667252525,42.193290954976675,42.319002873078695,37.899714153823254,39.117647232730704,35.64421705396191,36.73254444203667,36.97576570187602,37.05911387761939,40.260446584216986,40.42044077006745,44.5540764299027,42.94078969338041,39.64395940250917,36.927912900462445,34.53760989077259,33.219218956650224,31.48873292156574,34.111564540481275,32.906542512785656,36.77252232230692,39.062685156147566,43.98124166488673,42.63569179297181,46.85463902831969,48.039341942067566,49.31912319674766,45.44286275270317,41.86037462951268,38.9259998919647,38.14130009050059,36.72147287906025,40.034561337482046,40.70726237586086,45.63078246075365,45.08539784930485,43.38066778284795,47.18835472905319,45.39671328414692,42.35595546960751,41.58654216453098,41.13184885277906,37.850343322035116,38.71734420259915,37.09231681930858,40.83442970891799,38.24147073793697,40.090442510050316,42.32868963456758,41.369094858535775,42.53899619360267,43.891520662016916,43.89089699754992,44.255202182600584,46.93180868128053,44.77232555784954,49.39770700838517,49.68344361380774,46.402384456749544,48.45386366902771,49.34429976404947,46.30732775819299,43.34243220182205,44.14814639697179,43.23873192710589,47.46616640207861,48.706920861301604,49.82892698097472,50.72629695623216,49.201472186550355,54.445981117768554,54.02293736933722,54.800090608590814,53.16724115237977,49.25841176957212,53.232450653405266,55.289788056466115,52.8293995799527,56.97669280898952,57.187858303839384,60.706949574801165,59.394421356000514,57.95890198862396,56.01972601094919,55.00394402990307,52.93821135439816,51.05506841603528,50.872349523031765,50.06466919348438,45.27034358602757,45.93976316753707,42.31612332108911,41.75679278251546,42.52473003775249,41.32533407984407,38.2569280018107,37.34800200764695,38.84320503448769,35.25834646819028,31.727445642645716,34.12992592858284,35.431245782704856,29.647369897067982,28.965361258342167,30.671830654301644,28.483936804656143,24.626350416047398,26.377230252756036,27.455579815587207,31.193796159488407,32.26117633558831,34.26009481948621,36.370378722557234,41.24136324229048,43.22466257589223,46.45418204453676,48.202208314248,48.405776955623026,51.65300396683279,50.584176685541685,54.51785931017688,52.334835395191014,47.24014534221211,50.830190229580786,53.451763301467516,48.97476486157123,48.02333738823843,52.01030149769002,50.68094842431366,46.25863693979028,47.522011315848594,43.67014641680058,47.28259096462582,49.54293744618439,47.58679969413099,50.057894327962565,51.33611026236609,49.833398303236265,46.325774437251766,46.09584344138726,46.77862707567475,43.04884646480239,40.75498618201436,41.39649173199778,39.27388014794978,36.16449540907154,39.33206598324291,38.65685831530536,33.922598779012645,34.82653314006228,38.23408797698684,38.12756500349994,42.05747690291051,42.89096905671513,46.11428340076908,42.826695447792225,38.752295483364755,43.42932978155225,43.324612653702495,39.748511990188554,40.48049103578475,45.469426543842594,42.406901405545774,38.42741035097833,42.450769499681265,45.44141739515373,41.844537488371685,38.710535093256695,34.19178219998781,36.123048339694954,31.55972654144291,31.284393051539165,27.519077904164707,29.475346575456214,26.268402712531596,24.72541680515855,27.988435754960793,30.556761808394295,32.842866376939625,34.991518473001236,33.545296086858635,37.66388504494466,34.8550634434932,32.51136598409426,36.82522760968854,37.37489520393651,37.665552044877955,33.53140502561156,31.859476735281532,33.17680785875889,31.852211224421534,27.04418331457107,28.55537363711088,29.610684263194106,29.417299561632746,30.70831324042407,32.33166646190739],[16.3522185042379,17.988383795880786,22.268411533671436,19.959508500959846,26.159074152812263,24.09833492994916,27.025570823501,29.98252508839706,28.353398043866427,30.823226382470356,32.44081907295748,34.539036207991515,36.20803436304888,33.77838199102614,38.219786854715096,40.412829434382786,39.72648729909028,43.73433694908183,45.79351609202794,48.91118336662873,51.70812083354658,55.58981367918486,56.06052526710858,54.88504296480862,52.76101198931939,48.57496248150358,47.18838898953851,43.357745916276215,44.13315423902106,43.57463506488356,45.64697988173118,45.251466661901446,47.94635062979092,51.92790445013094,50.44500462368231,49.10062589275234,48.34967995708094,49.251991623425745,49.14546184392817,55.07711454794989,51.961575639656424,52.774351000341866,57.217586035340254,57.07746254009086,59.43939647077724,59.142813517684154,63.3378802149703,61.325377474924665,57.30960984189769,62.127811959063365,64.52704147133362,64.93114274793105,65.13054963039608,61.228067166133,64.83606266835626,66.2354452789931,61.878293088017344,62.1166496916024,66.73561234841107,65.35646011527831,62.55481474030996,62.873338794021876,60.49906523652911,61.99263397135216,60.252189065419536,56.47634429879829,53.15704967037456,50.01865675601004,46.82337161153169,44.02840605966795,43.03478925493791,44.342014563409286,46.60873132645238,50.680774547521,50.30372325146016,56.51085802107843,56.129267770589365,58.564515219594306,58.08673242612729,59.92481613260202,57.67751907793643,57.597844623372694,55.088258088476294,55.644679952642875,52.7898491549083,51.59650440078361,53.40421894881478,53.743745838036595,53.34190257469858,55.50120363821621,52.78574327441846,55.073696532512024,51.20621896344748,48.93220607076846,44.38792992248376,43.6397955147442,39.546573468391806,42.68861820256639,40.15780815893687,40.75823360045018,44.11857225827118,43.14728962353533,46.07499736489437,44.120734502311954,47.69991203900385,42.958010073601784,44.79071425696099,43.66840190713674,39.25366074915667,39.219181162132344,34.844996431302164,36.227246280507664,32.73523864720295,34.12106907286365,34.46093703809632,34.834310926087305,38.096008700380224,38.58421645910429,42.77011584554055,40.86111442020319,37.687622194853994,34.78891840063296,32.598307385035305,31.005553144657934,28.979823513763357,31.680994933760292,30.077435516861325,34.08407274522242,36.32581159565363,41.21086449844964,40.08735312380525,44.2226796881631,45.59419754001276,46.64343889902113,43.022801092998144,39.42240373221613,36.69942515994386,36.00569826309732,34.7668923503696,38.00744391061612,39.10895377693811,44.03283703619836,43.25617181476641,41.36217589036342,45.025028637929154,43.02385067110281,39.97284475612383,38.92913390403909,38.293745082649345,34.869244134535045,35.518999273630605,33.77951179497698,37.386891506603,34.70752540336935,36.68592542941093,38.983134445530006,38.1868546737142,39.320899617492984,40.87177404124461,40.87982977404735,41.549841595689095,44.32619109101127,42.45988267055672,47.02824603316316,47.502772269380955,44.527256247901136,46.45810299148443,47.621383506992764,44.52568104030673,41.525995357616594,42.094512794988056,41.08148468423164,45.10569173947196,46.15142599536046,47.143376367005146,47.845009050783645,46.32815939725499,51.48738428597342,51.270006959686526,51.97171387460621,50.57448270500501,46.463980586125125,50.58386410863828,52.780936465137565,50.41826653831968,54.60148728822463,54.89052784349545,58.435047667490714,57.33470108330498,55.96641830299282,54.049054445260445,52.97509496463508,50.88009693173049,48.89045477212199,48.6253326379535,47.82010772155123,43.00421594475192,43.49074493077451,39.84220171409703,39.005653022437315,39.766612230935195,38.32344866746351,35.32285569066166,34.63994276217667,35.96429559460184,32.21563136970655,29.035750222923735,31.414519877282206,32.38521131735296,26.6206966579688,26.19216246661947,27.82095531646238,25.337280527826096,21.70686056695398,23.794310663924556,25.057348124901328,28.71779643144235,30.30189215481372,31.931252602463463,33.96186252602215,38.91595867682902,41.02847108933113,44.177953381173836,45.64457666360383,45.78375612066757,48.93413168028704,47.72875634278495,51.80595169061291,49.797795505942176,44.63814359973143,48.166286874643255,51.020923000399655,46.65699512472175,45.59161584410185,49.608814174328636,48.582578554046684,44.17127579229773,45.278561846860065,41.247014756670936,44.579075822351385,46.784900468758224,44.68693111672808,46.995931188448864,48.169694179470355,46.58504319992289,43.21110426932873,42.92394315052269,43.438693900702454,39.730863984929684,37.550841952923776,38.06352049560029,35.85340236496122,32.869602662529125,36.12984691361248,35.34314307738171,30.56432543076021,31.71503472753924,35.19545478599714,35.20336160479184,39.096460176341346,39.873512223765104,43.246869165003645,40.09533819018066,35.98087966252453,40.701604248875924,40.82474081590507,37.29838330070963,38.01675901195699,43.151270002207674,40.33701061823564,36.320923986937295,40.31331642412027,43.50196071997402,40.12864808527528,36.97967437251199,32.40673228966058,34.7894504482028,30.2965469991398,29.756643421299103,25.7618168359472,27.246740967070036,23.721459823745864,22.69982315210444,26.001037083620176,28.86702604588704,30.93625614149477,32.73480919766419,31.035056894919038,35.04016780352801,32.15902564828252,29.54187808336789,33.647062676304365,34.09654177411867,34.26444143873878,30.264239143964957,28.54434210498036,29.678507704480076,28.411218032989527,23.65610658532173,25.07420698659096,26.006701379043708,25.790270579902675,27.10043109444829,28.754155063826392],[18.32678103869815,20.62876297694761,25.220480728372014,23.448274149583916,29.571244929525527,26.416875995415772,29.290654512011994,31.56092260720033,29.592056003939796,32.39308431001008,33.445746816345974,35.147784573724195,37.640734897333516,35.233820359109934,39.20177175295255,41.57775811658499,41.520302316593806,45.435464453148306,47.87070175875305,51.031131836411895,53.93006012533582,57.96787609527746,58.55012084885871,57.6887698045942,55.5450935266538,51.224557882295336,49.82190144365937,45.83817068785383,46.11693032521711,45.203571834314445,46.63363352024076,46.24029359551852,48.4668427267679,52.59581100997248,51.55591681744818,50.60255606835657,49.92957419088725,51.4246101220508,51.670856201042206,57.722615475008844,54.86918884708631,55.34567616730045,59.763451510150496,59.94444870148887,62.52769778228725,62.5440893536926,66.65295761271604,64.34302302321868,60.565620189542294,65.56724411866259,67.67877003704203,67.91575940456256,67.92994087786657,63.8341180921063,67.17955940955665,68.6878295692615,64.33214463978231,64.17787601430751,68.80440015999058,67.80609865144069,64.78817071480601,64.6831468711733,62.03265885863297,63.67917780989333,62.26683140694044,58.39950831979786,54.97778636036158,51.584449468864115,48.46104998012132,45.27709274609933,44.459037735850636,45.48919968684927,47.57453700445129,51.93111140607091,51.39520306230517,57.41725360219902,57.45437565440195,59.5546609221517,59.422323634204794,61.6100371089294,59.34941941297962,59.69557512107442,57.02127620761892,57.979493221244674,55.401625802907745,53.791144229597904,55.46836385923374,55.32902307286494,54.93662821230462,56.493995619748404,53.73080728346054,55.6620521364833,51.659749649501045,49.24325474757712,44.8946969905526,43.7111000203257,39.85551472310381,43.00906249383936,40.56288438376875,40.78818743131595,44.82166613989927,44.06168156777994,47.419991079859955,45.74649073553399,49.880415774853994,45.24284826801522,47.15477517205973,46.480972457886566,42.072213371442146,41.57316026034263,37.33003801661953,38.82044074243298,35.07947340322595,36.89758267514301,36.85053990947416,37.694010633549134,40.71749403953689,41.64750655664518,45.395532240036076,43.03119347359643,39.98579910847411,37.01889430684559,35.477038383592784,33.8574348665322,31.69985879117905,34.925511969549326,32.987470804662664,37.22519113700983,39.49559510570779,44.22885886302097,43.63338648548963,47.61555917550713,49.231200132320836,49.81650127661136,46.609809012587306,42.89349560314082,40.65974955974323,39.840236571880666,38.59982807740173,41.571150476995065,42.90654678574552,47.68286212699761,46.48541600105298,44.57420461575121,48.00210403345767,45.623181337862945,42.696512677053285,41.21731180466288,40.53319835906693,36.73349498379203,37.16092979558977,34.73023402480112,38.00131344091557,34.507577835879395,36.59639008240896,39.448849034573094,39.12150139908425,40.62961759013819,42.38658163715852,42.93984365958547,44.22911559578726,46.812404966573176,45.58328188367002,50.01066631229405,51.001376255797474,48.448781589978864,50.44150093888262,51.93853816318431,48.90760551683912,45.77602389116133,46.10641446976875,44.79529682317345,48.47543485343906,49.145550023485015,49.75192078094094,50.07360170533113,48.24624851479072,53.340700411290655,53.609968273462236,54.36802341477594,53.48968097235639,49.19194695161501,53.67730840201595,56.12642255488966,53.83969270320733,57.87901314600287,58.054412283007494,61.66610028198023,60.984076842763706,59.79437686311982,58.01485605531827,56.92984187200614,54.929865424504214,52.87195380379213,52.5602234273276,51.81352245662977,46.996587700319715,47.22290635932798,43.55171944678929,42.25005543449811,42.90100161338623,40.97561329878337,38.22077576267526,37.91110597673073,38.73738026200154,34.76851981883977,32.40355329578224,34.448123958826294,34.54902423961248,29.142762544828866,29.05167840917945,30.10558419744128,27.156172631612534,24.28572008785129,26.39024288497072,28.256504665738117,31.15019884479305,33.91780425670856,35.172344508667265,36.72049906859662,41.75471271089701,43.65520753279134,46.95004860181526,48.12047302171125,48.465111444747734,51.5230039747955,50.29534622004303,54.62618716043969,52.80844191009559,47.76860833554063,51.270112295383335,54.43187788768273,50.27046078157173,49.176936414035644,53.26089427679212,52.592266649213144,48.236051885890674,49.27070329579224,44.956125515577696,47.839990487769974,49.86927512668468,47.39561531233803,49.34682465163159,50.08073483460762,48.4396900688392,45.49489634283873,44.809131580554,44.859631813555595,41.42206212098114,39.46456706113249,39.33047534316067,36.880011184705275,34.40531751650249,37.499495158160435,36.13959979314214,31.390896889660663,33.08897514005937,36.422501563922964,36.99543073370323,40.917959973786935,41.933923540904495,45.50376219009581,42.35843433965022,38.58692684594224,43.47087298904944,43.76329964789569,40.36429921554616,41.3973390230336,46.53963634927406,43.90971651716225,40.14628089390608,44.21827728601398,47.427479850271226,44.22811919843824,41.24327037622366,36.738716196866584,39.374666202901544,35.03776761232531,33.98302167052797,30.120775556360233,31.119981959046516,27.352437447372203,27.075002479574003,30.427347804571436,33.53152384050528,35.439231436542144,36.74823243467993,34.798609263804885,38.56646229951453,35.545507110522024,32.46053595878058,35.95850129385275,36.06016448861356,35.78375095753675,32.33699509883736,30.46801455500109,30.801746859477745,29.769248736008322,25.47979425735699,26.240052041975343,26.35128246272707,25.860081445170003,26.987580299853768,28.35694466975875],[18.293195637002142,20.728606290010603,25.219284369864553,23.583218653730405,29.431522160958856,25.394848694975607,28.041767880876094,29.75754994103893,27.507172716079296,30.48081669978886,31.119541007427728,32.515206508390186,35.54071891212216,33.228346692142395,36.80944591621165,39.256475305719846,39.66893286969068,43.50950576740831,46.27555651085152,49.37804409698899,52.38814150319038,56.49205893619235,57.22100264729201,56.647050439800914,54.42886497136977,50.04085342262991,48.56932726325487,44.48392989496785,44.35356482089261,43.16089242400929,44.1655888425338,43.73711068682176,45.64527055639364,49.84938893661954,49.09912007745266,48.43717023505385,47.805843338130515,49.74398919220095,50.26528772135136,56.36810839098858,53.76318733423006,53.989478572166625,58.34894338830958,58.78151655305012,61.56034898317088,61.85254265377723,65.85897939782416,63.28196765555762,59.72904725386965,64.87507541529322,66.71137579424614,66.80039955292759,66.65068901477125,62.41589782390043,65.53473827982477,67.12787554585557,62.79637044506155,62.331946768549805,66.95151558597186,66.27158234692746,63.12141851200706,62.70458851742582,59.86308088078529,61.67311654447443,60.493107758150906,56.54391809033878,53.14664791682964,49.55165110238539,46.587600490677545,43.13068715864762,42.520577174754465,43.454996022427586,45.284675089054474,49.79888732108286,49.05183742903579,54.91294222167673,55.176778143178,57.01474151472263,57.093196861203545,59.50783735347297,57.23205888107551,57.89267257273121,55.121493776028665,56.391029018651665,54.03863395731982,52.10078076769695,53.67063804185747,53.17280707813185,52.8120046472111,53.939260455644984,51.19294996509159,52.92176190852781,48.846499247453615,46.32426680064343,42.12356523169381,40.70678864727202,37.02534057971438,40.10659160122029,37.73395715441558,37.76611958180053,42.15920721367115,41.62527707195653,45.19572673032224,43.82212366707915,48.355900999214626,43.885909664726405,45.9700862699228,45.681668401569276,41.365379817187105,40.425678969782666,36.29489197231178,37.70378746523235,33.76500306700441,35.868713479770285,35.4944157756327,36.730717962499384,39.53878136194181,40.87653177532061,44.278591189315094,41.5236298589491,38.65145917079468,35.62283104240478,34.63741603829141,32.958779967104846,30.707008922563663,34.33731411681184,32.25111058163872,36.60718536242865,38.960886212036804,43.48865093362265,43.44899947735974,47.31641871316748,49.030380735721266,49.16250008925789,46.298402382422374,42.46186305624097,40.77308021180451,39.74608694721052,38.50143703015416,41.17492254845516,42.773997814991134,47.37336840441806,45.78489070949798,43.83782535882116,47.01431931174998,44.331000740151524,41.536127696856596,39.71702118885874,39.02824443631186,34.99610790992385,35.34144140241146,32.43342900510947,35.52973651746251,31.5902295336516,33.59707152685331,36.75396335827274,36.69054246336991,38.49291146688614,40.31085982296117,41.323426054144164,43.05015583752493,45.41425721684843,44.735776458409454,48.999315764399306,50.4560893242002,48.335157391239534,50.398861399790746,52.23693715571507,49.33084819371496,46.050627240422635,46.148900268601366,44.52326210211833,47.85142576612943,48.18646244261936,48.45292655040332,48.491191614578355,46.404686972305505,51.436425699730236,52.059155072591636,52.893726740017044,52.435338382903204,48.0754598696669,52.86331194166258,55.51491143073374,53.26395225240709,57.10387432484598,57.14965512299907,60.80663725236807,60.53681542168271,59.51537137099217,57.90516253805461,56.83276576171207,54.98665431161391,52.92121371259089,52.636676984884346,52.063394336605135,47.27763209473096,47.380686374822325,43.83723530191397,42.079638351376474,42.895601719940515,40.53786468061903,37.873097489311185,38.11234409268703,38.71356767124335,34.47979666011072,32.79425316512409,34.8610293785146,34.361740770229524,29.14831847140217,29.5723490230503,30.453680621129188,27.00477798106471,24.764411330420334,27.32951529946454,29.409281366572987,32.0644132569003,35.48942298718616,36.220772171467324,37.61792331204216,42.67559847073153,44.70084867895562,47.85780352434929,48.57750660827637,48.80823327248719,51.64907886923411,50.152004610110325,54.68526280433114,53.20871556164493,48.083118529287624,51.38816602376268,54.90738006190364,50.96013454519043,49.638425945507606,53.66657862641744,53.48537793611436,49.18815102384551,49.82794605433374,45.41954223657453,47.73237779488807,49.73433272513068,47.13195781309014,48.70378668003179,49.269344307525714,47.366156000769045,44.77184328682235,44.08281718249022,43.680557916527135,40.29469618522662,38.75138499962955,38.30490006203894,35.63423462688145,33.61210429182143,36.85694877290345,35.175001054796574,30.44500975907842,32.74766692921755,36.10901496698957,36.9732932788769,40.7493760090089,41.636736060160544,45.44953444417681,42.60942253191425,38.84101026113754,43.68808302566173,44.37783025727896,41.11641201698068,42.04631839644912,47.355603982502636,45.133745439744814,41.334107728906545,45.23923049554028,48.72462122600214,45.85651498322093,42.85338333548421,38.33675848931631,41.44588199333304,37.22099843235311,36.01499323062261,31.930639727230933,32.33203843010591,28.19396759470953,28.552756566703536,31.796581916889526,35.17300666606052,36.70569123175857,37.62349221979393,35.17253504821851,38.63126666972501,35.345706567375146,32.10698625755992,35.06232997863536,35.093180064945194,34.30686350232618,31.245173284946073,29.608144953648726,29.344815815909147,28.14163892939788,24.486870769744456,25.10561424474019,24.531921469749012,23.72509835577484,24.668336878708356,25.83138212552938],[20.827092643815796,23.590931093176042,28.315648803275074,27.221300932834925,33.17837252252936,29.386572856993844,32.289207656673646,33.94547053750894,31.945193479659228,35.07794018106762,35.7246789523244,36.9527740903159,40.11238950067186,37.912061236029786,41.439396233348816,43.85583953745698,44.337444696256036,48.200880571194475,50.9886554043118,54.07331406899106,57.09620654388178,61.19029468012024,61.92123492950443,61.31621736982688,59.097016431210534,54.72059200164346,53.226112505350194,49.14097718494782,49.00764351404232,47.742040446896716,48.76158844212279,48.2143644524842,50.044547850260685,54.31344367736763,53.61461470655366,53.04625783422232,52.32079606612322,54.35655925936914,54.84416493004962,60.895824414968814,58.318190416081016,58.64732430474769,62.99614007554766,63.36613086041727,66.14741737997846,66.36725965669925,70.3855611282911,67.83233094625055,64.20391659340423,69.29186155933877,71.17662058601648,71.22010583454599,71.1485857925856,66.8841930701634,70.0226698099199,71.6967102700402,67.39644231155475,66.9207583779675,71.55259039668933,70.904336492635,67.79293607154534,67.37376705337165,64.51295636328774,66.36155602388523,65.19297533630198,61.22871592172936,57.851924989129195,54.24272456571893,51.29077251563009,47.81280424902014,47.20704602047013,48.07660931370743,49.916523367237694,54.45621730940107,53.69638388854814,59.51270851109932,59.81840811842864,61.583478427840454,61.683204023085416,64.11156966280915,61.75937277585101,62.40557417452971,59.519261172166935,60.76233679462948,58.48227535197982,56.59268811650656,58.254754788772644,57.67263058239187,57.427759639511734,58.46305310177967,55.76864447136826,57.449133399765806,53.35180025887913,50.775850078835305,46.63545863080921,45.14814306534627,41.54370220730187,44.49875028718382,42.074044227001814,41.81335644527963,46.4162196028272,45.66101527094566,49.42956334815776,47.85516855237013,52.35969669499358,47.80100001121346,49.62648033810071,49.30011367920621,44.91176345023227,44.11679578415342,40.082989439704114,41.804705788964256,38.0287562009671,40.247454372071594,40.070422219560335,41.30189939809959,44.18109881839318,45.47861113208467,48.959854194521064,46.23310436679467,43.35776462895755,40.32644755042569,39.25835164372123,37.53409816987924,35.202144592978605,38.63465333285471,36.2665840114024,40.62565569813377,42.781758563498606,47.363797308694046,47.09611020363884,50.86992290058756,52.76440515572571,53.014398096614784,50.224774278779506,46.52866178551858,44.59761148737285,43.860614389708914,42.75593433562737,45.55062138020044,47.17311076823061,51.84159081137715,50.35479876535028,48.36788447969463,51.56949125752464,48.90489701780407,46.07581149167414,44.216703776887265,43.38465011115038,39.34176496422619,39.42053110708706,36.525543068517216,39.31977689094236,35.19670126271335,37.501539825706914,40.770905931951084,40.936421279126414,42.612750636065904,44.65087957146114,45.49775041705724,47.337289543800026,49.87338010202949,49.1603416177337,53.43778953531624,54.76214900284994,52.57499937424862,54.48807950585468,56.238455755378325,53.188991368208356,50.04809765871269,50.15077152245232,48.7062465474541,52.08144745749792,52.44756445453024,52.77479744557509,52.74003626008858,50.78004974951675,55.70540003274331,56.40636613014165,57.11554764424013,56.68135995322669,52.1611399789713,56.85918342935659,59.497931921333205,57.35792091423005,61.35050438854716,61.54224326866856,65.16787772784397,64.80683424260702,63.740131185027586,62.01046420093738,60.90856467932817,58.891338773640655,56.720005739682826,56.2931651996417,55.49614678266023,50.706834882035,50.638918025430755,46.91184144864223,45.29238380863211,45.69631684157892,43.44045060201175,41.00481677126896,40.865925898753986,41.19225858229598,37.190668968970066,35.517946596199266,37.11936936822793,36.4911853681662,31.58750298020769,31.660819782197997,32.13276014047184,28.991697859057275,26.820561200489884,28.706858547491894,31.04092106647607,33.12710965838224,36.85387538036213,37.83325195410791,38.88527937808352,43.89088869360696,45.52304114792687,48.941870172975705,49.90535408426393,50.50349758933858,53.492793494005134,52.35956940070018,56.85195261242386,55.14409337092671,50.336530144873386,53.84483265268281,57.18769169094373,53.227039728898966,52.20833206602122,56.35739676104222,55.92176200220985,51.653528484549135,52.77386312554656,48.19730734883784,50.7697187416921,52.56042526219093,49.72424701598274,51.39978121705551,51.67448724978982,50.12531295189569,47.57138625827273,46.42114726889493,46.1388074193634,43.07179272077403,41.215662697134874,40.47832972646231,37.91797276557906,35.9013400318223,38.654150257565504,36.82050240097287,32.26100772375761,34.27365893825458,37.338320468316574,38.40624589313131,42.315786216655084,43.62097913447441,47.253127984638375,44.06899093362455,40.746320992158736,45.72975822494657,46.067345274753805,42.822772459661664,44.2215650756028,49.23604248066118,46.72106406691952,43.302382247969554,47.46401642033377,50.56196546501405,47.500173627231035,44.739631299797566,40.38036134279471,43.127961152335594,38.99286370394086,37.4405579662104,33.84878091859133,34.49904840174577,30.730305293676132,31.017851180195944,34.384351996059166,37.59459448425022,39.43879636642805,40.301250208306605,38.34920053531105,41.90887352066572,38.96382997746257,35.43837076279755,38.39628111233875,38.09973838591273,37.59165518393342,34.718260041678086,32.594771811390444,32.294880845247846,31.704792415933458,27.810510193753483,27.853576539736213,27.33307004126657,26.699896495854492,27.635685742497298,28.72902646933972],[16.788938171222057,19.871908224497233,24.733553315925974,24.912393101846504,30.722836903542476,27.265069856269054,30.74371313054746,32.2624148727456,31.185968498332684,34.87661880780509,35.92747755537287,36.69487888959796,39.86078476592096,38.379302465009,42.021444383432375,44.027356103925705,44.56166780714179,48.763739972731074,51.88850190012323,54.527341052414,57.860240522213644,61.69463770263727,62.74466553162262,62.13267034139631,59.551020540810725,55.32007622563211,53.36134360891599,49.23333015817048,49.06445554979418,47.47788922133256,49.25566637796537,47.935365854435574,49.97297652900959,54.47245962948705,53.47374110218616,53.087241094364984,51.76226387985464,54.05574127479986,54.33658625714179,60.07851544108757,57.74733476947398,58.67551838489593,62.91828737890412,62.953232759347436,65.88128681314501,65.8960194988448,69.86139517028602,67.24942064048344,63.36304385670282,68.25164602181103,70.15384370861237,69.97308499757418,70.19704967278435,65.796081841855,69.04769844710104,71.12183788325972,66.99195003504607,66.5428456319217,71.27909578925657,70.7550658901644,67.99783732454978,67.78326296002,64.98063278867401,67.22786277554953,65.84222785928125,61.677174443928806,58.86409293636876,55.12031760614167,52.60885553008093,49.14970248263644,48.83679762254951,50.193469531128976,51.653615484673,56.07630735635908,54.83732392291682,60.67696489724982,60.48242947223512,62.11087862499568,61.84709549765272,64.03677429269355,61.23801480897351,61.59125568229154,58.294964443162286,59.32667405895707,57.31542179346433,55.670925928559654,57.82304618442973,57.06931731707671,57.47757183105467,58.586133952399216,56.32833119932586,58.42613979082243,54.28775553793945,51.44609596626881,47.21594474544897,46.10422454287159,42.40120168410132,44.576975695867304,41.731760354676005,40.82829590118761,45.49045370558969,43.872478149812736,47.95778863725542,45.675984412144814,49.940811017836225,45.185856345050745,46.454612277707966,46.0639531509297,41.59584804182389,41.058585189428314,37.270953947188744,39.70091243908062,36.41810317943069,39.0482559458557,39.645822605516095,41.06885442323506,44.28451521799043,45.78838317657245,49.77573919800814,46.93058408373625,44.23526655519926,40.952292838797746,39.69315605946415,37.45031832943796,34.59300574059185,37.40364221494639,34.14128105232235,38.45016056105205,40.112882419119735,44.70183928410293,44.14602348263992,47.62841064460004,49.9469025913289,50.276392294839596,47.849974243807104,44.51348567689907,42.33560449549719,42.33723613314477,41.82639404722155,44.77123255701004,47.023397071918524,51.804513045553605,50.39317869131301,48.03375149149246,51.11509171494763,48.41576145581501,45.46850033408906,43.37492162260242,42.00700956075544,38.01802058004384,37.39017593724644,34.83277807208725,37.09976951888021,33.19089642120293,36.15040317844074,39.24752437081286,39.732401500560194,40.812942496140806,43.423916795294865,43.58560740389782,45.708949422522274,48.81543657983412,48.14209652021726,52.363020231572975,53.4147431132008,51.433210813312364,52.781302516264404,54.620264415161785,51.266494048398144,48.456707859501236,48.28656932659956,47.18505882002384,50.41825783151602,50.734351420923964,51.20088654626966,50.96828909176456,49.50588538221032,54.091023186844396,54.909912051024776,55.21187646098861,54.8671829693632,49.91281339092282,54.39757480893199,57.04662471938363,55.2446105247371,59.61115857450837,60.26651350946697,63.80751144969631,63.345705351468226,62.18278060172199,60.26699564114944,58.93869831959221,56.61027205287792,54.19338687167565,53.435049561084455,52.27930650139665,47.578123129700685,47.06307838246889,43.10164019927665,41.522553476494195,41.32543133763955,39.13307290609264,37.09153209841686,36.55740550457107,36.41917880412928,32.707033376237305,31.332165075329893,32.2646943696217,31.32185712071609,26.8912051502326,26.721819132451706,26.664267369081816,23.771968355695435,21.94846521731722,23.254210576993206,25.95234766735187,27.324726932532645,31.72726084560206,32.56487735358804,33.19513963248209,38.15624400871105,39.53016089234127,43.06689718611151,44.04573050755783,44.923362461104155,47.98967897404334,47.17889693800875,51.646359534321256,49.79531263947203,45.32864341695591,49.00010614976867,52.25138507204341,48.39329369565953,47.663321473735785,51.94212393098785,51.43759669634704,47.27675010901548,48.87709822649821,43.98711009036513,46.69905654520403,48.141678209033735,44.98245072429956,46.75059271562986,46.70744896534943,45.60426912655988,43.0744604924127,41.398222127053415,41.33236418272615,38.63395059576065,36.36252404068362,35.38483429419954,33.014529847527804,30.90741103396834,33.15815314750871,31.29131424309587,26.89674245852037,28.557773378448605,31.38982823075308,32.59990805492491,36.58627007250822,38.244897727279074,41.710575096850334,38.29262497409561,35.39662787570739,40.47973033782738,40.5934876600533,37.4455100218645,39.30834691035584,44.036913172687036,41.47343221592784,38.49042234131636,42.83076948739327,45.63771210434666,42.644100371046626,40.19011796665307,36.07944501130791,38.852264306656686,35.046484166201914,32.84006166335459,29.703681886231678,30.08060966439034,26.62494108021487,27.42161030462669,30.807981233228666,33.99598445845221,35.92718076662674,36.30686182928041,34.882964972308855,38.40463176684962,36.05043758571794,31.94098628326513,34.768046397645314,33.96801964023493,33.98357661637663,31.392337300368144,28.502025881171676,28.255100059817796,28.71734545490074,24.37412694098724,23.524447662241947,23.40004061254779,23.212826318236104,24.377016520446013,25.62104090351314],[17.39338689147964,20.151189187278774,25.008420901936198,24.629335630467423,30.70622263608082,27.988261750588673,31.473470186450466,33.58042808485073,32.455724719271984,35.80357115832751,37.134415022789945,38.36176327712184,40.99476376130981,39.20521374342415,43.20199185743235,45.26235905268881,45.320928897894646,49.50818883117475,52.23345550959467,55.044522960674605,58.193576978746115,62.03214898739026,62.863581896694505,61.98432695016176,59.560223136407586,55.35596351784952,53.58116815236488,49.55894568321291,49.79099165632842,48.57055690008476,50.55751451444919,49.50268738777651,51.815507906018475,56.17344706617344,54.95941642300053,54.21994335687939,53.031436787873645,54.80678489795568,54.88014973543465,60.662349204934635,58.02039724859664,59.022343227811795,63.35057942354185,63.236867021822434,65.9361962999496,65.74477623739138,69.82069842230406,67.48163796871685,63.45404704007344,68.25944726234418,70.41951148297854,70.45070325429502,70.7461889728542,66.52392845899003,69.97002435572801,71.84091675963704,67.63492123051435,67.486239034912,72.2039964835253,71.32881909175495,68.60259136604839,68.64210276565541,66.01242145714814,67.99457692208192,66.43428836559822,62.399319991326884,59.41504657496457,55.896065693869296,53.11611403668643,49.907818335252976,49.3256342402054,50.66808860186451,52.46189520587319,56.768917550396615,55.85249111346131,61.859413878088944,61.56530480116466,63.50265887066703,63.12246772401549,65.15097124178736,62.49747906779028,62.6200876162608,59.54835029296144,60.33299622793611,58.01359093328964,56.61809980022132,58.73079064957092,58.39095925342429,58.572614674021914,60.10284996866072,57.698460686355176,59.89748643688321,55.83602307864967,53.17338547072424,48.79909485295839,47.82125497700004,43.94791916469882,46.44522954870492,43.6507295890661,43.188554089847266,47.438373791990585,45.890470247477566,49.632736128320296,47.29118681387392,51.223418210533545,46.37449782812222,47.67458288076665,46.91467586447532,42.3939206661644,42.20707748677461,38.22215605494792,40.47502851747556,37.22284398486135,39.44451042821077,40.11671722598178,41.12057748298172,44.44195099221,45.518599979655264,49.693799904260786,47.23859232053463,44.335865425299836,41.17056343207776,39.45875080445593,37.40550510074631,34.78394117363053,37.401019376410574,34.56744647985435,38.76699605400312,40.511708708049724,45.28891771733083,44.2923269187167,47.9795664904461,50.05169548073168,50.795061861412925,47.91947101886,44.58892309308928,41.980655493485266,41.95394394046018,41.28129133517187,44.44952308409409,46.2940540492559,51.1979323101131,50.12405010217644,47.89805511559722,51.24481037457271,48.84449450960383,45.80670900889205,44.10881371164822,42.91644023981497,39.1405378210574,38.8472974431186,36.662541547173014,39.33246442357301,35.85533137729435,38.62330468188504,41.445595254882065,41.523805678657965,42.512531109370265,44.85690611359601,44.78798589402056,46.37877853700827,49.51599799791805,48.302725776833675,52.693705579222566,53.381951635968974,50.94106984586632,52.383482875317604,53.87847172542089,50.50392610101386,47.741645623101405,47.86458999293487,46.95617149002409,50.55836002108834,51.2119809453872,51.96626476704374,52.08257432532932,50.717134610837526,55.4799296413137,55.8991065036424,56.25865911183752,55.466416190621224,50.72254218525415,54.974443690387034,57.41785518029168,55.473368006136795,59.91161546843327,60.54967843586756,64.07246280808091,63.24897044481852,61.94812241432288,59.93449993428856,58.65628571837854,56.28463627399216,53.95828339745172,53.28232137875775,52.08380874111428,47.334295788405285,47.09199289391731,43.09902567041714,41.957861997089054,41.8305327333761,40.05978273668762,37.77283020817622,36.84489389735458,37.127780908627976,33.58113976014122,31.4041952433388,32.57688511916258,32.40778886389887,27.58334843634875,26.98619671852933,27.350210488098764,24.900400712402078,22.263341496278745,23.327761561099795,25.636779479108032,27.57854570040463,31.002616303478764,32.41261828787587,33.390206294589305,38.346985392567355,39.71540757856635,43.3240436662741,44.755162945975464,45.60139913737546,48.84716203842363,48.16331144883179,52.4226226725731,50.29184806242853,45.76733589185181,49.55842293098675,52.48572205998718,48.37905411712421,47.757608761339235,52.03452922551654,51.084085357339085,46.83137337794622,48.631557316955075,43.95676279224543,47.17530496812813,48.778961213050394,45.897873434862156,48.01840975528603,48.30965110022351,47.28298872085292,44.37067008427783,42.952263890289025,43.28654560573808,40.35947758578128,37.840270355322744,37.34452596553151,35.142387556125676,32.57502510891252,34.91251208864289,33.46440667072145,28.986670438946724,30.125542058175018,33.0499077907883,33.83337498894943,37.91845232702156,39.51976327040907,42.79634585053947,39.188601035806094,36.082215390458295,41.139587900380484,40.952163470375055,37.62803603612763,39.38544469309639,44.06128177149851,41.1265256164675,38.00163008383063,42.42481433796632,45.079513289030984,41.74860132808178,39.1961810661924,35.013960021185504,37.33720663679562,33.320624627894496,31.475808894104603,28.392031156884382,29.43626622419949,26.24353275801484,26.257039341711597,29.729013100262847,32.661130987168335,34.91081196204563,35.8217767230602,34.696678619501135,38.51980530593919,36.22177944043289,32.48552781872646,35.90398394422712,35.394833362729216,35.72988687553238,32.62217309930426,29.824814976303216,30.209991608619884,30.388075845948016,25.589596976711775,25.297393853037576,25.76774950781115,25.71347889570541,26.971528233819612,28.400766812588273],[17.4390992358016,20.042565629961896,24.795043684813418,24.803154264847926,30.810450875939658,28.830459334868,32.5392532358788,34.88141244351099,34.19453142648894,37.55683040021111,39.2026712113621,40.45368965891227,42.77384044351549,41.15698721315006,45.35328228785216,47.244600673022866,47.061213359270056,51.356615005916844,53.98135383640549,56.67229752666406,59.83479534710252,63.53602253386814,64.37790859934513,63.335264629102674,60.85270553031774,56.758677570037,54.89228219456583,50.944628978985364,51.395592840143856,50.24643305862437,52.67717099100301,51.42722566788485,53.96359490133074,58.32462530793242,56.865995306605974,56.018678370923034,54.635429468581314,56.22237716220547,56.06916177472456,61.686544417744244,58.99063848949996,60.32476765323331,64.62906989100219,64.25797337055752,66.87338062071647,66.44740229168916,70.54804229876201,68.36392547130369,64.13659941365377,68.76088234068249,71.09113766215798,71.13336017905658,71.63076122007746,67.46564438554465,71.0714747178238,73.00932761279573,68.86082134000625,68.90706378811345,73.64193720817303,72.61892359030495,70.09458952667177,70.38011093623791,67.88905781202294,69.89080202117833,68.13677748521073,64.10355730243565,61.28927079954156,57.85967473133392,55.13701695573609,52.09840243495577,51.492638404940266,53.01689960982671,54.830943303603625,59.001572489342124,58.06502803494965,64.14486705806979,63.577586650095256,65.61626535449004,65.00912607281595,66.82585289281417,64.05728992660015,63.90375616084943,60.779180024014,61.304975592592356,58.94782513919708,57.834540700547606,60.15016684195682,59.96972975678483,60.32866931744793,62.11875678778568,59.84229654528199,62.267191434193435,58.24813557257742,55.57824484159872,51.117716966481495,50.37268225110847,46.40105330642996,48.70858337887008,45.777697059174244,45.251948139193075,49.28149512182114,47.36817745559606,51.045657376679955,48.33274471042866,51.90645733006125,46.93661367912689,47.93198334934053,46.905662267459554,42.35065388991207,42.54246290398632,38.62520297185023,41.12462358190396,38.19852008986014,40.34782791511685,41.44189531228543,42.26915794572329,45.77930098628325,46.677761965576,51.169409678032444,48.91478575938011,45.99775005217338,42.82319859300544,40.77039834298287,38.61780325986825,35.9292266182018,38.06371231912386,35.071514808273946,39.10985657657679,40.60550492101383,45.4554013950493,44.00268952119219,47.62200773748165,49.758318031259826,50.820854612048294,47.87637420451684,44.78636135932331,41.772190112421974,42.140730537853,41.68701133684194,45.0454306747102,46.92043524755917,51.91831612032158,51.1104470019122,48.80600152866516,52.23216336024072,50.020583327904404,46.897600584166284,45.341103885557935,43.99888810717481,40.42235340659612,39.968393787474945,38.19303328993006,40.779279818294185,37.67140271333736,40.62174100994177,43.192998358950405,43.20825489281817,43.844327606432905,46.29750179382213,45.74842665853802,47.14807748781985,50.56918520144177,49.050314436085415,53.4822825933435,53.7877364234656,51.16874686134835,52.35810963415565,53.650157526102355,50.114395222155466,47.597418549267495,47.77272446497087,47.1940506682345,50.93250902371548,51.77213850756989,52.774129504750945,52.99911190453251,51.95473889520299,56.616538196524296,56.855734798225164,57.03646037005661,56.01786118783141,51.20938216253593,55.161340267817465,57.46034040731518,55.622521485132175,60.279556927547,61.1509261701456,64.59339544970426,63.48652630873331,62.05842838369589,59.87950493008898,58.532924062371215,55.96391480787074,53.56958727431573,52.76005648970237,51.31881168863235,46.61994422073679,46.30242606283073,42.18030293687869,41.39092800081731,40.927445143427384,39.51609098661102,37.34515387869632,35.89169077887731,36.16118931289063,32.98926124587229,30.46940376425472,31.33102583912276,31.51404168526312,26.854081510899256,25.76313532081381,26.04115306568994,24.193918606474195,21.27892327687042,21.629558437307523,23.84009368788631,25.613932751986873,28.6861950742744,30.471293174518323,31.376951486847055,36.21927446100572,37.36774951760082,41.10355791464428,42.89233555620692,43.92903422345573,47.338689610962426,46.98455131488719,51.045235676726534,48.62281268719777,44.33688273570693,48.29894554648265,50.90166555816819,46.70847273090415,46.376663328380175,50.70407721208927,49.37513751932227,45.15886871023515,47.42061976353696,42.7453878138066,46.38681093134843,47.86845002552485,44.9931449236868,47.394682638496555,47.68990672199785,47.011897017120084,43.900242617877986,42.320279815824144,43.04472282280476,40.248151979185174,37.33922808386224,36.99815814060791,35.06476809624741,32.20008359331002,34.194241581890225,33.01479145371122,28.706087198369488,29.21055741692603,31.951411046181846,32.53435538071636,36.689211279457,38.49485447643946,41.47805680700663,37.58920066343337,34.697716832548046,39.74561633231352,39.15979004268789,35.807233957952974,37.81359589580069,42.18671586026841,38.93239208555611,36.05979024874957,40.63785294238403,42.925566416630254,39.3831855069616,37.00645124009987,32.995583724291045,34.899014752371656,30.989942843504696,28.987384792415096,26.382645520797286,27.794556094557283,25.13816381020752,24.853188966835404,28.32543224123308,30.962324311507047,33.50780161253717,34.49965001747964,33.982264461997694,37.93849223811956,36.08006974419824,32.3226352862676,35.98677655869477,35.3698463323862,36.2059820269936,33.00310997100349,29.880022244939024,30.677366622484215,31.269748851658875,26.085161945873924,25.631300696786635,26.647001679685168,26.927131859945074,28.29987521979535,29.867793889698873],[16.47127452175039,18.698475105322526,23.346802026975475,22.44511388651756,28.607616048429453,26.706760683386722,30.168552137700885,32.82441814621254,31.80865679569846,34.82628622632637,36.515006867583644,38.12792732029746,40.139935806985896,38.20497457524243,42.54782330343216,44.54586400944924,44.11102324281039,48.31106382004219,50.6816045485991,53.54084109905901,56.5514359305524,60.31230955291838,60.99489139298423,59.86421702365485,57.52457723358053,53.40664365888415,51.72801394657393,47.8374328763899,48.4640242741658,47.575791723745084,49.92833168600541,49.009843968122965,51.65409750060262,55.8631472601697,54.3551076168374,53.27547795815468,52.129537222298914,53.39262827148094,53.22257342586141,58.95773869211823,56.063686570308626,57.23268887204757,61.59840036414831,61.284616995582454,63.775555315076126,63.362463813929956,67.51623099280658,65.43442062261111,61.25643520755089,65.93931186621624,68.32866125403635,68.54074032944737,68.93199039217689,64.8980937891043,68.53509280072976,70.24857354903804,66.01385940185789,66.17708546563685,70.8705225919191,69.66564314307881,67.04948311072211,67.39001429442311,64.97110905764065,66.7555358603871,64.97420365886512,61.05133532955223,58.04352551896902,54.74950134566725,51.82908446462916,48.916785127651266,48.14180227238181,49.60010190244804,51.61335849529336,55.72577366682626,55.026444449558376,61.17832556918291,60.65157378445998,62.87989455742198,62.293203850935804,64.0877404845855,61.52328733291302,61.35445333235146,58.481891444615066,58.97860366287932,56.39440236968886,55.29273945786622,57.42708581503714,57.497467779505385,57.55715026627613,59.54970570410856,57.09900438919662,59.49940515069796,55.54518415792376,53.03942009860095,48.52116375003794,47.80333928028317,43.75585005418597,46.39805694657689,43.606326701957386,43.54747685942259,47.27736510302484,45.705204898280755,49.06539799459088,46.608937076148834,50.140341663403,45.22820346891584,46.54257842227007,45.42063335316559,40.89691975733099,41.05702926082602,36.92629250267595,39.00424439039535,35.87481422349427,37.701904287383556,38.556281642158226,39.16547642312498,42.612201820182655,43.30574325117528,47.727841204981715,45.6531022546498,42.62121232882546,39.55581568210025,37.38125943258134,35.4371670059978,32.99931962551145,35.29488181987795,32.84137072500634,36.86416508751683,38.64828651261092,43.552540091937935,42.1525674774115,46.00394761116875,47.82304439253368,48.94556425794339,45.67885935697115,42.39950806383978,39.416772928903725,39.40771147617114,38.658008152235944,42.01413295106402,43.56602320970937,48.557410016255346,47.81578835291424,45.669309982451644,49.21946863844032,47.12698590061254,44.011634485664565,42.69301804406415,41.62176620792483,38.12490030712038,38.111669918931554,36.403509076537844,39.43064061536931,36.53797047293058,39.11832221054442,41.552953807290635,41.213868401992,42.01104819780372,44.1079075230454,43.71876647691229,44.77649035219923,47.97950793021375,46.25180374443182,50.76280832953083,51.071088388148375,48.252954835803415,49.71924653901467,50.91439295341145,47.52931888012507,44.844283437077536,45.20362009156,44.50061488830586,48.40159331480688,49.36887138553782,50.41325633561188,50.86460993838247,49.66621639629306,54.53903555313709,54.550407450697115,54.927546267333454,53.702099735581356,49.17215390830835,53.15711896490535,55.38937697102924,53.3355105616752,57.83979538551807,58.49776280061155,61.97810443643616,60.825092883753825,59.37624591941968,57.28318806580748,56.02974653081632,53.62705930541787,51.39759508375819,50.80309245386437,49.59502498669539,44.84127178816375,44.86166673027411,40.896935851698,40.15097358191202,40.168210330473045,38.79876441230459,36.259003675571336,35.03700090773392,35.78566644686507,32.38772004014359,29.47067989854819,30.973313394950875,31.590401772313026,26.38105326052694,25.48073407459016,26.384093988522665,24.312480890510397,20.9409766362142,21.987603971529488,23.76900774921234,26.450586461319723,28.779961098036782,30.599132326422595,32.03604454485414,36.96283422991918,38.505751716879175,42.025259852484595,43.74964537611434,44.416686377789404,47.75741262040408,47.07507787898053,51.127684112976056,48.82289861477454,44.16116737222515,47.98215701735302,50.64926212869019,46.33750328339016,45.7288193680368,49.950340907766424,48.67278820396113,44.346976859521604,46.20183061751362,41.7837638090592,45.39801154072127,47.184991130756515,44.648725152836526,47.07271194014242,47.7673300381957,46.73648078079068,43.45523235832854,42.419560601810154,43.1211089502659,39.916739953965255,37.2460006508407,37.31753244863298,35.28286093660553,32.283071930001796,34.825004405587585,33.86059966761232,29.30905138210504,30.016767204890552,33.10652780156107,33.38826038814304,37.47038879665832,38.85059375038425,41.98063429088175,38.35357261382854,34.90695215633369,39.84573474479291,39.50388380913233,36.035552151109805,37.514091859749406,42.20903210993761,39.06759067095422,35.69180595111737,40.075737435581,42.71742213317919,39.17395890797461,36.45491549043266,32.18024954363702,34.22616942299035,30.018264351843776,28.63603856964285,25.44197331224502,27.00464595130793,24.008930369468295,23.30965730806837,26.78261562013888,29.498709777219602,31.9322838280274,33.32506310374892,32.394164617774976,36.43991912835574,34.20046356257767,30.894859619022427,34.8388861423569,34.66757098955272,35.299843688871775,31.700683746062467,29.09438379111024,30.122594344543508,29.97963157480125,24.829441712174912,25.165979473764313,26.258935474887252,26.365960802749633,27.736961057738853,29.388519598343592],[15.611640864625452,17.331654839059976,21.64686357527307,20.79759007198816,26.8213402333943,25.898336229128635,29.46747712053005,32.50681144638526,31.92364260229619,34.790369557014245,36.878988625614056,38.62946442614296,40.1052484467301,38.31467714419761,42.91498281729818,44.708626982827575,43.88780525913776,48.16706593437979,50.331750629035724,53.058761178531604,56.034863554197855,59.618658545168785,60.27835061127562,58.93563375749669,56.5613082241216,52.59434887066158,50.85422798019763,47.09429383433723,48.04105618093592,47.33309595224318,50.21234625889873,49.16351713802147,52.118896192071134,56.25071128834401,54.41739602405609,53.12634146605693,51.8252206112366,52.73584867909465,52.28192711399925,57.830845281212895,54.82173118991337,56.338831939660665,60.67425599891677,60.066029809626485,62.415166399098,61.734145116012314,65.91598251813375,64.04880418320397,59.66761472862675,64.14525550648372,66.74588327724835,67.0211070015909,67.61906682389906,63.70329598487424,67.53213471849051,69.24398271117877,65.06343940150748,65.50009671956198,70.18732548621459,68.7486388740598,66.36266081620187,67.02350527716702,64.80972187352128,66.55372099915222,64.5255322328948,60.64863978112653,57.82414344158317,54.695762292359994,51.825245532797815,49.1859261145929,48.35393670776736,50.04681298205546,52.09957540086329,55.987710133446726,55.316965049242896,61.55473136197173,60.68028908618482,63.08825344665127,62.21941378942471,63.7321338052331,61.10611987998345,60.595343338383074,57.76693009699914,57.937925726029135,55.2317419195933,54.47959502495414,56.78729240131497,57.144278762288195,57.3200813921658,59.70414660140608,57.37279124624608,60.053220750719504,56.197087489681174,53.74984904314519,49.12767259939841,48.7380058592607,44.566331606557725,47.050567834273295,44.158966282372006,44.21906717291566,47.50640946706807,45.64275729515508,48.75473668906346,45.97835030074997,49.03674044789165,44.040051408464514,45.139301459918585,43.669596564349725,39.15218385236673,39.73954418077099,35.624312982953604,37.78510661796542,35.00055023215198,36.59382972872608,37.88063702660126,38.200030299214006,41.834123485826716,42.25618268095734,47.026863781846785,45.25603086348854,42.208831560347946,39.18253201502251,36.574561772801474,34.57372919529078,32.1543431604207,33.877256213469856,31.466791365163274,35.24677900236487,36.84215899640649,41.82131493629584,39.926350073100345,43.787366929002125,45.52741379643294,47.03247561197426,43.56678321898711,40.508131922772506,37.086972316499576,37.39723976639369,36.8203614110581,40.37626906139101,41.88142236376201,46.95343416683796,46.54121299325092,44.35082562539235,48.007307482894994,46.1918370123559,42.99766738955247,41.94286800336359,40.79817375282776,37.61382642812817,37.59219566452637,36.43996999974817,39.538493688631604,37.24130944068762,39.84253766821569,41.872663318791766,41.299236110777166,41.72230455323994,43.77994483443244,42.87223472450628,43.549248427234005,46.9920350787162,44.83623955105779,49.39567783289944,49.25629666137822,46.18661734049136,47.449260094633594,48.38905108775749,44.88403802364018,42.423421684629105,42.89866032722056,42.5318772817394,46.62681355841677,47.85348708977054,49.20237566340831,49.87326116102035,49.0081191088606,53.818163914317644,53.51854161230511,53.76140101692295,52.189057993877185,47.72107565670086,51.351919614096204,53.38387385204576,51.371894655091474,56.04929115391943,56.900015686685926,60.28719734017777,58.7977403181954,57.2196152375611,54.96880218851991,53.693077290655566,51.13260885992269,48.89030249302628,48.235400381574344,46.86389256740777,42.14949256042556,42.24950638399824,38.24223001944311,37.91848761556737,37.81456181190426,36.885494592693725,34.29920926125815,32.61430296918527,33.61872149560043,30.553616842771284,27.046871056450144,28.557262192062364,29.836461622263897,24.561448084326106,23.224288326162867,24.42522430969547,22.94401151458378,19.036248471508184,19.701791040655475,21.029621727301638,24.118503886722287,25.515762832899625,27.733058979345707,29.433488761445542,34.24063324709311,35.85724997298186,39.306808107161054,41.341519234301906,41.953296061762956,45.40397672606247,44.87350407487708,48.684098629974386,46.157501978391814,41.54425817988528,45.44505778801065,47.79165588044752,43.340501588100594,42.884014190632314,47.085268757858096,45.44673554511601,41.11712266964098,43.23457132478626,38.97131633472495,43.01301193867939,44.825651123266454,42.49888919289051,45.234306268365756,46.168228936065034,45.32819282603029,41.74247404150772,40.858114096893466,41.984084510580004,38.71271470031972,35.76195867319959,36.26528102747642,34.50099945882141,31.115930161494312,33.582267431627244,33.078156270309506,28.63463158301333,28.746101316904188,31.822742967909925,31.669808598975496,35.73039994285899,37.04281354545952,39.91771538591202,36.1928232365758,32.64882487925511,37.46364816933004,36.853720047093354,33.309651507558456,34.71405358448571,39.25611376485971,35.875124284429496,32.471822986478166,36.878605994311336,39.335766673111564,35.60672996164576,32.877048042146804,28.649763982522845,30.35706450006298,26.112603712563622,24.926465192736124,21.90195413800715,23.93352714712448,21.40557086430778,20.146418654896923,23.570993098719363,25.981408888733064,28.664286554834597,30.330720604595108,29.883799805732597,34.087015071247386,32.19397718077934,29.126340835752718,33.45840177312428,33.40940287551017,34.51364623009375,30.636932260632683,27.966739397002765,29.601367240992648,29.554006541424926,24.06866515523836,24.645260894332527,26.40012565118874,26.802313160306227,28.291356971442767,30.12532898792323],[14.983197536667134,16.06228969589579,19.945683556336462,18.56218583566766,24.487013363141646,24.177988551159597,27.604704965867917,30.98707511155437,30.486247630551187,33.05448073848867,35.3754262011727,37.36103556762017,38.36309677713207,36.52429707069432,41.30339321734604,43.01343671111079,41.86143160719873,46.11847574803469,48.04903764394495,50.75976904234414,53.64333299497224,57.14396516813791,57.7261549845093,56.24132883949707,53.90923958509903,50.0251013708458,48.33562943780804,44.6882392130381,45.88629183983112,45.40406101844505,48.52912461995904,47.56714058862758,50.733201177234804,54.726801059797,52.696547558532295,51.18515537648126,49.91701717709677,50.47762504935447,49.865684965894474,55.35477922767789,52.203337778751795,53.8231635329978,58.15704940325184,57.42606822362572,59.64444808982164,58.83925379105802,63.05073610077709,61.33608861594482,56.88629062068559,61.28559814291746,64.00891867309336,64.3937485106639,65.03994929428595,61.255670717769625,65.186842116592,66.78841341377861,62.60510311598724,63.236917781869145,67.88937487430621,66.25121776986603,63.950456159560545,64.80549568293331,62.74011836858719,64.3668190230197,62.19666514709639,58.40147405252687,55.60818551105676,52.64027984413906,49.731752894212875,47.31540151189697,46.38961626043459,48.19272926665621,50.330262632320775,54.044748135303564,53.48632213540972,59.77967167126522,58.72651468359757,61.310259586069826,60.29612181223811,61.64002197061791,59.08479511154025,58.38758365064157,55.717982645014345,55.70491413774204,52.831197511564554,52.26924774779403,54.57275625576001,55.20236807122896,55.299355549009164,57.98438420025428,55.650836657644334,58.47147449225807,54.717446421280805,52.389180247693105,47.70662258009279,47.52548087499459,43.27543193952226,45.80318192652325,42.943790150972234,43.30595585842869,46.1672320614372,44.33569271806375,47.125398286984634,44.334366753282644,47.10667701171598,42.13035636033679,43.29561825252569,41.61063090249475,37.14736854142288,37.92432902778321,33.732993064319125,35.678745511917185,32.99509368966447,34.2749456535864,35.671118240773836,35.722533511631084,39.410471837695,39.59251340314336,44.50718672339485,42.98745941654059,39.90205264400097,36.963389756747816,34.07272618157113,32.14587423538903,29.880560938098633,31.347870778813366,29.278994863798356,32.88294499596419,34.53088383081164,39.54377330764058,37.449919912492405,41.428649515532726,42.94157581837488,44.65326198037919,40.929426753454834,37.89009226215547,34.28909601609534,34.551572291549704,33.917591343174756,37.5588123269262,38.89086508956193,43.98679667607101,43.771496667448716,41.63448716954823,45.38807399148046,43.78346407551053,40.56725432391967,39.77912222424297,38.74071973332829,35.79643991926887,36.00675808332524,35.20892657474604,38.54967140116827,36.71847319003889,39.106140155996265,40.81831593576796,39.93543885785138,40.23439468969343,42.06641053582062,40.970923497668664,41.26179972184542,44.699896712822,42.22632354748382,46.83012259315241,46.46873953421371,43.190357622979874,44.48888845905776,45.263834490690044,41.78939227969197,39.35135440179241,39.9728426729086,39.704594176053845,43.96221285211556,45.379408391929076,46.89904966710863,47.79799529764565,47.03242977775963,51.89427712511346,51.31687271709486,51.5928089120784,49.74418810973115,45.4749517934287,48.934377841229235,50.828225935997864,48.7265842156562,53.39317450583647,54.228655508316635,57.58202923410925,55.91975796229417,54.26881580954573,51.99469059460119,50.76030665460413,48.221696418692936,46.06664137730873,45.504960968377965,44.199648878935385,39.48928358009417,39.8257788043869,35.92138694021919,35.819239965733814,35.961472659818206,35.26945399397632,32.45948316979665,30.723662338919034,32.143213758087256,29.131950959526876,25.142604987221958,27.06168751066822,28.904516151665856,23.356567125321625,21.976987446218008,23.708513445392764,22.396042813757273,18.072088917997398,19.02487365677179,19.78711393687987,23.606939385369323,24.06628545184297,26.405636159156657,28.553768786557875,33.29013544645909,35.21116061084497,38.42837142613643,40.50478322378581,40.83504741167135,44.252851427562604,43.57211662102194,47.25071394919919,44.7341394298915,39.92445384447163,43.736810436752776,45.98344482000217,41.42964195583835,40.8540431880293,44.95434114819806,43.220536541898184,38.84516053867733,40.79034971746021,36.78072921832754,40.96044237678741,42.96417320175582,40.95778949838701,43.82520362386169,45.10875888763729,44.14412732509491,40.34187960866703,39.874962601442256,41.17032006690075,37.65128402848399,34.75100519803573,35.705390811956875,34.030826357678464,30.436707587705286,33.17191455522092,33.01833523731372,28.560392671399608,28.528333552156255,31.76374416138407,31.23210911886374,35.170613261136076,36.15749878230847,38.988645502428014,35.444616347437176,31.535907918511217,36.16222880576006,35.61865670237912,32.01154417754912,33.00513846777871,37.66186638746707,34.31000242213,30.579555192741385,34.81412865189697,37.42874461825366,33.68008090532796,30.72947059768005,26.37714846111231,28.069855270339843,23.64734354777153,23.01112140537066,19.648258433351717,21.938298979351927,19.447794492265917,17.648716184362847,20.984711424856677,23.290422086836312,25.97195125888174,28.000342271194473,27.51291952922309,31.804503055535562,29.869017689049606,27.23662124285549,31.878274740619542,32.16344957529642,33.3705609049134,29.168566005325193,26.828632643057208,28.883638768534848,28.452125526381327,22.935873891486626,24.10264068415813,26.193597711551647,26.63585069682878,28.161560313207442,30.095733866765567],[17.146661336541275,17.72934205648245,21.104885820069303,19.24618343594818,24.922754556548824,25.294568613947487,28.505598433989203,32.19540971258156,31.69126142013395,33.89340298168115,36.368384548327846,38.62190623350469,39.179615106812506,37.188068356410795,42.11446237759506,43.801884221714154,42.29991896799429,46.46446069054202,48.051398623652716,50.82529345319543,53.531341064771794,56.97083156988222,57.38661925806679,55.70319094747909,53.50984185247973,49.716255183520026,48.18274278285097,44.69505095463337,46.19605672268586,46.006841319616285,49.26798431614555,48.499326110962386,51.828416132573395,55.657327946642724,53.47865949425457,51.72050096741217,50.56328582487675,50.70553704277459,49.92978117435145,55.36006943144492,52.00628981239147,53.68077096248437,58.0207801396379,57.170214520236954,59.18256010232273,58.21550881831507,62.471128437282495,60.990597127702074,56.47415656788621,60.757574808984934,63.65729677814914,64.20780382224807,64.90189417950695,61.30189492011048,65.34477853502246,66.77451622438116,62.57792099442868,63.44296740920541,68.03491109612442,66.13746033366483,63.89744130110344,64.95459000023664,63.05270157271403,64.47192816242894,62.174301259936456,58.51849264362781,55.660325121194454,52.9098426456745,49.86821314554172,47.70251594072131,46.60400697991723,48.40656920964917,50.73428190284804,54.282972266342874,53.95150154185834,60.29059397126922,59.13940479427134,61.92748527836232,60.81660608067878,62.006927133976724,59.58516484791026,58.70847744399114,56.251567368190756,56.042917686048916,52.96304838638027,52.611935404994036,54.85768165681593,55.80429997723471,55.73956837355372,58.72329777209012,56.32788068530488,59.2142692033953,55.57108738170453,53.40149575722615,48.68573987515505,48.633151902891115,44.33810414812124,47.01458365306124,44.241979091718946,44.91144934634967,47.40562216951357,45.6648701429191,48.13246439870034,45.362962620203035,47.82753381130752,42.892538676897665,44.08848064565197,42.15574755254471,37.77791765217562,38.792345561938056,34.56717433807882,36.27164621949067,33.703836655598344,34.59102912868514,36.02242493745272,35.71853934580597,39.40543782671515,39.22554686449101,44.222843745511945,43.05533539362496,39.88762248250933,37.117504152801196,33.91441866537602,32.19557794338314,30.214787967689645,31.423988481911373,29.83477923819375,33.190358636787394,34.87015507852593,39.888886295726245,37.50489759077819,41.57665246266199,42.818711646506344,44.828586943759234,40.794024299148674,37.82187516623354,33.95864890514832,34.167522114149236,33.41041115214857,37.149463965117704,38.108340299052,43.210715057489864,43.293508135136044,41.30033081985537,45.19468707185516,43.872773281866415,40.654499227461436,40.21213880232068,39.341169817258354,36.66196546335922,37.1343154808887,36.642254676775515,40.18542802485008,38.701439570585954,40.88842549527507,42.36018157889057,41.19755517694482,41.419878792836705,42.99595893691744,41.75080869073477,41.599058025971914,44.98290682940069,42.11468672689203,46.764710178909496,46.107113350627905,42.500587196228615,43.859822464430415,44.32847320624052,40.90651099990097,38.54780169915501,39.41832394400287,39.317181831856914,43.796941224075525,45.46679948151408,47.18972083786748,48.35451885009985,47.677395418950894,52.59525107204637,51.70811492138887,52.03176675999192,49.852437062591164,45.84486789844797,49.06114857191082,50.75776821103913,48.55894832741877,53.20241853191078,54.00547254433858,57.30316166534189,55.3779921947215,53.62527895712163,51.30937279165782,50.134643657165626,47.61428665965997,45.58525468774652,45.12483052128011,43.84311258094785,39.18485300308265,39.78668485955863,35.990539004398485,36.244418053462475,36.52395305344745,36.1742552204902,33.21910574436195,31.293156895680532,33.07110776955575,30.268092420371723,25.795190179213005,27.937048505052445,30.336776117623344,24.732013695383966,23.175905987425484,25.23492403163097,24.269391974461634,19.6897890996538,20.521690447997898,20.76649277640399,24.96997102955269,24.421127300521686,27.087009376456475,29.52967010931352,34.0810259058394,36.06323518843214,39.16406420899686,41.46174278238641,41.66817470777776,45.1123016021106,44.456231798551265,47.914659874945464,45.28436511869124,40.45292171785782,44.2297705158335,46.213962599366035,41.545892853609736,40.99923085315495,44.988011751220185,42.96542884254329,38.58851559656262,40.55502504638445,36.86741630176348,41.31953939395489,43.454921304705046,41.76220596963587,44.812491155957815,46.37007047203706,45.41084022789691,41.40761499829037,41.23014573388551,42.74597914361512,39.100376015748076,36.17071820019035,37.47582491445396,35.93820192688417,32.17689922118042,34.96288324201583,35.09871103044516,30.72414250228597,30.43548686213373,33.660173945771156,32.82672117150119,36.66546448540046,37.48973060215209,40.1460953833901,36.64617288384235,32.604400385399266,37.01953981821097,36.34240097002322,32.70671638847962,33.44910777456273,38.00135718984833,34.506749092294406,30.65681939154962,34.75865378755473,37.279659607435796,33.37839256522738,30.340234862158407,26.022297688906484,27.298435889227314,22.768901629703834,22.72660401305925,19.442164702315438,22.23670316901057,20.115134598424994,17.597869769780083,20.736041840978046,22.659484773388517,25.482047876256296,27.983751763111695,27.698634024710977,32.071975866277334,30.2106464834106,28.07975604025855,32.991670158923064,33.53860780776674,34.88720184232791,30.451859995626574,28.373694590652377,30.766239166387276,30.080183423875702,24.598051249530325,26.15178777303351,28.469810869019444,28.943191532573948,30.465708034257414,32.423286024386336],[19.27234870280802,19.299741564269382,21.97307681264704,20.043658891771393,25.18066137225417,26.53898680241894,29.603139716244694,33.55675232429398,33.33275245863128,35.23413545684643,37.963398547746046,40.36433682739197,40.398910082337096,38.472098190278956,43.53301605783005,45.057276175613914,43.17925339486024,47.291984348406984,48.566090164011705,51.248130602563386,53.81958949315603,57.07868232147608,57.396288502206914,55.4874271886308,53.35716842905597,49.7519017754083,48.26857883465752,44.99378432803705,46.82781238426678,46.89081094422505,50.50537521550324,49.74668722530363,53.3002736776769,56.974058572408914,54.548417639927294,52.56517334176529,51.36901648198698,51.08647187318846,50.051936927473456,55.26947232141969,51.77217608510054,53.69716510230298,57.97844987595989,56.878316970429005,58.67525291956918,57.44641111024236,61.71536326692795,60.50979766234336,55.852138114719224,59.90126279056294,63.01221980850654,63.687626374717205,64.53520870605081,61.13850712756735,65.33324142649415,66.67113915314043,62.53455088775561,63.68640127059331,68.21403035321369,66.05225229127973,64.00920597199888,65.36526372630564,63.686051118693285,64.97450238336836,62.47246731649975,58.94204802846073,56.20138595802726,53.68524536680308,50.649363120957624,48.796078087479685,47.5989355360902,49.52519621004505,51.93498931473778,55.23181147027143,55.02292684145287,61.37871368315351,59.97293565090808,62.944354889288064,61.61833676167668,62.54642276147306,60.16392631708225,58.984511951411534,56.67552505577737,56.1596964395092,52.93121861619362,52.92050186148537,55.23375181074135,56.503891326885075,56.44379404681893,59.78368530135695,57.45846509289011,60.52280799734994,57.0186697655036,54.972341018322574,50.23002215773553,50.427021337113274,46.09354138157133,48.70201992160448,45.94050630949707,46.79228134569917,48.84054298626935,46.97798655382174,49.12081897739418,46.188564537486585,48.167948778143455,43.264655402288156,44.308921715704486,42.045769446703154,37.791658872086636,39.19510853520693,35.05565430678573,36.667192538455936,34.44703914793613,34.971758230021784,36.68249502449631,36.020131429374366,39.76131188589819,39.22063887122862,44.41874588991735,43.63988581449875,40.47729605288458,37.865448848950464,34.29389920941409,32.67878070654691,30.9021082807998,31.548060822456392,30.269224049561025,33.237447919762964,34.758304128531364,39.733701328349724,36.886716248629774,40.943301164085995,41.97050808900524,44.38353363170867,40.10585693712281,37.38210362486726,33.12665734144758,33.549202997270285,32.87531147130496,36.735935801805255,37.44892043663078,42.533657842890136,43.0067345442498,41.08402892512065,45.06502437593147,44.09060585586293,40.8685180258067,40.77570749378025,39.94751148465445,37.64635346085678,38.21656172224057,38.21046854687022,41.80947194883854,40.830778889751066,42.92358449569468,44.04112746314364,42.64253816704938,42.5939272820279,44.011496956236996,42.381170637935504,41.768573285813765,45.2395400811305,41.92575119359306,46.56766295821049,45.45081105522275,41.53507021537349,42.753067331309325,42.85637825352391,39.4121823143341,37.3072756993763,38.38793694966333,38.631179266996895,43.298387015828645,45.256446295613316,47.266463237034934,48.68988377509258,48.28487946449139,53.12865392327187,51.90060934730731,52.15101747850736,49.599309245670554,45.80979157705985,48.619469673389176,50.05603485646929,47.86274788711731,52.57455188849155,53.48990002590239,56.66719069551391,54.39444646498495,52.48817792364542,50.06128593480453,48.89927098920893,46.30036480603744,44.35511850732326,43.90910410151251,42.53364340567621,38.00267266784924,38.794360026206455,35.08528838440083,35.836757134498065,36.09012045046434,36.23309028697739,33.2425183388353,30.93218572371182,33.03250959962627,30.644210887565915,25.654347267524663,27.842386028508972,30.90438518588867,25.438654658125643,23.56478128678624,25.89880941799249,25.525158821798623,20.74196113415387,21.20400797362481,20.817696668426844,25.30688859521375,23.521559916956427,26.58297021663273,29.299449923592974,33.54476229050663,35.54284110373388,38.48567466917468,41.08295089887195,41.190721308734965,44.67577549512707,44.15226027474988,47.28786442666864,44.469599719648556,39.73491198029034,43.498307300178425,45.08813620777628,40.31390878316039,39.906949749681,43.77090178446464,41.340145762072936,37.01374454319901,39.17422235806161,35.833669923596005,40.678189471713694,42.86348376691248,41.501567102149146,44.811837574675245,46.63600505217148,45.82391343081852,41.584166561013646,41.64094042885599,43.512223539546774,39.833427596036806,36.7627012381574,38.47331216434559,37.19672905817493,33.215508765180196,35.89982873541418,36.44010681220591,32.281018375448305,31.526012651498178,34.64261046398394,33.4170701830332,37.10199729956517,37.79082111103713,40.1371244953635,36.656704124972464,32.58007512952664,36.699385917679066,35.772002719781,32.147650809984974,32.68343278878967,36.97316324656983,33.28286014502393,29.427092039965974,33.38500939313167,35.66615036725589,31.591332917039225,28.54746809086641,24.397333594869153,25.08245576255152,20.554554299221614,21.112396393917525,18.158697050625573,21.540769760753783,20.116493781074233,16.84570838871662,19.643155791810887,20.968623337766694,24.010216456484375,26.95214054915373,27.16870515069807,31.585570613571303,30.071917994571482,28.42838834042975,33.59321157742862,34.32431472286211,36.00892201477383,31.412713162759168,29.471025252672142,32.311020521806185,31.605416471881885,26.12845763422515,27.916762103531614,30.62118177231201,31.24903810248004,32.79055638045849,34.797819199723556],[16.93017625746636,16.220479872826402,18.191848800059482,15.7285299894501,20.554692584336873,22.392686979676537,25.24975852699684,29.379057826661647,29.334270802245,31.02345414427051,33.950440832352356,36.405875956796336,36.06609845387854,34.2943510341632,39.412250366648706,40.765748798226085,38.71668910800797,42.851802630654866,44.11288650960503,46.64187386876283,49.255798097016296,52.40979705203212,52.8098005592835,50.91097681913658,48.674029685115094,45.133364298155485,43.54226483088554,40.30858917029864,42.222817956823334,42.34636601322022,46.22124051590546,45.38516607639138,49.084275164783634,52.66387672660676,50.08128987509544,48.017444815779726,46.75419716552584,46.3390426065303,45.22174540099329,50.37102218231579,46.88491952187909,48.92371933776499,53.1695759271016,52.00343957634329,53.823360726697985,52.586622073830824,56.843870631871575,55.608970474385025,50.93192614208134,54.98816887813587,58.08050714569157,58.74512934975641,59.60445060325942,56.22071505593226,60.43906843818391,61.784234154699405,57.67357511657607,58.87704471152503,63.396218023251315,61.21692946708533,59.25809880244009,60.70497756823934,59.09831981329857,60.43862246524749,57.85046662663723,54.30785868293862,51.7441666383145,49.266336764645466,46.377962228079326,44.650199070114724,43.525755571942284,45.66446788040723,47.93586322679111,51.0811259225567,50.77272487786358,57.113982961245746,55.49999558582054,58.510179112722014,57.04427032026888,57.84902650241022,55.443647557869724,54.15824425027846,51.89556478277363,51.29849577955327,48.0327556486345,48.10615707994089,50.463119224070816,51.83089171142763,51.830113038036835,55.32337238504455,53.1005378809433,56.321186137525075,52.900447145327725,50.89499495743813,46.14477640676747,46.57739771476616,42.22667378625653,44.67093975637122,41.91056902393769,42.93257067841927,44.60022390614694,42.73169301869406,44.62368734850008,41.70102705501902,43.507503387663256,38.665226273534124,39.827743511498625,37.50329760464694,33.32099214737364,34.749202265006176,30.57413525966465,31.977228372008312,29.861608045557784,30.207419772195813,32.070181838586386,31.319508740069473,35.120188864568334,34.57676794392143,39.91827021350243,39.17994306239267,36.10165970402255,33.48796233248591,29.79569280907789,28.08863746057875,26.321615131854852,26.71236064483789,25.62068905367607,28.44592995435457,30.03867782746594,34.995286242248675,32.1914400200474,36.35042584821579,37.23139977140083,39.6234849541104,35.24896857925236,32.47464065362292,28.25238893334943,28.5970459287473,27.959867645157583,31.835555810345888,32.691356649353494,37.78807972114832,38.25222549693026,36.25502349507769,40.21277698548794,39.297019310757925,36.0700534592465,36.07363209918025,35.26627086029143,33.16445212366277,33.870249424320974,34.17497759371633,37.90239764605975,37.39367848373423,39.267654742170706,40.05964704832407,38.443659867685064,38.26181116989248,39.52348768020768,37.75698951863757,36.93915252051145,40.41635082052789,37.01433295166384,41.64846323211474,40.50259495656505,36.62466257488863,37.85559126022922,38.0563041851951,34.62926222877647,32.43234561755319,33.483012772822505,33.68141264445263,38.35684387003849,40.34724092226615,42.405152379956405,43.92238468213659,43.58655921992687,48.41636295269277,47.06312410517063,47.33063858230023,44.69374167003928,41.00316955857676,43.7912246280526,45.21708439338543,42.963918343788755,47.64081555574566,48.54335210739384,51.72538897152124,49.49302180519664,47.602642657175345,45.21262642971675,44.05188003155376,41.509993653452376,39.595459889583196,39.23605713245685,38.02356832465954,33.4451040661292,34.40542932722521,30.848308944355995,31.540144457980023,32.20318214893035,32.33890431345374,29.112236106755667,27.08527604058336,29.56079272250288,27.038910107552788,21.860649391326127,24.63085960355128,27.97390888923266,22.27470395179881,20.722291937354804,23.599641104703302,23.075620718386343,18.22916646067535,19.446858724778764,18.573685093389898,23.767971574882704,21.550540726562087,24.188204463253616,27.344375737869765,31.581689447000418,34.09609946896597,36.641025563289816,38.87631005636023,38.541204794007626,41.82916011342724,40.90624392691397,44.06963142739323,41.529995523258286,36.43404274552468,39.96668725803005,41.76223455756972,37.007210986398576,36.24058988901934,39.989018073782205,37.867647076253476,33.47696126865867,35.09520963904229,31.9126609684019,36.539631158615094,38.94914166673111,37.85862418035154,41.094296707756655,43.23338319913955,42.11930731022498,37.80876293885091,38.35756356842753,40.17663748931933,36.22971593299067,33.433181352790115,35.515582333491444,34.23765505181261,30.234348949890176,33.33312822576539,34.109927890437156,29.946032562013773,29.36278826526114,32.70422049777374,31.227423840034454,34.6820733680699,34.88754226045222,37.37890029286496,34.33780983698826,29.77564489821974,33.67369859951257,33.17278345541712,29.559331916389088,29.48224508334709,34.13745669127259,30.871577314493855,26.49727077352859,30.118904373295937,32.9389738799385,29.18272942791813,25.778054391825826,21.35070802908214,22.71815485978047,18.026208429831957,19.13926471129417,15.28237761341673,18.334669983998836,16.555151657323773,13.064753459917323,15.682119578929676,17.257024112511814,19.93631572298728,23.04748187388148,22.780523419928578,27.172214726255444,25.44220128959146,24.207252924560798,29.492707543464288,30.57754243734931,32.18263473763031,27.382412968004783,25.921206983057562,29.013006955817044,27.86515313476489,22.614746987509925,25.004851160529533,27.86646449845909,28.493130150978118,30.0299171639827,32.10753372014219],[20.7637982781681,19.817187430786483,21.291523618041055,18.232568397903627,22.50054078237619,24.85042280181592,27.246875803648795,31.604744440051956,31.3643501019632,32.505679596655156,35.474215254290556,38.270939023352966,37.43828258507273,35.38025879250027,40.57394584135335,41.95722364383869,39.50535574106888,43.41028447051482,44.16219813059881,46.8309057294779,49.13779755282052,52.23917339305936,52.362712534888416,50.219340404366775,48.249666348649846,44.827434857487745,43.54568412313649,40.56163085046542,42.84086584782677,43.38199028089201,47.23379154967541,46.773948690612855,50.5858567816271,53.90448736182612,51.224707715097814,48.85202321758581,47.84974644127771,46.88218347176351,45.61655900229104,50.70996634012435,46.94805414198061,48.9125375785834,53.15644982822954,51.9158508471759,53.42890146330999,52.03677678603626,56.33696085800067,55.420057045854044,50.7477970960347,54.67435244410166,57.965521345839825,58.88445565342783,59.73243645576551,56.62491408291844,60.92644300178534,61.970027040471706,57.83381185745363,59.31030056663295,63.70715281984907,61.195925523485315,59.253154629216894,60.904684862822414,59.49688788445275,60.501033153901716,57.807293946311695,54.499540912969,51.76912728721372,49.60897740232278,46.5010332933318,45.10418527500203,43.7254535587945,45.76380581670921,48.31240757571211,51.24174563456193,51.29886944913113,57.64546533186817,56.01024632515655,59.272160577755855,57.76558647248105,58.42488359300959,56.28327615870841,54.850148260260504,52.946330261367436,52.16746601338875,48.62651868037823,48.90132757897112,51.06454487224857,52.835322465491025,52.514206449874365,56.32540159872227,53.96678559328197,57.170408696775596,53.913862986096234,52.155752327462416,47.425532516808325,47.94069015483167,43.59870535654236,46.31995449257015,43.759954211451515,45.212951449914996,46.46355387826527,44.88121012535655,46.34092722911309,43.62710424918883,45.12620366378158,40.44739452819226,41.75676745830558,39.220968760170926,35.2429701219651,36.825420833849705,32.65220459289686,33.58243335454497,31.53015332035448,31.312349767195897,32.99862526430754,31.7740566619996,35.42930170603661,34.37355943037265,39.652067071570464,39.40527210536292,36.22916950049134,33.92484695181806,29.935404711299228,28.655869281597553,27.417514925255702,27.627195522181154,27.38106318997854,29.835976437647968,31.55255812563946,36.39085191014667,33.394429428708165,37.64683274091919,38.072098599956405,40.75412089670289,35.9901943325394,33.260504550869506,28.890320798457434,28.939522644447166,27.98923231106695,31.87303614894342,32.04843026783425,37.06018925456176,37.906008510731446,36.2105997278408,40.32563047677347,39.789682624422646,36.63462581485355,37.116316460478,36.63982554357235,34.86709373767579,35.99470441203012,36.529835826096935,40.5050012727146,40.27853978556396,41.8284028897701,42.407254377509744,40.46120643894571,40.3225822288081,41.169313906173564,39.411722855157166,38.03166982035218,41.25794253619977,37.40641271629227,42.04716509673256,40.605383923707095,36.29855268563274,37.74174036360985,37.51188604259691,34.293299797781884,32.14382585757127,33.58433746853497,33.90316174436395,38.818531182541186,41.10360375103564,43.34595251031709,45.202048003816444,44.8646272778754,49.77710751227509,48.05111391088025,48.462298903144664,45.443021523172504,42.21683915761818,44.73151447644603,45.899662546688305,43.47106869969142,47.97315646727533,48.715354516836626,51.82091664336063,49.29003866515528,47.32132177557602,44.951896207600164,43.92465895741034,41.52555054906835,39.86886702610888,39.73788702134081,38.682521223128276,34.240640052383654,35.627093637339556,32.36241081494657,33.413069163524945,34.36964684480929,34.824008733017905,31.44537982189606,29.412487229429438,32.266907661650464,29.938703247959044,24.47761973352281,27.496606834687018,31.24387981142565,25.601866038144653,24.05792823441805,27.139005703071586,26.791271511325633,21.94792775102155,23.13538840103094,21.91222632462598,27.242826312608504,24.19440122350297,27.01488558068841,30.38745966952761,34.34578796376399,36.895831390371576,39.26010943395488,41.64831370988146,41.139606667938644,44.3728029589115,43.409169596496675,46.310256038199675,43.73775665148865,38.63270914454371,42.00998909676646,43.52501012666303,38.71868275304936,37.91418055580394,41.41976012531627,39.04637488016946,34.73082973454912,36.17273660570267,33.537531372285045,38.30084576753746,40.894220417606995,40.23058599410878,43.56472026948731,46.008352715504316,44.81317500228523,40.375301891491496,41.303974745679625,43.241635952561836,39.16364388684073,36.48852646613722,38.86736894580836,37.67236242640338,33.636439354201954,36.81387171888143,37.782224810141365,33.69462978442825,33.03081659735228,36.345965931851,34.664661122971296,37.96155587895302,37.955947565857194,40.28505985463681,37.3952833477623,32.74135179078251,36.320763554862985,35.76697600344175,32.21155040443019,31.771460393564734,36.26082794443387,32.970964747129585,28.51021132409431,31.78798328154226,34.51576991965632,30.709090931767363,27.243680074897533,23.009247199161017,23.82283069919601,19.206486065673534,21.170303188368244,17.575370718726692,20.932781316952614,19.537138933012788,15.556364448519608,17.63452726965176,18.614809383252087,21.20780030675629,24.853464972657566,24.643327162045544,28.941288526493427,27.185361890707668,26.69161450115217,32.08048514137094,33.49085352322607,35.061948857985584,30.11274279617845,29.089635123800825,32.33379706278768,30.799600691379336,25.82510463141102,28.570630858482783,31.425422599882417,31.975950182136167,33.458183554892074,35.48679881536942],[21.601484403584518,19.99534320352561,20.432326588453964,17.174207726358794,20.393262062918755,23.72074224269997,25.73833548911611,30.24252720209599,30.34455770569005,31.104015576101602,34.31662672816002,37.166876759555514,35.73288385130394,33.90406598281152,39.119176006162256,40.229466048070535,37.43732337601162,41.27097790544233,41.7993858504153,44.23678255382906,46.47233706953522,49.3307239810932,49.463727116193915,47.18545435838383,45.1761092819996,41.976886657938756,40.64271446422794,37.88227665425667,40.43014703119325,41.17632696389868,45.43024940394103,44.90022714386434,48.920676292533514,52.04292783249701,49.105130329408006,46.55461569875757,45.46861794313587,44.12392960185585,42.616555615434606,47.45094997552334,43.62887426136892,45.86623577870896,50.00635872385563,48.531318879840626,49.90538944714356,48.31876358155136,52.59808800707935,51.8557288887791,47.08356994678675,50.82166238669539,54.236823183308154,55.225928631167044,56.19726099061239,53.24726646274066,57.65236370186416,58.64614653703676,54.59888156874984,56.302618146290406,60.629637588910875,57.94298879070744,56.22456483963254,58.14404481385489,56.9492028105733,57.916670731158554,55.03028141253807,51.81260194837108,49.34375174436048,47.38515488883681,44.44851362820815,43.373483771874874,42.01831949731433,44.28859640057647,46.7353942395032,49.34869446748189,49.389240410832954,55.674558795579216,53.713739545170085,57.091348246033505,55.33915441948794,55.71884061343607,53.58762197247288,51.87135559495452,50.1091719591513,49.05707425199707,45.41773706600862,46.002415318021775,48.239621993803446,50.28406997851369,50.034918608970635,54.16345541277426,51.96384442074742,55.38181989523713,52.304164168513736,50.66234009331396,45.966999604550146,46.81553926335586,42.50224683749157,44.990307514147204,42.46596189646639,44.11203054336089,44.78816112330225,43.12629339069145,44.169299410670575,41.3803407132043,42.385788613570206,37.84666298173742,39.11511456965384,36.336875227089514,32.58913585602908,34.43635774310863,30.405367873129116,31.074223357012087,29.423431793258533,28.794390973579446,30.78029294262742,29.243378819320586,32.91405141480549,31.60440214025545,37.082411888236805,37.1483050322504,34.108341221184745,31.95974932485906,27.695718025370166,26.45131091669315,25.42059611054305,24.95461321068002,25.139372537952156,27.079004858738678,28.686202320093177,33.36498323533886,30.104386440441615,34.35728092625089,34.48112382462186,37.42064354985615,32.45096267233103,29.92224974188132,25.343841451559538,25.48971019879333,24.657558940779744,28.58163242483303,28.675619185585873,33.62483029364268,34.76331990001356,33.07592285926826,37.18146032802649,36.96064381248303,33.847082941542155,34.65514991315944,34.228672167252725,32.924918514436584,34.18543218068456,35.26531164028959,39.26757547924177,39.69217383861511,41.017350644937366,41.13047181002486,38.91960891857416,38.49393868706852,39.11066601497283,37.00022464748594,35.1487356077297,38.402000303366464,34.1969432527323,38.765926508631644,36.95795982010749,32.47662711837188,33.802453459473334,33.35898802976907,30.15966047501477,28.16128471773663,29.745363358161875,30.307841433929724,35.31818770223585,37.82356526524158,40.29208903136226,42.38263871081666,42.30401329010361,47.089151910061375,45.048409893990176,45.409676410659934,42.08546698161374,39.13220044498882,41.29786430748702,42.25299839320752,39.80293962829078,44.29355888549444,45.111418090161514,48.10995309169558,45.35746632556289,43.31476243898789,40.89449484871995,39.888089716741064,37.48652978897296,35.93286405951623,35.892120810013104,34.917720660613774,30.593315911439774,32.265496783912546,29.27612255695983,30.633791901610884,31.886866097336323,32.67293190991499,29.182794537940335,27.17431088545772,30.45455287856943,28.38937934214269,22.681146603590058,26.037121080599935,30.26182085097196,24.798777924632414,23.37719801640506,26.82545313630263,26.733224179616364,22.02877736952883,23.41053130368992,21.595378942510187,27.24321616304456,23.319985030966144,25.927064575227508,29.643949524258147,33.27475189892807,36.144200346483295,38.06688477207414,40.32231618281292,39.433683862004614,42.48676338666033,41.323882973999716,43.99022729970639,41.547526116240725,36.3194608471507,39.44141039745217,40.82371856541594,36.04006074012754,35.05400449597071,38.31272629783707,35.936779985290414,31.68359052863918,32.7696979178205,30.60034676586796,35.37113405506194,38.13718737692494,37.9293364714637,41.31989363289731,44.13021924228496,42.83000555978801,38.263841561355974,39.69147084073239,41.77954169407343,37.571996625432384,35.070427598044304,37.90434249498286,36.89632101282477,32.82564332932029,36.13387378117295,37.47159871431218,33.61486975054866,32.81875093598687,36.12567205168412,34.09842019976115,37.056680041417806,36.624676044636416,38.81193923456273,36.31968696131203,31.42545702131372,34.542682198342185,34.16375255212812,30.73025586746816,29.685340034691244,34.15742171872144,31.1594879367271,26.428752520933248,29.202486087412417,32.13479235764178,28.57502839599123,24.922432727123656,20.78437087190797,21.67058951133765,17.206303283074813,20.00243809133307,16.240959967026644,19.460088215568746,18.41403637361694,14.10683800955583,15.4360135380111,15.986496540261522,18.219080660998063,22.234477264172664,22.004785635045064,26.13270594089513,24.52245854003645,24.786246211222032,30.22976457850002,31.983032869051822,33.6727211267842,28.632437285141915,28.090005774239284,31.65879000498078,29.871321308515142,25.276004930279832,28.42273184657445,31.49280325343503,32.12501462159098,33.57260864889826,35.6203516964971],[22.105800084858846,20.482951582804855,20.93688242841963,16.596539577600858,19.863084198006074,22.57376621966768,24.04781774827391,28.631047840104493,28.103237580448685,28.392206049096423,31.425774573393173,34.617841367551,33.04498930253296,30.743549483782825,35.958411524215144,37.287829357166146,34.38317318430092,38.02077138116157,38.321740435355814,41.06888417995271,43.132618007410464,46.1986398932519,46.14504763702345,43.89005945287654,42.0824881846654,38.719881333287034,37.68404469912097,34.907044720213555,37.498619642333836,38.48352631901684,42.31083287777987,42.26970289228876,46.20763464563469,49.168363596292004,46.37906212605741,43.68118696382976,42.999214651763616,41.47750180490777,40.14710599461604,45.282303975349805,41.28620371303617,43.040565028922174,47.298414190282436,46.116562540581015,47.45171603272502,46.10451824604008,50.44048217866984,49.64142241444519,45.09834804236409,49.1024691372543,52.42186658810039,53.55292845245864,54.24210222985607,51.33306787435675,55.623366413349316,56.34972284792061,52.15255993842996,53.79280206507803,58.07415273419436,55.34005783672521,53.33732078307221,55.1004697890565,53.85227349342657,54.58799314531771,51.82737393114925,48.70620318928631,45.87102275195848,43.984617042590656,40.768302261098476,39.72347418552144,38.18093437497876,40.25938674442168,42.9232007518725,45.568748505242354,45.88463071590348,52.19217248411661,50.48656616591461,53.97471030326429,52.427021068171236,52.968033167401266,51.12875059599031,49.64616844345518,48.16567178302167,47.33032456970871,43.506387586747536,43.83627541129538,45.711890243370746,47.86607257571522,47.17022397911066,51.286924562877175,48.81809488839059,52.038016318765195,49.00180589628959,47.53499899317421,42.87002119096128,43.59336967944097,39.309226770260295,42.23053605214117,39.96358113004327,42.06337449545264,42.61843330493929,41.553928336255886,42.364804581554445,40.136479194306446,41.4335555895751,37.08249688411843,38.893876053713605,36.34641329678729,32.68863856312731,34.10100846297676,29.873758137553146,29.898173084517165,27.762774953745264,26.80210386978638,28.127161103836947,26.41658533218228,29.867566868542696,28.400800192954595,33.5959763070557,33.74440051760148,30.54383476726969,28.550901168554695,24.30730088118353,23.464356517109994,22.887687041469608,23.030689983775236,24.066225618002818,26.114483164560166,28.262642795486716,32.872774540472555,30.203851329729495,34.680270046644566,34.4779456387559,37.081847239694135,31.927900685791702,28.939137424047523,24.906150689770453,24.103722043876843,22.594497740887217,26.358681680688235,25.947605981437963,30.890645791359702,31.86983258754212,30.447794599958087,34.67549000147119,34.42383850507269,31.382192536880993,32.359558745315134,32.368027549154895,31.006226337274583,32.825663310267466,33.64948745829515,38.025285457105205,38.35978060261023,39.23985736083081,39.4001360562144,36.93870489033271,36.93488775500695,37.11841549444574,35.58048150246104,33.572861213882135,36.32553424646786,32.163418571890745,36.80194071174212,35.38762880392698,30.850149644820632,32.80216125385794,32.49931952123006,29.67466338738089,27.161792335558108,28.900427179537257,28.925471909428197,33.97992148782312,36.42242786503686,38.68599187552045,40.88541885041894,40.36807762475535,45.43138486526384,43.35313165246541,44.065779498007394,40.78100195007895,38.1535835327358,40.65731550199101,41.713174469689505,38.95621188714639,43.06274318080588,43.432469221299506,46.55941013338149,44.03792868783272,42.1457184983073,39.98525938922849,39.15504791143901,37.14985958955838,35.82943658377103,36.13533554516597,35.64805665196376,31.263958250952445,33.249006801411646,30.568837854026626,31.49058977484352,33.376122196004545,33.753618737657604,29.98468188582912,28.743958561546854,32.16153322781357,29.603332687753937,24.230286674839284,28.09986469306416,31.97294183902459,26.20468395728135,25.370523168491214,28.94643553304452,28.19222773932818,23.6525144727133,25.810015731836184,24.24171335299634,30.029372696181543,26.733367810861697,28.871345502679368,32.63415282641026,36.439029958436834,39.53744702745907,41.35763505737799,43.22205012284789,42.09303259584786,44.94590466755426,43.3475109836587,46.21869478773328,44.14857605532482,38.591458229622816,41.44625512083286,43.2170127082839,38.55557193536521,37.13599706088836,40.246669613627276,38.39408568246479,34.135902369267676,34.41395663120296,32.41042676127026,36.5751098962765,39.60633141783051,39.527926802501014,42.59792843262562,45.53859599722593,43.75017231403379,39.342890323396745,41.13427361053524,42.81278911274308,38.33265064387865,36.32725048353963,39.12404993123995,37.834028609526186,34.00791954546893,37.77800424323721,38.89963201357844,34.81947557222887,34.63425910404636,38.1828215424673,36.33324396015827,39.24843465369247,38.545880038340826,41.07994471462334,38.907087478500046,33.71901873010145,36.838243637140366,36.953827128845326,33.549460631963775,32.16350260320947,37.02143840693955,34.447007588081014,29.4252429825836,31.92353885040846,35.34346420974286,32.11258553301275,28.28841881005336,23.99064175833788,25.474833028462346,21.040573187346073,23.804917371546154,19.49741938379199,22.07092205903389,20.187869597997516,16.393001179756446,17.71390414611328,18.801600833702178,20.375717245430913,24.278682338815884,22.98636825803089,26.912938493640027,24.496085997036012,25.15054178984577,30.432161864264877,32.528379072481414,33.61371031340024,28.46850465592421,28.56176864327137,31.83151825201111,29.279946055414204,25.14731269059805,28.79462676347573,31.433416803335145,31.7499035475057,33.092400330155215,35.035500159779666],[26.659117098249425,24.856077260389874,24.81148793776937,20.747544369988795,23.10140292357748,26.64816366021199,27.82211005825618,32.45891691266816,32.14853581282735,32.01065831327244,35.14739640112131,38.45799027900131,36.316041786004774,34.06179092505687,39.23016646239096,40.37918813180578,37.04554423880516,40.40912977213459,40.138424243276155,42.77967396282153,44.49804488434698,47.27734636053983,46.976670691880265,44.38427394422324,42.82900014459252,39.82289944699689,39.02980209882315,36.69853621262994,39.72914982677717,41.11787114966168,45.17367405867197,45.29107263658197,49.389360186181584,52.04862938106972,49.04205084040186,46.05453865167913,45.45903075402875,43.29912867342684,41.65535913338183,46.41493490320182,42.21004888081213,44.16596963332228,48.27283456401099,46.798888038544874,47.709803042076565,46.0028399913219,50.313257863966726,50.002299690190085,45.37822183508494,48.984227963264765,52.599245593074876,53.98088996486309,54.82204986988271,52.30620647577228,56.73611704616651,57.212426841153025,53.127112786206034,55.17618818662597,59.27254792840343,56.13389343408695,54.378091012054455,56.52918593578639,55.62097633715172,56.0521760442963,53.07062718120109,50.250045227965856,47.51270542886908,46.060523051952316,42.82615201432719,42.276125326498516,40.56403908945245,42.65125194265593,45.45585522809188,47.69541567839879,48.294635314220635,54.496626966939914,52.563977600562666,56.28421492716325,54.533266087752665,54.73638251723541,53.084830397938134,51.25065399598045,50.10760950258896,48.88908198368978,44.86039471369235,45.638308983595834,47.457161982533464,50.0752549495543,49.25995596236895,53.78784411288868,51.37417367517268,54.69525723057438,51.91252208578888,50.68705898255412,46.107938451461685,47.062897039682795,42.85528306765494,45.74543222459646,43.60997244631498,45.942286287235895,45.97161379753791,44.9068623268186,45.25418059756772,42.9909113250985,43.65970207358054,39.51655732357121,41.17056803466747,38.27766438991227,34.94190916963231,36.75573634691224,32.77568695341857,32.55677677659676,30.900930960325972,29.41538071722421,30.896358531106266,28.686328050337877,31.95064103196101,29.88401409348796,35.05893572379598,35.87210648072519,32.76288786102328,31.178658375001554,26.64593640422805,26.176562668835903,26.071813948244326,25.522501236947434,27.127776407917228,28.511944181029012,30.42282043845958,34.74588037604863,31.591553933966388,35.933061382225155,35.285723848244444,38.39157696099564,32.949886224411784,30.3869252814268,26.028603377112187,25.36929854594364,23.888433740579252,27.581186168614842,26.492012598924166,31.15461817335654,32.79255883437311,31.67236302539649,35.92533008256792,36.25671004596259,33.36087320120587,34.88106189562549,35.061199116880246,34.24507363344245,36.208120563268636,37.499229318385616,41.85210408543342,42.64438533065391,43.373573335808196,43.18661227926107,40.49489573843363,40.25386688052151,40.15154324491733,38.28222569114163,35.64750418194229,38.29372494404576,33.573865311653456,38.050778149733794,36.001193986700194,30.996443486270277,32.8434975318509,31.85031332751807,29.215395694368418,27.131943298042938,29.292738290844614,29.795663778541872,35.00557121975002,37.83792045197763,40.43312413375432,42.9900981985786,42.76710529804987,47.66506215137389,45.126757702098146,45.80717001545703,42.02906037174236,39.91169204047842,41.790184930164315,42.4154611412554,39.64011840436298,43.64159786308498,44.04776713990641,46.94218068978173,43.903857590469414,41.8470303074276,39.60990128526392,38.88353405255177,36.91520134235003,35.86888178511031,36.310519865314156,35.821210445295954,31.784894190921563,34.127937065214155,31.776915592944007,33.3301101318341,35.22492941504011,36.18160286831446,32.476318751479965,30.89715980809501,34.59663961902406,32.57423530928684,26.905241263230927,30.667285964384863,35.067272635186924,29.645915325721166,28.548746095612323,32.201528972008916,31.97792146652481,27.43170936381968,29.141963775876107,27.151475431459335,32.91317108471856,28.569124776852426,31.004953966333986,34.909725542449735,38.26299139007207,41.29322449292573,42.88668228700045,45.038260204507445,43.795666264415296,46.61556456391548,45.167667571517775,47.579804182920455,45.35540071644264,40.014882772399595,42.728180559311404,43.9579647789312,39.28035548436804,38.01320954430687,40.80621290051883,38.474701821556685,34.42447443150928,34.78141961002215,33.47074351678095,37.95933606354084,41.03342028360878,41.438213575571446,44.72681670468565,47.95023003226928,46.3230661973303,41.74861635552102,43.809249327769336,45.81697305502482,41.384232081504095,39.30888321774361,42.44572628324038,41.42534401170481,37.48684815279113,41.06413101388833,42.51943605762571,38.69339033444935,38.102151335679096,41.471178020019615,39.31290666494281,42.01798588281866,41.187588724332166,43.333647083961566,41.24776814226427,36.159531542468834,38.836471610242484,38.69190718282576,35.416635486442566,33.770526795152406,38.1641291497867,35.482990539961385,30.601703066781084,32.70101226755173,35.75088796221965,32.465417450661434,28.752509387001147,24.93129033822751,25.556455425526927,21.484126146818518,25.00047518331571,21.361473917405174,24.34397967840768,23.316109079179842,19.069688037525893,19.750424353755488,19.892510889140986,21.472441249619873,25.80265913583852,25.125897440488753,28.83331879611027,26.913829924450628,28.23673578539872,33.54217846250385,35.79234263583639,37.15605858405299,32.02461799199707,32.270544205632845,35.8225412582633,33.325679371489784,29.35657065622014,33.02158363873099,35.876747305727,36.297644172800744,37.61345811292236,39.544157335024664],[27.2697419012325,25.391629912753594,25.20013783681703,20.404383620761966,22.488764723033896,25.5550099324351,26.123473156004593,30.73613830515038,29.933256272944412,29.262349838125083,32.22247452450978,35.809798741912466,33.431925868140695,30.814434275726214,35.90744820948361,37.1886583773432,33.707627994218555,36.82497678938921,36.2826258656965,39.16272974317791,40.693366242786446,43.62148416977274,43.150144127615974,40.57340755631081,39.20635573518043,36.089286166739,35.58583084507379,33.303064895861084,36.40466494931921,38.05398641995495,41.74701499525405,42.312248652565955,46.338623236567074,48.788658033738756,45.89337444212506,42.754673113161225,42.533490850101444,40.15414741292178,38.65462699025912,43.63642087950613,39.28406646323498,40.79693195850331,44.98326888338513,43.77136823691226,44.63442612586239,43.15631882828644,47.50373207160731,47.13964017776619,42.75022269676383,46.59058538531741,50.09775551353033,51.6064067387093,52.18323187564378,49.726237613314225,54.037615411651124,54.25850688558545,50.05460472845787,52.05901645880054,56.09162961145682,52.904994121882034,50.91186097548813,52.9424494139655,52.01655156151705,52.228688573974196,49.34621822099176,46.637145863456574,43.60993703628296,42.27138397257633,38.82365071001866,38.38041864270574,36.50403139847773,38.44755607555332,41.41803509737601,43.606074032150964,44.45752400863832,50.637882702717086,48.891154603506585,52.716988519036825,51.12349647292806,51.4343908333326,50.065904076762564,48.42391427801067,47.57299294928959,46.53379463736286,42.34495192121793,42.914578276564264,44.38662806467569,47.134764583921694,45.9138831621542,50.46004005718418,47.837729601169485,50.997869880585895,48.305072075662245,47.27532313214799,42.769390850388355,43.67295307115375,39.54281186116263,42.75497768908043,40.89097941584343,43.65461037938891,43.45718642871546,42.942281580268855,42.99600043474342,41.26798188793577,42.12968718261549,38.22900907170383,40.36447032128723,37.6945598143569,34.51350520022712,35.93353190064905,31.862678326825204,31.00968985720393,29.013129125260793,27.15598869404156,28.022598993362646,25.599097663504377,28.579741844318914,26.306977151648127,31.18225249350961,32.15057499479002,28.948106430231864,27.59706336576612,23.091632645015483,23.081565186860963,23.50874969552825,23.402732254028905,25.85954758987486,27.21112906742722,29.565791394268764,33.72532816352375,31.155819090930652,35.64292918756314,34.6765210262391,37.43642128731311,31.875373139452837,28.934146530132406,25.178535939412406,23.61732205158065,21.504413226326005,24.949404781787788,23.314080410529755,27.905489136587597,29.418938548250303,28.58828996065251,32.91533494873758,33.27245897769502,30.495736840309814,32.230169810153846,32.83784604728439,32.07741646202034,34.55040613689234,35.691344333493035,40.32132117177179,41.148865289317825,41.42274556802073,41.18755250744061,38.24891117169974,38.34593612330504,37.79678014700786,36.42718317981963,33.601956074108806,35.732764585925224,31.05327343142775,35.534180197254415,33.85035647679203,28.835576481016872,31.278024677258806,30.445706454871562,28.225099219278263,25.660982346001816,27.942888793887086,27.92514825272764,33.11046045733937,35.87285459276898,38.27149004531425,40.94012986212093,40.34304514211815,45.44021729476403,42.8428337693114,43.84647044411921,40.105012716011416,38.353095117923274,40.50078464575687,41.20511328790999,38.15730006997062,41.750538059975526,41.72467830779566,44.719424704924805,41.92305426971943,40.02843839304993,38.066933958206974,37.51969290847091,35.960884260094126,35.15270109643186,35.927357452825255,35.92156140431606,31.87906931962454,34.49137305973997,32.47222559564933,33.612305823812676,36.087045628855,36.68432203171632,32.76778697172932,31.903198331806287,35.71479096033723,33.306354973240424,27.993153118948666,32.175991122610725,36.26923612886028,30.675589563639843,30.100711076861884,33.86644541044342,33.120002391220304,28.792385072299776,31.144738539918606,29.308238936904004,35.19211070995284,31.356284210553223,33.33033609664521,37.287142772737056,40.76955534214095,44.04640658575574,45.498718948118224,47.246571531229804,45.748367898599696,48.350635356774234,46.47746996752378,49.064103789049376,47.22347889051537,41.58386303890436,44.01187263825393,45.6190429604347,41.09075836716015,39.40228908848472,42.03176900823431,40.25313117670039,36.22292978803216,35.78356048882752,34.638405710142536,38.50097280130804,41.806367055657056,42.35565778527096,45.322482304265066,48.679066662137465,46.59880109008296,42.19573813634301,44.6245821565525,46.26045040150139,41.60307132397493,40.01508176566784,43.147361079331894,41.91189071944784,38.222966794767615,42.19233774926475,43.496313539407375,39.54253398667758,39.46700047226225,43.026567517889525,40.99621631605116,43.60781860102654,42.48940258531583,44.931349421359066,43.19090716349372,37.83821382530275,40.46291297213241,40.80051946846584,37.576091233115015,35.58915006147896,40.330411449015884,38.091362636423874,32.941137184442546,34.76149150730481,38.290118168687776,35.35913534316006,31.486196401165333,27.516961454710483,28.776951279739823,24.722296777229726,28.167493190800553,24.01806820070822,26.402908925847132,24.727189478848715,20.95822850608866,21.578296647175957,22.1840703579853,23.15556609978512,27.297020608288413,25.68923956366286,29.119741177202332,26.532142274390836,28.267623752010778,33.33205706091338,35.897002681049635,36.723991911262175,31.575884588239056,32.439871338360874,35.72724186835854,32.57321892532664,29.154323668578243,33.22837119273705,35.71090824072781,35.872002920089706,37.06873335265723,38.882942685588574],[23.780365911148134,21.69709344060449,21.241565019649425,16.381819562316295,18.368031443603577,21.497279368615512,22.153569852300585,26.78531505196046,26.225526849926133,25.804988282949484,28.923079207136833,32.318334879114225,30.062376451220544,27.74869741956153,32.91140350064084,34.072961832972325,30.77673055571685,34.195780198498575,34.143616323599296,36.82567949616694,38.72484023831099,41.67336647873861,41.53793897495578,39.18439245392195,37.43716523244993,34.191743480631274,33.27360199266191,30.71680334310527,33.59099953606502,34.921757831844396,38.87130967641687,39.04744450521652,43.111928487409024,45.76838978557618,42.82923105142857,39.885521393778,39.367977310020784,37.379543397861305,35.93096150113251,40.99403451330867,36.84894682941156,38.56215069103744,42.78574870082557,41.56938068823309,42.76793794192447,41.404897397038795,45.75240499471361,45.055013691743206,40.571899130161334,44.57945720758118,47.93130053958872,49.20130333534124,49.82207188534745,47.07741367237161,51.379759602456254,51.906444504581415,47.705917544195636,49.50726534293281,53.69433611341832,50.78784816750282,48.82649408874372,50.74096397550625,49.65924786512007,50.24156086260564,47.37541669949178,44.38991789089545,41.61316877340551,39.962907506400306,36.78221986833214,36.08228059968273,34.477520289443476,36.688579460693965,39.3352751522134,41.67208150478753,42.107855151477395,48.34330645693104,46.466043745557215,50.11253383795881,48.45071208825975,48.82108129122267,47.16474723129993,45.564732256989274,44.39414453642934,43.444539854904775,39.430247326037836,39.88868862776141,41.60532276901283,44.07551921528176,43.188286156390596,47.58537356003886,45.13019663357167,48.437039560806845,45.612038059944716,44.364931982508644,39.78646177888339,40.76979853260039,36.57501915602649,39.475933435023556,37.42072589481315,39.95446907242528,39.86654715339352,39.1025689804101,39.35535215563241,37.43486316974811,38.43718831376135,34.39670268741017,36.50648803079468,33.92997377517269,30.61836718367334,31.955345239665384,27.828151576540105,27.149482731283733,25.140815950814464,23.534453287130454,24.69852701217138,22.550977524272454,25.83513798979566,24.00907028017316,29.223119741888212,29.736000868751763,26.60910981377505,24.901588717776058,20.417822704951043,19.908100101650998,19.911775839409287,19.736298608667383,21.83073359199547,23.357375306903315,25.729836576013817,30.035872547532403,27.59649158121627,32.14265255066001,31.439515679977827,34.00022625611998,28.59921534241088,25.516039967299694,21.784031181210874,20.35296051138148,18.461824086208622,22.10212504511065,21.259693099030866,26.136551601170112,27.2838632422923,26.042232920972975,30.320979387718353,30.362285233160172,27.434319670196572,28.852714801078292,29.204176640918924,28.30850044476331,30.592087595681452,31.776816486312683,36.327456131279895,37.228472050580905,37.613814882025956,37.345238918825736,34.50534591945917,34.48178183659004,34.1586014275816,32.66349544021955,30.109977389698873,32.52398313974439,28.07423172967333,32.65840543769477,31.17808636576979,26.47631233077549,28.75538630746618,28.38937289479366,25.885761164858806,23.142539910665754,25.101208152801455,24.95435233884221,30.077549461234057,32.66244839489989,34.98407832088615,37.46128408667995,36.914022161837835,41.994002543723646,39.608616892884115,40.49760801917419,36.97978156347833,34.84994978863024,37.23694850836159,38.164256133198265,35.199421062447065,39.0094643983115,39.150966222960804,42.25828921059447,39.715580619578446,37.87233679529164,35.857135796851374,35.171488359131864,33.457533971874575,32.40282085484401,33.032134107807835,32.97610518087623,28.731606765662445,31.150023930947484,28.997747739247952,29.85895253520729,32.389987991550036,32.77504247839455,28.82264639883533,28.15729559527293,31.92530279313425,29.355317525711794,24.19320841487209,28.51141377219796,32.44601587238652,26.835124231412,26.47859345767129,30.29522402137205,29.398719922191614,25.233622767090356,27.872494825321464,26.050251825340318,31.969505267570597,28.47539860035251,30.09750189124286,34.05348325415366,37.628503049492195,41.06842825369958,42.44665159049768,43.926479171288044,42.352147526877886,44.88496262841536,42.86005628099367,45.63189888042196,43.94620952506559,38.16129631749011,40.574508505206296,42.475924804883974,37.99750383857834,36.156171228735225,38.90508201738503,37.460415765694364,33.337033072889135,32.735971798076385,31.283928772767894,34.93689724509695,38.24300511884271,38.641214673294606,41.49829370693017,44.79758717392726,42.630059289636556,38.28259367503152,40.70910236939045,42.235014851421326,37.545939332581504,36.04397052923749,39.156284452302714,37.88383678358491,34.2569051595423,38.33192463807195,39.61817245701746,35.68647023102914,35.743717808852324,39.35552644048587,37.36157547420686,39.91734923758454,38.70595855995862,41.29477314542694,39.68548449003355,34.227525364810745,36.898088463043365,37.472884006102916,34.25980945843717,32.20242322766628,37.19038799785084,35.18499674454125,29.895148850854312,31.735727091691988,35.572448672173415,32.83964731317933,28.869207803454355,24.704930169995414,26.598603452085772,22.497479647625777,25.68597229104732,21.15013564597165,23.076959248852937,21.082618679239328,17.638110599470156,18.239967576494863,19.261901575787295,19.971660067900388,23.873170847872487,21.881772083721277,25.340389704102616,22.574107929746187,24.19605479763665,29.236952127568994,31.809598580641676,32.59458374896967,27.44250827019274,28.371955537127665,31.653737967840627,28.483120487487632,25.13565412324112,29.293653573016172,31.794959149259565,31.99731961278119,33.21291716094225,35.06081030293774],[25.392428087070506,23.063820344518646,22.057256461557664,18.12562005617799,19.28366821391467,23.6364748304355,24.51461520075046,29.11940802574134,29.329080890418428,29.0476149391175,32.42882994283566,35.55508875054833,33.004054375268744,31.250721485271708,36.36045696963526,37.14188977466624,33.67849936358685,37.120116791097985,36.97206087018468,39.20630068164453,41.0922381861152,43.61687155337361,43.565494423751424,41.011510141373265,39.160724274335976,36.32608873050859,35.20124594840898,32.95116788208917,36.049411479457866,37.391880172746816,41.957595323019795,41.72092950116594,45.98464914567967,48.58375489553504,45.33650817978989,42.35645064006837,41.47115041545332,39.24389353911602,37.40644531373425,41.912197441788095,37.82532189060895,40.18898236518771,44.18415229891531,42.47852212270869,43.48106282682611,41.66395812168424,45.93955588827308,45.56636991988303,40.79459677394147,44.31391570194462,47.93122825516204,49.205019585278094,50.19641975334759,47.641992866843005,52.144105897359005,52.7911015415017,48.816687948937194,50.930785203908705,55.04817245457147,51.95701826833843,50.452773251840306,52.768444786108184,51.95909586383781,52.61969712254926,49.48222436931525,46.57306708018697,44.29593393035645,42.835618076473246,39.998201920856616,39.58704655074028,38.115735648317504,40.57670105582917,43.017220582616176,45.03621337462437,45.315778568522056,51.43649286127471,49.11846296274162,52.785830068669654,50.76662603451986,50.742353812924264,48.90351613575309,46.836513298735596,45.609579062165245,44.1944327747661,40.22657561017866,41.233599501999485,43.285315377506905,45.94601079124053,45.45186240015206,50.13112372076661,48.01413978502687,51.60902293462427,48.923149879681766,47.65849646555058,43.120421287709156,44.42128271862043,40.261503714828194,42.65983183577803,40.446981260186256,42.728296070301234,42.328804741269416,41.00933081879265,41.11548951134492,38.661817381727225,38.94068355258556,34.88984641682653,36.44734381757402,33.42365083772486,30.281936452952767,32.27019200464092,28.487735284287446,28.160124291121978,26.96673141400717,25.291886480271586,27.25952926712638,24.976356107939836,28.368304570995715,26.370093938811664,31.88207874860233,32.69679541223758,29.84923256848266,28.23002773298007,23.579569968808645,22.839353427890078,22.665374499880272,21.343397335373908,23.06236732784631,23.97089572597587,25.706172106391104,29.869002004420807,26.579255605795378,30.889176957728665,30.117580522630853,33.31669704201371,27.83919105014266,25.45040885879157,20.958486656975403,20.52316008915168,19.381869530418168,23.151075836853902,22.498023348498904,27.2029178523903,28.910156199258086,27.542868361010232,31.685359860680727,32.13359095229201,29.23350954534401,30.842718300393027,30.880582698493082,30.45431648116328,32.336512983682276,34.13337269564133,38.34370799478094,39.732602153152065,40.362314633634234,39.74982709882565,36.9530012920773,36.351504715658535,36.21051962466617,33.93000937330891,31.0617635480359,33.89641189460271,29.032418973427504,33.43878025731477,31.152086451477814,26.206273467859567,27.798343483341103,26.8886954056977,24.10236537225126,22.083491268011294,24.181365073497755,24.87665030664077,30.080522277952028,32.99293248630852,35.739521266731366,38.36397165432088,38.443080159064564,43.13915237915605,40.47014232729253,41.00805513452387,37.116096230423615,35.03296133128078,36.69959515267763,37.25919866756327,34.53989124755402,38.65432883629477,39.254163995890785,42.1031532773533,39.03160339283754,36.94131247084031,34.622598402433454,33.82757984996108,31.761338529009862,30.664243752302763,31.105153744597136,30.681818936932427,26.673247440517866,29.154456952181246,27.03833261525705,28.668519216291955,30.845538123018464,31.941934984455273,28.199337357294255,26.81402175224839,30.770466137245556,28.923891184086937,23.32330052118571,27.332565695552685,31.907535116114303,26.775946837776956,25.944163888146612,29.804628564683735,29.695878016894913,25.49241205092242,27.462927924013094,25.115278301648495,30.975933804220446,26.346778881873355,28.27579146376914,32.36016260607972,35.46376221041267,38.83209004346822,39.991790069766274,41.7980784401333,40.19353453738134,42.77189951955915,41.05187587688617,43.37025987652545,41.406629257207754,35.9124916762283,38.34419240556946,39.66673167051914,35.10907456466683,33.56557045324903,36.17246053605986,34.13625311660561,30.1358818458057,29.984317605275365,28.940977288357743,33.20178048714915,36.39921078639862,37.10737697188585,40.32419916784955,43.790172816121,42.03232476163674,37.44410199982703,39.904549460094564,41.94148651533911,37.44745306119476,35.60576413903725,39.056786830812825,38.18848884021521,34.32926680767102,38.009416935029996,39.72827171371537,36.16704946003447,35.55863157857411,38.89990040697355,36.52920534495579,38.88224648334131,37.649282088250146,39.75148245014509,38.120179038815294,32.846446730305004,35.11690498770127,35.30346242949423,32.19969474036071,30.01375970350836,34.498799510479216,32.30730357281941,27.19124320339344,28.789361091305754,32.216619227793615,29.386272911850337,25.521700876632185,21.770675252757297,22.95130988628932,19.17596048456375,22.99402906303201,19.105722347134886,21.47571315153913,20.580516799981535,16.566392093334994,16.51352516521553,16.538151610808097,17.432280959309782,21.757684575587913,20.819493450664844,24.238938591396963,22.42818370290891,24.35530495295366,29.533538325629106,32.024856389350845,33.45704637259929,28.3825074175667,29.04507138820262,32.78354534027708,30.175566979013748,26.66427193662943,30.555725473793537,33.54770741837637,34.07126511632179,35.34938953388499,37.282059254044704],[29.6004411518297,27.320170430581094,26.299007548136597,22.05368677230722,22.90360494252369,27.13059551663662,27.518239719692918,32.10522405214531,31.974824499340176,31.110372156997546,34.34452599978204,37.76407884443653,34.79885567362709,32.71327988135191,37.71193633972322,38.54758252659111,34.73394799157668,37.749914084614836,36.94137432032654,39.342138430872275,40.76551241110578,43.20887224638286,42.7729684592658,39.951850511923894,38.527650907480414,35.889637220741186,35.258386646255595,33.401982234995614,36.84724705583962,38.67725196063254,42.997510717579026,43.27907355382569,47.542668276078636,49.78124915703564,46.52833223743425,43.240159872095646,42.76123117506937,39.91958741186827,37.99645140212934,42.38928104780493,38.02058934458092,40.11941568275958,44.05263413896045,42.356661170758535,42.939721278447394,41.01278466622145,45.285960557714425,45.307190382015435,40.69351513945185,44.048101953591555,47.826094133042496,49.42411616632031,50.311426929997545,48.1422981352263,52.63684118411284,52.853501714139384,48.874047280503376,51.26259872705112,55.16535810974612,51.70938368134015,50.18257381058707,52.67655573622931,52.103478162389145,52.30852382002897,49.114847058024935,46.56104046593097,44.0566532390245,43.02707479195924,39.94747855281009,39.954215270374604,38.193647755310295,40.44910849176547,43.18450263405872,44.902956461602955,45.65297909830124,51.66866765337496,49.413997125686905,53.3313511154384,51.342396337566925,51.18732871599981,49.75017076384633,47.6110636791933,46.88265975210181,45.35139660420838,41.11482594055041,42.26619577787844,43.9566840005457,47.04475431379662,46.095380349588524,51.040783616940956,48.75393982193158,52.22679776941515,49.778022471788454,48.83988486255159,44.42554463774766,45.75635695094496,41.71143209070747,44.42659050713555,42.5213961150925,45.254152330862944,44.4583950133733,43.58950020248254,43.22838912992992,41.18503532292354,41.23694029363627,37.5191325165254,39.305372679509375,36.24521344412567,33.431119099725784,35.36583461688883,31.681200554869584,30.783854555260188,29.580200069124693,27.35692163510745,28.854935761140172,26.108266135745115,29.077157150484155,26.469297547463583,31.604778579062867,33.04448846708654,30.170324848873552,29.04624467794726,24.30501087099619,24.233808788989492,24.76874911846007,23.504694969390776,26.13735819862984,26.682212174966903,28.572452227666464,32.38851526093802,29.226403710670052,33.4793340123728,32.165953637150125,35.45673299207402,29.74016488131849,27.412581167373418,23.225763526461595,22.19665650049209,20.55761410428858,23.985086380178636,22.254625996648866,26.58265460525781,28.7397720687735,27.909995323459583,32.10583345352251,33.00942235921754,30.341996529347053,32.472705274331986,32.970967925377934,32.86797433695409,35.19800343943873,37.04827093151559,41.44352662461963,42.97405757056273,43.23382361277154,42.48312512443703,39.409814596798824,38.97741477767562,38.34208341158782,36.29677409555036,32.919806393059034,35.22991077996401,30.04054916992366,34.288252490241256,31.817170048386586,26.494492735662124,28.48405550927175,27.058690510389894,24.837763965882267,22.85871557974292,25.405449116231612,26.063705140867704,31.30962683094615,34.43729621458777,37.24243667709177,40.184002292013595,40.14532057401176,44.87651711013821,41.860951975763804,42.63514808115775,38.435149620320686,37.02659740851475,38.430171555477166,38.70799164979657,35.78434806617176,39.45344893534525,39.71831836212202,42.4399975527461,39.125641703943295,37.02995686368235,34.88215616453428,34.33422225300854,32.64792080023954,31.99195145123581,32.79092283722271,32.709305143682826,29.03552692861344,31.922428843377826,30.264497016285453,32.02938768348782,34.49836873652955,35.707452599304446,31.923557076301304,30.745849699840424,34.83899929682208,33.06016929183343,27.55153720725929,31.62965412374194,36.245676092303086,31.165776626258562,30.42251379574843,34.30218453282855,34.146321828104846,29.972745716360567,31.982681107850166,29.623528103074854,35.470415814386115,30.64111667143357,32.61125500031144,36.724157909317995,39.66374921639464,43.01477048418532,44.05162334708486,45.88521372449979,44.15155622915439,46.61337180018816,44.808439967905215,46.91867175708252,45.041188331470806,39.597637081076876,41.788379955253674,42.92416996301941,38.46864771645751,36.84668346931763,39.11693755784038,37.03409154312682,33.25061620891963,32.74140886206158,32.29431702898526,36.37081346687275,39.690874319042294,40.760135224399136,43.91052621734097,47.57452017519041,45.6765509392869,41.12315920118399,43.88187992392991,45.87819147675955,41.31435964824337,39.689494143098315,43.24577394100518,42.37174073019466,38.596797321839865,42.3530102309016,44.09960182587689,40.54445064596032,40.01806699627807,43.36164043991269,40.952747053226595,43.20456724027394,41.82974527311324,43.858585777818725,42.386143471055,37.10650757204346,39.14486764529961,39.36682625537138,36.36337423071432,33.96400275861734,38.269023061627216,36.17412171598529,31.121398852624466,32.368765035708165,35.686664704731605,32.96021473855414,29.181091710872916,25.725669408770337,26.519586625331986,23.00983135402219,27.09436576027847,23.4608792917637,25.87024972915572,25.04528979644554,21.057163394545796,20.84987729986273,20.60804202128825,21.288336764582834,25.66729010049893,24.626225882718582,27.71658329469134,25.80218620746863,28.235372203205646,33.24514634111389,35.94925558987647,37.18024275312191,32.12782068608698,33.149625458431586,36.81129315994123,33.86390338517291,30.673679348662827,34.740981465964126,37.57487297684249,37.961788805101094,39.15466062301019,40.999923987051645],[28.026384062388562,25.538209395730192,24.09953527807704,19.462442620516285,19.664784105263617,23.71517432835297,23.574105532932844,28.08318239442303,27.85648154161658,26.657574214502528,29.888416124122124,33.345018499038886,30.143113192874175,28.0972583966642,33.034382206896574,33.79503307357736,29.91820777724162,32.92466430542012,32.19973740478129,34.569479510977146,36.10820307911666,38.626862275928346,38.32005895421289,35.642508830133714,34.05021328591326,31.275374005049112,30.54027077773094,28.587345011347406,32.006734386903084,33.8664571791906,38.191242141233495,38.51153310447691,42.78267035711899,44.958152159740266,41.7018096583461,38.400097712631286,37.97260688461617,35.14510079540977,33.303885899302244,37.88221993859392,33.520842527147394,35.49743923876822,39.510328450464755,37.95958069218631,38.739586454786874,37.03935838192685,41.359839303325025,41.1080090687506,36.56884896615982,40.22579877506802,43.831807702848835,45.36377747714298,46.09981748941393,43.78069522718586,48.20559619842194,48.44701470924315,44.38412009959062,46.63588250368204,50.600242092814725,47.28000974611752,45.63488603384851,48.0093720635407,47.350284132002926,47.66291632137729,44.50857736270782,41.845404711877926,39.370990798928226,38.24710181143565,35.256374964554745,35.24884916606114,33.579348850572025,35.98248098950908,38.56084330176633,40.26231422737088,40.88606259419865,46.90312464960376,44.61450510542545,48.503645761346704,46.52742118855355,46.43616956322821,45.00313525339361,42.978069532701845,42.27350525204405,40.88697070976004,36.622066732920636,37.60355397447065,39.22269853694206,42.274486414545365,41.27662002849193,46.199758056465186,43.91963063275939,47.42522900537362,44.994665002249256,44.07565195763053,39.69386122307309,41.12165450659114,37.12676078889902,39.77589556542285,37.9614260041041,40.87693034311928,39.854817456113466,39.21187276779484,38.66632475179469,36.89240287423283,37.07640849290083,33.50308722861321,35.63342289184333,32.78303194004306,30.079282988572864,31.687723189665657,27.97632139294062,26.625833137640285,25.29452865965295,22.823314505528455,24.127713086586464,21.295422473782185,24.234780695403245,21.679225186615167,26.911976072751393,28.246261118740485,25.4198677679125,24.29789864726154,19.534699637436383,19.517239479062823,20.288258361834693,19.05702496666816,22.27002377951348,22.705049892908523,24.912527040201322,28.612210760623054,25.986729090953613,30.374364326380196,28.92311561050444,31.82646271530494,26.087043506917563,23.396189821213554,19.715873785078042,17.996832149028396,15.985856880384436,19.35884672788814,17.68107714853781,22.20845554110701,24.100923084045718,23.200697063139316,27.439727823593465,28.237428509545808,25.57436353724349,27.761924069021624,28.435497887287546,28.435932551650225,31.03826875203734,32.92769975322265,37.42640417067136,39.16205054944077,39.11516963064159,38.202964737053236,34.97614416640732,34.64383170638317,33.7650422337978,31.93726196158821,28.47757439878901,30.57433642773969,25.46829326426532,29.786022322162633,27.66256786922404,22.480480493848514,24.85916459874108,23.891547166182853,21.813552495349267,19.270046782082073,21.74124889448017,21.914783409686233,27.141031637951457,30.146216307398127,32.795927853866864,35.74672619082936,35.51531142861592,40.349216821649655,37.3683303547087,38.305209761286015,34.22546734462329,32.9069556427076,34.623444242634946,35.08879801045061,31.990267249788914,35.49068855959627,35.54468231762136,38.42392602096643,35.45216884897072,33.50848545279804,31.531368778039827,31.03454844517808,29.57229605054858,28.950565752694747,29.944367641076084,30.254596531205134,26.46622855302886,29.47419691439752,28.064660976765467,29.336594526087875,32.33311091791717,33.15919090113497,29.216913100556184,28.755054867310754,32.91315774544731,30.80700406315511,25.73473212533058,30.183442096618364,34.466145288527116,29.36687288484615,29.1677928375188,33.138570435646535,32.55658823766905,28.737644809795775,31.34814829847717,29.08330925508938,34.98413833926776,30.724652747218748,32.08139923506896,36.21596285488615,39.25589410755515,42.905072264567515,43.741869498548056,45.062144570814645,43.055277347881365,45.267136459993345,43.01632645925243,45.352741743613805,43.908530346773986,38.15320565698973,40.062648583638634,41.68631774899675,37.41681731391916,35.34134169878882,37.52065786311621,36.1450544398549,32.34673086996342,31.02757916328994,30.566166840472743,33.94989867556692,37.45929356226882,38.59510335203849,41.40431661094064,45.16144615156856,42.85230313938971,38.48226584918687,41.57624184736311,43.22412592224197,38.48784402982443,37.33387051293718,40.907748335601575,39.89001582665082,36.37768582350411,40.46492265612987,42.124189957258515,38.56470669594508,38.479368961697894,41.95824402301521,39.64753815749846,41.731575282737396,40.037730729584894,42.354400978144625,41.28784055698511,35.763784542787754,37.71498720394509,38.484267089439385,35.56873353878899,32.8217626127804,37.521307220540024,35.97361390297281,30.650830165234588,31.630191011659004,35.52848388713451,33.25973942563032,29.318497253081695,25.675737614315004,27.380811243617647,23.90715392038934,27.744528648458353,23.551734715629507,25.16730608548114,23.753432423560596,20.40052337878871,20.030865783116102,20.350197215386952,20.30837451792903,24.312847135357853,22.297700418534486,25.067820480149084,22.567425410353056,25.400941690389946,30.11958802651843,33.09744007715022,33.905256989328606,28.904681517051493,30.508574062366325,33.9716207031499,30.540572149664186,27.950958466888373,32.34108489797772,34.913872052081985,35.154227149925994,36.24691902849767,38.00351798509548],[25.14262990441122,22.313498984553945,20.153590186297308,16.515108879151104,15.840524401212534,21.032624522170956,21.368532006771048,25.79311881368764,26.592850170682613,26.05509321669527,29.6402239371859,32.511862140011615,29.454609050157796,28.330761908650253,33.25487985188136,33.582110040886306,29.989750700055634,33.453611796319784,33.442250955306015,35.164788492994006,37.230521405797056,39.44182936032271,39.690563883599836,37.224926852090874,35.03140648044868,32.42024156421062,30.904878812822197,28.7835075238316,31.930865323515274,33.227322878515345,38.33683655486462,37.71960885354425,42.14064065615291,44.62160845777111,41.1181724434101,38.154074355313284,36.957502074669684,34.641336154326474,32.590674908972375,36.786897574596686,32.857919366994565,35.67268832215038,39.51601830684962,37.569592383842185,38.697599968450426,36.79649762485346,41.01688828363564,40.53495894695703,35.6244497927682,39.076701891333116,42.65977724807113,43.80383180451983,44.93842418645721,42.330712612462634,46.89509897179326,47.726658365731694,43.87980623238997,46.04813528421531,50.177248143129326,47.16274601410609,45.9342486932434,48.412320636288385,47.71491199649819,48.632360058043815,45.34290825792787,42.346747338778016,40.61751573940739,39.16359735251477,36.82400636613138,36.59169648939552,35.421465432867514,38.275253129566764,40.26123358191194,41.99358170910172,41.90774801509721,47.87836359266874,45.13783348143802,48.72657563358115,46.41617547052703,46.13490769543839,44.10476438616576,41.78778415779294,40.49272654413075,38.864817980520876,34.96562678165466,36.226087158135236,38.520703133588746,41.2302154424469,41.08896228179886,45.92139463044572,44.153068434414664,48.03067380186905,45.48904067651994,44.209976437762045,39.775241588450136,41.47088441726186,37.43256001401911,39.24418419451058,36.999224334428256,39.25573261525369,38.295606294758,36.75207159519821,36.50541199390939,33.908145791076095,33.71295650387962,29.842243142789556,31.357506646779537,28.21638665787891,25.390000282092156,27.52049726190544,24.033102212495606,23.433352632202922,22.851482078093387,20.8778148473864,23.39742188943389,21.043952063935794,24.498712570668754,22.63072231496492,28.434031727371565,29.235915160549766,26.776602677590734,25.175834548381108,20.533862251357142,19.500859211725505,19.310775971547024,16.962999359830032,18.965587928186814,19.134655259782363,20.67972337674106,24.552308851892306,21.209147851742397,25.499548072882252,24.492508048181485,27.739147732433054,22.190453310833803,19.97810570489889,15.416719145273696,15.162689722843986,14.495639793146989,18.280093215117986,18.259440597397028,22.923846908150928,24.651025503717747,22.984825607561035,26.932416680349906,27.52343555417231,24.665224568151572,26.400140206878596,26.307555314537925,26.425252576443746,28.255617533846724,30.65926737777928,34.67557674136885,36.79093760901129,37.21731264334579,36.0785001929495,33.143382382110225,32.13924109528901,31.878316555740298,29.155531490358584,25.959358197311875,28.95631778619005,23.94368138986676,28.232276840121475,25.702119540416987,20.878838353384566,22.19519532648391,21.4863085285742,18.537412919150196,16.493351581895,18.49327330712872,19.370656853765283,24.54899929851155,27.547569532884985,30.455544056134578,33.17395521222622,33.58763091174885,38.0353516166743,35.20308509633349,35.605338454837714,31.584488424640934,29.600940411783423,31.04224811385656,31.54238244367319,28.847503874309933,33.05196392474425,33.84022767472007,36.65135982621171,33.60216764740937,31.50752294301073,29.128957358246012,28.269066081838343,26.136498970802478,24.99624719624476,25.500634627572836,25.280603811436077,21.30436525256122,24.03172507327003,22.344779358115456,23.954681116203904,26.630470855761168,27.810393060236677,24.025406143094205,23.10518571578815,27.34157865145284,25.6743810164975,20.42170766154087,24.71174914277898,29.312272268857512,24.651640756105753,24.291539223255032,28.286976774960625,28.208899785716067,24.61105174475696,26.927190054106433,24.305975509296612,30.084717901248485,25.414374567499475,26.564101627557957,30.749093158002243,33.5205375541681,37.27003250930287,37.88046772726353,39.161761821190595,37.09116077097223,39.29959172172576,37.16574363794336,39.39506950892796,37.85831640146327,32.16436022054372,34.14930872317917,35.675729771089024,31.356042511036375,29.370632250286576,31.677631514263698,30.19424078360983,26.317898316877862,25.277544282665737,24.637349207313733,28.384406579243514,31.77731099854479,32.8978211337009,35.92278843769284,39.69201617849995,37.68840537087356,33.15651464791857,36.175002085414846,38.148108917809026,33.577285248837505,32.156973115753374,35.946239872972676,35.232079045995334,31.586507877898867,35.406907854565105,37.38069179037358,34.169955186744936,33.65732989376965,36.94126408279991,34.392884453084264,36.2681357118502,34.50554140346437,36.59303217227569,35.608074000682734,30.14967347758999,31.86627277688465,32.57086879683894,29.750914949307617,26.864393662261847,31.46577100966989,30.0245396748032,24.69526932340701,25.545572364591145,29.49765421307702,27.38549005113779,23.427587523500357,19.893601520779356,21.87424656866892,18.69060288308227,22.569103184092768,18.523679029763162,19.83443733515041,19.00989779089171,15.72930732428556,14.700746836902956,14.7034358229693,14.372258500567463,18.39305636598195,16.851741680938293,19.68321229048101,17.90653300206967,20.760524270860916,25.590704122257083,28.42318714575474,29.81133857453616,24.907240618540108,26.221384198790812,30.052616018306463,27.24130847637646,24.519284858200763,28.64142814586664,31.65028633682111,32.231993606892416,33.41176402213821,35.28397682809618],[29.58003697441091,26.884031344394444,24.932788617025757,21.318736668459096,20.77113575838165,25.9399669463198,26.127927902298655,30.541006606562505,31.154706339756522,30.259646707179353,33.74379016330188,36.82728808805069,33.46082748753125,32.090928706827306,36.93854073151576,37.28538486369953,33.37022633875668,36.44710967376598,35.7755591750151,37.57117691976243,39.165148321009234,41.17530156491373,41.045976670001856,38.229145994987334,36.45874721054985,34.175754629215334,33.116582417123844,31.472639743374717,34.99980058963934,36.74070878312267,41.72872170032805,41.49333677766425,45.9395793745759,48.10588071130704,44.54154660676294,41.29690746240986,40.38540230629938,37.443859892002926,35.198891723864975,39.072654843311895,34.893713122162914,37.65795572074427,41.35638958559021,39.241595281693684,39.84921589936417,37.63467986223143,41.81770289235289,41.896338635381305,37.032892920937286,40.07596525637983,43.949448922561906,45.4230812027906,46.61702139313518,44.48245565222962,49.10727010510793,49.56077726238978,45.801834188410176,48.351525353905856,52.23902514402529,48.79367808297547,47.70505096601076,50.48911890041065,50.10333085076767,50.5889282856077,47.16599241965253,44.55190350418412,42.7184641064537,41.73136293656681,39.206623011605686,39.412580962941945,37.96992469427948,40.64534790166667,42.91527227276109,44.325764391618556,44.6748204415739,50.53084714821554,47.76207341017699,51.59136395896647,49.22481520435839,48.70918746079329,47.008144081118736,44.47609104707966,43.630433811638575,41.733332032445595,37.61648586481384,39.20356399002512,41.25409770619307,44.41205768903453,43.95466283189144,49.09474558457785,47.24254464062511,51.058019859020206,48.7490981424401,47.750745189786215,43.42166597252023,45.16184892886589,41.20736657941852,43.24608012255785,41.216526852362556,43.752612220243556,42.48323573207445,41.163193437515616,40.54030046506587,38.12674611943105,37.51828890543691,33.9394901845401,35.38763053557813,32.063833682415805,29.580730565873893,31.90150572852713,28.630335890069613,27.768840494257958,27.353620607380115,24.982116105270844,27.213296179946873,24.434412257769544,27.501373818680467,24.98580466831269,30.470660076722325,31.957742617816194,29.494697661475733,28.36197332237638,23.597028720529188,23.16247519387056,23.53412750616797,21.160063051403498,23.69319191670222,23.493286628252026,24.899631571282175,28.379390907363963,24.79706386201497,28.826262657721195,27.335446641078903,30.96034859601972,25.246108260967702,23.460108946266683,18.950460190380785,18.58259997127158,17.67110053731916,21.087441846752128,19.946626242318175,24.130920286581812,26.540598760768784,25.410270470232163,29.355843040319236,30.51765661056072,27.90317344136447,30.144342289016294,30.368694369969326,30.813057651869784,32.86365689059093,35.36304303281612,39.426512242327334,41.634041936628726,41.90927672172767,40.67126470362298,37.57415180329762,36.59630824621251,36.016065484360176,33.306731627556154,29.631940008214297,32.262047771344186,26.84428914234662,30.877838546607336,27.842063484093924,22.53360513264123,23.911710784970975,22.303817186674355,19.831511880792515,18.320092132866375,20.859427494823972,22.10318421307595,27.287380234370236,30.60023960530503,33.699724850735436,36.73121252351184,37.23853753095715,41.57182876567774,38.34983595191776,38.82964772271984,34.400196173608876,33.068459923662765,33.93391362067347,33.977660358821375,31.23796460286248,35.12319816662238,35.78562164537434,38.33565699745023,34.775371881255936,32.546411576515666,30.184357827165854,29.519763049601433,27.588778509236633,26.887463086248783,27.61718991879997,27.4687534209256,24.016479390600253,27.06551875143747,25.74988217320551,27.878538052940414,30.44279124108049,32.04643040208285,28.404906660476154,27.18391719766312,31.480270942158892,30.192317147844047,24.79311726980336,28.825309540446693,33.69989006944297,29.204007239559736,28.552662649435593,32.498020338769344,32.720750699878366,28.95454997163006,30.882989819714368,28.13002982841371,33.846937015251385,28.51253802159382,30.081901029643483,34.28258341950864,36.751717868985345,40.31032400117479,40.856221921320035,42.472797754640915,40.41910296935031,42.63541696339388,40.717363575523315,42.5270130358504,40.812346861644116,35.42488803285137,37.305602378161915,38.27383075186756,33.974562110821445,32.224973911664584,34.193887348313964,32.18869522057261,28.591949731374854,27.727044908215316,27.793012443428662,31.79352494427987,35.14477932856475,36.63154818726665,39.806435281559,43.718566986223166,41.881312778691296,37.289119928065354,40.39600338003329,42.58377197951915,38.11003672716748,36.60514504054766,40.50762839592451,39.93384818746176,36.219413129036674,39.846343118356714,41.9513991934415,38.823895569266185,38.05462881772804,41.21149499726773,38.52535476598362,40.34604575421721,38.62261118943672,40.3889842550944,39.35048977748707,34.084878762126365,35.54151234309722,35.91759668023398,33.18708368300947,30.28606895345362,34.367780197667216,32.712252874019086,27.655342451373926,28.25493487812647,31.68538848272718,29.431309118517518,25.677913111038034,22.635484765481216,23.594693655070483,20.70280675307147,25.085499933504142,21.69333146540066,23.587151876733078,23.323032144952723,19.613930281176504,18.519118248683704,17.764610355953913,17.753400655181768,22.043206466659548,21.200923156471717,23.81223718221874,22.455919675369042,25.527369311622234,30.296227103508738,33.130398391290285,34.631957096594704,29.788688158291844,31.065434158034265,34.959750117109955,32.18725118105468,29.428128274841775,33.48057601182644,36.535794218556795,37.11516486942904,38.27756062107502,40.12493168297655],[33.07579609999195,30.470477583255196,28.664402785823846,24.3224563202598,23.734437984106606,28.23859406337654,27.73005724793636,32.073215290955986,32.01703059049235,30.34760240909507,33.53534059299796,37.021789200981374,33.24288338827602,31.329524943250952,35.98964967840111,36.499133308488915,32.233136760644044,34.747443326818136,33.30717579820762,35.44022691043136,36.479283426530166,38.550664880599314,37.939818818838575,34.89320747560632,33.6622574129929,31.45669423823361,31.080918329891563,29.819210288452524,33.67041452674512,36.00131995231177,40.446994296422005,40.98929600231341,45.34103848665803,47.06737358685028,43.62176660403882,40.027664489756916,39.765378846201926,36.17601824772147,34.00599363571818,37.99124228536405,33.449904679247396,35.577529158933274,39.29728300160617,37.43468263787537,37.639788769956915,35.54058247224305,39.76393172075777,40.13001740251285,35.6227600736155,38.748941070717294,42.65223991917732,44.51148810962846,45.36889730916897,43.599042864676214,48.098842117155634,47.97395606981241,44.10008381786709,46.82435274757612,50.48315300003252,46.69908254890539,45.371272588276035,48.18946463957629,47.97376232502948,47.896617667739335,44.51651732638129,42.29449315376219,40.0186329920251,39.48387181421036,36.58978750396474,37.222326817515736,35.42290869525914,37.80178709725905,40.428330172573254,41.550659980937496,42.489065100575644,48.230744245476224,45.68818581234165,49.796616683543704,47.606320273325565,47.09557209905389,45.9648259254484,43.567335231159475,43.365597492993764,41.56567850559388,37.11124258172823,38.60012772542473,40.042887263422266,43.630424135705674,42.45667148080475,47.79440525988268,45.62599873895162,49.18931839006823,47.136367487632654,46.54746369325097,42.38781169840918,44.077217347669745,40.29053834576195,42.8333896812401,41.25570528203821,44.43200456064707,42.76774364508914,42.2435410879486,41.09317784705962,39.45153018409994,38.92061660143326,35.78872778237871,37.80716000304971,34.71964997935222,32.55580870106142,34.43813706896157,31.138803540124353,29.414552918858433,28.637997886610556,25.639380898889343,26.945713473634815,23.66941501472125,26.113059181088147,22.914788050457428,27.789639762331717,29.941223785185475,27.40693399222906,26.8853335092894,22.139354599564328,22.616785811932996,23.92763896313678,22.07382827117964,25.845531165632075,25.495671320845933,27.40529834330646,30.504418870702228,27.630090481360167,31.69465888498132,29.61375573601249,32.899728183943004,27.007422556653527,24.90548171793119,21.31287118522094,19.62863387667962,17.71277356639566,20.541864552337902,17.90766856131065,21.65160891250949,24.378178733321302,23.995765927999958,28.035966055014622,29.58713299154522,27.283939140565,30.084011822309684,31.016366848559713,31.678303562667182,34.43217151561689,36.74853824853012,41.145224362824784,43.361387267481724,43.06384040739074,41.76348407424719,38.31857237525741,37.78275784653932,36.5067680960059,34.454075224673225,30.325687336601522,32.06859290603282,26.487394415282427,30.372728701695483,27.570712073604227,21.976188170145704,24.29788741552043,22.44350953999133,20.95347062564154,18.992795603807682,21.95567090581286,22.59864007941326,27.719478914482014,31.086005734152955,34.00760105552733,37.33932770435939,37.398474605700564,41.926886807952314,38.43205727370621,39.3857765946483,34.80667625594781,34.3005086418142,35.25172074933902,35.177695635740356,32.0521303888758,35.16786078600885,35.14081926079587,37.6762357171594,34.160521632324965,32.094766963173946,30.166761750266932,29.889881563736754,28.70037796669948,28.583204697487098,29.873693129473914,30.404804417067293,27.230636834939776,30.661714009884445,29.85736676891479,31.62548241681784,34.740528955584985,36.03676565673025,32.23518013144008,31.68233318573667,36.02765743029111,34.40459427107623,29.33734388300762,33.65440672833048,38.238074719053145,33.540292930095,33.250466015339754,37.24177862682249,37.00698854721011,33.29648041859339,35.65562976444587,33.11210221094751,38.923576425250715,33.97662522310873,35.38329783922036,39.5827924718714,42.164433523142776,45.80383933177357,46.31125918101232,47.7110282194474,45.49587039015497,47.52754952230257,45.292310182275635,47.14972118807895,45.74842489558764,40.219743587618645,41.79052674295226,42.94963961191481,38.84707596830196,36.792786194226416,38.46123525774297,36.868494123051484,33.44632154283623,31.84751169654138,32.29189777873446,35.64035548974527,39.19072632495832,40.90436990131674,43.76112247433999,47.8125918169549,45.556828232456844,41.162201273155716,44.620371210740544,46.46170670572327,41.79862198368617,40.758959429750675,44.61877013983756,43.8324645390304,40.34662932849089,44.29296553757507,46.22170312284084,42.92830000751688,42.60407200391956,45.9225810740933,43.37756509296132,45.17419056821318,43.26305784488393,45.241793202823594,44.43598328771029,39.0193448524477,40.44102986184043,41.13132714324533,38.44362471207817,35.35554461865329,39.58706269257063,38.19531739536323,33.053732661614355,33.437420659766666,37.05955619245787,35.01025184112944,31.246622789072962,28.177349347258897,29.292860025348006,26.36564947446086,30.6743135710342,27.026461752872976,28.725955561940253,27.917776179001525,24.45220738889072,23.57046501421152,23.18538034885304,22.89808420962772,26.99291561206977,25.394721067414412,27.664052107629413,25.64994063964672,29.1270428684193,33.608655966671435,36.73887714943639,37.66848525180308,32.838333740341824,34.688075509195244,38.278892562934715,34.844161858238095,32.58639195386368,36.97883649545784,39.637744605531,39.92803285438417,40.956847575263,42.659185397317344],[29.741858360878144,26.828960257116254,24.296857641556326,20.288369394334484,18.522177988709654,23.43423483287841,22.664244845134974,26.822315661441653,27.32413938412469,25.744297172381803,29.15531877174662,32.28461920636871,28.361401595783846,27.11522508020028,31.711181374019294,31.851717659705074,27.701613615827537,30.553129000020952,29.730770074317597,31.381747374367432,32.95964298200227,34.92302124590031,34.8730224765914,32.140097216504735,30.242197560928354,27.963785012517555,26.871246331927942,25.354566875497667,29.020382697994094,30.999419266080277,36.01755845144634,35.94802287551684,40.42139086566249,42.31670394852141,38.68942113225009,35.30597106852446,34.552098880876855,31.31999401981112,29.063780783253243,33.032143893863264,28.75762729672304,31.39897544274136,35.129319422022206,33.12286558669999,33.82677569636866,31.81808542501736,36.069322204988985,35.944975682176555,31.18740354190313,34.551491224014036,38.28286381429115,39.79420885656409,40.783443709843795,38.607858132427125,43.168786941035926,43.50760150997625,39.662079555351454,42.18240671746468,46.06264006333804,42.639899443545964,41.463379093898205,44.22325107504906,43.864410519540655,44.3529734568278,40.91363972972912,38.29839748372915,36.56798919953795,35.663339707939706,33.30931231001004,33.73565859723508,32.385088507505415,35.2354341542463,37.289283888046285,38.458061262393755,38.75051453466807,44.4972759187275,41.60771192863504,45.4818738712959,43.07127273269796,42.50919015880896,40.94015780745566,38.44936255812899,37.84412411415035,36.01839742922451,31.746408837288143,33.26392393809605,35.1292264360113,38.450642586323816,37.82861510918329,43.09191913946282,41.272775620032554,45.13658922014718,42.99706970637151,42.16067516575964,37.979025813282426,39.93745008357745,36.159803398912416,38.07729914322602,36.29464194972335,39.21026231327868,37.37175962888407,36.476786865048346,35.33314564847634,33.41710378829573,32.757071649976794,29.582236787735084,31.56543909282321,28.50034340689458,26.412610971348794,28.287342512689,25.14098655962255,23.374930868506652,22.99186284306994,19.991478675489766,21.925012059489436,18.831110014259707,21.62798660020248,18.944001673384005,24.43618631409306,26.077564353518667,23.842088992177978,22.97076714548117,18.263624897770132,18.10294972795845,19.066122268357205,16.429353716859065,20.153383794496783,19.413393817965026,21.225587283594724,24.25290401329801,21.48890732676497,25.624414399754432,23.625757476739683,26.757820372922478,20.886014214238667,18.702674567848177,15.106495708140717,13.483017737933755,11.995970241598618,15.112732783221222,13.701314994556446,17.932943502669936,20.283836629876237,19.219568330209015,23.176416760036396,24.49792223317776,22.033624547313707,24.64137093795521,25.26040414385152,26.149078997776268,28.690200000548526,31.38006800019525,35.55373296795628,38.19882035971032,37.91084666313848,36.31275324641328,32.90759933615764,32.030222512595394,30.90141538777759,28.46491156364798,24.35644242069929,26.49776510203775,20.957858268869202,24.9681676793164,22.186819411212532,16.832263565187763,18.910840577132888,17.72261981229612,15.731488360551321,13.361668095736484,16.071542078792888,16.688813822740048,21.890759628119213,25.194962440774734,28.175972692711483,31.40013763620501,31.701850741729995,36.105096063488055,32.72097565080712,33.4868302535361,29.02212363437574,28.17164170127945,29.26478893751631,29.4100621016854,26.326418866544838,29.799429558332093,30.071548428991232,32.77266853141733,29.540430717147554,27.50083599114212,25.43013940306795,24.945136697460303,23.50681654135444,23.078366545606254,24.289772121533215,24.921236169973056,21.52454345516553,24.941990427897945,24.280746844647688,25.749588966230476,29.187815575097858,30.315402601018608,26.50127598773803,26.405304113929954,30.792944663040807,29.150457500818955,24.51190227598311,28.98143195521324,33.35917999615259,28.982944099542337,29.09990427967058,33.1057918142731,32.77843710372116,29.572090767248827,32.23951774214831,29.640166954469176,35.32381592263236,30.741765378299885,31.477437005894508,35.652294537672844,38.146742293286565,42.065252172620106,42.27426228773846,43.176523721587834,40.70014341752295,42.48593762568629,39.91712885119857,41.92062276204223,40.880431129500685,35.13684547637999,36.469722030664435,38.03794988922803,34.11270830922756,31.69023987259105,33.33240589710731,32.38012601136923,28.92983822119503,26.692094578267124,27.0459672311296,29.875753252069547,33.52838338696325,35.29429985754285,37.931003859417004,42.05696894202027,39.60263600988905,35.31338751470247,39.0271651489523,40.718717941625385,36.02420667080862,35.289605437845786,39.25567173949635,38.52241527050062,35.24194579677719,39.2911886557381,41.30081309916302,38.23953339657815,38.07123911677272,41.36205412070325,38.801951928207906,40.310291562679794,38.08759189588701,40.18247825712573,39.80001997532804,34.265450814631116,35.4515876869431,36.603445254113446,34.08411940671852,30.64268598614951,35.12729997456608,34.31064061845248,29.004280418807586,29.054610603956952,33.19682219793072,31.67117518079342,27.817819200770273,24.716059996404272,26.74147600409367,24.053781001250517,28.06224643196007,24.11790724765568,24.92966388749248,23.953806776020265,21.205132527213408,19.869065256797494,19.79949577419052,18.696126429754838,22.29068524345126,20.05645646953518,21.910816930680916,19.777125768845778,23.691084882245505,27.854038311772502,31.139210593941634,31.997261539416076,27.33705769783169,29.565603917515364,33.13529309017233,29.650674026011448,27.93142674594047,32.39244927450403,35.029801884012265,35.384517062242,36.361159911644016,38.034250578371875],[30.931487814039006,27.921068416311474,25.11439189663097,21.758778369058824,19.60553711416358,25.130517751761047,24.604386356353434,28.659053850847222,29.66625739788585,28.31842381310701,31.84345789374544,34.71914973888529,30.758073872195208,29.927709043976023,34.4318586755748,34.32681670170487,30.211442860077295,33.07625674752886,32.29846848379405,33.56788466630096,35.159041828514255,36.768203875872395,36.83014549419634,34.02892273939381,32.04268019689811,30.12496412563918,28.841146923135067,27.554526930954417,31.230845347550602,33.10380314497608,38.48959385306192,38.06805970594911,42.617602863529676,44.49749907511136,40.69964903476937,37.383042828017075,36.31957398482412,33.04565890559331,30.541879783490376,33.97383586352536,29.87044181388161,33.02545997337356,36.50167191857574,34.121918696614806,34.69411726116974,32.33479938138875,36.45814015086856,36.57215101754998,31.61922215387845,34.51607791771877,38.42290392595376,39.88893283105531,41.19529734369198,39.164707765790496,43.84094068546617,44.31969604719765,40.70684750656284,43.41763186149317,47.220998752284224,43.72841522492221,42.93633262459373,45.95344532169461,45.77850429654592,46.37180651195135,42.780141218155116,40.22151015414707,38.916730749881744,38.10975249958544,36.06213466882062,36.60831142400121,35.40050112159732,38.376664384569786,40.24286416421984,41.23226629044998,41.35830278229967,46.96550861385403,43.79320880021296,47.60462891558404,44.957129379497594,44.117996613723825,42.38309887997244,39.56462180939448,38.871099328937646,36.70199775417248,32.56585317590047,34.494369266388574,36.63475590745935,40.001924491260276,39.740958089220285,45.106844199748195,43.5726569244946,47.605460300997635,45.55257686168976,44.66984516470946,40.54604634326872,42.674704552581694,38.94087251255584,40.47829080210406,38.56989499344542,41.22139960807518,39.24829649002457,37.91856988329933,36.734566133324904,34.40565565944584,33.20041900649343,30.05504332817986,31.55209948968647,28.171091227380824,26.276084807269168,28.63004085881655,25.823014754318134,24.413116267838713,24.648184129235087,21.791424626893082,24.289130671955025,21.320159923830442,24.139917150790758,21.556666417666165,27.074248135417054,28.779085471413563,26.78848741036572,25.911380389061378,21.300768992825024,20.880781308926707,21.5414906376228,18.281011663868757,21.429427954769825,20.27447341439844,21.483387481828487,24.29593028147458,20.86251136531458,24.699898649467464,22.63855821469745,26.296515526837656,20.477637566964383,19.027435569942597,14.87158532057415,14.359027410763598,13.79501908218515,16.795997226738802,15.835332109745309,19.643186476208953,22.295551802177503,21.105672116956963,24.76290611078834,26.310469712794024,23.925820691525296,26.510486195528852,26.813024309822662,27.970295648026294,30.114625133000544,33.16380993501546,37.027951747189675,39.946103568496746,39.86963871158855,38.08472931015711,34.79410897344425,33.50862756708854,32.592142667309695,29.59224131367596,25.38687428729867,27.869840116693226,22.206714990094806,25.936674332936963,22.51207727709865,17.14635440000376,18.384932565889905,16.664577715980762,14.36124176170382,12.910320274242986,15.653949069949768,17.13456169398017,22.20599760293937,25.701144512647787,28.97439796654393,32.226765093345655,33.03521228133985,37.05770713709822,33.52861845207822,33.96907434267068,29.28202283156422,28.445129815722844,28.901468604435077,28.725330458994563,25.916309303736803,29.644403718490675,30.3566554922038,32.79796916085129,29.14513700942369,26.904041142598345,24.549459357474525,23.939485365582332,22.152529665289975,21.68456673226794,22.721925813170348,23.049554355199813,19.93423051958302,23.42344395315869,22.89812753947348,24.96362430983566,28.12174849693858,29.7750153325621,26.190977813428233,25.615677370030156,30.077615071464198,28.98923912938341,24.201266097498564,28.37182405372066,33.09423956239177,29.142180284116886,28.99156493451393,32.95473085425815,33.121743103992586,29.977454205784483,32.22507383757826,29.34765245399296,34.87414745743447,29.669278995421347,30.488523782309574,34.68022864264364,36.78220214020801,40.64584896584094,40.63757711366451,41.69542211052512,39.16641584961748,40.92427851257321,38.55485620708828,40.19173204348565,39.00643043555539,33.511581174495475,34.78062505443816,35.91226407053744,32.00031693007768,29.76349371409395,31.214935093647362,29.88303713979043,26.60436464132341,24.56914552370186,25.367585589584422,28.563349175725048,32.11234431916789,34.14909905670411,37.00972557198253,41.24444647864198,39.098735907784345,34.68197219434598,38.41814805632138,40.4529705320537,35.94876338270697,35.00529828446613,39.174951607786376,38.73205360389311,35.345809899231384,39.08713545068518,41.37535555070155,38.60338668108873,38.01446579801667,41.088145437086986,38.29890988353701,39.61447432230223,37.35811209581341,39.08619811420164,38.758518296538426,33.40831251243136,34.233172050535366,35.15661530079874,32.78986377981199,29.21909437336617,33.27668226640504,32.45486482569006,27.343622339321932,27.065930800865182,30.92115766490326,29.48426530841601,25.78023439029482,23.128251125227298,24.719867660461713,22.49114832860828,26.774496092815426,23.359333322172002,24.273635422849082,24.01478816536037,21.117728094691838,19.32914025161849,18.59274059874718,17.413271343270655,21.108373543805243,19.647702649675935,21.319360204551167,20.01297252797963,24.056086826576077,28.198816179615434,31.371159626365905,32.67183332435995,28.154686345189802,30.159086766816134,33.97537823968278,30.931264620531394,29.110413402083513,33.33185296958452,36.25040034585797,36.810909747534645,37.826964326482106,39.54902506830016],[34.68268775832299,31.733990790951676,29.048992763480793,25.473934352762804,23.410313734602386,28.720790059051616,27.923809191040974,31.925984027462373,32.6582074553733,30.892437302043234,34.259536135901335,37.3335622909689,33.06932618131649,31.9954741491063,36.33959375294003,36.252191439891085,31.867051016795312,34.28602124839304,32.87029357293436,34.20291357007417,35.30872420356129,36.73038983347907,36.42354823623909,33.33657049826545,31.785276055132762,30.189721428149323,29.3965395011257,28.593729879330436,32.57075133819632,34.87975317856897,40.030487375891774,40.0462927024573,44.56471403813024,46.08791784966192,42.28607981478348,38.71138997190976,38.00852452294212,34.1478169665728,31.542205325921568,34.704516294980785,30.37800027799942,33.32006747365537,36.64330161062701,34.20967360928995,34.28543727648003,31.734598681202886,35.804857179408174,36.40813064553672,31.631502071002895,34.218131102695814,38.313516960785726,40.11843404180974,41.364290728787275,39.793189702057525,44.44411873767062,44.49420349699962,40.947270724029664,43.967944125420665,47.51005662493918,43.63943569243633,42.916479668699694,46.1629644553699,46.27065384354436,46.429026435739786,42.757321442807545,40.590123748625444,39.17057920823299,38.822908919919165,36.631777243349326,37.608242970761296,36.17314026395567,38.97346870819707,41.04807183410075,41.69428092154466,42.23001554449774,47.66919029718184,44.509609990455594,48.53118053084743,45.87967961511429,44.856992457626404,43.51068382051641,40.583000824968224,40.394506828012815,38.07713310111051,33.7374094099166,35.8602175217858,37.64933612824785,41.42487749947369,40.775925318539244,46.38423968126841,44.751479960743,48.67773745066159,46.881410631213924,46.30254263423925,42.333546953164316,44.50188100313104,40.90420539637811,42.66119883714856,41.025654450543136,44.01598803520103,41.70737478377796,40.747427364187196,39.156692315895214,37.19307619530617,35.743556080258,32.97074993194738,34.5933177043634,31.226845983685195,29.670797383385796,31.96041309568641,29.301317536684746,27.494708332188146,27.723422183433264,24.496821686979864,26.538038624955686,23.22608833254031,25.563961230495334,22.42831298574668,27.469950916119796,29.801358692995592,27.868775659486445,27.475651422227493,22.888422534668024,23.056751251685466,24.27187155919884,21.186829334577286,24.915720205671164,23.55183331003033,24.82260253350957,27.227852320946287,23.97616480321471,27.580067097576947,25.0545337262275,28.74548929442468,22.905240737555996,21.66180313397247,18.012504974166383,17.017394570066468,16.02810967026468,18.4677267878284,16.36183696449911,19.506339046054965,22.71283175811475,22.128034667264913,25.70084772134317,27.745734634555582,25.667961460010346,28.701741642056472,29.39808001045476,30.82228914502756,33.27828412991948,36.33079348395458,40.29098103829178,43.29265574894962,42.94810529711365,41.06212171206838,37.5850928708697,36.43442200555316,35.11804664217333,32.336200838382666,27.74571551830224,29.681022012682305,23.803453865196225,27.21550455896414,23.56202692916634,17.91560129286721,19.469017081994608,17.038986568483228,15.605316192612259,14.467774518448268,17.585200538110925,19.039456243023924,23.917803492858358,27.56555327133342,30.85899463029906,34.371024381253875,35.11309375377063,39.05836352042343,35.21264611877187,35.84084829849721,30.889121805874623,30.776359089706443,30.86785678024985,30.345123019464896,27.423322296737496,30.60166390095763,30.99863212318649,33.21345584038006,29.24702660869615,26.9939664424044,24.844501252864028,24.51718802635604,23.202651593922788,23.281941675559306,24.659509091068948,25.297500609804658,22.707294818523955,26.428810927950828,26.30749630158294,28.49089981158997,31.73811751908873,33.500206854009086,29.971398493380114,29.464573853269044,33.942797844429485,32.947150917926876,28.204220070203764,32.32984039704285,37.08691492069285,33.16176280740301,32.984187856063954,36.94479087278754,37.12123377990149,33.91190387779692,36.117674569102675,33.22835863958389,38.76224145191053,33.35336938182224,34.309499165960105,38.502901246243326,40.46769972131572,44.26278089616805,44.177444482377595,45.313025072171385,42.72894381307518,44.3988809455773,42.03734334153023,43.434330224081826,42.289551920816436,36.95426795899098,38.025158338931604,38.90206309855954,35.12754343062988,32.92579080653946,34.039216599248164,32.6029669566104,29.606398588993983,27.413314039807496,28.736507706347094,31.782266144433006,35.33544584561861,37.65237995852247,40.45682568601163,44.80450296058794,42.616146769619,38.26630788975787,42.16490640097843,44.19293623699683,39.70106475156691,38.879846592270916,43.09342586965912,42.66598553682687,39.328412955894976,43.06645085818495,45.37592268738572,42.611117005767994,42.02994772483043,45.08447353562244,42.26362359777013,43.521692159177704,41.21287616142097,42.82847968685119,42.57720254445543,37.29237781365377,37.94905715876755,38.81449076611707,36.5305502073581,32.89668652142375,36.6990096613736,35.887612172123774,30.921517191826698,30.4299373372419,34.04469748431765,32.64724725872196,29.0789870808615,26.682466984288716,27.831997290090484,25.754316304927908,30.233945660321478,27.03479762681416,28.159336524763763,27.982214139117133,24.93748590054124,23.20522433826045,22.271313441038316,21.19697492351749,24.930654285835573,23.584655332176645,25.043615611766796,23.751905544013443,27.96721346053324,31.968646523774378,35.221709464503384,36.39841636871214,31.93903665750629,34.09981706457872,37.853795417828735,34.632531771628656,32.95314986924752,37.248798637625335,40.07737961939136,40.555226210511194,41.51891009771719,43.18277516339156],[33.929016810278654,30.954964692619313,28.15195603790664,24.20768329647316,21.762908176345018,26.549575404786523,25.171171451035146,28.985897305501577,29.44065296326462,27.230937865819932,30.453177309690854,33.61233277040305,29.100893854353515,27.949208073736145,32.12649603159127,32.02016391743031,27.523202906175758,29.77973752301188,28.266282898000508,29.668426125212495,30.77351872794974,32.33971061005298,32.05046463882227,29.05645342842659,27.434569579175513,25.66431075847301,24.926137929024527,24.112871812725267,28.15277441997228,30.634301596370932,35.61608461609087,35.870927244399155,40.3457187091198,41.72847321499378,37.981414170619644,34.31626371938865,33.839448756047204,29.849488053430413,27.356054413908694,30.839276207305666,26.372552746508244,29.005473012050725,32.48376908677265,30.29735167265273,30.53309967571061,28.29761274799908,32.501199798810994,32.81294583659156,28.17580273140811,31.24253826258499,35.14988801891388,36.975625552417995,37.9376114184159,36.229726305316404,40.78851222177071,40.73299433821301,37.00484938861083,39.894744836647135,43.49420716988588,39.698072444637866,38.72448328392176,41.81702294979059,41.832689825835175,41.97431771918411,38.366967789118235,36.14471134182746,34.59828738555394,34.237898837096836,32.029466578540834,33.07281884682062,31.648653794266348,34.49302289911745,36.49850080769106,37.09145782521734,37.64503596299386,43.07970454837943,39.98161588715344,44.04192791799433,41.47879430052168,40.57219446624501,39.36213649857908,36.625921695137855,36.59903218466162,34.50271433362469,30.0187641883159,31.891848138642473,33.44832172919802,37.27676836116636,36.38014315258466,41.991129270330276,40.256047073171565,44.129585536154764,42.3844350173251,41.907979447430904,38.01395638597818,40.219738174571084,36.72719240554484,38.55646874654129,37.121208297676525,40.40355970417616,37.86444929283759,37.33623697131326,35.49289119932102,34.00725125229862,32.80407209600353,30.25997023393613,32.39017596609144,29.35361101539849,27.927832376993045,29.722986017462127,27.019329882187414,24.59269900419018,24.58360627683554,20.999828540333674,22.57916943749568,19.07962170739489,21.15873483015951,17.880087264966313,22.8615351470887,25.26161000076552,23.400004245173115,23.194260156324514,18.715983982509094,19.182948185645976,20.850943948875077,17.950567536836783,22.46556328869915,20.998732239335226,22.715235663528592,24.919656000025793,22.491448968576194,26.252953356434528,23.52955177786639,26.630045641037114,20.74472339442038,18.957364663149548,16.210761675023967,14.032208720880305,12.351662076982375,14.438098044697949,11.841353398095722,15.13181561227864,18.213747472918154,17.761185497132104,21.447655826210212,23.502267500376114,21.51804925514928,24.76502952641087,25.826005094855986,27.378346838860917,30.237835591065615,33.19840588129544,37.303660773173384,40.38667838967373,39.65791835660713,37.67782085727179,34.019250460536504,33.1132640879705,31.411530003504613,29.062866015102372,24.315352185907564,25.7780769148945,19.919286860877364,23.41330159040247,20.23713065580066,14.563227428010237,17.01567478819168,15.190164725151462,14.237008828908152,12.079874547362879,15.250460341527585,15.881780405375357,20.76588913818653,24.291308539207716,27.35409428208108,30.940701778056905,31.324347324536646,35.46836779669729,31.623890458150345,32.57023662974614,27.736398103239953,27.884814766424185,28.435659672055134,28.160665398276315,24.910439463054608,27.721408901475144,27.66511131956617,30.12397104787794,26.603517764228346,24.580200642504693,22.75950978493497,22.60171277853442,21.75515955076207,21.981244808333017,23.694968986493258,24.90396597894815,22.187753213379857,25.99520153375115,26.1119838340596,27.61980419019245,31.40534004700643,32.636878876111666,28.951422928948592,29.238472005838975,33.67307814176415,32.23725562939877,27.9931399980514,32.42377820737286,36.72561403312501,32.69305332704176,33.009693455740305,36.98577218863998,36.66021805855221,33.72327843631558,36.458501969027544,33.79649119634909,39.35913143430391,34.66422579874973,35.17405593867658,39.32499191601698,41.51506547443091,45.50989318953442,45.388325743737596,46.07803329104458,43.33123586853146,44.80490621344935,42.02035281548091,43.73201056682518,43.00615248542471,37.36963725582467,38.21473067618987,39.65905398090399,36.068938619392895,33.44174755330061,34.52640354072714,33.85844817297946,30.82090677000554,27.87307439044455,29.02997354907099,31.269515332114633,35.00094083307421,37.27536726882198,39.671992766296825,44.03697256406862,41.38784285531302,37.28676516278623,41.44328018946757,43.03145518102841,38.365513967755334,38.03791766693546,42.147018417795046,41.499764314371554,38.45552031126783,42.524953253636276,44.6328515066035,41.78002499665772,41.70140092888475,44.91216005638764,42.286859835589595,43.488196126125565,40.968282801160285,42.93772127105367,42.974023292635536,37.487933128408216,38.211375362052415,39.57636614128339,37.316026322491126,33.52309870425871,37.75371854085798,37.347349810042495,32.16681553578109,31.625872845405155,35.74806544203451,34.642464654599195,30.93936235392478,28.248694133546266,30.163893167058408,27.898860622440765,32.03057353582985,28.302241425862785,28.870893185104748,28.02641459446184,25.52592582386994,23.9217231680197,23.638036833112118,22.140769749074106,25.451008275693084,23.097147037549284,24.24395629606252,22.21563551635003,26.7025291473876,30.339191106581374,33.828363371070616,34.46033703600611,30.093672189046355,32.79860280683653,36.23248036274909,32.500721298406646,31.41607358515236,35.95734981361361,38.42318377106083,38.69444667539236,39.53822685279549,41.07594926695474],[32.04401608757592,28.886918259242872,25.55412337751979,22.343583815111398,19.017815747001183,24.396295758499853,23.145700643129132,26.75608742297088,27.95509561735021,26.151720977864123,29.599319955862374,32.28827012720255,27.84556879254212,27.45286401962095,31.564871225876885,31.091337758392537,26.847899853786387,29.476650378841637,28.642406336273343,29.469047770071157,31.08534510774227,32.4082418102206,32.669288475029404,29.964938967771797,27.746635562443362,26.08070880409171,24.583156822813862,23.58190006767295,27.336261312473145,29.32847501537647,34.94788841331453,34.43504939795723,39.021013931501244,40.634842437548286,36.68997931519091,33.321048950069695,32.19314174971805,28.654261905588747,25.986126961300492,29.152332245287543,25.09538619707313,28.492134090496187,31.825500018129077,29.314388789398958,29.953519376756354,27.60260931146152,31.717472639497736,31.716316775766405,26.727577433628813,29.696547223090864,33.54579538357465,34.98723884783596,36.28520132964014,34.264123762759326,38.95105255882359,39.44031741558911,35.88335578754918,38.65396866828376,42.42090633751277,38.9490522223315,38.311358932040115,41.43736616797554,41.38140340172753,42.085305835486615,38.401236026707146,35.85217697367327,34.9582698485855,34.26362850934637,32.63214106974316,33.43374328563296,32.450523055762794,35.65038095374878,37.14113219667319,37.796737096024856,37.719477594198224,43.10103440732474,39.64484193218676,43.422972712489006,40.59213070248074,39.546820055264114,37.81153335199319,34.83746909245074,34.30144287031285,31.99808172004297,27.810851731097365,29.925351572955268,32.07602655373779,35.59630047580998,35.43751178490794,40.94565176310678,39.644861981211186,43.81560815104719,41.9768483386495,41.20701948445832,37.2918747734717,39.71508409524893,36.214973118125954,37.3603517707189,35.619795046177416,38.424760745906184,35.851291531162545,34.665664346581394,32.96277097312411,30.883494634958698,29.29785993550653,26.61741991605495,28.343684758637675,25.090777023107254,23.760581802589705,25.8971559283613,23.495511305889366,21.421826974071436,22.110124518287204,18.798192640627754,21.329335598938464,18.243328842660354,20.719528978834923,18.160311682459714,23.59332583110022,25.41140349255752,23.880468092446407,23.256918125617666,18.96452522249406,18.61819563424568,19.606095157454384,15.778954163975454,19.599635375712193,17.642157418596767,18.827010282909313,20.921073860175202,18.046123297764467,21.712003245058312,19.094537048822232,22.482506182113656,16.60206931654316,15.253325432246958,11.977962088478751,10.817522783797006,10.440786598805698,12.77676042367769,12.05249130539529,15.457284759824011,18.173544772543107,16.922760793222842,20.293042261161634,22.1393999973499,20.006335295183497,22.899580110119672,23.374223021361896,25.146705639617206,27.46919604760944,30.871233188795205,34.58430312786083,38.034584644646294,37.56460738979191,35.34943293966299,31.883531556862827,30.450895704075236,29.14678832999874,26.087735596996378,21.423366604253314,23.607970575640675,17.78954463764655,21.259266626578594,17.666965371530136,12.260786308393353,13.693039348365057,12.187690429932399,10.251883308312635,8.330182514126196,11.311765496696232,12.680711316664665,17.62571893482844,21.2242963516547,24.551711933661274,27.997197453316748,28.927047176188122,32.74690097326233,28.986415205063253,29.503753745894784,24.660559974540575,24.33419131062702,24.63149359247708,24.379656095644165,21.37806546282625,24.846148940977244,25.448374956279725,27.90217620388413,24.366357956084084,22.200435715370407,19.974178874466073,19.475337230743367,18.00664908827391,17.80783631260354,19.26793300820378,20.278405303588453,17.47143020189391,21.280079326609954,21.516869629610465,23.16973771658986,26.94456311629269,28.371345899116037,24.842637404859033,25.10260727385401,29.553433189698566,28.446360206416365,24.424999486567007,28.69862755194731,33.02935041750243,29.483320453663683,29.866398953854613,33.76651233400872,33.69380606191572,31.119013246830054,33.73396717753746,30.92656462724324,36.24282054348041,31.50382662663039,31.65236260219607,35.740175070814246,37.66162191658688,41.75117491133733,41.364049718025726,41.851908666606306,38.9616252197168,40.29522083037413,37.455241733818355,39.081580945649215,38.4648999328767,32.849168558735535,33.55723609533281,35.035645188306574,31.549056429653536,28.818365645252342,29.842154278037068,29.372833658648698,26.38975004821933,23.19791816896969,24.459253582879906,26.60315476570807,30.323219307763175,32.723182528392215,35.139494937533826,39.57439368637828,37.03197266770531,32.89951908873414,37.15770423487079,38.87974840408181,34.332930196351846,34.0127902921503,38.27503813592787,37.84232062247016,34.85042869187546,38.75255656068668,41.05911270325987,38.52947242109533,38.26935851920731,41.31053418087021,38.56611279205489,39.4988726911671,36.816652694431134,38.64187412758983,38.926019522997876,33.51895342071457,33.92143236164475,35.41614471612712,33.34696344579981,29.33135865633036,33.46795873105621,33.39373463426179,28.277102664374638,27.39504623648953,31.65549708268736,30.91249274577118,27.286293541212576,24.845410630386255,27.080770836208547,25.230427454163863,29.190875784625042,25.646414993590543,25.716136554622157,25.196045051784278,23.118308507344587,21.05033281793414,20.63165211136401,18.62106124583727,21.534356515260335,19.259134798626338,20.002162963285883,18.463968087390043,23.221019591228877,26.63754146848345,30.096248492813846,31.006368460655693,26.856047853306613,29.561326836329595,33.126748371942746,29.74619991498038,28.857450837801697,33.206790518542384,35.84503364748319,36.30929399949512,37.160502447205346,38.728142575326174],[35.290490073104074,32.132584967278305,28.799634296936958,26.01167582364087,22.83356258486859,28.615453359418762,27.681947953834467,31.28670180461544,32.717693975959776,31.050853319468832,34.52082600408629,37.135349179245004,32.67274671070992,32.37991489862562,36.4242846306924,35.850829444311785,31.56632127068382,34.00493900204855,32.87747469834633,33.49149665635075,34.81631221585868,35.7345292880295,35.83945636495659,32.89914523260183,30.935345430794314,29.774941721499918,28.458518760025672,27.892660759463567,31.752965425670332,33.83220708458266,39.5532641195191,38.97757406682363,43.577103747599665,45.03821338210432,40.990549511426906,37.58441866253261,36.38463511135016,32.58007740880361,29.68446579670846,32.1365855857138,28.184508708579393,31.8808712632494,34.84992662431172,31.967061103348573,32.1318666167024,29.291635111426352,33.17508862652211,33.77804341810308,28.748244318586067,30.913399507047917,35.066481169203506,36.6593974075839,38.28085190141205,36.715994929982735,41.47098179612577,41.851403229633455,38.60607101332243,41.730742495975136,45.2394099267399,41.486082153227706,41.27216253211301,44.75482885340304,45.02427194682306,45.55043026613408,41.71212422615787,39.46735570805812,38.8318527064817,38.46929970727065,36.94190244678438,38.014803138515205,36.974827132460376,40.11306298372184,41.65055481301948,42.0382441371763,42.08942600635244,47.27318932700652,43.63906117029008,47.45956348224519,44.452345627457646,43.07490946624415,41.407839228829815,38.08956724088918,37.723195569052606,35.02041464487104,30.930915721594392,33.52472753272724,35.7263194190046,39.45472326985422,39.41440263921926,45.08477209531895,43.956867222197005,48.17222385181795,46.512613700543035,45.840063664543834,42.02739572893049,44.53598551347778,41.09660110244769,42.11791551703053,40.36980881114007,43.048475879375495,40.3478494815259,38.90971978486812,37.09813195886928,34.76235521372539,32.58556289777891,30.07307812749982,31.26080522772736,27.690294643426142,26.649318829252387,29.27423089586006,27.227949942770802,25.521343229569876,26.631950158455552,23.45666401675445,26.17910733385548,23.09955878013539,25.40545224126191,22.662121092423067,27.795889471220924,29.96733341336252,28.55225084937456,28.10699426860224,23.82449509578092,23.56076539979263,24.472844413951005,20.49150720609847,23.816754367251765,21.664988231958386,22.259115194944087,24.030456915450475,20.454411887919058,23.567958273696004,20.777480010145524,24.8017870705812,19.161412318728757,18.79744803279809,15.148078580623723,15.109123783974324,15.254292994037819,17.290982186229485,16.25584105515588,18.868340758118364,22.102185085583848,21.13991982054041,24.159287240076527,26.391379661144768,24.481172719743498,27.453861647793715,27.788396501198054,29.74513190448163,31.78246196262273,35.38519020773969,38.872372755454975,42.45569334216219,42.15596893002421,39.846089211402926,36.465535884230285,34.77174415178088,33.57872547574767,30.146822019502025,25.388436442379206,27.637983475258014,21.764055550911134,24.720235702179696,20.417710421705756,15.073403521716036,15.533506085068977,12.784593922724047,11.06061034955097,10.967666286998783,13.931171150659482,16.23810008866354,20.717742674132914,24.486127013482886,28.051784952649406,31.567532427000323,32.93948532027552,36.321497546065295,32.32995422063648,32.576236680647405,27.445549901378698,27.452462326788662,26.830124091670157,25.9920366562839,23.360122804563886,26.77507828413817,27.71567946829459,29.680783235536428,25.44726278980606,23.046001964830793,20.589090698779042,20.089143760392602,18.436492943661325,18.517645476431312,19.855937378441023,20.512500471862605,18.427945259906398,22.30929951924205,22.781030818191347,25.249210299887697,28.54369474357551,30.645994370858798,27.43413145888483,27.002225348114653,31.479126343276985,31.01925802372033,26.72031680357138,30.57816774463241,35.338150455783435,32.15162010778375,32.10756381683315,35.94810539512315,36.4309474466968,33.736758612503706,35.80948709097763,32.727853800220366,37.9065456244712,32.34298085660231,32.816677282909346,36.9120200167711,38.36668161581707,42.275642908192715,41.69673008891678,42.5282786054365,39.649964135864536,40.98858986152476,38.50746048891049,39.562940226477146,38.680872237423415,33.518070489021554,34.15257063217851,34.874825692075746,31.42584077227535,29.06992901707593,29.731907091408257,28.56266620183557,25.939809337005368,23.171656327481177,25.185620646655465,27.87356690804587,31.38553772380759,34.15244429551063,36.870037120680834,41.405773626247516,39.29599427971312,35.03283548712378,39.237508910044085,41.38766333536214,37.1013491333894,36.47121786112933,40.90928482664062,40.78365690546719,37.627840085188296,41.1417459166695,43.72588105470478,41.44073830339993,40.6766597474059,43.47605831059972,40.48349633361914,41.27206892203841,38.651462436128355,39.97714742616942,40.21456241606499,35.10068009249765,35.11579739487895,36.17704956434412,34.27132643089686,30.22697250722482,33.67148223561044,33.43415396973988,28.6779061268143,27.443287106185288,31.094981041666152,30.343198118135877,26.993752991043383,25.186633138954747,26.52569266324259,25.20135945169043,29.571606320917176,26.75323192246032,27.25540053284335,27.54848866422215,25.04721373764404,22.69649888358993,21.443103993766126,19.661054806872386,22.829655827246228,21.691066111582924,22.359956183053907,21.783561662562246,26.44741092976869,29.924136034630454,33.190019799539705,34.5768221903983,30.533644022217057,32.87405045386775,36.68671947594819,33.75365273294485,32.56913309044685,36.66985049544735,39.59230143067365,40.23428767663156,41.14203025721376,42.7639686911983],[32.86889267427907,29.748866144593762,26.540905118121763,24.02829903016086,21.235231407941217,27.274343971941565,26.8721824955997,30.6592997480316,32.261857067064554,31.09792793835001,34.70685683831347,37.23587826611062,33.18294457687732,32.90712879715825,37.20843299076958,36.75906707702977,32.7099735015565,35.540191240835775,34.84602244866218,35.590297283081405,37.21512030554684,38.35904198306463,38.61330877684347,35.80430588865528,33.669537063085116,32.2095421644838,30.661669187153038,29.671585195063763,33.30546680184766,35.0359650144697,40.84508306269711,39.98566645446498,44.59728652112269,46.4109736350394,42.41349399050812,39.207628984301884,37.765281431516065,34.46640770373845,31.690197160590504,34.397442061421295,30.59387255115429,34.355410036466964,37.47002370951604,34.658138492676215,35.1115701607697,32.37926309826806,36.27732695653886,36.62680263102992,31.49484331815482,33.790921396425034,37.84180105371979,39.2027084840594,40.898377455706054,39.03392117987782,43.80930265817442,44.488223775667954,41.19756246916917,44.10398029896204,47.793204967703005,44.275155396321296,43.978712684403924,47.28310391039459,47.3307614518947,48.09303822177175,44.33731783709651,41.84120180060485,41.12413457114315,40.426424684774496,38.82614442396416,39.5248426010253,38.53811769506099,41.69255930057441,43.25639798608367,43.99586663360628,43.867197622226904,49.24969456048904,45.71038372985962,49.40448973671038,46.46030230621162,45.27051713365114,43.329531679747454,40.123484654045484,39.33147853663501,36.75521309127915,32.84856020082896,35.26518671296757,37.72608878512333,41.11546317194736,41.32313278360517,46.78036738876982,45.639764198188615,49.879039772214945,47.965032173771704,47.040325982608486,43.04066458763718,45.409689413308115,41.78562144237813,42.79377613334522,40.777724620940425,43.12430851388143,40.89998324529315,39.08739450837068,37.7797820203812,35.022658826696386,33.104827649163724,30.127757891579833,31.033733114362008,27.338719566693335,25.84200637025643,28.70021298617763,26.44732708677887,25.370548304179056,26.391937528840085,23.68494962047393,26.757277854130567,23.965523195572402,26.722641514076393,24.322100199768098,29.79629842296411,31.533046924719702,29.901418883057787,29.04799343486241,24.636287772392052,23.95618296528868,24.344851777606465,20.41493074151312,22.96108726514341,21.21534058934372,21.654800948873927,23.981258960999742,19.90202016404236,23.190099267137185,21.007407312633227,25.212746780164483,19.643589684467134,19.19754696653827,14.733562599311917,15.489811090044523,15.962487810254913,18.616587053910262,18.252582136958054,21.46216616922303,24.327030798604465,22.988221595736395,26.17425828608214,27.963135833662463,25.746058006409683,28.285561012574526,28.24101103587501,29.78980930861902,31.473375201938367,34.96859469791566,38.39850134310314,41.72491270021428,41.81525930193242,39.74098639084229,36.58496948653042,34.80698253667923,34.0871020003265,30.455191960192504,26.15473969012997,28.952835871955596,23.27954971910138,26.546803200189338,22.436674854545863,17.328885028265734,17.428531415078798,15.164719110454916,12.565489326157682,12.472207822930004,15.023848237138429,17.475412748967475,22.135856921319974,25.763208237887056,29.3219897677182,32.57092302209046,33.99887041330707,37.47496641568317,33.79247756240629,33.83111110406242,28.939097002416894,28.196557818229213,27.81833192906729,27.226756829966163,24.818928572255782,28.771845360269573,30.027568258033835,32.11343575619532,28.024869692340584,25.607031087820992,22.939539863416293,22.183681393790447,19.984037990069833,19.4893785517866,20.30703156014018,20.308860411700692,17.742569216843062,21.297940596241318,21.146931391439416,23.873806293816045,26.733165001057,28.992779150540724,25.788493221651798,24.80586497718996,29.274975956691186,28.908250437769652,24.22970722151964,27.95431990053334,32.93695054239906,29.678468904427127,29.341629638994895,33.17285257739582,33.88297131938361,31.011859294026227,32.816599498569104,29.660115775261534,34.84834796639517,29.055766058109683,29.77422845389252,33.90150731220243,35.419728367542206,39.23362564567832,38.83739344635937,39.93931752449559,37.26334629666367,38.861268110273755,36.65754133805479,37.79375367660333,36.564191449232105,31.421160790785326,32.452706328969036,33.06763596136067,29.31356075876765,27.2331074723904,28.299714546704855,26.661614928088692,23.738155355041208,21.730224461493208,23.26081461036478,26.65477739445088,30.049521561162216,32.506390536998126,35.525539804357486,39.90623758911363,38.08747767393586,33.62100014485698,37.46427679669735,39.84246265678645,35.61827168384969,34.568836708335084,38.969867325373144,38.89613387744991,35.51243402949204,38.8676894799654,41.487495938295226,39.160859165006976,38.14148491119499,40.90518810992214,37.864568811298966,38.82129232380556,36.43595768753128,37.69662911112322,37.60214776450587,32.53521142495967,32.76741684139792,33.52927455588092,31.472881959828534,27.658328522865208,31.10844618890951,30.498730520473647,25.720397963133884,24.821391332420927,28.34435987291876,27.252716526064365,23.834214187980468,21.925571349613225,23.090783532177625,21.670004381292436,26.112883784220415,23.42370081815878,24.19253245972516,24.762546136649107,22.000997524720898,19.629254080004912,18.147632465364996,16.661542919499947,20.140568596835877,19.541150455561088,20.698585736930696,20.432237791844546,24.663191640923987,28.523201096717166,31.565740943131168,33.303134932734466,29.108575499551225,30.971881883130706,34.97162284918868,32.41325029982367,30.71458364367929,34.62797478982469,37.77594582348434,38.55506514963149,39.57301534955442,41.308892559696986],[37.902549928480035,34.88977639702116,31.96168894430558,29.042551763292956,26.61564890132549,32.40446314682238,31.775995128742817,35.62159453563947,36.82185747722023,35.203309173627176,38.64918023453217,41.481408074429424,37.11692522023086,36.44747230296893,40.64151985999535,40.28043096738309,35.9018295884126,38.22337296610609,36.742633931097345,37.6288676848705,38.63118113655034,39.55984705248821,39.31104507431469,36.12670335261675,34.592055480910716,33.52722282012257,32.62639599292409,32.19715521678791,36.1972053466729,38.462835763848055,43.94439651446513,43.657554167180194,48.231622292401156,49.635980291299326,45.65323382663495,42.12205110542387,41.15198556487485,37.14117017972367,34.26100463610783,36.64707725142184,32.559992047711084,36.013145145583195,38.929441345776866,36.057364013946284,35.8274701809498,32.824173256516744,36.61349849729127,37.66375520043081,32.791426172405465,34.60238763253416,38.90691436713047,40.72896817428884,42.351727855917176,41.134492242135636,45.86327431036929,45.96671001225088,42.78264811766472,46.09487541315056,49.42971256814863,45.406713256839815,45.20437493915437,48.801921905478686,49.21088104070597,49.39136355976141,45.543388218730726,43.563972531285124,42.65329984132453,42.52646639344775,40.68388726181486,41.88263962105988,40.57631151626844,43.4772629590814,45.36094960671218,45.715329399941204,46.13788122284462,51.33797536090722,47.85525070337762,51.82497611807541,48.89954343548331,47.494374838594446,46.061227512157686,42.73159309241129,42.579628943724835,39.829407521912565,35.67210614268276,38.30926468998315,40.31236007942923,44.208376367425466,43.90053585963769,49.65010587881725,48.3472374911933,52.43074908365756,50.81034722403042,50.25380176957004,46.40704575120486,48.778933582383814,45.274281287851245,46.63844870865245,44.935113134564105,47.7014401346078,45.1523419154852,43.799968616798715,42.05907059232185,39.74384201786258,37.60017910749474,35.03073076276698,36.099034106645014,32.43770793589617,31.270162150283177,34.02709270031944,31.849329475252333,30.34006938735078,31.213824810155057,28.089111562159886,30.58240226784177,27.366429652013984,29.618330676763335,26.545932634542073,31.458205682521015,33.941993641031694,32.302168429255865,31.984746351893126,27.52309923469751,27.524672859387188,28.541012581117894,24.927266002758948,28.172837901055818,26.360391535472164,26.980504860195197,28.937759313784245,25.109343920573757,28.125290081797324,25.442206242936034,29.649178119230204,24.09287656651577,23.792870125204345,19.909814353413136,19.933804148004846,19.73860549097524,21.8931603090109,20.142509770023704,22.60239855623126,26.11781793406911,25.523047851633045,28.65615106236799,31.017140001549333,29.128783194732545,32.18787869003954,32.6286786361463,34.39387269814515,36.47972179201087,39.90671334763031,43.51881789107168,46.848036093210794,46.661173264507504,44.53805864755474,41.160154055033125,39.59479830013847,38.41907353916337,35.09766686425579,30.37689061248283,32.51362379080926,26.5861022748377,29.50550450147158,25.154515728002096,19.72066085331768,20.248035877927702,17.041505512433424,15.696710180546084,15.936503990307576,18.921650861551893,21.227799259700177,25.676376952016845,29.468775914580757,33.02820183188665,36.581840092521446,37.88573334413655,41.30800138737035,37.25338473182287,37.53337545389346,32.33226712817371,32.46415159935031,31.661197354691396,30.624215062472196,28.105254972064895,31.32497937997653,32.17537535779959,33.92827774314887,29.421487458773022,26.950464993126886,24.55996676926049,24.199885642562244,22.65595130279633,22.90626079379526,24.124802412046428,24.469027249476262,22.614913873802635,26.349826739562868,26.58497598053473,29.43565606777797,32.300164574032586,34.67842753096487,31.521846067665663,30.527794354226618,34.98290300245188,34.684608572371516,29.92984472725342,33.599073200555615,38.65949300088253,35.31299601536457,34.85385642100375,38.692714583671446,39.42617497109319,36.33849985384522,38.04287570753828,34.88339323899568,40.12468857914769,34.02711992959675,35.075217663530815,39.19871923845947,40.58015112330383,44.22545785137381,43.81474247190902,45.139071805746916,42.48754515432153,44.042611065772334,41.959504441628454,42.76639997050783,41.4882005712486,36.638641387176264,37.50419746559014,37.69413093477078,34.09613649246245,32.194433821580056,32.86159327211193,30.931598119372595,28.409246690674827,26.45503880793337,28.548331324193096,31.8643588718393,35.1998527861999,37.926640910007606,40.923868976546395,45.388402999875616,43.584941313437355,39.18003758051999,43.11705670870291,45.523606799280934,41.31891960657961,40.32440272882526,44.740326486458734,44.66647895895965,41.27627609823108,44.61001385009453,47.23333401479482,44.850204424140166,43.799507560694984,46.551113639846626,43.480157485923655,44.44912846080622,42.096488719694214,43.197272850957845,43.07308653864428,38.12657942603278,38.2471143647322,38.811656387118056,36.81164806701375,33.05987511845563,36.126805456809215,35.36926268075577,30.84559791929516,29.833397186489734,32.876456041648424,31.69388157080418,28.50011531477341,26.883897431160726,27.29649984685438,25.976919735527446,30.683626345736638,28.28911914262368,29.517081304867897,30.156901352401402,27.039647870690523,24.887215054614284,23.199692261276304,22.090957114359888,25.729128929413935,25.31515222355779,26.416468276895998,26.06262862099168,30.366821244096464,34.2010752053635,37.30615253230449,38.913148031518034,34.70153119931913,36.655803136663636,40.61291069034992,37.846270744991415,36.14345051377294,40.166264563972916,43.247253885264264,43.923845848601665,44.90457966358684,46.5968821864232],[34.270677272864106,31.357225657072373,28.57485582812849,26.691238208130873,24.779933886262594,31.012337592273425,31.391053479762032,35.32294791073842,37.10364674753702,36.49746169034072,40.19201471841194,42.64493168563556,39.01691272219737,38.69534849071831,43.205382574095545,42.87862581071524,39.00023244027118,42.02545140926802,41.45088472788081,42.275674171019055,43.919246026057216,45.05426958125891,45.260207975780396,42.37285892430222,40.33435166351842,38.90011005091898,37.36359770865138,36.28106301632035,39.817333577576285,41.34665119346807,47.199372394437475,46.14007738984492,50.745088263309846,52.779560665019034,48.799001430514544,45.72033211940861,44.09875162026012,41.044631218298655,38.26311132334163,40.79673387981384,37.14063436017303,41.03514196341729,44.07260335633133,41.13285279288973,41.47591375015045,38.54499130063445,42.2952327461395,42.866944261739285,37.68861087494288,39.5617088853377,43.70016163880908,44.99179018012475,46.9238176560656,45.16191183278206,49.96440021162432,50.77120121950441,47.63795873962778,50.589983747426466,54.2470165972973,50.71549509244472,50.580618421660155,53.95062913645918,54.01635218866997,54.802203399146144,51.029024534012535,48.54604646471382,47.8172816526402,47.0643183900915,45.36290152724847,45.91096358905991,44.86559286493346,47.933088862019034,49.642065662770754,50.54458504910644,50.42973056526329,55.89075504274044,52.383611894940074,56.02885094860711,53.06877439563949,51.8614606027409,49.77810630811943,46.48718940094012,45.47470643986295,42.79293570391328,39.10119251122206,41.61474123194947,44.26107272610286,47.50513014722956,47.919150470293495,53.29013116051033,52.18318307315583,56.42791723636048,54.39008879819234,53.32046338422608,49.20327840844484,51.44047833965864,47.671446668352175,48.70032993061867,46.45634727373669,48.428770138261825,46.64563056246151,44.38671500594046,43.51810751693047,40.27319747392462,38.303440529604494,35.03827967414738,35.32092650045248,31.407635145566616,29.66400961260021,32.96287618798176,30.745876362903374,30.514357688873343,31.57117691697783,29.388971735964677,32.709611222087275,30.13252948374622,33.124389831784036,30.814109790355825,36.35389815020042,37.99270948183157,36.17931348710339,35.118602190161,30.593002193095653,29.711824882472225,29.672396059521834,25.929429262598404,27.488357568609093,26.177456537182596,26.17958530048796,28.774579586351305,24.004686544889974,26.913620448210118,25.331976809979697,29.918986823940067,24.77950848922793,24.76903657110014,19.744772357601782,21.44361906203577,22.185146493065727,25.106496603285986,24.85514355346243,28.117875835152407,31.020559139535226,29.63483176019531,32.81902448654167,34.4780891576071,32.14298543459437,34.384752745999656,33.994329581480734,35.205594141604976,36.4105019049232,39.799362523661365,43.0334927223667,46.056435872459886,46.66643612073211,44.84596123606789,41.9826033801298,40.047099427055485,39.82587324407613,35.9056236584894,32.02386365326467,35.22638379789809,29.708003498306052,32.943830442496775,28.677267857763397,23.79318294303934,23.289447964804047,20.788195420325238,18.00578679789247,18.6803185310347,20.86372680618665,23.679042650062165,28.157349141768574,31.702411834627426,35.325016755672024,38.358946756013786,40.03218251707476,43.342746785267494,39.819456320724925,39.54227610414371,34.74268643804503,33.58987758354155,32.88563156421751,32.14472307798419,30.216917748023217,34.460758559086756,36.11292449769414,37.9673105747809,33.626960421575184,31.055783737288657,28.18512616331481,27.271302036398037,24.659058115796885,23.922631358943935,24.130662316804276,23.203743122155796,20.91523515749361,23.848875861142723,23.120843173201152,26.60169223671439,28.37301442282699,31.24969074362211,28.4214410233564,26.238977805029,30.482828749022456,30.736473696494404,25.515947372014306,28.519171935275832,33.976823541564144,30.949394881148628,29.83138654503502,33.460011080860106,34.90067660901725,31.694956751591643,32.57979992277804,29.214690453971258,34.145169984653215,27.398383365820724,28.9026013876081,32.93779541245765,34.09504101787306,37.446310494020416,37.208403535951014,39.08476595121276,36.82506325243611,38.784133153522646,37.37904792246276,38.071345497306446,36.107981060454684,31.618178001364885,33.11617549517954,32.81800759250247,28.798974814879656,27.61687149438028,28.849747831122777,25.87089010210527,23.05436360151637,22.781773701082464,24.21287727927468,28.80993433505847,31.720386640743172,33.9768555181596,37.54096200458921,41.68045553136423,40.619221617634054,35.92092213342309,39.124966972192134,42.076632795110456,38.221545886475944,36.413692183465606,40.765818184948955,40.97499657047142,37.23443073419476,39.9889161173314,42.79503397252907,40.60761500251558,38.86559115163892,41.32956132013389,38.09887511557522,39.19408109148431,37.29296991110648,37.99918128431566,37.33647498119515,32.76475375784783,33.00517474241633,32.85457634978556,30.77012408397512,27.500903906353095,30.12033193040181,28.69984507843074,24.499482195677373,23.89860491214073,26.308726832593834,24.591679033080762,21.552809903485826,20.26974314648644,19.85968196533419,18.883404079703606,23.715012636777452,22.16208209369873,23.875862244756544,25.4899205552859,22.053624019008854,19.7221267340452,17.22094021221403,16.789147485217146,20.668244427910043,21.79662882856698,23.47083254416275,24.159256894351095,27.542280199738425,31.779698845391486,34.31169702919574,36.72392305491944,32.51634565419054,33.46804724455965,37.75029486540111,35.97534027081145,33.44635305850551,36.85673487850785,40.40642458097536,41.43322435584276,42.59744553416909,44.46293839018517],[33.629846057293996,30.83883378706348,28.496659833499578,25.812923460213714,24.580076525784463,30.40825787876622,30.698046339532777,34.89485998919743,36.107308693382336,35.28769717258508,38.882465196609864,41.69352627591766,38.08971252952077,37.21931200371435,41.88371808675797,41.87093715644229,37.86601890141178,40.81007795124785,39.979834091716334,41.267873450245006,42.73243324335938,44.19266515856859,44.111920004219364,41.123780759023084,39.35707150478071,37.6557973435574,36.4834956411722,35.29865190215069,38.962671337580176,40.7293330535458,46.17178089713194,45.60079802038972,50.1567370808812,52.16166887279114,48.34145398597262,45.08903750500087,43.875540322224595,40.663455261625494,38.052774669745574,41.09815980034017,37.10544173180088,40.48084964037019,43.773339159080486,41.14186838770351,41.41341419163112,38.6827870671118,42.62148370711602,43.184455702154864,38.156468083646644,40.414792771008614,44.549634098020334,46.05169399115741,47.66904083454603,45.90605246994119,50.657424036368695,51.165607234040145,47.77560518242695,50.685561484867684,54.36611252584298,50.71067202161476,50.19374271848832,53.41355521359223,53.38476004049451,53.88182484451259,50.21480670345873,47.804244212111755,46.5384696054791,45.83635060295883,43.6987649167383,44.234145378710785,42.920770441684944,45.755655586085105,47.81426241016431,48.84208413325581,49.082209274309236,54.69377072335667,51.50780181765009,55.324830797422855,52.61107453684741,51.63684529629092,49.83543369734356,46.811107451838964,46.02150529901075,43.603709655049954,39.6315625094585,41.8364759427727,44.13834619419994,47.49990221813544,47.41370262731163,52.793379988796076,51.31584269085255,55.35259183040723,53.26150821492641,52.30949921231665,48.11512845199669,50.14198987282045,46.299681519553836,47.86339212380812,45.76795798235028,48.08160447654345,46.448832892486195,44.6709253887345,43.81015613128196,40.98129663771349,39.51506114451773,36.1643786068541,36.96864718978449,33.25453308787882,31.23356488009251,34.15602264442799,31.47574535996479,30.896718627515867,31.320701969034282,28.936434481888192,31.71786202960334,28.91793794543111,31.855558819393735,29.2525291840907,34.68410931371503,36.475015210405985,34.36365662251243,33.40139094643934,28.713619937740976,28.178394635571912,28.454077036167245,25.286712903546213,27.423521113902012,26.5379028815845,27.163189048374466,30.10678578921823,25.783642780583286,29.177309042772535,27.48907872796574,31.763284086872428,26.266404012995608,25.538387091347502,20.693759168930043,21.42469797278053,21.362351897525322,24.443632817009238,23.46716579610691,26.986841698633157,29.909732855658458,28.801347287177567,32.34416292585247,33.96482176467894,31.561020381518816,33.960971142317206,33.93510170697666,34.88347817112442,36.538985098938504,39.560448127345836,43.20970431456122,45.882979158620834,46.315822326369016,44.7366401276461,41.71096065737609,40.21269214316117,39.74290385076231,36.35869437957146,32.413183622875266,35.267249201242265,29.636512588344548,33.17847204019528,29.28948134020633,24.015399383205104,24.405501862688933,21.98171711495516,19.510159550092432,19.33086496505648,21.87912285422107,24.098158079131228,28.945396143379593,32.50391680501531,35.964552325945014,39.10865609920097,40.280737310285886,44.0424604792997,40.521734087586516,40.61748679633047,35.837845844939835,34.799100666356736,34.64572826632435,34.1190381706289,31.787735035380354,35.76878246712086,36.92274814181596,39.00847390299626,34.82710878436608,32.358618045436806,29.726499730809195,28.997056561168634,26.78164899320266,26.22025607422438,26.75713492853762,26.223780595879592,23.52779698333778,26.619532027118275,25.689227742391953,28.69883981571713,30.799939882023406,33.21610677828602,30.023036565077906,28.159322177555538,32.466185707406396,32.10148092770754,26.67289386223998,30.10363997477293,35.4175615821313,31.708738439410073,30.68136310428805,34.46561706090175,35.45532736421235,31.886452758209124,33.11215449987301,29.969117160404917,35.28248296138067,28.93216550848927,30.66046275724023,34.79495196885897,36.49023528353893,39.86211298389069,40.00255836444942,41.908106165923044,39.77938647274666,41.89054649913585,40.34088994085329,41.42666218503171,39.49052184953603,34.684047459651,36.362946615669635,36.46717299512892,32.306007422609376,30.958645235211705,32.45365901531061,29.736309099161954,26.63190104628963,26.18689719434201,27.15154162965603,31.58913081185501,34.69525006198389,36.684934968399325,40.13874299176901,44.213407845355704,42.85623775713478,38.162990317088756,41.33157837368578,44.01547746059155,39.88858635002802,38.15819500216851,42.34515157029715,42.232253163378665,38.443988667855955,41.54835617805725,44.07669303701139,41.455724228072434,40.058398481114054,42.81536529669833,39.784104950738254,41.23150054869253,39.44933723933709,40.5506137233929,39.650823570115115,34.80651033691112,35.57340426340043,35.52984813913566,33.142174504721325,30.07536590768054,33.22520563035316,31.563789367934813,27.045257160347845,26.998609258778643,29.689881148810624,27.60662293027639,24.293674125105664,22.29237351889618,22.143312730274282,20.294900567616207,25.12000562987403,22.91167838068486,24.96489802273105,25.886867617467637,22.114458514676556,20.342964278437716,18.41985150466136,18.35259957686497,22.585691151155533,23.006012015076177,25.1333413560595,24.970315043774473,28.273592922840503,32.814644274383596,35.49248896791752,37.54580934801778,33.01463064136794,34.07859879821348,38.240570290885564,36.024891576316776,33.31494422011325,37.0129135165989,40.38973096356469,41.2249450427025,42.397329046382,44.26348831616644],[37.46712174402057,34.721273889001125,32.46557919567932,29.48917477357764,28.264130544553872,33.94420121799523,33.961349279439744,38.16059197061961,39.12460102082151,37.93210136031231,41.41634957441358,44.42422714785593,40.54519577281486,39.449958230058854,44.011037403103586,44.02601557795236,39.78206266860555,42.373154643312446,41.01846086966962,42.375579909226715,43.43203794258288,44.740769342004825,44.33757321794367,41.12070723034683,39.74100374125936,38.30395892088459,37.539922556354405,36.73051197719225,40.64193410367781,42.77402357884424,48.02254756528561,47.832574126656446,52.37537709626031,54.08277429016036,50.25783687946943,46.778625325823015,45.874441322801765,42.17190743756659,39.48317493566035,42.32001987477874,38.14470416061698,41.32636769659764,44.48581911557184,41.821107451731,41.666027768772345,38.78364672733654,42.64526648424207,43.6393754130055,38.78496944950385,40.755683582583764,45.0398646365724,46.83538160085538,48.39873047658495,47.040417662456356,51.764827520744326,51.89505588364878,48.567176482920146,51.74091716360297,55.18971596537351,51.20768383780216,50.74949348701848,54.15755595045851,54.37074155083439,54.48254297500917,50.75866140825971,48.69012432086814,47.310804687091206,46.995068806901855,44.72013294040198,45.60710054126364,44.09295845963208,46.76610445923068,49.01741707423324,49.764403997501624,50.36610124891356,55.84030091830382,52.67981807089297,56.68144414523003,53.97223505706717,52.84787593371585,51.38445148799725,48.272710675386236,47.914197231151064,45.373892387208905,41.222116174782315,43.580420629148485,45.584922504148196,49.29372680113889,48.86710895223841,54.454910456238096,52.879112378013254,56.81916483370148,54.94172183177205,54.25017929802951,50.172867008156175,52.22840551653404,48.48619718672522,50.26281705352213,48.39518571461956,51.023833523394586,49.10187205327142,47.65207244023171,46.43971752526711,43.92499949261336,42.26812344498632,39.21184539474976,40.16720032242429,36.46194836334589,34.71178453869646,37.56181496923623,34.95792728394414,33.99127844000698,34.38138455412648,31.647487018647944,34.07338249236903,30.97609328502712,33.56385237108031,30.53189893662294,35.58708975426388,37.87133497819006,35.78951561553771,35.204343924804164,30.50791408802024,30.42747594934836,31.15828731116715,28.096873490891902,30.810421615048472,29.742840870635426,30.489521218563585,33.1385307115515,28.989675106441165,32.252035386421596,30.147087211807275,34.43848069775808,28.865995485916173,28.230491467669026,23.74998614993452,24.00269563773061,23.57934451446004,26.317636753993952,24.52721368476339,27.561911288080594,30.87175766271489,30.221435816495905,33.71599243436085,35.72004661630739,33.53880855662465,36.31171008821223,36.620088528093014,37.787797894818134,39.74824859470427,42.78254326880313,46.55909523745439,49.310212535236296,49.497787062716064,47.82998671252319,44.61818430144528,43.24444686759716,42.4209130612457,39.2216615192692,34.92556788257597,37.34460966014783,31.51641705048274,34.83820257338129,30.78141116824174,25.295437469949785,25.945019714635663,23.005073131999207,21.204180771237983,21.179300791539568,24.029820554073893,26.198563153416245,30.951203548086568,34.644879873480534,38.12931913761282,41.50391905968429,42.605401722791576,46.33478974051364,42.54016792080931,42.80492440955804,37.795010501940716,37.35036598948025,36.92293574030781,36.114670643285784,33.67357520215839,37.197150590255994,38.08333712163278,39.97419315038539,35.539748350324636,33.070155008486275,30.618143845916716,30.133788954853507,28.318721832858465,28.212322623041526,29.052301283015037,28.820616575706808,26.545210647664717,29.87415661065057,29.31866056934996,32.364297788542125,34.62645682591259,37.08974891867827,33.89500716894459,32.18474077632098,36.523477930227216,36.17798458320398,30.813750934593862,34.27331975151057,39.578706663861695,35.851872675780875,34.85866097197659,38.65045222925584,39.58932901793839,35.96893933045003,37.22253137622659,34.106551046458605,39.42480976196375,32.993235650000116,34.798470156629456,38.915334502799034,40.50066257684028,43.79826409721427,43.87151322681053,45.825124437484334,43.64470345119691,45.66087183514712,44.09655265589852,44.97801806757349,43.10271773019529,38.43585062087249,39.91470633199062,39.81398505124558,35.80968116412432,34.464774969037045,35.640723843681904,32.88456122000465,30.069303482016295,29.396760985761958,30.821508796132665,35.051491647705625,38.18795313684328,40.42928070717651,43.81211813353775,47.99829790685788,46.569800403643875,41.933117526230035,45.275309051356835,47.928612437396986,43.77800224154827,42.18731330856404,46.4168593761388,46.294537612151586,42.555456393581906,45.69948164810028,48.23146948802918,45.59221619312966,44.2451077880738,47.004710520694836,43.96250467711956,45.36139017519209,43.518277954372536,44.54770577854323,43.733541912037545,38.93354534185973,39.559739670714194,39.50327480020192,37.19887271542731,34.06747462288658,37.01225645014547,35.399741093158234,31.029813878080496,30.77744730317332,33.26293585297303,31.26274102428915,28.11559660217045,26.339070199831028,25.87028586920391,24.176325315717214,29.057473999325392,26.99440441067423,29.146700826265022,30.01860076681891,26.191544161333095,24.50471487465712,22.570294013921576,22.48628228044903,26.68004378989861,26.99410834412994,28.926922940885405,28.645327325611156,32.187981242250565,36.62734675123076,39.424436303517204,41.33246258721987,36.807046172796184,38.072201583453534,42.178531614208616,39.738807862847636,37.173160714398726,40.99342607288556,44.27577640329635,45.020892947291344,46.14918515671804,47.96620883227872],[39.33991068478521,36.84635417219063,35.088991974082035,32.265885209448676,31.808878749697442,37.36845433562927,37.81737450326462,42.15766602403303,43.021391353452515,42.11013299170191,45.58743431940186,48.659146376749625,45.07674136397314,43.77067035705968,48.49320420585864,48.700514541506145,44.542117366257116,47.22876680857848,45.88677675260132,47.453563328507535,48.4716633084593,49.89975955527379,49.37394767797148,46.103765442009625,44.87194497068047,43.347055453805694,42.69626296104587,41.77405411392101,45.64437388633316,47.715674597514514,52.834751746994385,52.69150499707357,57.2053660346438,59.049194460181276,55.30113865378472,51.84907862911506,50.97202962318664,47.389797859520584,44.764840134111054,47.694470706012126,43.500738451121734,46.58506076472275,49.792482065892365,47.170500224806254,46.9514883037759,44.04485801498105,47.872308593858655,48.970806549412934,44.142118641228045,46.016755307432106,50.33713643808756,52.15326295100108,53.74923818700245,52.41829661046044,57.14672546724942,57.26289785694817,53.92603581372544,57.097372086407184,60.54711949531026,56.52652030163121,56.01952521531129,59.393239544739885,59.569559946001704,59.5929935585931,55.9157004228086,53.87321905450446,52.28665823699163,51.94013073969342,49.45047821422943,50.21638277325228,48.57867136709783,51.08467030616575,53.55175769788457,54.46202158917363,55.19869592240144,60.77259463799269,57.768359715067284,61.79333009552423,59.17578037820684,58.13956203631145,56.68184311565985,53.62321192181697,53.18907218435319,50.686342518167606,46.56426315751234,48.86357287451778,50.872577049112216,54.517278070834415,54.045278450978806,59.56839190028047,57.87287245295891,61.728506634229745,59.74703059617881,59.00294433678712,54.82722923042018,56.70823600774627,52.856589630969175,54.84292413355824,52.887977719807495,55.39818489848167,53.8217718413876,52.27052519155228,51.33930818429079,48.67197374207494,47.17288783164813,43.90204992624406,44.680691975258945,40.923872825382,38.93451217651402,41.89486936251118,39.15763687730319,38.560995942236765,38.766505956432816,36.2875428821565,38.690545726997975,35.68242641039784,38.390810237071015,35.372488013942146,40.40387419411696,42.636262602969175,40.356124637093096,39.666890283017686,34.906492550118784,34.7980509317183,35.35498549819468,32.595196609756066,34.910018948689924,34.212187691345854,34.91222785179556,37.827820573181654,33.4522944007132,36.68172450528413,34.87980201490305,39.275262399983866,33.79938456342893,33.16129856782237,28.4219224025412,28.914165195852174,28.465586199461217,31.396150654296967,29.5735032543773,32.724873705085734,35.99149887740575,35.36244438251064,38.960117618156886,40.84557859857589,38.56328964416205,41.19028951732469,41.40337971018607,42.27755205933271,44.09908464169277,46.92486122918152,50.72122737708267,53.13621336106255,53.58329468313188,52.17605701549344,49.09534410160366,47.78558919852222,47.18394235587133,43.99583177585633,39.9269115774602,42.49221016714694,36.723979575091704,40.147449045013175,36.1317267190611,30.66379276992219,31.22885825988429,28.268684607514114,26.35357170330824,26.430656489522416,29.185641722681197,31.391724119225252,36.188776871144164,39.84463214628854,43.31959694287736,46.60291200217298,47.6766216136853,51.47714831518128,47.78543258830594,47.989135936644104,43.041939916156444,42.36385153137903,41.96043118523556,41.162450053561145,38.84968447682111,42.49184772662622,43.454184776515085,45.30907695146092,40.798546126195035,38.302044959023654,35.801294669263804,35.27848299376893,33.32614962831837,33.101252863906765,33.712931134809615,33.11672859279445,30.831858614298344,33.86313638953108,32.92998728351007,36.17887030407847,37.92904087279194,40.54784747322644,37.465266359673464,35.21482164720837,39.374573306237615,39.16444747984252,33.50223371282101,36.61638588520795,42.060966685271595,38.264728331008406,36.83671284904292,40.4792981105877,41.684126818962284,37.76199021504253,38.51875802935,35.44924362285842,40.62716959051928,33.899728159201736,36.28445486273748,40.28051611233289,41.82916875269208,44.74261223349127,45.101987424557365,47.56875288279158,45.75698133533906,48.0471302481348,46.950833849267774,47.707307260267136,45.39485321950223,41.078461174201294,42.898173671682656,42.40103406817029,38.243018998376535,37.398340474784526,38.76112382059304,35.36473898458437,32.57063166595848,32.82712185390094,33.989153193964384,38.77945429678388,41.684822321962294,43.67821276930771,47.32077806089268,51.30341804706785,50.235018983985455,45.48462128554491,48.3957508518684,51.2803980276789,47.27576977385732,45.26285341023308,49.3560016327942,49.282049663356226,45.33381301363565,48.203877131986026,50.71192458565773,48.00615839051309,46.34957005398789,49.001055915966006,45.96127606904072,47.58586083609187,46.12885464465144,46.95724942119214,45.68047096059679,41.163614695996294,42.00451891000831,41.41045838305881,39.00439062592382,36.37391182421538,38.9527499848139,36.74256906515424,32.74815570928894,32.920322241487234,34.739934714984585,32.22525909309048,29.349624632103545,27.75128444239096,26.358563796528653,24.666011383382198,29.53754518095056,28.0629869958194,30.88711441351343,32.09542093252639,27.859202564721187,26.505596152675523,24.304679249206284,24.962494301473768,29.3335228718191,30.324461897838415,32.650667601321416,32.598751057385996,35.61009095415558,40.32556988303365,42.85257665900639,45.025280384410074,40.39766545453911,41.14428857479814,45.33213602211936,43.2298466504751,40.114722250917936,43.67560115182163,47.09683014937036,47.91544090312413,49.13206493148567,51.02070768724106],[43.82479189905802,41.28139743317641,39.38201999311156,36.36855476637675,35.5916712605831,41.128426189188346,41.22014645562938,45.48114379498997,46.22755361795742,44.91930202243397,48.29593091226278,51.47818914968912,47.55232677550044,46.17649047521136,50.70581356666665,50.83858790834929,46.46125706799102,48.76072909942095,46.92507927323861,48.41990839428249,49.03821443605062,50.20338601165735,49.414789757381115,45.9538200566335,45.08151871845644,43.921505525751,43.61408157775605,43.12840703996841,47.207211636668546,49.61301115511265,54.61297234908962,54.765760367763505,59.2691040298959,60.764954633427266,56.98022166906585,53.33294205470121,52.70120614228615,48.632830813559536,45.901616183594626,48.48284041950751,44.20169825530069,47.16502163739312,50.148816195395675,47.44995494004456,46.79595145368061,43.72743679855119,47.38607616295771,48.934302525265984,44.322051993278244,45.80668320309703,50.22723115098237,52.296612489374276,53.85656791258822,52.99242894915671,57.638831809987984,57.39640269181896,54.23914852034035,57.67790538452616,60.824329060619505,56.48958009288235,56.13334923538927,59.746308070080886,60.219728230772404,59.88732719695581,56.13549394871561,54.47437671926508,52.92595675234766,52.996113862058856,50.50642323355325,51.669639589832606,49.90737169270685,52.30266196364115,54.847815150512126,55.38948243710323,56.41355785335527,61.757598608975876,58.70324986112461,62.87062891410469,60.20373896822042,58.948684675141465,57.810701845077595,54.613018270713276,54.60895947956799,51.94387098017933,47.713463997547834,50.219617385093585,51.96201956728246,55.94422466440336,55.215814415031616,60.946335842654165,59.24948202795307,63.04384656514247,61.336481759931566,60.86326558596031,56.861436455017,58.847103403414145,55.15182406452026,57.204774471670156,55.48300348680231,58.28260727195815,56.29757605388351,55.02227954992157,53.6669793028622,51.28891652564559,49.47975272071428,46.578296506228654,47.46254239350283,43.699889713031716,42.07482225042454,45.000870496812624,42.441884975784525,41.44107204535202,41.76307447021665,38.93240668621729,41.083765908107196,37.82540823375078,40.14638917098504,36.792619886167884,41.40607390520819,44.101427122260226,41.96998458801132,41.675906357770934,36.99222372721252,37.26563939693705,38.23769698711711,35.409154251599055,38.256113671346846,37.22761444735975,37.95472783833447,40.468913629788275,36.264368456574964,39.29406646233486,37.0532581809101,41.455692626254496,35.97934307245178,35.53512938709428,31.181021812837997,31.339704708185298,30.706615949027572,33.22487328303886,30.80136484268113,33.33668854934584,36.943857629889955,36.725555223348486,40.15100340685554,42.43324461241752,40.42369766809702,43.40689396139473,43.9059619968257,45.106878894451604,47.179548503900115,50.13470335713528,53.98442644439066,56.63008840963402,56.79102480395819,55.18135386875582,51.911101987509994,50.636339862366675,49.67218622922532,46.57963241210542,42.142633677972896,44.28958287628361,38.3779757864406,41.47972553284336,37.27456414853391,31.75348140821447,32.437246678470686,29.048565859310774,27.78123876423448,28.08390273985084,31.02628567638888,33.235373776982776,37.826376462695904,41.58645826946928,45.08905688523322,48.586384324856716,49.678538196709695,53.33575414402712,49.35567256898201,49.68289355565932,44.515397834919966,44.46766656978103,43.69965528326084,42.58882470029037,40.2305657522123,43.383002368428606,44.130688504374376,45.71412717345596,40.96124627444673,38.53192481796643,36.239916654311266,35.94216599651557,34.39221850375829,34.60471495886109,35.50151853900525,35.22749122920687,33.41585699428181,36.6943148527923,36.237939168432625,39.53060775140202,41.507022144662436,44.198699769471084,41.14133627710451,39.13299544154603,43.36003866135665,43.229183193129735,37.74334194193034,40.9144832814438,46.336553688208284,42.650558867662674,41.36362101007954,45.03256524615611,46.19098198867858,42.36190352673193,43.23317138292239,40.13797658394369,45.29144314385862,38.52226694193178,40.77071970971509,44.75529207698527,46.131988098420024,48.96871887731189,49.17390588221928,51.583092809626265,49.58009560534856,51.66337078405224,50.46478057453168,50.97491574335107,48.83416786475327,44.64580293893592,46.14666711041531,45.47485275525874,41.5623195947731,40.62818196176725,41.58774341086116,38.2892185247873,35.84192901289505,35.663809953065815,37.39270076218791,41.84546012491575,44.79343057586054,47.13466591874581,50.651927257514735,54.80361325076652,53.625634169915,48.964862840274456,52.16028176008347,55.00061750540008,50.97964472909859,49.19775648515737,53.39616159892164,53.35588224242686,49.519196962319796,52.444830405629226,55.01426984225256,52.384058797594086,50.80101758676701,53.43177568847143,50.34562297374476,51.79833262770746,50.16063997481926,50.9022896244506,49.8727403464015,45.378902614989016,45.938136477403056,45.45658283652476,43.21914557925511,40.36133645523665,42.74212041669756,40.79999737395361,36.91207301622123,36.68058774408736,38.43139595399252,36.212998638262064,33.49214842477348,32.16634550861129,30.736944933375966,29.334270940582932,34.219778108494204,32.80066288256784,35.448300007389456,36.615497952905365,32.50621773263441,31.041255221074135,28.838956765671238,29.195147142214328,33.42680157102027,34.22445209416008,36.2040665370728,36.105661975880544,39.50161585768495,44.00135284259169,46.68960368880013,48.68655692275533,44.171129736618674,45.23050923967029,49.36161508812762,47.02748560764179,44.23231685068152,47.93860425561698,51.26658679774377,52.03923289160542,53.1676149388876,55.026409584536594],[43.11879161123379,40.839523732368576,39.468491464646256,36.555816095080644,36.58658219600407,41.93088363391053,42.49256238369902,46.91663917738626,47.54775699602103,46.62274665162714,50.01361543042276,53.23360405579553,49.7297079575239,48.148498963576706,52.90881835711626,53.281354803443406,49.07864076346092,51.646110342876526,50.06433806182769,51.834428229347466,52.62609931081543,54.09595029551293,53.32155468720332,49.92821616127097,49.00139732129648,47.51388155881964,47.150557354066166,46.31142845628801,50.25106012487923,52.459681282388765,57.345367050197076,57.45658128936306,61.9271392373065,63.71428536439313,60.04361738014588,56.50056041889806,55.82539347080283,52.101741015846095,49.515306006450274,52.465572653405594,48.16507602426495,51.02767893246777,54.22450165831071,51.66809080544563,51.22429509274316,48.28728397869921,52.06086061045204,53.395884192751325,48.70321562818416,50.44425794455843,54.82125262207404,56.78630919438772,58.32355448711831,57.192334377591266,61.891951688635146,61.792072496441854,58.46178625686779,61.727833251325116,65.06358459428006,60.86770062121423,60.304283138095926,63.71054938971389,63.95799642361433,63.71664375307328,60.073117798824306,58.220793927121115,56.39424515476348,56.20698285315284,53.48485549990568,54.32450477459301,52.49731549073987,54.781993934741564,57.49792820121933,58.39617373181676,59.418393761832064,64.98696667810262,62.148289279911786,66.2773356064299,63.76055537685658,62.74712339003032,61.4807501140754,58.46045549288638,58.19069125327347,55.70199198350054,51.50200641678194,53.78315890345334,55.619246449610365,59.3762845341369,58.666767628691325,64.22279304091302,62.36728905401369,66.08576608914635,64.13560876048507,63.49369991653547,59.315218760609916,61.065703340729996,57.20107036581363,59.46776949975181,57.58510972671034,60.19674748361647,58.72487679165165,57.317591750344285,56.406500658046525,53.83898785593703,52.416044804188545,49.1388044685134,49.941003127193966,46.18728600115417,44.144472723953605,47.09127198691065,44.26264666044304,43.67643082847606,43.69589384223268,41.20954697696006,43.382704028664776,40.30412742270845,42.90944974418573,39.723002758027185,44.51782684186983,46.92214474562691,44.52294254866887,43.95209261590613,39.185754117631824,39.284452741237516,39.95622973759109,37.48264564372809,39.8531484734127,39.330219225868866,40.116623902925454,43.09171769923789,38.72315237696006,41.93550466783011,40.12789584115416,44.538596486253745,39.05678981115561,38.37425260243007,33.66977430065443,34.01767890561137,33.35448493156128,36.24626900194908,34.049565936384255,37.057647883454635,40.41639660515439,40.01793118673583,43.6683158908752,45.623369133437535,43.37948438182827,46.07855819887069,46.41362575608313,47.177270249917264,49.09084580557754,51.74859147690822,55.65007549421141,57.8500074794309,58.320069354589904,57.063626975331196,53.96954021761365,52.80641287308348,52.156396372643265,49.12555116839614,45.04803096641955,47.47096925940832,41.67233540909426,45.08448124958387,41.093816303388756,35.55153828597696,36.26080094558013,33.14396168577671,31.446274592554083,31.53409681075095,34.36425722777321,36.497694211585696,41.302632271971405,44.977811865980186,48.426928487034985,51.75559218842297,52.720412482449376,56.59689836356679,52.860685388343526,53.14512448367418,48.15493665272951,47.59601917607226,47.166901211264594,46.29389938623497,43.96728406877622,47.45151484490045,48.285611767516265,50.060479848022624,45.44955062264113,42.96792643446568,40.56049480549024,40.139583758665765,38.31714138781012,38.21006767869196,38.84948157133616,38.22347040160844,36.04173483002906,39.019401470468495,38.01312159685998,41.316962970791586,42.88887414508436,45.54470237152143,42.49123872407947,40.063329095427214,44.122475269152325,43.921265619517136,38.144015320233464,41.106100527264154,46.564830880032915,42.668542635881224,41.0395076313261,44.58184743659782,45.84951819826922,41.731142340912385,42.24698406173313,39.28641921648469,44.3657036395562,37.583259284883674,40.31652278384282,44.201073884332274,45.740340894117146,48.35293878192991,48.91852223813394,51.70148654614408,50.09846429352061,52.513214559114225,51.665115881991476,52.3128733549909,49.788086977021614,45.71527319095965,47.658554649348716,46.90701304802489,42.737390711668795,42.15197429785862,43.51698557456552,39.81183184041887,37.13192241092485,37.7567073082278,38.89736073031178,43.86362975332613,46.67203398950236,48.58879166217181,52.322262196118764,56.218791606855035,55.28919953594949,50.510729302756765,53.2358646056804,56.19682300635323,52.24466222749588,50.066222830711105,54.06198051308882,53.970303376413014,49.936008965415674,52.69544464865317,55.14275647225587,52.347919175321366,50.58767362862691,53.198340403151946,50.202048546284004,51.972518722500766,50.73492743828487,51.46589472930399,49.93403584967499,45.59309855956813,46.55798296078768,45.67412148625194,43.228470763278764,40.89452015728353,43.23513817278252,40.70571867146392,36.98741676009775,37.365546350562845,38.7610207731502,35.992288453639006,33.34928334660551,31.879321277047485,29.943671196491994,28.26568755606815,33.012615136159916,31.86872610560691,35.07019618274385,36.34021650741286,31.90554383984582,30.843042031389942,28.619095731471006,29.646712463076156,34.06866132901721,35.27020773461366,37.75319608868495,37.68438426919486,40.48610564825301,45.319232090979,47.752317081507464,49.95172590472413,45.26233590532787,45.811715366441696,49.9844113004538,47.94050141903638,44.57248024970542,48.04650675992454,51.467149537346785,52.26072558597018,53.48632472764716,55.37197718677717],[43.118970760783284,41.00698140497865,40.02972441574524,36.56536336910818,37.123135369103366,41.97100101837948,42.43996901837103,46.965331343366806,47.090826072132586,46.003957130842146,49.21482954128457,52.68887826310512,49.2886390833967,47.24789123016705,52.03795742880522,52.694414417894265,48.477682779225795,50.916828578480654,49.14129894930497,51.30956503948527,51.92705847898528,53.68464342415284,52.66236421416271,49.251910497853714,48.5943514779508,46.88155322137968,46.85413797941036,45.93295485279253,49.8838446026357,52.247680870140336,56.66937032220696,57.21960953959685,61.577408062985995,63.32291040298244,59.85250008666136,56.21407915632617,55.90775084492517,52.12874572276565,49.746364287564155,53.105456733294496,48.5970001641383,50.95008715799886,54.327507442616515,52.09759472794647,51.629220905728296,48.93736931710562,52.83009403255042,54.095901980828806,49.58922404283192,51.66991028257637,55.97719574497802,58.082604353798054,59.32713448539525,58.17191128403703,62.77776052689042,62.436468485347945,58.901151084486955,62.069408253618114,65.4093143110647,61.178076538901195,60.25486939611006,63.4595739047377,63.59754167503758,63.09989316590445,59.61359033265586,57.83905548650495,55.53121611684262,55.383970567869184,52.29302942204403,53.093922048607,51.04317864312345,53.03460509924395,56.051892905518365,57.066217011896825,58.41666307014413,64.05157770305244,61.56569325933504,65.79591233755882,63.54501024397498,62.771669689898644,61.76047019513114,59.022082272314485,58.92948676691484,56.703664888441516,52.32699472047642,54.29897842465229,55.81954249725783,59.611582391512755,58.472310819058976,63.950029200104815,61.773215747801714,65.2419673458062,63.25967083012547,62.73209503383375,58.542428863110324,60.061235885076734,56.19148284286472,58.91941703581302,57.19990398529035,60.074405327205824,58.76326900556336,57.78882304813946,56.9053681588867,54.713390053167906,53.727990261328316,50.40761548528819,51.61324488801689,48.04676662344478,45.81185545541246,48.43361081546926,45.29256763018726,44.45131770474477,43.972377483832204,41.398687195732144,43.05993845327778,39.90043479108753,42.368871926425655,39.03863361116959,43.56026627236548,46.03271799395696,43.42016425477872,42.95924338931373,38.224778468198274,38.63623096498456,39.55237152660575,37.65055237036011,40.380646024234316,40.18937377538928,41.40961662610758,44.59651228371714,40.60169432437479,44.14048634501553,42.28782569834986,46.42974022724638,40.75023884650727,39.56632381288262,35.09052255887604,34.7890340501652,33.57582872868556,36.465193534494375,33.78424220394481,36.876897978209335,40.11710895359194,39.96435325908766,43.80932548822219,45.66566007548133,43.4160990121044,46.16522812336857,46.78667003970879,47.31184657716234,49.55526060413997,51.855724685667155,56.048020603305055,57.91368568763385,58.219333753420614,57.19498601363155,54.01169971230651,53.24032154045475,52.39738845032044,49.859108612301824,45.815255503851866,47.92501483657458,42.178323524544105,45.76841387848063,42.17419503676173,36.496660181027174,37.8217717669803,34.887421124919996,33.368735291349026,32.888250404715436,35.853461979836275,37.514075445361044,42.47921342288774,46.08956378745968,49.35171508852845,52.71201671641854,53.24620053490282,57.45868610048024,53.78443748009561,54.36768024716032,49.46682541311846,48.96810316682879,48.99764809192671,48.327250603803094,45.71344219819659,48.993632002222604,49.42574874986463,51.394642113370395,47.00588361466316,44.65273812989523,42.44077672522737,42.140418520727984,40.585464833017134,40.553866672071926,41.395664478231446,41.03559264456764,38.529519929489055,41.61281631986516,40.47419143491676,43.41134321182923,45.253967356377274,47.53293730540925,44.223460976802905,42.09360875488739,46.18258962338763,45.49625653628695,39.67165555614759,42.94075822973127,48.20917917635488,43.83111177689041,42.338596926763486,45.95793555660432,46.80805522622801,42.492261208824715,43.31828847323235,40.602451694981895,45.918432103088236,39.60796543203347,42.397158752846636,46.33607287393332,48.30551609754151,51.02370161475183,51.841351603371116,54.54468128127395,53.01275708325973,55.52433864961273,54.49391149104335,55.49866280766985,53.05363152374416,48.649095616537814,50.70465678671306,50.353508622728256,46.06007045573337,45.26437134768939,46.83910859988464,43.4212594806529,40.47025733227668,40.85763577948482,41.66324596066748,46.47024272752677,49.45031064145682,51.167192288892885,54.78765668285554,58.63946903328486,57.43735033849388,52.684503650126715,55.403023244959655,58.10907741442861,53.9450836554714,51.87506202385781,55.71640130682702,55.35147879013908,51.33158188274255,54.378479993681104,56.570164450204004,53.43676478404352,52.01557083522601,54.86193848425101,52.060190405119684,54.09079979676957,52.917319309640405,53.99666185320997,52.329511929615755,47.7539973868362,49.11070553099659,48.39058401929451,45.72393733599833,43.48901031000989,46.30248957913955,43.68523749136491,39.66950300998249,40.393088629654216,42.14101510701952,39.19409414932017,36.29314404847955,34.28907647191551,32.749020978056436,30.48114719248231,35.09037712490121,33.41046100687992,36.70345693645655,37.392679090503044,32.883693798612086,32.2411503748756,30.501852718794368,31.649613719533903,36.20254587921132,36.85074814787539,39.57895251037183,38.91156529455539,41.60928266598925,46.58024965020084,49.110256626098,50.98806177063832,46.10885586952519,46.761188994989034,50.76544952799474,48.37479083008593,44.94426282580409,48.599919026091555,51.80388636890202,52.399826391013995,53.61697353037013,55.46229390404357],[39.804964675284346,37.86047768345536,37.24348134946253,33.68471202207197,34.808838819312285,39.34127242826232,40.05111173723134,44.64339745516973,44.60872267357201,43.76948643267637,46.94656424900676,50.43139342165822,47.37563926196588,45.18644752887007,50.10858307652692,50.95041620105234,46.92773142567202,49.58689657310298,48.11455839109584,50.49376714747258,51.33731988299315,53.40031485347929,52.4837181275226,49.223593708188055,48.41189637324781,46.344160920136844,46.20231837417609,44.928669701907175,48.69669863461298,50.86090155796478,55.14031844645,55.65410987746589,59.947402618182075,61.93172055206012,58.59401728595129,55.083176675188454,54.7530493819192,51.33654481841679,49.13436302003561,52.89702673572998,48.39623468189371,50.613628336803416,54.214640411639905,52.182301877474835,52.019117102859184,49.55200158938576,53.588122940950505,54.50288118673967,49.94507651684301,52.42092357451993,56.603937673662934,58.56707042334587,59.70781850780108,58.227679881801976,62.813789101670864,62.6390406353867,58.93169234401943,61.84667927791968,65.38233699666493,61.37183393561354,60.19857427360016,63.14548951802125,63.02083578205318,62.68692055359179,59.32853134991446,57.31615728861509,54.79552058870195,54.34960631278718,51.116900774222614,51.58897949639608,49.546084955753585,51.484846055036776,54.55941497863455,55.9071290185997,57.16743272108784,62.98225534713061,60.69307367226358,64.84004648113714,62.745865314625775,62.239549793465265,61.101598496982135,58.5944943161146,58.25700852204338,56.27809096083673,51.94114177198429,53.61754592858546,55.189252614854325,58.723869390391485,57.60020399102813,62.86120171319477,60.55939458684893,63.955825776765195,61.7574521388223,61.07232541030353,56.761636364912036,58.08747293744387,54.11043906654929,56.9824716939644,55.164882974705996,57.919521536167856,57.00402743556624,56.02059365394912,55.47709098338442,53.253175727239366,52.69861880398497,49.122022183695755,50.41903135963856,46.97239837224058,44.4126238078429,46.88497360154679,43.49761970189529,42.852173049266476,42.04982399512232,39.737533154662025,41.32402523386073,38.3526798504805,41.01837547180765,37.91534232697492,42.588266502299156,44.71344748407315,41.9090227672086,41.199015845426445,36.46928687234644,36.73272228246753,37.43451204397275,35.90157439541343,38.35754427692141,38.58763201871649,39.975136833395574,43.505188218950444,39.61730438973587,43.38568697563582,41.843603751524554,45.813150159292924,40.123801191276705,38.59688322869963,34.03540250796452,33.67287317424549,32.349839474274695,35.488237847219494,33.06133020160217,36.58351999346414,39.49627932462742,39.15467582607972,43.17181776265159,44.676784252680406,42.246061469654705,44.72529472975832,45.2577304144459,45.4153366714216,47.59869198180075,49.60904714576498,53.86810499078053,55.383130181661755,55.83601943413399,55.08116133962676,52.02514226127928,51.41533302779376,50.76719953732078,48.40320204899652,44.690849170005094,46.94414923009776,41.38275952852814,45.24417507678764,41.98860817003089,36.361315226567264,37.84765065470008,35.30875265572755,33.47093621166613,32.608291764783374,35.45074317855973,36.87318417565696,41.986587466446196,45.45496744007022,48.58485816760078,51.7733526353258,52.10286604789229,56.536409762053424,53.1241836868164,53.74241633728843,49.07472849389098,48.15771558810662,48.63993075351102,48.27644459557143,45.60349030715399,49.10502856727752,49.52545815502098,51.73928722421446,47.62008264812171,45.307324170779424,43.05536722278839,42.64439479889867,40.94932536165457,40.65589064758335,41.38194691542083,40.921415816533546,38.00327739555888,40.90763904040964,39.392168367512696,42.089101127207975,43.846459837449366,45.86989070560983,42.47103130779185,40.32432960432093,44.306646840124785,43.340717795059135,37.447711219459485,40.75214475445154,45.87582200420654,41.225017074574104,39.69435490103735,43.27932812128438,43.95603689637745,39.495007746250934,40.36270390945269,37.8324476205779,43.2137908267725,37.25437425544876,40.16036026452713,44.069800620092536,46.379536830447925,49.04929466668327,50.166736391550366,52.909511209340245,51.5479055973666,54.226392634869406,53.212362738066034,54.540478092032934,52.01633139817337,47.44029312363262,49.760011403806885,49.69792994773823,45.2280665147056,44.43106618750299,46.36548402237953,43.02451064044106,39.76592407847711,40.35940755770819,40.61648129402689,45.528847158530944,48.50908677234977,49.86568677075402,53.49301068532141,57.16211056321472,55.937512309837004,51.17504667767627,53.641653529686664,56.24655524990524,52.03576344534883,49.85127143020301,53.4959971059481,52.982097350910735,48.918995995947405,52.02331865490749,54.028367489483024,50.70106581809743,49.39050279147062,52.33506646884948,49.68865516283811,51.958108082292085,50.975239916462286,52.263810968868576,50.35133030907553,45.716224643998665,47.45671174282447,46.721034877555354,43.86128537887782,41.88997328201091,45.008573503765575,42.1840168102072,38.029696465736976,39.2016126586983,41.111572480647304,37.900282474530286,34.84345512523408,32.43716582196955,31.11548755093526,28.385473301898497,32.786476217828266,30.844364442561854,34.29263986634162,34.70671946722321,30.12417983692113,29.849045633774917,28.414612680595773,29.859010815582952,34.4628455177412,34.986320726167456,38.044075675196545,37.13674267872847,39.43736052167218,44.571373084631816,46.98430544558377,48.799438818971176,43.82721705407581,44.264115460225675,48.1809329278547,45.83672457787959,42.14831181219575,45.73561883224418,48.88234179192646,49.45291871995291,50.717334767231954,52.60317095884025],[40.56425082890513,38.87969961349325,38.72696451313783,34.95293058770428,36.664041277788144,40.72460601297267,41.53109042244822,46.16040049674846,45.77158365356152,44.97897371468064,47.996633290071884,51.608224201415105,48.801220626015784,46.28624092117531,51.237424276279015,52.3261191713717,48.40173082667241,51.02938440434215,49.529844148371595,52.20473326667161,52.97998958527819,55.27709506463123,54.221234659587296,50.9968786192709,50.347713450516665,48.08737085980114,48.13501793048832,46.73383177390746,50.419043862177475,52.59305265095798,56.50759225501384,57.27211000455694,61.44758863047576,63.4808779601917,60.32719486614464,56.821976048240906,56.70162063169852,53.38362812323079,51.360678338834965,55.410182753660564,50.83028170388895,52.70879467236624,56.436686886842274,54.64021622738437,54.50702966001379,52.22130009402343,56.3099120664549,57.14375848815846,52.709430717958405,55.39617990968484,59.5054354624752,61.5078356826365,62.47768369259353,60.93778012538126,65.4557845159077,65.18044124830139,61.34442002712278,64.14368418275336,67.7035062395343,63.71861293229451,62.29388741604932,65.05381901252572,64.80639848975416,64.3397738816737,61.13028616128693,59.13673070068812,56.266338136428224,55.77692993600391,52.27635309143189,52.61716358487366,50.43197566642955,52.11843705673644,55.415145370947776,56.93710793476264,58.39355750180014,64.2703609971553,62.28104436651941,66.44856026352167,64.57349643024915,64.28087205134894,63.26642253267304,60.984583801822595,60.67625635975391,58.90747497916099,54.5187515802774,55.950416823261115,57.35159684984705,60.8154157690069,59.4516079469057,64.57307830543013,62.045606899137766,65.23790475881188,62.96039343744488,62.29867952105763,57.96225689261886,59.05018056678746,55.052335905681005,58.258394039784854,56.50649773704131,59.3335750301493,58.692363847923026,57.932633673576014,57.54814589326292,55.50334632777087,55.307513357547585,51.63738119874499,53.113745154699984,49.800308942338646,47.052656458588245,49.32843533453294,45.73190653549088,45.08102338917538,43.91077168508971,41.69808933259515,42.95703329124364,40.04825280647142,42.66495676136613,39.581983731022646,44.05338897819496,46.10020359080512,43.123325777204855,42.40796934264222,37.768877749285096,38.16671473110816,38.90548999578637,37.86596379520551,40.32690092792554,40.89759625394419,42.51238354004349,46.23032828208508,42.54275795924344,46.46776999043465,45.0293276194554,48.82813163718087,43.10787128339562,41.28961012502971,36.83924655517297,36.19836176935632,34.5982550758044,37.760041778398275,35.169923583020974,38.77480737630264,41.50922054394249,41.27136095208879,45.3957007135471,46.736670390339114,44.27369248531382,46.66268546260698,47.304870823526414,47.183667708947354,49.478977165310845,51.152288465888375,55.555019090503386,56.699542691456216,57.15374566778268,56.666890574570786,53.64790917031495,53.31434422046819,52.659765779909684,50.626329844183125,47.084742731241846,49.209367435386696,43.78171902476984,47.76781884687485,44.8124411218643,39.188496970203715,40.96344677893545,38.588531509248,36.782025595604765,35.63074548657346,38.46498930533904,39.60933766745902,44.78195660561912,48.15368491305176,51.135248787165295,54.26258753408804,54.31261947332539,58.95603771902925,55.67331264778659,56.437350856809296,51.90262929782384,50.896282457280996,51.69426616567713,51.488022239205094,48.706606307403256,52.147104467932195,52.378159959811256,54.71227584471372,50.762542704887565,48.51518615797646,46.359131872247154,45.98347494569841,44.37398066565498,44.05330354294806,44.80826297825965,44.38927611511078,41.27908110397019,44.11874561584623,42.415328554262025,44.89932381019742,46.643746545667724,48.43738227790236,44.95434008923956,42.865421642043074,46.74427633585512,45.509124922398726,39.604098930377795,42.93411940471215,47.88157606695599,42.958307363547334,41.409169100530306,44.92419543822397,45.385462140268025,40.77240600119899,41.672922693576346,39.39427440381123,44.77722376083223,39.197389996325654,42.254696702589484,46.08632724511628,48.66490891394334,51.20541489269013,52.61041345417485,55.440017422427026,54.24974200219363,57.05616737779077,56.07631439978408,57.60832830588133,55.01841747433669,50.37189230374595,52.859385162678464,52.95251372414652,48.39234016623494,47.616012122421026,49.740568791157784,46.43229933265297,43.034009032888626,43.735494797793905,43.685463450811355,48.60967910185494,51.599858960195085,52.72032118151812,56.32301638386925,59.85669148174355,58.581715299907536,53.84093090949759,56.12572539371603,58.61123028898566,54.349046075828795,52.114197384321486,55.560733914969816,54.88125506448918,50.807675626489456,53.9757010628939,55.76950685498037,52.22590447033577,51.06334894761659,54.096697553695996,51.625338363937246,54.123440534922246,53.32682243288454,54.77974184205356,52.64304087158612,48.000929433414385,50.05914545369378,49.27891341320186,46.277095832467175,44.560843700314706,47.848745402462434,44.830775958872536,40.658301841551214,42.164289543352226,44.094054129801016,40.67176979789133,37.585238551722966,34.935018508456444,33.66674193177821,30.632307047269514,34.77009599565332,32.69259449616535,36.30103945782323,36.41056217028615,31.79592501054271,31.922311971232812,30.7901357235235,32.470971169503244,37.08230336806757,37.43622854800817,40.7127007142623,39.517639616456606,41.52529334613641,46.755378117251475,49.10008934084571,50.766801539791395,45.711365957433415,46.02098557137921,49.79099280470572,47.380860873891926,43.509051092242345,47.05868739095631,50.05852371700228,50.52292536140985,51.78983044947353,53.65791085930998],[37.079900241668405,35.53509690819209,35.69388148835305,31.591550590052485,33.77361373046188,37.309667009918044,38.143257658364654,42.77469543816094,42.069886900940475,41.35119966284066,44.23949495537212,47.91298248479022,45.3847929597754,42.64313012503763,47.63215866990903,48.92620863256824,45.18099767795591,47.90129593452986,46.614149291012964,49.5284665594129,50.44598287773803,53.049858510123215,52.0507688689761,49.00265060177955,48.27371179935364,45.678503966231766,45.71275215776628,44.021974217982915,47.514943495659516,49.564958586038045,53.187664731958,54.0598265354308,58.11638383013773,60.28548177802499,57.316558082505054,53.910101152187366,53.89422362485448,50.870508806519794,49.08328405919074,53.540118880445526,48.96045448758003,50.54827559553094,54.473611957799186,52.96127975726078,53.097096576972014,51.1138943498981,55.31806554179657,55.79995579030829,51.43247705898271,54.545028992626925,58.474177720142634,60.3785632888922,61.15176151633883,59.33684537875197,63.76776745201005,63.56182440067155,59.547415986600754,62.07686777442295,65.77735063718212,62.01053762374245,60.2848355471976,62.744238180980204,62.24624109430747,61.87058083816758,58.83415455764599,56.667708518730485,53.53549682380376,52.807439744830425,49.145661667514034,49.20966251468131,47.00609825739903,48.58378200154723,51.948680938276084,53.751394236532036,55.186205214053025,61.176806987127804,59.44203280518101,63.5352118455002,61.869991197365835,61.86389131427925,60.833861309130036,58.84935875870371,58.419903433661005,56.957363756817045,52.58393186787087,53.65750096110505,54.97499627978077,58.21584054620919,56.74123800575879,61.62777603309152,58.93516306691088,61.985494147641866,59.552744380745736,58.81324409538043,54.42380766985389,55.30626493450447,51.26943617806725,54.687850355214636,52.95104899151147,55.79361615320523,55.44699904678455,54.880293575271956,54.71169771074106,52.846955749007705,53.127309436263396,49.33796076358701,51.070350892336734,47.98515937440892,45.01145681892874,46.97494828650106,43.14240489793512,42.45994464752899,40.8801031385566,38.82398595956856,39.792685438611436,37.04156538528591,39.703933211124614,36.81754039629217,41.25495442526976,43.00134349534828,39.86304205647721,39.00182439786476,34.46583482308773,34.8604301280918,35.546178343130265,35.018681121892165,37.45515207306159,38.41222310336739,40.32205907362083,44.26466347672801,40.936458588409195,45.09783904141868,43.83727934200947,47.30615023081889,41.59036589185451,39.34141705163733,35.08682170292441,34.094528404395405,32.223969632298186,35.4678349755922,32.982134863680855,36.87743648632668,39.23196835172343,38.92094887256198,43.16353736620532,44.17364226295791,41.617846939168906,43.79447614626543,44.48924078512075,44.04215444459803,46.43222188951219,47.76021760436698,52.290408664728204,53.10860272287499,53.53346232306864,53.287507935231844,50.32646860460292,50.266811997043824,49.64481661287936,47.97099346807702,44.710292882337214,46.765376473724025,41.59177119941315,45.775714224374475,43.29063574585718,37.784271936563044,39.88803245349093,37.95489455288761,36.040369877509896,34.392460768871345,37.11368567464677,37.84283616521439,43.07074726000856,46.248414400086425,49.006956567956486,51.98486663435966,51.711411474363,56.59031461229402,53.55732270954919,54.463944859076555,50.19794490538165,48.947649494541004,50.259580523744006,50.369414302288135,47.45307124443594,50.915316108090245,50.976811564471575,53.55407293700588,49.97179307212313,47.84065193161148,45.7705093381108,45.36307594885586,43.7982421136434,43.33480946720854,44.10873289751581,43.800534445878384,40.32914351994094,43.086739843190884,41.17522407602979,43.233148883767846,45.1319556692874,46.51090772975472,42.87419902038398,41.08102226194829,44.8867241511761,43.2125191432657,37.4144967018902,40.95582980521547,45.608724378396566,40.34930577099037,38.99400184446284,42.52847243648535,42.57846680521951,37.91706473595667,39.16090125859582,37.138359981732584,42.66619341215379,37.709760226480356,40.63296957705393,44.46623699266545,47.45127043851866,50.11440189498977,51.71690426345818,54.34473291610293,53.186536147623116,56.037316805939035,54.86019383899309,56.78800352596728,54.32919524519343,49.37220928187319,51.96660182344966,52.53218539044007,47.89392878464489,46.90581352824249,49.290752658583315,46.354144738769484,42.68186188124762,43.19098665311371,42.682342333232576,47.397326732336076,50.47576280709805,51.30839705587758,54.756611951277904,58.163674924145596,56.66735247197821,52.0126608287596,54.21053859726625,56.42323809764044,52.03694017156753,49.91062316173898,53.15616330419476,52.24040120371076,48.24421628376507,51.63789610355447,53.17976103946486,49.396143334848546,48.577829056078336,51.7981113535861,49.540307098316696,52.22255967982125,51.47167890158253,53.270314837265296,51.07467586036695,46.24348511870858,48.65052870287912,48.104669513646826,44.94140590432618,43.31818369317587,47.08379280158234,44.11118087357065,39.655871260650976,41.464965678558954,43.816595336961306,40.349721379430925,37.0139044238503,33.86185138937804,33.21797070017033,29.692101836939045,33.55675136061592,30.886370642297834,34.363981685838866,33.893687744677344,29.405883991283435,29.902651442267416,29.32109198332646,31.025546886437507,35.57747479679151,35.41179641356976,38.876313780816666,37.20685825465352,38.95617569729197,44.21472959232844,46.55653086135108,47.945545747632735,42.8225855024747,43.15653957944423,46.72115203085981,44.120101289325724,40.22140743865397,43.84563235612156,46.632575041693016,46.96128900638938,48.21754975134243,50.05989455912868],[39.046249646032486,37.75297557022234,38.25758273207195,34.57808026403304,37.14502582710821,40.66779961723338,41.88158640042505,46.51500557405757,45.92081676475699,45.53481738608755,48.44361285182286,52.01519881030628,49.753324853631945,47.061067197517474,52.114602952807054,53.45305610756603,49.83967279363562,52.69349721434488,51.552142815972985,54.45989279132645,55.45306060801794,58.06265600241702,57.097007740473494,54.04696278408827,53.286109679551686,50.68482688917578,50.63465811493777,48.863047831887286,52.28212582164444,54.18474470528379,57.85643189387497,58.5777988162367,62.62302731207001,64.94408753638359,61.99081667288345,58.67448520611488,58.5279722136327,55.671216103605985,53.86897343136704,58.29174492834438,53.76981720979972,55.486832980559626,59.407957583338614,57.822387250264946,57.974086438418034,55.903494093985536,60.08619232011604,60.60591861168204,56.15083240755057,59.15368774792438,63.133551417974175,64.98467357516462,65.86630022014856,64.0226090571105,68.50034760594146,68.40042195422707,64.41944077539966,66.94623226073745,70.68276332576656,66.93785738683692,65.26697226356399,67.7354438676413,67.20659991222158,66.89257555764817,63.856361225972286,61.643046918883535,58.528343259934054,57.718213869986556,54.05416969504174,53.99007187151011,51.81141695658165,53.35335195957324,56.733928648847,58.654718342434464,60.03438551854792,66.07108543354947,64.36122591578454,68.4057078857063,66.74000389412814,66.75256646615907,65.60841672030182,63.590255850125914,63.004526052013404,61.5049641428529,57.21121483610463,58.323376239879224,59.77709131159941,62.9171430066155,61.581367363621276,66.40190719319584,63.73022830233759,66.78385256829868,64.25723066803313,63.40852421203246,58.958130628156006,59.75170312784453,55.65340931852983,59.046640332807875,57.17607980683156,59.78142884924802,59.71326250158034,58.909602616026206,58.994226862405974,56.88058294207969,57.179125367354246,53.22101572397391,54.704232586842316,51.5402578611284,48.43279109095507,50.5551798855498,46.728238766609074,46.424708565069025,44.889955009887906,43.09447890429303,44.254752139262635,41.6523796498089,44.45530882234646,41.69529295443912,46.22149644638446,47.84072871533319,44.66762978618927,43.663254739898115,39.144434396383595,39.34868662340962,39.763752286369055,39.23070527569258,41.18936200562693,42.29777720504502,44.01909931567829,48.08887443505578,44.494797566861564,48.55984426716724,47.533562896938655,51.1538485409743,45.54047427863829,43.44227030529798,38.92303449905076,38.3411516856076,36.70883914767134,40.08107152053626,37.83466278430103,41.791138538849374,44.14579942984999,43.71526790829824,47.95486678367437,48.88745199428976,46.25175275110459,48.266034273993775,48.76123100340769,48.158206006354284,50.288960054399155,51.539509997814385,55.947197879510504,56.54912595519691,57.263876494454635,57.18660116148785,54.40435144810977,54.26894156784867,53.916009191320015,52.09056067868036,49.01947175139908,51.317969640495576,46.1786638257425,50.39464486277532,47.79641856634312,42.31222690589554,44.146539576335215,42.14332890225646,40.03278499106147,38.621489044905566,41.257838232436406,42.19660776257273,47.43158380798467,50.610885747779086,53.42855912118818,56.31369743722109,56.15700015085749,60.99121616239703,58.042431286236905,58.803260298462874,54.56292667220636,53.07529040728354,54.305944443453875,54.39660159259179,51.633252377869795,55.30298422687306,55.56379894861484,58.09826008007822,54.40350583256215,52.19483891212637,49.990889421482834,49.49644773724873,47.720079616370825,47.12388616374366,47.69153915265655,47.07750485325674,43.631755454302635,46.163056526905166,44.01277152954179,46.26528018067295,47.72039478385429,49.26037987631197,45.79557272997083,43.56034709079137,47.16598837557835,45.698277291202686,39.78294214440712,42.927035474058414,47.62683167138397,42.48786123720982,40.77714957023868,44.082012236090556,44.41993219706039,39.64545312334752,40.362839580235104,38.42748448042097,43.652403509395725,38.58338378271626,41.89694263027945,45.53079111960782,48.4238063829657,50.715920070715846,52.54551638741381,55.55302705007507,54.7109934548414,57.7523727371621,56.96974411222884,58.779249608862166,55.99470422559253,51.36595172177219,54.199914360315724,54.4591155005837,49.74886304588527,49.14530238468991,51.6551932396512,48.284197322636025,44.66192806060471,45.82323978515614,45.154456468703195,50.26374027293839,53.13334037392949,53.77806195096287,57.42288263674149,60.643836120074226,59.48837666769304,54.76388077146888,56.589116919547685,59.00909310475971,54.814838674946074,52.34002717537998,55.45396342731387,54.63166873353095,50.50636909782241,53.57525754432764,55.10560950368241,51.36734731793812,50.242537704352756,53.29094824348817,51.05710210343838,53.87338234643517,53.452803291186356,55.04151136887427,52.49526846289034,47.9896607083767,50.509795148809914,49.53718470956878,46.35350404603771,45.15260042575626,48.56609313527971,45.18559945546145,41.12126237024236,43.20484920674248,45.0327283141051,41.25527012413175,38.207350684954676,35.284189887487116,34.00093960186638,30.605806845606693,34.247563851292945,32.1855075312988,36.05690575452893,35.95427018058046,31.326662799492837,32.005040536943696,31.197136282307884,33.34283200556253,37.87111595168,38.29464755772739,41.9347107508606,40.60537521653532,41.95606182453684,47.32684296518848,49.39815373749445,51.06075630907211,45.97077308641764,45.8393115479635,49.45296644746093,47.27642181223864,42.9907762719146,46.26446614745533,49.175196590834986,49.60939299325833,50.93078019938719,52.8118775656166],[39.20086792269061,37.64741302751723,37.6817847968665,34.39356302647615,36.385127969318845,40.539928199787,41.76893183803255,46.39576894918624,46.27307416091682,45.9162586111379,49.04630950288811,52.462033834459,49.94566946412384,47.64076831106984,52.70755163859651,53.76290162264644,50.03082013532181,52.95585515249511,51.841658334674506,54.40886513958266,55.47522556292912,57.79745166154437,56.97445833221274,53.84457840484597,52.91755735049655,50.56086900355464,50.28994262959484,48.66739348753368,52.19966098004581,54.07830434500591,58.22251558672131,58.61383640937307,62.81930229318225,65.1155669933734,61.92583545532456,58.60163085334507,58.17326082394273,55.203267396936255,53.16323448048264,57.21921508403679,52.789234683100275,54.9518240906566,58.716403575887355,56.81197287014859,56.89458361993763,54.55826502722868,58.66373913141595,59.337564076846526,54.71056060192378,57.394788056953274,61.49678970624449,63.30601206627045,64.43664392950484,62.6879168848403,67.27426101275253,67.30149894536828,63.49157540592617,66.18918781560502,69.8945527245532,66.0834054509159,64.74362182940555,67.47136793568384,67.10552334882324,66.9341913174621,63.701503007461,61.478102207959935,58.77389240493061,58.02547826897932,54.65607894365183,54.74692429112328,52.71758009967831,54.54760678638997,57.702124979845,59.42441858754751,60.59121414055498,66.57615157155367,64.50052417621745,68.53407870891861,66.59137684287475,66.3322006125596,65.02130308155115,62.69844770926917,62.04891469381954,60.26221743279004,56.03927602925042,57.482997997658565,59.177363073122685,62.40762600024433,61.3854921154371,66.39069601798684,63.98935815432947,67.29977078634907,64.85176943282521,63.95811075325144,59.50997654076595,60.578328750220265,56.472733716610804,59.472399463517505,57.48072932641464,59.94704273938308,59.60836777012832,58.451858592064994,58.40692074402264,55.982573651565446,55.822765172518814,51.91708755514419,53.08647838447331,49.70857843000958,46.78087137628862,49.22641998757197,45.64812796345933,45.47915057123007,44.4101480383742,42.554271489254425,44.17572379920775,41.50694946249068,44.4154776278522,41.62089647668124,46.41745002484386,48.14308375496682,45.14889863802391,44.12801021686047,39.461346740237005,39.47179104134301,39.781208442461654,38.63701841424516,40.45561231036515,41.196516460443306,42.57610400035278,46.47343535907543,42.50880687457899,46.35057809107633,45.27429697083848,49.18134541238982,43.62509101731883,41.93820522666459,37.16506182847048,37.0592291594948,35.818963558704446,39.21896411758291,37.18668298353474,41.05897340212193,43.66350779359236,43.09850550681791,47.22687433636509,48.362201566096516,45.73800809654196,47.84163237848399,48.15147209825122,47.849189389311185,49.773230483448394,51.43462757563373,55.646336278774285,56.65501802970316,57.462836213350265,57.09634191891622,54.304552457769915,53.79742167919674,53.52837253691391,51.23157178536625,47.98443577081905,50.516746337256265,45.18977160414616,49.27033580522757,46.24785271524524,40.740984976479574,42.145164932727376,39.894638985930875,37.69283254573849,36.71920392767786,39.35039615128292,40.70548211478199,45.88898140371517,49.205891225600425,52.24058532413059,55.19069325985226,55.42217668916045,59.992888772782266,56.88514905667657,57.42177896292975,53.000214897747426,51.561010236097225,52.35417693567958,52.22631281665035,49.64850448946138,53.45351386530081,54.00543494045023,56.3648845828501,52.403282614914446,50.0768401236842,47.71764508961734,47.16454804743082,45.215437823315206,44.6151517395795,45.07221867690211,44.28087517354039,41.09094041086823,43.61992634358201,41.602711313444104,44.22687070832144,45.51689073723024,47.43716641097226,44.13271474355459,41.61936571612111,45.29814232185711,44.26494698867249,38.265370278079565,41.228815070721595,46.22245969387262,41.45489580056467,39.59794950961255,42.92741357582386,43.683397797629695,39.01570899247183,39.46669973234589,37.20504139319679,42.342441489850316,36.64329243638568,39.97674721385859,43.65364691599285,46.155838341115796,48.439396210665876,50.00511248842808,53.10574848382129,52.176744766326635,55.14851465868278,54.501624513515516,55.983220236202904,53.12116122513755,48.72911746340246,51.46088732770766,51.36182274446002,46.72118524357399,46.27397523337673,48.59146622741229,44.95487899791598,41.532440947068714,42.866358330905626,42.52638696770084,47.8169864401525,50.59251072807338,51.47477713090675,55.25218394363063,58.58592820729751,57.6391875181984,52.83924004289335,54.755062775483665,57.43440597626335,53.36840245120324,50.801254051839344,54.13959506542698,53.5732916952635,49.3830560097682,52.24634180720782,54.06466368372724,50.612518311088515,49.14895153511181,52.019853191292405,49.54478314103566,52.128928119284154,51.60461354056397,52.881656874733316,50.462254140063926,46.09070317165577,48.25032439680186,47.12759688506762,44.1058500456484,42.75477380910395,45.787927986281794,42.44330798362045,38.56769884321322,40.354729780741145,41.90004379141196,38.217741810369425,35.33325991622279,32.82377907446227,31.11861986787427,28.15234899205665,32.09836983688096,30.492277983971814,34.39072791685115,34.85470565467883,30.13746103037148,30.38129579766931,29.063149612950493,31.140506063262283,35.696746865238836,36.60069724999106,40.06299432103658,39.22589468803374,40.80782621380353,46.138603402135985,48.20504384033418,50.177692166575945,45.17355532373991,45.02639766775747,48.87803290307208,46.92995667169037,42.70418353386377,45.919820564511035,49.09447161803025,49.71053131018432,51.055600512210965,52.98766092429325],[33.31718024181038,31.62427775106973,31.546841215821974,28.10115707775503,30.121025770726796,34.2060523493747,35.45052926468881,40.07614756755401,40.00032069504556,39.76204083405089,42.94430380070178,46.27183658664473,43.868240860637535,41.67566360658622,46.788437350903784,47.82228671945518,44.23191254072608,47.3629763315319,46.60739927779225,49.13620096326807,50.498426412991975,52.958429655985356,52.387205900855676,49.455433135280764,48.21947305621655,45.63345783575615,45.09022917928085,43.20085761191008,46.557946287173635,48.22292151069676,52.44291128793006,52.636984106233555,56.83417409185452,59.28816299806826,56.121974333646904,52.93949893103438,52.368325346482855,49.71612938895896,47.77985526959226,52.058572553782376,47.731811389871474,49.925771158151164,53.81344901446563,52.0092094713173,52.433961698063214,50.29195442167618,54.49135827251166,54.77563751340036,50.08220306225849,53.10261760894118,57.0444124764804,58.65962386952077,59.73348664524143,57.663245160750414,62.22485451367678,62.48204068357795,58.58123344320152,61.04512652357409,64.92337812625485,61.38163298278023,59.93463690620442,62.47699115123896,61.91198755007323,62.03419614249969,58.858526222020515,56.36910692851159,53.73483260138902,52.69848579661638,49.443468000058786,49.29535351398731,47.426386848181984,49.4246084258985,52.3919723486441,54.29836426476382,55.18066486167765,61.25633942422107,59.16068901939039,63.06068223460036,61.13595669525154,61.01464969527459,59.510593987975355,57.321209405731246,56.43355636838478,54.81527523150605,50.684452031746716,51.930813765133635,53.746599311849586,56.73844693771067,55.88168850051806,60.72808858637433,58.38031464309743,61.75464365093885,59.17405887662901,58.123930368097575,53.61644089676107,54.69159214312218,50.53949096971786,53.404586986095254,51.31752087981261,53.67684297231203,53.45111967177014,52.23293197775892,52.34013671017699,49.88782503687142,49.96649612837148,45.951707933451615,47.22950321672182,43.981814467716084,40.90369287142215,43.19312958588044,39.50374081478826,39.37925070446174,38.19381190608102,36.48590159468499,38.17894203293756,35.679540542846134,38.767675500276816,36.250596012933926,41.286958800137825,42.666314468490015,39.65576036130999,38.39822794154838,33.74331305411842,33.51481449403438,33.62392013999112,32.552844399627645,34.21894511447635,35.133768324009786,36.62808571710223,40.68431867166773,36.91248156947432,40.92595087855694,40.029530234289986,43.70960602979414,38.18685658535683,36.24586846476233,31.515999403474588,31.34537124854567,30.119430848260208,33.67088368912444,32.06093303958387,36.27085275589653,38.55971810459722,37.72802058202271,41.9009554977693,42.75436124125544,40.010438621254025,41.89487229435765,42.093958820660845,41.646034442831215,43.51600846517301,45.118589593005055,49.329389309591505,50.324279060534145,51.14624494229864,50.80104074374348,48.06368728590239,47.57251312725281,47.41185224943609,45.16408671400242,42.13158900334725,44.790781377680524,39.65058183989219,43.88269364213625,41.13807023858674,35.790305824994924,37.26888626207287,35.458090294078936,33.00305041593934,31.682221096144374,34.14483178443257,35.28551994593754,40.5030595258795,43.66997872323453,46.590440133837255,49.393788502445666,49.53671741103865,54.18664597821116,51.28128260534205,51.81659249195056,47.61017667446353,45.87401811500227,47.01550696955168,47.15447077158696,44.53251209815524,48.49245795131248,49.06887657327854,51.62865407738649,47.97416408655843,45.71033549618593,43.338705825285714,42.68249104550013,40.64732765972741,39.83887085817816,40.250154937435674,39.51099995518021,35.98944710952299,38.44677662743372,36.27961492358498,38.59304575723046,40.06360590356846,41.70264970803619,38.27024425146925,36.0091888626875,39.72575830251244,38.40561004851444,32.46295213357285,35.69296627916945,40.556938329674146,35.597029942676,33.95980993082848,37.43262924338225,37.92417606853948,33.2898261306564,34.133842200608505,31.88458922372094,37.28847166299846,31.918721225548296,34.96566215949601,38.77542701320456,41.57039990200643,44.17286410950799,45.72286205708689,48.48766588184897,47.421764885544036,50.34949141067156,49.41608017209441,51.22647604604825,48.577696588059155,43.81701602468698,46.56184118596234,46.93377950392194,42.23953180419363,41.50090657411537,44.0159318440287,40.81300603084472,37.11709322651288,38.14522901881489,37.45036608720036,42.531389528100824,45.414168593678276,46.13738184533024,49.77697482993185,53.08969048570949,51.92609804970643,47.177099015972686,49.151435040563285,51.63649069691142,47.45042037915724,45.025027917821845,48.33395828175455,47.644820606174854,43.5181824946541,46.61177478721106,48.35148675024712,44.803234531032906,43.586281472527226,46.62407618283095,44.21384175419633,46.82287632307829,46.170716519689684,47.734870107329556,45.44062639444062,40.790027352537415,43.11098339875407,42.32514345736286,39.199151855272646,37.70966843710344,41.2419401140036,38.11742004851847,33.828052059416045,35.73010135822792,37.84559445549999,34.27147920198116,31.026609134769824,28.020602260477247,27.111118228492742,23.68804231262901,27.624717788790278,25.30744742952987,28.96127758942287,29.026350169663502,24.387898852979085,24.705585941480177,23.769103306235152,25.72539792599703,30.27942778015129,30.743033499148137,34.30450646252285,33.18904964396051,34.69716947550416,40.03841611841487,42.160683965989435,43.99094380422983,38.94914943920361,38.91157287106214,42.71449085235432,40.638126827901786,36.48822883663831,39.84054622580814,42.96776513969424,43.557472582918706,44.9002171817194,46.84243239687399],[33.55463287075568,32.26369498790285,32.854582556939725,29.2916252657519,32.11086589250148,35.5332837944344,36.98853277825508,41.60525113982505,41.14986460631803,41.091943540607915,44.07851662715381,47.48131923792719,45.48640785238724,42.97133691296098,48.112847028124634,49.43147244710078,46.043631469523376,49.20131430408772,48.53698354272718,51.36860590077118,52.73276948136937,55.46457968363669,54.80796299860711,51.963467087891495,50.83406474258211,48.007148254288225,47.596952338372546,45.506820244072244,48.69578439137665,50.27720157298557,54.09446939756944,54.48325288971375,58.522269618475875,61.10107064770964,58.16226563131658,55.05645239052958,54.65473170357296,52.23421526660394,50.51978364437149,55.11867121934834,50.760403564219914,52.621010070218254,56.650646778209385,55.10183488344779,55.62231310122843,53.68625216812026,57.93976917976962,58.08101190429356,53.497625798482886,56.75344118888256,60.59550410036417,62.200485803432436,63.11065906100739,60.91970218024071,65.39709236715572,65.62119455327237,61.58781446556196,63.87251165591201,67.81107068973508,64.36800049009118,62.65261660350095,64.95111785746104,64.2033644437264,64.2637396180883,61.268935946699955,58.737003885120885,55.754034007380525,54.58695652064687,51.0738300033363,50.68849222500123,48.71391542086385,50.44988185547404,53.61325888110851,55.785117184759685,56.79943257527141,62.956435339246475,61.200406885290434,65.06648495601141,63.39215025670024,63.53793012806366,62.102042780839746,60.182964672423005,59.24411421751311,57.88229063379779,53.7531469818232,54.70119800322761,56.38174834141677,59.2074739496362,58.16416220640074,62.78581749919265,60.21504960098562,63.36648836579425,60.64811178241101,59.558853609678074,55.00914100696998,55.78377722992909,51.596103414750296,54.79178407399588,52.72981092913664,55.065474374592995,55.2612706470376,54.22471231532262,54.61357418123128,52.30571499766944,52.83550618820848,48.68416482654784,50.10619791876074,47.040530449544825,43.72564642948624,45.77907561753682,41.87329417918172,41.85002883143421,40.24353942508551,38.76653365239149,40.128008569038855,37.79851938176089,40.872268619621885,38.4856030813226,43.33095856520285,44.50825163717006,41.31211402493009,39.967826597118616,35.46979203120271,35.30062950007091,35.33893592118963,34.87314516625029,36.37247194499689,37.73749373255143,39.44284187264586,43.717463670417004,40.18032555208035,44.32198473480159,43.626442549403684,47.08916160798393,41.61436135658044,39.374357918611516,34.78135202959413,34.38645066848837,32.92639251130538,36.507059365014975,34.85588613554716,39.18285899422134,41.210774125615764,40.42344710431878,44.6866316330644,45.28473177719134,42.48475012959156,44.16843082418384,44.416847019626424,43.58276423211682,45.48381120723535,46.64486089721961,50.954609389169974,51.4412910108272,52.35044969241857,52.3736614114931,49.76091326703081,49.573250223377315,49.502945563423346,47.61725622274203,44.890354569945885,47.469579978039,42.5587114940841,46.9259200387844,44.54028354690867,39.266235227886206,40.986105596561885,39.39543101575369,36.930030972637084,35.33376166537073,37.7222806423984,38.56862819666976,43.80544709000078,46.81858927779791,49.55008571518692,52.21705281583098,52.06267982556099,56.92176683410972,54.234573111118294,54.88820858624896,50.89517725330657,48.96609604166844,50.479916682901596,50.82321870738738,48.13155774647277,52.07570247235299,52.4995010480859,55.196484102466336,51.74846886996572,49.56218413221543,47.266677387394374,46.61437687305588,44.62849843256392,43.743704864070914,44.132344653364974,43.38480997174625,39.660356455953455,41.95927740756575,39.53791948481828,41.57948888268143,42.93585734699059,44.28534950290832,40.82198674207271,38.592554638878376,42.089036347989676,40.47259040879118,34.591784766135376,37.73921031585853,42.31135614680823,37.08532536876527,35.39538546633237,38.694130579620015,38.94114131233859,34.155745437093216,34.95787123663306,33.090493313127844,38.38243785892818,33.59488050088114,36.82502076077894,40.45675722983556,43.56176616428505,45.95677105179227,47.87458444681968,50.749911824798325,49.95078969558381,53.03989676217176,52.20468514944218,54.25520709496827,51.509717961693966,46.73660643556388,49.702224100662534,50.24449581814539,45.47144975024762,44.81101893536666,47.56636084205586,44.392214037095584,40.563548911155344,41.801886586394666,40.69399447438123,45.78723278179619,48.6170432784524,48.99562522897804,52.600564663720725,55.6803654062187,54.51872200714868,49.82664533901932,51.486779283269826,53.83127188355158,49.651765208575725,47.12475449761163,50.12741895227905,49.250674596877744,45.12761608040995,48.22137076379413,49.67457877264809,45.890427727384775,44.828150968167655,47.92923543812194,45.77142398208127,48.66754204583447,48.30533658967684,50.042206789384615,47.438913235012016,42.86854862126163,45.590750765545216,44.71035463563902,41.435251942808655,40.34824023011377,44.02019682873125,40.64840134628261,36.43699315844062,38.77343010023544,40.83896382998361,37.02210305979314,33.81919705553057,30.57803277019551,29.711470207156143,25.99030851763652,29.436213156617143,27.052362821743,30.872279971929146,30.583322797084048,26.002540358890563,26.875607195298286,26.34079673286782,28.60372140608224,33.04591468983669,33.37561707140256,37.18127408573041,35.78989056193,36.81517999356518,42.22563587200923,44.18015796783049,45.8644646427146,40.782031384098545,40.485179091058285,44.070891540684094,42.031295596389036,37.612498818079715,40.80508365139377,43.74754005880068,44.23005882104082,45.590457571429816,47.511228187355655],[35.83063425418351,34.64350715491184,35.26619197200892,32.39886051615331,35.17055407134405,38.918495759224996,40.69973951493413,45.27370564701677,45.19390429516901,45.42900259070313,48.53916731894153,51.750784024518886,49.839299350423936,47.594501960444774,52.771493376717174,53.961091431218094,50.619553343565684,53.907149226800776,53.35742044650758,55.9929611501843,57.443772561418406,60.01277781972431,59.45178486080708,56.55253376450079,55.321272351742834,52.63721955394846,52.05166258222091,49.99755937270138,53.19070123462139,54.64078173288909,58.75295443264767,58.83267432979531,62.942215270652085,65.62596138218751,62.57160755238584,59.53970061202354,58.87398621214247,56.52493370638107,54.66461335792881,59.01258521207523,54.75884192184893,56.969315218898075,60.89923205208771,59.11023445977842,59.59447888223938,57.43639658500575,61.6224406584835,61.89022017974453,57.14654635348279,60.12053870706216,64.07180360488603,65.6067191494735,66.75199623366791,64.59932327954995,69.17046460647498,69.55277566758419,65.64793930844552,68.02901864405936,71.97453851152592,68.50966884957934,67.02934714138364,69.48241093887985,68.80635280979992,68.98868620617195,65.88451023784285,63.318286385990035,60.578413955407626,59.39270734365974,56.039845319364396,55.65264382633801,53.77568824508355,55.63008381184056,58.68603681270548,60.83192046476421,61.69448511978113,67.84938385649271,65.91123283863318,69.72992713762775,67.90062332766605,67.90595722680081,66.28564282300592,64.16662543056144,63.06216305537351,61.50627660182515,57.49404532467652,58.66517391393444,60.58933941409125,63.38122334705318,62.63013488778468,67.29748352121246,64.9003603311108,68.19231593595003,65.44824143934862,64.24908670632438,59.663244615311314,60.51720579842566,56.289550919340144,59.23172446186208,56.99621008864311,59.03825415002717,59.316197025237415,57.87243817516039,58.40466733596907,55.70749810184579,55.98263876212877,51.7320535475389,52.735379957400895,49.491093061640385,46.18038193447689,48.556206634093854,44.83109976314485,45.22224667372353,43.941137260006954,42.655318491313466,44.427032545634674,42.182894864872104,45.40308370923731,43.08440089444057,48.122173732831996,49.279052237159064,46.165651918736664,44.720410726736056,40.17225077375759,39.76337405999965,39.53632686094035,38.71303607485067,39.71841434818813,40.98143811431383,42.30387452302557,46.55866330018855,42.591175901484476,46.484058678902166,45.97746611133256,49.72292786477302,44.40240279715409,42.54871971885142,37.617611172721254,37.84710288221205,36.81075579767573,40.479363285346246,39.11094082930058,43.40818922154683,45.58835703788631,44.65022440832957,48.83498808281857,49.49489290945641,46.65191067126434,48.254966414042194,48.2319002416412,47.448380428180116,48.99261275947648,50.32064646918565,54.381720983537306,54.90999336420564,56.12951667991007,56.13170585120748,53.68121882977328,53.211379137649004,53.421636105917344,51.139918556373985,48.48393466924815,51.38757285276142,46.41092912217729,50.707520647052306,47.98840269126766,42.7344941808871,43.98233020916967,42.1939964646752,39.53264571395338,38.398254510981076,40.702314395092664,41.96007968602035,47.146348480916366,50.229616814206985,53.12709016047785,55.74401301594937,55.91550688340658,60.56710152613179,57.86684008230002,58.264368062831984,54.200293794667125,52.10468607000552,53.28532854182387,53.483633225050944,51.04275673650697,55.226631754416374,55.982346998360875,58.53602844176888,54.84010400033585,52.532025976550315,50.04357895569851,49.2876971544631,47.031073883991155,46.03219067655108,46.17186634203991,45.048248992539456,41.52012722056893,43.587562137340356,41.034250679374416,43.460056910410856,44.28202337564786,45.99992847436904,42.825151908555746,40.02405675046636,43.334543369252295,42.195545288277756,36.21195094423874,38.81877210442664,43.57298927624086,38.74434572674069,36.626803138988656,39.67192238501804,40.46602208657806,35.68966477774695,35.77387766639874,33.814212678419764,38.68308028829528,33.43607405434811,37.056100573379425,40.47649618059509,43.23240005833509,45.23009654653009,47.21751699543325,50.52199363854079,49.998143255782765,53.22538105732467,52.86553476307687,54.60326507225746,51.50147901546682,47.2178138388389,50.34678567137533,50.38397879669154,45.603985178495584,45.418987033304056,48.17392591881097,44.44633810231842,40.80367969656239,42.77300606174288,41.700375498500364,47.24264190195814,49.79709671544333,50.125467453686525,53.97846177056363,56.92419478633509,56.22324225465591,51.44682973217366,52.7866310586148,55.47326301261633,51.58015762630657,48.676217150316845,51.66409877451222,51.038488290184034,46.778911660907355,49.404752568768885,51.0119034519306,47.47277706194329,45.90443677135278,48.70288997922711,46.437132877241346,49.31106222061715,49.22095143281285,50.5543022348114,47.68550189560973,43.55545983025198,46.16023289679024,44.76610908018085,41.58703397850293,40.852284656434286,43.92173165337372,40.173403683334115,36.50832692008393,38.937533141026485,40.29490458384335,36.234356746938616,33.45363428230499,30.727594083403336,28.955546613294,25.674237099492384,29.004363662717996,27.58509706490229,31.772272615560237,32.2114069940674,27.517919381016217,28.288730891853646,27.225384404091116,29.853826559615516,34.22079137786619,35.403578071886265,39.22499851235011,38.45536112894507,39.24099111204156,44.6805996296473,46.35972280853125,48.47915644617398,43.518180074121474,42.774824851583595,46.51922646840523,45.033447797351364,40.33438074135288,43.12112388996957,46.31440731136139,47.00204550009878,48.42967245617338,50.39773878021583],[32.855660911449014,31.370546583290285,31.5376798143404,28.925048829626494,31.23815855699956,35.43202616014568,37.22276960135644,41.764229176158786,42.07238813005421,42.38233297812301,45.666364798042885,48.700620424683024,46.65729617842191,44.772732035604065,49.948823990827826,50.909464025750864,47.567512023325925,50.98775849887569,50.63702783161896,52.990246803782064,54.63231341319577,57.05086546726827,56.71944046817001,53.879523593596396,52.382430665142735,49.77503454892562,48.897472540728046,46.83068980080917,49.99804510398397,51.31650649509027,55.79558401217955,55.53630568092412,59.74538078652397,62.47364621657582,59.26716306810482,56.31085754572346,55.370957315819375,53.1087602204977,51.1377071316846,55.31077283400929,51.19943739110682,53.73511503465015,57.5954889908772,55.63780220555802,56.24648458591885,54.01064596065277,58.17016374436138,58.34409505301118,53.465004283772174,56.372438775521566,60.308451682622106,61.707120892873824,62.99321812025094,60.75257348650592,65.37434386589813,65.96205331218508,62.14908522191179,64.52596010654025,68.52036267912993,65.1570978224372,63.86401531086709,66.40153871394031,65.74788927307885,66.17593034256254,62.971051679042866,60.2778920846296,57.88056825901014,56.60536080858961,53.54178759711621,53.15522555358652,51.47482926189491,53.609880085336826,56.39561409578061,58.47210330692544,59.0387927839865,65.1745426894593,62.96668974811746,66.69904652174029,64.68284346404421,64.55840713550499,62.72784403854302,60.461801609385965,59.196407430996125,57.5222990309629,53.625755225327204,54.93289325409627,57.08574558789263,59.813454526117,59.37540356536585,64.08251819380042,61.91809238244463,65.41719711514354,62.67997325181815,61.38015165596393,56.78772094139969,57.849133973780084,53.614416706308745,56.18458357264415,53.82439185491674,55.70846187752178,55.82888900202735,54.09855882007746,54.60253707577407,51.66980933913499,51.72195037792786,47.466955223158145,48.285858516720936,44.953954597596756,41.70749845308726,44.2455221728839,40.666154132084756,41.18872513110826,40.213235905332866,38.97117222306609,41.11783393996142,38.9313829137796,42.29345673778973,40.112951315809234,45.42238938425467,46.47614790784515,43.50913173327208,41.94751113875825,37.339844964464994,36.66856262158564,36.25693528121942,35.01199737711713,35.80387988890436,36.870994859295294,37.976722805590725,42.16845992546716,38.02986368763282,41.829469874474896,41.39423881555438,45.221376401607394,39.99103934502884,38.32799372310351,33.24780480041622,33.83094063528908,33.12386012365655,36.85698263272893,35.89309151137105,40.25685586021823,42.434074265265544,41.267103904391426,45.359295422105724,46.01725770149265,43.14054532966433,44.684451434660986,44.463368275840494,43.83775994689333,45.189494120731176,46.79953866911635,50.69773287791999,51.53938598708273,52.82163677708309,52.60789094139052,50.182319181838885,49.440361166565765,49.7650344608188,47.16238529940458,44.50051100960772,47.63110581936562,42.64620789652303,46.89369593520872,44.02527067388772,38.88347516739739,39.83283793555788,38.11595951978819,35.257162180480464,34.28150942771049,36.46097094918063,37.91301041177766,43.04064481638878,46.12777317579601,49.11253620446841,51.68949324892963,52.10380097812671,56.58058529703933,53.87821803535633,54.106967192727645,50.039141731909886,47.8282074530501,48.86180417764379,49.04076472751465,46.72789101120852,51.078912849997586,52.05875932174283,54.576861741259584,50.87278120705549,48.52221033287693,45.926087579873965,45.0728322593681,42.64525318433385,41.52844917539171,41.54886578799979,40.31155706284602,36.80225820450745,38.8115998510456,36.270690570141134,38.817513138155334,39.602129128555866,41.466727977738735,38.35128678716898,35.4605546678491,38.85538113668424,37.90630386001592,31.880446788224774,34.4901176287102,39.42397027310054,34.78550711005797,32.670451998014165,35.830259876650025,36.817512272352936,32.148213631388394,32.244196319085866,30.00097335048702,34.978324201709434,29.355381665175834,32.84227058036176,36.39891331286374,39.01698241725979,41.219105938095815,42.97993345781204,46.16394020443542,45.477300291845914,48.62662265287739,48.20088521391298,49.87118171320218,46.8289370502772,42.50499223148091,45.56468569441959,45.590417869183,40.82235925970693,40.59439763652842,43.31749423305891,39.622318848483886,35.96769382028892,37.919270204534584,36.89339336329093,42.46992060788288,45.011346667914985,45.43742071206826,49.318793865797076,52.35033094072155,51.68196205700093,46.87358010827906,48.32678221755642,51.10883079837477,47.24402316700925,44.352161049954994,47.51103871487976,47.01897860836018,42.74471656476544,45.346342059576166,47.1461879254277,43.78112904704498,42.08486877119909,44.84518304490337,42.41074568268342,45.110796541087254,44.85230882991628,46.105939324722556,43.41474923865508,39.21193273937728,41.62066542728804,40.30134265941317,37.18064232805422,36.23589277951752,39.300485666105736,35.69586818073369,31.91965723181581,34.19057832268076,35.657353764224965,31.713588952389117,28.83169384475713,26.139262948223013,24.45933820351512,21.227295241565926,24.853714918780607,23.40328423099436,27.504190755229082,28.207461196929714,23.473439455127046,23.92157808534028,22.626798276013716,25.17260514769628,29.563455410434077,30.91599464248603,34.65225505200564,34.13614875486377,35.049208327792755,40.45225736378815,42.15843871791763,44.43821375114946,39.53644314823867,38.8457135819639,42.74990989719936,41.371104813028154,36.78132080411019,39.597878427730706,42.96677417289051,43.779353284698466,45.21179544110425,47.21865699745552],[29.501394961345262,28.139929566351956,28.63579497515837,25.734018571953428,28.55961662427416,32.28002745023543,34.15535012738771,38.703215930040585,38.76634891001681,39.200302660415126,42.38599533108189,45.44116591461965,43.671012825123995,41.6337808388672,46.838490412931314,47.9599373243266,44.80118664802838,48.31825010675834,48.18658111737455,50.70801758871789,52.48434693206494,55.139654905948284,54.87345182076223,52.19602086843182,50.62242053869729,47.75293876313206,46.83952527366048,44.52439948744453,47.50080953015506,48.68138842021455,52.927431704788816,52.72181119053077,56.82560070591902,59.68240088343019,56.63430675230783,53.78344661058131,52.909181924016615,50.92809320378984,49.161295323664525,53.66238139767903,49.57396257229676,51.87439561809018,55.88280886741621,54.16332288368078,54.99856662088955,53.01858836950237,57.25704351884724,57.1375072446318,52.32900601303572,55.58114978649612,59.354188867852955,60.66605198758641,61.78409392571649,59.31394004152544,63.85229265848742,64.50290065488761,60.55261035048774,62.694256981716656,66.80073852237611,63.6320484136969,62.09848901021376,64.38113581544435,63.51795873484097,64.0382831774977,60.98252161290364,58.14468009104309,55.56038011927733,54.07372756828015,50.91336593231705,50.27784600861682,48.616194691280015,50.679342974974155,53.47860184213412,55.78830900880152,56.3013111763889,62.51728761455587,60.51368093709752,64.16356771181047,62.32080546953378,62.4357807159563,60.58146048933846,58.5706929104376,57.190951267099706,55.78365654101566,51.91686265803548,52.91435371738814,55.00628190701047,57.52436429228715,57.01713552384215,61.508482773922516,59.224074613454306,62.60895372833245,59.73807214552101,58.35588595051422,53.72019284738202,54.61116879424506,50.3431852465203,53.057474000259646,50.689755403706634,52.55433051452938,52.95101429851231,51.36233635427421,52.07597580530884,49.28423798138524,49.76563689260884,45.398216793691006,46.44369604251139,43.32636953596946,39.86356829760057,42.11280072401353,38.310305042067256,38.83799381002194,37.500385366738726,36.441434064685666,38.37339847508969,36.366710905866015,39.78723800568515,37.824711997832665,43.10820056859618,43.87045063098282,40.79285089538938,39.07543497222309,34.581878514136754,33.84210706369316,33.31327049871793,32.50930051006325,33.197086447061956,34.64269402753902,36.00743788722502,40.41251727224527,36.61120629228096,40.62554092451268,40.35816499315189,43.87128454083229,38.66355411252296,36.617783748349495,31.720888390629106,32.016737138697955,31.11353976470059,34.91691790482354,34.11431890236815,38.699542900660184,40.53735050783273,39.28465601459679,43.450717361525605,43.80822475235807,40.850952055847095,42.17626838722508,41.9701894301429,41.039786921845696,42.441159462719185,43.74234702863743,47.74328820067234,48.28851991163587,49.572487557005516,49.577463059073146,47.22118941913296,46.70652215865786,47.089596381201645,44.788826202481175,42.40263126481694,45.49124213133135,40.75421940037377,45.15885596037375,42.705476153059614,37.6995617282987,38.91612619415882,37.594047384292644,34.661219975246944,33.2552502839983,35.31209493368583,36.395191471408964,41.54694114242282,44.44918654619867,47.231082561034256,49.66228140680116,49.80226017390536,54.47241490039982,51.99982235171812,52.34478485167956,48.52641661966864,46.09154726128291,47.584690218133034,48.04602705193578,45.6212978197604,49.97912130761399,50.81461738332696,53.531993439959436,50.15528004399392,47.911156706313776,45.401295798900954,44.5282450654553,42.15618988514087,40.92220288327091,40.965310730143045,39.84567778407754,36.01195529600465,37.93928833718766,35.206167272657815,37.32885338369984,38.266279197630695,39.720386997352286,36.45144234505376,33.847601383355595,37.17373230180521,35.77885050046797,29.835348492974596,32.67245641202713,37.322856607131456,32.31689655213841,30.3811481975114,33.58451927985257,34.1584565180259,29.394782698377327,29.849349227618475,27.860227471845906,33.03767562128363,28.07309634947983,31.410902660034477,34.98550003251583,38.03999747938117,40.38894543710667,42.339901714108876,45.294144706183445,44.62387476668823,47.805202079778866,47.16778935819252,49.22590086910276,46.33533808111176,41.6953154430479,44.843689431276616,45.34341964337007,40.51942078060856,40.062054802335616,43.01988864603621,39.72740456711951,35.82129539941787,37.5357475771565,36.07150039251982,41.42019554144213,44.04916736967314,44.2012630643036,47.92740479566403,50.84251570677487,49.95591397369799,45.22769377958902,46.602922118783916,49.12223891293103,45.130446550505766,42.33664290936271,45.30787049174678,44.58486103803047,40.3680432134681,43.204907193646065,44.76408093198721,41.14752515410555,39.78476801824483,42.74920741235802,40.52032336402589,43.41158608923888,43.18976228591832,44.79658514804235,42.05631263057197,37.64147243741799,40.4065131071698,39.342837049764654,36.055789155329414,35.192218139802115,38.75799625314829,35.234762837893676,31.148022658707124,33.716501996119085,35.64244126541284,31.69931569412045,28.548662878346008,25.301721468843102,24.369608690549466,20.5776246650132,23.883760279094332,21.71451423636544,25.695026776546825,25.777100912871703,21.125959352098025,22.007445538657226,21.332884892779703,23.911129873275176,28.23638977382646,29.060780414719243,32.99693512535447,32.029486350858804,32.66017203793109,38.11275591363472,39.80999624828794,41.84075056093566,36.86326658742451,36.16682355869848,39.89626849481056,38.359092089674704,33.69309550954261,36.57940128823887,39.78290312661974,40.48634386347987,41.92247118050746,43.92507872751013],[30.226230393231475,29.32781118846055,30.487390677727706,27.81722409033655,31.319962758970085,34.494239101656355,36.679763044251835,41.14990621512805,41.029024068884645,41.760649951056564,44.801241897343004,47.8108666098735,46.46765851720365,44.28214841721141,49.49523121748518,50.80776138229996,47.880873439527825,51.47273398720882,51.49934488790826,54.18958192684178,56.02180215068691,58.85085521341079,58.57104416930586,55.97191850136353,54.42584972465134,51.39684472946711,50.510853776022515,48.0268119103324,50.83120305370894,51.86069856128354,55.85747358171611,55.677495684655995,59.64954661438658,62.66689061178649,59.78871986414997,57.06103747439169,56.22001462399385,54.50646993646133,52.889565617919814,57.5712397824954,53.516348490232446,55.66249134893973,59.75274965894819,58.17230491264188,59.09945995941221,57.22692588446334,61.48991315062758,61.26406802578318,56.4922880468545,59.85886684155571,63.57320799410964,64.83219277352043,65.896742553073,63.307123202959666,67.80253932064564,68.5024761663148,64.48686180196201,66.48449714850246,70.65182512851406,67.59241890485784,65.91205657872283,68.02240729220951,67.01244522011093,67.55551361717872,64.62358364616051,61.717174575478694,58.94349426130445,57.31359728385167,54.016930982445885,53.15295750544155,51.46292801882359,53.353656657846805,56.24707934461938,58.79020101978379,59.32504248738703,65.60152723184451,63.823634330849075,67.40074348690072,65.72140239137657,66.02739048161668,64.14591056996176,62.31233859355375,60.80294058108446,59.56353205485015,55.76489123514379,56.56964499057143,58.64307707258421,60.97186927847668,60.43552531581053,64.71668217858355,62.31954361864405,65.56210509747271,62.5526292461214,61.07754229667781,56.401541723345346,57.052840067201544,52.7520017196138,55.62659919417775,53.2094314420933,54.90228049503542,55.73065076963667,54.13766142863593,55.17791177784825,52.369884133567574,53.17333166456452,48.66078868934028,49.671645703923375,46.68174718230863,43.02429674906863,45.15377837815332,41.25358064936112,42.03628788394295,40.455098395501366,39.69831297720737,41.489722450238226,39.69318277447875,43.144359747605264,41.350745595410956,46.53729350542607,47.08741343272543,43.89926768397895,42.05850906180265,37.71866608069712,36.927079957895955,36.22241632098075,35.82091161171821,36.148878336264495,37.953370589504466,39.35322375990257,43.913614029404826,40.2021663278319,44.21301006386931,44.20553971155284,47.596339773170186,42.52389100464415,40.36419036516625,35.51216678711018,35.830826970311584,34.889783790685094,38.72391126056302,38.010551957805006,42.677507656311526,44.331176329416124,43.049991050991494,47.24601202891407,47.38653275189724,44.37333326004877,45.46779381034522,45.18944010976435,43.93013172419365,45.1948327858475,46.142479655688206,50.098363451850275,50.18136687574581,51.676713724403605,52.01712488314004,49.86599478629105,49.51498283775513,50.10409844208733,47.985833015020496,45.93083299837031,49.06693309257445,44.541832822237936,49.023391797750534,46.77871655578594,41.870302658499796,43.12202488853697,41.936388498788446,38.93372399082657,37.45092017536967,39.40099300199236,40.365496358552576,45.48623996595907,48.257275362941634,50.916347118937246,53.18512150006118,53.18358465951354,57.94081665079555,55.68362941633816,56.03023058149964,52.40416876439612,49.72723024542684,51.436816367907085,52.03836664870856,49.65371873529567,54.08050637035937,54.909319278081455,57.701889280872386,54.434856357552526,52.22140433453964,49.71139627373048,48.801711499999236,46.376025878666496,45.03335945006301,44.966500527390146,43.71562941205999,39.788195227766266,41.470809317601464,38.48036553395364,40.45686281595739,41.08426622724726,42.37636137184814,39.220586828528354,36.470144719107026,39.47296924715385,37.98315564086336,32.1481520924175,34.6577304859382,39.02739556154137,33.97739725219401,31.852951942878736,34.73730611409914,35.27477120384385,30.433944011335516,30.54896621578748,28.948962126518783,33.771777257590955,29.315897828906383,32.922080781218895,36.192468218460746,39.406276135942754,41.40074090660206,43.72140162901408,46.900047289200245,46.59477219293406,49.95861086508252,49.58465835983219,51.75930971167993,48.67792110653687,44.226131156934215,47.62144417063146,48.118986391102005,43.256443605091306,43.035443021757345,46.20057865437895,42.788254096438195,38.85222904995352,40.98796262147594,39.15393071678889,44.61705051666426,47.076339017405154,46.87287223542839,50.625976132692884,53.24584462009629,52.53464944533039,47.86365585896881,48.804515854344146,51.29527855407727,47.449626061010015,44.43850085220552,47.080169814407064,46.27676114064217,42.048467698606636,44.68031071674347,46.00350610713595,42.28215007991454,40.88667390959755,43.77415938612005,41.77562860469545,44.91871760963434,45.083947587129025,46.705118866667355,43.58854750166629,39.452493507624446,42.54432548284754,41.22247937949988,37.85534249621067,37.52473871065213,40.98705986441561,37.13560808184545,33.36455739811529,36.35526484250179,37.982423801156486,33.77355351322887,30.849114399209785,27.60361619965212,26.4460492097081,22.60056294378057,25.261534309543016,23.42833096068066,27.608225095564475,27.61380956760543,23.100768217610003,24.462060613579123,24.007222273699835,26.930385338543065,31.03365085804137,32.02121872587895,36.1325983430209,35.150509927494376,35.22445448817826,40.68808126397432,42.09965855441402,44.13990102460204,39.22621422354083,38.11098562084869,41.656041430409715,40.398011444570194,35.41306208427351,37.94268651524803,41.04579674575068,41.72358479406028,43.19467331872838,45.1772422400397],[31.149526635293395,29.9920663541577,30.5898526353324,28.749112857804192,31.5484127107538,35.501653754288945,37.82850030562102,42.218532613054,42.7625192411967,43.64790018516647,46.938745625659664,49.67672049133007,48.134716496241275,46.47463342364736,51.67761685396057,52.64681552872483,49.65663636374109,53.367402160600584,53.4998168652781,55.771548428488,57.730121873604894,60.22844247394892,60.148377639541685,57.48811874634497,55.72206352911189,52.96666666851948,51.77689369215354,49.43357129235703,52.30659455744947,53.22363328988984,57.78977850271272,57.1359799336375,61.27448998989612,64.3148258597927,61.1736157774536,58.501628324980814,57.25914448870839,55.523209029632056,53.642046631083595,57.87151625967672,53.99221363541587,56.69770359275028,60.59568293815832,58.63871316238394,59.53549691439984,57.36466968936711,61.516993004388624,61.425635086444835,56.43792155656031,59.42060459621691,63.24328265738186,64.39041112986847,65.77560224771446,63.253676052280895,67.86808718069454,68.79659200605451,65.00149504922523,67.15738602028684,71.30978946072615,68.23212325939272,66.95084981253476,69.3358532269213,68.48969391850916,69.24965388694677,66.1064450299413,63.15758216664859,60.885524489039014,59.28508440467602,56.35828740905353,55.62819774081985,54.13721798077051,56.34860664708285,58.96169397424094,61.30791570255964,61.553415892547655,67.76556265610502,65.56905382039075,69.08666429298356,67.08653731588964,67.0904723602491,64.94897629218265,62.76259217218808,61.08570147276234,59.515007251905764,55.87690696429553,57.062875425061904,59.48371716993799,61.836617780150036,61.75463458024572,66.19322309512582,64.14535925875607,67.68588909244093,64.74175045400514,63.170511794833835,58.50067551019934,59.452841671358144,55.15082899881499,57.50065902825461,54.89369331098485,56.29572196324195,56.896596648853865,54.762548292783414,55.75975793176748,52.46559537665567,52.72911193375226,48.219691208612524,48.707210635605776,45.45138580086875,41.95999928540715,44.5479782608194,41.00479055775727,42.147301818358464,41.191064926682905,40.497324135977976,42.919306679338185,41.132801778598484,44.734709154908906,42.98130255058817,48.48002458514412,49.08633979971975,46.12238910563379,44.22349285288852,39.76434351468831,38.677674993489134,37.745055805365716,36.58845381028739,36.497850022750114,37.89209723623315,38.74983704626294,43.1264935656644,38.88187619635811,42.53693370970564,42.64772467626517,46.394373643787155,41.51761187599708,39.92829436843223,34.70760420032123,35.812630245254695,35.47275948106266,39.34951492955475,39.03578782394851,43.611264618524416,45.49888793690503,44.00242450925798,48.02978380835677,48.34610700363458,45.33183522490792,46.434381529967006,45.83277419446575,44.88546296072446,45.75074536670006,47.182782397588696,50.788825168847,51.30771065519041,53.034084418157505,53.06870412988418,51.004340354733124,50.150926318592745,50.968356078975965,48.2167135350189,46.08126851605917,49.59784684503371,44.93173474607014,49.24096692173338,46.50784683234815,41.67144001114193,42.28441271581798,40.88608666860332,37.664263493630116,36.776611327476964,38.60565450248427,40.12021793227487,45.1203400429726,48.00275854304874,50.910927113402394,53.17422191697997,53.69220272930917,58.078750022356544,55.71294412308572,55.71493819957922,51.94567556655104,49.182545418372555,50.35877404735518,50.73202643970274,48.66757863133685,53.35254992771443,54.6193294263608,57.197837342346084,53.65469643409877,51.292753599788014,48.56417029994784,47.52072647155218,44.7844366062033,43.32935320783267,42.99264538557145,41.35942036546661,37.73349768027161,39.220851175439435,36.23819037858882,38.73440153267602,38.88940712681465,40.72396573208854,37.898188807894854,34.57039008602139,37.52241889518572,36.72921529859795,30.789006146215243,32.79801059520659,37.5565872461207,33.143658500361916,30.652160493726715,33.42139576530091,34.70537701553835,30.04531272737187,29.492488884613802,27.456135719722038,31.94914235265831,26.530718111541955,30.37415966818111,33.5879691613392,36.23279389113864,38.04001289767678,40.14265971354466,43.62968999295537,43.380532156242424,46.76088321986156,46.75978692012556,48.49405507020998,45.15027489009981,41.15811561600353,44.5698054389404,44.511364267903275,39.69028681363428,39.87198744718564,42.91621852863891,38.995419891984746,35.29257858490986,38.031070257065906,36.42505336374655,42.2927057821338,44.501291874989946,44.45344384399821,48.45385669858187,51.09535591190592,50.821783446715614,46.048596466736,46.89484101509954,49.80943293591306,46.2474560995922,42.958499028988925,45.8129920772641,45.40375527348102,41.059370411393445,43.23203695340427,44.937879755459896,41.667175505426904,39.65957590028314,42.198151315477446,39.88586727200689,42.768879150802796,42.96530904254172,44.07603900757931,40.94672698054015,37.16864956817143,39.85059544438868,38.11279221117466,34.94143400740374,34.66736090336295,37.46978408627297,33.426032990332004,30.112777657582765,32.92913525814234,33.93090623377959,29.632302406540312,27.06624228487331,24.473134278580503,22.392705845257183,19.167005527172037,22.082603609954393,21.31060741937089,25.71090428553992,26.752980103135652,22.145239103060977,22.95518638257954,21.67426263043194,24.76446909220937,28.79964545644083,30.742140065687153,34.67784002811682,34.51781275925614,34.663505802468734,40.0577944408453,41.30737982945653,43.8741875805759,39.14868486034115,37.79979203568617,41.649728266040114,40.91625036536058,35.920458629847154,38.1693350227774,41.65166467071237,42.62344890870004,44.135198022798114,46.18771811066809],[28.441955322696675,26.92768386460226,27.02627252041093,25.175360310466754,27.509641412689597,31.820473482647046,34.02294273769107,38.40996544281796,39.17682125869394,39.995358209191366,43.39523395504752,46.05423104725161,44.32921636737916,42.894128768867034,48.068536169522496,48.871841203515835,45.84333072717563,49.5949590078017,49.81820960837226,51.90481968025357,53.96365277243591,56.363553791580706,56.424950540494685,53.82033640536942,51.89445813786245,49.19108860015844,47.83477896432475,45.502067052975725,48.36813124688038,49.24239746508773,54.0230399467097,53.2061071687446,57.41140858930586,60.42420781874829,57.182995880797115,54.530873472948024,53.15888321628432,51.43199348161767,49.49357236043118,53.63134592608363,49.83172886693994,52.69193474042461,56.544705559886225,54.515623133426814,55.49736021074221,53.32486039780113,57.45993302391008,57.28151159752173,52.24905593874015,55.241034666633276,59.02081400830977,60.09358881518679,61.51802381157762,58.94743066508989,63.5671358881739,64.59076095935455,60.840757474144894,62.98695302620201,67.15553231389326,64.1415775894215,62.95291498212577,65.37629299379564,64.55069160502799,65.44149997282376,62.248711781196434,59.23916003705156,57.17990560238266,55.5485081528228,52.8152011515096,52.12442946174591,50.75991072039537,53.15496335123858,55.58105039653626,57.83902507353325,57.912708040013705,64.08270752685213,61.717456581604694,65.19190454411981,63.081087803590655,63.00203003758659,60.77027848663947,58.50837235384941,56.78403283996343,55.16029923115635,51.568395593426246,52.816964225366206,55.334749121998726,57.67480508234274,57.74148899273745,62.22144822390035,60.31300128188446,63.97491865470638,61.07276854926818,59.479354228832406,54.83258151868703,55.947898816518666,51.669180816627275,53.78898242094303,51.1522651866536,52.550349106789646,52.93944919010755,50.71199929285604,51.59504261939444,48.23949786527462,48.36159251884519,43.892955510607244,44.371140515269104,41.07420590576713,37.64542156458108,40.29003920017579,36.81009436379401,37.905647284633226,37.13159879197736,36.38483778061353,39.00212623640489,37.221683918039524,40.87511838115603,39.199621216774304,44.82880017318097,45.38977118470014,42.54462479848553,40.61255876405812,36.12900999939606,34.90892962859472,33.92141969399098,32.47809032536504,32.38563208474915,33.606726716228714,34.39506119909976,38.72156716758977,34.4474402039445,38.119107540602506,38.19913854268942,41.94542130980329,37.070485530474926,35.53088587096561,30.2752246359268,31.501939470793786,31.32719140808248,35.2134095845191,35.143306208404546,39.73734048668402,41.58968584571881,39.96877930375924,43.92628231531392,44.25026818291904,41.23748229162431,42.34163019077424,41.673084775583355,40.878427668474124,41.71621895425682,43.37270825444928,46.938621812008314,47.76207187112492,49.40429802237583,49.227875705569886,47.101019103609175,46.0979882326497,46.89045128914621,43.982551918644276,41.77815719166185,45.36880361214689,40.698280586562284,44.97089504352572,42.199876243896036,37.4513136553069,37.955845183099626,36.666893689458085,33.353667559429375,32.46801928863846,34.22137204141641,35.78310774457256,40.747353855983214,43.62577564001332,46.56624774210175,48.83481673516593,49.46196223103907,53.763711946619566,51.36906756379842,51.319420032822634,47.54257656400103,44.77073023043048,45.9078784423694,46.29322034833358,44.24632981592636,48.97551986641035,50.31216973561874,52.88973200841412,49.397431562843046,47.05223588449526,44.30130656393574,43.21929943618601,40.442483117975506,38.9361820504221,38.594289084812246,37.00271777097994,33.322459559140164,34.868435344477305,31.949446210133075,34.45175104268363,34.79637115302432,36.66219873710276,33.75625724949639,30.54038430568371,33.69558049782287,32.90587582992535,26.902715020804607,29.1655538543834,34.08964542088218,29.677071154308443,27.345236320535168,30.373549717305785,31.640150840530524,27.05600284088488,26.82027501382021,24.49220070999861,29.332880200993813,23.642012498715843,27.20690916299135,30.693701301740766,33.34973518163317,35.53719318794037,37.380384005644395,40.584187066614106,40.038523151956426,43.29189695018324,43.024196750374564,44.80811240410736,41.6555680634978,37.40000578025025,40.67903731679153,40.795855583900035,35.964720746976056,35.9046434412119,38.913568040908714,35.21614766841699,31.416718312503235,33.838226281450325,32.29403767023967,38.05676771123101,40.3829395744925,40.483318705566404,44.43665626923901,47.24758635317008,46.81714246929973,42.01844480220645,43.136819691056736,46.02657742385128,42.351911329284576,39.21733084442053,42.28053241963753,41.90453990082418,37.57611004933564,39.93461917426427,41.78831041671015,38.57664179141339,36.63860447163201,39.27942841792345,36.819415870791275,39.542153818985724,39.44212639069198,40.63721107255433,37.794486596909394,33.72652461009458,36.25534352711017,34.79912794960439,31.632477192099415,30.96470228620222,34.02526720831975,30.274183096415378,26.570719999201724,29.18594155618011,30.609989647050273,26.515149788928593,23.62885510594494,20.81885038528345,19.20471092299878,15.776286760518238,19.167644184591303,17.903864761010635,22.129964822000424,23.177750571797816,18.49629941509859,18.99507547485856,17.637249001220145,20.546576262365296,24.698934694576565,26.507270915357044,30.37426048888402,30.2355843554582,30.635428370038063,36.01252357659052,37.41755319996583,39.98530224807535,35.24414998112514,34.13360739840944,38.10229717590728,37.23930920904097,32.45319220137869,34.910803156431214,38.474104410574746,39.48925967029784,40.98863957192344,43.066987655986175],[23.81557661716079,22.79980890621711,23.91614023524994,21.71777855038532,25.37260869087968,28.52268684925953,31.054254251239094,35.39283428285253,35.65242967927383,36.84442605774264,39.99308109544193,42.65325524454549,41.604907708907994,39.84902096056612,45.05112590745399,46.21083032856788,43.602719738412546,47.51627665544194,48.13878668530661,50.570640469666685,52.83197883136316,55.669574019285484,55.79798300431799,53.47464111331037,51.48750795148431,48.328313059856804,46.96577637239785,44.19126465696747,46.66442652305197,47.25351645098497,51.50853937811891,50.808640240679686,54.7658411149125,58.048097426369765,55.154649037339965,52.729441457435605,51.500993689153546,50.33594603327012,48.80131016340456,53.51780287678178,49.77172169543921,52.15464806679719,56.25631269934533,54.67648832037216,56.0135912399444,54.28723938300732,58.53304088400706,57.889584503669724,53.022758415715835,56.56878136513107,60.066156739361816,61.00459604493159,62.12598084366533,59.182458051170755,63.63167500951132,64.74023924913998,60.76001807821714,62.4802132470902,66.82294118576668,64.14615358128785,62.51475750257484,64.46207726463926,63.254066337053935,64.26820723298059,61.376401403729176,58.1423510624474,55.69228169540117,53.68723108602719,50.73545615644051,49.55521875157925,48.203459866700086,50.38097392861391,52.8738502799912,55.59540310140648,55.61497549527262,61.91664319243082,59.996764412989414,63.30827124104958,61.56028969297931,61.94630159422664,59.69469898595746,57.929369616671536,55.993464659247266,54.87767819173862,51.36625526722233,52.03009259799782,54.41132714357956,56.33813305387473,56.25686820088955,60.287785646670415,58.12945039605367,61.52407969407451,58.356406364653566,56.59852788177483,51.87557152713309,52.59231573415709,48.25357955090714,50.689216478523534,48.02419039620121,49.3028257979333,50.36295920716904,48.38048388440562,49.76159610102658,46.65207515803337,47.632916554957234,42.941267017980664,43.7819097726202,40.92315722567651,37.07071605883195,39.14956494665299,35.26170719630715,36.48556998940031,34.98151153144781,34.699389093140596,36.866133357703305,35.49225101691387,39.214271984448416,37.964615213673085,43.441682964110875,43.457863539034015,40.400336326208944,38.18035779416468,33.995961899819456,32.653495186651405,31.386334954452632,30.902872333061083,30.444753682599558,32.48623833713204,33.72526935987794,38.43755493366998,34.81390574633165,38.79717191133416,39.24364104591943,42.3940513824228,37.650332520125865,35.44879860592363,30.597576338709704,31.317027823635488,30.78722982873267,34.74141744999803,34.91930684771026,39.82160860452563,41.067744965253205,39.340102149338115,43.400609436665924,43.1587968527496,40.01856389342544,40.660418306583445,39.99401098213248,38.53262386654734,39.38024566929604,40.32597157952743,44.03587018281229,44.11383212327168,45.874820884201796,46.23894225403101,44.336127880611656,43.7996837911284,44.78409615267959,42.484386112055994,40.8979383517359,44.40002174284551,40.25056942669762,44.77165578778138,42.769097070823975,38.29611993217453,39.26200210640319,38.61820785086918,35.251407013926034,33.66977978046196,35.18744235038288,36.08032187134376,41.023905379601004,43.5318309126781,46.06986743253019,48.0255865497996,48.128675298884545,52.77209883298291,50.846366109217506,50.99773769189578,47.716632932874425,44.51965791217032,46.48276777172283,47.36422779564594,45.158509473781244,49.86745344615796,50.94035989494295,53.84001494115595,50.90592682314449,48.75272174746868,46.170626499140546,45.07038786359201,42.41560751989796,40.73088425127231,40.40715493683663,38.98780419862113,34.81301004850366,36.11255964789198,32.80954159993492,34.49640873479501,34.94410912333033,36.00932550294749,32.92244491866837,30.157520858698067,32.9869100588405,31.369909065370592,25.619258043295535,28.076798184847693,32.30883621441113,27.22228962808081,25.102713166821495,28.014060324007076,28.515105545701072,23.68473537703052,23.90050295772808,22.288035106577325,27.27672768187107,23.14391966524696,26.551000037775975,29.859243755982988,33.3464749520804,35.56813490256579,37.91658978344418,40.827063587569675,40.508325897146825,43.8825665940388,43.40176749394026,45.861278884139985,42.88880569823817,38.257009591997004,41.76551997171712,42.640406040353255,37.766113013382466,37.447203211833006,40.88386886904028,37.820094848125734,33.676176640097616,35.857867594817066,33.46391983242559,38.82712865798038,41.19451342058253,40.670147397766534,44.348747371627724,46.80230743179991,46.09781746492218,41.48862813600191,42.24532931281718,44.664277792550095,40.86378501764819,37.79097924304009,40.342122431798835,39.523916480866276,35.29022316351277,37.94030579750864,39.24366666775603,35.52797972569721,34.15409460357554,37.1088911543362,35.14352469981066,38.33127288882741,38.507874659060654,40.304502457531434,37.19117601975182,32.939563065781996,36.24083935933643,35.09443083205558,31.632965973288165,31.40485410527432,35.21236361508725,31.479452431489307,27.49050439496451,30.775932520090628,32.76949192093288,28.63322985726645,25.500389071597944,21.819963550638576,21.445942958624904,17.162885658000306,19.42979205472135,17.03648726930148,21.086608340298145,20.91530610985157,16.5149100000262,18.148302326886448,18.122280481801027,21.187867069902808,25.003836364253026,25.93636282035423,30.187309781915815,29.264345404594657,28.858869149093735,34.299992840422554,35.526618206544086,37.66489101899216,32.839573569572906,31.475529733794456,35.03778087371731,34.06643415919082,28.94743979333754,31.319484515309377,34.55211194601115,35.36664690816332,36.889583781247055,38.95322069192452],[25.13085030373996,23.4957444907871,23.688233066937965,20.730728708867744,23.418499896487198,27.24765755900683,29.142962203864375,33.67175927191647,33.925181241826124,34.48190993537882,37.760904045933124,40.669522612112615,38.935450893979784,37.138454191959816,42.344085354893565,43.35272231616136,40.317074131305496,44.00748145052105,44.20605006104903,46.57165299969536,48.60566267526161,51.275716465914996,51.26262391066344,48.76618661708884,46.90751054204588,43.94115257050833,42.73940370568705,40.24881380279588,43.05884445001145,44.02807491927228,48.4418395778808,47.97474489621764,52.09608193368613,55.06126402861557,51.98474908740487,49.27171061313766,48.20507181469209,46.4908828247901,44.7745013054897,49.34024495464641,45.407312561140564,47.81748296310407,51.85180996471188,50.16045386595451,51.26246379788251,49.41245018231682,53.661633506616475,53.25035558890977,48.400536770646106,51.83341799365567,55.45589057454701,56.58817858345461,57.69979377472541,55.00147409209076,59.50896113317694,60.37434648411072,56.41746109086914,58.388024435193564,62.60229297885764,59.66131460775213,58.128328080688554,60.305413821015236,59.32482104264467,60.11811520213873,57.084966832186566,54.0474469605583,51.653800257598924,49.95244953826972,47.0040259369536,46.21272833208272,44.75324071865473,47.02287351177809,49.56651578755018,51.951273467655646,52.15782818266976,58.389381432981196,56.28243775446772,59.79597681170568,57.90693161586497,58.06735866223366,56.023194593765545,54.06281067792549,52.477214498641835,51.15885447377322,47.41710791359596,48.31107248342486,50.550571116571575,52.86860428750922,52.58526261730611,56.963480910234374,54.80991416317898,58.298062933240686,55.35936412022315,53.84391222912911,49.187187727289256,50.163090152564024,45.880701199081265,48.34532907302012,45.8737102434164,47.611319625593744,48.013317252372126,46.28880273597081,47.09183150612262,44.2139386799002,44.79712789329798,40.36301964493285,41.44155519626841,38.413440848483724,34.865117296782586,37.027531334055624,33.18758051454955,33.79395558829153,32.47410193006709,31.56867734784165,33.68891339785292,31.869468732081973,35.448997815884276,33.787734913824345,39.269936279137745,39.72850472331191,36.73395983314948,34.809717588640595,30.366506134946928,29.324124260390782,28.54080083628307,27.65053203143946,28.09641102246975,29.624427844699884,31.006645688502594,35.50145197780973,31.839839795634973,35.94267949312082,35.838836019193295,39.16054262758494,34.05187572718191,31.875057176795426,27.022997655179257,27.39364017859889,26.651015600640957,30.54271272814556,30.261598307317204,35.03007035815333,36.592523712715504,35.07150123002274,39.182800844776295,39.32126167077468,36.28744476268635,37.404950500761515,37.04078218840093,36.05589441442135,37.34384299025987,38.706788079018416,42.65477295824492,43.32386126526115,44.621012721956305,44.54962926870481,42.23623158915922,41.63657621418222,42.13443231193264,39.76871257533333,37.559456348014585,40.80252733049728,36.25175658294587,40.709820830052045,38.44957782835352,33.68374647474835,34.84003689616857,33.91253841609824,30.783001772112392,29.173272329016154,31.0006802692886,31.95035100494751,37.0430983188961,39.800678005097915,42.50156823592428,44.79718982286127,44.95042752048202,49.6011975370223,47.28291881767735,47.57507034347529,43.93712543326981,41.26096557343668,42.96889918276816,43.623323473272066,41.220893322597604,45.69860698268053,46.607324606171645,49.430789542687435,46.30306418624643,44.12936127037614,41.61582434633295,40.64955663735416,38.203120900725,36.79233795192093,36.76999705889691,35.6862239103442,31.630846751369244,33.46532301158539,30.641625590710348,32.50682463978991,33.61053718008099,34.85853664491462,31.491186606198934,29.11320005732739,32.50799351011721,30.908766744392178,25.008320540119602,28.121353260332107,32.7116000010448,27.583241769606296,25.87914233977956,29.27711975925888,29.65593036846412,24.965839793671147,25.844875187427807,23.76143885946367,29.239996996025003,24.500880991731723,27.453036973818072,31.191432027096443,34.43895783174046,37.137465529703334,38.959703917233604,41.54052838730131,40.67117940574787,43.7552453376865,42.830335276465505,45.12388514927937,42.46865611274857,37.51715237445229,40.6095639151722,41.50098131841144,36.68768247160281,35.94672829978919,39.01485820798081,36.14983095779906,32.067134168418015,33.44544347384929,31.722728109822373,36.84046139611698,39.55508227192951,39.62942007201816,43.22701313208352,46.16804291614244,45.09328510968982,40.406148382079756,41.90146520672474,44.278149371774106,40.180325119872506,37.53590010057991,40.55751524860302,39.77310685206883,35.607673044084606,38.662270391986546,40.22921643285161,36.58718135307841,35.41505890769557,38.52257690915277,36.28709624700594,39.11916948838774,38.698742432716465,40.5303064781867,37.99989427424085,33.30518059192359,36.11950809756305,35.41133135980313,32.07950287894216,30.988563814585806,34.983527577516845,31.773419775134602,27.294834535091912,29.86065594638857,32.33101958871799,28.617578781231167,25.150731240536956,21.47921012293446,21.44022317360983,17.306120056310355,20.622734252675265,17.669817489811056,21.305266064030448,21.041653000071495,16.453728406494175,17.320611499818128,17.029778428291475,19.414405482510034,23.692645113167305,24.119576346602734,28.105516828316286,26.96347894650168,27.572201646390546,33.02040528242953,34.790507368518334,36.74285395531746,31.74847136185139,31.187853264054432,34.93781737699076,33.30632302343756,28.7524739365375,31.79802273849469,35.02646617682701,35.750423487475786,37.191606627034794,39.23054891438357],[25.699359883562256,24.587506146749366,25.678402009818765,21.82764508754625,25.520087343370633,28.057315689352794,29.786394505411337,34.316358421195176,33.63481234673639,34.026957376249676,36.90316737789551,40.15191259997369,38.77687956950406,36.245061288109056,41.43488122266178,42.932931141661236,40.03430116778479,43.53998183066394,43.596025917860935,46.530443519089225,48.37258054827267,51.4684807087723,51.17427321300757,48.76052483965997,47.231752320864636,43.927087890876464,43.160446081252246,40.506076938466315,43.18502047468955,44.281438766840274,47.87544897330449,48.041397069831035,51.90109397430088,54.84265761345021,52.145358191035996,49.391139823258364,48.85899987964236,47.210958392642496,45.86263121181423,50.95645226749613,46.84185933380875,48.498220908287166,52.74619166949709,51.549971244444066,52.661464232784965,51.188254256354085,55.52597948310859,54.98179517121824,50.44992754442867,54.288130825626816,57.75484657587142,59.02476114609921,59.74034974476674,57.000306083958186,61.32039698073593,61.89563947424509,57.69742626729207,59.456296214699506,63.662256715121565,60.75437901826922,58.724109533435715,60.5385902432903,59.34925208483481,59.84886817496821,57.10751578670759,54.14864885823357,51.08504355665716,49.34963103623427,45.89403772486685,44.90529630150841,43.16387632943191,44.95892114876661,47.905502998774885,50.57460650765611,51.18164240212482,57.48629809412936,55.96001021154887,59.531661864197865,58.081331221827305,58.63977604865932,56.938399812834795,55.44472996296089,54.07259063863976,53.18337921428488,49.29032383256852,49.69024980074584,51.46511622042085,53.71963636644901,52.85258185083749,56.98248900949536,54.37168588403196,57.438185213723756,54.40731200491368,53.01273683791188,48.36091915293573,48.8946770810184,44.62117489812919,47.80446827711392,45.58840966888831,47.65633734042669,48.42678942964776,47.3957356125894,48.304291100224276,46.05245532095396,47.326670535497755,42.934845221123034,44.58608259190578,41.936898972181915,38.24267568979145,39.80857116536177,35.61294303995542,35.818692498863165,33.682715208477504,32.76426966273882,33.966719216605945,32.1834024199268,35.500801471113284,33.806231492533264,38.77846349323394,39.149623163062664,35.84814276930003,34.01266669430271,29.803059157658154,29.206956339098088,28.743705624023,28.993567323728957,29.919711825945488,31.993178236328234,33.99855984195388,38.61763358459668,35.66846314628498,40.04287163811356,39.8488225775704,42.69721979750102,37.500149570676484,34.70113910906259,30.450317656359033,29.840116125643114,28.316866231536107,32.040891868920696,31.196434415830364,35.98553938570469,37.221896446973595,36.028297506555916,40.303439431316946,40.2010350651127,37.20972228127542,38.276143734469926,38.33029794973742,36.89994269587739,38.652337647702794,39.303427859901575,43.632037312301264,43.635363440072915,44.68195246463321,45.073369338840905,42.715558970428965,42.792739401533055,43.0335477937782,41.530634163553586,39.509951784243164,42.222766276473784,37.941150627156546,42.54508815887773,40.930094276187596,36.16167904086436,38.0655535925165,37.368549116772996,34.59729334658057,32.367295571318635,34.29315006538247,34.55140674943125,39.672166001475595,42.235342626667844,44.578115084308244,46.82840521722953,46.320665130837114,51.38619665292037,49.251194146845904,49.953954150363046,46.551951074461606,43.99912870600818,46.31174036601238,47.21569482048845,44.49795060528006,48.605900564337055,48.981079815318154,52.01687016156487,49.2409085087923,47.25415478480325,45.03664150262766,44.237544200989085,42.19029954387997,40.9429880913801,41.19947701044465,40.50941232898329,36.260137948103086,38.201127488674175,35.393689997357704,36.65005705682567,38.11393604477677,38.73660645890383,35.140948919267466,33.388482134923294,36.63050843455981,34.326203721221624,28.771215923611024,32.163971099081664,36.135845409701986,30.45834855536855,29.132006340917723,32.42144922479137,31.986761964868503,27.20750080603199,28.644094807333865,27.22603706680916,32.704356288628695,29.164069734672974,31.95876919261342,35.5275329184321,39.27140760642695,41.91872572133527,44.06377424165817,46.45634098613054,45.68916044190157,48.78381122505672,47.627021740175294,50.32013051484366,47.85778288591145,42.65361727616344,45.75586121283917,47.105356043872845,42.32106944229643,41.32959393952427,44.497952016607854,42.056390987899356,37.86373370919085,38.8155051601759,36.84915237909865,41.497167266698234,44.35459268307827,44.17961275275686,47.4817129355914,50.26969740239381,48.82077944160905,44.3332830691613,45.76360832876735,47.66200431650368,43.37323022329916,41.00245099309655,43.638572301440284,42.41969502219497,38.45212048023919,41.860118888722,42.922122625624816,38.82172724905465,38.30931439991109,41.68608131662693,39.88529064395964,43.01558431197297,42.71411702592153,45.003061623057654,42.38126590684133,37.5529029372578,40.81139757526374,40.38403044625422,36.915285282665415,36.00542543766886,40.43198810606794,37.29500346820364,32.687393517126054,35.48444406011086,38.263042693416345,34.56481827074904,31.021364032354544,26.994940395593222,27.463203926160087,23.058557259953922,25.76782591893264,22.27367370786323,25.612083425169676,24.275288512281776,20.131263249494985,21.69422918169723,22.27739369042958,24.490638702802535,28.547739545399725,28.040194230299758,32.104460203456476,30.077012995415327,30.431619002787702,35.80338816761904,37.63278828150776,38.94553266808197,33.85571137566254,33.46242814027946,36.717362683659616,34.56322396435896,30.0377525416199,33.251075577866814,35.92687729930573,36.27753830976054,37.65074862615516,39.583060127966704],[29.491537937563873,28.371580931981512,29.34850434912853,25.46386846551387,28.86606094509913,31.614296909937515,33.14719462161381,37.7171376151603,36.9545621533055,37.065390431489675,39.90766336766227,43.308424998123066,41.68544053748354,39.0045823427692,44.16031204792538,45.67119780731315,42.55284797003979,45.8413561149713,45.50608203473841,48.516595341317995,50.08337665997924,53.09941277827053,52.568620088828474,49.96467629870331,48.69824200185355,45.54662398718597,45.04915905498356,42.63498318339751,45.541097867099694,46.910059600725255,50.43612038711295,50.855269270655334,54.746682381226044,57.49753115527462,54.76321632188393,51.823661058856175,51.474977334742,49.4563935948777,48.008628724702845,52.983066124350664,48.705561976001576,50.29541743818393,54.48930080061555,53.23194006317152,54.065915943312575,52.45682414207882,56.781301297851186,56.52891030381348,52.0371409405892,55.69796984846766,59.3099442327482,60.76950358228057,61.48965280177545,58.99865382798294,63.356882847711915,63.69978877944248,59.52253754265036,61.4886938688895,65.56699546125931,62.408652877868626,60.416480963210525,62.383695921817655,61.362061249818396,61.5829893178766,58.782977588332706,56.04721740390456,52.87334452565645,51.409904782909344,47.81278036778807,47.08340246382605,45.16262237252322,46.82373376437654,49.96799864866047,52.45081091070633,53.34882219100053,59.59708897388815,58.084831493384485,61.81507050090763,60.35128298930149,60.796035621319106,59.30034043409484,57.70190033902489,56.58976872399221,55.56402328857641,51.51859755262063,52.077122448850496,53.703489314854835,56.22688070411814,55.14263441370621,59.46175303565255,56.7698336639031,59.78516610648428,56.891778657694225,55.679397624303895,51.08354858925073,51.6442660337254,47.421924702810614,50.76591140164632,48.68917845999047,50.97051277614382,51.51986894950928,50.642560796026366,51.3053034118934,49.16578050529807,50.21732074138443,45.953090252373165,47.62070928658205,44.84273299887043,41.30207186383759,42.98649923157398,38.858250336900625,38.85386547498564,36.81614687352408,35.60208290147406,36.68802202045172,34.63094510264042,37.768298255051285,35.717003964453404,40.519101150694716,41.27330676520248,37.95791058837236,36.39382967866696,32.08727639170727,31.810153666810344,31.68134055722951,31.797409273392933,33.131101906132656,34.95031333019956,36.940625967685435,41.42177606975547,38.32777162599485,42.662225850270644,42.19968824552633,45.25108645669437,39.883716752333704,37.21772239203304,32.911716618969166,32.198441759418216,30.537537681724306,34.16311717339013,32.79760787868815,37.378333415566566,38.92930549397227,38.00503206523531,42.315793244105826,42.50742411397364,39.618876946088534,40.987487691758595,41.232955506732964,40.016160028151326,41.949717879370475,42.71545460162939,47.11597100514502,47.23451404793894,48.14485515762912,48.439979619157185,45.938375105835995,46.02707996684558,46.047557714166295,44.538597038630485,42.199102774913264,44.730608819720004,40.18991540662694,44.716152069806164,42.86543877999453,37.84170525283347,39.82569580946337,38.75700633607672,36.1945729753172,34.121383262445455,36.2983530515845,36.694757298113736,41.8911949906484,44.63715801156904,47.09611000922039,49.545937755103026,49.06835165125394,54.12538385880296,51.75535223484385,52.52671083902782,48.88295348891265,46.66089023475417,48.7196582201435,49.40970104239781,46.62803559149782,50.58299300551786,50.86319826899893,53.78969914184101,50.770763069121756,48.72762137510699,46.53547013405952,45.840719770060005,43.90338758524176,42.85924975665191,43.24233255297768,42.61213825663342,38.55258806130404,40.7035799242078,38.08122115316709,39.599518007786365,41.106025867812825,41.95845989520163,38.36539739987077,36.51034130751067,39.87123159822608,37.75684358231892,32.089820027146885,35.44673928261881,39.61073886641334,34.038063343073865,32.61392404313644,35.908518587186784,35.64776978642781,30.852421669135765,32.09921626060359,30.566015025485427,35.98639829886086,32.03970200466352,35.013780851981664,38.60827800636362,42.154958088472284,44.69959533494148,46.79458859611205,49.369895005985725,48.5887669083368,51.682819847395095,50.61193451047001,53.09065676743526,50.53938163067951,45.45694619674071,48.49578129808369,49.57162547518915,44.78139121705445,43.87591445524675,46.877147590240455,44.18256635725871,40.11393208777301,41.09523652771706,39.4874526825305,44.26182570688568,47.15312848102063,47.20410291493679,50.5939351150227,53.50692600879806,52.1045186473969,47.55158671460646,49.102068734248626,51.11717814441688,46.82886651183069,44.44805683770863,47.20026350716389,46.05933570822088,42.055782655503684,45.397927716786015,46.55655104032809,42.518457207639564,41.875665350960226,45.181880195673784,43.28485188606623,46.35744248328057,46.03150399401741,48.15724078833448,45.5374955868287,40.77749444765663,43.864326338565405,43.29188230686428,39.877183781111086,38.88945727374051,43.07417890303472,39.843304965476655,35.35373664134155,37.976977258856,40.518819839479434,36.75907295611454,33.32094217040098,29.559741084803072,29.519348709119548,25.33162146891767,28.339582845507884,25.23129489070931,28.766251166587693,27.745047861845283,23.43554318093884,24.76637851925706,24.954708571516047,27.167484305024036,31.410480224792465,31.116563439964168,35.078856408730154,33.1772298611737,33.84107317963461,39.22198723604646,41.14114432878409,42.50241770472572,37.39265660890215,37.10349336215748,40.42645412687268,38.20778771577739,33.76445881309976,37.013502154055566,39.70545202471485,40.04137466433128,41.38758664498274,43.28487141041745],[31.95360149639487,30.449114412366313,30.781377910302112,26.491086688264303,29.04860037312787,32.20493088800994,33.15537925347546,37.778927679719644,36.97396615869437,36.47723198186362,39.35001599616748,42.95853436660293,40.73199818072817,37.98104817197145,43.05102322993385,44.43750775664617,40.9325948926335,43.9030401360462,43.05574306009239,46.037748260271755,47.28459422301593,50.12717707407851,49.375686222824676,46.57351784964245,45.54619741862906,42.62467258307652,42.403106549364765,40.3422719116784,43.573103734844935,45.346028142924716,48.90985803015247,49.62421854885639,53.61565695765712,56.01830459431596,53.155210377356696,49.9383534411404,49.81400083571965,47.233933310747744,45.63682902184542,50.42273087872162,45.962977258803114,47.48392554795152,51.57841489568676,50.24847197005366,50.77596732033975,49.053959494285465,53.34993981441754,53.38875122781649,48.98989208417267,52.4888635108807,56.21532669734766,57.900819338265165,58.58116506490841,56.39779330975962,60.771748696228045,60.8145779932376,56.678604995100194,58.900949132366314,62.801668515883776,59.35654416510095,57.44560072371628,59.63153899638799,58.85818218027616,58.78278703489449,55.8688390492438,53.400817132696936,50.22860093051056,49.1331997524745,45.497997490940314,45.19863289615867,43.12891500498257,44.7938831976214,48.03615160686658,50.151792835639036,51.318659692746365,57.446502874364704,55.8086745924941,59.74162964277448,58.17942141150641,58.409867691212455,57.18338528409026,55.42484856381458,54.70772900109789,53.503866413988455,49.25087538992729,50.018781101347685,51.4340851482514,54.34831212809698,53.00535657029334,57.63642514175191,54.92605644669398,57.970580774648134,55.33291012892363,54.395965779636235,49.914049811075216,50.6850171861337,46.56893105772497,49.96874868601757,48.12259018411465,50.81893698067077,50.777206875729775,50.183777396101505,50.30634926472485,48.438241785837945,49.125615855732555,45.16891944940337,47.027247000641324,44.14646552659957,40.941102767203205,42.66154205055438,38.653550051374786,38.089625106928786,36.226367999519056,34.44349468118224,35.3636080929719,32.87779218306152,35.74155821112854,33.22514808979521,37.856466768868785,39.13068270257103,35.89380480446368,34.721945486363346,30.255635073086783,30.401631101145725,30.8262775549656,30.645157791690227,32.819565090485,34.14705508428953,36.234012551900825,40.407177140194854,37.36112409508397,41.693229991112624,40.72290877972078,43.87861667166269,38.26947533031137,35.67965903095375,31.5406202881467,30.427861855432116,28.500379655991292,31.91026255867501,29.897746594470064,34.18939858386391,36.09316898818126,35.499977456920554,39.81087585501642,40.413043244545094,37.703948975998166,39.548716103562576,40.12625710999033,39.360108707344196,41.680688212827846,42.76763329173436,47.31991745948517,47.91321481034239,48.412861787124676,48.34440685735198,45.50599563932704,45.569755350769704,45.124549094564316,43.62457171564227,40.732423210630074,42.91183197412419,38.04180037857129,42.42156586745563,40.35410401823374,35.082559699545115,37.29756078457898,35.90024256367965,33.72367378550585,31.66907845122644,34.14919200452049,34.55957913485243,39.79502149048668,42.74448294196055,45.312449069715456,48.06781195858032,47.61111315409331,52.63231989978427,49.902899295597884,50.82536210153177,46.874376602735445,45.22542182072013,47.005594065683475,47.45098937612184,44.50747720831643,48.13318956425529,48.199376650731864,51.00828721227048,47.805527555314555,45.76532468631424,43.69597400300696,43.18087123377569,41.5261894717778,40.811741234354734,41.494875255066525,41.19484468639335,37.370369206540275,39.94344297745516,37.791323751365695,39.442301125959894,41.41311633571621,42.41647854318498,38.68791935039206,37.13884553694073,40.84229670450425,38.80991099212241,33.148854451023155,36.850215279751865,41.22330602140817,35.73198817072259,34.5710656386766,38.12528899205927,37.8408478043454,33.19547926342551,34.77270560831673,32.94051040167849,38.58693143733413,34.21355304344832,36.91365344929813,40.741750451213946,44.060675330307674,46.88117569825654,48.600360854833816,50.97169795022111,49.81984921279604,52.68254306992355,51.32498769528842,53.61473939902116,51.3002695018582,46.08012992528088,48.766356888146674,49.78604914215146,45.109079818811864,43.93294948960414,46.578100303498985,44.02788111027517,40.110067179261584,40.47890540042979,39.47450088087579,43.9857308240352,47.09670044934094,47.62842279018452,50.92975812042127,54.19224188830825,52.53826287518233,47.97269330987057,50.06141614707877,52.046826156199266,47.59014071960986,45.54444783243767,48.61850866675848,47.52964247460874,43.60929073963375,47.176517393077674,48.530417976517,44.594936678026016,44.05434838682113,47.418862668090085,45.33089923299203,48.126699449254744,47.39267156438879,49.487354878055484,47.28672410137863,42.29714480905578,44.984412531207816,44.68373255976556,41.40634603437217,39.85319724221102,44.05068442806876,41.190001431609744,36.48530306171214,38.5504837852644,41.3165209297746,37.88514657862434,34.32757333244279,30.723622313550464,30.78248123225072,26.848270679991455,30.413302625502023,27.15237886250934,30.395899623409697,29.4114624274152,25.112874418883404,25.90388547798316,25.86552053785872,27.545323884860544,31.957111166237794,31.34271582344122,34.969084510146224,32.94802848644383,34.392114525845656,39.656992286453,41.95490367238817,43.16059217246191,38.01092510671037,38.323663504068165,41.73997914908094,39.059499640882756,35.12451275092556,38.79150906808871,41.45494296681734,41.72085293912518,42.98378937041009,44.83034884378343],[33.62463443205355,32.34318513637006,33.00308887410847,28.302772632847862,31.163307537125608,33.6291857865882,34.34630451377412,38.887903785472076,37.52535717334046,36.78995658968731,39.351033864636655,43.169636005846705,41.06591261461115,37.86512600447646,42.813025969016984,44.47447074132251,41.01974765408484,43.74052168641594,42.675515041406506,46.00548686752346,47.02460912006816,50.090149359473436,49.09703028526637,46.3370812993717,45.61361026109814,42.55182019776353,42.69958558847233,40.64192243593203,43.809615134948636,45.73549885739386,48.71763848973453,49.916013599552755,53.71664603894811,55.99767783879114,53.38350517342283,50.10853402979138,50.38896052606705,47.75928322460979,46.393401309958314,51.431752749768236,46.86753475365389,47.84941390665293,52.021399656316426,51.02320878208349,51.489471430138295,50.02001836321378,54.3255300146122,54.32961631782206,50.20568931024581,53.907744168212474,57.51581324852155,59.318841521947235,59.726335185277875,57.59249745767465,61.813780041842804,61.60197678426067,57.34554404831261,59.462203512818014,63.29115245637497,59.83337918182542,57.61622944522611,59.584827697316506,58.73311917327883,58.38406195875259,55.66980718736143,53.343138695264024,49.73673992324168,48.72403847830814,44.76478629105074,44.44615868300982,42.16030139273309,43.4548453255184,46.98208748431336,49.17516802694462,50.68749524381938,56.77943856009768,55.52633988722348,59.51520987289961,58.24038936031415,58.688817320584825,57.760116903080316,56.28912259238363,55.7972430012931,54.843745736861294,50.495639291069544,50.97777049251921,52.03005503054212,54.95880619431237,53.1837993816681,57.67853579758221,54.67880351593646,57.413748319886444,54.80142300855836,54.02629120453028,49.6242439688808,50.14020085283815,46.10909866837485,49.96141831572214,48.3599284138148,51.33285225396918,51.39144049944781,51.298841639315015,51.374045983889864,49.96272923874858,50.99415500954037,47.15214821986037,49.360053840737166,46.70516135004895,43.49363294509108,44.86698175582527,40.72175895457632,39.842174470776584,37.564385369545114,35.69842960850313,35.99480794004784,33.49363910380871,36.05449961886221,33.46158341227605,37.59163772691353,38.9152960993865,35.54909675940768,34.57135471282184,30.34284410469386,30.886440332859575,31.62907920960081,32.078370619040925,34.62819055348526,36.15453311235133,38.57210518446229,42.72020612917456,40.11892749327584,44.56412644883776,43.48806189805408,46.35022819496277,40.71777389762187,37.81283712519044,34.10994687588267,32.41030311774176,30.029067822804606,33.202714742028576,30.75515781141509,34.88730094904645,36.602068981583095,36.31124735205031,40.647363887447675,41.16813022484364,38.571699727521654,40.45052307459394,41.34596645625932,40.412127857189745,43.054453259949206,43.76763125917829,48.5236197366102,48.81109233467951,49.060102742695214,49.19713734348661,46.291977821967414,46.76510819435943,46.07074788264185,45.11950435191104,42.278666790208746,44.03158742488245,39.344371989855745,43.7205385033307,42.05455682082771,36.83597923988106,39.50854862483676,38.24085254966186,36.364070139214974,33.97968952585866,36.502401112197504,36.49163577156119,41.662396626111594,44.48525369200395,46.81932713350806,49.57259032310416,48.71261344544811,53.93735497997126,51.27965980513613,52.478548202805634,48.658998828157145,47.19815393608084,49.282443143326816,49.83963236145564,46.708992094589775,50.015730306337076,49.70453398391863,52.59915855215702,49.63002453265879,47.73739405833725,45.9016647240533,45.517372247637375,44.164893321258035,43.594954318611265,44.46918339259786,44.43793991977684,40.5562920340799,43.2118925459982,41.13001788144133,42.45576629014788,44.670999151263075,45.352616426876104,41.504552003347165,40.33345613646057,43.988231532458556,41.6076093877548,36.160217635653765,40.02817469032328,44.097091476673185,38.372313498038146,37.44804659579459,40.96746906667433,40.268756862108056,35.65473761736978,37.54161894651358,35.991947608292364,41.652431532882055,37.81456667684437,40.395427947979385,44.1715683888354,47.7178048187825,50.56349799887849,52.39746125722793,54.62997850721779,53.47731913946431,56.31194500967041,54.78075697070624,57.26961295256143,55.100245892204114,49.7170139834352,52.35959779807959,53.636212259784585,48.988147935203,47.638271222789754,50.29555483606009,48.01296066250657,44.04867029846703,44.11677826618181,43.039261505248575,47.24503828287749,50.45408029963083,50.909697379720235,54.02439284354462,57.245391536615664,55.343700692240475,50.905824799117454,53.03542985840084,54.741775128789975,50.169338173574126,48.339366711162235,51.2423341611974,49.929400229400784,46.153938106157014,49.931721562299224,51.03981134258407,46.89728033105686,46.72985520680449,50.23397294937688,48.3520072360008,51.2556051652301,50.521412940012496,52.85859719160178,50.67605255813634,45.584582877820175,48.44697628637863,48.338402960283,45.005577284298,43.47182388502049,47.90751601845457,45.13313778630991,40.319623130810434,42.449420629794865,45.42016422648668,42.029183912266156,38.40054413995827,34.613550042809955,34.95842544435505,30.878160509582077,34.23009921136076,30.6843771863865,33.75274310269839,32.2796636615018,28.220666455517627,29.25911197442183,29.598067754651225,31.159365187545507,35.458194328002826,34.34873445286944,37.94463127532691,35.46352831086415,36.86620781768024,42.01545270934443,44.38648921421551,45.20419843147196,40.05020262888399,40.55190673251092,43.678944653932305,40.65637240612526,36.89426210153152,40.6708646429936,42.990014982783556,43.02795753799471,44.216750019722966,45.96648592116965],[38.12239765354164,36.699024588135956,37.0506601473451,32.190374475694405,34.514314982198876,37.146785790592105,37.43657599939372,41.93443252509454,40.4495302734518,39.212401925011044,41.668189071713904,45.65689140211261,43.12935133820679,39.78864289558871,44.545105712213015,46.16332956317374,42.4216563505464,44.715055771905355,43.05587381269584,46.43317705404944,47.001332429950736,49.907125230682844,48.5688562900971,45.60277798257029,45.29952125816892,42.512249017492,43.092633493728044,41.44918386496962,44.879937939689356,47.21038392263449,50.015373750328216,51.618138205529455,55.414281157637,57.32293774726411,54.68773968153423,51.16250605899648,51.76669551750527,48.600022193355436,47.15166973508969,51.97817762449589,47.24417459290495,48.00351491215936,52.03475748378444,51.04021037863686,51.10926917627347,49.55901522395065,53.783659158846255,54.155396127931674,50.23527049106462,53.71956174819837,57.42290798949733,59.49773417496801,59.81605276063326,58.06323591301956,62.24290788057862,61.642243940114085,57.44169423682049,59.805369732277356,63.387688067631444,59.6180314565366,57.43059744340722,59.568412686361064,58.97370693703494,58.1961727677566,55.44510445731187,53.49548031724637,49.769390721039336,49.20020108098548,45.11979174252575,45.241057058004245,42.74470974055907,43.848272949234776,47.565770419674784,49.38773689356916,51.31107488695782,57.208825851810296,55.98129844013354,60.166185327959596,58.89562939569291,59.18088214740539,58.61945368454877,57.06222496944994,57.02113029391489,55.93973779331243,51.40857466068672,52.0483310839307,52.791561256011825,56.090430105017404,53.955971188796454,58.67997087771594,55.592515867115,58.21897617936984,55.885399765882646,55.43050196815401,51.20192799154907,51.80478219372642,47.94036839019642,51.94848608481587,50.62495984774074,53.966358893059116,53.58088389114629,53.82461590824079,53.44537130437313,52.34760919296807,53.09923949156571,49.5630923289616,51.91795589798887,49.206992243311305,46.29415250649165,47.67746393552689,43.66289179238108,42.342081201865604,40.185790562000705,37.87901617287324,37.90116769016589,35.0612599313383,37.22107949413068,34.18158031335083,37.86351047240874,39.74107387412167,36.47272213850525,35.967952552728875,31.76915761104673,32.797984011472344,34.059894029548126,34.367035864375396,37.56121834222033,38.70308908536683,41.169386127537564,45.00598571191007,42.47126455805336,46.84478149849505,45.33984649837552,48.27543508606825,42.50050900165856,39.71308163213024,36.2353207018253,34.205309316111396,31.591749303685393,34.42913430825608,31.25870786765314,34.895052608443535,36.94710589647405,37.10742179663495,41.36709079572013,42.28858765337631,39.939073277624466,42.237505009672404,43.46967462540735,42.890940348033794,45.850911483825904,46.7297979287348,51.585246367973795,52.138649327810356,52.0513919756942,51.96876497778581,48.82093670161177,49.348919843772364,48.237801132644876,47.39823461231123,44.12231230447184,45.45471503783975,40.54794796200231,44.701763181917556,42.879493781498006,37.486733892052854,40.381687977565896,38.74904957357461,37.34368116328933,35.05935086099335,37.84297843929593,37.835292667405845,42.94499452197895,45.91738695302278,48.30000957026507,51.307501094592006,50.412601377334774,55.58430474900565,52.62328957611349,53.99135475318531,49.92529719772307,49.04474022217079,50.85355403269904,51.15932278604685,47.904058872374065,50.807221591450705,50.230302547700106,52.963952112242026,49.82188851289357,47.96069931493243,46.30133765564953,46.12571246798039,45.09753395338554,44.8808177723524,46.0211642214512,46.26089053666248,42.66503801856024,45.63037811478349,43.930066965004464,45.38969370070861,47.87702507839551,48.69682635834426,44.80156735955722,43.79498860101945,47.637389718480335,45.359965167465674,39.93583923351728,43.93539148936628,48.13385371710416,42.49988030280447,41.68094669274096,45.302443848353306,44.629919079522004,40.098146222940265,42.06866705257792,40.36936530580317,46.09202083138782,41.94970406475051,44.46171167890705,48.3385065112459,51.70005658823684,54.631462895534966,56.262517899393,58.45266957624224,57.10855845025155,59.80739361648661,58.150535193032354,60.44709290555166,58.39099460762321,53.00692296388886,55.40748470603435,56.54370246252517,51.99388130710298,50.53153641842002,52.88868022506855,50.620559051503726,46.83303603127816,46.54460419115145,45.96737653545435,50.007730201999365,53.336100842610875,54.145629256675704,57.20961013522173,60.65339591515603,58.61685155446005,54.186827551859416,56.64958417980035,58.3515711744136,53.699669987968534,52.076292620289806,55.16150159792582,53.888992542148834,50.17352263679258,54.04128903552442,55.25789762757153,51.18346387677944,51.04789433678589,54.5557988438188,52.5645631101977,55.310696690457355,54.36319643918391,56.628001661421564,54.667604207798156,49.502688797079244,52.09443176651777,52.07766070658214,48.84689918269899,47.012945070387495,51.33992237428474,48.73432317351768,43.891592144153655,45.6571936677403,48.6271346462431,45.40419455614322,41.79077937639557,38.2141564968679,38.405823589646054,34.56356908893479,38.2312970810406,34.78215598265341,37.768610070356246,36.411944533212136,32.347688771657346,33.078442394150095,33.18615364020925,34.47302410729567,38.85391479748242,37.64572825964307,40.969807515469896,38.466177263080176,40.373641092748706,45.39632309684755,47.98993744919708,48.691574129721836,43.55896309860929,44.42348252162112,47.569287020119106,44.26967921469145,40.85290475069628,44.82373688569882,47.08568613720943,47.05527232086648,48.17365831610876,49.8568574647168],[34.95187582962931,33.65267505152787,34.22808569492503,29.06085737025217,31.70524924454547,33.650530929653364,33.847209280565146,38.24187973145209,36.39021608188547,35.168764265229484,37.42976752481626,41.465170914197614,39.22667034842677,35.6584350311705,40.39159059993428,42.21350742274976,38.70207384314836,41.05914010057913,39.667768633049576,43.26013360681486,44.00048575163694,47.20932866413614,45.982425634381705,43.26720407755274,42.84302470300745,39.71493308525697,40.251479956456,38.30782724419145,41.471007278017765,43.64584314071906,46.1025420911416,47.81714060233941,51.4569844868241,53.48394051206904,51.05971264544339,47.67027704323359,48.385562601827,45.569263365870846,44.40037821723838,49.59836549751795,44.94254006223949,45.38243582997694,49.576624379227724,48.8987234908525,49.278183509064476,48.077401471390786,52.36122866703419,52.333329491622315,48.53308439923971,52.41849016141634,55.875859533127425,57.808217284572095,57.922468993629245,55.89096379110626,59.93475900122598,59.42888637832246,55.088456581282955,57.13361389384326,60.83935982704615,57.351883033723496,54.87362677218616,56.672923134777214,55.80834769985137,55.16762578975393,52.61909045400566,50.47829954035555,46.52597944324338,45.681537041453176,41.47771290288575,41.28285835460783,38.797420702659046,39.79687387896988,43.542508398159185,45.66480364654279,47.52037454177518,53.506540262514164,52.541680451217786,56.61102232756479,55.561729014949854,56.14555745722802,55.56183989148183,54.33391421492533,54.16581120709972,53.42168614206005,48.966436500011675,49.211998499555584,49.85522848171262,52.88043484509471,50.652858261983184,55.08956297284532,51.857979316832946,54.33163007810506,51.84599701575625,51.31215633548143,47.05858631607027,47.45335854364375,43.577535166761656,47.784929785854416,46.50987371348023,49.881106763898714,49.7598516218532,50.24415414841176,50.054285270822156,49.20110013514942,50.43232720311382,46.860876168472984,49.48035241132715,47.06290671502765,44.010919736981265,45.01368345538626,40.83972822876477,39.43092687016503,36.86222375583669,34.72798945048431,34.364261526459714,31.74759596990102,33.881921808329096,31.135091476265774,34.694262928255114,36.185330215966594,32.781609341144346,32.13112808425205,28.153906534756885,29.20919330675044,30.45210695363553,31.371269332766886,34.5616329884405,36.056441988197676,38.80742873851179,42.75317605610316,40.69857777854263,45.211947833535206,43.8839651314893,46.39927614242804,40.75124025896882,37.5681654592421,34.46737232674454,32.054361252425764,29.187869597600773,31.98080526648766,29.014506095530823,32.86120404865034,34.40518561652512,34.482297310512664,38.77431469032275,39.309411242255734,36.9138122503197,38.95059842051037,40.25619425993502,39.359523197528425,42.42890988497058,42.936129270345134,47.887882522624025,48.14285895518171,47.95665002974234,48.0923722572688,45.0071665832379,45.83827366618858,44.7264880345923,44.31485590397822,41.370691721892506,42.56607835696308,38.03998728028926,42.31490941313229,41.05222996511607,35.93857842274608,39.11517704084961,38.00188892565824,36.54664971312974,33.81044503598488,36.38101591553279,35.90240248308579,40.92562047755959,43.62338226261795,45.71593177939454,48.527619062576505,47.287720440436935,52.646862807579474,49.978306155162834,51.48956393746248,47.76666145035223,46.67489743959423,48.99042890501827,49.61566017203913,46.27201907047234,49.13105815366275,48.38189976940404,51.331036939581544,48.63597753859436,46.93476701690718,45.397991930101604,45.1930910559859,44.24469849814338,43.89839192662917,45.0504535584935,45.42891221700263,41.57678172038457,44.418512284526656,42.6084659956774,43.57994220373257,46.243250654596956,46.61277235837631,42.62317404426842,42.030839802847886,45.747357881999704,43.0544882988237,37.92632989431878,42.10004597881545,45.896804977111124,40.052145475095905,39.542624029531524,43.13641304894376,42.00690369479271,37.59116580468172,39.98057333486035,38.55785461974037,44.31658916226986,40.88809142160292,43.109891374750426,46.931598601654535,50.59931714983482,53.660505443217545,55.38486538287394,57.27871598757403,55.91912111842863,58.57554186273206,56.68790511788357,59.33340105370416,57.488389403909835,51.85570349228303,54.26498723859966,55.86562715591124,51.341574042432384,49.64907800453229,52.17533369971991,50.357756985217875,46.403692994545274,45.84050272369226,44.881479337816494,48.557492809589,51.940166968700325,52.49881647701327,55.325183725194854,58.634888121024325,56.34847783624036,52.08736094888029,54.50320316141746,55.873264117289146,51.13448966192485,49.72403798487459,52.59071763323161,51.088736708773425,47.54951485839702,51.64020436606202,52.599411066782025,48.354872358553145,48.63282457192151,52.29162911250425,50.53127972105004,53.36304544871351,52.40006223500428,54.99027647677454,53.088853970770096,47.78357722683684,50.61549208098947,50.90297089160789,47.60326012378115,45.80709516508439,50.534722170229145,48.110320402653194,43.06601246526816,44.994445024388696,48.358468160295935,45.23853096435223,41.461124944188995,37.528429860445684,38.382678638141414,34.265467838004845,37.58702123195705,33.61852699520737,36.251656280279356,34.29350168789958,30.59445759465903,31.597209964276267,32.271828339216285,33.41414830798178,37.55917295983059,35.75860466976505,39.11329550355339,36.131734979860546,37.805941500626524,42.694487994753274,45.29151946852058,45.63108598389292,40.53057722712802,41.5206564088475,44.37332883831746,40.82859810026484,37.571469625484596,41.62531941833339,43.58098434066375,43.37927962394925,44.44518086637924,46.06176025066732],[31.3466546284177,29.82731484729865,30.143988351916715,25.204761695226455,27.707223121586317,30.211468172164942,30.672814642357267,35.207333343495314,33.869175624367045,32.96214755906378,35.58325006077635,39.41595866691503,37.13204230323906,34.002607368743035,38.957447123896856,40.53157301274097,37.0171930790655,39.76651263897396,38.76689472705793,42.02762346080167,43.1443453183923,46.21045369248003,45.331472175067226,42.63648084401975,41.76722936158849,38.65389777618818,38.69560585670819,36.59462318095203,39.76457086790639,41.69436151386497,44.782335187097424,45.92788529252153,49.77513191083898,52.0298712504618,49.35925513568925,46.077407399343116,46.32329653887692,43.694852917332064,42.33483111654944,47.4150107353295,42.87802471703526,43.87974975858017,48.0762395296175,47.09687579441174,47.67584985226838,46.283602116041145,50.61158978448355,50.47481481516872,46.349670501681196,50.17077329254747,53.703335159120364,55.44887090688091,55.821566079754156,53.60801693647883,57.81084462755975,57.65621730188306,53.3840076882247,55.44882074030187,59.31707115996297,55.93570491643677,53.71631670145555,55.66715378445422,54.789312158809814,54.55206881486437,51.81331841057315,49.401152237284975,45.89339660525463,44.818732178579175,40.95659459435008,40.645060500346894,38.433213674735974,39.89528722933662,43.29817211037915,45.46290703481623,46.84529426917911,52.95356059059547,51.593686345598414,55.56507417479391,54.23404465502982,54.667414539786385,53.692235575999,52.22796367616741,51.722603283096795,50.79887354764731,46.45721056942617,46.90046505868383,47.96812297654791,50.88301870581952,49.15423501374775,53.67381420137878,50.7339696664361,53.55768183141188,50.95698598574499,50.17053401001054,45.76688725190096,46.40208897040621,42.371421688415865,46.114471274484,44.52643467909853,47.57888323217544,47.45836273278627,47.41438987147254,47.37110423206019,46.04119286454914,47.06735614566153,43.30458730680039,45.63941696308495,43.05664460458338,39.922464397691996,41.183865135621765,37.05352919503788,35.97311747959251,33.692738864922205,31.706388156675093,31.968844464993573,29.42300522055111,31.994650013390146,29.427350812649575,33.67014786121456,34.945651790952496,31.606663650523906,30.608048750425233,26.319165433059705,26.86615640276507,27.70248074484024,28.118767147681975,30.909264370383724,32.34926815229127,34.872792854518686,38.946795910370184,36.55072776370002,41.03886623957227,39.89256211620568,42.60227332281609,36.973372740577204,33.95308267690959,30.448469039157544,28.51462107323925,26.025677990199892,29.16716415899591,26.77855738085569,31.003066014552978,32.61212909765459,32.261203112485106,36.60274732654887,37.08671571856602,34.48832129293971,36.39622659210035,37.34593121925374,36.502136114838876,39.253369547147365,40.06444627651672,44.85802044101173,45.353133122446216,45.448436795507334,45.43336343015013,42.43433226873611,42.891855678398024,42.088533234450296,41.16836759900545,38.26949674256064,39.95834028749796,35.30030188654786,39.690092713955664,38.14350429139773,33.0051504437509,35.79287056780872,34.71931268032839,32.87864515769007,30.29594373916916,32.772425091262164,32.59162833368346,37.73310415649789,40.50504346853235,42.788530849114835,45.54815732902167,44.6541490245336,49.887048827547204,47.22954023276179,48.47056259216165,44.69450785387153,43.27379714022841,45.45453936007489,46.08118439906165,42.895415839101844,46.14700502299553,45.78287714236014,48.73674679061437,45.910835087728785,44.0791384194262,42.29879035257991,41.92139496702686,40.64390801003714,40.07777903605228,41.027573142568414,41.16387178402685,37.23981676464084,39.964377692223216,38.01778567309481,39.15566964915072,41.64032087310827,42.18595492433909,38.256438980210795,37.411860715257525,41.157538811112914,38.65629935449918,33.36694730053004,37.47126019311293,41.46207369945331,35.73537467279913,35.09129034306737,38.74034121873097,37.86780041350516,33.419275154758395,35.67036070763324,34.05134599209651,39.84862464427155,36.13796246365991,38.367295650949735,42.237694161500855,45.80146293433151,48.8937367500481,50.53678689847586,52.46563701129723,51.09950764943178,53.77940571836974,51.98671469385638,54.561529873073276,52.63504782513646,47.0627864496344,49.53293852337631,51.04505817323252,46.486177083079454,44.881352258204686,47.47278547912167,45.54146962838056,41.55966050534277,41.19836038537298,40.15931249523363,44.0454426038706,47.35854240392133,47.90144500867649,50.8581829013499,54.17299826064686,52.06182517133603,47.69689950003541,50.05575296219188,51.617940113374544,46.94798688113725,45.363959207747165,48.35059758584713,47.000424688632044,43.33831924123484,47.307857641690276,48.44340715572085,44.331807369204896,44.35841064005315,47.943755158922286,46.04187915699948,48.80640485662541,47.83694606352931,50.301747242863314,48.393207469182435,43.119783027145694,45.873747279465604,46.077133213877914,42.79774883773475,40.987375548138935,45.64056389023628,43.195960714472164,38.16673367570988,40.09703548460548,43.42049735528875,40.3004784627584,36.52176205290392,32.615800000598796,33.47451669860651,29.38552113226283,32.786454132397104,28.856752454444237,31.526684641597186,29.802087709753394,25.965206265307415,26.836651715695712,27.385069600669713,28.57565210791382,32.77242051727639,31.22632078821695,34.66686142226757,31.959935540327706,33.60579083516846,38.6336925690685,41.16979016819804,41.81641856486222,36.67546636899368,37.50185123735002,40.5977051429959,37.32009283303436,33.86663177759607,37.87469126064337,40.13171375457162,40.12903976447439,41.28037222920412,43.010940325765475],[36.132031585111804,34.3151811196864,34.03188065458357,29.126357348976157,30.670527414108825,33.78329932485809,33.761949190442216,38.25985709693994,37.07921795891352,35.600792700430304,38.255517818224945,42.1928470254422,39.232699528329185,36.18678335121751,40.94211346427958,42.27984444897089,38.32025876525247,40.621104062477755,38.915069645440255,42.02218756979397,42.65615741124731,45.36321087875591,44.16027750961377,41.13213467086367,40.64427193426224,37.99520886315834,38.41116008448552,36.899165354747765,40.49795244793158,42.91350497376928,46.121760165223165,47.533947505137164,51.494005845207994,53.30223347034836,50.44206934820772,46.83975130287639,47.29008796131595,43.92340079393507,42.29469996649366,46.932270080579784,42.2016031337531,43.2343990308444,47.20067551306536,46.01291200023907,46.0788805221663,44.409753098126004,48.64383469513419,49.03593396725926,45.007266581413226,48.422130296554144,52.171324860959764,54.229510653049964,54.644833897168375,52.9241723552162,57.17176679435208,56.632175418870276,52.500942823521584,54.97947594591326,58.56216979197172,54.74790558775872,52.75616610816291,55.08768712187479,54.61516587118421,53.96647343531233,51.035828412343875,49.047639294414076,45.650253906766686,45.14023327624874,41.31487659177206,41.636475124174055,39.2681080236673,40.71834420917098,44.20009151268377,45.79633436215461,47.524055858202864,53.39564584341104,51.815799477159835,56.02948418134201,54.51712480831851,54.58510747293096,53.93448130434171,52.1668594124983,52.158083716412165,50.90005367898997,46.347625620900324,47.191337430683504,48.04791236501391,51.4819082433712,49.516806781421394,54.45204013224517,51.57366806760166,54.450530441300955,52.220426259950976,51.77742344520366,47.56548972782837,48.48601615312451,44.635979216304094,48.31165546447301,46.965363730009756,50.365663752369635,49.55549135669691,49.686135555594134,49.02376282866624,47.87192023395089,48.29394068521974,44.911549082018155,47.25621856732474,44.470479443242255,41.78025545771099,43.24559555936663,39.39476169569787,37.85501815796169,36.00039950286903,33.422372081839505,33.663154100192976,30.625807424248435,32.80292354801496,29.616537382108888,33.5623875697793,35.6101373966284,32.49102119841928,32.05176658843713,27.648501441711797,28.665347871969317,30.072209426196533,29.897114244662006,33.412531996982445,34.16575993819503,36.56642303655369,40.19023213588308,37.64978176189418,41.965712589507866,40.25299799195879,43.23025227774251,37.4047734148971,34.73475234612735,31.322290178509107,29.22485044861203,26.64939524745645,29.4342657557359,26.213525960005562,29.84445348614374,32.08669718284643,32.20247313530848,36.43559816350294,37.556515123774645,35.24328787781916,37.7454770082133,38.99143392859988,38.76526522049284,41.77831254398936,43.04512631397705,47.84596839889716,48.89528426415059,48.66549371949168,48.21594017906549,44.917662564893824,45.20736388275353,43.956995318520676,42.86930342885349,39.31020346590994,40.64635955736591,35.54707604126389,39.62712086888725,37.607236429578144,32.15516722466222,35.02092243637838,33.339903652602516,32.0145879858848,29.747216734893946,32.59668255251878,32.66112602538238,37.76373355994895,40.832613950231334,43.32794593155524,46.45750010366188,45.75526085194506,50.79294327586569,47.65624497358324,48.97576585695395,44.76412634791168,44.069718608164315,45.681235301051956,45.88643256625207,42.620602031859235,45.48657081498572,44.96418255285316,47.65081977914679,44.43646358422664,42.55602667868103,40.88930527456563,40.72617705972431,39.74520468244658,39.60767625013344,40.843774780815004,41.234860564311205,37.75695804393962,40.887737641980166,39.466584859910654,40.96361690090459,43.70753645840084,44.61857361814697,40.69948448590402,39.89908763545926,43.924058882013924,41.764370505298196,36.425328686824145,40.609315885279045,44.92319845778897,39.474941316053965,38.85815616852755,42.650466824025614,42.034991647959295,37.70226632086798,39.89666427604889,37.934966645531496,43.786764982379765,39.401336541591284,41.57794547356349,45.60040635981593,48.78047167835641,51.97186674350494,53.26322017730925,55.1895768808472,53.551784262552175,56.04182141711948,54.15879768845953,56.355609517850354,54.528458024179784,49.0445075494505,51.18235936559559,52.37194327669924,47.949397099858864,46.26567701190414,48.41555415674357,46.38856823789296,42.69125535651756,41.95246822417405,41.675748303117544,45.46372269713421,48.89217657996065,49.98049395681103,52.95267867410235,56.601735512948046,54.43214455689707,50.0224817796925,52.8301460499658,54.52858425703961,49.82201945591851,48.42302602243116,51.75045642337663,50.58315673391426,46.940454841545964,50.911909656042425,52.32871862743607,48.436194118004444,48.30973923621452,51.81479869108429,49.65868640960292,52.133774550254095,50.863291158656686,53.09402911971786,51.50092905667034,46.19254065866104,48.46031759410475,48.70299234136613,45.60920696430975,43.36342492281865,47.73233896315869,45.50373203762775,40.499775469498715,41.864098908854686,45.0906474076868,42.20964087056016,38.4967287574131,34.99609126755666,35.51484922494317,31.855170287392898,35.77764066272569,32.141543232522935,34.76434289291991,33.465721132186346,29.526059330264516,29.826411816308802,29.851010191959258,30.687600472390486,35.03366773946877,33.60381160717142,36.64448187914119,34.164418425974965,36.560913272103434,41.44426962093461,44.24858716256187,44.94312924172966,39.85579591352383,41.09018708133972,44.357051331133604,40.89451660345993,37.84820815865913,42.046666194643656,44.39866179202594,44.4270858647282,45.50999054177648,47.197711463970464],[37.13453954499722,35.41635053522063,35.24678462616876,29.96137711079099,31.54063045114428,33.9823582364521,33.569400266281974,37.89801414844791,36.198852562200415,34.34923036236586,36.66822756118521,40.79141501790153,37.83531925812957,34.3975719503713,38.938645132515774,40.48733871566399,36.551387261778665,38.52117203664994,36.55358051512551,39.977684258496495,40.36444187872972,43.28345717703025,41.854328634663055,38.909861579891874,38.718092549349684,35.932458326693975,36.737916570685336,35.270103007211745,38.79373077381807,41.39458661801654,44.00923414072157,45.92716505928025,49.68751047804202,51.30159813267534,48.682309052869186,45.01400740853786,45.89785143647228,42.45519260923622,41.08449464847754,45.95590512945584,41.15973995462964,41.58889379052564,45.61297726586619,44.80723101687533,44.845116638701384,43.50949091210336,47.72867318672621,48.01708791559922,44.33125844285467,47.99633526084412,51.54847865373887,53.69868687518105,53.79393129140852,52.110502941856765,56.16062647029805,55.3625477520516,51.11844137775128,53.45922187677141,56.95367223401203,53.165139890704616,50.85356644585133,52.945187765585054,52.399104225885715,51.483500673408706,48.76203538483387,46.92171815872687,43.117089404392445,42.716897847475224,38.6111610303064,38.98039518734204,36.412948571339555,37.53155259628691,41.24796784355109,42.84727578266837,44.90922529494726,50.7012808273039,49.47344620943155,53.73773380676244,52.501268787953705,52.77385049916608,52.445916599995506,50.98856766392164,51.24239552633999,50.26293195341106,45.64019685532006,46.16633665941887,46.61561578562296,50.06630762314727,47.651727570188804,52.45346353394691,49.31428535572277,51.89446028781847,49.742203550058804,49.50243463067649,45.42375314745679,46.15882465591006,42.45365704701372,46.50964701106799,45.46323642798785,49.1927364840132,48.34210997794253,49.03030917059183,48.22139641105885,47.60845399269352,48.349301419440856,45.17600031922767,47.915472908908676,45.41362023459555,42.796801181940666,43.853503367936604,39.93572764435243,37.979869468493035,35.756372618723006,33.036523480816484,32.58675674448287,29.52387274778278,31.287537659173484,28.025391263859763,31.35772335121908,33.490407751033544,30.304024622855323,30.148432756200535,26.05876695518782,27.552614965523006,29.373817655171344,29.798752270611637,33.77941684330238,34.640392161495974,37.37740706535949,40.8719081195028,38.91054644948521,43.29973769553495,41.46212978726996,44.031225522682405,38.259145671723374,35.260754275196675,32.46116568958159,29.695231824929785,26.649122479739344,29.059371337519625,25.402181809051044,28.772608335225215,30.734254662493523,31.197032660337154,35.385619513348594,36.42265884843881,34.2889398589464,36.84933161145588,38.464521808068774,38.1576418103879,41.53372433673221,42.488184505128665,47.46180135616978,48.34319201173229,47.756857557355495,47.40553350425268,43.99976516346858,44.688051435763654,43.10397639129422,42.60763534221314,39.08238053089669,39.89046897388681,35.05466721966225,39.061253650168986,37.55388904441635,32.289446061912834,35.66063113912929,34.247389708720014,33.286420946355676,30.624445457617057,33.43613437291874,32.972622947825485,37.897522452016055,40.77221302863295,42.970300315057855,46.085072781198996,44.955302075366816,50.15518730170097,47.09856733349652,48.726125257486785,44.70152336557655,44.26073386653706,46.20315901731565,46.54956331419063,43.094220930643985,45.54856294143305,44.589559034211064,47.36902286164988,44.50951446089874,42.84111697485385,41.47819808546172,41.47065450955908,40.86067142961289,40.87869635063592,42.33012497442203,43.065586762703205,39.55454432166477,42.757099025258285,41.48290047735086,42.56782170543505,45.64462435535463,46.18393426561489,42.15343268855886,41.865829008000155,45.85459067924048,43.342673817329576,38.32501983000453,42.72440609416077,46.69960263333629,41.09293173250537,40.81797849760942,44.61183480331121,43.56070281513901,39.37359064463416,41.97768593827893,40.23639857884573,46.12815077050868,42.27621218327253,44.18937713689852,48.19033855873846,51.567841538235946,54.88486549890828,56.19125057347548,57.844441920477514,56.10970252929736,58.48843414472054,56.325499918254344,58.7391368983956,57.17247234081589,51.47428703051569,53.47823124277891,55.01571594015012,50.68523808195752,48.73268065314872,50.85223760868006,49.257462972306676,45.52622675320422,44.32185515742631,43.988586069767706,47.302140567006006,50.84882883333983,51.9029130415365,54.60100621282195,58.241864336899695,55.741329189064075,51.51908623356923,54.46757279401676,55.823398689780554,50.99052770080278,49.930533373406924,53.12484669943247,51.74284977901912,48.31844333219134,52.549373965072185,53.75213783212297,49.71736625169377,50.019623057424745,53.66919075841946,51.69534117626432,54.18584812110585,52.80503945865487,55.306390353625694,53.86931212918112,48.409285387485816,50.7705635347377,51.3318374782946,48.22599041291407,45.88668091899041,50.55043509862166,48.554693036036745,43.38156674074692,44.71736103837498,48.27091812726781,45.54990772832596,41.72248703501904,38.021305924513555,39.00100537342451,35.21141262092073,38.94907092727541,34.934788811852414,37.22833810315974,35.41954202050735,31.824356043564098,32.26418832400043,32.698831950070364,33.28608475115506,37.434555996581224,35.384436121709314,38.278527655923206,35.29936097164014,37.75272046062748,42.3997545548726,45.332841945865624,45.568103988540415,40.544221158813706,42.11581357451355,45.069398985047265,41.18742960141601,38.520020575798306,42.887110073308506,44.868438110672194,44.66683199104591,45.643733398106335,47.20556280641335],[32.48293196009556,30.676898801842547,30.414116770621593,25.04224291287708,26.632180097593046,28.94860544217149,28.568508620128746,32.92616229369877,31.30719921132534,29.636372872750595,32.09386559238169,36.133766457952056,33.31360042527892,30.007456792849013,34.73200889009681,36.251867926532725,32.45488888953431,34.79836698217995,33.352236676816894,36.705011347638475,37.54494954140776,40.611953534876065,39.55766682984509,36.836065437074204,36.16779443946571,33.0918278674869,33.45792110348296,31.601522485957066,34.94198812405012,37.250691083314706,40.10052995089415,41.67876413364347,45.49799596721093,47.38159898787002,44.722663482824316,41.22478226613936,41.83856428697631,38.8000574246135,37.49926220001806,42.60626007034018,37.94680663073917,38.56217994088427,42.74032758225744,41.95147434778865,42.40817073744618,41.20622373673337,45.51805213353393,45.38913130048449,41.53380844660004,45.48804989714462,48.905672791991634,50.79757602983014,50.931321750372334,48.87273201954683,52.950313407825085,52.50308464823856,48.18655576703321,50.29138919694732,54.024237491149336,50.53991619690389,48.1932978905874,50.13607349979238,49.358452952528296,48.87549591205444,46.15908350186132,43.93569967454199,40.29158205079103,39.476028258004256,35.52750738281243,35.54908597920636,33.20035180993025,34.627831834282354,38.10036838436274,39.983692362721825,41.613063302648534,47.59875871457498,46.258310068146756,50.3679069453024,49.07978324878863,49.4731753041684,48.819219180173825,47.43646574355953,47.33190142663829,46.48075990836947,41.986419030087546,42.349429030749,43.04902625082371,46.21148456721769,44.100303757078656,48.76028121815842,45.72381578787308,48.47227357604017,46.1023296840253,45.603523378001626,41.37183593228232,42.14419232026973,38.29604062192125,42.164947245027236,40.922222573182765,44.469690294384456,43.79215885819769,44.289502265193406,43.71154007748859,42.947649674618084,43.9069149367845,40.56965674888381,43.3320066428019,40.939600112662795,38.171743544177396,39.107230001598744,35.09859053050509,33.25670816743,30.913393704993094,28.38026023333261,28.066081870769604,25.18474500761675,27.280530758249796,24.362738704491793,28.196338707515533,29.848032571700934,26.57099803383208,26.022594221501176,21.801073282035176,22.970463056897596,24.545955295835462,25.085348320722897,28.88112873323813,29.945853921667325,32.770130665182016,36.42846339382816,34.62260332696752,39.10859976166587,37.52065359336327,39.891991975550134,34.21703409314402,31.00022902988354,28.239101740767452,25.44654591302334,22.4130206613983,25.057504644611704,21.978340975726816,25.88194605707649,27.467727335464453,27.519506401879827,31.811096529352696,32.49775923316852,30.15521563559365,32.44050954895868,33.87585172050458,33.379983684378296,36.652460710242764,37.5643395759872,42.51906999356534,43.382381137404536,42.89537945383741,42.57568552039099,39.250077833521594,39.9012491587338,38.51287300431624,37.98001493651583,34.7148748359543,35.7737840335018,31.112228505371313,35.331359890112346,34.06426377415727,28.989735858979525,32.324665603682924,31.37480268805443,30.09092367473639,27.146959459855406,29.725505686751067,29.076011869086642,34.041426802769685,36.76233753429813,38.87847126194762,41.81678426642523,40.6653806062624,45.94099105058152,43.108243237214225,44.65678188117304,40.85073170726595,40.00639052390382,42.25905206179078,42.8614851606913,39.439955177180906,42.15595536691116,41.34795509790868,44.316593375898776,41.71763605053866,40.07367553592346,38.62203575839301,38.4678483485599,37.67520128556526,37.43243217055633,38.75657876032167,39.443438067578874,35.68664479084223,38.7227908693101,37.298618641154455,38.1077092840379,41.22803179096867,41.53912767468136,37.47505179355116,37.376782780011894,41.29388217713802,38.60358554944693,33.74768568317325,38.238357950146735,42.023650414259954,36.37970920360247,36.28836071694127,40.09021970304437,38.86730367902067,34.80787481648516,37.64765431036898,35.97571074932488,41.88030618413728,38.38666449837223,40.03811244185089,44.01529191104865,47.51651021087973,50.95487684929034,52.24871814371273,53.677880154575966,51.912476826193206,54.25477442840095,51.96874821642722,54.58832829158784,53.14409737529304,47.30827706391084,49.3351615631845,51.16508588431039,46.85324406458163,44.77383752578992,47.0460296268648,45.741221312496094,41.884896419916785,40.57200020263308,39.91381338655126,43.0528097344781,46.59910014692066,47.468767032055545,50.06096936218112,53.61300609950279,51.031212047332104,46.8722854137811,49.773188277078276,51.001957827482045,46.14431535737449,45.15846335353487,48.281367539617094,46.83590250079046,43.48212657475389,47.803052408275725,48.94103484971045,44.89452391767112,45.34758755218347,49.048421473042126,47.148986902594515,49.62720892275636,48.205837452328936,50.86166800229372,49.49889250598167,43.96282056895744,46.416955937971004,47.172383269126016,44.05476045758042,41.708368972190726,46.6085416988876,44.77470636267532,39.47935381309475,40.894131856986846,44.717898682346515,42.11615640789689,38.18682337019008,34.27883823509398,35.77045091165505,31.863813959588626,35.377867569961275,31.038599151761627,33.00993339957199,30.907526272970518,27.57896136889295,28.072911874218054,28.85094278280978,29.283272882026985,33.23832785512445,30.856548795686134,33.783235786072595,30.59590667630575,32.91519481422622,37.52263481177087,40.443817830809465,40.59431105008174,35.572300891433954,37.18900507194024,40.08007053012436,36.15568574697156,33.54911340662876,37.97306702542098,39.918385315449925,39.716104622476166,40.70309864612152,42.287840916106504],[33.016734256045574,30.886232760713902,30.058111644056616,25.075784439166092,25.929257045720973,29.267900484186193,28.93732592651274,33.38969256978734,32.435414572053425,30.800716232122372,33.61506736070439,37.46437330345146,34.23369530685998,31.468244348560344,36.236634366742635,37.35340890454627,33.30725192061195,35.73517446880179,34.217539943036286,37.101531643202634,37.97473570502095,40.62309572863163,39.68527483005986,36.747897810066405,35.91440170948372,33.21813867343947,33.33344949958739,31.74694171355422,35.370128685368755,37.730158826118505,41.27653192123779,42.44113595527193,46.515199014222134,48.33942566135217,45.329149761054595,41.75019986228461,42.00913326957012,38.677462287570734,36.98024385599085,41.62137309622658,36.95387298683467,38.20625350214345,42.203680664476686,40.93648680734048,41.215898617915826,39.58299900576165,43.87174805090906,44.03763004259012,39.89195616974786,43.4558039236682,47.135427829284,49.06094472403596,49.51543261681965,47.62586590583113,51.91051000482487,51.55628718060327,47.419567954284794,49.8417557771933,53.531336326066224,49.84777247045621,47.93758635402881,50.29724857115542,49.78934432959475,49.4154461870918,46.39124329422919,44.207349885194986,41.09403724643848,40.44494986876799,36.88124355459083,37.200179564057564,35.031141313598035,36.84311505722486,40.02703666244088,41.574524742530876,42.97835959820618,48.887262618710466,47.03853974083502,51.19383858236364,49.516508270653304,49.509014437726364,48.67768275562776,46.836284203160304,46.71464476664718,45.429461670422704,40.91197726144089,41.785011357715014,42.79325863283588,46.187830831044984,44.439706856564456,49.4369104184106,46.739285697914475,49.83654730980003,47.60081791143304,47.07478965845572,42.84347088161471,43.9985476164897,40.14062992972556,43.495746249492804,42.0899770421213,45.483599217169356,44.417073944620796,44.453184274488216,43.65488296615162,42.474273892457475,42.793041889729736,39.48808077148511,41.90514155648078,39.1649791568851,36.594096002374336,37.9930642968591,34.229267374237246,32.49568428811792,30.78979973417399,28.05462525166383,28.454914198885298,25.346137441037126,27.632411275041605,24.494308621833643,28.80907467333842,30.762854094808326,27.746002981801798,27.218580717431447,22.660695966777247,23.55805578668628,25.01888924966751,24.54361177745627,28.310566209618706,28.838133668744184,31.28025511591696,34.78465807194505,32.42236521162482,36.76031629875356,34.98021151328499,37.81700018343508,31.99777374248547,29.251134100670225,26.01501772896086,23.723265766341427,21.111986100387686,23.918279703371667,20.887662584743758,24.75877123866395,26.92653176935004,26.842253963114562,31.0945956612407,32.19267982853369,29.83775277558295,32.38032078162575,33.60145917150268,33.569673601895566,36.62049128419495,38.13037305649431,42.88418830897516,44.28668154847978,43.93618378520257,43.22804191647372,39.84443342988768,39.98387498092631,38.66640118658895,37.452620143126104,33.79475000620292,35.17589563412494,30.043985430627366,34.16203659329173,32.18437564845558,26.797893853138195,29.720693261134233,28.2998136205196,26.925902138032452,24.427170202107842,27.21683399337961,27.154003699780436,32.256105340312494,35.29921956725459,37.79851943553802,40.93567007170269,40.310292720815966,45.29970770958411,42.1497236232257,43.44262368412705,39.25456803071902,38.5469710567921,40.21923268549219,40.5044835584511,37.20524551318593,40.111198772152214,39.63561675195333,42.40571309565201,39.33568830103775,37.484903537713905,35.81545671144841,35.61956380007703,34.642519223234196,34.45863645625873,35.75068515123685,36.3091800106028,32.78268682223322,35.98100148638697,34.740779205729474,36.04430135704862,39.08296107711536,39.87797319762213,35.90895435950414,35.47331424910102,39.59156311177129,37.37796290612974,32.273984997516045,36.67362179040246,40.90019470946727,35.58274841328739,35.28621212798975,39.1912083756307,38.46062329229854,34.41071835537245,36.949765920105236,34.876471306011375,40.7961283361756,36.54126183889586,38.25505634896192,42.35225264067061,45.48097591649535,48.9470476908018,49.975994104295225,51.524303047585235,49.630269411818354,51.9143281977506,49.7387981810535,52.00618943484112,50.47477961200785,44.80659734658648,46.72108044370838,48.17474408248968,43.88722508400844,41.90861786679095,43.96617341801473,42.3795928381916,38.6833232850567,37.424429864872224,37.20773662226522,40.602090910841824,44.13417564690881,45.34040447942684,48.130552892863946,51.889296714347275,49.5144159191952,45.191423640354614,48.26959595228696,49.83478939720073,45.05825710461227,43.94007972771733,47.38828779385131,46.23599307670134,42.73904815342425,46.86821520387646,48.36190587744486,44.595757729417635,44.62915172633535,48.169792130297516,45.96768777948507,48.22275257641204,46.663405092514104,48.99377991011398,47.75673773299595,42.28569696977525,44.35859109943125,44.966860954384565,41.98134510913915,39.396860327212195,43.970740134526835,42.17450427340684,36.96606588421565,38.04201231056604,41.672345920667865,39.167032451676775,35.31615517085805,31.746466837488434,32.889553484826564,29.319057768498546,33.24731218213216,29.25795013186936,31.33045362472223,29.847758821180943,26.25472179326445,26.24280332530975,26.457671561105148,26.772163101026038,30.924229596645045,29.020415540838517,31.80097504651324,29.149609973009163,31.898989772338677,36.58688021410351,39.57208957903269,40.13700322754066,35.11807846905155,36.72955562210012,39.99281180262305,36.328166008991964,33.69820906370258,38.101553240882275,40.428390855350166,40.46477128678734,41.50376970904838,43.172795255408516],[37.126019388864414,34.93524335173746,33.88385057926184,28.776135422751715,29.09544440178854,32.3066992829469,31.43585929020407,35.68401457758572,34.50936675956419,32.27825830265415,34.85838586210011,38.85335181919339,35.1906616095638,32.26880979542041,36.69667489955589,37.76401297126844,33.44741196468951,35.29523024346803,33.07522050052081,36.017522048353165,36.349240401369364,38.8373049496603,37.5050221475258,34.360665998033,34.02235780689693,31.62509983294377,32.29584620716755,31.22315087962051,35.09508909757719,37.922281120480896,41.14739372370404,42.82140458240614,46.820793846019335,48.185361191370724,45.2054411228564,41.36755989254593,42.059046998236624,38.13943318637984,36.41670376542821,40.83928370559742,36.00102359254058,36.86898720620942,40.7060446398755,39.531551978853784,39.386012439789326,37.76004888269851,41.9589616804218,42.46992617982735,38.64444217592116,42.04742083366189,45.75424093627017,47.97851661011431,48.25033433701792,46.77361351643429,50.94474164014351,50.128737270694316,46.03632544059594,48.679755810360604,52.08476272425605,48.09422416458654,46.157790305532856,48.653044332077734,48.40920065796114,47.55797030304562,44.52277261594311,42.765532730751204,39.49775205155789,39.356679235044616,35.67354592325326,36.505927595556756,34.11657718703937,35.7108836715526,39.06525089522775,40.170996720482606,42.03050159244104,47.68272310552739,45.89119261199922,50.24432987016362,48.60993791107677,48.45570918377647,48.08075973827472,46.21937428947962,46.64743107683298,45.30201947703081,40.60465555275904,41.56657758520566,42.13812212191644,45.919187672238294,43.71243399268741,48.91288590115311,46.11080527039772,49.049238900487545,47.146790321245135,47.00127331895516,43.021425591254044,44.258323993549,40.65020584140006,44.16896960897326,43.136045806222285,46.95209287297656,45.38834278518613,45.90754847615358,44.5813282191082,43.89177446297239,43.9842222107427,41.12603984225149,43.78383344394892,41.11928776387338,38.93991568525627,40.19312792847348,36.627352716126815,34.32966592992959,32.70386928138977,29.50628938912678,29.416302282061725,25.98212824840222,27.637766809457407,24.002092771531494,27.60968072316785,30.21560289237654,27.370362917231905,27.4680059248661,23.128489464427886,24.67927052474699,26.78992381234887,26.316988252609054,30.806802763249607,30.927776481682766,33.46119377545662,36.501395682147475,34.46263276527194,38.658456759747736,36.40418492802552,39.12331073842838,33.27610494841826,30.614676537251363,27.945122310530763,25.12194496713734,22.18364038061964,24.35476331738851,20.371296726583047,23.47800469297629,25.965964995718537,26.510916133461592,30.591264635501947,32.12592226197128,30.146437595969545,33.14360542690115,34.81369898641588,35.16865003528521,38.59678458199937,40.191907019294376,45.01341787534482,46.65719110811935,45.87298245301853,44.943753730253185,41.317877586717884,41.598479827825685,39.76135585686368,38.831354219356996,34.759847887523144,35.4993268151435,30.270129496418978,34.04309822226748,32.06813996542176,26.63094903312883,29.94351307029987,28.244806585894874,27.583803811623994,25.10355313300049,28.103759708859396,27.856797438451384,32.71987875806563,35.820056002308306,38.25102708688679,41.62579567981979,40.86354216829762,45.77568500228001,42.34414946417071,43.89236333434405,39.536143382654764,39.556264969701594,41.01073284306802,41.07156200925998,37.611296326460376,39.908067879991336,39.01077852580512,41.61955232399075,38.50563450392653,36.776296515649044,35.42503596185714,35.51252155432851,35.04268913074474,35.30429032040419,36.94762506168649,37.92441924127834,34.75650151554432,38.24251425543331,37.480830685289085,38.74405336729749,42.123664752153864,42.915492854999485,38.934754163670796,38.8501854728109,43.067773504534415,40.877166707613554,36.00376812107703,40.51513549566997,44.68925724003266,39.49193740092363,39.40581284399365,43.351097945670915,42.519575318484655,38.6428652116667,41.350058828505006,39.24052806064199,45.1614460455307,40.86154878033485,42.395840938326664,46.5298506103041,49.5222975140467,53.09085430656492,53.91449147206829,55.29669310033238,53.19004087307929,55.27056526441943,52.882600415553846,55.0166345146376,53.721526145740384,48.030407541400585,49.62501798334372,51.065606469711454,46.96629545488797,44.79110114414909,46.50641424150765,45.142692258035986,41.66396084203197,39.87198852824998,40.14324533255103,43.12606454554268,46.77220910293376,48.31075782109152,50.91412545150885,54.85904339833965,52.25605523898204,48.059380964610824,51.490024994586555,52.91867549465652,48.078880983611526,47.297404659029354,50.8465995149081,49.684256969824546,46.35863513483911,50.61107813202355,52.13350108293353,48.433817353856966,48.62963918379128,52.18465949031218,49.95594586184602,52.03426574956949,50.23863042628101,52.56691672724192,51.62285852724825,46.08878176780165,47.900371006252044,48.71313531879527,45.859679064829486,42.9848363707309,47.503375963455746,45.98999797656051,40.76084279410793,41.45660341936455,45.170458533582135,42.929421023795385,39.104630714351586,35.71819544728006,36.880189558286766,33.53434331044221,37.59837744164599,33.63091027254607,35.48856745623913,33.97710270232049,30.56843782826028,30.340057763155436,30.47887538458964,30.448814797292645,34.49346703400213,32.32683664226315,34.70316870520064,31.932790456276845,35.14535073967851,39.525837031662654,42.72558073313437,43.0254302038253,38.141443631206535,40.189256395569004,43.32789564649716,39.32854703979047,37.202859861413025,41.7695706516144,43.90727628151859,43.819653647669384,44.74190315517164,46.29247489206857],[36.4818833856114,34.20913674487153,32.95292741439429,27.73919047878051,27.687043645706208,30.679480817376433,29.4540837109946,33.548182017021766,32.276921424422596,29.767693050223524,32.26289777772515,36.27759047974963,32.438832762321454,29.512188616331223,33.812004210364826,34.83090026634665,30.45068343740898,32.17469801930003,29.87967136046692,32.83714878872499,33.15894640943062,35.698495932833794,34.39133748065617,31.30685840401809,30.927963500328342,28.45649670263059,29.174331298180846,28.127504482956994,32.01423156276482,34.934311124619356,38.07901185526184,39.86244118245171,43.835538024814596,45.09549643889077,42.13053515479475,38.25446306789348,39.05512441788881,35.069963405176814,33.41462595484538,37.93018131765615,33.0788283950711,33.77708047028933,37.656868678752645,36.60799037523903,36.544459439371046,35.087375804847206,39.31250538764731,39.66919743628085,35.946118763706025,39.53770833103937,43.120601682671534,45.32954460062135,45.47416356624324,43.94498945149645,48.04568377292864,47.19504083106943,43.04769227530151,45.61889485704024,49.034168423704976,45.103345800425544,43.07100418900218,45.49588321480857,45.21907138633,44.38126117552807,41.36943549364367,39.587239047005625,36.29476787695383,36.16043694723893,32.49749250434824,33.40094682753427,31.02543685031644,32.68624563357211,35.97474767106096,37.014623660386896,38.86115337805637,44.49099269532413,42.68929528241338,47.05140946391293,45.43733976954907,45.3150501828151,45.004753548901725,43.22925701646108,43.7449343772976,42.4989365599603,37.77879221753924,38.6258856919381,39.074643871786044,42.87354112163617,40.56456067230927,45.767291651184216,42.95071468060902,45.88559358363465,44.03533697475401,43.95355881064889,40.037686750897045,41.33927006383781,37.81066929409001,41.30846649671763,40.395289307351135,44.36037211109401,42.60867186961182,43.33774913534875,41.84176915998276,41.39870315140092,41.55334768102267,38.86820911456499,41.732484139874465,39.23199794251262,37.186160929434095,38.21484622577531,34.708073587960236,32.105075834911084,30.42377444846621,27.056772085224157,26.703121476883858,23.189805651683315,24.640686305965254,20.926955474670955,24.41562380895708,27.088636254557443,24.29605424571205,24.54341534564219,20.289836914437817,22.06356836231227,24.448744732567366,24.0715208905472,28.918581002057053,28.926909314159825,31.607781593932177,34.46642953592995,32.81447536701437,37.00479797721161,34.651034553272275,37.090039318581404,31.309844111404605,28.48870339079619,26.27701095569181,23.025600744794687,19.8398300011857,21.736733114261106,17.530598025337827,20.568744527196724,22.922896891328563,23.58551738227962,27.64251088819182,29.173215364618237,27.291371983700984,30.380424561426818,32.23353269018153,32.697005323065056,36.30792815156354,37.9028108310924,42.747568721983825,44.51677813512087,43.50406063966953,42.4647573680394,38.74496718505686,39.1171089407716,37.0695961858016,36.34572127730238,32.2160956830239,32.687890971383624,27.55779034560015,31.280418491821866,29.569246830228828,24.27778630230231,27.88107324756327,26.450896498961427,25.999255423580443,23.23427582388561,26.164042036695868,25.579074887542866,30.307469574998198,33.29799200573352,35.587500007238845,38.97178614432743,38.06017801061826,43.001751099520604,39.58042062103237,41.26243619970484,36.9979089750501,37.17558415514214,38.78622195248512,38.93743304253604,35.379186732936226,37.465251953371784,36.36983686179812,39.05447213145334,36.18265169113904,34.57969890953536,33.39248192860321,33.54759238654951,33.285478008613964,33.6173457489427,35.392615218050075,36.620251505925125,33.465793829058335,36.993374312988045,36.413400004121414,37.393318200450516,41.03778192725517,41.614995232037174,37.600696138443666,37.91904624330231,42.12717354599695,39.79257198303514,35.22472800206215,39.87078041104092,43.830088285410454,38.68727564342739,38.88810194012968,42.845497457073286,41.80010427533789,38.153756372390326,41.14294803870931,39.08903296598139,44.99687994292015,40.99391524976086,42.20855963250469,46.33119845526396,49.35129760209104,53.067259720899074,53.77237181637652,54.86765658858487,52.61434095587686,54.5387576199053,51.910513751346045,54.148371054632065,53.10863660445615,47.283870713921495,48.69812168980118,50.39438915370507,46.42867284525733,44.01900713029548,45.653767645260835,44.690983714274346,41.23781943924685,39.01074991342361,39.301741083031004,41.85364300229281,45.575588718210604,47.15911916897492,49.539930826747494,53.51978357219309,50.688866402496245,46.64085858308721,50.2517576352313,51.46661794887366,46.56752677697643,46.077592268548685,49.6125017492592,48.38055730381826,45.240114009610714,49.64187704807833,51.1093310883706,47.441767129003566,47.879206115208675,51.48180503545136,49.31581697987229,51.27991051960118,49.31152257037489,51.777409740387284,51.07194258592713,45.44378637073941,47.18022615238295,48.28495831882714,45.50140353405599,42.4546807235825,47.142164156679385,45.931376729075964,40.59505083503745,41.134766276795524,45.125886680628575,43.135815531495936,39.24716596681569,35.79784201744001,37.38653334811655,34.07268736458982,38.01710520144883,33.81235423993817,35.2768019743229,33.507902066126725,30.447591381119246,30.135455037874948,30.513010918798344,30.146370533317732,33.95005776708438,31.328022630035065,33.45962574886066,30.42266828911839,33.82325633516487,37.94431121548748,41.26948187409452,41.303795650248105,36.530019017538336,38.903209132747044,41.88157942456372,37.63113197964565,35.91380921090078,40.60594463317761,42.56194208156498,42.38250308102323,43.22629736349505,44.698232938177085],[34.04959750664727,31.562431801740313,29.943498674194345,25.057558523777434,24.58977592126842,28.280716295822867,27.26849674730457,31.480248368353447,30.798884005947162,28.613612209936658,31.484790390686193,35.252289561240424,31.353704733826213,28.95393732238701,33.45364233508739,34.184119402952966,29.81117013920295,31.964395700667627,30.133064661253602,32.65926947587565,33.40711710986361,35.73691663833895,34.83917194923646,31.795179710108542,30.891998326237882,28.495264489942944,28.60014802238434,27.403083763683654,31.306978535548907,33.95031014367193,37.8057728523127,38.95148220369094,43.14362785637532,44.63878883095464,41.40534598856572,37.65398773629298,37.91390609704246,34.11285837521437,32.19691840554846,36.52574358861548,31.798867180267997,33.22135156860163,37.07262858318304,35.629561413199234,35.77054022875785,34.034216290090555,38.30704047800345,38.58334093132147,34.44438141690387,37.9152855944867,41.632310754741994,43.64853160126988,44.119196455190085,42.40785316278747,46.71527279439403,46.25247591212184,42.2023016376261,44.82397718160518,48.404423692400854,44.57724001158171,42.87241607097483,45.48209360636894,45.20832612317616,44.81166181040209,41.59789012267242,39.53255245705036,36.77870946743794,36.396301128522694,33.154986889608445,33.91445474437881,31.866474181226096,33.982103374934965,36.87480585135263,37.960297381017966,39.2823456912113,45.00116206444258,42.781514761665896,47.017490392496,45.09318182616766,44.78432806324134,44.03817875893782,41.962333873779926,42.11245197546857,40.61679307360473,35.99946524872612,37.13409545172667,38.08436568889652,41.781913995632785,40.046793019780914,45.33906084411788,42.85813138318264,46.152933645194935,44.18996607522333,43.84020389434126,39.78704973260189,41.32979493104998,37.66271394487101,40.64785275166487,39.40697775829457,43.02305277843954,41.24959324819725,41.39571625003586,40.021553430744,39.039398058149224,38.88546160604526,36.008364118188126,38.55173139087347,35.81454140880864,33.73673172304982,35.0986275503957,31.681596895430104,29.37924288307083,28.110034021156984,24.82779565186531,25.256183065304377,21.78597232918979,23.756572670356285,20.253930520270806,24.586548849361964,26.98738376058611,24.321057094926644,24.16692287473669,19.578035202667706,20.73225866943396,22.680458170262877,21.56054732193776,26.08109858012689,25.876922746267283,28.276505785462387,31.22400770625705,29.124016704555657,33.29397037938394,31.03305941325214,33.78249575217732,27.922348054838295,25.33609497782809,22.60665630197618,19.869904855380508,17.12984754392072,19.481691233225078,15.947630547155068,19.50090983413585,22.033963415022765,22.145768585732284,26.266796160247946,27.803055750351888,25.688932849456656,28.686006836677915,30.136614594947673,30.73892114336825,34.006660491962606,35.98426232036837,40.63971342727558,42.69443349414321,41.967640913249376,40.74814167200383,37.11619590848691,37.051339076818955,35.321480021585565,33.97787500517592,29.79978727403657,30.853458804563097,25.464588457948995,29.324866928049605,27.145909208244124,21.676534707344157,24.81728186316629,23.302419827886293,22.402188762649576,19.825852037085973,22.783076447875892,22.641963151590446,27.59873768543378,30.76467225472704,33.34301092459678,36.722161986964736,36.24771739985163,41.028978698240465,37.564540160261,38.92936272493545,34.51967099418757,34.382202080652185,35.758895005306556,35.85332798852537,32.44451139240371,35.008751992719326,34.387625757370145,37.061540016946225,33.94719920539773,32.14225243287137,30.626728625571264,30.586258425237606,29.93215868389635,30.055897238676362,31.655252147458825,32.6545026819958,29.456637707943617,32.965191768471975,32.336034459018926,33.563815326115645,37.08014278272913,37.90594161508632,33.95660340628058,34.03011712380073,38.31272393764321,36.24165822783851,31.53941875309566,36.1089623173264,40.28726096204513,35.35434186513329,35.44122474406763,39.43426377049683,38.68540848359764,35.08560618581319,37.90346286766976,35.63584138493615,41.51032008746052,37.18917702048318,38.36025985058079,42.52116852837151,45.358715225385716,49.10259654521201,49.67242440178241,50.79543947971894,48.502292416099515,50.4215760623188,47.88026700478293,49.99329472711826,48.881450201784844,43.12784813674216,44.55480098176629,46.11582213332226,42.12985061290702,39.785446941551456,41.42116617148089,40.332677330363246,36.88906373035295,34.77375948967982,35.12033264225434,37.881054069429474,41.564418959104714,43.218453839809975,45.74625359830436,49.779240732814195,47.13031964056652,42.958028188205304,46.57067145042813,48.00726680120388,43.18154030100864,42.53494498894978,46.230479835858425,45.18249595185278,41.93382725826158,46.19034719810793,47.8624980389546,44.37669057706073,44.54265833074665,48.038049613948516,45.712047498209806,47.55821699931181,45.54696821730357,47.84629952782212,47.18292936381776,41.6034263675687,43.17394045706948,44.20567308511539,41.48691186158197,38.35069803738363,42.913235477658546,41.73848203091997,36.437639893332246,36.85457890878231,40.801994090369845,38.88336124530686,35.019574978485615,31.700256947780016,33.27278262546495,30.133415096558355,34.18465947426572,30.11655361993676,31.5233039552433,30.07646917723019,26.96123132479587,26.35811584358282,26.511142523706596,26.035042862758438,29.878552740853173,27.512077244800025,29.62981419908846,26.932031742969567,30.469037886731066,34.694280625842545,37.991760205126816,38.36270646869264,33.56983184936637,35.828497007018285,39.062569569898066,35.09492055673539,33.25403946224106,37.878400634560364,40.12524976740567,40.1459063856962,41.060116919804315,42.630717203094],[38.30190720205928,35.859289821857686,34.311027426664126,29.611688974387743,29.211618386145084,33.191858985853656,32.304391463623034,36.531525676169046,35.920003328204785,33.698183996263595,36.525537179966044,40.316097723349245,36.30338876431337,33.891674451320775,38.26768483511246,38.95609063882535,34.46136092977735,36.31340375173416,34.02372231329638,36.470178178346586,36.794192699688786,38.823262635974565,37.60297641107176,34.28147706193023,33.8130023052594,31.861978762700673,32.3155243330454,31.57026159197213,35.65520308006443,38.525300355967175,42.325035076629476,43.6394567770054,47.82593747972283,49.0871559293428,45.81068271023283,41.9187626893554,42.30580478699008,38.10497449463481,36.021996217661936,39.901107672093666,35.10240219700666,36.553680891306435,40.145337535512645,38.51493736423036,38.15091737272744,36.10156722797758,40.22440935774749,41.06457025099181,37.02028163104892,39.97105239153045,43.916040288533644,46.190731258457035,46.76066980363281,45.50793952651901,49.83791214587045,49.07508087233571,45.19887698475467,48.15169258672067,51.46301891803394,47.2829250126032,45.79443019147621,48.68507806179685,48.722855450097924,47.95823972126127,44.65165311722595,42.979578484686144,40.25815679106992,40.30485099252281,37.0329253413136,38.14922272403926,35.95373503083939,37.871540719762706,40.91739487299843,41.681463811323,43.32492542811879,48.833576883022715,46.579600722734604,50.94814103303101,48.960066707448206,48.41091776540469,47.90713261120605,45.617788627247755,46.08253482163609,44.32490763475617,39.63622285611807,41.092161878161185,41.91086663544356,45.909212042781235,44.03257303134011,49.516598000518385,47.05249697697917,50.28167493974519,48.539795472568166,48.394009354563934,44.46912503327148,46.04588386267644,42.479953759768144,45.51444292341908,44.37663993169261,48.059436740577006,46.10869596823328,46.25566490290159,44.67938071966868,43.6729737733749,43.13555903657321,40.4094781206031,42.75103222124751,39.80808327975602,37.91474020354577,39.549754341244316,36.296250292780464,34.0492412455949,33.04088258482332,29.6735908822154,30.16947143080483,26.59153243919773,28.31340487671605,24.542380972478323,28.441394616269562,31.304733132858324,28.77438471882745,28.92411638220293,24.436949371881006,25.753862331442114,27.769443595147177,26.427315887414807,30.877626812076443,30.446408144701017,32.587205504174065,35.34207103786974,32.87549631566893,36.830571139817756,34.331104823859214,37.439312056067045,31.542439226577127,29.41048438353504,26.467180024214414,24.11148148615169,21.639170403436296,23.772552179989425,19.86299762444267,22.69853296679896,25.738719809125495,26.204043150659373,30.11886363668008,32.06877621683862,30.16365958296977,33.38781432766482,34.88316256513421,35.69874109473749,38.92281459821393,41.03764536187961,45.6357426962132,47.77306013773905,47.06450013052858,45.77319722905278,42.107770518257524,41.94078761871623,40.130467187591094,38.62415487839904,34.19573786912192,35.143777149632484,29.553224768312155,33.102543662661134,30.452368158509106,24.80167192752344,27.682549591573643,25.459419582351302,24.87629038707144,22.934112122358187,26.116640425741597,26.4326539332856,31.280396854625486,34.65133707370575,37.40582928421493,40.95672770662056,40.68453188528582,45.25983421402253,41.52872057012704,42.84603123900102,38.148072457498245,38.40853356181806,39.24884927219624,38.960472257394194,35.636398850635295,37.999382573131605,37.388460958367475,39.74801947229505,36.180694844394566,34.270450085102446,32.7592917622982,32.84950163734149,32.292900621283366,32.702177417061584,34.36308290583475,35.29131051316747,32.47680950647648,36.1242285672395,35.6561022053598,37.34524449215519,40.673094577482,41.891098384152095,38.05270074876222,37.7444408727958,42.09975824031985,40.366773399910755,35.41229341842214,39.79290015038279,44.28065457127561,39.46581850337337,39.25643592076972,43.243717173698734,42.820481014908346,39.04837207781475,41.50891143243629,39.08151287734421,44.93104182126117,40.03626588536241,41.53949067495418,45.73285882020806,48.33160067137815,51.92346476160086,52.449282004605244,53.873724815037114,51.61706715970269,53.57834225161852,51.26011545767701,53.02985094800985,51.723445217012994,46.2291198622386,47.630940229539505,48.71648243345622,44.72524013540267,42.61498394100581,44.034551638404025,42.48531486790924,39.24994749857027,37.39382181525268,38.186604225148734,41.26889460473507,44.8845392371675,46.78490180045559,49.50380649028129,53.63934880653621,51.202611177570134,46.921173488673105,50.548746324279,52.24024970827536,47.50751656527839,46.68169995057486,50.504203180191546,49.61016275587108,46.22668109298687,50.29332697601424,52.120704807018136,48.71375968453189,48.578719425409325,51.96429113747486,49.48608440741175,51.305899162221266,49.350988951523156,51.36852056753817,50.61618327568771,45.181678429593234,46.57244426856189,47.29973888976465,44.63064320579983,41.506301408149795,45.66793683355325,44.28939395842096,39.19910106426426,39.47711923825426,43.00076450531522,40.95908233382572,37.264583975654006,34.28741658624744,35.152271650754976,32.241980870861866,36.61005585739244,33.01610126460357,34.84500466108662,33.88142343309397,30.38769518538855,29.67557608368581,29.31011046344546,29.068614961211914,33.156148721070196,31.397361685074376,33.496671194467574,31.248420353408587,34.86540332995615,39.182157474187434,42.432978171948704,43.04921673308356,38.25927565591281,40.35085725542135,43.749939362688316,39.97024627743797,37.936882847174374,42.456711845910924,44.8668698296016,44.963098677382234,45.902469736451934,47.49508311658596],[40.35868098181974,37.856905010303166,36.11487555169987,31.291464636253426,30.458690193934558,34.195477983340524,32.838920308858725,36.835341134489255,36.05407455345366,33.37727671154877,36.00158624724106,39.84618524524451,35.52035318597055,33.05964570277178,37.11641973500937,37.72819407265817,33.079139668014435,34.48680378200373,31.735950041800415,34.166346093281206,34.12862203581844,36.03259577419654,34.578964325392036,31.156072291196143,30.996249870029622,29.26099927300744,30.088548084492277,29.72292209336108,33.935447297493404,37.11776827012135,40.666721571026784,42.32603063847149,46.42970888574064,47.34243468932931,44.10289513796076,40.05513444887728,40.757256131149205,36.17161395001024,34.11099173158355,37.84871660887563,32.963075661609636,34.08343530921993,37.5560535327125,36.0441965157871,35.43022689795179,33.471052730680206,37.532342639050064,38.527337230933874,34.768251579344486,37.693626645272246,41.577924114332674,44.03749357280567,44.416755000272225,43.41607394188801,47.61922290037089,46.53983122250647,42.683166429062155,45.738744423423306,48.855951303523334,44.51602575801731,42.981742867090205,45.92876727356653,46.13164506680032,45.07543664739013,41.77515707567649,40.380617615320055,37.59970276359409,37.98638304520824,34.71009601374986,36.19101747644308,33.90693354997944,35.726469912584,38.78707082177738,39.2108482610577,41.10494580026503,46.39506394681586,44.16047980722095,48.635021467007874,46.68011582011182,46.041330252132155,45.86275353148943,43.606994970210565,44.470378589465966,42.731670770874224,37.94189698565597,39.39518921673562,39.86886125840542,44.10544548009852,41.90716970011953,47.498993090323914,44.990898975794416,48.113347709941884,46.622883157820795,46.74417622153058,43.03572752371763,44.697016518774674,41.35113523936295,44.43160518895909,43.583814675035754,47.56875426661818,45.228664391658185,45.77270725733731,43.794105844145726,43.22446822532214,42.58770178767512,40.24780153060175,42.83885296840637,40.059630893383975,38.481041021641374,39.8831022310841,36.795152711316774,34.0727461771207,33.088304456646036,29.40435149549712,29.477973010913384,25.723242041623035,26.92411723271761,22.86771555177861,26.190138960064395,29.479186881248147,27.150454410372866,27.754418979057473,23.52976711659944,25.29392528001959,27.77433712652486,26.50136465052433,31.48897170337131,30.782575836079832,33.04248064063616,35.39884011385496,33.3803665538272,37.21776949319866,34.39669726652805,37.23484903563871,31.41578217379189,29.266651218877325,26.97112742318795,24.090203894357455,21.345376701642646,22.884231213206196,18.332521053607483,20.496818378167053,23.681185114584093,24.61701614865431,28.336040409981237,30.562141231688674,28.975446072596046,32.49326329311268,34.33764347125694,35.43556866549388,38.948338925738156,41.09505351786174,45.717175130829766,48.04710774054733,46.97155358570575,45.498674345655566,41.66502290331488,41.62863813533593,39.40971801759701,38.19254381125471,33.519628354271596,33.91496364434322,28.372508684512212,31.620945140149583,29.130426046736815,23.598370595661034,26.8655899490883,24.641684330414474,24.681029107557524,22.611706896197216,25.832557968110933,25.832272657917528,30.383005644184244,33.697121252364795,36.309041293962316,39.98932893529396,39.55911149248877,44.066040067753164,40.18184286801749,41.72450284495857,36.99960643538053,37.80952026220403,38.59733889669061,38.22197433901614,34.76063190513385,36.585126760756914,35.58773857056693,37.86543539335362,34.41901662389906,32.67798225544083,31.493075929916508,31.811156059001362,31.728276294387257,32.46647508978101,34.41511683358477,35.7512331589488,33.18023928233979,36.9848375256679,36.89609497418594,38.36509738531952,42.02472636273817,43.09135031200144,39.24247855208322,39.37452645388395,43.75161894688801,41.933826604285024,37.30535053177104,41.812675350157036,46.11655080736064,41.391895235846626,41.46415683541657,45.46881428239445,44.848724838825184,41.29692070088773,44.017359961112376,41.62758916808096,47.466870680636404,42.770562370221235,43.98938302376355,48.18205815001208,50.73981180717533,54.47020804498997,54.82473701043517,55.97752367552208,53.52726324248995,55.278769548925204,52.69908775621072,54.46296607291199,53.45245873574047,47.87635118380976,48.98781995468978,50.23184258544029,46.44427291703896,44.08569663230226,45.26221059792861,44.108037340616185,41.02024709310626,38.604916038475295,39.66219413108458,42.224742491173366,45.93305754259338,48.03066341405858,50.49431752432059,54.73717041872907,52.03800764350723,47.936202740342544,51.850554184898954,53.325364258465655,48.535755149078774,48.07244208084212,51.920877371191054,50.974258478010846,47.80303949784431,52.020436721845186,53.8156292865582,50.458134896727515,50.5646556963414,53.98783397028352,51.5480758147853,53.21207148107793,51.03652933801791,53.141883183249405,52.68756597319293,47.172413059923755,48.39082902378186,49.40800008604222,46.851402038877985,43.4912812230809,47.72630616915213,46.68489340897522,41.53057019267486,41.53027870840109,45.26294389660705,43.51823334094901,39.80743847760761,36.87410626333635,38.02623333374475,35.22700236277905,39.55074000858139,35.80658872503977,37.29478441961792,36.13263610649378,32.945367314747855,32.120402452236924,31.900057632300157,31.301661872821832,35.15914251184808,32.981702970580955,34.714463533706606,32.24605084269223,36.178027176720136,40.156563137398976,43.580135720441724,43.887514395037144,39.2543441357717,41.75372003750172,44.97371063314566,40.881808385451116,39.34884964711316,44.011627364143976,46.20353950282115,46.17600735176225,47.005674976695026,48.48526233868153],[37.85979808572646,35.17407291233439,33.004175611676196,28.332623983711528,26.799451766558978,30.641925130858386,28.99771341652488,32.82288457129663,32.31381404131671,29.534959520023566,32.27224974869432,35.93996292711156,31.38976212801759,29.308954789768695,33.30222862703433,33.65118414428531,28.954062511322995,30.4958773384553,27.998527572534634,30.128424678560144,30.405716723857587,32.239521368579105,31.141099649053636,27.839556698067394,27.199336923141928,25.40472318670776,25.828784437412054,25.398259466765765,29.639085941737697,32.73833148072585,36.669164721924155,38.01525661712795,42.22268256280795,43.17788014376487,39.78091250914434,35.78289072592192,36.241136524636545,31.707379615680257,29.543027107465697,33.292930905631344,28.457156393275127,29.894522225028823,33.42717396625173,31.79501102123496,31.469301756740993,29.534775383115072,33.70905238248222,34.40304674939099,30.442747709184697,33.58846063635012,37.413014579113494,39.70798416230662,40.147640111855836,38.9136720475329,43.181274653032716,42.35155199489849,38.471377487534504,41.45324250011585,44.726143465587995,40.55722394624614,39.111415479527786,42.08501385564731,42.22306701212474,41.52447594049716,38.11386755358848,36.453488558585455,34.02812237683035,34.22049367154887,31.28059506907998,32.726482968874826,30.709786059031558,32.92161838696683,35.60307503916679,35.999682513783384,37.48562222472683,42.813151192774825,40.28467887376804,44.67025307235543,42.53100706685678,41.818446980854226,41.39931747594957,39.05009898866666,39.75650104440655,37.979015873816344,33.219785861259105,34.7224865875078,35.397570918261735,39.577641012224724,37.65921355394904,43.30310422546099,41.00971960411311,44.372924436943585,42.85590248393874,42.85754454474129,39.141198540429876,41.032005066281954,37.70206732851676,40.396123464046696,39.476600409089805,43.389060058616614,40.82147998570809,41.23552716063078,39.13645350451436,38.519708302164396,37.76275749216225,35.523575308049516,38.16390159611658,35.45671881367613,34.03989820587355,35.35775391018083,32.42805732181436,29.520175854754456,28.762129926822126,24.937306772111988,25.20295282342267,21.402161750884844,22.65644407191326,18.653851979110456,22.41376268313366,25.585863726037868,23.450464526997624,23.973053411426363,19.707572994614175,21.316407529254793,23.82807168415499,22.16994994078498,27.351526374711835,26.342391688050647,28.58279409555269,30.729090412945133,28.943604430660475,32.74350764688314,29.852673876605508,32.515204481467784,26.735459818663404,24.548151574233668,22.567476783268525,19.462900160599283,16.73199021881494,18.11791851349972,13.664058765693026,16.054638998560893,19.265867645555474,19.977993597259072,23.706569064721428,25.956654577300224,24.35377602659419,27.932348015077295,29.73506714759721,31.07388326468101,34.56561860083431,36.946764728364606,41.44364427083281,44.09034026590618,42.93083237095832,41.21857234860778,37.349766427477114,37.139109706967254,34.875899604018414,33.50898535674799,28.73173801291836,29.166635486720967,23.559301761345452,26.831747054935594,24.34391280528716,18.831596616772963,22.224454686363845,20.30593461004502,20.361246607571037,18.013160833392636,21.173812565220633,21.015334187358068,25.536897404487,28.837962887695994,31.46756430204594,35.15906252103586,34.83555707875092,39.269575236573814,35.37300596400679,36.87463781422326,32.16477118736477,32.96972262687766,33.812563369826904,33.52836084244195,30.021180555931497,31.908010634349715,30.97428589949487,33.37551646698771,30.08130104321975,28.361358238946995,27.159379552939594,27.424112141021286,27.358626346459275,28.053122380231848,30.069825605063382,31.599850704554825,29.01841215238605,32.85183977304154,32.96863880942183,34.208755176145445,38.106778895996506,39.03954765083011,35.21476896852677,35.70885485002532,40.08077385169026,38.250271805170456,33.96849507820025,38.5508458830926,42.67817722719439,38.18019472385438,38.53320420637582,42.53366445628402,41.828433726591655,38.61167650550299,41.54454549910181,39.13106687352876,44.88530636637788,40.42710454187197,41.22134597705847,45.387659208993554,47.87516609131204,51.780133653703125,51.92469026566627,52.73283636731333,50.0978912178634,51.653282216483404,48.83432183581999,50.66760402948986,49.93511840608373,44.24675331371791,45.144083885979754,46.64671859406888,43.024430014351786,40.41359914689713,41.500593379532276,40.801220526145656,37.75174094456831,34.856365356408304,35.94858908369116,38.0684460773235,41.83681565077466,44.01136131630001,46.27426839182603,50.569825821092216,47.7064028022057,43.7299760395181,47.84440778603435,49.17817371208328,44.38023270720596,44.18381389729176,48.083538232865266,47.163719634496864,44.1730056921944,48.460910729590324,50.2937243428048,47.097820546674775,47.338978392178035,50.73923079838056,48.30325502291502,49.758580866539816,47.364072268814056,49.53983481770455,49.396955911313654,43.825662478224885,44.85992836625765,46.19327737740292,43.769251635581895,40.17664251075412,44.53838931456512,43.89432447391805,38.658560833627895,38.40966368922893,42.4525769539691,41.06439244554641,37.310069590423865,34.38475387396026,36.06052164636401,33.407546270678694,37.579398987606154,33.65517671069581,34.615278588790055,33.33395410516888,30.58479433174482,29.51360675930679,29.469893667853622,28.402065702090386,31.922429775165057,29.345093606703404,30.72826898634459,28.159292434747357,32.3763113698067,36.05179337184444,39.58734449251145,39.76888080251345,35.30195347986291,38.106785622913584,41.25724479145567,37.07064158569825,35.97408936854522,40.6958686642535,42.82553312252925,42.811339786396545,43.58650136554879,45.023189803350995],[38.34941275473671,35.609752386713545,33.390628183908454,29.116899264681287,27.655230579255193,32.20844286041231,31.06338079627144,35.08547015672181,35.03695396091926,32.70891889629567,35.7156605708968,39.22456183015012,34.805052976375656,33.01512323519544,37.20861760496114,37.44041296942376,32.81431436577857,34.64324035220674,32.397136142094695,34.24711533379095,34.6727175099168,36.243699705299115,35.28663232562625,31.920294048380907,31.14228816000691,29.596334720878012,29.703046751299727,29.26316972900464,33.48381689240051,36.354233561909105,40.73097389332055,41.636899266023754,45.97771368254576,47.10874495904868,43.54351616798593,39.64848329379893,39.70472208241494,35.28838209274371,32.880732189465604,36.23316307587977,31.542799451611554,33.592112490544686,36.94519925669448,34.89911583521274,34.47232810795232,32.10427438583808,36.172578565356474,37.14585195557908,32.88248677601859,35.52643403207254,39.60930447772058,41.84965633406847,42.67417352401539,41.530865631842836,45.98072118475063,45.35605653376158,41.68034398067316,44.84175952599991,48.10723964486589,43.869918460703595,42.805671437556654,46.017315127145906,46.273242702303584,45.73261945674062,42.179828644815345,40.493032423491265,38.42344642966044,38.56793915830585,35.83736630695912,37.19724997781666,35.3031878043594,37.63157164390623,40.21552297655448,40.64017289445637,41.92175342437241,47.25360549079622,44.49576269796673,48.80947588541198,46.45831891518973,45.5378549127472,44.85468982857021,42.18376708991839,42.65542584530232,40.547583129410086,35.90960204308043,37.79692613027243,38.867522551928,43.01416142478799,41.523356917655256,47.23284342045568,45.16770746463075,48.71310772717183,47.138233769473224,46.97548230350944,43.1599762836469,45.12595426835882,41.67025963326523,44.102996797930786,42.906735876471394,46.47485031651213,44.03235477004306,43.881882186097044,41.973065191263956,40.76912734698336,39.622393293033056,37.15899971777691,39.293256414160034,36.20409537587624,34.726280017800995,36.57699827422953,33.7352947619726,31.35982942545981,31.005833189457395,27.419903666890875,28.418995514402667,24.75222993093961,26.439191640057633,22.654996412417084,26.822345563910847,29.825387012372843,27.7208454930464,27.9328993092501,23.4570279778671,24.544145830647675,26.532827019075945,24.319055390099514,28.864219076009302,27.753603842783647,29.542097933503218,31.826630577727727,29.224049811450815,32.894190528138516,30.083561386543956,33.3681080935723,27.509999973398553,25.858845003067216,22.99910588998325,20.90025980983478,18.889617113515392,20.765365321931405,17.06081394562588,19.56952045841724,23.021478814733232,23.346890084278062,27.00108738031292,29.31796767361024,27.550234036163673,30.982843272781,32.34743716910388,33.71056370649291,36.77610289944534,39.42445627099046,43.74443954802191,46.473789185014255,45.70764755471533,43.971575567736274,40.252783515517685,39.655840298725394,37.7852365987927,35.78959863309594,31.01164217692226,32.056127287971684,26.219954995617282,29.479951021356932,26.287703861882083,20.561203709061346,23.101424292418287,20.553203516231978,20.161099244361207,18.60116880233143,21.891618686484225,22.60061206149886,27.296520356466637,30.850548484035272,33.84156373321781,37.534740327096586,37.70790979322056,41.908755280924886,37.92388468546658,39.04904238788673,34.098967486486806,34.65942539035553,34.977288997885864,34.4167726678032,31.185853168019268,33.534939245932975,33.15731164659129,35.33164283467269,31.48924697325294,29.46844993874418,27.85822642379868,27.956139441396843,27.412781659741377,27.994040771591916,29.761471132807486,30.843303716577356,28.405309192853274,32.236312335163504,32.237775023022664,34.103116077288824,37.58767305663735,39.04499091915267,35.35919970314802,35.18086390999559,39.63142145767315,38.25668058206165,33.551331387365515,37.873909774168425,42.44308732566414,38.11831370693769,38.049635586083404,42.05091015839984,41.85179266658604,38.43803014114176,40.88720240413859,38.219071245167086,43.92792880183933,38.7817202575335,39.91383876132702,44.12111610805114,46.339189533069494,50.086843594827016,50.19345087981364,51.36594946887941,48.82880029171989,50.515605645148646,48.05066763229638,49.554213756981916,48.483672426361224,43.07505054541534,44.110770306225525,45.09034443803239,41.34904419266702,39.08143778832007,40.12871589157302,38.80055564146941,35.84054029755693,33.496394693862015,34.82905158485764,37.5999612764308,41.235608843312086,43.529076278347446,46.15808765537513,50.496360392253855,48.04730464214906,43.82493065636448,47.78701195495037,49.554397339039554,44.910418852902716,44.29156589565294,48.35668359558066,47.68535534721048,44.426573843513545,48.40530876052812,50.48412211588297,47.429561627321775,47.172896072495085,50.40735862522886,47.75010468115658,49.19133419476231,46.92770535060666,48.748821359498066,48.418342927027844,43.02865227937972,43.914059379229435,44.83481892822536,42.435554408318275,38.912708486562494,42.860924214676054,41.933405628317125,36.907501309225545,36.604796439561134,40.208393577742534,38.64525822642595,35.040455074156135,32.437071807673455,33.46477874213485,31.057971683722855,35.533638137091515,32.11042750603142,33.484088907510596,32.845224763190515,29.659786992132933,28.38289802416672,27.751742591017738,26.94512100732849,30.774789106595218,29.033400259210456,30.58860050246117,28.702248683073794,32.8554777939642,36.83646140240017,40.211371574161156,40.94166497129815,36.38919250267966,38.76809862112937,42.272781698608526,38.56882066245528,36.98426472116912,41.504566341744685,44.02565306782745,44.24552687920679,45.137071261549515,46.70655844774383],[41.47741828503444,38.82909485191977,36.802628253719284,32.53211512838109,31.36574916327224,35.934487241977685,34.91308968118011,38.991628575914426,38.84417040920496,36.5075637216703,39.44586714439636,43.04009143345347,38.640513171371666,36.6913492944825,40.8513553767479,41.16237284984173,36.496445160488065,38.13546714879047,35.595709889380686,37.52172441034536,37.64301332155844,39.10197060253674,37.87607097666035,34.358267840883606,33.950466672546824,32.62263087804155,33.03728651918608,32.816599673532444,37.098425610748976,40.10636115039486,44.30296156568469,45.41182347863252,49.70721631722557,50.70846660404354,47.18596514443847,43.20936527110125,43.42754129587014,38.81531270391809,36.39052826744391,39.53661133009427,34.812781244309846,36.722444977862835,39.926011929478115,37.8596042938229,37.09340005608136,34.59609207389136,38.52174661447857,39.86673139943587,35.76491222476863,38.07038828800907,42.25059183682366,44.670302071651115,45.502714255708376,44.670647224180314,49.078976102913536,48.215585002075365,44.64449547354568,47.97387917995537,51.04270305446864,46.59055414352867,45.59554662389234,48.91964243619578,49.34372114456152,48.50545042359601,44.9559035444664,43.55039914412684,41.37339226071279,41.77819079460067,38.91815192088399,40.448207198197245,38.397769050018596,40.510035089248134,43.28543686358284,43.572229637248675,45.138036361196235,50.355828238673176,47.68767189398412,52.090138156268274,49.78007161911618,48.778499421710784,48.3048154302428,45.58648294977651,46.27371418204203,44.079863497834864,39.41105981997312,41.401317599190364,42.31598385744641,46.61370587394273,44.945352286470445,50.716182453927686,48.5806278079316,52.00820674889178,50.547814825842266,50.52423120279087,46.77239513321762,48.67519922035987,45.26081200982686,47.85973850972821,46.746519947807954,50.388169786170764,47.937248079385725,47.863124415329246,45.89648271686215,44.73527394188863,43.48263932113814,41.07784137940891,43.12399393920002,39.95596359615522,38.51782795839638,40.47635180918075,37.65469153490707,35.34289802562918,34.98327763718794,31.405445077741916,32.3014075041633,28.60023487898392,30.13858580310669,26.21946496548919,30.02782113942576,33.266957276231985,31.146679485070038,31.523897159221196,27.102704170955366,28.348798868441886,30.393773918930975,28.29542022699614,32.775090008805854,31.702988969263057,33.41387160134117,35.66512107310792,32.894732343272636,36.45045145937727,33.575264746688596,37.016822667765396,31.19263468718821,29.731635313299275,26.771335402694476,24.849731252253388,22.879003023889126,24.668826010231868,20.739426535864776,22.84345579383701,26.44706773384343,27.027163079702863,30.57681430678445,33.04674250985695,31.389480970831993,34.89581487589724,36.322240796717885,37.68241255745509,40.76224411866727,43.36730850975264,47.714213674726444,50.36625412868541,49.61562969705392,47.931230236935136,44.20235996174918,43.645964554961864,41.7340679420891,39.76466007076339,34.93438585622734,35.87017996261595,30.017899694657316,33.11141406439048,29.784595342674784,24.07263335342371,26.473680043995483,23.5717648077768,23.385908459883336,22.199619309736246,25.52651692226985,26.4043288104083,30.99165275782936,34.59363105847955,37.61461069208092,41.36545120087696,41.56177676020209,45.694844392094076,41.6085683076242,42.7436798288875,37.69473686357456,38.457312240781214,38.534090982813204,37.7755685882378,34.61570144258873,36.78916747490989,36.36194672878407,38.331891001796706,34.27169923230649,32.234784251205255,30.681910667972915,30.876313981771396,30.42256754442551,31.166164889469638,32.93195788325026,33.92550245939394,31.706981612773447,35.547266905500734,35.559880246974565,37.666816650745005,40.977490925001284,42.626623777418054,38.99539558295865,38.554614460851234,43.0089151294321,41.774965663932086,36.88083249682118,41.081016487548034,45.81123130837249,41.46638887892719,41.18821495331034,45.17312714394459,45.12718619642468,41.53873828515476,43.768504749383034,41.05796086515491,46.76365277656629,41.31828121622161,42.73248702094148,46.94175555388883,49.06915312466691,52.67075708599026,52.82540583525442,54.2435816785488,51.791704900919264,53.550430149087234,51.2722068132389,52.58652475065299,51.34596290422893,46.12419574106586,47.205944098814165,47.87418992905707,44.10696226436951,42.04464611885291,43.004534755438826,41.32573650303035,38.486394438111745,36.434619008693296,37.95038586465769,40.9713187977768,44.53424446643108,46.90275418024455,49.66121827028181,54.01181750755947,51.709060552773096,47.421980051081846,51.314817365752006,53.224342169261654,48.63209895120319,47.86228101237244,51.948405319741994,51.328777541328776,47.96757709829484,51.838459796108076,53.961018443807845,50.88757490567956,50.46978399537455,53.65992855641953,50.946360042172145,52.441137010806294,50.28056629573854,51.950804290624156,51.48259113898854,46.196701731885184,47.061328240317025,47.74031086031527,45.33245615643224,41.91318938396609,45.61318963513877,44.46970369906417,39.60206244441798,39.32125044783512,42.59528041404933,40.87011738978853,37.39063823297995,34.96233718970501,35.48028485126571,33.15093679658659,37.779686384376966,34.64609730164684,36.36904674736243,35.95596225332426,32.49124611303422,31.280911770179074,30.39347391684251,29.861627068051753,33.865745519784426,32.50695534513468,34.16024514203874,32.47247320379132,36.531636753601106,40.62721772319775,43.9390073196172,44.78770771365341,40.194448030607354,42.4099140632707,45.98463286406182,42.37387219412637,40.58050505187624,45.03969732053165,47.63136284071597,47.87077156529047,48.78868342266085,50.37897243610434],[39.014742007731634,36.39928146464392,34.487998582118045,30.414236864980868,29.546023987058934,34.34106288651532,33.72931658203575,37.968526253017664,38.02003045913634,36.10322094127549,39.22181659151156,42.72519745669884,38.61158242486274,36.75955703178438,41.18193825928036,41.536491183432716,37.03154325098727,39.088584914999124,37.013307664548044,38.943596249611645,39.444353353183814,41.05049513100574,40.08480371603677,36.69718227084178,35.94789377913835,34.36943853045615,34.40313514813131,33.80175429369924,37.939359952564935,40.63192259933754,45.075753676556616,45.830495565925936,50.198856429379994,51.53547538933163,47.977853505200926,44.16798416252231,44.07129523448564,39.86311778520028,37.43836440058124,40.755133961689324,36.13699858965319,38.34449766875393,41.686461152398,39.54090389567178,39.08893491529515,36.57144173982036,40.572969049845966,41.670260842422586,37.2981677641721,39.70981436091776,43.89392298201227,46.088492387727314,47.08359522103276,45.94696689123307,50.464997589375216,49.94810309529751,46.33887428719946,49.5209577852162,52.80619146660443,48.563028047660374,47.58200266144455,50.81586454269167,51.04823225476158,50.53544471833729,46.98899331436689,45.27318995546817,43.16195201707638,43.210841246394736,40.38065555164287,41.55915071133881,39.62010667645967,41.86066602204177,44.579796740263234,45.190509952500626,46.47688337845329,51.90738488701308,49.208573149523744,53.49186522118582,51.148978338432386,50.252142422049836,49.44184056448834,46.716498202461054,46.990122289990495,44.809637285251384,40.260989486609255,42.21599974516537,43.46868034448422,47.503904748529976,46.16356807594303,51.81177528413014,49.733900183364184,53.27738182640378,51.572105273187844,51.282558060830006,47.33515364166853,49.177954147950025,45.57260672949887,48.07769832362748,46.69098144713461,50.02942537523791,47.930394967269706,47.47228051286213,45.88792644237589,44.316961099932065,43.17358746615118,40.41128360921524,42.21979357742117,38.92187761274977,37.193991130744614,39.354342788575444,36.405655355767735,34.54440276516264,34.18925253529807,30.924310865485946,32.21967256263178,28.710743121268816,30.71211590991472,27.088977495764496,31.426117696816938,34.24494820350938,31.964834993658368,31.92603936528208,27.308705958088595,28.12884119983949,29.73277933537664,27.54272966076274,31.48799166395211,30.648340123894695,32.2274048373655,34.834861471768654,31.675192176546997,35.33137004638618,32.80058956475186,36.45291600536523,30.596139270137837,29.141190005755835,25.608466546336857,24.20305466493198,22.522943325893067,24.828906811490636,21.551916628328435,24.29292727261304,27.688800138162634,27.8120771083149,31.531379269863287,33.70290244114982,31.753383243325693,34.95954307152028,36.047701489709,37.15511801507122,39.94224580429098,42.53085600029096,46.81930660140421,49.32003456063743,48.90538316592878,47.36868624468476,43.80980367916318,43.11690721078721,41.594773791612894,39.356639155038195,34.78970837816136,36.24445070591858,30.39928412640913,33.77680723478429,30.372619096929157,24.624349611366192,26.661521885871647,23.88826283380502,23.04106450011875,21.93468683796975,25.159583728505773,26.29638874552796,31.128877454877575,34.741960152729106,37.867178500720996,41.465234783435584,41.8030385886373,45.99268596833957,42.087533187128535,43.006762059876934,38.03394972502899,38.23478331055812,38.40655150717717,37.77800076234878,34.758335931599056,37.46423988359065,37.40511496701292,39.49165474346551,35.4092475650343,33.23896199902949,31.381424232332865,31.32627032335405,30.39449526773482,30.769387298014873,32.23210015704639,32.82442367589472,30.346816914083593,34.00539483722774,33.652138116419465,35.937777842732224,38.93761809441973,40.71077903738174,37.10759184459832,36.27997463471553,40.6990660133293,39.5555342838482,34.40984281941221,38.476295597389665,43.35200069372835,38.977051247548516,38.464286779731644,42.419543876769424,42.56240530444585,38.8311971733385,40.82576169488081,38.07176491181696,43.75633026941213,38.14629479688013,39.77138214706121,43.9721258057074,46.120952656583775,49.61520370331969,49.9038235231799,51.53443767871208,49.25000251719398,51.188242428964685,49.134704140067576,50.47481795171845,48.98106155422185,43.823413427728084,45.169142747973204,45.72785190612461,41.77641272660104,39.929311085508864,41.133761166533056,39.126447721370056,36.13275026357556,34.59450003664001,35.82719949629799,39.304232008481044,42.773101587991135,44.94068780680631,47.91562210324377,52.1544528465854,50.08750638509911,45.65388082506732,49.28081294645166,51.374529053032475,46.84826734644091,45.76487679633008,49.82200568462884,49.259381254564886,45.72909787694704,49.45208393795523,51.60830894125294,48.52328624434673,47.889489391563174,51.03001317597215,48.28294915311979,49.89357377296246,47.92009969829159,49.51353214241995,48.799244380167096,43.59246524890595,44.59768167416558,45.03626595994339,42.53974672503918,39.323407213104865,42.9671494181018,41.54724327702322,36.73311989322455,36.6938543035894,39.8057551434578,37.83422509433768,34.36243933689589,31.901980169187357,32.20307966863355,29.802463517374704,34.4596671949585,31.472328514473574,33.4448053326154,33.23648709141785,29.55293368155616,28.393135458036078,27.35916824438199,27.11362340042345,31.289942233120556,30.31409230979606,32.272413626459546,30.808253061447058,34.57503402185348,38.93456268329655,42.07876781542222,43.208644573911606,38.5088422189196,40.36346874000138,44.087685630894526,40.78169921523765,38.58794578748928,42.893557241439375,45.67699711280387,46.035708525806065,47.04450519274224,48.72812509498204],[39.66843962383963,37.292529954857265,35.89483766902409,31.6265049782519,31.54342399845514,36.001414876655026,35.64859080858602,40.03531906839845,39.75893597055331,37.981499407351365,40.998494571027805,44.66516492548304,40.851638184915174,38.619052282798165,43.173033448030985,43.820555913143224,39.41093618315903,41.500252402376944,39.40262685791588,41.69363555210535,42.12373608911799,43.99376035375884,42.85137853153925,39.468728075982334,38.92744123289149,37.127392140100795,37.372525266112255,36.59203728276817,40.65078522145647,43.330308016949175,47.432061647325924,48.41989909606513,52.69716314081188,54.13535771472048,50.752701758071034,46.947958179557155,47.036731997618716,42.96193049233927,40.71676510228336,44.33279515034637,39.64058574534214,41.51637151129371,44.99505127916431,43.072381318658806,42.62688312867911,40.260838462130884,44.29043827426432,45.35572515784339,41.09700334118389,43.64905250326396,47.78325733240119,50.01375219469499,50.881544437367666,49.69994201034606,54.16093172867991,53.556372771539664,49.83585353755458,52.91617141333365,56.22254022832003,51.987821182370084,50.76936945735908,53.82933438330778,53.94203870196545,53.27654667153947,49.87284325251963,48.18091144701833,45.67187385950963,45.66956318605351,42.501327873667876,43.52135999857263,41.392704610999964,43.35691329646424,46.377068299860824,47.20601139433951,48.726926044996546,54.26822249967655,51.88372935840478,56.20463406019601,54.08062196432642,53.401253232782295,52.69462646077465,50.180363830067584,50.439528468649314,48.44810810442901,43.866503136480695,45.58733390829653,46.70600876743785,50.656827886884315,49.09388043684527,54.60951894643723,52.285263152393064,55.63163609192264,53.81411044309698,53.52412118967945,49.496931000534794,51.08028718851659,47.392319443510424,50.27688837940887,48.900840375487206,52.27100075050514,50.527122019526175,50.20547194651603,48.867121078757975,47.36372512385884,46.581453065342274,43.6219788053519,45.506681144394534,42.26598220905943,40.25315078927917,42.328763512506875,39.11948672382176,37.41494462449377,36.66990514492167,33.583075258447685,34.618095905298,31.182473614479207,33.23141205606953,29.62488652735531,33.809476913684215,36.541082861916024,33.998059756192255,33.8987326996924,29.275557356095106,30.194120291823143,31.75356846341721,30.086849279818498,33.87766977409,33.48611548957427,35.24220099619363,38.169558232789484,35.0183734106118,38.83467544324491,36.524317815947775,40.121116652887515,34.23925089768018,32.52870530329048,28.87629958020354,27.395506061774512,25.482612478677503,27.96689467610533,24.57873085396908,27.50118677607703,30.69709734425057,30.897390669673634,34.77733439405281,36.74064168183219,34.69504537466124,37.76181624598794,38.89466713821965,39.64105445595498,42.47801532065003,44.72662242305134,49.17420095538204,51.26196604734248,50.94714339180042,49.7216948059362,46.22432888119884,45.7787222921305,44.342970130949546,42.36385562493545,38.024094614108776,39.46638744823968,33.74504849445679,37.302573191192266,34.169290001413366,28.43068424412045,30.63730032584865,28.00755564565947,27.038922801856348,25.749458293128818,28.92023514141829,29.873279181682683,34.815090533830244,38.34060001526574,41.35119303059008,44.86412493523277,44.9605029759632,49.3731831071966,45.61601844193949,46.62655255350779,41.78356067771811,41.77794733725763,42.23102040284729,41.74480107399208,38.68939170363978,41.434781129613896,41.26588956893108,43.445760897915626,39.469798774145154,37.34753660690979,35.5243509370204,35.45711998997221,34.49217000142166,34.757177334851946,36.12560529029631,36.565199045155964,33.87114630171758,37.38275954224011,36.688633331704935,38.929030711663145,41.73460190810241,43.41272475955438,39.74284601252026,38.715937588631384,43.0476955171474,41.73059376253396,36.36520738490157,40.388666330990844,45.25549999411623,40.57695884233627,39.87562725708897,43.788790111555635,43.86604426613494,39.84768352488612,41.72474761589281,39.125264270673426,44.86242018596804,39.334744366456086,41.315349110551836,45.48173146779029,47.8510228590612,51.16690246353181,51.770630942473616,53.66689062814238,51.62781743010132,53.78855464350958,51.92117776153541,53.387836130781,51.660800119125796,46.52364839209631,48.15475515482422,48.68961018570826,44.55738375153535,42.90237502406203,44.35878679724605,42.089936511275766,38.93819491811196,37.86294789241921,38.740970330561794,42.52207342670381,45.93823850400791,47.834541012840454,50.924420076047085,55.00986787753232,53.02891070905882,48.52744583881278,51.87199378653896,53.97945964417944,49.43095124407111,48.12895511370941,52.020086833282406,51.3409941682663,47.68475904062996,51.39598399946308,53.40220805485646,50.09373523866816,49.45441803247832,52.6596874751243,50.01667200647726,51.90364444459825,50.1973213172894,51.86009328235732,50.79286451286848,45.620309987703386,46.96905440129378,47.17506503201963,44.49500176605323,41.61978665025974,45.31200612644611,43.49564315396121,38.72253031025576,39.11488260785036,42.0425669249216,39.67827279216626,36.209568439684816,33.561483891435685,33.57026929435845,30.85929993270096,35.444712293341965,32.48545165172024,34.886219505708205,34.56841569475028,30.601035801448653,29.851565888324487,28.91176766855174,29.158630127085225,33.52876654168697,32.69552212145332,35.04894943391234,33.439710867228584,36.79239203806338,41.41222006643791,44.426785693504996,45.5589871565542,40.697800395379375,42.263360392166575,45.95217523087941,42.68894163632588,40.09985045175364,44.3388243681199,47.097831976871454,47.40656158192885,48.46420540988639,50.180275558744334],[36.61368584423936,34.43318992293714,33.47460680955387,29.013969296324714,29.652236260615044,33.70578374876054,33.63055964249162,38.132381709842484,37.61213591801508,36.11204431248669,39.086568461061255,42.81122790009733,39.414963515979856,36.93952311750574,41.68448111446174,42.59175198567719,38.40709326998167,40.76477088073021,39.0216420756883,41.610482058735016,42.29849756881568,44.55364077003151,43.51702368958103,40.32344442238776,39.62808892995681,37.385333820425515,37.51744662470509,36.290846848238736,40.124085336745374,42.57173471979226,46.46854681061298,47.45002521367453,51.64967909482726,53.37295436278262,50.160588394071254,46.500188868744274,46.58450450328819,42.94762517278474,40.93679728374591,45.041276222380695,40.36831291099589,42.04751218500362,45.78907885385051,44.120159661801296,44.02640872393433,41.937871316569215,46.1012834270874,46.76949995562185,42.4798438522986,45.45902960235986,49.43464387129839,51.49930863381643,52.24663751667071,50.70148394927289,55.128488226765164,54.70605301836543,50.79341683917881,53.57157446385888,57.09387863869106,53.118595888287786,51.599751116839336,54.342070490779655,54.14240781460948,53.645079091797925,50.410988019010276,48.452597373928675,45.64937422147517,45.29093585880937,41.90796336612677,42.51930124369957,40.36727753239492,42.235763984397856,45.3735441346104,46.623307480981765,48.072661124199904,53.84045553035937,51.72111573729294,55.95117130614397,54.03274701041959,53.682450282821556,52.84303434870886,50.61536497732316,50.59183795439187,48.899483628732284,44.371378409263855,45.72775262717911,46.89183520647963,50.53431467575443,48.96416823054791,54.21629728828735,51.716244872078335,54.95691345463949,52.87628595046132,52.407255752718335,48.22252666502829,49.55347159013194,45.7213156155926,48.83588337902234,47.34984607754861,50.6060243352949,49.34575735609409,49.03566405783177,48.107241613767144,46.57620031533311,46.31839451545187,43.04829595328157,45.03979488622072,41.94028427003128,39.536970616286716,41.43489791887009,37.91441141604693,36.43837269518495,35.26148101860088,32.484406603113065,33.38739559534836,30.17105944985452,32.4712955234611,29.139067032189008,33.49285417293675,35.7915867750729,32.971741206783,32.563513006075674,27.918419321120222,28.686934680959922,30.00997568464421,28.859404987602353,32.351024287487895,32.499656546774105,34.47822078850784,37.830893472459195,34.8025565301072,38.87945688569405,36.94996718718656,40.34763099694671,34.4714810389893,32.344084887359365,28.584598944017188,27.01743098953766,24.931694521081077,27.74682499590939,24.673688805453523,28.154239198930753,30.90045039046042,30.87431378401374,34.97484744260431,36.48933181691764,34.21400032369331,36.948193714397746,37.98939633451614,38.2667710486889,41.060495981971805,42.940192383364774,47.501921880107005,49.154613446878066,49.00249151794694,48.115517035819806,44.755509491713866,44.528818490722124,43.31743519976753,41.571767822876424,37.63677770189762,39.24577137652341,33.76385130844683,37.65573759404436,34.953513380946426,29.312958237061203,31.688147991820678,29.5448078736175,28.183208672296477,26.458843935246577,29.452956217666063,30.108145995441618,35.21963717131023,38.562335048519984,41.40525717096646,44.707875374506685,44.54397336852923,49.23266003587325,45.792900811463404,46.84564731129989,42.2898463567462,41.78085782160767,42.764931908459694,42.631102026584905,39.52967624143962,42.53162783235126,42.35482271876086,44.80586147595226,41.15216886242283,39.085803715569824,37.21867830448008,37.01823483383848,35.876148252422766,35.826239519216976,37.0324880052838,37.32068975178451,34.17509197031795,37.457599112041706,36.31997862180548,38.292331281280525,40.9811038860266,42.3728866206098,38.598418684917576,37.54352899021903,41.74870405907657,40.10684530408966,34.65492663640716,38.72357136782563,43.42368836642813,38.414858689382825,37.676385342178406,41.551601786987476,41.41520535440213,37.220978093321676,39.16566348740473,36.78798003884956,42.59360455269972,37.46910379949667,39.58315265102381,43.705323445887956,46.429457308717225,49.68696272771665,50.612468921063595,52.568709456823655,50.73875924485767,53.09289977404792,51.27506436689591,53.07484983646464,51.235884755407604,45.94901770889045,47.88223284708076,48.68909380010836,44.36983632480831,42.753802335030706,44.6023818776082,42.36304131941129,38.904218371616764,38.12280845461049,38.38495633900248,42.31028790878171,45.70848634668437,47.19159618877855,50.30068299522355,54.17226076105364,52.18270786047331,47.665768374546936,50.709486439380925,52.70934938770879,48.10999939217185,46.66639222978225,50.33023243033104,49.47488419860269,45.76238020550911,49.54183180888799,51.330997410815435,47.78693903964109,47.28043903204083,50.59867486815889,48.1334328529314,50.29454505960298,48.81495840806672,50.69930030189847,49.344935392670195,44.12023020908725,45.90007768291187,46.06304423681966,43.174654262412005,40.612732389721884,44.60524194274567,42.53956412341054,37.65411181079444,38.544342596644846,41.58750661577746,38.92998492995575,35.330681022130236,32.27253060509974,32.48181682201971,29.307560205201458,33.64541818685519,30.40219134339733,32.967988012179646,32.30785347994482,28.262635575311993,27.94746201962171,27.37536648074889,27.957813419547154,32.38791473699539,31.4082933129541,34.16173348237311,32.25410818751425,35.13006090091433,39.95901330974899,42.84094390076873,43.899817865383284,38.90109937683273,40.219917788548294,43.80845607115447,40.570659917855465,37.662019861783236,41.8474401259827,44.53184820318109,44.78503550839388,45.889559511921874,47.63620721920236],[38.823212759878615,36.7723866144271,36.0201510487483,31.887520495081436,32.80658015242713,37.04034082798659,37.29674583782894,41.856159976640186,41.47789362357614,40.22253519031946,43.25115846931399,46.91844823052763,43.65791540106046,41.2332492637721,46.040584936480556,46.95466070553634,42.81391046214046,45.234396554951765,43.506727596759795,46.04958304951564,46.71181523206395,48.87530049997592,47.80345680462191,44.53868704596512,43.90160664112189,41.77482884347166,41.89021762005512,40.70222056713347,44.538726924157906,46.92572903006356,50.911469467353236,51.78592534313594,56.0102710082046,57.79836624392199,54.553061574844904,50.918356564195854,50.899483056525206,47.281935591182226,45.19071265808101,49.130061213992064,44.492844267654576,46.3366655167251,49.9983645744057,48.187972740097656,47.9773495352761,45.70942340441863,49.80182164641908,50.66232445360074,46.30279716663211,49.018531119973694,53.10874052931802,55.19204014748519,56.08530464355086,54.644139708505485,59.130050006919845,58.73041172831931,54.90807689562149,57.78749055956763,61.26980516816719,57.21399185610366,55.83171417567864,58.67919707552214,58.54895226375933,58.02303908456497,54.74524836929686,52.841879719035305,50.097076783189515,49.77661985077599,46.400015258253006,47.00321623082286,44.84029467492463,46.66325497091515,49.844449973108965,51.1007180247368,52.56959632127115,58.33181964109368,56.185007547184796,60.41564796491206,58.44981974940701,58.02592403474376,57.136061950604834,54.79158842979941,54.712379085247896,52.889348451519325,48.40648465520748,49.911567271291936,51.184023236162886,54.83570952960308,53.37172771140949,58.64899802657923,56.19005802790057,59.44981010140843,57.35162950217393,56.84227347215041,52.623030464352496,53.92406815023523,50.04534936417192,53.134435776265725,51.548825524409814,54.64579751613608,53.52073685429689,52.98833743144416,52.18900962776859,50.413527455280565,50.021750442810095,46.64324757687145,48.36343427216168,45.10496925345456,42.64497201126074,44.78872897068065,41.30968091510991,40.15213314643742,39.107712464517405,36.49513092840767,37.62519396425732,34.47982245914442,36.879581478661095,33.58261182732717,37.970202746452294,40.274024500912574,37.45036749544076,36.975949876769675,32.30999260331476,32.936637404146964,34.047994233989265,32.77919403470726,35.88353128133121,36.069946746491,37.81637046261083,41.2376714432707,37.833564750044765,41.78457549326313,39.96754349199911,43.635794179293136,37.805474954038125,35.942487646339615,31.841642615833806,30.75528269614056,28.955709149801397,31.875177103135,28.956668317493712,32.36472648612716,35.23658546272457,35.160843323995266,39.22093824400246,40.782870218951764,38.47270855083686,41.14470595079153,42.01967506796954,42.25083578984361,44.83059219448891,46.741206223366305,51.21059594846727,52.77516143075961,52.85458746571163,52.04199165466009,48.7879665079743,48.437296483736034,47.42044276259466,45.45376226703602,41.57151257540769,43.39332333835449,37.8504559455256,41.703793544191875,38.742311890844384,33.06509852050031,35.09441439416304,32.690278427485595,31.20008039876762,29.878870400722345,32.859436322144695,33.85215741551635,38.967816271141174,42.389630113995075,45.359617814782396,48.64839604012529,48.66907166206224,53.26163447592944,49.795453455490154,50.69604543593892,46.054385692727074,45.44975072978619,46.188167340185686,45.915415631905546,42.97457474213381,46.1272574976442,46.15520745482036,48.47449008685775,44.57724616452769,42.403409326346164,40.399455012820866,40.14523837104196,38.81798271286506,38.72297782448035,39.76189100286847,39.75518293764706,36.737965898264854,39.9025389557883,38.623832349432604,40.93641620753625,43.241421104739054,44.92015669872114,41.287327916795185,39.75174052408189,43.883710542828965,42.52079115494999,36.83707210861388,40.595904420090925,45.50316920542984,40.600775319749495,39.50220178962897,43.26711903203656,43.46871631923994,39.10773183404949,40.587439661083025,38.15058785601677,43.806425835765474,38.293908764470316,40.79876474541739,44.84610717747899,47.4082231489271,50.40039932389465,51.42933110386297,53.759266614910324,52.13374523867269,54.63973529663216,53.17231994914048,54.7541703409476,52.6050813049918,47.621020151824816,49.72106196808463,50.12391715674462,45.72682900720249,44.46814956245147,46.33490541578547,43.58092047518314,40.21564275723276,40.021925647276134,40.331349831579814,44.70572826035749,47.940298331499235,49.39569834534464,52.741195509433126,56.54503150086556,54.87547086855765,50.23866428162088,53.048524101956794,55.313692042489876,50.8626688836346,49.094978094692244,52.75612546629292,52.034115874378934,48.15404422594071,51.65916758230047,53.53335698493474,50.04824867515563,49.200696897719496,52.37582988220454,49.83229878001495,52.0648773325566,50.806712001107954,52.43615017023961,50.82080125439285,45.836085549951406,47.6123100803528,47.3692898101652,44.47671984767061,42.16856323702508,45.78102599324793,43.357441669423324,38.77670867387597,39.791562974334454,42.328338567132015,39.402840347424764,36.03051803197884,33.24725475546571,32.73977294064103,29.72925270684707,34.13712392609493,31.449365642865185,34.4632973389152,34.257312166436435,29.915830726158745,29.650191883666793,28.68801537397243,29.678390172948845,34.23933158373735,33.918951240640396,36.823037772007595,35.332048601260496,37.97409657706158,42.96333376978837,45.657708957769465,47.030274183192276,42.01578754438102,42.95696257387654,46.68887942255839,43.804246363164054,40.53149827810367,44.478368755214746,47.351970960153224,47.72358523842228,48.89638434779577,50.70148678616792],[39.744008717110546,37.38012125138087,35.98977840386273,32.194492879412316,32.19280778335551,37.04473979302734,37.08738304852377,41.53306898059081,41.62518547124884,40.226869591967876,43.42405192942673,46.91409864228517,43.25059644078595,41.281777054936605,45.963310944136175,46.511145802059666,42.200203978378774,44.54713253466341,42.73037756363149,44.82302086422308,45.46475376116312,47.21638630979962,46.26526427797492,42.90248448377658,42.141069530717886,40.40599634554354,40.34639435016603,39.47215510458275,43.46781145724529,45.92016598553509,50.36577134325289,50.96595924656334,55.333179767903545,56.960490123921964,53.46138995847679,49.77804406575781,49.52955638683186,45.64988346943859,43.275397506141964,46.69775258769796,42.151673778328046,44.44979166228015,47.861588033284185,45.69282830295984,45.31495763963165,42.73751591056918,46.712297983333876,47.81599700349141,43.334092037149546,45.64342384144977,49.87487626852618,51.97520143754944,53.10604774383082,51.87145926317178,56.44559829548693,56.0886419856932,52.48644608807432,55.605276817596334,58.974887572118085,54.795354761675384,53.808304039663,56.97600990827207,57.09748299151698,56.654978680397214,53.15990055356361,51.340953319543075,49.09943947429438,48.95761029145051,45.96819016160317,46.85708381500163,44.869601096517364,46.98874062566827,49.872795493826324,50.784865906713485,52.0602144683378,57.654335101032615,55.09048702643333,59.321049526462964,57.04482862784982,56.265370512719144,55.29066448039357,52.592493779890454,52.58637409605929,50.420301242986405,45.981411900722534,47.89633468431683,49.339296137566386,53.17699019050509,51.98347482356067,57.49718801313829,55.35469520639754,58.864667356145794,56.95231252818754,56.48331610290068,52.362885685564414,54.00388668676467,50.21458752806521,52.85055827013397,51.2396235790448,54.28928973443615,52.69706801060793,51.920370086566166,50.79703475461807,48.84217363184175,47.857633087273996,44.711429211666164,46.19402174916465,42.743243562746265,40.65430178442231,43.0709282879499,39.95360983804271,38.71187662573636,38.24034964282424,35.41222349765967,36.94739662917809,33.66998066539703,36.01753394747713,32.619011321876194,37.14666658078557,39.679198110828175,37.165810020256075,36.810619267431946,32.089467042864435,32.615323472440906,33.766342789806565,31.766039811774828,34.96864414725278,34.566946132350495,35.971137970460376,38.999437671890696,35.342212423060275,39.00545323115848,36.914760690782934,40.84411034890125,35.054862606284544,33.68908514390708,29.531481445807113,28.7867026745776,27.379357762632427,30.123667735444297,27.294919069503052,30.375556239261392,33.608830446695485,33.497534282644565,37.33493574613043,39.24637745310961,37.06844639653039,39.95560791136439,40.74115935894282,41.454546160615,43.919008661525275,46.32161416164552,50.577321091955675,52.689921269074105,52.70800747300762,51.48935142142715,48.156594908533606,47.42787444004047,46.33685908768387,43.92767272331412,39.71203823919485,41.60639482556365,35.83749617285367,39.41017821045453,35.943968152631925,30.233284730110157,31.85837196894488,29.065777395214212,27.70605412130331,26.89696468805898,29.95640739557722,31.38268514143441,36.35214913587506,39.94888853251528,43.144462419254324,46.57584339146717,47.00418462182793,51.250702289372406,47.52608022620015,48.24742321316165,43.352189196317966,43.046962524160826,43.22438416193152,42.63536680994608,39.83463102124021,42.95139895712261,43.197796561115226,45.27417748655098,41.06376713879728,38.782582685243,36.68809709237925,36.4478773321158,35.09611881758111,35.16512993619486,36.244407984761025,36.26527783916592,33.657122261749066,36.987713949933514,36.11344842670921,38.74789862104367,41.1165493230866,43.14214075384846,39.655438598094676,38.09275759032094,42.36232287533961,41.41443768956339,35.82682538438723,39.51762939855956,44.634794140367205,40.17705490492996,39.12755407523518,42.94646669253596,43.444882261836845,39.344240229087966,40.754598854075354,38.00662791299648,43.57844713188731,37.58782518973949,39.85087021282102,43.96051724700334,46.094752900536285,49.206369680315966,49.8198648022369,52.025070132513754,50.141218847375036,52.42312546352179,50.90109127920809,52.13136966910107,50.10830334507473,45.27550746412917,47.06293978638677,47.19468108729525,42.989832913381996,41.68792013308922,43.178373400030985,40.40282582880652,37.33169211793141,36.868251266123686,37.77261848295546,42.04270652149824,45.26916003485164,47.141396063202244,50.490415239398196,54.5118100085389,52.90164193681088,48.2637271185626,51.37729140757188,53.80068341016937,49.437970049203905,47.78913212402178,51.72843803881512,51.2489705416143,47.422490125816076,50.81799441470483,52.98294745555115,49.82772886537481,48.783521619488745,51.80582635991116,49.03060960002169,50.908976889769555,49.37385219506425,50.739759072766084,49.48052895342627,44.55088699086287,45.81355098125934,45.64304509704185,43.00085517358744,40.30867611251749,43.607388834797746,41.51440162473363,37.02743595684449,37.46799213988367,39.93623198760592,37.38768237526946,34.12672185273546,31.791737776782178,31.187374477434734,28.725872384857226,33.427216985298486,31.01350046512102,33.73859560008303,33.97099718656105,29.76323055188196,28.906344438581854,27.51047590069964,28.065252346892702,32.54041448085069,32.43475836480501,34.91084091650276,33.84993318709549,36.988712423131275,41.75842363902251,44.5659183723209,46.11244930531413,41.26700235252728,42.43604548021789,46.335048468171614,43.52547811245453,40.58986583958442,44.56762821181237,47.600974984749584,48.102112509865655,49.244897513168944,51.048927700061725],[34.25998742081004,31.795280598176067,30.279976840976314,26.457861485882393,26.41176845648181,31.277651618426525,31.407552944377485,35.87346912849188,36.09318942432518,34.92117248495076,38.22604486001415,41.58738548286016,38.10834222231891,36.30412934081938,41.10636210377314,41.63435878340604,37.50546722582615,40.204189835821126,38.909267614682804,40.96629242633643,42.0548177243876,44.01744004321887,43.42320911373467,40.30905871981529,39.08908908825024,37.008325877282694,36.52677969630843,35.24085111362104,39.0263228898186,41.16555813430149,45.78625157254461,46.066901434620505,50.45648697536308,52.36019006966938,48.86741348524736,45.376026894062164,44.87476991317606,41.44568168223862,39.17199143191676,42.92103884886219,38.49367205939939,40.92836286229194,44.543647929952606,42.45823079975352,42.569111721074314,40.204763828872316,44.33197944136788,44.91277139641327,40.25029688459634,43.00146028695624,47.06118191636877,48.879177924608875,49.993531831691925,48.29552595130001,52.89275057311076,52.90112539338938,49.167252775413125,51.987759928174384,55.63286787198988,51.80445510638364,50.687751976169274,53.62925012775839,53.46677122320741,53.44281595811777,50.00447835922295,47.788079159536956,45.630362662262996,45.06276696957993,42.19810516158519,42.72808803538582,40.94644096824706,43.288670394983775,45.95676574788913,47.16696020177258,48.052521545237575,53.82419806757762,51.22958495922518,55.2908927315795,53.02243043475753,52.429035466905916,51.13472910496555,48.57262708174405,48.17502814550124,46.19261255641124,41.86928621448391,43.56268848082125,45.249418303456295,48.760161447672225,47.84249872514815,53.16213252992955,51.08631854735271,54.70514394638226,52.5698224248883,51.85057578183742,47.603574684898774,49.23606326667577,45.34216682652638,47.80214695970006,46.00782941639257,48.851838816802626,47.47970968636163,46.516109273772784,45.66601299169386,43.55038070746436,42.84631160875652,39.467401761881646,40.995485166763885,37.6377275281743,35.30930861019544,37.62485178665276,34.36612640808146,33.282016872711104,32.71451998021055,30.099260328292495,31.846173976073214,28.776571932662627,31.459978818624275,28.425691108664747,33.408396668277675,35.4527498273711,32.88068544067472,32.15861188010364,27.377674447781505,27.5282917942592,28.36686921361672,26.351825700888043,29.29716615905852,29.091905353901065,30.579774076949455,33.87589014337788,30.307833916113722,34.196750738881555,32.399825699944294,36.15080123423892,30.36018536317806,28.702508280930758,24.41381535450075,23.71569998734403,22.393594743924304,25.471226939487494,23.279984935501787,26.9673183817752,29.808276390388336,29.25938418350778,33.22626166050019,34.755433597231956,32.34960102170714,34.93826309306276,35.511830065864395,36.02268917342377,38.348623715758315,40.70350612964961,44.92700477521043,46.98654488959735,47.12031375628074,45.96258100291489,42.73603541048042,41.97350640205081,41.10738123670666,38.65582088581426,34.71998391168262,36.91537681491152,31.309209443718363,35.16203028162798,31.967197358572093,26.3770516999729,28.014275492685247,25.78246525941854,23.912824801784247,22.678368464142046,25.546854070245903,26.80621403535757,31.931048501246973,35.388380921176626,38.50717378326495,41.749481884262615,42.128325041100986,46.49510691144391,43.0316532683473,43.68891804534863,39.032915336339805,38.22713489656923,38.82263573086412,38.57498340267392,35.75243533148402,39.22510785264538,39.608115227443356,41.96317981424677,38.09016561681105,35.83576876799048,33.626816244044875,33.194215492392416,31.589620511879286,31.29794608790742,32.23524226696625,32.191670061141274,29.127901015593892,32.328278941403774,31.193167532988564,33.54500652769604,36.00488996685019,37.77496374155369,34.18380518243117,32.7865703184389,37.05253620700018,35.86637580030814,30.335526158748053,34.20580964700742,39.18312841800542,34.60815503497842,33.72896616668071,37.61028977068953,37.92090384141665,33.90497639680722,35.57757133056262,32.87404430019493,38.55928510603784,32.9277405096206,34.93596784077079,39.09457067958062,41.47279647773269,44.78347448253993,45.442684294163264,47.398856996399644,45.47477512265375,47.76873944553908,46.063650099273616,47.62890269917296,45.7274900517405,40.59562299751857,42.48143334826857,43.05076380066326,38.755471828791926,37.24728961596128,39.0238532389613,36.597947703996844,33.21843765609444,32.609093004199025,33.043150532895446,37.21263732077436,40.50872620575854,42.13869922052591,45.40533403262359,49.3448261539073,47.6082906657543,42.99126849049466,46.05750939354425,48.33891784550132,43.90075020344966,42.303814584004634,46.17890110220796,45.60627277067313,41.82068927611183,45.35438540270879,47.43821067796919,44.22590928179507,43.35125210924444,46.473656249296276,43.77856820541801,45.69897999931245,44.12158119036646,45.72637036664653,44.505626238812944,39.39622175939924,40.84474589323152,40.91570345996948,38.177926630670164,35.44958129049297,39.17657711880893,37.2169903509027,32.42688891918343,33.045379984128395,35.98042806636664,33.480686206439806,29.9471686014222,27.190716364785615,27.29169662327977,24.4937336040998,29.060847608484277,26.128392785465053,28.57185743231597,28.494922367016454,24.44436267614451,23.60450973705831,22.55443797051412,22.966878966293656,27.407254790964757,26.934995437512615,29.550804231939182,28.26374500565308,31.291659784153445,36.103226255428496,38.91140998278369,40.393368198755255,35.51092970446433,36.69959346331304,40.564830640090825,37.73698346603564,34.82057434933836,38.844768216228324,41.8569760006138,42.365004008520685,43.520805379617165,45.3461516034339],[34.502852649836015,32.3979078947659,31.59340732936679,27.803464389926784,28.806641142089184,33.27733667538269,33.89165916649604,38.48190614126247,38.457511788231585,37.64286414633863,40.86393451373585,44.2960351218549,41.28503633700097,39.17896224646307,44.1414549084614,44.96105965619522,41.03268245898003,43.86944854939442,42.70726115435887,45.07066203447363,46.192173628635786,48.4102357154568,47.72789410373747,44.651082885038115,43.53802383732944,41.226089823552414,40.83739563075677,39.308462427492735,42.9412268097394,44.94181763991839,49.285653526232025,49.65249924364581,53.944943011583455,56.05733959138845,52.73889075028023,49.33521356825515,48.90091859518866,45.74656405638679,43.64412126132747,47.66459961209125,43.22542085050652,45.44699569123878,49.19581714353431,47.27762434381475,47.45512624754945,45.197247036995485,49.35433773357484,49.87042083642639,45.24573586279791,48.104305092736176,52.128701189703335,53.91965510924686,54.977212931576744,53.17335541736113,57.740818333954586,57.77173824756515,53.9457193336365,56.63549173063549,60.35028347443933,56.58837697498798,55.28036085951421,58.04359993410739,57.72089844333281,57.65561625998102,54.351477612523574,52.07963288320862,49.59812488787313,48.88288429987849,45.739602865882354,46.003677565288505,44.0991906477683,46.20344888704309,49.11277816834654,50.62623972852174,51.631713341580216,57.54514852351098,55.239859331216515,59.278627988302716,57.20783031108458,56.842451609063225,55.53983049940842,53.16986800826889,52.63164444382402,50.826519339199166,46.54071778949723,48.01468662745201,49.676734949245095,53.009163501211624,52.00457355728258,57.13385287277486,54.86284072562119,58.31823091888087,56.00158849089925,55.18668793634748,50.822842005579076,52.16523119883821,48.15184586807136,50.917570189264865,49.03837434801588,51.748582212507756,50.889626740476686,49.90515704108728,49.456080810358735,47.261274702746505,46.939727900554914,43.28259727675969,44.75034801373232,41.44019743561672,38.761475758129464,41.04724422499664,37.54604698708079,36.83982054306268,35.91163247660604,33.65730650784564,35.26709216511001,32.399213532840264,35.21813976924268,32.330420333547366,37.24754396979723,39.07319401631762,36.24646535210277,35.34281286589681,30.595001702365376,30.684735505853787,31.280739614859854,29.802222115464918,32.2707773809792,32.615323606301736,34.17015485512854,37.83332712007408,34.18535964228412,38.16148012428942,36.7302739703876,40.45748290403317,34.74333482105889,32.91533329537019,28.436871306453504,27.884520271935436,26.491857916815242,29.77413957252015,27.671805682358084,31.55904550656269,34.18035056082295,33.60236211554301,37.69792289616782,38.952802267682536,36.40927122352633,38.731983490560886,39.21332204214073,39.26965364658207,41.473690723254236,43.44284032836087,47.73427185478742,49.27181899640709,49.67285406409814,48.9105841402598,45.862976069318776,45.29243000922925,44.683025185851896,42.40251003795034,38.835778438804184,41.16207050493024,35.739636413935614,39.772015968932045,36.80224959735164,31.27452488816981,32.92548037947262,30.827862889102363,28.76603922631073,27.474275606760227,30.20682893216914,31.37145369681837,36.56214783105784,39.90448882289922,42.92291676187258,46.00283098104788,46.21335033204706,50.7575195394493,47.51484714741537,48.170898397332564,43.69048573656928,42.531232976110466,43.382858662880714,43.288968148187024,40.52053702937072,44.14716103643201,44.543904400906264,46.98129582401874,43.181812297534464,40.93578916293038,38.691405669476694,38.194104755749294,36.45287167925378,35.9777469996585,36.71310063524336,36.37626934322458,33.11339449975388,36.01441328034095,34.41180494019383,36.76425988084598,38.79893639132845,40.514601541953986,36.956554919644205,35.16161626146328,39.21187095299499,37.93158434978216,32.1503065732974,35.77598108458827,40.73650955703334,35.90730417622677,34.67266146804478,38.40336538479825,38.76826843502518,34.40340671081961,35.72768795800186,33.22662834771846,38.84650959088943,33.28171584215115,35.82040580292246,39.85308855142592,42.442496564508986,45.427622350975724,46.51097222611868,48.875961250547206,47.344413496476406,49.94539374226231,48.59532871943089,50.26247029699567,47.99803881587285,43.02511922054991,45.31186026112411,45.76015752161515,41.25871633802403,40.111195786430265,42.21521739089351,39.37852111550379,35.85298822427198,36.00882572942465,35.9605642823728,40.5818564018203,43.71058634715196,44.94742057403033,48.399793799348664,52.0750438145913,50.581112471959656,45.885019845632385,48.47233692832332,50.84618109765717,46.488063510553054,44.51220985589367,48.13915263985436,47.489033670182764,43.52575711426084,46.89652312154225,48.81448844822644,45.398798188808065,44.38678083855935,47.501561644514574,44.93249827408701,47.19675483063066,46.04414039669654,47.64051316734157,45.90681840506174,40.977068310411084,42.845654163662985,42.50569867730876,39.566099666190425,37.396996020697465,41.03980166771231,38.50495958843073,33.92067448645932,35.1382718441557,37.67646118457766,34.63790308504821,31.21955355772895,28.33287527304961,27.892023929490268,24.768746169331106,29.138289529150743,26.460552923895058,29.538612092226867,29.494585335209685,25.082898391498684,24.808944911171064,23.79505531256153,24.969112449082363,29.54981230515632,29.496922297427858,32.5924161273309,31.326449768413287,33.67762631777716,38.782278828526195,41.306446029393754,42.91772313534719,37.91157638309227,38.56195867796088,42.40249026029223,39.84692549997019,36.33658878360913,40.10931830200599,43.16142260524218,43.6778055171913,44.91830356386261,46.80186811817961],[36.788100967936856,34.55026075952987,33.39718743713524,30.157576622909048,30.631072163849094,35.65450102141959,36.329889335908184,40.84422493802634,41.267316992215804,40.513917948576,43.88153019892813,47.134438740539345,43.933770122481384,42.196218120988085,47.09952272893286,47.65959741211125,43.65021513657165,46.479327572868705,45.27833772591293,47.29595147174321,48.40163333012466,50.28054894254788,49.675545239443615,46.49863463662438,45.319292470550934,43.34075719755245,42.80622339993841,41.51049022168573,45.243497509806765,47.23567370719847,51.96532350439745,52.05233499409192,56.458199647920026,58.50726128886271,54.988732907252704,51.58101764600135,50.902258337913665,47.60161961032768,45.25404375031772,48.80061205365282,44.47183046810102,47.12563902283584,50.64894481586103,48.39082607070984,48.40189153414694,45.82463333036061,49.84640416535942,50.62876946291248,45.86936469236852,48.27418408486763,52.45434980694075,54.2410412981176,55.571877352684254,53.96124388934055,58.62499200149026,58.72945075797734,55.122887932739815,58.029573512349224,61.648045311402605,57.771090158288004,56.83095304337334,59.876195370153155,59.76420147264913,59.75977717734538,56.27838907587517,54.08516981272053,51.999502391821686,51.41957424203736,48.554920791467815,49.00603782752416,47.2203185943479,49.50600830399218,52.23343340297651,53.51772409159476,54.38874766218058,60.184559452120276,57.56547385097059,61.59405872383732,59.271792812374315,58.61278995921103,57.198042629330985,54.50536353631417,53.9564717007312,51.825809339924525,47.625578269347585,49.48067958845373,51.34938702522978,54.796957260064126,54.074384807842755,59.374279374831175,57.36237721088958,61.011011650059274,58.80803810927522,57.98683712399835,53.67150989005526,55.236502042364,51.25933627791675,53.67209886499335,51.70556449230854,54.25752475418914,53.16071458982884,51.83444462227933,51.253876174295335,48.750650173759006,47.91095502290998,44.34649016147014,45.426603117775485,41.87280127203968,39.42993759077885,42.09003852544512,38.90716871257833,38.382142464389474,37.97330177249723,35.69290519795308,37.74031599870854,34.83875630270457,37.678021039751336,34.75312092183108,39.785773516991696,41.76320298676573,39.151982566374734,38.29187549063489,33.504533225907906,33.4404766576851,33.93012849351542,31.85357627148013,34.10228730980812,34.03733384330646,35.15609394284992,38.56656058755806,34.472163717685405,38.118914362546924,36.60958862153746,40.703808781883275,35.09541634764337,33.826185903054125,29.086263666350206,29.146379016003166,28.244369077705784,31.454082510707572,29.53983869003594,33.16001259195468,36.084474959442545,35.439080111455276,39.34205041358855,40.85458827312083,38.3830300721821,40.79890567131898,41.09247775955844,41.46239692378768,43.4163958516447,45.76220042421696,49.809415410388155,51.68653258706252,52.2071915606115,51.200820298776435,48.183524369978386,47.24827357307175,46.73232904810226,43.979251154661526,40.23760116016039,42.76996075794124,37.17615967135858,40.977716198415145,37.498081168235046,31.968802941878213,33.06632868493212,30.566479520951543,28.469319953595214,27.83422870060849,30.56689852951925,32.26966077230259,37.32985242803176,40.82728922888819,44.08159766956058,47.23129514783307,47.866496266274936,52.083258679718874,48.660584312245184,49.06859585390895,44.37617589575361,43.333914372877935,43.61482514410525,43.211524924252906,40.68348986224964,44.40945090981082,45.12392834834607,47.30328548559552,43.145508346185316,40.758248258254156,38.34644275006405,37.803266921996894,35.88235011562739,35.45550568550999,36.06205744720474,35.492837437048784,32.62593997733634,35.518123661486364,34.09631795524421,36.937725259606744,38.69990791021441,40.890025488295265,37.576064110673066,35.39698317423816,39.46624687489908,38.731864457863736,32.89641735430167,36.19328531532518,41.44457921122217,37.08518640818317,35.62505324972851,39.282301555519346,40.14002996368022,35.89941522671703,36.79990955384911,34.02188577489218,39.40781567758598,33.186606778526716,35.822200051019806,39.820352952857014,41.92899121604865,44.7900589223627,45.626995285822304,48.182082789114645,46.619399333631115,49.16497093470873,48.05498959595032,49.28925601514031,46.87644894904048,42.27179420899775,44.45589211278086,44.38641766267067,39.97407697341142,39.089294578193,40.93646485679655,37.67722283367604,34.44775025567058,34.900166362776915,35.308481044054204,40.191461344399734,43.16694285919144,44.67618906270929,48.30389347299229,52.07187467303216,50.876810979455165,46.10560385789075,48.7248200673017,51.413387131121524,47.25488003712237,45.129238306213104,48.94886390352363,48.59007399996368,44.562533462933224,47.619885525568826,49.820012406755325,46.72541883125288,45.30548972983238,48.17362456081426,45.37444911211517,47.406494657796664,46.21752988447699,47.40704720901435,45.74950039591092,41.07426750647703,42.534500862795625,41.93017149897516,39.19484101956814,36.94238917107664,40.0252046652419,37.46501534753972,33.22212761767966,34.09386161531539,36.15822940828489,33.19894285175479,30.068480531089055,27.78807075812173,26.672439427375352,24.169401961073227,28.803418226308573,26.841668212423222,30.001240075036467,30.67206263795285,26.209612834304803,25.488401836010325,23.814096028160126,24.956690123033763,29.519333609707463,30.15901997025401,33.01721183245223,32.40700581409881,34.93537116101936,39.95263203010084,42.40349208742048,44.37393594724239,39.51696212388622,40.05694222577547,44.106598073201916,41.88397941574245,38.39741592011183,41.98973211036069,45.282743887566724,45.98165073827866,47.242237002883186,49.15322449896657],[34.95613325276054,32.50614476067786,30.94030110122675,27.859486035584613,27.790310067789914,33.107459941573346,33.67444234477519,38.107183339440496,38.80371214761914,38.04826941813472,41.51326571000758,44.61752555469162,41.29233597373961,39.84956814599029,44.69971628374265,45.06975856360457,41.067483189151226,43.971961613356264,42.933480690812615,44.712947993650744,45.97560531164023,47.73730226432688,47.33283669125945,44.2308158045856,42.818385890386715,40.89761496910459,40.119709689637595,38.822037977168044,42.52424906785674,44.42010222867495,49.40878950313205,49.25094315771684,53.71525782036393,55.77614606222238,52.153619551714165,48.80826582575619,47.93176946556003,44.6934288265167,42.26577773590274,45.683457765786315,41.46644283942249,44.36829182860749,47.83894118693522,45.463096621229596,45.598075325189974,42.98428518720935,46.997572614461525,47.66802701387902,42.80198777013393,45.19838375970601,49.35425356404256,51.02816773085591,52.451340961013926,50.7515403470184,55.44796257907024,55.71462315431309,52.164479264601574,55.05037050235318,58.71495792540119,54.93638995797141,54.12412876618068,57.2120689550486,57.10419030121849,57.30144320880098,53.757557133301226,51.45633343413064,49.646028871149156,48.98937178702048,46.37062619121147,46.821529772590786,45.20625874293582,47.70291383936472,50.19303647954082,51.4182636562506,52.04732331639632,57.80595113398594,54.99074603215591,58.94004573750577,56.48552075106734,55.73718396337174,54.167258419885435,51.3754510850441,50.71510208025877,48.50591746181957,44.38545866288841,46.33559416074829,48.367378534502784,51.763196029145,51.27181054794826,56.58853568758293,54.75722024244641,58.55008717013065,56.36286630485947,55.4753941582848,51.181945571728846,52.904209303370635,48.95434696721219,51.073424574685575,49.043873919752386,51.50264574671224,50.247047470188356,48.753327246499396,48.105877689586904,45.47887825086239,44.46326489987242,40.94107839907069,41.93720920957701,38.33758148546463,35.99887247987555,38.73856131103809,35.693349509318914,35.169280701410926,35.01433015040993,32.71503837760222,35.024522583358475,32.163007694707034,35.07514264639266,32.27290853698827,37.4946289733267,39.37745752928766,36.91614393714295,35.9871887006199,31.203019053136195,30.951267054819585,31.343806827059097,28.908541792219683,31.10219034054384,30.801827599521445,31.777394790328476,35.077736646788296,30.913015259126084,34.50694653077063,32.97282808189361,37.10825430356516,31.531609996302794,30.398648102327098,25.602149555986216,25.869835793820986,25.22598168937212,28.44307543445091,26.864931261039427,30.52266555744026,33.42668756415642,32.59536337449426,36.40654223996185,37.92461186957044,35.44832951596825,37.83849379536159,38.010767118258116,38.54753390374674,40.39584074936262,42.9623808899188,46.88478824862368,49.023225841712105,49.527849674732146,48.33633670037826,45.32052596283909,44.19642796966855,43.7161601566107,40.75065516508565,36.964761884076836,39.63057634710852,34.02905842550003,37.780351714893875,34.19160828573207,28.741060103615283,29.629129336450386,27.19648946189255,24.94537329878233,24.4042149820096,27.069179650869675,28.913907693047566,33.93035367979262,37.438036045946134,40.753665922273875,43.887707930487835,44.691493898582166,48.776038440377924,45.34216749794928,45.644847964504905,40.943318035532045,39.85641824307552,40.03854165546437,39.626811843127186,37.15792068553464,40.995056877672525,41.85953502383616,44.03364992649551,39.892155244766684,37.482299829002706,34.991317435639274,34.37346240922369,32.34259174375855,31.843628765545418,32.415015078557154,31.84704007168597,28.987423697583186,31.92568305598573,30.620151406644492,33.49562253397455,35.370169342424205,37.615343438860144,34.32175699556577,32.24148697969736,36.39991355988072,35.76075531722682,30.02620525224336,33.39794729538362,38.684035645092585,34.50493825157694,33.18827754855885,36.91527988222515,37.80800424416063,33.77019113097652,34.80593279433373,31.8867410101802,37.29655550345584,31.016909908536253,33.35454692076031,37.426150789306064,39.431290504905725,42.492115558053065,43.10554915038966,45.433897694134664,43.6808710480306,46.09451746563689,44.826421356382326,46.045320782342586,43.78975178321882,39.083609340584026,41.124016195846714,41.14772630025576,36.7944520922002,35.74749804941654,37.51735801966148,34.44707166241076,31.216598756943966,31.39396552795383,31.924048956011106,36.67699791704278,39.701807391802184,41.34061723132882,44.913439725709,48.776374510182684,47.518609990505375,42.766285182234114,45.55937349552595,48.24041171105211,44.078763635032125,42.076744391212635,46.01960307321352,45.7330070837873,41.77351574743375,44.86649177718125,47.17507588984859,44.223032663601174,42.817585825481984,45.66744142437688,42.78777734879284,44.63892975196102,43.25092237699996,44.43545436137912,43.02135229128988,38.25846336216316,39.51898999354477,39.11202002080412,36.467574379652845,33.944287036211115,37.09872999638233,34.824320760575205,30.440800173558905,31.050232677636604,33.361966141508844,30.66489120572796,27.425904788530243,25.17107788539006,24.411336958139973,22.04922068708127,26.80158710207047,24.688368961853666,27.50541648024494,28.24115756574224,23.96071566964815,22.896084404283627,21.146594459125794,21.932592194721348,26.43535780947368,26.98961899270992,29.657277044357755,29.165728439880354,31.93004110747143,36.822584671193816,39.35076537224361,41.352121692812354,36.57982210191154,37.2874615147941,41.388114548200704,39.162706567037674,35.91225468764288,39.55725866815078,42.89167770857441,43.64151233439953,44.880305537310925,46.78728164324425],[30.684525066617415,28.4403601158126,27.375533734774827,24.27730994759936,25.094097735180313,30.03206576450737,31.064802467070084,35.595716882194644,36.16450377594374,35.873918554356784,39.32401831761671,42.37748157865192,39.59608322263253,38.027689049817376,43.06303171442964,43.66249165969495,39.98788667055113,43.23818307220845,42.692619645353204,44.70415557883955,46.30361940739347,48.4398897068228,48.2104112690918,45.341665255368554,43.71077245001683,41.34397453668333,40.36252745358118,38.5644354811794,41.952914015576155,43.49766672996557,48.33211856325075,48.03358489746679,52.406240373646924,54.82935454656067,51.38469825324443,48.265235198452565,47.29049909001441,44.63236855723692,42.461874920163226,46.372126764117205,42.24278437972626,44.988396304190516,48.71492845120997,46.59553095018515,47.14739828760973,44.83695020475814,48.97708484081466,49.18476349882375,44.282040559245644,47.138047169958845,51.09015627299223,52.5385608468581,53.845741154131574,51.71527185749444,56.36468966580468,56.890299206858835,53.15672997644761,55.684321269613285,59.59603055061893,56.14892315989662,55.04679945382355,57.78537134199573,57.326322907596165,57.7813908797615,54.41766541327119,51.793886655672374,49.759559788959976,48.674488683859664,45.92458411601664,45.89358852664623,44.339314583190244,46.790723724000856,49.30055190932992,50.9826310141191,51.428868118087586,57.40721522632397,54.83716442147053,58.63174764778817,56.37497604352715,55.97704597291557,54.19532307359805,51.71175307178171,50.666657227188495,48.79325145717963,44.79681316494356,46.343087026903156,48.488251446530036,51.47599158860832,51.08207692459746,56.06631147379837,54.11236446447167,57.822854591569175,55.33296711256325,54.19322724317563,49.732210715801365,51.19909012126804,47.09629172148174,49.33664260650971,47.12007877429453,49.323668186646046,48.66463463723826,47.05967496385236,46.95304267916536,44.197323213967266,43.7810487527511,39.86645718725092,40.90557949484003,37.481522572364554,34.643818402983854,37.20577899860467,33.821754053189125,33.71390649749463,33.13274657296861,31.318474669731575,33.61918072337079,31.112881323165414,34.34875877076702,31.96721332409262,37.39530447050131,38.72486770890805,36.03264515796678,34.69546847910032,29.954193994578826,29.37403181384582,29.32264025818482,27.385098813609133,28.968705258521826,29.33513668910324,30.482950182208604,34.30744805294462,30.265857004012997,34.13351625589783,33.15597454962827,37.01909900728765,31.544690448976244,29.964879457904168,25.021690302057387,25.35033503145046,24.6654628857588,28.251699758837887,27.213398358843616,31.4274713003426,33.80735608150736,32.65902283691156,36.64607335191755,37.62271950333101,34.885403635806306,36.807096155767866,36.76447813958073,36.74252964020606,38.39956902683951,40.57043433366204,44.53253032548507,46.17856969370672,46.96920514730075,46.16276894889254,43.37869532895222,42.42536171250228,42.31187615440585,39.52670225226779,36.302306194104425,39.24448304723185,33.98782035082575,38.081033019835196,34.99300443529687,29.755415832313528,30.763827766581468,28.968186517533944,26.26544260227579,25.232896124877758,27.59066812551402,29.101086771131676,34.239038965341344,37.488086483555705,40.59946105803738,43.43188782129384,43.99832795502802,48.3353715919458,45.31448855535823,45.60933218690777,41.29230401727978,39.54498744518568,40.34516498721989,40.37137018721607,37.90345579297335,42.05785085247823,42.95827986874972,45.42505364779747,41.68633773796651,39.35564388563175,36.82611349175701,36.04665668813346,33.8023569596308,32.89479581205427,33.22148583665078,32.43147049278414,29.00868523679952,31.559329213832466,29.62743235826544,32.160789483246184,33.79268370996928,35.69431434881975,32.31566128503986,30.10389063881476,34.06731084767277,33.07043357616803,27.178976840607138,30.545218794472454,35.66486671100255,31.110559289078292,29.66461136016385,33.343338416761796,34.068202071447196,29.790451051346444,30.81307060107065,28.112627323699165,33.6251467460125,27.775860618168334,30.329657459893475,34.35655875046232,36.823512541639595,39.81585678489841,40.85097259314361,43.26703582848973,41.80327185652417,44.47946745350016,43.30611903542967,44.953608839062184,42.5421015479438,37.66621489057589,40.123877266375175,40.50637670482899,35.9188004384409,34.95241015470665,37.26053240479717,34.255461170665164,30.6173765745936,31.248122029042452,30.889187335952297,35.85019901126417,38.8053077236556,39.871706795716506,43.48473996637297,47.045053934071,45.83137254945317,41.05797293781783,43.41600733370811,46.00273633091369,41.820336832870034,39.57866332266417,43.23941373296559,42.774473416642685,38.7125336159983,41.832834367636416,43.9059893568609,40.70022591138402,39.37270652361729,42.33910006738417,39.65449681387927,41.85522382422447,40.780294650667514,42.22106946099834,40.412084986494534,35.60133101225375,37.429885131548325,36.93430328555945,34.007495976673866,31.936945910799,35.478616421549496,32.84953035905323,28.320783441231953,29.658900501250073,32.11588289274109,29.003439766401822,25.57715660730793,22.718598636300268,22.25135304193459,19.164608444782885,23.602991603555765,21.11538797432079,24.239747903677156,24.653239406323237,20.176487174790804,19.671709274113365,18.356165622065994,19.720797252085895,24.304798361283193,24.803752988470386,28.026145965770862,27.274353056136498,29.332613295184203,34.50255169669485,36.801793386150266,38.80627985593293,33.89636891003219,34.18747998154545,38.217121247229535,36.16738513442289,32.449854504012734,35.94486212761915,39.27495186715709,40.024354578257714,41.34189684009116,43.308797450782514],[35.12692853560855,33.13917666418127,32.414311268466975,29.659519517401566,30.784507103538175,35.69071704806183,36.9343571252582,41.464469395691225,42.02829312156226,41.821881607351244,45.23682351108807,48.31913675771736,45.59930050915072,43.94116735545344,48.988064754998646,49.63970824347567,45.922152551428496,49.07977114426909,48.32210511231262,50.37561088762206,51.7824653184842,53.81950761027129,53.41041883027443,50.37873953338751,48.97352364062501,46.77404286684909,45.97444978465062,44.344555312152345,47.8318528371677,49.46920256381366,54.26091405697341,54.04056754360654,58.412023919558195,60.79360423515242,57.338528690081915,54.15772479928124,53.22961281083991,50.4140242981953,48.160210318979736,51.86789474343517,47.69551619515109,50.47622539016573,54.10311433493111,51.865905914353554,52.15490055027722,49.64206345560843,53.69453691068738,54.229969807273555,49.33783805887154,51.85578582566972,55.960622373840515,57.52775007234035,58.94644782546067,57.053562835536404,61.74159444485074,62.149044674048085,58.5126328195842,61.21870964095995,65.01350895778687,61.37317969257245,60.39162873247159,63.281498662684754,62.961527764442565,63.23029498199673,59.814400117850944,57.3671532676497,55.28533942719383,54.3781313002398,51.5256692793812,51.6119369827223,49.93370165142233,52.24508919092636,54.922301951265084,56.532342337377465,57.170708394604716,63.11702191753715,60.56449673333169,64.43736141055516,62.1608265675019,61.662916849367086,59.96743845508519,57.36388038967133,56.419752436159726,54.3966274611751,50.38532106829991,52.104153349558466,54.22157750998382,57.33731240777639,56.89072750717424,61.96277302718705,59.9814895704535,63.652862317642246,61.2118697620038,60.133146590561864,55.67900587859656,57.095629522758955,52.98642075436532,55.32654394555341,53.11286303289857,55.27287007370176,54.67742014339401,52.995458092224084,52.9099334574734,50.04856121282997,49.455683118484714,45.55531245084821,46.35311571044138,42.80045923633557,40.02502433931366,42.787517048534646,39.514061625596916,39.588820401066044,39.10191442776721,37.325660956147,39.62546883991643,37.06416125060272,40.21605130119995,37.66375439660989,42.940682480950414,44.48579636979902,41.76300130421854,40.53909213858369,35.78582522616858,35.33212242609104,35.31632099097587,33.396399579462795,34.833797544746865,35.17672459454992,36.12420573750965,39.8634779234386,35.54594208013671,39.17062638295832,38.19495455449925,42.3060865647643,36.91275381570194,35.63994546879937,30.578450099881913,31.159892886686553,30.55053604383751,34.04913579445531,32.73660487415813,36.70435531157,39.338182087544496,38.363577131521446,42.31267281245413,43.46855417045142,40.793233635598796,42.798036081745316,42.74550868523462,42.7387177627595,44.29707209376236,46.4515921145768,50.342491504215104,51.87399741427069,52.81476015976868,52.08613677681805,49.36195886523479,48.36446299428686,48.312463581629366,45.42669754930071,42.15767551610095,45.106908217264426,39.74588106810993,43.71744890555261,40.36187676751114,35.032296298344406,35.835491904379886,33.63233852450627,31.06850684767793,30.478518056405576,32.91249139840351,34.69247315407809,39.765421850499564,43.11502686780139,46.33151472011276,49.216323816620246,49.91198058395581,54.14662392962668,51.02240748621995,51.235363313177146,46.78064524566911,45.15207985639314,45.613887600423624,45.4070751875309,43.0813240651506,47.203666318864855,48.19409870262652,50.46807903923204,46.42210029043194,44.00299460718312,41.41990135936755,40.67504121089158,38.391841425890455,37.59357001081915,37.829564425747684,36.80715052749218,33.72242098598813,36.16283597443993,34.220233614859296,37.12150016277247,38.3051829703098,40.53469469679022,37.39080284177932,34.69766879901899,38.48333885646757,37.85888326734862,31.863848868101055,34.739478309085854,39.99831404473812,35.67409195163349,33.81767114877868,37.250801144260834,38.37336035354839,33.97340936389973,34.35900072767245,31.67438784429856,36.825196915338154,30.552732558276603,33.62250471436676,37.4404092776868,39.603989676612656,42.14122898476717,43.30329443315438,46.227658506691675,45.053171167788435,47.87679703789644,47.179059136469604,48.46887603553903,45.68561053475907,41.3260844841784,43.91320226356285,43.700610182697766,39.11688076664202,38.648783672373845,40.8562550384811,37.20052566533037,33.835468628446684,35.169235014787034,35.01638187725168,40.383391012436135,43.09904484627583,44.183391296573575,48.019861062427026,51.481947878934626,50.65243850972049,45.812557813115816,47.89508093421175,50.763207689411736,46.80550955776136,44.245400677449254,47.85147495278009,47.54661840340077,43.359708725774716,46.09670910645245,48.238209199742705,45.14081857694342,43.424023453165,46.15704299533692,43.41652014992949,45.66875552841784,44.88905917402866,45.95700037005374,43.84355443091385,39.456184316898586,41.20917672269252,40.166151699639364,37.3122970053252,35.619986899301814,38.50669158023918,35.42776876311203,31.489828844426142,32.906967921238156,34.528768270166644,31.101932781800656,28.155655466277576,25.885484958748975,24.22747827707587,21.597200093757984,25.975115092505057,24.49799875722147,28.145075741240944,29.130376300245253,24.471788769791956,24.08079064357103,22.284872666434104,24.107534589532047,28.64450233049213,29.913209738871302,33.143921506291434,32.833671850403974,34.663546256668695,39.869429318516794,41.94803765052156,44.22319585257759,39.37659337281216,39.29475386186481,43.386572167292215,41.686266674036524,37.67371610030345,40.859705616973095,44.30771686772701,45.14122419762065,46.49731426202898,48.479825546601106],[35.88492708519468,33.60406996299247,32.21905792102709,30.02867556096383,30.233000371423994,35.75304623684422,36.895521376687206,41.25861766474916,42.369435347609766,42.15801114725169,45.734467580498766,48.56283816228,45.573017677398695,44.425518199639754,49.347173409779636,49.64159407283889,45.866701692003225,49.03262727519168,48.34184601496244,49.93701481587863,51.42552091885324,53.09223069478778,52.88925851762776,49.84957662806558,48.23677285489302,46.361067285693245,45.287447178906056,43.86577374831088,47.39573924037973,48.9653058043196,54.226472458060506,53.6216814678781,58.109673540693564,60.41586473503241,56.732974149637776,53.59869255464092,52.34654231303492,49.45488054972101,46.961349539578784,50.15782325830962,46.189392038081316,49.46796855007594,52.84853221282331,50.26935524731678,50.51132341317632,47.73945080252893,51.641304768965064,52.30365164729568,47.26815519700387,49.388585745931834,53.56646726181976,55.03421418786579,56.73412499656781,54.95110033330667,59.70974379241129,60.29106332665564,56.8980958717451,59.75274689210823,63.479695857301024,59.834816181051316,59.25021820987322,62.388524053630725,62.251042587382074,62.7062633515097,59.116177303613746,56.6724984431235,55.118503031691986,54.28229555381864,51.842503871079025,52.09867543223336,50.63886283438885,53.23878416166572,55.59165860514124,56.9504997414001,57.31379691807278,63.1076847248063,60.163650460691095,63.96144143098472,61.38935648347622,60.582356281717296,58.70035486814868,55.77172537981376,54.75626792266335,52.41802554121321,48.56303291216051,50.652422060768195,53.033015061298066,56.19816473236338,56.14111120773776,61.35090145312897,59.720909375036555,63.641137472985285,61.32754513620226,60.21632403128541,55.845028018105616,57.56490765535523,53.53205134764451,55.365185043219164,53.06438431853776,55.048549356482994,54.100227634484035,52.046868556093116,51.770104781877905,48.60163805830378,47.43470422244829,43.69414505229761,44.1057958409242,40.3430016709835,37.893560609733385,41.002332534381495,38.14319799533011,38.33416083027971,38.46915256061148,36.64483051750732,39.43697439212614,36.88118268658854,40.050088585435425,37.560304840621704,43.00189873154072,44.6094390442196,42.1848465335822,40.980476890293296,36.233085835564665,35.565394016842156,35.44102597468833,32.81078222271988,34.06378500893567,33.868147164940346,34.33914611944854,37.71995840774641,33.03394277168673,36.27998280568688,35.22714012845874,39.63081734160778,34.42359971321255,33.738863619104094,28.521612199740296,29.73476193808707,29.6948907279875,33.06859410460651,32.136477940041146,35.85980351624023,38.68310824564948,37.54787456355366,41.23305356710801,42.59739987199383,40.01199437602099,42.07352889205433,41.80240738750191,42.19772584757695,43.48919814061599,46.11859937454629,49.700852573998745,51.73911599198629,52.719373411939024,51.62720243561759,48.92076750227385,47.494028664042915,47.513215001350616,44.113923391983754,40.679070452070306,43.8447027166484,38.3931607355926,42.090904063327926,38.28583723886175,33.101376899049676,33.28670678107909,30.855283985750887,28.194619116404933,28.23399685199105,30.55563215082558,32.84168597534999,37.69296902466542,41.13591031296495,44.55715962505452,47.47118092054993,48.63254829924073,52.46747358728544,49.19850974503968,49.13291539861597,44.53032282826611,42.99775908045233,42.897025881114985,42.422579377258515,40.370105005329236,44.60757409237749,45.95714265490645,47.99354048841588,43.70790806790557,41.18806096729009,38.43995880629226,37.609610792868665,35.1203449738867,34.31218394662451,34.398762030712106,33.176489670463255,30.49741081288422,32.926463622719446,31.268677225855317,34.59866467609041,35.633050798451805,38.30917953032922,35.421078400996024,32.52138734344599,36.3716400625262,36.31042184961496,30.433493731093613,33.06590629501334,38.56378862086753,34.84174825431141,32.96223450412985,36.37352837506749,37.92170929943993,33.860436734359055,34.04213856293376,31.01070277063508,35.93951995319048,29.070512488624153,31.907651573917637,35.74004599270176,37.346092796749865,39.95735456896062,40.66266237822992,43.5302630770806,42.14371777111965,44.77710903837394,44.147513411826914,45.02129048030173,42.260636688566116,38.16710292740656,40.51039955856044,39.90159878552675,35.47551896304451,35.11377954172909,36.99789164779471,33.123585649806,30.065043262282124,31.447591620990316,31.82294708377229,37.2623937359832,39.86285567452136,41.30725016252532,45.22169195953569,48.83912841969631,48.20627905037698,43.35198639204883,45.62173420302481,48.731763227116474,44.956821868281295,42.41486937203035,46.28266867598427,46.288426307793976,42.14407189314127,44.64425466770451,47.116394374335435,44.436316177506576,42.41628381593081,44.91103919321213,41.90790544075582,43.766442987750516,42.76105775840053,43.4594016970585,41.664139708013536,37.44230465269646,38.62292602597049,37.53302740767838,34.973192223886564,32.95525923621864,35.3626052349373,32.54574962887606,28.829606014019138,29.65865959999417,31.032630196917054,27.94204149986451,25.201163155547565,23.586336633065194,21.59381552622329,19.77725948878248,24.48094804325149,23.54868018164583,26.878362765575798,28.520516863665026,24.075409796651574,22.983265218762245,20.55431711113338,21.993105520495206,26.37564622035613,28.161328626346382,30.964881866321193,31.3076692398871,33.48299888142777,38.44164341474354,40.52395713347606,43.08777959043364,38.478126668829304,38.488155687301195,42.75838398377191,41.29953309682333,37.581857963267346,40.67218908450339,44.31188395667433,45.318330213772086,46.65728857622869,48.638922202975266],[30.78122767545691,28.354875558421185,26.76804559445425,24.641485877891363,24.733323203688983,30.303170568379645,31.531931173789385,35.85808109636382,37.115369203269545,37.111884163971794,40.7413033787225,43.410770065422554,40.59703923124189,39.639070799099294,44.58011950466263,44.83589003688745,41.263811429015114,44.66878176369988,44.40952180255912,45.940915289854004,47.7628976075693,49.575610953642666,49.65261076318692,46.84948177142889,44.90421303601037,42.788135693576294,41.39309581669499,39.66587278721745,42.96378956585635,44.25060023725578,49.604983603576784,48.738656236942916,53.20734693566256,55.71071869560059,52.06283075162485,49.115414820882314,47.6687714805313,45.18023021508148,42.80408536808858,46.23932089047562,42.41400270769266,45.74703810408741,49.25320283674013,46.786739590286324,47.42355867393011,44.87671749325441,48.86975201893705,49.08785197090173,43.973930937945426,46.47087637167631,50.45682909933628,51.68992193624319,53.33259234368298,51.17514465327564,55.909679590323755,56.76839284684709,53.27731045607601,55.85998941243948,59.78273725641409,56.44965108199856,55.74383693009102,58.6638872402337,58.29660505484879,59.076400754406706,55.567915180159254,52.83413105446376,51.36288668239737,50.202480454109946,47.9054299152802,47.88252535340038,46.61582812364375,49.36607932208242,51.50418024081498,53.068077084123686,53.11513479555459,58.98736660234812,56.0433475321772,59.67462151814822,57.13341292840519,56.489225767486424,54.37338192817083,51.593114730798135,50.27157229371243,48.11817347452761,44.389332608787306,46.26148853909403,48.81106226760525,51.679533053324036,51.839713948878014,56.84616914091448,55.284496722803304,59.25861499788364,56.79434773103483,55.49683043039327,51.070809382107306,52.78173316174256,48.711858085896274,50.36115357748926,47.9312120289473,49.73270679337393,48.95372934822595,46.759760409367736,46.705666864554935,43.427378210456446,42.517558906325995,38.592257247107085,39.05587121634524,35.393487841594514,32.719742526220365,35.7314109454896,32.75790419370611,33.114952293364794,33.198874832046954,31.61341383932771,34.59003719307837,32.28427816181631,35.6712191457722,33.55704750228536,39.23731062696208,40.422933165845954,38.0174127261824,36.536743740267504,31.86550969356691,30.85827378705648,30.418903926429685,27.764727895488985,28.670634237764617,28.642622492131057,29.14665445133768,32.76028415972637,28.169080966941838,31.63083155730317,30.86671466288508,35.066452744657404,29.900900336369205,28.97384557519274,23.664423335553952,25.023699428432238,25.165673810529725,28.73435625315149,28.430911236968456,32.50925857332747,34.9449012801939,33.467015281610344,37.16894504221645,38.190215374075194,35.4598908741417,37.22265121133534,36.752808305885246,36.97892014280709,38.1178998826729,40.709825963797904,44.23756520481269,46.25270084997724,47.30919926825036,46.2541891647773,43.6523033066531,42.19447182199163,42.406386195926935,38.987933038204645,35.83808912635532,39.2347280081266,34.01410095573707,37.884336489886856,34.37667804680418,29.413828940713792,29.587198735606172,27.713277654467735,24.64105403823958,24.32399816975628,26.386943531245635,28.504684351806763,33.397957805829215,36.66791017304479,39.98083506455028,42.70284690281729,43.80778689413606,47.716805721363805,44.6978636918632,44.590471466175366,40.24047637316191,38.28047067071066,38.57373380655022,38.42454205272004,36.3526167734554,40.84553896576148,42.270958329850636,44.53566736537236,40.61047743410589,38.1554357586688,35.36714212719887,34.382765876443656,31.7214309705306,30.591496409763078,30.552790172242872,29.297257775314776,26.143716218945677,28.444394688742662,26.504352054853893,29.559989297034573,30.724384020034496,33.14613487043622,30.125008492479257,27.379189279521174,31.293371706780317,30.976859154254043,25.091041093155425,27.97550170414219,33.4005164727476,29.523675157737888,27.824693918773523,31.375198434459097,32.727028856924086,28.739916984397414,29.2459668065807,26.188324296450983,31.35855471026386,24.78618451480462,27.32359227077198,31.31045580232191,33.23973447491959,36.176077188789826,36.90617695020706,39.44997819338697,37.94779130240442,40.58381311733096,39.67694129447577,40.945082271913655,38.361692890679294,33.833772881566325,36.268806907871046,36.197847299296,31.642056210173973,30.977736544375258,33.1772034440296,29.748881623319956,26.285312385908597,27.428523192368388,27.29576478186021,32.63949133032522,35.35626604291082,36.57942704568547,40.40427861045158,43.984613755839945,43.16591095612181,38.31877094297332,40.60452361926149,43.556488194686715,39.66353659188492,37.19885744478688,41.046152961540336,40.94843828394204,36.83535026818843,39.535485165154114,41.94506080570369,39.18933694313352,37.36409671546534,40.00996284656988,37.05995864356425,38.961713236313614,37.85027089461547,38.846898603024904,37.132493792273955,32.611070825335105,33.99389272380378,33.229564506140235,30.52541979392212,28.370786634984253,31.365231263286677,28.73462870783977,24.513866138498557,25.5366094722935,27.589107352330313,24.562118918174196,21.355262609638295,19.121914373444564,18.07994270583486,15.715237564112158,20.463963282610955,18.79728317026732,21.853323167748805,23.224317633616078,18.865452928803528,17.685758737342816,15.503376204247413,16.835885682717013,21.30851686698362,22.774021432204655,25.74571724209171,25.917832312772845,27.981683302822663,32.98952399479056,35.09326590333153,37.59281701089323,32.95208552088,33.000050655891535,37.258992336020846,35.773403745667764,32.10341747735796,35.25651431910747,38.88522588286762,39.90343057495086,41.249091151521974,43.25551258153696],[29.552231510107923,27.540257918710328,26.79514407704961,24.65286189774019,25.943988085802886,30.90425623287152,32.604489907434825,37.02733709124219,37.97560780866725,38.337556764389035,41.859738449843405,44.58965376507044,42.290377395894645,41.01666049477239,46.11154356660752,46.67780903321762,43.33807751292557,46.906288119645104,46.837360901887536,48.70670923377618,50.61488241347981,52.75454151608521,52.77857765734464,50.050989300253114,48.15765045561483,45.721977399690516,44.399081330216596,42.36370476429419,45.47979508357,46.60533321167522,51.63891529946344,50.864695372483766,55.21135472737804,57.95628909328041,54.5180615702474,51.68086015763029,50.32401261908948,48.17198519534444,46.023615675187415,49.86309554941583,46.00171164929765,49.04302227200764,52.74993110972562,50.52835348395063,51.31396604621501,48.96588688852755,53.0486382850249,53.08609042465127,48.02842816233416,50.80022399940306,54.695007817448925,55.88241497951092,57.38951590876095,55.03505789777327,59.714685553210074,60.61291837108486,56.96339311516961,59.33929551311462,63.38359394475641,60.17874391938738,59.1951033614072,61.86359177861348,61.26906783008837,62.05537777488189,58.70845946500231,55.855200427835456,54.02303508172795,52.6477873075743,50.07057160647914,49.72806134248253,48.36723908191185,50.91448327672881,53.25334524185781,55.16935283287772,55.2868306796121,61.331043798856115,58.70458749817508,62.29215591258662,59.986124995335985,59.639585810128075,57.50623546408811,55.003105126871276,53.517978399715496,51.64325932131499,47.939051425046706,49.47958191290601,51.972335613323615,54.61043762569353,54.657585828815485,59.42366001244958,57.64191009101674,61.443316815019216,58.76074739640806,57.33897774712412,52.78664164500077,54.18659033381989,49.995014163654744,51.95361497030464,49.439309290728104,51.1019913506858,50.89779441844982,48.74437596329151,49.13920947403276,45.86517073818411,45.50559797433489,41.29533600127923,41.82365778005855,38.34248261080802,35.25991576501626,38.06985309756438,34.78113594191495,35.459586118599745,35.04613254931489,33.83611889367668,36.578276429143315,34.488232865138094,38.01055022746521,36.061784742415114,41.7123078995849,42.62378242404469,39.95235366785977,38.26229735592935,33.63676952217766,32.57078688041919,31.9041846788962,29.90954217222519,30.40165278750193,31.04204553082709,31.760406094311865,35.7808481682097,31.364202720385297,34.992610208037576,34.62643439405225,38.593759120004485,33.51399737658479,32.20859884580349,26.91671658688602,28.112589660608233,27.99955355137035,31.76189868969376,31.476277049209553,35.84780740976427,38.00625163437465,36.495308563921036,40.3763777277829,41.057765517054925,38.17412786306841,39.643911281082765,39.1230168390824,38.82082929986501,39.87805830864922,41.98437083276533,45.601276181891016,47.01036713238946,48.3249382918489,47.71813597103428,45.31224175295042,44.12459653077859,44.58417716390263,41.46665789738829,38.75498381509595,42.212988207350975,37.23131272417554,41.34219091220956,38.22627364735683,33.315352106692146,33.745139585981796,32.15590431687201,28.991698259707313,28.314132495692064,30.266815764176172,32.05523124029447,37.03727936797587,40.12804274214699,43.25167520911431,45.776372568292885,46.5935995629673,50.7555227977647,48.0277254119932,47.99108142192916,43.90746477739145,41.565502210433664,42.322232160523015,42.44830887285062,40.34361608373817,44.92841394148236,46.25721039128988,48.69836198623531,44.984615034452005,42.59367998353251,39.843583169034,38.83158318830163,36.14867704489162,34.851472861353784,34.69416429250548,33.299799337386574,29.841713267828414,31.798271940076187,29.34582376284181,32.11292247500799,32.91547603492164,35.04394126927247,32.0193514517011,29.04910499241079,32.638595470040926,32.02874790923279,25.996802275137597,28.662186067994753,33.8872782733545,29.640786573205798,27.631017702423314,30.993389786636282,32.265336476791354,27.90791893243656,28.117235418626752,25.386527608790537,30.50821255793811,24.30044054791514,27.388800577058355,31.19269468562118,33.52602852851023,36.12925612281813,37.421690508252176,40.307184620013146,39.26735040982475,42.22911590881462,41.61795185877303,43.16622401510049,40.29193542193143,35.8496428444202,38.72297513354371,38.76174605243528,34.03292846824984,33.653817043890335,36.27739919589178,32.700252144737945,29.03039547558235,30.811335828618503,29.95097372060016,35.52873562833149,38.08599426517961,38.752591198734265,42.65121581650259,45.873602468733786,45.210884807375805,40.36367072328931,42.09809123323826,45.00954284952506,41.17414726457017,38.38213535727618,41.861281397703245,41.59600848407058,37.34918921835824,39.94162913048609,42.07246329777119,39.03639570379961,37.183736154237785,39.87496792877625,37.15703582857346,39.495110245664534,38.871311377240545,40.00170620213955,37.7146789688585,33.35252532128791,35.342580679118434,34.24324024427037,31.26821103085911,29.829028552960764,32.91698770241722,29.69281986839387,25.653778950860687,27.511886309820447,29.28207522089562,25.66336545077288,22.551859453672932,19.939126641921035,18.58534547406838,15.554320020617608,19.799139028953526,18.214588207967985,21.950484094225367,23.109516453403657,18.446037249540563,18.129305570916635,16.357197060207646,18.570708975324848,23.00890975569494,24.599131383153704,28.095393450651034,28.026635269380584,29.283468186735284,34.5501592888682,36.34898845644909,38.85705828128889,34.096022421806836,33.601680172810646,37.740607966337016,36.48511009190547,32.22613917277995,35.11527755568507,38.7171745107302,39.715516792044674,41.145737295563876,43.198487986814506],[34.35396583068366,32.40930280788829,31.5985985841918,29.85100563685083,30.86763963392217,36.05705185888315,37.75581394406498,42.115429377602304,43.24144041468162,43.55087863297538,47.10906240116856,49.80668451208379,47.34949106544325,46.1762494783582,51.22576097601817,51.6804284478483,48.21296684262039,51.66302609550277,51.36665365845434,53.09531054808323,54.835616452375426,56.73194741851691,56.66065363272891,53.764587774773936,52.00083211690539,49.8501216099588,48.608376254169286,46.83842368043504,50.1124134615296,51.35813504459386,56.54585648593884,55.737893681211425,60.146269532523405,62.77553326439118,59.21885396285412,56.301999127856995,54.89539736881115,52.492443882073964,50.158110935400494,53.61603030381879,49.76288096439999,53.016125170449975,56.54021038628983,54.07813615333307,54.59187410696147,51.96219529646478,55.91953689082302,56.30920295775413,51.21147730785235,53.53830627862162,57.60276179534669,58.87748492949752,60.579498253681315,58.505317158493455,63.249274426558294,64.07912542646388,60.60527619784508,63.22590413360166,67.12663038201161,63.71803871140592,62.9984996705191,65.92160254412748,65.54348686255281,66.21033985691572,62.73345067804712,60.056495422212244,58.38581444182503,57.23276411037173,54.719219329991745,54.6015542119544,53.198519268150704,55.75085010344579,58.11958002392273,59.82946673662533,60.03721164270012,65.98869041911763,63.20260019916746,66.85930721047065,64.40562509004262,63.82611734979982,61.72876105023236,58.97561023898289,57.60739717841254,55.46171974885654,51.76898933340155,53.62542768748332,56.16454025909857,58.99048286793655,59.10333125303363,64.04602352335152,62.37242465348443,66.24684649666901,63.68806350845693,62.34405398180255,57.84251187741025,59.35172161548517,55.19695871736715,57.0571925844314,54.551312062581964,56.181575782292896,55.79903966736501,53.49455257399694,53.74027524293758,50.31549378182434,49.53086049409658,45.45712456891017,45.67438346897304,42.00408198032779,39.17671520291045,42.272083073004715,39.26617156952774,40.01527885579111,39.936281627476376,38.62061620415998,41.50474268609222,39.28340835209668,42.70423155066071,40.55155340226307,46.139059105713585,47.33466552963555,44.75546630985129,43.226892829554274,38.54780164731959,37.58550832189221,37.02440131080844,34.73211815549698,35.237840107260894,35.5568784947112,35.96387850013972,39.70280088146991,34.95677157296967,38.22398154799885,37.734209215204565,42.01994355177751,37.042631211142044,36.213577399407825,30.82439562652334,32.34012543900692,32.42053541920159,36.04001671060105,35.5468617255009,39.610722107893615,42.108913186129996,40.72866026972304,44.4947838595893,45.470895352693105,42.696516032177094,44.34597394874309,43.801733430667625,43.74561593104922,44.69938475461399,47.02007102363743,50.48448132414459,52.06493448812503,53.44350823313181,52.704753627807825,50.297949410592565,48.91306317978464,49.363234531632024,45.97908334505643,43.06742020013679,46.54614846603561,41.37965655058644,45.27290847270742,41.73332535178663,36.74659983983511,36.83444133691924,34.777535913115614,31.763393776998566,31.659864147621484,33.69915210209035,35.88573445247695,40.74758410316477,43.99145636479323,47.29604672563655,49.92761415212604,51.02789965420059,54.94774361356891,52.02257966519055,51.83850273491332,47.53618412107246,45.43033232543169,45.64828721540494,45.440363425103435,43.529795338442476,48.07484941507749,49.57981486715863,51.7600701608881,47.67731267859143,45.17225424561833,42.334622118470215,41.352208826346306,38.61072837287326,37.45715919753662,37.223524545153424,35.625059956218955,32.66876672630231,34.596365464918456,32.36319239826976,35.599495700429564,36.04694962924182,38.633654145972116,35.90850915966894,32.55590656663122,36.03334966830972,35.98135255741261,30.005496653054955,32.180389590230234,37.57517415998516,33.832084254681874,31.55299527126479,34.67940803011598,36.43113147872656,32.19639689715628,31.838253646235106,29.000177624616985,33.63690895959713,26.868106586615205,30.210987867451294,33.796857992686704,35.54637039330087,37.76691737656651,38.91620137133636,42.18506199627102,41.275619878970936,44.230764154677,44.032295187546154,45.05405445736414,41.91238578006605,38.06420117654833,40.86953780558573,40.20941923080032,35.61250909654603,35.68146463359507,38.00121544693452,33.81585613474369,30.58649137191045,32.878916733488246,32.52318671964999,38.368607104953725,40.69197008433383,41.592970260721046,45.67014932675033,48.90291696616814,48.61483117987481,43.73616441575801,45.38414970953814,48.60779383308071,45.03479091860636,42.05969975912499,45.618326331449715,45.622122033000515,41.338503989779504,43.52096721032572,45.853190474902256,43.11833298557275,40.849379461987525,43.22057069418983,40.34790301984788,42.5018478617445,41.98747624464983,42.62267157727511,40.28364848961554,36.38375043488183,37.98196743708666,36.430801524448015,33.70797111230056,32.4015910074142,34.65979381637922,31.235835174696717,27.87615332999867,29.42917712523479,30.336054469306553,26.673222570106073,24.156287992421372,22.47331987220051,19.915393502629875,17.872022162857984,22.108957534549145,21.72044979118757,25.58362245421933,27.44177981339642,22.861866857809055,22.273874262254957,19.888741671227937,22.110258002501848,26.36405182140118,28.67702953187225,31.89470373860308,32.39227808355723,33.75333239967565,38.881167760593236,40.555836588096916,43.34354951590805,38.75372738844595,38.110652034581356,42.34339168096424,41.3847979538805,37.12769987427906,39.77947021624112,43.512881106152214,44.62436189731723,46.054126669421684,48.097674992865485],[34.01435197625313,31.777114496312926,30.30821333290503,29.076733783273227,29.214659692456607,34.89789657467086,36.48508891083006,40.65124489561631,42.26718378281819,42.58914189974764,46.2686210574673,48.70692269482224,46.05225107204253,45.35708226709967,50.267549689483204,50.40477133040943,46.94615295562717,50.42045320746229,50.263875119124776,51.58352715953567,53.450232605475705,55.05682700006665,55.21726278074406,52.382939365315885,50.385386232051175,48.467774999698065,46.93948737668447,45.29635645685822,48.536907754681906,49.66499617218398,55.24188692806772,54.06378931079195,58.548764794330644,61.133086141468176,57.40269343515226,54.574944247614084,52.86204846243492,50.487792729923406,47.989781389101374,51.04295192944084,47.42028916675303,51.08314185455086,54.40743969997756,51.69452116514418,52.25580481137986,49.47479436586513,53.303952812723985,53.6961836194234,48.48646101267523,50.549530665938875,54.60530267989761,55.73790616884111,57.654164371583086,55.59852702571734,60.375145657080864,61.40967186415919,58.14135854218688,60.81448946704999,64.6813802562795,61.35419064662332,60.94821522474622,64.0232810586046,63.75200757930326,64.64186754417952,61.04780329472849,58.323187106710755,57.12240568909885,55.97136224125866,53.847418437349376,53.82302218169341,52.645411925611306,55.45830320944608,57.50370985035264,59.028904502036696,58.94291924827289,64.75597901749197,61.64615195361977,65.19298910762042,62.50246951547216,61.69508558885311,59.401059980740285,56.41611577361682,54.9298480617504,52.563164819185204,49.0536137581548,51.168950419972724,53.95329342847334,56.74719411836339,57.2340407632303,62.233225905410215,60.87950393245097,64.96255476697937,62.495932496109226,61.098633014329856,56.68079463178008,58.44598869269955,54.37322480394034,55.755101912548824,53.169181653739955,54.617518998347016,53.9460535375123,51.310307435910914,51.42210949846543,47.73201288778803,46.49825708143694,42.555185344197035,42.43820653453062,38.621910973761736,36.063280696321456,39.42787071379873,36.79721374724161,37.669811125748545,38.12960968883859,36.82707571835329,40.136983455377305,37.98715971201713,41.426691096183546,39.41960935585949,45.14019062243846,46.2998520177075,43.99368729578338,42.44645467898717,37.82972576883582,36.64145101384853,35.9453149974913,33.06664115831886,33.34349994507719,33.21358499214588,33.194955681607105,36.623489137487674,31.60733740864961,34.54167082804128,34.06551566504245,38.533184860290184,33.785018149213336,33.439109288661314,27.96388578303912,30.05560770862012,30.663224633839427,34.161846994652365,34.12490895288835,38.010961706973454,40.55654814061358,38.984720852725815,42.4941613787998,43.566998437579585,40.86539828534316,42.491279215565626,41.725675696452754,41.99195163906368,42.683706065416374,45.40444022404283,48.57098193006658,50.60195464151196,52.00307226684721,50.94504168608894,48.57842913626018,46.82257062237034,47.36092207170607,43.54909056053238,40.573579816362006,44.257298579366214,39.11002670767038,42.767794006826826,38.942466165235786,34.19477258612829,33.737932311648436,31.64959904073861,28.486851139829067,28.862641639479385,30.699582008380183,33.2614626630011,37.879009929626086,41.133557642486196,44.565612063013525,47.16384622251151,48.649797711598076,52.21725809054033,49.232944810362895,48.799591962526236,44.453125391931714,42.34994377038379,42.15675994144358,41.7899695727114,40.135722487251535,44.809547318538336,46.63369626681693,48.642458814784916,44.47094626967512,41.92277926529865,38.95985943839781,37.85783238827368,34.91612496170908,33.67660803237125,33.262435449938124,31.46560242221046,28.795978156529554,30.64689024463759,28.619009319001698,32.17761942058541,32.50629116968963,35.44435904627782,32.94578728978121,29.459104816325194,32.995634008356895,33.41800491946653,27.605732741545136,29.594859082264065,35.17037298243438,31.981811673371677,29.762464144916976,32.890493509389835,34.96544969378201,31.110973111572545,30.680847068152065,27.52254582492187,31.990218342915465,24.747219810998374,27.74294069199069,31.378115824991934,32.65577652485617,35.05042531231866,35.740325245737395,38.85486849936024,37.69179220516282,40.45582254624607,40.240842498697056,40.963899728591485,37.89387001186922,34.187478380681384,36.775561592495734,35.868846946915795,31.386587265407112,31.490056143345154,33.58268536951942,29.283841307939483,26.249245816426974,28.56425939587283,28.58525429755665,34.46127049663068,36.69314390256764,37.881041243897265,41.99808012893203,45.36981728237316,45.20777762069175,40.33260307387422,42.170113415749626,45.56670471414227,42.13848041918318,39.22615201262433,43.020108017007736,43.28383346772202,39.074810284331996,41.09136286188447,43.712251756178084,41.356553847521575,38.882780840512076,41.06740189357606,37.964487408059114,39.737272649948665,38.96465992771052,39.32493673324288,37.3347955659373,33.5165925130212,34.59706106507692,33.09513931808449,30.632799044700356,28.961474035936973,30.889244263276037,27.781059653484498,24.516252480988815,25.519083475608703,26.33854714186716,23.032037143148116,20.605442067658586,19.477988955173295,16.79078397212754,15.531795919125775,20.08442257673866,20.065894357584995,23.48130064497671,25.880731535574686,21.609349305254046,20.3262496138855,17.3992049358632,19.194330962355252,23.24503337956172,25.97567877645893,28.791351643857325,29.855988160696615,31.500254477478574,36.36088463161126,38.04306182460842,41.05384385289162,36.70216906508187,36.181050977098515,40.54284214214069,39.7749944998642,35.85528303769142,38.43719406162372,42.301273911526486,43.5578700396256,44.953659016218104,46.9961029552597],[30.319209026889386,27.987383706300452,26.391521118083265,25.287070373268197,25.37382776205831,31.059022832768896,32.739374994062615,36.85657394608082,38.578812855941436,39.072606109442376,42.771052104158954,45.08114518283037,42.58304262880365,42.023949598849164,46.92744013516008,47.04452311858955,43.75388964828112,47.385022733209716,47.53452741772814,48.814570859958465,50.905344297096825,52.61755370931525,52.96455954173776,50.302228317580486,48.09180696082922,46.00836799740704,44.26974565810049,42.414315106966534,45.46988238285036,46.38631546829924,52.000056830336916,50.642476998907405,55.096848727493814,57.82191700635356,54.13299513372054,51.44886641810688,49.60679264107241,47.537063305244864,45.13770930229275,48.36009025403198,44.84827199192563,48.52352517239739,51.92978680549066,49.315290069160945,50.15060722177755,47.545041787630524,51.427717253756754,51.50451129336936,46.26438751168212,48.59322592306865,52.5039184882525,53.47138922420264,55.336431897946085,53.015046445270215,57.757870867069684,58.9812924660414,55.6443589359891,58.11269018450451,62.112060760939386,59.01464170548398,58.51173503121032,61.416571427209746,60.98122128504923,62.08858134263688,58.566395993159404,55.64788102454735,54.493662542902854,53.1177768034455,51.091717300661074,50.865937035857435,49.82246314436518,52.72056370144035,54.61749035846031,56.288075238989535,55.98833261313419,61.84298775438986,58.75396825506287,62.174965445363675,59.521625755266335,58.84054822415306,56.3906165923228,53.52832274607879,51.82657074778487,49.60575368464417,46.19532801723241,48.13914329910788,51.031199273993224,53.60135761816573,54.23431134478558,59.07102705119523,57.76013877226076,61.863267306621786,59.292369141103265,57.765283440232196,53.317442406121216,55.06208651398263,50.973083942356745,52.226013734248,49.551162053537325,50.85585346844329,50.326893570582364,47.59118336754072,47.881844211879724,44.114505862410134,43.086175997171395,39.002231285692694,38.912875249899436,35.177757740952984,32.43662878970272,35.729283884026124,33.01902135738737,34.049282416405504,34.46884419102167,33.37582186920014,36.803828293361406,34.861471139263216,38.43449205413532,36.71191062392883,42.55671486045166,43.410048593244625,41.124593450159885,39.38754668114139,34.864136936549976,33.437140225460695,32.49994427635247,29.632533044085353,29.592513022579286,29.60959234572857,29.594396106553777,33.19893924505528,28.255902900350467,31.338667953240176,31.107284967976817,35.4089372977079,30.721031009598946,30.205190527411062,24.684282841856238,26.914249333852652,27.66773839293568,31.27148421569106,31.68268248690231,35.78115743640764,38.035849770325406,36.235523418243545,39.7355962128211,40.55061606164927,37.75798583259594,39.14737121367923,38.230425239745706,38.3555309515265,38.91550333447691,41.589900241992815,44.703857742504425,46.69746382161371,48.16561228453009,47.14885856307221,44.87438699412127,43.104185647210315,43.79661014602945,39.982567012400324,37.24684157958816,41.09058164115325,36.145246686169386,39.90968992736156,36.32521920672239,31.771094848075748,31.304616280785666,29.634355126655674,26.198199691464126,26.324453036170997,27.94255626884431,30.368602931643792,34.98127346116869,38.08847611511402,41.424584168508176,43.86746621586079,45.30326399014735,48.92021153543767,46.13339313578522,45.672039400480024,41.528811430277244,39.10533590576457,39.211580219236794,39.09156604028018,37.430238163804546,42.275361885637494,44.1431809068023,46.312565250905436,42.41168227057089,39.930802806680255,36.947728375281734,35.74457482706595,32.6930820470851,31.21333505880196,30.69693943003603,28.86313107501578,25.82654688660402,27.546108400210798,25.264587675039415,28.62436856594911,29.005397084869237,31.758470329942334,29.172846877290773,25.749822751685905,29.32465797813578,29.565487305459204,23.723553544263922,25.867468656580648,31.41355933426853,28.10747196259497,25.986058457255737,29.218918370560367,31.172705810800363,27.36248265776767,27.1388571389338,23.942543382207482,28.609771644226406,21.537221030972187,24.3469981000731,28.127253887086844,29.680877106364413,32.361426691506104,33.08762966884674,35.96219481191365,34.716080788254985,37.505060366140626,37.08245702701152,38.12679197896017,35.17845677855425,31.114785227912325,33.80440545278559,33.32528897925155,28.71391261469741,28.593680104738816,30.96013695805118,26.99556948491232,23.612880781851974,25.796505261334904,25.379558406600207,31.22424155934575,33.535083132309296,34.530322871108815,38.596247265160144,41.93305816302881,41.63736060516849,36.757592245804204,38.58527216509073,41.87028166478642,38.35564217059059,35.47381411107914,39.24873669530206,39.43482703936855,35.23246614213993,37.392447904486936,39.967023701494284,37.547225754201826,35.201122048456064,37.50615565253893,34.43732891911368,36.26456726009008,35.426638531346406,36.02134642088078,34.06419496274242,30.001369091934677,31.26714168882968,29.99636263507261,27.391389592177692,25.63415809700351,28.042872245953067,25.03525185406499,21.33715973279633,22.55196381737461,23.9209604113867,20.612580454478078,17.758033886519744,16.092328096877143,14.118116978063947,12.335034945700727,17.015837470089775,16.46502436221941,19.73792589049956,22.00805847648744,17.79199300716541,16.43536484483135,13.607375244175051,15.43612668732343,19.548472015981712,22.14510644808097,25.105499908816615,26.085224508489038,27.58334124341119,32.48295095325584,34.15485890274898,37.14158761930363,32.77164344272774,32.23537561961102,36.590833948182144,35.83551514652325,31.93193636671239,34.52767149691477,38.3994142734025,39.67734495380142,41.10084537079517,43.17063445703381],[27.744959952901837,25.135394555768094,22.988946015448743,22.035447142282173,21.43580486031441,27.360467019853115,28.888154061776362,32.87082098293533,34.84183244171747,35.34158008488462,39.08413598319575,41.21789303233365,38.65678553187851,38.39561730888101,43.18844467642143,43.139956365241126,39.94314195921993,43.642567999687635,44.031039705114,45.106300303321056,47.383855917956325,49.049996375261706,49.61689224526318,47.11700269935147,44.674343539315174,42.57398370564702,40.587627154609685,38.65667056685711,41.57602974886604,42.33540986600141,48.10903617948812,46.52596911036673,50.98822712657114,53.738759038812056,50.01049745553014,47.438637094285184,45.4256004906169,43.5362932746844,41.150208316179466,44.351732374896294,40.99578165886187,44.79944186014238,48.183531435406266,45.56907617652977,46.6237132596564,44.12438222569066,48.00062925566106,47.8291999892949,42.55701792628883,45.03012350405603,48.8097661385146,49.61523197810083,51.48487808011308,48.9778590760698,53.69227405792195,55.08550838945066,51.772183841134044,54.10979346207509,58.17028453154291,55.25636737600109,54.783522526654444,57.62005543586716,57.11782489167769,58.44644207013451,54.938633123092444,51.88363003002804,50.94851529897518,49.44134709783045,47.65487208760837,47.36287858033189,46.509982226270786,49.56885348914977,51.211465417070464,52.86698340801314,52.31533514319336,58.111053640802545,54.91364576088787,58.21221366372883,55.50003003725691,54.81964231007085,52.222118620073886,49.37561404058508,47.52197237869483,45.339002700146004,42.04156422327179,43.94376460335099,46.965312579129424,49.39311139994487,50.22997327469098,54.98699282929387,53.825394108671155,58.01335782530252,55.44241507833227,53.84311675687555,49.43858651911611,51.296490986315966,47.2662877208086,48.23815295329054,45.520321732712254,46.73866954128497,46.090989364027145,43.24398986818558,43.508259476697056,39.672430737566216,38.607940527141096,34.524481521818615,34.44474770132115,30.72108780141679,27.994391904186205,31.292048398230143,28.658514020241746,29.694777389689506,30.315448177571582,29.2810860512184,32.92827797105087,31.133998992722375,34.75532159425782,33.2917833920157,39.226187570621484,39.86676911528448,37.74507504949227,35.916455363645724,31.523291011281138,29.873770749792403,28.783487089805636,25.637782489631615,25.435385719270098,25.27941287188797,25.15731445274342,28.733416014364494,23.812355061881625,26.968516763578013,26.817645927011526,31.019290547323425,26.3885959442811,25.87656875267029,20.3496320460861,22.81887746866869,23.878940303882377,27.455803174496523,28.375979084938372,32.50925334742824,34.54391711921665,32.52218134385495,35.892825755357315,36.57766930414186,33.777450915372164,35.033569875639735,33.978262223888606,34.2040978389256,34.65793152203232,37.504166810138415,40.50940823587498,42.749647185482665,44.1494420706007,42.967472711124316,40.70459448204371,38.79960332188111,39.53354714789151,35.58956685095423,32.920714719060086,36.892786471286946,32.09392094035129,35.83204833551926,32.35246981691828,28.04773128998431,27.436367209721467,26.127170961329774,22.467063209681818,22.49715078713507,23.874621283468958,26.285697687486582,30.80133003680104,33.80816305406893,37.11247206781631,39.46927928484837,40.981725880669764,44.52268600175628,41.81899417363209,41.29666595439078,37.26543238924133,34.68163045687904,34.893811583970766,34.91698793206795,33.27387321740333,38.23469529146687,40.187379458462985,42.42856175062794,38.722819497451894,36.34671978658301,33.36562453373311,32.040348594746455,28.910748136030435,27.250891445028746,26.67351536512212,24.88100935590473,21.59654591930377,23.32480653556341,21.040669829079405,24.28584598090752,24.94592739755714,27.612962774812985,24.930722781774918,21.754846608002698,25.52979164912861,25.693275635184293,19.970598534897853,22.408871368037943,27.954077042251473,24.72241248827881,22.928145728469325,26.34286437366385,28.146649033673594,24.62586154615359,24.826221908309613,21.498451891352303,26.340856643371023,19.48282333782057,21.682705784665128,25.65908370456289,27.33219052975182,30.402586206117427,30.903484859864637,33.29743458489273,31.727101574481832,34.34563296886374,33.52586069770107,34.78700838547828,32.15563294752084,27.66312824322253,30.20973119145801,30.17524571979079,25.55903856067615,25.008210342338252,27.440903927213345,24.00478494083305,20.380708286405547,21.99199945838589,21.458924179875638,27.07636017198035,29.561525095927774,30.63051685330864,34.57232238787139,38.0508115573501,37.510085762041655,32.64376025213434,34.75087582321342,37.90321895765489,34.264791366241354,31.615184228266518,35.538311392289295,35.71148457247996,31.614835252452313,33.99618003957247,36.636220232106865,34.288291719838064,32.140895195714165,34.54958121642991,31.43585546641347,33.08801810081533,31.922472123279412,32.72393101515857,31.12591298850941,26.729033111439122,27.877117343294334,27.08557697210092,24.49563733578168,22.258639597840308,25.16677862811296,22.67365349150818,18.427042767815486,19.38771474483407,21.56998594313943,18.691009284063362,15.36999256016079,13.281931986133605,12.59808568350039,10.65816037403695,15.44029117069207,14.156737276373597,16.71771326680596,18.85225673996666,15.01197600518565,13.1078205562496,10.293152534132558,11.496253479244139,15.632674200221782,17.928217764842437,20.741803622979532,21.740019902882057,23.499214557663155,28.262035438167448,30.07962327544333,32.98505612960221,28.696495602033416,28.445218998873788,32.80821553443573,31.941894556009785,28.397659371444544,31.128997006952005,34.97228877717671,36.293106999347685,37.66864323196745,39.77253515984784],[30.748830900014454,28.191644182164946,25.92328186142244,25.56688427863999,24.67747361908573,30.75608043676077,32.34273925292872,36.13544437196009,38.4146384840964,38.990399204500434,42.76442370464575,44.7235190162682,42.1104313138644,42.10770190952857,46.805023671433084,46.579365949795005,43.38282363330109,47.04214186791394,47.40534230730635,48.2260877092066,50.47559828756345,51.87767638634891,52.50319288283703,49.95704283027038,47.485092584195115,45.650724851248526,43.580133019841924,41.84408882793852,44.780850180407754,45.496504342151184,51.48959557025664,49.68586539744478,54.17774588712971,56.87993258376001,53.038444639708516,50.51528532707619,48.3087232309632,46.37226690751688,43.83457541571267,46.5822331297657,43.40489273775213,47.51349995993071,50.676109265467765,47.820957425925265,48.748736201640156,46.029205885645624,49.72936337968895,49.75322764542482,44.43348089540134,46.466737401506755,50.309378252203366,51.05976766857186,53.169238115246756,50.83158175610995,55.58150891540039,57.08670365757455,53.97920181063478,56.45500566091282,60.42744640262559,57.48122223399283,57.307945536897826,60.325193223690974,59.979361169376936,61.36241501965744,57.7531466182191,54.774073777086514,54.144069410755876,52.73650119518798,51.155021474401,50.98606254667006,50.21452227461869,53.35727686945933,54.87937140295966,56.38062863728601,55.73587548400672,61.409785697272625,58.00580332811126,61.25555587244722,58.369447379907605,57.46780443268916,54.771109182087784,51.681713471237636,49.7938810425703,47.358944718487585,44.226007814118866,46.42433279588303,49.60693418290026,52.06274844659934,53.1518134991012,57.97544503893781,57.0332190877366,61.33374997346939,58.850955462080094,57.24205833097899,52.908216321277834,54.895723357043934,50.92188765944707,51.62192577104558,48.85083240875169,49.879123737550756,49.10069892900927,45.95691254602019,46.16752186502883,42.06725739797455,40.55565848434362,36.613135365887395,36.06142532136412,32.188641672263856,29.758216468131437,33.36321441581735,31.15005956661267,32.42399245890501,33.472455035079996,32.501584223443885,36.3901178445724,34.6237156038542,38.18806499777839,36.71352958509293,42.62628306037495,43.36623764556183,41.403747182010676,39.6292182825023,35.276918349252085,33.58684909284644,32.4510061961545,29.003792428593314,28.55362221621127,28.076665071310554,27.485078916489226,30.69348577376606,25.45010408472037,28.045619481486753,27.96030806619561,32.428664053210845,28.15073305727864,28.249425754792327,22.719529467314096,25.707581143497645,27.126749827667403,30.517285572949046,31.53381150378448,35.3828214235568,37.59469298147276,35.565970128735195,38.71507423346351,39.5675331743964,36.874707699832186,38.14417375890338,36.927824282611134,37.369761563972126,37.54537014276159,40.6207370915801,43.320594706353134,45.75827843751335,47.299311159721874,45.96977832407814,43.813212151026946,41.620248745053196,42.48218761657101,38.19791748359615,35.51142206911932,39.60814051798373,34.81171050434241,38.266384896866285,34.43725918242583,30.30851613147969,29.14473898497961,27.569506960769328,23.9410349479037,24.651582604223492,25.890422596171273,28.720286435701947,32.935164105792985,35.97265192715203,39.40529776226517,41.728654490166264,43.60896742295372,46.77778249097397,44.00864366213522,43.22384502694957,39.12143280897016,36.61642670676445,36.26771262901593,36.00397293408687,34.711523396052804,39.734191487236664,42.00073010241307,43.98470948155367,40.08306210135443,37.532212229279594,34.412953385806574,33.06290812492808,29.72431372151817,28.06724965075291,27.244731553029442,25.08008919820461,22.407796665800852,23.875326983216283,21.773785203343305,25.527328911430896,25.631424554147344,28.81897921374127,26.597005507627774,22.962061544612208,26.506375325341548,27.385596801653346,21.883265383058575,23.6442712020584,29.31235890652294,26.799381805508823,24.75850434569228,27.863448433257968,30.209843787785317,26.955491659114692,26.577594501687443,23.12031478507835,27.373228904670324,19.927986679806835,22.216088342602053,25.940900839770276,26.854513670229963,29.712741757325425,29.886188735457246,32.58127528026889,31.067674051029567,33.645084051099246,33.25522164495993,33.94561424892492,31.04906433888255,27.201279402952185,29.669346002419392,28.881707413567245,24.38852282865295,24.373503390204117,26.526009014575507,22.372620558272544,19.193212638001665,21.58646817000663,21.530687863693174,27.47324811253587,29.597659419092306,30.87006336627589,35.00013111670248,38.441493266863354,38.35946223687947,33.50677443309024,35.46940704608867,38.97174402090061,35.69964545513432,32.85538345931305,36.850295995770715,37.36070751614917,33.2829237605523,35.158614414516805,38.045181996904304,36.11733428846861,33.51742791512408,35.54044441485642,32.238755765585346,33.59765439291366,32.50184349126546,32.729846413278345,31.169090781664682,27.296264137922158,27.918007195555084,26.666799636366456,24.418739373701566,22.27189552555863,24.205571446239848,21.59593734453223,18.104121127092483,18.605184434346178,19.82875267393943,17.006370923788523,14.326831710120537,13.565634517734484,11.506152071594311,11.11520615113763,15.796414878470523,15.865641325073602,18.347455559491813,21.293469486843716,17.73053553214273,15.558372092571972,12.12567743584349,13.261018542612572,16.871762694455533,20.097011573926487,22.490446786706535,24.270875815604004,25.953605696679755,30.43930407052621,32.031234809156516,35.30945076636119,31.302270714095556,30.82532702596057,35.271009508277736,34.842135794023996,31.338611267043003,33.734221612575936,37.70709403340074,39.104202028639804,40.473751968059474,42.455499343937554],[29.488381081829164,26.67705503514693,23.78178062289299,23.728234182917667,21.930110569854698,28.24688617787901,29.605215646717088,33.14912341097505,35.764818352557626,36.3101978477321,40.10658895211102,41.8297910988023,39.09855930429044,39.48906998139899,43.99563213011372,43.530701436571235,40.422072774976826,44.09229883854314,44.659267425810796,45.17427338380489,47.576833309968535,48.82624515745254,49.685331277532704,47.295823553179105,44.59881456242881,42.86033263821346,40.52866385379506,38.8169101806687,41.61689431304953,42.17885987741244,48.38435693382182,46.30648300828072,50.80653350940158,53.48050439038796,49.564336201464556,47.16202051686227,44.73770223301081,42.94038395219168,40.36615934433794,42.9101395752632,39.964003364954316,44.29138768932235,47.336632602794644,44.41065623902552,45.51123890611794,42.83965057000514,46.46007787321684,46.29808520884346,40.948367046810674,42.98690642596896,46.70284967631837,47.27428401263563,49.45751467981668,47.00329909599041,51.73437013849158,53.42301398776444,50.41351249737154,52.80433049207268,56.79300151330868,54.016603346595666,53.972717653093426,56.97948642187308,56.62865440642347,58.237256593993976,54.616823075659774,51.54679948453951,51.24713924087365,49.765436887301796,48.505894098698846,48.3379119766417,47.78362709001544,51.09787499570406,52.31886919317504,53.72341400821653,52.811283649499664,58.3586830560759,54.777374402963105,57.88886724927352,54.88857480281002,53.904912002725034,51.04787402415426,47.89096447358069,45.860500780400216,43.37197434703867,40.41267876569999,42.67693853844454,46.02489602588598,48.361211887111914,49.724421479807724,54.494803114573386,53.778682338757946,58.188823998444114,55.76192608851596,54.104523005726236,49.866516943646246,52.018583625511425,48.15108777356175,48.4785715450801,45.68174410221685,46.59706885271011,45.595330108811424,42.27924642221408,42.3865244286318,38.16510942893601,36.422575245426636,32.57214465097758,31.890324406614067,27.960274417389037,25.711412040467813,29.431488166597802,27.49021202180619,28.78232039534531,30.224401296440075,29.29842100765991,33.45687829133142,31.84633573682956,35.383852718073975,34.164886930904224,40.094160901148804,40.672734880522974,38.95898392353084,37.151596574358024,32.9915018196456,31.104411849546878,29.850443139386535,26.017939593074672,25.37903875405553,24.52585693050498,23.63149686414019,26.601407414993734,21.26374968800045,23.716278634820593,23.690631123203556,28.167113597391857,24.07420083259085,24.44381544273847,18.979861658074245,22.406604000242922,24.281009895955094,27.495141465680316,29.054215654240934,32.76979534685068,34.805545794987935,32.574720704290435,35.473605377623706,36.269108838441724,33.64213019527928,34.79978284734424,33.41348219024047,34.084457524919735,34.087529694605216,37.43849900254265,39.92671503772286,42.72548536932465,44.18261489632014,42.601445856960154,40.46705950760469,38.04419736801381,38.94087200302855,34.41802255813255,31.755387234992014,35.98722469258691,31.356916006135354,34.64347496481551,30.8033501558066,27.038827175455857,25.513587437602265,24.243644368972344,20.418339237189784,21.308373228681532,22.205676409314684,25.16962859712903,29.125576932768467,32.06654134076539,35.50918020298578,37.749360854068364,39.83697780618715,42.788481605014404,40.056833493887545,39.131292186970946,35.10433055855353,32.50591263285106,32.04328247328511,31.81657415536416,30.657388583058328,35.80400668412693,38.25404967641546,40.221386843472075,36.46347316412425,33.9726841160078,30.82828814011452,29.347160050584208,25.847975550360797,24.011527941215476,23.041381401014263,20.800189277517376,18.088835555549537,19.526769382744675,17.57403724251107,21.433853208427408,21.76486625399816,25.05888102441479,22.876037286585724,19.455594316103724,23.202092636927254,24.236199863371734,19.04851459276582,20.955004323826117,26.60757708438422,24.44076913142136,22.781607680822354,25.974638130223994,28.245942123428023,25.450313559059023,25.435362139630385,21.868748927736583,26.092914242636862,18.904035074296118,20.38720551905692,24.224712143568237,25.03373814208633,28.26580716095965,28.04001626821665,30.185729379697815,28.253294361460494,30.563247867747485,29.768542907143793,30.515538637243615,27.976647581608333,23.769559913116215,25.962592331453596,25.480347163841607,21.03777563816204,20.572876953907056,22.652718805058186,18.953269001437047,15.60211239230233,17.395935845144276,17.511666106131806,23.273693635938,25.54407044104754,27.074047666027973,31.098757359793918,34.754076027016396,34.48561694336718,29.652832391185097,31.986796472865887,35.426387284664074,32.10628497318081,29.53933947011038,33.75006926498877,34.344011181103134,30.434900158601735,32.437700394967806,35.465812531184675,33.75172379589236,31.29829002876885,33.32771868068669,29.936231043403236,30.962557743844872,29.448112456987907,29.74818349949856,28.703499439427546,24.58676695480493,24.82256432498134,24.084406087092347,22.013136480152692,19.195786608621674,21.432806645522124,19.56708929711489,15.628676254727452,15.440853537354101,17.496568722072904,15.408724773611784,12.386779352240271,11.64188830519301,11.006072400249764,11.009631643020768,15.470641980541616,15.063284696761684,16.516987286044817,19.447224919284363,16.55121385710994,13.724866213049696,10.255321264473677,10.24958973409724,13.546643466964122,16.676837529800782,18.60021789813262,20.711086283021267,22.76366626881325,26.921278863723913,28.648871189801984,31.910841719745346,28.116614297562492,27.97401616560338,32.41536465636773,31.939687833332354,28.94388952963277,31.410276460431916,35.33540311207732,36.78108087091468,38.08280516904831,40.04813638862643],[32.88392039089025,29.95438590967643,26.932400557991503,26.013785017824393,23.823904700263466,30.257130501492124,31.001447164822004,34.675163483732774,36.99733738074993,36.88503777473166,40.65828897444312,42.69712648396432,39.37367388281602,39.54496869829795,43.987137060273874,43.47383116562388,39.92790010683771,43.22434012013208,43.1817200570428,43.69457061213363,45.69938460242292,46.740721075093006,47.317106646463316,44.665199984559,42.2615508878069,40.82151719892606,38.830062894571434,37.55461839742491,40.76291523448366,41.83537895694981,47.99509571044346,46.35394807781076,50.94227562052649,53.219388131727754,49.19187274835995,46.43646554367969,44.34254426030569,41.819903055918196,39.04207481537146,41.35511722998916,38.116756978087984,42.39697208858819,45.32692992732727,42.26107557349575,42.92779216549063,40.01561327849373,43.63154238855919,43.92131339662998,38.61415383648159,40.38218745389082,44.35631155045289,45.27742145540073,47.44213551180002,45.42093182191855,50.21901333442922,51.48779709127717,48.51648527669549,51.27371126547281,55.041689375981726,51.8496760514535,51.91386860374748,55.212085043620654,55.16260621350921,56.37910408874577,52.621053436003265,49.8872277443584,49.549273227895334,48.502210033914324,47.14969015770703,47.43800516158626,46.68726140008121,49.943338685622145,51.32543521086755,52.36037570162598,51.800062331511434,57.22780938048041,53.55568650107256,56.92897548715685,53.84699186384354,52.62021978243478,50.126819263948036,46.76788494266043,45.27893759406268,42.549956046479565,39.25728197695354,41.81577975256973,44.873853229504704,47.73094152141399,48.71341838380233,53.8595291524079,53.057597439121544,57.45334436908257,55.297124938438316,53.96346333637932,49.83702336684197,52.135698179510925,48.36462768235875,48.90801220763162,46.40315780454006,47.85222419648885,46.27348450328632,43.42504368019616,42.89553909560371,39.115045095507995,36.98614475965878,33.55839154523383,33.258315713674484,29.236348147622397,27.46169077002807,31.088646326035597,29.192187299938336,29.64409624075712,31.127742713134456,29.476867689988445,33.33317100920288,31.20111956060685,34.41752544588835,32.635925814716444,38.36708564421797,39.545160245890976,37.892748975336126,36.517909811893624,32.189771783472246,30.798414442326063,30.192715390270518,26.169477902621555,26.706754325273188,25.35012386311676,24.74428461811949,27.295757389387063,22.100461941632485,24.607555408193267,23.62233804322007,28.336902567834077,23.742135726705847,24.214641659889978,18.949557561099265,21.72504521587105,23.23484652427654,26.195186945672795,26.936604119284148,30.268637475056902,32.82271967849667,31.000297165787924,33.92235770198206,35.2738967275234,32.86144235135912,34.638348895446335,33.72934580623517,34.87005697961403,35.451921252450326,38.996241216068384,41.77919164420327,44.887859345509185,45.867068061757294,44.01851168439851,41.48380511645924,39.177876964729904,39.4619495520389,35.084835253649274,31.66560039636888,35.398220543775395,30.259875682033133,33.378230042718876,29.107480834720654,24.836316579198733,23.53521468085988,21.497694903150183,18.151380691880128,19.30346728752527,20.814021259271122,23.956794466184107,28.0694850191297,31.384385261322286,35.01558632527483,37.7110229240609,39.762584990065164,42.736840120687255,39.50066827399472,38.81536212295891,34.289234298884494,32.55649854793494,31.676211780557402,31.021201572994055,29.569326737496,34.27812821344921,36.45790356887025,38.25128925167552,34.06659830622655,31.483570797845058,28.400876413552364,27.181558680720617,24.02877404745898,22.778513638833143,22.375750457926703,20.75363289896934,18.52212979980899,20.879055968719577,19.869693081549684,23.73106660889575,24.87241789543743,28.12051334201281,25.692361263279075,22.972449303279337,27.015839749493516,27.831268703183213,22.76301511115806,25.198122259690198,30.756927105388122,28.356413693246726,27.041759306307437,30.439136956543344,32.34804691958692,29.465702049520242,29.912638215602573,26.400557571158775,30.891353324733696,23.869186483128747,25.2213654499992,29.117403244285107,29.872529704025073,33.183631723706306,32.73501927296394,34.66534546289658,32.433669883158615,34.41465756335794,33.273806890847,33.7738736138468,31.618434626783156,27.388598620177525,29.00094816543648,28.425933834738935,24.349690080657375,23.473848694006982,24.830722752050132,21.459745369882384,18.635983066735175,19.096061635208116,20.397806462382363,25.45473059851033,28.058855386991894,30.22790284926243,33.993999702330996,38.01069157071633,37.35526634031987,32.61447006705638,35.55809506514828,38.79726213218542,35.257256132480755,33.175053227785085,37.55718033618231,38.04874653530828,34.292320601596465,36.62863352123552,39.63509003267349,37.81910077498621,35.69443085347767,37.86728416210875,34.49783594985392,35.38320857562144,33.541091673454794,33.91325397826927,33.26665848580104,28.993014730554822,28.943897480844107,28.56621059121812,26.664304172595244,23.423510365578665,25.627410355988804,24.23141322149417,20.30897944708503,19.48740897549638,21.632500937806963,20.0521599864999,17.207832318156438,16.519149288588096,15.914003675943368,15.72233735009856,20.378600189343516,19.505023628652506,20.931996784349412,23.262990554017122,20.193668974106608,17.459061898491008,14.431537703095152,13.887488519430578,17.349556663865666,19.434310672225322,20.93269098277161,22.516552881921854,25.505000234557752,29.550797633631582,31.747207941894757,34.59993732319701,30.698385067462468,31.246099715070113,35.62459905425509,34.48513315523411,31.90271565772785,34.86426312512527,38.601746886056446,39.85103900524505,41.04656917697281,42.931814926499264],[28.81214819821188,25.713407939873488,22.352756331253502,21.320512362249055,18.641366459972705,25.121968450827552,25.728150659938127,29.347208630382696,31.739428358350988,31.683283348667604,35.46760166094668,37.40269442450943,34.16303394939204,34.47828825226657,38.89241087070597,38.358398934712966,34.97429755164401,38.44588096152763,38.767684354501995,39.275822611941045,41.56339975109712,42.805969125319244,43.60053661228809,41.19275058321069,38.523502670660065,36.80501601032478,34.56146627129524,32.98085906720528,35.971757702516456,36.82687476824465,43.00253640812921,41.222359283115445,45.78882077231401,48.210659281041096,44.24185993460922,41.61812801707116,39.42989247170831,37.24934533026894,34.626202201111,37.313647049578115,34.14398449649756,38.34333487623736,41.451618018180405,38.598326794158304,39.66735513446722,37.08275427001895,40.83293526458221,40.63079535820903,35.30952144203392,37.61958819199569,41.36329718637093,42.10452682655475,44.08904980968389,41.666082602047716,46.420043137376716,47.87420259592858,44.725382431301675,47.18811359723737,51.158209077182725,48.253598026184356,48.084075003359665,51.114608693079845,50.82067349259836,52.27610754266425,48.63685509302982,45.64477268451959,45.28313291769851,43.94827041767985,42.68323965900163,42.72922661108032,42.13493383932628,45.48160000034929,46.68941300834617,47.90417361573833,47.110272895115195,52.60899834639687,49.00637482438844,52.25737873874232,49.26245684453459,48.24871584361982,45.60739818864289,42.46704236244081,40.74578615730037,38.27452540335932,35.01196828755393,37.26940486212072,40.407822561427814,43.01167984715934,44.08189112481098,49.04204539760946,48.22940538751158,52.62688799638516,50.34546614590899,48.88596394558579,44.722211350151845,47.00063955798871,43.22232857890295,43.66421747551379,41.10256684016858,42.50842569102169,41.016605983268335,38.18288413693692,37.782691538475056,34.027555788273105,32.24509950502255,28.61662718815385,28.59583820610922,24.695287745478833,22.642379718995198,26.082978135141513,23.973646991924088,24.3809119198759,25.788083079671814,24.25687460583682,28.234765237286815,26.32155885089716,29.688237457787814,28.275183280651405,34.14684046802249,34.93059726111396,33.31286328139621,31.73039068656892,27.547372310952152,25.88478569944784,25.06138314982547,20.967226660187862,21.36175876639278,20.04665510870909,19.589051474640637,22.45059623367937,17.43277559980225,20.471468474320194,19.672181063082125,24.089519838468114,19.30669645444928,19.321036013463544,13.899618950902362,16.788190071926234,18.501776300840106,21.608388749112727,22.9985288993703,26.652679701446086,28.748261996124743,26.614453052234204,29.57252919119693,30.56599225904051,28.017849564956077,29.54651106669219,28.525469888467015,29.549182087623286,30.128336353012564,33.653024911482134,36.495548242412916,39.62927131826584,40.53403604010795,38.68430751844597,36.15312970852395,33.89135075923825,34.23328909885984,29.929159755962736,26.693064663258028,30.586178750058572,25.654249138963124,29.013239035883036,25.168785303245304,21.104207433101987,20.002669155427597,18.766270732974807,14.961936505618642,15.40670476220603,16.63042097379546,19.46976870741056,23.72696730467252,26.877418338479785,30.375313544863403,32.939360761841506,34.81597786671802,37.99679989678436,34.97683563958015,34.372859168092646,30.081644449155498,27.942749817108794,27.67548250306444,27.472356545044086,25.81239552671025,30.73221267542102,32.825607071765965,34.953558115827235,31.242898058328116,28.82024972265589,25.790481040572587,24.47538700462059,21.27126700776268,19.669078318614904,19.288622044312834,17.897938746078317,14.762921379769345,17.245157568132782,15.980035069422,19.3418915295919,21.081638655425515,23.852344310147554,21.05239482953346,18.88811022832123,23.18388740139459,23.46476298181385,18.502897460091972,21.542643135328614,26.886525190035844,24.189466753110327,23.35004978837273,26.958389999507418,28.385315613855838,25.689868178817598,26.780815614837625,23.37963743010856,28.165380510288287,21.92330563940918,22.66996074976136,26.73232366063116,28.010631577520325,31.74595686308625,31.36455908203977,32.732227137078375,30.288296532504543,32.195269834971114,30.487374246604915,31.631762966020748,29.88528219773889,24.896399116388984,26.50990634351616,26.907640061600134,22.739200679978804,21.162336505405914,22.907751749941482,20.57627145030394,17.173537128365968,16.6421035951498,17.270168750897998,21.902200918017996,24.886371791427678,26.84872601366383,30.383703889420886,34.460953689174524,33.332530093576494,28.60226708538952,31.787423528443046,34.67932586293865,30.825265502713037,29.04119533671302,33.4365257342716,33.69725465402758,30.048902268412377,32.8345444186567,35.693606620488644,33.69748543614034,32.02849801085835,34.48345795485951,31.256357109381508,32.19622181231873,30.10364738045897,31.03082349134208,30.601634725676263,25.80480593582458,26.04225155784892,26.337900732688905,24.25094191430635,20.671891305689947,23.91707724997978,22.97254959331725,18.28440243289676,17.626106989634042,21.001121037476313,19.69311571131825,16.245952774063902,14.557986506870641,15.753136669397373,14.824714586884852,19.09297953492542,17.06090082504298,17.710279901709267,19.33374198896745,16.73691916661638,13.812703265062833,11.52908180684408,10.077173677111775,13.558222509796046,14.598326763140694,16.15908395304729,17.28345396005645,20.52600889578758,24.59096705468237,27.020160326164724,29.61011744890611,25.604922689234492,26.495064821456744,30.799859699323207,29.357639084788616,27.05941203227638,30.26298521324804,33.860543464906875,35.03592938563158,36.204159700061176,38.090346738184195],[27.971423083600293,24.9558980868114,22.07345225879057,19.91010264795179,17.995057277693064,24.142864035432613,24.60362577383428,28.629049070496873,30.356852771369603,30.00407360992811,33.735531013582275,36.126613305369304,32.83008893945622,32.51197943668953,37.155954300838005,36.963775069899576,33.36588487342376,36.76930497467847,36.78501696727985,37.79861780436067,39.893052449596155,41.48026035501053,41.96151473708603,39.41569394670756,37.02090713493967,35.015497963080406,33.1561970556834,31.46649360674555,34.66697748093493,35.83679538986573,41.61052954158899,40.39309033599927,44.94626276811152,47.32043848973377,43.49485853780493,40.629534936706264,38.90884897784546,36.47004941131727,33.99551330887634,37.25899755551623,33.65727268017022,37.322985770641274,40.72538675243376,38.17211131481733,39.132197257810446,36.717166181175735,40.69465175202958,40.530007756416175,35.33729890012333,38.04723153996923,41.84300189086617,42.858199008440245,44.51181759619054,42.12290983138978,46.85073608412273,47.944281550073974,44.50317663325002,46.96896789853308,50.964665328580416,47.87461907037395,47.30568495829084,50.21433257240152,49.839877952716236,50.96781253992886,47.41008617713182,44.49837754850616,43.556977889929094,42.29010512613633,40.54271598429537,40.59773248020675,39.70377807974006,42.84056916041798,44.43043445947282,45.76926169956714,45.36472491563299,51.05465041784548,47.76849581619366,51.24323168232546,48.49356740475105,47.709138940513206,45.39575580410664,42.51450331748203,41.089698475829934,38.87874585963968,35.24055160097406,37.19457025008534,39.941919048492295,42.74175629928086,43.22999386050767,48.261414123623,47.0307352865945,51.229332519667715,48.89422625649734,47.57593166924771,43.303010137881195,45.37871699364462,41.49238723961651,42.54888386792525,40.15475991791889,42.00522935314275,40.6286004017217,38.37774469527061,37.92515753116206,34.68361368151965,33.45351807321441,29.75950178903775,30.420600292517037,26.762148381986357,24.422332011780274,27.37462660177381,24.665270749893633,24.543518867852246,25.17674316986373,23.29891102430198,26.69486785970374,24.44551650651436,27.811656840881334,26.021723797069917,31.8808693472667,32.86352330579928,30.900659257385758,29.412233768624983,24.95035886989017,23.64619852918083,23.202887558795133,19.668910358481295,20.927090265288918,20.10388526333785,20.512784772251635,23.79477852932216,19.38155547331269,23.024857243769475,21.93779909811289,25.99807323021082,20.683464856450115,19.782713101348474,14.53256452940299,16.068883803883892,16.789606503860337,20.20547444616888,20.779343953616845,24.803119333564258,26.981658307700307,25.13273822760292,28.55703270653783,29.564618324763046,26.909256611279652,28.69998851615345,28.142935235054928,28.902938997432376,30.090590962120313,33.223646648061674,36.61205064279115,39.37965194350823,40.04599204287113,38.44304683619551,35.665482884440756,33.913719539660285,33.90772958756032,30.22112263900562,26.794753154745038,30.265573526770904,25.078479227307188,28.832630267052064,25.32807683038,20.66412447034244,20.63661771565573,19.320790249683434,15.912473431195753,15.340818028927675,17.181527597537393,19.350562183988064,24.16218749571899,27.411978154008022,30.769938860029797,33.53366605235359,34.830853523178305,38.55832660106906,35.46952201823455,35.32266785964777,30.970192937653884,29.070157089267845,29.400311008186723,29.37649213288936,27.19474879472925,31.768761644651722,33.277970964113365,35.65444779908059,32.034734054472295,29.68200616108404,26.894562774836817,25.83157723827247,23.129864318407098,21.86166482909117,21.995415610036368,21.209493297675753,17.75931509146678,20.541945740300697,19.176193826682074,21.883150193589053,24.087838453488313,26.258692743867904,22.981736629588973,21.28886058338475,25.65316288265619,25.13223841902639,19.86642255717647,23.50512265864751,28.67588654363141,25.080458899107903,24.354693556137445,28.19613841131684,29.06084721964208,25.8662480980836,27.408774428796704,24.24584156697493,29.5571159428642,23.729404221715757,24.815311899412663,29.001973792323906,30.9032098757129,34.61332501899014,34.6759321413002,36.11396029022565,33.83554208702804,35.89382326811762,34.04006760895983,35.572933555747284,33.869090409654696,28.611854883796294,30.37710128676331,31.14906731281774,26.901043945318435,25.185197728950286,27.103121822157053,25.02389937175371,21.462657656677152,20.704654430152168,20.93016856584476,25.23759923842382,28.43984034692337,30.131975652842595,33.49312386244845,37.500033394094174,36.00541700805604,31.312329440438134,34.480088622511005,37.034656384193006,32.846064836062084,31.18960558050859,35.38840677678135,35.25436471324715,31.547156904329604,34.77673882417426,37.30393069910318,34.77322643152274,33.52659797676912,36.34231864520245,33.35107084875523,34.71076339684433,32.762281115082494,34.14135364828851,33.43562965099603,28.33937962470778,29.20161667689292,29.595189303046613,27.163995368142338,23.874745308679962,27.652946918554335,26.38890541091486,21.412775112949394,21.43386936252096,24.956452667520352,23.183883299133456,19.494866967609788,16.972379972087506,18.256898487009806,16.237474925274878,20.63681948351814,17.768863233534592,18.95160712479667,19.653880132453036,16.48579143258831,14.275254228757113,12.764101857446722,11.957110405928656,15.9875723645712,15.963910289340705,18.145199068778766,18.01870663506268,21.273481134448303,25.76754210409199,28.428723218483967,30.5476174003696,26.091173369696154,27.183504599019134,31.36854384229452,29.31555090958959,26.787467589719732,30.428543947779428,33.83900869881527,34.774889810162946,35.958199151757405,37.85454980293664],[26.71053718952825,23.544373812437083,20.294802764665864,17.61394647716388,14.840722977213282,20.833659709506666,20.66315131668025,24.60189620704007,26.231235628319986,25.525158952459606,29.23512355826598,31.650485050558878,28.10121943165439,27.864629129562637,32.40138687256724,32.12834758396362,28.480072414348896,31.872466146973203,31.99708823200929,32.96999770329822,35.18964774260705,36.875512892643485,37.48372424475199,35.10755824428066,32.544795655476044,30.387695369079992,28.398193335432435,26.590651890127848,29.747661045293107,30.94004464646876,36.71174677936571,35.55325642189908,40.11602966786876,42.42486412345208,38.60781848970916,35.718581880628946,34.06341125531797,31.6388059984281,29.2516066024461,32.7944524510062,29.160201879959935,32.68562620746535,36.20395628274633,33.83654279947174,35.03369078762981,32.900950426835564,36.96805510823225,36.47301589911542,31.35236663055798,34.496911899058645,38.10277716416952,39.06927845864379,40.50871808902511,37.91513367252491,42.583485559876905,43.67585206393966,40.09248024184768,42.39747559760472,46.48106293477985,43.528943954670154,42.77570767874645,45.52812905643688,45.04210718659425,46.25820765661923,42.76709596038034,39.7396264826831,38.795331906736436,37.42617479520234,35.772734015939584,35.801821674022186,35.01204229300566,38.25134282130313,39.67901525367228,41.00425244124883,40.48739671903943,46.16953604901404,42.89201121794005,46.344724479771784,43.63924790460355,42.955989045487804,40.66403298188099,37.93223551404313,36.53685358247231,34.51084609591526,30.77825072642895,32.52024999266919,35.18850198436589,37.95822582335268,38.360066442454496,43.36545327097571,42.107825462951126,46.3119451308508,43.99236991428751,42.70375320880105,38.4704872771849,40.624008422506165,36.80607432560628,37.81595927120711,35.53037073969133,37.61006915317277,35.991256121335745,34.02939344956473,33.35911876890682,30.440973145915667,29.413463287701184,25.824864909467816,27.01974009294911,23.602076139346963,21.326353997390854,23.84833876212971,21.00443188552823,20.257309638650863,20.77773774480806,18.573633695976632,21.88608400672431,19.587329524844403,22.937448530485362,21.29335614382748,27.211148934049206,28.04230679108001,26.18758235369135,24.701526433315458,20.341617685078553,18.995929622902796,18.721095616134445,14.992726137735449,16.961367957719506,15.898017479102924,16.778806615836366,20.04194754322636,16.30482095314452,20.356129419920958,19.013724709602332,22.585048806833182,17.00462211131905,15.480405737301405,10.599134890386663,11.312813432312163,11.887322885624508,15.348538160855396,16.28511055410223,20.491753177939962,22.341925767589473,20.33752915275753,23.806000455716145,24.68318325363813,22.00159385203443,23.85605255278626,23.47477116201042,24.382869161574263,25.91465344560436,29.10588837320365,32.66430419993176,35.63666933828052,35.936504626445355,34.170583403250966,31.19407965333525,29.569607379054986,29.26532895523427,25.809150697238877,22.204822515406587,25.49901254472046,20.32630689244679,24.249227465587182,21.128924345300724,16.54264570942489,17.04302968405238,16.40576708682811,13.06898421807394,11.484553222364466,13.291023212216356,14.884937189297396,19.879898107328835,23.056528818656666,26.282245447026963,29.10674932328172,30.15504757983959,34.08546842750163,31.008909814782193,31.094003559239283,26.82968965557786,24.99723134433697,25.823666809406532,26.091998741547126,23.575179490427463,28.00316880639335,29.224720755938776,31.85669996941816,28.651236841972427,26.491781654178002,23.917073021907882,22.91945853156983,20.51794397869599,19.2788978700184,19.761824141355106,19.638626088566184,15.857728319814264,18.92750206819881,17.905238239849737,19.78876845168593,22.862058716211013,24.399748142678835,20.7998344326238,20.202518971702663,24.65415728508211,23.54754643596917,18.862656708671192,23.064708144817647,27.70718922201753,23.944753021158704,23.932745965489925,27.86554134720034,28.07845327182563,25.243880481060454,27.557024068229758,24.658485445975234,30.044908701360374,25.186848080904483,25.576035889014108,29.726930312657068,31.898103483829445,35.90584660165027,35.8601949852977,36.67054300768969,34.11907982327409,35.8905756391292,33.437539203080966,35.36028959995474,34.23048283528828,28.52706034455822,29.950036568607413,31.470521832189583,27.483133500758953,25.11883183225752,26.954816853578432,25.94676704683654,22.369167093582863,20.376031740238687,20.47646574970702,23.72240335281296,27.254550811385407,28.97804456755647,31.86421844972238,35.98514452550638,33.88949584226643,29.41395322838459,33.01895259189509,35.06973788681886,30.58803337239517,29.55247645486611,33.72997368998152,33.34147705458062,29.953797592820532,33.66641286004788,36.00052880816293,33.36114643866321,32.74174787103007,35.78126942544341,32.99499703886906,34.24505676827696,31.946302198492848,33.79153830434199,33.52538837643062,28.09934759951438,28.9921959117491,30.11589149686015,27.742410801259986,24.122038524508195,28.51069067464211,27.895033675667538,22.617699640105073,22.445934473809885,26.718999772556863,25.46386497885001,21.64064547705133,18.761869163115765,21.204607568671854,19.018799782567495,22.84157017019637,19.197589838024356,19.453638898025005,19.162892231500322,16.814837153068627,14.699545730600919,14.293005355089203,12.58668967054353,15.931925327623208,14.20522710267433,15.97338460944442,14.829322424504475,18.76486730666092,22.949443344581322,26.02220250855498,27.553965798965365,23.084353688224038,24.94348099468829,28.8616879412415,26.155632475039443,24.332183540300974,28.38586607995575,31.44073058199004,32.166709540710094,33.22919672541531,35.01888026240026],[25.592737369929736,22.338012009149008,18.61201356641867,17.347101768705752,13.962615155369043,20.443889401552806,20.792641984190006,24.345001521631826,26.78488548729498,26.741101715514528,30.528016584253336,32.36448561897574,29.187387216206115,29.65281566678324,34.01929261577492,33.46560019284367,30.253365927255537,33.898084232492096,34.60510347223897,35.115905880511534,37.687770172920175,39.146935642729304,40.156757027109265,38.023682865074726,35.106282693606374,33.094329696725815,30.604377090729113,28.692262955297302,31.429890593054715,32.05863613688842,38.22423384431935,36.3261087302021,40.8662562838176,43.423820461138824,39.528802860117914,37.03719953139577,34.77968490897595,32.963835386531834,30.5380852801935,33.646471629193165,30.560400252103662,34.60453382675999,37.8914049227272,35.306639622717945,36.78754724440834,34.59111586222641,38.44195247772438,37.73162039651932,32.46940936120777,35.34449288772011,38.805941178168325,39.36562877790837,41.12509132490462,38.30406555147859,42.976434659977514,44.5881277693154,41.25830934770479,43.3974478329275,47.55529535134909,44.9526845800549,44.521182677407154,47.25356731601446,46.70402440226731,48.38817058551656,44.89250468064833,41.648330803789015,41.24625769943336,39.61536281067649,38.440738116662395,38.23418498239118,37.80652416231197,41.23570207819967,42.255256538276306,43.64833130966595,42.62288168284678,48.1829350275037,44.67275017434281,47.79790107439089,44.912200560525534,44.13532133698154,41.36987109779057,38.4915099131672,36.55242873194102,34.39439825638875,31.16327061762201,33.05191720931654,36.235418338572714,38.571413759814504,39.695202522497894,44.45226391817522,43.61232112260175,47.996587623917314,45.592803677807694,44.01606958526969,39.82012835930439,42.076843467840575,38.30126460571032,38.65095061707945,36.04912679191317,37.45477923920248,36.02835637020398,33.269704595066,32.98026767374083,29.31920916613677,27.972989557837455,24.149039067730527,24.55275709742798,20.87098721518575,18.505477486180013,21.61431606350902,19.206503697593444,19.45364651338969,20.727043414031886,19.29700020101918,23.386928481381183,21.731548086044015,25.244067366017717,24.26917709305677,30.23019112271936,30.574388302662502,29.008779824497527,27.21280049037133,23.23555326253866,21.273843860527514,20.2185469233661,16.042694441136724,16.352549331532135,15.075614147273768,14.916915975862056,18.17399822963358,13.591012695019995,17.30092623554197,16.694384783574534,20.571282895087503,15.609126776278254,14.914591002339957,9.415965358582723,12.282293456835742,14.21681477729683,17.45068546445869,19.60661178136514,23.55082123391197,25.072638307552975,22.613888785598643,25.590174631578403,26.161094513063436,23.470191624071802,24.716185919378496,23.60059464157297,24.495411226932298,25.13672659424316,28.63375382177069,31.58339839086659,34.75954745589859,35.52630937100075,33.66409427669064,31.101670488635726,28.922754313177403,29.279290437433154,25.114724476871878,22.074409038000194,26.096866557139677,21.439681548923588,25.06454879482533,21.810045114531555,18.08539465717649,17.343995451354118,17.12335413194363,13.103643401243971,12.509381766162342,13.298217014895426,15.556321024086929,19.933716432205088,22.84318430130942,26.138172983857906,28.55613485180351,30.181157265581056,33.61768907158888,30.842156713448563,30.374959880473458,26.38402451699072,23.834948971676205,24.33887988460851,24.667097803608023,22.755100080390175,27.776505054211363,29.694557141913037,32.174446562750376,29.04523152465281,26.856250785085358,24.000453955241223,22.643793195050584,19.56401401091503,17.685004730622378,17.415538248532823,16.472640991172945,12.460582358044144,14.996075449297127,13.556825614621802,15.987883615037612,18.53556836270064,20.565241683567628,17.305786728214706,16.07240217790651,20.5342483394152,20.077311072194,15.442085876156575,19.19497056188337,24.079483640632034,21.042096982254115,20.857636280966744,24.623541977020494,25.396681027385775,22.97590248917936,24.84271345327474,21.706291916832825,26.680290421962244,21.556366950448727,21.61106155445241,25.694462747998934,27.490128602248188,31.553711811616303,31.249604058070478,32.0018927492826,29.385028764662238,31.147102392107417,28.845137691606283,30.644632117601308,29.397876734389516,23.774741482575383,25.293331495481105,26.703140118079222,22.646994618180326,20.385647569237364,22.41188029886006,21.284398080459948,17.5881726489457,15.956516453902735,15.79911712118547,19.562268034629806,22.911253722193354,24.60325350159862,27.750757531331296,31.84555524281454,30.14362549391197,25.518876345142452,28.974462730508616,31.38686712660516,27.180934020467458,25.836054532908648,30.18156352366438,30.1437495455168,26.68983397019999,30.00090173796675,32.63412518064537,30.433010947070297,29.361439301338073,32.11357695541227,29.117728504746555,30.10111035938614,27.751667959644983,29.29982730476706,29.13875865040154,23.878594172849077,24.434465014722193,25.483308296211135,23.280956009009127,19.484836058526803,23.70267514021355,23.280678253864565,18.086807953194423,17.63691006054748,21.99821710852453,21.03344836549778,17.297803086076357,14.779272756577404,17.564611412821044,16.041504727967602,19.564968041921816,16.437645479505505,16.120760048160005,16.667658174525286,14.847919517536779,11.98435227534449,11.092274630466662,8.676621556492565,11.608971994601857,10.787711976001566,12.355210839275975,12.583078312102533,16.249298201789195,20.281576951595383,23.036201741560145,25.204536817569387,21.07326866556181,22.480123070546114,26.62911478572355,24.733514019560335,22.862993843729555,26.39221151427272,29.755170697222603,30.797254020313368,31.91219140458821,33.76121023696281],[23.67037038170807,20.55411327127431,17.353095863757762,16.03355374358986,13.895633188448569,20.222536143645346,21.193624125745373,25.0350191061648,27.238934378965006,27.57076518643932,31.36063304424005,33.316616808904364,30.574393404750936,30.6947632022788,35.31801800005703,35.06310568077013,31.985482842007645,35.80485644531173,36.60242690846665,37.459481528675305,40.05729314772751,41.79174971240766,42.69085526159388,40.53215206932659,37.721214525224426,35.449882203618564,33.09057320435279,30.927336666058572,33.58950423516154,34.126701345039535,40.045401313717115,38.246329334498334,42.71951813416033,45.49807627707553,41.75848314120412,39.31982829244885,37.16000545247,35.57076091804748,33.31741501493924,36.761771114382924,33.58461481616998,37.36905000999871,40.83192720045377,38.420110713051024,39.925850782312786,37.8126279325505,41.74275912918204,41.007052770834555,35.786132238210904,38.79101862149224,42.243316287165705,42.825466840100844,44.49423280576215,41.59878815522545,46.23761602152219,47.830803920098916,44.385886473505906,46.41542878748984,50.64649691699093,48.07513883434445,47.43757759710488,50.01755252017607,49.31661557239694,50.95449475379834,47.556725254993125,44.25079492280449,43.505725670997315,41.73329202950859,40.25585950967956,39.809649277374085,39.25055006606252,42.52992318815555,43.78103984611173,45.46581972308868,44.54957826922755,50.295849501964256,47.03651774328469,50.17002304873833,47.46627042962382,46.91392422581026,44.160597983533364,41.486962976451295,39.44431580098756,37.49486228343576,34.26391572865591,35.89952542883752,39.012619716916014,41.20401217079114,42.19777494348006,46.80147959418682,45.7530376209499,50.011265672607664,47.41697035247243,45.73682455180636,41.385691564226946,43.387529386893654,39.44664403456668,40.10653161719821,37.393225142905926,38.67873530722983,37.785691691198245,35.015717549560534,35.1647664750974,31.453982775007166,30.60460440681404,26.47379181544706,26.854473750617935,23.302840823836444,20.451560792637572,23.45772009585088,20.656902199711453,21.356854146510145,22.0730732305331,21.008894338069204,24.903378029246095,23.352703766759486,27.067841707688572,26.100284523738893,32.13243572807659,32.335847684058244,30.453182136862313,28.458623586333232,24.334900901128048,22.321240131164632,21.031889738631843,17.486621672900686,17.323596049492878,16.915621220604127,17.00539469334195,20.784303370144134,16.288386314402945,20.06084113642976,19.915051769755234,23.63217136128703,18.823184231016047,17.773198238936335,12.285754832557076,14.791010317120183,16.23342807635087,19.81517833526226,21.702955697025423,25.994498037830425,27.439757561052083,25.02664879627504,28.26669609711988,28.599976361689556,25.735148081506832,26.765136985078467,25.611533146586098,25.952547244715007,26.50694076234895,29.576765738763083,32.65726694119838,35.29466641043826,36.36327367774102,34.90986778231882,32.51082892869727,30.55808223063588,31.181115539038387,27.264055475956937,24.63981828628872,28.71327423814928,24.18878264156132,28.058629958568194,25.08268988499261,21.230150185550272,20.801170065755628,20.515764622437192,16.574269311899002,15.76949280540174,16.67187919280899,18.61556000267933,23.12611402121478,25.906705879443166,29.04395132190854,31.299500913232187,32.6711724507206,36.34151001591002,33.799926929862046,33.38736214110794,29.602498709313615,26.745970848378462,27.59125093396543,28.08072251095055,26.18915577056818,31.234499839575083,33.058459121064,35.62539327262641,32.55687685900562,30.35302080358883,27.521647193046505,26.1650278766915,23.102369898505046,21.184005120407228,20.768997233793513,19.534433997782433,15.432744126868293,17.450572489895475,15.260759266923163,17.649120957502404,19.562887197759647,21.509541602682148,18.22089490740443,16.327198109168076,20.632547219506463,19.991772447279992,14.671214038649037,18.35707547498995,23.470510044118793,19.937103381877783,19.28132493710981,23.117235838934192,24.00469800382663,21.059174643785635,22.667135798461672,19.503192589800744,24.74634912575176,19.37901161103142,20.045371645723353,24.231942369912332,26.380732342078286,30.264514108442494,30.41381617272134,31.616250701089594,29.402794385259394,31.57100745783004,29.663043847394928,31.63096244708403,29.932293923965247,24.39742352743766,26.482200706475727,27.76956886015346,23.37616691250447,21.581571807664922,24.087448216490365,22.37787601859079,18.381791712566717,17.93797602245783,17.007671086965765,21.478712461962047,24.584551374251813,25.729042377520738,29.130994057060505,32.909122530320474,31.485443944811685,26.739802511714224,29.607528257173545,32.151090978497244,27.988899357525984,26.134937398172337,30.25730314238711,30.122432969601846,26.362642041686268,29.578471085619427,32.09049166199704,29.606973064373733,28.34136546972607,31.176361349636476,28.22704963689811,29.64295467083065,27.7468530014474,29.339474047928714,28.557841894234087,23.31846043436878,24.467456095918887,25.037310483580118,22.47244192302799,19.267045914918093,23.578008545577877,22.401895958220393,17.124892669901712,17.57855965565457,21.626696549358726,19.904651860155553,15.986460907862925,12.897120766602896,15.415228766521858,13.210393229872627,16.938050535881906,13.617410282937971,14.092186279127311,14.747328264937991,12.122424338981675,9.532704347911524,8.500693696609812,7.207981916017236,11.082927864820636,11.014632316849779,13.657165437610004,13.783695374618656,16.43826867478962,21.06889274335149,23.49796410955457,25.864865715534055,21.45738553294189,22.19556182683337,26.461563815568702,24.8438288745322,22.16118592461162,25.542033969844788,29.091666247983802,30.195146653214405,31.442419069328636,33.401273894699386],[24.082490093346873,21.172675914090732,18.353508942271645,17.783536070585747,16.39439916576673,22.560624093576234,24.06125170041164,27.833657670443127,30.16852910513835,30.872918849177385,34.65086113570663,36.48186817736218,34.04606396147365,34.19582533134914,38.860767092208796,38.64704632993131,35.71224624942957,39.60573872797021,40.476461383466365,41.32770981639952,43.941565268010244,45.638432152369006,46.5393644998312,44.34271387910063,41.55285663895522,39.32806842538535,36.957440340662004,34.790493612140295,37.38500621881335,37.78847885410642,43.72146975725829,41.76532465118426,46.197181282930906,49.099826732149744,45.38094454197666,43.05268958129285,40.76371103600721,39.33252144512623,37.063386100737176,40.34701055071306,37.27724423018481,41.17959561042891,44.576464040304856,42.06687845182475,43.5238179798398,41.283142535240366,45.14194492412276,44.509794608309456,39.23803173450021,42.005726880244765,45.506739270999596,46.02711300148601,47.84596830703809,44.992364826762056,49.6433086906272,51.34858277129362,48.00637734275665,50.0527209492797,54.270198696111045,51.71914862258061,51.19645554003142,53.81465323132872,53.12265999094089,54.81069335615446,51.399075102955756,48.08882331985853,47.38938334669784,45.58522718430735,44.101287516350624,43.57562695944821,43.01470219272469,46.25433912676872,47.542637783682125,49.306297360535815,48.3582214393422,54.11647277931615,50.85645106655803,53.928952394860715,51.20435312031258,50.628550455668595,47.7685940168894,45.03658880940456,42.85011661501545,40.82988917159319,37.75976012343436,39.47524541044731,42.70869935449113,44.79200808380926,45.95152438549474,50.47765214895663,49.49138805270568,53.75547533913093,51.09761073449807,49.321239442086615,44.93968580717632,46.865753292461534,42.880631225480414,43.482734172150934,40.638925941285926,41.62077683435515,41.01590854275621,37.942613770065826,38.37546811124588,34.36579989844567,33.45377771501936,29.218844371690594,29.12734509871104,25.495616160826376,22.57361364048801,25.83278320184654,23.205166578438874,24.48397354938251,25.28198507904593,24.572591090731258,28.55100465785802,27.140369357769735,30.903970769275574,29.96867533898743,36.00304958697032,36.17041335178291,34.23639622544976,32.16089864499897,28.040084010734628,25.963397122374218,24.467895436131222,21.097301964588837,20.2964519291789,20.119281445154435,19.831154762378247,23.57651431879617,18.74444544354334,22.082515475167227,22.328389623246522,26.234934163840986,21.810727675323065,21.161425948437806,15.6208344260665,18.562923469548323,20.11599146580824,23.68518839085807,25.525839394864278,29.772272783912253,31.309277501886683,28.901120830756362,32.087721854248215,32.397115968580124,29.526125710398954,30.392474414985568,29.034048485265345,29.20101574600835,29.379039245575083,32.346114511350095,35.17983508721168,37.595195826893594,39.03163656694378,37.74760315915883,35.60281367734143,33.534116661850625,34.49079294662774,30.408661047092988,28.079509821352882,32.33550201043034,27.926258166306578,31.69340790289246,28.571989225057067,24.798665614942557,24.011121285325327,23.48704920212085,19.480376788255008,19.19872100288311,20.015847604443756,22.234361564183022,26.55653138181062,29.283784648786078,32.44504440232455,34.54478786500862,36.09715325873882,39.58515623539306,37.16114687065755,36.533695657678294,32.82841536179426,29.773450534207218,30.357954248168188,30.740540014553495,29.161215989997235,34.35681453881002,36.429321520013424,38.854942239089226,35.634340800227335,33.330265423786415,30.36708856646487,28.923782203672854,25.6244844949989,23.59416780985772,22.83193301094964,21.037419670234822,17.223027654294302,18.710094873486018,16.10685845404282,19.00522994800591,19.961796893084838,22.35332109454067,19.490161124537448,16.60751851073759,20.615886748818053,20.532954137418784,14.907092354683371,17.81794206416986,23.281744135798636,20.06010138548569,18.73043409554724,22.35223357957443,23.87943654169334,20.759990533438316,21.5526396545042,18.177124770759963,23.199090457275446,17.00717275131488,18.28527447755663,22.44259185161676,24.37181360041147,27.99079533205905,28.28078116390047,30.018785856575185,28.126091535150113,30.587320790214264,29.25878121134133,30.978054832037234,28.753814847881895,23.647714280454448,26.132416741984116,26.864531288779453,22.238346962481366,21.104303614776892,23.830381202687914,21.26430252203046,17.214096446454533,18.14055708260547,16.9706746360872,22.30135435288946,24.99128714560309,25.907752354414882,29.679658199199583,33.221881795771445,32.37299360770926,27.51692713535554,29.842569952655296,32.79219644148604,28.97563266142082,26.552899434201098,30.586488486463985,30.686791950092708,26.702174668804982,29.392107827390337,32.04100858628986,29.72143364942349,27.87707436010411,30.45399304294902,27.36045876821413,28.878303812543745,27.368785394206952,28.55505430967752,27.325286451908916,22.462077141349866,23.654431926075354,23.531243523774336,20.894601278863856,18.15443786239651,21.930103188270355,20.09765340751539,15.110994082999433,15.978381065623752,19.33938435329992,17.05216896771529,13.199132228424098,10.312513654088239,11.932147261582791,9.822608833260693,13.97765915851368,11.5060006239634,12.799311115182574,14.563950018628002,11.441096527487684,8.785007241094878,6.383215342649567,6.461378585138911,10.647996729943884,12.404403841095846,15.271646351650247,16.2745888156459,18.081195629081204,22.783216945535646,24.718893789372952,27.58696964759736,23.335855055328228,23.307623578123376,27.70363698557687,26.785698731994124,23.568763977002014,26.416051410670306,30.23401135239252,31.536741798133406,32.87385310327809,34.90026589542644],[21.569803380862464,18.833956494123758,16.69487513200645,15.564287368583354,15.448146633918382,21.105255567119443,22.9406390063665,26.979055373218543,28.866532201238538,29.756071650015652,33.46535462409326,35.49262704996952,33.41068486087738,33.135695606100874,38.00267982736669,38.12043929227228,35.296402056130084,39.30753449760311,40.25628975214433,41.50606923419388,44.14458367502759,46.19632344699144,46.98227338231637,44.82105655422879,42.13192867980995,39.568395646585294,37.352963368286325,34.90116239354243,37.408167170632694,37.78022280233765,43.3514917432451,41.636560789872526,45.97852144176127,49.04626665097101,45.52955067798498,43.21025201927601,41.14184824522814,39.894356984514886,37.86212040817729,41.65530918716121,38.42500788142055,41.91805051196943,45.56126821169925,43.35025291716927,44.901324986925836,42.886596489644305,46.886173903987334,46.1072534877931,40.936554027891766,44.06554021740819,47.49486898149,48.068800079548275,49.65435280150254,46.655914309941224,51.240893613007984,52.852538200311635,49.29434945949524,51.16858368537567,55.4844554775864,52.9875647296679,52.11990002134815,54.4974630256841,53.59967764409199,55.20909076517011,51.94931152726518,48.561884949722355,47.42632866328622,45.464249679255225,43.645124274222816,42.870846349081084,42.173473796549004,45.23231264267675,46.74864526281328,48.81229649829038,48.005464824297654,53.95031863656339,51.01803019454009,54.1201255776636,51.65011119609008,51.37871145724649,48.61331599893285,46.193618446403704,43.98951795299252,42.291592201149626,39.11465862650494,40.45085680247687,43.50112393804255,45.46473432220704,46.34759965538917,50.70822427063837,49.429033011204126,53.51007623427221,50.67221804596882,48.84229914314405,44.327186891044384,45.97516634951882,41.85816095655778,42.87048368432109,40.01384156914539,41.0583366437935,40.90556544790961,38.08395097445447,38.82771355435938,35.034785573598626,34.77626338980986,30.31645661580278,30.591977813777657,27.236908970038957,23.893986623400934,26.740889231111197,23.594535986741356,24.89759847118731,24.984409825279222,24.45932130130672,28.064041904404522,26.73022628694657,30.61708568021535,29.72425237435847,35.748712501895646,35.737248417119616,33.50394664883654,31.271438983490544,27.096668322526046,25.038585359097027,23.444969114903433,20.794700826548954,19.948839725749746,20.551027234253244,20.823900450264233,25.049982509442017,20.69465521074268,24.402838666037383,24.800494415734793,28.328692034348563,23.787674765182455,22.463082841464153,17.10149548135515,19.324970693559226,20.304210170570016,24.12533984853401,25.750567847491535,30.340633709937066,31.657844053609768,29.301321575739102,32.76917508154368,32.800254479725474,29.77282403602732,30.482745202573987,29.24789656216923,28.898764118144044,29.249841827541758,31.709955874742164,34.84180579753528,36.70398308136473,38.222908620142725,37.341353897537914,35.23814155193588,33.56335974613249,34.57334133178593,30.966691075802053,28.920306785206485,33.05447417064061,28.773240759363233,32.855617634627926,30.19583447932722,26.29005605087893,26.099802800817223,25.774050852635238,21.8865790099691,20.96274899853177,21.902201035207703,23.56888507268037,28.125543048773935,30.723896442145474,33.660857301468475,35.673157099436295,36.773871378579095,40.65634015295488,38.44006940596127,38.05001838746247,34.54951965977148,31.310131313919772,32.50497434350456,33.17492360648551,31.36207139744868,36.46017374475643,38.2253379094714,40.8761031593766,37.88034614647535,35.670590962711444,32.84702728306222,31.479305475437613,28.38928118491666,26.391707567177853,25.777018911449755,24.18839791124039,20.064890117590135,21.458752234120738,18.515485036776393,20.781120992058483,21.76137398176828,23.562750796033026,20.43773706771351,17.72549483479556,21.531841704726276,20.739251005355626,14.812659226868334,18.013826083083792,23.234915375778904,19.18716917572883,17.750187336226453,21.48553957062515,22.603961020529095,18.930790114950035,19.93453654285782,16.825569925117044,22.289442119744827,16.64788657859034,18.358089222845766,22.519508976691544,25.123551762433138,28.614241750880293,29.45624287293325,31.331354549495373,29.770068913245826,32.47430664191556,31.18808417321261,33.32862951287054,31.0205440155008,25.791069744115358,28.589184972377872,29.660129560541954,24.940824712996267,23.853597016942203,26.90619088392985,24.489370225712975,20.277927543224386,21.353642440745443,19.535484592345483,24.718666752745925,27.41028730132504,27.80856165475366,31.487363834291756,34.753903786037704,33.77957380721292,28.96868548083933,30.9396809265812,33.64843201845219,29.67807368247684,27.134778319277856,30.83096230387785,30.597199778815646,26.489446073722203,29.411369405435565,31.709023268082078,28.904598586806205,27.311420846699548,30.16620322765415,27.343438237909822,29.361524425876183,28.196554261062644,29.77187621407134,28.085518303719333,23.089049963214485,25.0421605086315,24.858340130655154,21.856691668805407,19.715894069197052,23.91929108526054,21.652090372694136,16.57820894305413,18.349661989981588,21.68986985433451,18.896054338836677,14.965826016558166,11.23352652380829,12.994957610267598,9.62199663957086,13.47892552775761,10.067051864525077,12.114934009625976,13.046820622077203,9.145698279434932,7.573819060050924,6.37062254287751,7.6349381568279435,11.968874636407667,13.039761383784889,16.647683130214777,16.77856198137614,17.921866322692008,23.059814702997993,24.909446083700903,27.53872113241442,22.954790136085887,22.654113765913806,26.947373004493098,25.874545996766464,22.105509917211585,25.054003271985618,28.809272830445224,30.007193425648484,31.424778616886016,33.51566371856682],[23.49741197393807,20.92119124752482,19.30917577091132,16.841284527018612,17.314317212231757,22.592516461068826,24.033480664519438,28.40584227842333,29.600065207845578,29.966342254350675,33.59331811687206,36.12715445379324,33.76915069649457,32.861655381360016,37.881307124578115,38.26394271523203,35.08965437373117,38.86420083545292,39.28438268821281,40.935271599135135,43.22706321398119,45.4379094236796,45.843435083123396,43.45056567876119,41.128416225388065,38.49667560855373,36.74974596297833,34.42895835786118,37.27375006276068,38.11446884812309,43.33419036458858,42.25267427670309,46.60931770448553,49.4593705406107,46.00752764051662,43.354518770800205,41.78227996163245,40.01488589171736,37.9944669166729,42.046232143511126,38.39635669275765,41.48839975781087,45.274302359546276,43.20217290597383,44.45593436420853,42.43373962153648,46.566992493218365,46.049308948047475,40.989259083355094,44.215773972718914,47.80668492382989,48.7238103230771,50.10357208419236,47.35032588465047,51.950956733423006,53.12424211339203,49.39883251563043,51.45552105432662,55.67555344884644,52.84914251127908,51.76105708456626,54.19069029971287,53.38141422429837,54.55537966317248,51.295469878562365,48.13846476650023,46.53988173856016,44.83830978182374,42.58133120696383,42.01639280398278,40.96894314261401,43.79819048999096,45.72896425654257,47.73451356063404,47.41501244582239,53.4495030521011,50.72741416205805,54.113909143226266,51.79050456454074,51.56703001366583,49.20488200545353,46.85958098403284,45.11013596436542,43.453419255628525,39.884860804088305,41.17291463918278,43.81657166483657,46.15944393692869,46.45221976723038,51.030741921968044,49.40071173180595,53.311342712689054,50.55491952490442,48.98215761422987,44.438520568747435,45.9726219492374,41.81439282783481,43.42442547095756,40.833888307347976,42.437017704741535,42.126157339179265,39.927599513480544,40.34510037210499,37.094490079343174,36.967864679460604,32.685616120756066,33.496151073504784,30.202205144675034,26.978962569369177,29.532599228875924,26.10305068679048,26.661816328350834,26.24437948425961,25.13748307583718,28.120017163169578,26.294386121506196,30.01084395406895,28.55948206603497,34.444420523415516,34.868424459312294,32.367346393439654,30.41136253936215,25.93789012181396,24.434535136952892,23.46294755938643,21.24377250011288,21.601609077555505,22.268520338084343,23.17353571261547,27.377456833534325,23.34826786559268,27.338804261017454,27.118836728036285,30.65193604904224,25.581608443126743,23.85320906358659,18.687308087114772,19.807987095895697,19.907634951709607,23.796987635259885,24.398288003402143,29.059513099633318,30.67461684592544,28.743302390171824,32.5423846673342,32.84728263328339,29.857313977754632,31.04134235776525,30.36335687862702,30.044379973798776,31.085574176434324,33.32667675763382,36.95409039347026,38.65447125820514,39.79856665346774,39.00092657385051,36.5587839422491,35.30739685228953,35.795415337046684,32.68149978782953,30.157071395686433,33.76426704950765,29.084413377823168,33.326425328619145,30.66289208898544,26.157422061127594,26.685630854693564,25.935511738643836,22.472511877703447,21.16596174872175,22.73496053245215,24.12734351091001,29.073781712571776,31.91760170837625,34.86528854234664,37.218750164455244,37.93983477045989,42.16931203073799,39.668170214117666,39.66249901124988,35.87510271680929,33.20041881779978,34.484225498891135,35.01867372566396,32.79883030664288,37.506909234556424,38.80881563042538,41.51390771322165,38.352348175977816,36.125909218178904,33.46214687781168,32.33737194197572,29.65052865516816,28.0814439574452,27.953259380750787,26.857836816478258,22.82964982969531,24.8235557579916,22.317536281081793,24.44316049863976,25.960523792886978,27.555554453905486,24.150341773090396,21.965678731197094,25.87851462733097,24.68442425352099,18.81829427338106,22.367029803776134,27.37930954419526,22.836646523249772,21.587892787456852,25.39070706515102,26.03691021820823,22.023834686088357,23.369113498987335,20.55948529185124,26.2265661603839,20.851236906836974,22.81537813331839,26.945960541890972,29.705474905421834,33.07880655769506,34.0638581813839,36.01189254781698,34.45101711018618,37.113750279771594,35.70158546765224,37.81982142592644,35.602110029022285,30.332688779723263,32.956097765244614,33.993374693914085,29.333983954330346,28.107495316775438,30.89290220503165,28.485440810584787,24.41975024914338,24.9966373226665,23.701541254440155,28.56941643617063,31.492693794019925,32.11581456985341,35.64482892366369,39.03658563095516,37.76670185400539,33.014832278273204,35.22172105919428,37.70105286694669,33.50927074791072,31.2353791200146,34.86103914183042,34.38123781537669,30.339583621533766,33.55817662157279,35.637880665576056,32.50423600439928,31.268524208273508,34.31476811760792,31.65504771012862,33.82351517872723,32.64930192120741,34.37860065073872,32.68502802713162,27.614707424673806,29.658780576048073,29.543765421223288,26.512277552669403,24.36131025823101,28.55467477004659,26.240262741223024,21.231557385366965,22.865718133390338,26.093945245718405,23.212004634926252,19.368083853730212,15.768101036918212,16.882229406006314,13.327417460748174,17.377367034553135,13.906150141690778,16.34559108691644,16.51131420373681,12.317243593437322,11.548831032467035,10.794912551459422,11.945591981503908,16.40125845512699,16.62563902426304,20.154256616808652,19.453067673047187,21.065120095300173,26.29411267436365,28.4532946182435,30.608550654013914,25.758112309106494,25.873724519812516,29.98566158910326,28.243699318669123,24.506854211075243,27.896689526326135,31.37907643916209,32.29952759154786,33.66976769998391,35.70863323468327],[19.686043234891546,17.008947168566237,15.471295480175,11.869799244952691,12.848856504456508,17.48110670477209,18.805299571558727,23.313964395639285,24.113720025138107,24.525395264427218,28.083795259820768,30.703412597412253,28.603944692455634,27.494014558380886,32.5842222513574,33.16878100435959,30.223894309633693,34.16260283662877,34.94591374186126,36.82605219099955,39.33963651961074,41.90825972434794,42.43124113048512,40.33041064367278,37.881559747118224,34.84182761392506,33.01720068078592,30.28374664502533,32.8186781086006,33.465580661594586,38.368124305004606,37.38852347957915,41.62678626728447,44.63493877636236,41.396856326570905,38.87196618420078,37.430747357665,36.07359318629088,34.40397765504173,39.016557009500936,35.40964433527973,38.05952122375431,42.07200335215101,40.42583819589371,42.04210325282085,40.492963054959716,44.706400935361955,43.709649732867675,38.84954336561295,42.64701509703215,45.91491309328057,46.71404526448646,47.76403984558283,44.67358587134011,49.10034075501626,50.32179457838522,46.382143964379175,48.05795951710399,52.43010497723652,49.909261697716445,48.4317890722021,50.45761483190106,49.334823774306024,50.64425119748641,47.618094341028296,44.24421087745304,42.38176075856681,40.356389132799116,37.99872929033981,37.07586244928016,36.09899743075445,38.89177719318959,40.77015629707552,43.08438509757289,42.64891226350833,48.79609844367649,46.35247815020772,49.62812753387889,47.55943378734908,47.70089736724893,45.33843474515888,43.41822257112647,41.54410377420585,40.35256637879402,36.806275918239855,37.546115418209006,40.04389616468572,42.0829985156421,42.225060436116785,46.50224685086007,44.687228249602576,48.45313679536294,45.52037374444671,43.84609160300105,39.23112244665381,40.582064273888975,36.36743058036914,38.17137714950951,35.59235795329474,37.30014918901284,37.26516790306426,35.395212423596824,36.02739079285343,33.12575911595407,33.74632479697863,29.346698062938657,30.739390312528876,27.90741398566736,24.383253202363058,26.261921205211216,22.361768166604136,22.670873635807766,21.52874033425748,20.615950989858938,23.230905793663965,21.691898200760555,25.53772852039622,24.513557575860382,30.361887618714317,30.281026648611693,27.64602480813861,25.41329193442515,21.114474916751043,19.39991704455378,18.21097475468572,16.71588705662894,17.139997258597536,18.50811662947207,20.114601788044027,24.66682189868764,21.557301860569552,25.956009835390194,25.908736405961335,28.68568840139669,23.675091737965484,21.08528237201019,16.573082154902835,16.780660155341785,16.396079091874093,20.380014706441486,21.369528904718788,26.350473100978256,27.28884873067367,25.195349012354512,29.095124631883735,28.868580933121404,25.740334087430046,26.5791133204557,25.994516002533736,25.208883618622995,26.50740140027423,28.323687139685536,32.25891307692917,33.664981297106245,34.63678430723244,34.05930179689385,31.59011039209705,30.734981156063633,31.1845628786607,28.63899502599492,26.50502776289636,29.950629062520683,25.72160638219959,30.22945229830524,28.411651658341647,24.267021214842043,25.40657094185627,25.472842107433436,22.135628606545687,19.895713595276476,21.16939161324065,21.649212430243452,26.569190628362165,29.036239052433146,31.576175585967803,33.71886813158907,33.907158599820654,38.51133010924627,36.357765266076036,36.62723124122152,33.27813919992617,30.330396787474232,32.49274499663543,33.531974834373514,31.062510311794107,35.61369302500565,36.559393496425,39.592225849432076,37.06978605362318,35.108739618239014,32.71660562338638,31.632611393281067,29.237460320716735,27.58913332738507,27.629704153325775,26.98164399716224,22.521382957143697,24.424599814898816,21.832223296960027,22.88872502595468,25.003813850176392,25.668402936904933,21.873967970301308,20.7050371069207,24.52805934310404,22.351894384611782,16.915388665440386,21.160952393780445,25.45626383207771,20.25335501802688,19.750380768328732,23.69368565002146,23.359383394728066,19.44296249862373,21.86777495931806,19.5650932436357,25.466083816849054,21.598631242928036,22.86453888895747,26.921830068857926,30.285250789992492,33.915837641065735,35.03415793743333,36.382227234986374,34.725337607257686,37.251901589378186,35.31606297178668,38.06139195027198,36.31577375343393,30.545657596050496,33.07866608634582,34.999824252930495,30.487578249582338,28.72179700917239,31.69764263550456,30.27212367435557,26.03166526509376,25.774828486342436,23.87656553019252,27.85842444414711,30.99182475094398,31.250905222995904,34.31749776664562,37.58791025530322,35.74612016770702,31.228180308021336,33.530280508404374,35.4003137606568,30.879626136644784,29.06042235330314,32.42524695951464,31.49082699239677,27.682332073113898,31.508560349977742,33.17505830003477,29.637862122509134,29.21245029895436,32.64654525356735,30.364799298356584,32.6936267929995,31.382308791352344,33.78752202647176,32.28196553669398,26.817220766852824,29.311002028692076,29.88929746983057,26.74389732840388,24.556717809804283,29.577232513598222,27.740648207758248,22.3672031883001,24.19640431087743,28.203674234432487,25.68228232988447,21.651677447805195,17.417655426307984,19.980888271352843,16.092072772053598,19.140027106756435,14.451419476446631,15.859918004025706,14.337996116879786,10.954656360282408,10.897732925939986,11.982314854814772,12.42434592686142,16.236830999307138,14.634073300494297,18.33959592753889,16.318687440272925,17.723770724667926,22.98115127279124,25.363748200004157,26.851655801975284,21.772787095712424,22.32114911893258,26.102778268438485,23.695774905557084,20.14300483740835,24.02811924995833,27.128781932695066,27.78842914396739,29.124636166597433,31.1347716985204],[19.54243902636408,17.414816449198508,17.102535626080524,12.926559227380995,15.584128909079572,18.964405724546964,20.503955720403336,25.092495650705402,25.147721922849524,25.625227573842512,28.9202714300587,31.823034336961975,30.132486407745485,28.383545197325738,33.588102235881266,34.60443072676348,31.768062391285277,35.63557208423211,36.30008776898519,38.65974831588978,41.02200179583253,43.914119862951424,44.19062379913033,42.07068185287113,39.897584027761646,36.60714230801387,35.13663128542085,32.271899684960026,34.748731713807636,35.47977252517813,39.792686403438594,39.253542059130766,43.313452711570115,46.37877824132833,43.41278746253,40.85835146673007,39.785193682353416,38.4845687545026,37.0566275812514,42.03087548028333,38.25856221056646,40.40463778463235,44.584095396231326,43.23485684277832,44.791293003534776,43.41350816467093,47.700889024093215,46.71212705972549,42.02703531397462,46.01148632501791,49.25221737015743,50.172692313246415,51.00836510189069,47.929136828459434,52.260787010054294,53.280430978437415,49.18144160685417,50.75654878663448,55.12591199670527,52.574598794843425,50.7756536497277,52.590366504498036,51.32947734892492,52.411291613860875,49.56117187916353,46.24748476860336,43.858752691556425,41.80530557234277,39.00171129334565,37.902263703298125,36.66920240148068,39.110155804755266,41.364894566161325,43.94594280768164,43.830835525995205,50.10025397932665,48.077981819653154,51.418710928265476,49.65725950392214,50.07729289925389,47.93885574470048,46.318300331758294,44.569608893272196,43.64568358399308,39.9968572008268,40.4259570824989,42.618305707753244,44.617437954596916,44.354768857308265,48.46707122612666,46.300389659892495,49.77448751097273,46.72289628943168,45.09238911378401,40.41384857243961,41.393990064584834,37.104672783905954,39.49510511873967,37.02852587724602,38.88013708950136,39.287891491955236,37.82105334919856,38.669779520463855,36.11325849179039,37.241838950228775,32.808168842184784,34.45018756088598,31.8494539725931,28.167643828091585,29.7044933041894,25.55564960803223,25.793281126652595,23.982035104127213,23.181993994442756,25.085433934318463,23.56543741485426,27.276858566279085,26.14552521471858,31.69440062807963,31.587080883653016,28.6190441840604,26.39628310750135,22.147324665054803,20.78107867303291,19.7764986756692,19.352192045052888,19.947517189100004,21.891365652544675,23.853183178127892,28.51307469451266,25.750876488144105,30.20763639035373,30.188211564377312,32.76253609416274,27.750037845656742,24.85170676881121,20.681649285385646,20.294489776021575,19.267926517979873,23.171055569252445,23.54773205298975,28.596249055483977,29.42711318252972,27.61717493807616,31.70235069239124,31.332540708279385,28.20275797334498,28.98833848284034,28.67105417140767,27.430568932927645,28.965925670082424,30.144089087047643,34.33174433098633,35.062102723039324,36.04600276113071,35.94177537179812,33.52978285913227,33.17308348140819,33.56533435797727,31.62022589084726,29.706457849378477,32.8200545643777,28.742711160892704,33.36635389716546,31.89496517292868,27.629315443779788,29.2279587712027,29.225234473086612,26.12851709667111,23.66027516802788,25.10296050153086,25.233839989556042,30.19560228746785,32.564573081388644,34.886462574688174,36.97751723963033,36.72960918518174,41.61890584002873,39.60834651660364,40.11404165470183,36.907217508765406,34.00842440065973,36.48846012445979,37.6270500713531,35.01540173978041,39.35580361695679,39.994339480710565,43.124681921646086,40.69857859921366,38.80604164975348,36.54746705170762,35.57708060956717,33.38022555148607,31.851852475326037,31.9991414572188,31.423316777679833,26.94389024241805,28.793095294578542,26.065181913467068,26.910365632555028,28.86034920750879,29.240424003153656,25.452344738495174,24.288461010250757,27.810226752434524,25.297675891539285,19.926430892744108,23.984393745743155,27.950173769436528,22.31299431672858,21.658801648376365,25.414003547454158,24.74044484478019,20.41914266704038,22.81665353588692,20.981836884454413,26.886749705381327,23.524807850882954,25.237267417459126,29.11847507152909,32.83631433181093,36.193392644727716,37.75253659081729,39.337745424762176,38.00448240438733,40.72974247708066,38.96468918796905,41.87436834337453,39.96706745130641,34.28097868721687,37.03763290218089,38.97656186004299,34.381709357335204,32.79819434899371,35.923617683480934,34.34105614736746,30.050252624601775,30.11998198413744,27.998515216957447,32.03151860370354,35.08184420443429,35.03394925531591,38.066586057450984,41.08539427191572,39.25584997776666,34.82723645436699,36.76875640400742,38.477887462426565,33.970439364453654,32.03670299128103,35.01873617933024,33.83354212149687,30.01195644523752,33.852503287819715,35.16031447157028,31.256014527035084,31.02976705567533,34.57811492851033,32.586165124124385,35.29666042708015,34.358955712622,36.91567592638508,35.00483600960444,29.6656674325948,32.62016584978557,32.9797497313111,29.650719538126463,27.987646839107665,33.01217695186426,30.765116884518857,25.558855552613398,27.87797427882075,31.615540733063952,28.68918146902487,24.747889959634005,20.35653549351741,22.484857190069196,18.167405557188157,20.91543398336177,16.238753258555747,18.26934814549833,16.31893397600012,12.717039871715805,13.68629606777459,15.01175726253174,16.18483757706869,19.951660347818475,18.42823459952774,22.332454624536794,19.98506938752051,20.75443465151113,26.056034305085788,28.232205952241674,29.460921041658594,24.313290048029103,24.539435142305003,28.011136496264445,25.523877146860787,21.538605634078202,25.31789641128033,28.168425074659538,28.63892609687243,30.00513471987757,32.0064195772167],[17.24985229504193,14.859821622279096,14.127274816032891,9.002548936338433,11.52480850838835,14.242123119210774,15.447976123875469,20.06069903225949,19.955894036713318,20.430918532051678,23.74364091134602,26.602286931839103,25.007870507060517,23.34138812376852,28.533398856046166,29.551514007423403,26.937924637730845,30.969079777903627,32.06494021979247,34.386117057623366,37.01868342125903,40.05966796832789,40.57624804151534,38.77449288955353,36.365544494628594,32.85484648154721,31.15346823743964,27.985677983430822,30.127229500716485,30.608678378270906,34.83940809058495,34.196935725194564,38.195826075367016,41.36866644587725,38.499548104097066,36.10834045188702,35.000052781279244,34.09396002149839,32.916366595382094,38.16461408579384,34.57985880167066,36.519625709767496,40.77283729953382,39.689218038656854,41.58891694763898,40.57293849223438,44.83280238754553,43.41951634516088,38.89698665456483,43.231540976826594,46.15728083345479,46.89767152481581,47.53921728430499,44.18390324335196,48.3581930727471,49.51426614642602,45.34148772883451,46.59864754723509,51.07258040381302,48.841813716390206,46.86471885017594,48.393407641931155,46.91388650095713,48.23739139809475,45.54068729648219,42.01629241145571,39.66249945842088,37.317340409396756,34.664272253284935,33.29017340758375,32.27258700657167,34.84440055662432,36.83357284522012,39.577755252287155,39.17813398472277,45.46054246595508,43.506111031089205,46.68444772599514,45.023695282648326,45.64819987812293,43.415971020985495,42.06513397533808,40.16191521219555,39.55407224505415,36.03304781762638,36.08577393227405,38.25600079347489,39.960666372767854,39.75293503203551,43.62177516372304,41.464247002974574,44.92614024962762,41.77433211473948,40.02858032708842,35.33046606431225,36.304745679342375,32.00902728603307,34.30583497945961,31.81665887522091,33.711283651433995,34.17063503189724,32.87491664586781,33.809326935643355,31.48921700409471,33.07259639644291,28.657711811143937,30.70302919827868,28.49415902016485,24.758697851909766,25.74403267255504,21.39893374308849,21.366957995392273,19.107366759378316,18.495784526294923,20.208662348807525,19.053896812764222,22.866079427189852,22.285412194621696,27.808084633380712,27.17524462408705,24.268787557001477,21.760213772860663,17.786197864894472,16.046188002244083,14.72409398841485,14.831986815627674,15.441022301517064,17.805401053328033,20.223072968240334,24.92756069479644,22.98079328548559,27.562254082995988,27.660769693758095,29.586267640973276,24.81094172509604,21.404164914654753,17.995642366816934,17.00735696712156,15.812888796327302,19.582774638890665,20.61175746786777,25.730841865323626,25.91661079934893,23.864280741165224,27.841381110070397,27.012248512416114,23.821385551854974,24.247016042099546,23.926434771979057,22.418551483607224,24.11647240338941,25.105199743410935,29.457916390919266,30.209352471795423,30.970933864074233,30.86234552177213,28.407265845924954,28.247417034233326,28.602176163315036,27.012097572927715,25.43320634823731,28.445806500945515,24.863396540835993,29.55287121122087,28.751006171124672,25.028494303453428,26.87962931715491,27.59371522465395,24.613935701102456,21.623192169186485,22.651907674529756,22.110078921939753,26.811405804113406,28.798516176563336,30.77395771258924,32.647140170371756,32.086489400144046,37.12935265312215,35.407825116845245,36.05283057789108,33.245180346239,30.15241762318226,33.214736386582,34.7175508804909,32.01945934574715,36.216791398034786,36.67360512446563,39.993516661527956,38.12246388599027,36.465268366915744,34.41902203933477,33.45221374953954,31.460047267013678,29.859170349158923,30.090951826763675,29.85939433869143,25.226091090226706,26.96766822966129,24.37961296362256,24.401053445846536,26.874027966535262,26.576592431464505,22.599375858062952,22.416154982468697,25.84612778353932,22.730514826228536,18.085021313104818,22.579435384054467,25.888459516719866,20.11880688069806,20.301557995685663,24.08323187819748,22.671574764736953,18.888090503550217,22.204853125939188,20.68304589727698,26.493727518801226,24.207185110239596,25.055281258575807,28.82924062251441,32.71935871475566,36.36401384577155,37.745344142194746,38.6817111862774,37.105140618542954,39.55200931057479,37.286038403438496,40.560861191471986,39.161844582257956,33.149600045721876,35.635456941662085,38.22080315891959,33.88031986330231,31.817330659128785,34.91748171080237,34.19531625352457,29.913098090457005,29.174877125975044,26.81106259935906,29.951019042308193,33.13659419082189,32.963393453689875,35.53701587736822,38.529627725448535,36.21096182859609,32.0533941971633,34.23657461980834,35.43513746316801,30.714940910337383,29.333987469909562,32.197852759625555,30.737496013655363,27.261281499069604,31.56455655428119,32.64660543561703,28.643843235708328,29.103919662386136,32.8540599991836,31.09496820975406,33.66184769436629,32.4159792638285,35.40921492603761,33.935125365361884,28.347133807985365,31.324303274012454,32.362861349113174,29.146410581049235,27.214291438942414,32.71919444059033,31.125898070236055,25.72032044340595,27.809697853208025,32.15954949492681,29.78978839705941,25.776445393856076,21.24991335594793,24.440691211256944,20.34370680862122,22.51903550977605,17.311529322027255,18.076380140495413,15.069131582979502,12.804041037713676,13.709839280580777,15.96739001178602,16.217550518952624,19.1917834432515,16.27820803623438,19.885717539595056,16.618025679429238,17.41252480739622,22.40352802212811,24.82677139238295,25.448199088774366,20.279836411892575,21.138247664091914,24.276366017548117,21.140324570428287,17.735761313269194,22.0032807817929,24.469987274475297,24.72587838981524,26.009938211206293,27.949497164615785],[22.085128409827497,19.46934801192699,17.880050789376,12.918986577272467,13.249478403058887,16.857691659679173,16.88221581349902,21.461609607386578,21.356906928496493,20.71585823554322,24.106516260034162,27.288963079884937,24.625409312789873,22.88144117392707,27.985581859453696,28.767237478865066,25.437131320543294,29.0618052852903,29.40671005862144,31.668141694628368,33.925355105435614,36.73576531510745,37.00393411648035,34.88887987916616,32.680560203602326,29.435698230710695,28.01478571550222,25.31087978219541,28.075046548387128,29.220325838653626,33.66544454149686,33.422853329490664,37.633459631463694,40.30520306609587,37.17330859289791,34.321176558216955,33.485940599244834,31.662284191448705,30.167429902917583,35.20380049837268,31.268623787054285,33.26753369168877,37.45905379766247,36.18140356072837,37.70909885639808,36.47607812672988,40.78849031602036,39.74288434891817,35.198174362060186,39.377943224306804,42.53421641447266,43.58268520072531,44.229472026951115,41.247099393376814,45.54140351669609,46.32977243697951,42.169991891618864,43.83579945334419,48.13139033404689,45.46840390199599,43.629697434594725,45.52664767054093,44.3960533075965,45.36012971460397,42.42979870182616,39.205770945040314,36.893163801504265,35.04055878796361,32.339266635397244,31.608535443338237,30.37687248667873,33.04827869323786,35.17045257651264,37.394064245707085,37.337258547445714,43.52118576486158,41.30187041916704,44.80737906626362,42.93882371090062,43.21782474991875,41.305654915441444,39.63916070077096,38.274720398912685,37.32844568349363,33.43015860256621,33.87384071642846,35.82393835352513,38.16374260731037,37.627862610598406,42.042753088866064,39.87796718384491,43.4574384445406,40.65764091292573,39.297539541822495,34.73861204532841,36.06799834792315,31.91756599736966,34.26820208870596,32.12188627454173,34.6353612060457,34.14032724748263,33.22367975018732,33.28028332868462,31.307976685789335,32.207233374702106,28.251488990719444,30.530382379688653,28.06768567860143,24.90968771234504,26.075493650538814,22.024498738718208,21.007810811972785,19.200588259155143,17.40449720616922,18.978449870129595,16.90074435137093,20.453390939742487,19.031925064958983,24.665154397194787,24.84394070274896,22.00834865274127,20.075099249091174,15.553674695249411,14.508275854235013,14.333336704613794,13.554331981757914,16.018668026027864,17.242031609360307,19.781663276682693,23.97378905498499,21.943690033486586,26.558881695198423,25.82116645256052,28.041026755387847,22.725153800459566,19.405000596975846,16.056031424169323,14.291872924852505,12.50684918859816,16.27571108674459,16.38340119604808,21.458734552673096,22.217721807556938,20.518444217809897,24.68365546433198,24.539065964957523,21.519640229267644,22.844975015978836,23.07342710932934,22.44839191479785,24.787521346593053,26.398351902210514,30.893152319057325,32.40455531290158,32.56076711881042,31.856221141365832,28.872792567669904,28.59829916536923,28.192272119071877,26.48834357359936,23.859485706104998,26.418997728721315,22.078178619526046,26.70875818460211,25.442951700409793,21.14190416802954,23.38538867694091,23.652416582858987,21.072800116428024,17.94775388173114,19.541426259703336,19.06212985202813,24.07973998669833,26.514793477558197,28.782762274827636,31.211843559588353,30.76465635050843,35.776002648945635,33.429412158177826,34.273245711983506,30.879317470283873,28.636368742650735,31.220128427509817,32.337399918930394,29.354642217243704,33.21032410465298,33.42523274432752,36.637002402975455,34.42843805670638,32.70589438436523,30.747837555518526,29.992741157583232,28.31268817824197,27.143472122588307,27.820891755893896,28.048564448699853,23.72453065675451,26.17641922922782,24.32915241918926,24.725038677033226,27.821322018861846,27.925670251893983,23.851812819907355,23.961780907241764,27.862229740711122,25.145128140871932,20.537978187554685,25.238079326314207,28.915417439854135,23.596550547282906,23.910779375837354,27.844271598871988,26.70742342264383,23.207180941026053,26.43278965966658,24.50117590438449,30.339948070618156,27.228264789492187,27.96246073799027,31.946142729220536,35.372960451964445,39.1973353865777,40.12856476141988,40.96659956002248,38.981143856415876,41.145107490631105,38.62543682067642,41.519199096172876,40.346610628809984,34.28971124537742,36.299243275715725,38.6557515909174,34.458290290504834,32.12122792384997,34.69507949362796,34.03689441512738,29.993027832908567,28.486109193240974,27.09365676898765,29.966561764454482,33.44695801416004,34.02340768220686,36.537875694169735,40.017052705357216,37.468176537512456,33.28086676833277,36.18579521278159,37.44738165182538,32.60960532822898,31.63964217876569,34.94707017470573,33.67947446250703,30.344265419320465,34.70776738818194,36.100588474227926,32.40374303924376,32.784439883038175,36.4300702617676,34.39399642939428,36.548979547603615,34.839115088896676,37.60889139928227,36.62758210452636,30.938498446292474,33.253381056726205,34.47514223273787,31.49814123415961,28.87972557071959,34.16795108088485,32.94062054197081,27.42847862209139,28.728084217888817,33.17672867148454,31.144955359549826,27.085073032465115,22.963671369208907,25.869303561421088,22.184196704436857,25.15813566471854,20.25684893471233,20.970974391870175,18.603241881437032,16.1635553891641,16.106372864472892,17.567006677301237,17.155094943052546,20.452661788887273,17.386818975338766,20.333476176910004,17.076240947025532,19.378705168223856,24.050993781245086,26.988763617131028,27.48824713656351,22.42794534713552,24.12920861091612,27.365563487200834,23.77056989808566,21.285214466251645,25.820167322409866,28.209351456675748,28.398502851249553,29.512671606297978,31.299325991959353],[24.67352544131212,22.58127704468997,21.951064528291486,16.452327127470287,17.943591812760836,20.159971619613255,19.941346890879846,24.414856037645265,23.199156986503144,22.08887746610547,24.96347361993714,28.675644503563177,26.173264687522025,23.416644163836914,28.492445604851095,29.82271390647722,26.41542759505232,29.602604085519392,29.38280337547454,32.351109032247635,34.14118890492972,37.32639050729107,37.08922982126256,34.86948517409867,33.23857539809872,29.76737896042097,29.100411369510876,26.481277311191683,29.329579926364435,30.889990758714497,34.38029352747969,35.049006821616956,39.00444525934491,41.4611245202355,38.6821920795308,35.61889454133554,35.523567351757016,33.41684815929079,32.22328257145002,37.61967876903051,33.3845893043463,34.52225493156195,38.86457111958669,38.02977070669816,39.29557688281297,38.30833518728917,42.67200621425182,41.77408066638587,37.61040957098717,41.96590470889509,45.087392652495666,46.42673989489555,46.70749257372163,43.93896210392762,48.055143366055425,48.35646405920635,44.00919227965061,45.65253185291369,49.80552577318306,46.95855971400778,44.68018232432638,46.36389065491051,45.18291434866981,45.61211731420931,42.90456356536165,39.95941800648469,36.85583696234322,35.21957522349273,31.823762227852015,31.139073861814886,29.404473886335435,31.51192126517527,34.27432655255404,36.63110217689706,37.25614313616733,43.49719757185716,41.84952609843176,45.5641694629096,44.110912256956546,44.67187586084734,43.294874657995514,41.99794772732282,41.09954749583858,40.44998814634688,36.31940857532309,36.42069813275128,37.73629986211462,40.25080027332197,38.924921269349376,43.26169962601319,40.56935036456872,43.69628468423929,40.927928033032956,39.86065367478781,35.35291694239032,36.27037716976013,32.15812680131774,35.41358350665997,33.674223995513856,36.70466360595417,36.38158542402734,36.29949374721109,36.2481551010217,35.015032356685474,36.350736412582656,32.63248758642406,35.33598140219264,33.14083256855547,30.047128009969434,30.793233820662714,26.614041698765313,25.148654584845996,22.64845075093962,20.648876446194564,20.923843717167305,18.610841068211784,21.561674938339273,19.663209154307065,24.5350780272691,25.038076636214182,21.77723008485306,20.248331221304156,15.842717668575348,15.872824969846715,16.56571270483206,17.17420115321011,20.31567134706194,21.844401010038247,24.77024799544306,28.79572398236478,27.253647852750966,31.87362755032676,30.888948178056207,32.86716638397735,27.505070316480555,23.929387351538825,21.20377499157754,18.601039679789743,15.893398719028951,19.1013901451368,17.813253928785503,22.626452680513854,23.36163041637742,22.38501470084673,26.709279170017474,26.619649442917243,23.825630700421936,25.388240974077448,26.26312617999515,25.368866232543052,28.275245569774285,29.20607651506636,34.05586980735616,34.97664030434184,34.788270003804165,34.47444354603053,31.36504675546533,31.79600925921079,30.944455768176194,30.155127596420815,27.51073487092457,29.263223687429146,25.054578537781264,29.631549641024332,28.79840039641898,24.325879886099273,27.304406994775274,27.343645034549926,25.356496406706892,22.015583672893275,23.928479209821166,22.991232805590265,27.921058408069666,30.278093410632128,32.249169513638215,34.7645291908488,33.70162016232794,39.0238964766936,36.677032667046895,37.95761054875409,34.629572580472676,32.86437050584116,35.67912837044018,36.78367597084354,33.54363366170478,36.838893250105556,36.46079301324531,39.717884614674965,37.62327100649091,36.04175577567721,34.39585206366171,33.905097166863364,32.691348393122674,31.87298377083195,32.84679312994961,33.35408103213688,29.158320240695204,31.75422149391392,30.005416220443102,30.251848827383714,33.40149940415918,33.27456496371335,29.172127097993844,29.436058446406562,33.185838863765845,30.180777734215006,25.68415127554593,30.329760329868183,33.738285620316326,28.089355742078013,28.389512796650006,32.19876514946939,30.689037370864042,26.95909860389429,30.2584520288764,28.69150323543163,34.551496025992584,31.77182983459426,32.82415492980573,36.72150621774485,40.39480030346321,44.05324231378777,45.27102624602827,46.25039792310112,44.423246209461595,46.67319507442449,44.175109362250645,47.161225277155964,45.95310302474749,39.90569385195349,41.96677453806191,44.33373095236091,40.10338791926647,37.81125162331241,40.36585884591314,39.63060207608452,35.59110394287405,34.11513324961035,32.78705339292944,35.571073566801694,39.0707356213409,39.56479195424955,41.96313776592537,45.33411942624263,42.640640308376206,38.59358625007923,41.38648727872845,42.40796617829898,37.52331409698291,36.65453084016895,39.67126182514432,38.143970511085016,34.9115177365396,39.38275181532507,40.44583788107373,36.43520926173572,37.130436478820684,40.898833687400206,39.11198941978432,41.51902844228752,40.002405825068806,42.92304376284269,41.734345390672075,36.08245175567556,38.67090551917334,39.80591701442047,36.70949029891888,34.348707724740024,39.6544433166039,38.182825866551845,32.723460117761164,34.25328738863972,38.55345605438406,36.2549636799342,32.209631651456434,27.99148896298433,30.520104911770275,26.543913003271783,29.501278904553654,24.602768213390956,25.773989110858675,23.10372808277243,20.472069940526946,20.99902844934863,22.51053890477708,22.543692158319903,25.96862607248202,22.91306903026233,25.889796191384402,22.326199193848748,24.328741865443963,28.870341720772213,31.755227415703885,31.81502333435857,26.78158036298094,28.473201845425994,31.30535869832935,27.36537883545374,24.860635056679783,29.402865832286544,31.35417354462304,31.222485042849584,32.254166168789965,33.91668011761883],[28.43347826123402,26.263970219018532,25.38397127762736,20.025371509483637,20.896795735798438,23.56161136387337,22.999286149844107,27.392836060770037,26.203886383274504,24.585766914032064,27.38513176032642,31.231938242003054,28.212151412086357,25.38575745246564,30.269955598276088,31.48908897099118,27.681133362879695,30.43161875777806,29.514209556363802,32.49911489414617,33.84294375732636,36.834650360810706,36.264162689833164,33.73136451089721,32.45710396720768,29.272644512556028,29.019722300401053,26.88656515427342,30.157642427814725,32.20121441356702,35.66407889469723,36.68559583827374,40.69807477972999,42.776346748670356,39.89026392469338,36.523226538591665,36.69434883528577,33.92034192317747,32.52272769831698,37.66001867145761,33.17213576597306,34.246792874310124,38.47930493959466,37.52319699906905,38.369290235878836,37.18000437948299,41.54132452706008,41.057729820948246,36.95490103570818,41.0717693262761,44.396312838114525,46.02118043127846,46.29711533379051,43.91584487215974,48.08156823218474,48.03055523176651,43.729967617388795,45.70994582388325,49.65467030333324,46.42778979405044,44.24556354814578,46.20919627754458,45.32679136837802,45.3604572140561,42.514079608434606,39.91558510511725,36.749815926146404,35.59035619832284,32.07848070431214,31.921650130623664,29.950245024538734,31.95153088999474,34.9213026647265,36.862615649591,37.887363254648,43.98420509625986,42.24665590721313,46.20303381451349,44.662192249573145,44.978335111968406,43.918812437942904,42.415312711661855,41.96199239488473,41.06862252805718,36.70192385953308,37.09965023534439,38.178228102928784,41.15395262805853,39.52504671132784,44.20451004700368,41.470198711400535,44.57747244840686,42.09375334090735,41.341313748512704,36.99109301496229,38.06099205367779,34.106327597957474,37.449964238119236,35.963828257277136,39.31610714701938,38.48966202764697,38.634706086066,38.085576847963985,37.05751609363445,37.94040078033851,34.52723156181578,37.2571458700834,34.886857198988395,32.1299455140607,33.0520976353708,29.090021787406254,27.238280351115247,25.06788730469867,22.521890251004507,22.65351829322776,19.818788578839673,22.347410684031388,19.735802358367895,24.341717626197987,25.602093712257503,22.43015152227143,21.485457596267278,16.950086763802297,17.625620111836984,18.977369350014445,19.10717251146095,22.929234026325616,23.869689800769212,26.699638135348934,30.37369943280342,28.671842403024307,33.19371000262883,31.723879571635493,33.95992075163207,28.353511006614244,25.031700470185505,22.322574512251887,19.501968632535178,16.568689079155273,19.484768457891366,17.148615076024317,21.601703686750575,22.937739278721665,22.455621985380247,26.80322461841574,27.290488856429082,24.742328983960306,26.889047016640912,28.092095966803353,27.703696152592723,30.858272709351642,32.08154291511813,36.93916394815389,38.18597672273319,37.7397777801932,37.15579836559623,33.81629456927038,34.18320586387003,32.92926424191516,32.0798766895316,28.85181623414041,30.24242133014918,25.588983622592732,29.966857713160415,28.742614452187446,23.8532890595269,27.04389322379227,26.542522039669084,24.964373757366747,21.785680117031394,24.12956982932082,23.379841360210694,28.383537758523772,31.03497596576808,33.18855816158276,36.04310485629699,35.0764131016796,40.29689638691182,37.54295714192105,38.93645707565076,35.21966788455892,34.079882865889275,36.45573493407577,37.22153903784544,33.85728678733366,36.8413259447343,36.276529038469874,39.36654737736656,36.944124211032,35.30134242690542,33.73947778349521,33.4369341040198,32.4671519097251,32.00459190817442,33.23842927721487,33.949008258752166,30.060786022068513,33.021847549317314,31.648559956164018,32.23998453414399,35.54818036866957,35.74048231310738,31.651968385061295,31.848807003849227,35.80819155069363,33.08855558356937,28.467052121889342,33.11519112715499,36.80872764849443,31.33951656602697,31.539213035721005,35.42346099466517,34.15206312262082,30.404151800963845,33.525781410881606,31.733052443098504,37.63944078238499,34.29892899800171,35.47528999010196,39.483809654278666,42.91259226450527,46.583556081514445,47.63029853398387,48.70729481685787,46.740120940022926,48.90772540771695,46.398141768264416,49.10240922285662,47.90155686569956,41.92894053502283,43.79977883205418,45.88846187466181,41.70140075926416,39.394425531026876,41.652859390705565,40.75557087872277,36.88549928078207,35.2056315072517,34.45319641134717,37.265778902084605,40.8578493831816,41.74968100751723,44.20237079226419,47.80771004509721,45.104297909789366,41.00389173456355,44.081577452808325,45.22972387106259,40.33743544365531,39.5461325237198,42.78255248840231,41.387840222149116,38.14092326273431,42.56172314555208,43.80396973419769,39.92393990642728,40.458755099734624,44.15714255550058,42.200450306539615,44.460511236442564,42.797291976399464,45.52510084096401,44.47211126180733,38.82518891425317,41.10942750525983,42.18302869751327,39.17850918208865,36.57033966628231,41.64500090339122,40.20984417018884,34.77616399869754,35.97064734673059,40.14283412513602,37.89960988918581,33.88690568172031,29.931515298740525,32.05840785486844,28.286750379355336,31.68452334892083,27.059588067092953,28.429858148238882,26.17423109650162,23.265376620803874,23.448960871199773,24.46483945381344,24.396232576728327,28.066819504221147,25.247796096498952,27.973484250781926,24.644170986602816,27.208137046188607,31.671814048536888,34.72079253763841,34.84378629715725,29.86279116601114,31.766843297073297,34.715068392010245,30.70394545051053,28.422799878193818,33.01125688480339,35.02417518926699,34.90265403564815,35.878908717956904,37.491911289135494],[28.5133979951434,26.506223615477783,25.787295041581174,20.121882635255247,21.018300388424258,22.48464262875481,21.354776017823706,25.428295660113058,23.530394448225778,21.459103296459972,23.85869901863814,27.9343282757204,25.0053349896117,21.669226202056944,26.41363826678319,27.922643004529792,24.238130626873744,26.804236739339313,25.92047816171992,29.294062814597808,30.627114781717783,33.990818059012966,33.38385243976086,31.136713974183802,29.936452343125087,26.38592731927432,26.35186691217005,23.99544372267909,27.004357747806356,29.098572973593605,31.901029968047496,33.38938920555576,37.17615007996581,39.18091167424398,36.58719053720148,33.245061955157354,33.82626533925877,31.237124336484094,30.254625737145762,35.81578831533596,31.377950871475328,31.754044533057087,36.13412725255604,35.688010075673226,36.744342346803535,36.06589363492895,40.400985289975985,39.5592894542086,35.840346980572534,40.36410695804416,43.33777151320067,44.91403659097503,44.821012499881235,42.28927177872236,46.19247038814301,46.03013771156199,41.57480152285991,43.223590939093604,47.18443462262921,44.18579027069869,41.59685503376028,43.15508597763636,42.03199389547441,42.003481811920835,39.436543173541374,36.78370209656021,33.196654295716655,31.884850911361063,28.098657433652825,27.737855229838022,25.64848499613176,27.45316603208227,30.564808743843688,32.724442138983775,33.88731749325612,40.029243755225394,38.67224979712314,42.59514000503104,41.37865998734658,42.03796931022479,41.1937134003372,40.14664213147753,39.81223585231038,39.368050388501636,35.029935473301165,34.89432128050889,35.58504871977452,38.38263716805088,36.3576680406074,40.76502450614479,37.74943394759157,40.58666711872395,38.050698597753914,37.38842544807278,33.0926804961934,33.94384211808702,30.06297189458123,33.82004042977873,32.611947093325554,36.30223025589961,35.53388911986069,36.31628839187533,35.721171047563914,35.334805502360524,36.77123452102653,33.58191911353505,36.7984545904561,34.899202084084784,32.21157898178513,32.50393444005305,28.483250208564506,26.16197285999202,23.405145796618964,20.82823001284738,19.952093098019432,17.251625240069306,19.36897972010666,16.973438396166685,21.023290340431114,21.992476849177297,18.619617627382674,17.765254290893477,13.606351604355684,14.838768912776578,16.703902417315614,17.939299376943808,22.21273886319313,23.42234300626009,26.680957691667754,30.171221899276443,29.366503172531157,33.892065490571625,32.445091130349205,34.004154060957816,28.677229937877165,24.899083564352477,23.178235358157735,19.558605006881137,16.08468358649847,18.418938167329596,15.983835813242544,20.26240698527513,20.8409421113857,20.56568219550578,24.839849160734552,24.934306549898256,22.525533540311553,24.527351690901813,26.139746326736248,25.499917445615758,29.080585361457018,29.817512748805814,34.870792169374454,35.86739987934906,34.9988023380022,34.57186522702223,31.14583453792402,32.048269179748715,30.462762903340213,30.433431740501852,27.477505006710782,28.265566253017063,24.194629931350793,28.526909914187307,28.182594113811383,23.831962680106326,27.53564520161547,27.62958907874218,26.40433651875749,22.75539570009858,24.792691341874285,23.24549111154738,27.858333580798675,30.087278101065195,31.747857433589207,34.434999107756994,32.87751846955001,38.33347328581318,35.84812925069451,37.58359392240057,34.2937438511053,33.262227435659796,36.20546090594044,37.273226743460356,33.76223536199951,36.314303049022485,35.29405886922655,38.56360306899162,36.75629400409899,35.421145214029906,34.2158728286509,34.032519304625175,33.44083906040946,33.04903554165239,34.434407980834564,35.49709795054823,31.57650605317794,34.441303515321486,33.20374282118829,33.14484413803715,36.7692033617337,36.39469751447591,32.26189851022457,33.167174595153156,36.92417748412172,33.760345615566855,29.76662811596767,34.54021150016171,37.63789109706648,32.10102790351268,32.78494595698134,36.55172080273994,34.711386717384215,31.303357343592275,34.907501853671164,33.46648082725126,39.24452091533199,36.73519003474703,37.512620727073596,41.37725400369689,45.010763484382096,48.77266903024127,49.83913659652596,50.53330602618408,48.49204865635433,50.496252937660394,47.67141925967047,50.66991658982781,49.81382958933751,43.66513738933657,45.3711842385722,47.92671281623122,43.92035399908582,41.33151380944427,43.58126693207613,43.270326708945156,39.4080114452062,37.24938459856812,36.302517138202006,38.422004836789576,42.06426500601032,42.80100828786424,44.84228323001694,48.330821055071155,45.23939936035753,41.46325572279179,44.61775230846226,45.276963735416174,40.295611429589556,39.96313875797923,42.936148260497085,41.26810606325638,38.38092299287742,43.069738569637614,43.99790138170501,40.00344275545979,41.11075654732456,44.9319664443578,43.26266579866024,45.50661311237013,43.74410450851298,46.80473379168654,45.958941969825716,40.2319822919571,42.630730096023456,44.10503537753617,41.140806494539675,38.516164965628114,43.88638701446399,42.77085438951466,37.260024480183304,38.445292689484724,42.941770138194826,40.93586184377827,36.885940267465024,32.77705369454909,35.448782077227094,31.626821839814045,34.61733917770911,29.673038587251323,30.523070830128383,27.64021916654524,25.400412610794124,25.78766672914844,27.339550662991783,26.982045298709604,30.168298976171954,26.595436317469794,29.042174727634464,25.085550102393935,27.5328426303168,31.526739385757374,34.65751665436818,34.13461098459255,29.345935194407602,31.666166824867805,34.10243845650179,29.583852214981444,27.906121556438553,32.63282087880194,34.10384380937904,33.66516599777202,34.47289208192083,35.89987388882697],[24.830224143337208,22.50358858131811,21.251593021781936,15.741939662985656,16.08934818461013,18.169429317302452,17.19113958887316,21.489617812697535,20.293588587670932,18.676343698874867,21.618907048234654,25.34876308068289,22.40888286674708,19.802817565366006,24.81548823838627,25.95967471193542,22.397818566161888,25.588664322045915,25.459801041995078,28.28999152673662,30.219281109241223,33.389266048010825,33.326395584286814,31.252085164255718,29.407695604247287,25.872937273252692,25.033040786006268,22.342165200506926,25.198019050937493,26.814968720466542,30.460328857434888,31.100470387161923,35.127768445555915,37.48052356861351,34.61208506012965,31.50636544710388,31.40656856036225,29.252054371578623,28.090806367538008,33.56853217931758,29.385368734364693,30.48502731860625,34.84954842413663,34.088754801375536,35.52250989205767,34.71016496439055,39.05817325442406,37.94126644417017,33.85254805180739,38.389555108635044,41.34773669561449,42.61771379715221,42.805690377008325,39.94075935725994,44.001149622977756,44.33947325632644,39.96849119028739,41.52810930680578,45.71606883067353,42.978564964414616,40.68224751049849,42.32462299541837,41.11885306645286,41.68381961550801,38.95827795216841,35.91295999201934,32.96765009575192,31.26377534527351,28.061714686160894,27.43197063012219,25.848631548802803,28.23001174519124,30.732787329432163,32.977753172070095,33.409452224972625,39.631548328393464,37.82359304616271,41.521481088423755,39.99098785114235,40.52614041948726,39.12634045429293,37.858944302717454,36.99980220276222,36.41985228008618,32.2831981590087,32.29038859581477,33.57400447533928,36.09761361671563,34.78796688289842,39.18029778244288,36.57191590638544,39.82028577822141,37.1150188991268,36.07714064976355,31.60975371132443,32.74882847788197,28.699483280484074,31.759574730236487,30.1097649168744,33.34861474711309,32.62637904114393,32.72627524018303,32.37953241877257,31.395299770947414,32.71748194035976,29.23025540927363,32.2140654748184,30.207756535949965,27.363184939138755,27.82536910143671,23.76340630006955,21.763939562603937,19.248545556717417,16.882699944444763,16.948330461005035,14.480325095844096,17.41772869701008,15.613495003940267,20.657829273981015,21.04992882292596,17.892896915395326,16.353050768136107,11.82020520078474,11.902673580203455,13.004157785669783,13.59536411626255,17.496267202895854,18.73364835667032,21.894488922622784,25.627314831940637,24.634045069823415,29.219828487630068,28.06673769745304,29.67255721602789,24.40403226927142,20.601728721484175,18.56910422272044,15.310612956407123,12.247463583259,15.220864626865561,14.143318294144814,19.029447770641223,19.425111566992822,18.337327300232307,22.640199820029224,22.465028155652828,19.693878202000402,21.362295407266284,22.439834425075176,21.788641303963505,24.99811468528412,26.1167657980736,31.013094917439258,32.33317387319205,31.78533353629794,31.161228852111808,27.84323688499726,28.284137990428054,27.12610152219664,26.479971736830734,23.68066971010965,25.191605387969165,21.080152767392047,25.650314818242556,25.140386220194163,20.962145112831948,24.188313911513916,24.647524579341116,22.888368515565436,19.21239562389271,20.933090906801716,19.529051978107475,24.28026286195729,26.491553710426132,28.317496118045618,30.862562863140248,29.68327619800548,35.03530913328128,32.668699755286795,34.07517578765057,30.840380694246907,29.242264796663292,32.23651750255472,33.45082038564863,30.112199606968147,33.19399435219534,32.654883978171576,35.99417212222644,34.20499054599734,32.77495557062781,31.303193760610565,30.865397693553604,29.88099848047892,29.137429350590146,30.271652195491523,31.12592974178575,27.01680839623813,29.690194338265396,28.3019571042505,28.168720564057967,31.759480967183208,31.385326407433755,27.24812416939574,28.16479756348812,31.938099337024568,28.826316652422054,24.870570062572835,29.692019010762948,32.821281963556025,27.425798370355356,28.20288607748104,32.019224965445304,30.293544679246367,27.05900190080973,30.719759159278865,29.14528694063758,34.88798501450478,32.400823915671666,32.905161719322265,36.77449959809368,40.32857286944046,44.2045302092713,45.129180946608685,45.67095284926916,43.567548517641264,45.52892900875873,42.671979819714636,45.71442147127515,44.90254026885794,38.71553421789913,40.43047423939838,43.092997917526965,39.11457941187753,36.478930488321915,38.82426055272303,38.65823865416689,34.74909663625017,32.582669026176056,31.417609661452687,33.51969859646349,37.134887720595955,37.797388624741934,39.87126121942689,43.36098208973233,40.33664290669152,36.4932068790431,39.65193434706267,40.4020225585367,35.427886847361975,35.04108749494539,38.13103892250491,36.56981837893663,33.633624966182424,38.30308153564903,39.378538291640496,35.52818480375575,36.522852991625435,40.30143923272365,38.53668601316837,40.65854423780337,38.801964180981834,41.84678237024532,41.11318459515357,35.35643981170757,37.6729358994814,39.25322952502545,36.34776718736478,33.63117373328676,39.07032702378032,38.12858965641557,32.588028727293846,33.71570050396031,38.35961370496225,36.53037874828012,32.473158279836454,28.356468211188577,31.402626878369475,27.709386507678747,30.552631251434587,25.513161064284326,25.9749042920801,23.08931624178334,21.13101482068703,21.291485463047096,22.99649134190274,22.364956604631413,25.330173856213328,21.5840002542779,24.032022064602305,20.082440393256242,22.582326433645868,26.65462423581075,29.805394920362513,29.4921154389972,24.63600772574306,26.972801384625765,29.61465052622243,25.25139276197859,23.558499019040575,28.3312621608259,30.04866318937109,29.81433991176519,30.713189573902845,32.25657798580054],[28.339878850558538,25.727767196337137,23.846172166858807,18.839669562556765,18.02373815081268,21.391053027464878,20.205998088089004,24.409889292934487,23.8417530663093,21.85782413154479,24.937729752500235,28.538929179252012,24.841788244876582,22.708130495469234,27.44202979197298,28.12360661052211,24.033823483771233,26.830185142382394,25.990795774366738,28.41462476945036,29.965257301174997,32.61740334333329,32.36898722692713,29.860411730099287,28.167143503394776,25.198505882220726,24.508658571487263,22.520648500277403,26.00286301835059,28.101872389588333,32.261477997360636,32.88069807292538,37.12521612138602,39.06469711376034,35.837419051949226,32.409208327637025,32.25999744607893,29.253980565617113,27.56923690849638,32.44366877408559,28.01142447171068,29.593556242854056,33.72496494173328,32.474325177503346,33.433282043430324,32.12254931199854,36.48589976344621,35.91242373749421,31.619631810967938,35.710866672817616,39.04394825554132,40.57901250949598,41.00198851135798,38.58080433636541,42.85444824827298,42.96675002491251,38.76233400080171,40.859962476600124,44.84138835821566,41.628762459527316,39.7473383412396,41.954494158648934,41.22109209671901,41.52958999114457,38.44654498964612,35.73640173477902,33.17875076200107,32.04857192341387,29.08628802125629,29.195899031171113,27.561514092449702,30.106148379985076,32.542698260798154,34.12144229510499,34.731282365409285,40.71582462236981,38.437599398076784,42.367888204428255,40.45872499865854,40.458716764236854,39.20011592371403,37.383462651355906,36.90879920201037,35.76422746602343,31.384189490523358,32.077540042075086,33.400207655796265,36.52344022602264,35.241266032584036,40.19213416536454,37.8331175937504,41.315155667080596,38.993729551910086,38.2306009302407,33.96179300799376,35.52553914439633,31.678364959898527,34.36260551994838,32.83763933506017,36.201192066481326,34.71354639677003,34.645749732462846,33.6576829170709,32.52928176819747,32.90511130064765,29.737795722536745,32.47924777619129,30.040367524116697,27.673197325689834,28.664878688237085,25.029392015863976,22.75653185038993,21.171386338009693,18.122182687867944,18.741166186576447,15.589547572544818,18.22268682913035,15.515612738651528,20.71529450868189,22.092531682852787,19.328867482376996,18.43953712501522,13.66672959955561,14.13071345835647,15.704810919147226,14.739430918277831,19.21938054524419,19.36999467132312,22.108128290567784,25.37452689825802,23.805891616342354,28.225761573094996,26.44992712457679,28.64106797976334,22.977380089209873,19.747378342590217,17.3374246651472,14.179724801897835,11.208965686401307,14.113015919280748,12.023925983996591,16.714324245080373,18.190942985404995,17.424127816429092,21.739620384974533,22.48376756893861,19.953439314620315,22.417853308143467,23.60693180419262,23.868811065319186,27.067178401615482,28.946304651204102,33.61767137711041,35.64743104650932,34.98611099985312,33.81412060039451,30.282026740348137,30.22803682617795,28.764600494521172,27.48507637584994,23.791353111745515,25.2350714166808,20.265389383739578,24.59333185382932,23.128181310144537,18.23365009770354,21.425191582029115,21.122640452864545,19.62802166760291,16.26157660727007,18.59339441793045,17.793562498635747,22.812198872015532,25.58880346639582,27.91318564802001,30.94421353537905,30.295013637035517,35.30288735768578,32.30468026787155,33.61321506351276,29.704839573398694,28.793818176183812,30.946920797453657,31.630834674032556,28.231984161392276,31.20674188024192,30.752606981972075,33.82786680513255,31.415097543086958,29.762705689129206,28.194642454846704,27.888069033799503,26.982468003651174,26.586377283925962,27.965863663312494,28.966725559273044,25.25653581477768,28.421036114633786,27.53825887655304,28.05314160964799,31.78336844537179,32.039188917440796,27.979789350852005,28.625997684981712,32.747855752452,30.24056959623754,26.011668247990976,30.787890734806037,34.47535251000077,29.497889241424883,30.052243382829158,34.006669799698976,32.84013784647411,29.612694793328718,32.91529051069033,30.867547952122095,36.65860971733286,33.200730846329954,33.7974289803822,37.84948968702613,40.93529960711881,44.87799640088102,45.44630650478484,46.104120135718055,43.75930141965273,45.58420470567206,42.751843736343616,45.31788342773698,44.49514075069688,38.44975082696942,39.88775467876521,42.09830087102341,38.18769529184604,35.547017845773205,37.472352979038696,37.06072121013914,33.39891907016101,30.96694581074994,30.632598857056124,32.88108407785957,36.60048968635696,37.87772539816442,40.12159644485287,43.98389039078916,41.07831125081159,37.075519178844914,40.6457569177004,41.74079307897007,36.82169445389419,36.42860967014642,39.95503531025168,38.73166699348863,35.69367979251544,40.17694987675229,41.666403799980316,38.14942903002497,38.707166032069445,42.30715309374659,40.182566028510394,42.00007951229925,39.89190038506902,42.54979107921989,42.05993279107461,36.3359855623223,38.09703018221769,39.57055892279081,36.84758913923212,33.7036936872637,38.75621087616607,37.937519562606866,32.44308726391757,33.00371828936283,37.486896681681486,35.833761950859824,31.832940387710252,28.151229033288622,30.744593384890653,27.461119688331795,30.925053783001307,26.30281083386779,26.93315952616796,24.83369982238578,22.47562719228631,21.949578373046933,22.87715618801209,21.967983587696786,25.25648124854937,21.991305861276548,24.06322743998754,20.73431805925884,24.134238726376342,28.172035717726967,31.52025643660664,31.585827291605757,26.816365139419567,29.32920161854162,32.34857999968206,28.172777281462672,26.6626873145862,31.413725489832558,33.466964508669236,33.42111885163044,34.2964382202966,35.843972986445834],[31.435348171713734,28.977990613517214,27.261597179062438,22.02244636740011,21.203793977668393,23.752694452697803,21.98197736935294,25.850255611290535,24.64639687358751,21.94385206887914,24.568366072175195,28.461518846169508,24.481572442596335,21.82559385101186,26.225794066995615,27.082723875043165,22.76076130247627,24.93740919802383,23.39752731070881,26.222617336406316,27.28599203968244,30.106750278863437,29.454610393104325,26.857396960891755,25.6279468823698,22.593476873309424,22.587467471522103,20.907497869261988,24.570425367570433,27.183284053817378,30.66772949888857,32.05406079053464,36.119147679804875,37.64711474398831,34.608734419669425,30.920950071003634,31.42528071800669,27.950831504369226,26.4697664665154,31.49642423984662,26.84502529919145,27.656580120240797,31.8311693673986,30.958176335222543,31.673413343366775,30.64921302041198,34.99879462976374,34.51644778217908,30.664765383610654,34.91196848502438,38.11543833676606,39.898949714929046,39.956063944373504,37.78767269673629,41.85417091607139,41.49769351561654,37.183466329763014,39.30453353429891,43.09462672878147,39.70733691279232,37.51957520981486,39.62730894856388,38.96366159071581,38.8070199754541,35.839969412870374,33.433371087908824,30.391955080858324,29.610921683033812,26.26467975502841,26.726180189655008,24.749303003780835,27.003358530134484,29.76870092117907,31.13131604595898,32.275016510180244,38.159657077977606,36.16065259339783,40.298866140705265,38.61812419744338,38.71025048207188,37.97308094618166,36.39929403943243,36.46991648279466,35.530022609175745,30.958270206893868,31.418370427650974,32.1228800713443,35.521999626094775,33.56015846652336,38.578030054168394,35.90849710842095,39.108950492175325,37.00703317958642,36.61888740959198,32.55345469351445,34.03135164878958,30.402876451349165,33.54803099506059,32.495545959142326,36.403089137676226,34.60121774584555,35.30741483300459,33.89052685543957,33.531305940855574,34.05638249417409,31.35525760317185,34.52649909223328,32.39112557503062,30.335119750208623,30.898088774621566,27.375612390836537,24.46218078619477,22.579874477395425,19.146639086643884,18.659501909472393,15.191479465804441,16.946176768669012,13.635038418322285,17.998764730332244,19.95016442889496,17.10791661237112,16.924698402334794,12.444964545649901,14.059764025807723,16.599043613593903,16.374513947765426,21.603075757171645,21.644141273453865,24.652555404457626,27.46406315878445,26.58013026111949,30.86867522845941,28.75403524009609,30.52691101282356,24.989470885345973,21.609858705613295,20.173160462012234,16.20553539514872,12.585818965691992,14.449305111201216,10.940750340380509,14.997920628235791,16.421018282401494,16.469653282855273,20.731315148778986,21.692127996557666,19.569074696641792,22.427610004908978,24.284257654491213,24.694371460120177,28.4336562005774,30.04179862899957,34.878043114632646,36.853424395566414,35.66690281965745,34.47524534224225,30.716376462947895,31.116527836838017,29.043230053350367,28.497182197924175,24.609889516308886,25.118227009860966,20.328876222882393,24.375093864675602,23.40651717584795,18.66971123832586,22.57194873125703,22.292817852274947,21.600249798911776,18.03921980343097,20.43134972040769,19.040859665564497,23.657648172921245,26.272273126045544,28.269303508328093,31.429226552041637,30.302016648934497,35.423139960190156,32.32266799742212,34.05892521130042,30.2201585056347,29.98765227872159,32.26742228454693,32.91922131712024,29.294544168146203,31.527336309926294,30.432552125322317,33.504425791353434,31.36171314664582,29.954646219072547,28.839158836204753,28.830887660476684,28.54692800403797,28.56033983268112,30.28914646499511,31.746169446193353,28.306301666308027,31.61164674696274,31.08338162950554,31.311795079130444,35.33222571869769,35.33907651866311,31.279797585714007,32.38760658710469,36.440055236311906,33.747892682037715,29.888597096244858,34.72533375068467,38.12222707793164,33.131459971828875,33.93212023088855,37.83205383459139,36.357400642943425,33.27589836202905,36.80790825992116,34.93266053195954,40.68818469787773,37.5259548785183,38.003498448232264,42.005818553900774,45.13998054615639,49.11555157835098,49.65338329165766,50.134548159596996,47.6935502620413,49.36736691177131,46.32192817194806,48.92513156701179,48.34575776852638,42.25017676190736,43.46014646541782,45.81624469678913,42.07481935430747,39.254464904425944,40.971436227466356,40.86509688550929,37.338040354438355,34.47747794298246,34.36662811515785,36.10683807525596,39.89612268837206,41.28868222878708,43.242480644691256,47.13616776119179,43.93424410567082,40.17151676530708,43.93634847125609,44.72307156349107,39.74596379745771,39.73453435614118,43.149794299273,41.77545080363211,38.992663953471684,43.640226093172906,44.96298078933654,41.38678078982486,42.287399096791745,45.95356847822646,43.968625958113535,45.738567984952795,43.51796960120941,46.31037062032358,46.00064674644861,40.24135906456037,41.95657777538645,43.642602472445304,40.97861017974605,37.74948732204418,42.85427484748597,42.22211255002867,36.71810895097046,37.1392659549664,41.71467025874608,40.20088724622115,36.20982613821226,32.55138871864354,35.195452111107244,31.917651882920516,35.34034106077841,30.64568183506141,31.15860643988554,28.79980039804488,26.659488564883617,26.24556209480327,27.295524245474635,26.278678971255662,29.389931855114014,25.789172368553512,27.539100298930908,23.89616706521528,27.41314911912984,31.047126250536277,34.51680726184561,34.101697782226935,29.523688850250768,32.41271292805114,35.07967119559717,30.482720561122722,29.48769141804939,34.34286493602832,36.00299444912089,35.71932120032954,36.44743932961154,37.823930466603045],[27.49409693223514,25.137579561768987,23.500074945866892,18.162644408103255,17.423367755653818,18.83361044518791,16.755906483036092,20.471988178314806,18.916433130028498,16.255104132690196,18.89902380943046,22.809283833383507,19.202439728054927,16.416236247822027,21.112219912275858,22.165609742102188,18.256739241084205,21.0669235052384,20.622520022552997,23.568289148360044,25.382109907406868,28.65542308449342,28.55540962262795,26.609350488220063,24.78719734537143,21.11710284921869,20.472709827988897,17.853554192609025,20.84203575541903,22.86220149915385,26.25144329214082,27.355220020612833,31.347305018518,33.33538478154179,30.4853929137244,27.163226188195832,27.46948077229621,24.96366360692619,23.963555726482056,29.62695359175111,25.37294491241032,25.97431918759467,30.397222487500713,29.94023210935373,31.4180848616579,30.954426124010784,35.264028394242324,33.973445585377256,30.218909401103154,35.012028634985874,37.7265638528236,39.06627527528408,38.9535442311124,36.1479119802259,40.02930156262433,40.136612866213966,35.677189806316036,37.162341271748595,41.27983008206927,38.55600538869099,36.059469640259174,37.59615973783421,36.39690760389381,36.836554658369096,34.16190238112062,31.175054116680176,28.097358666806343,26.507434977007087,23.263025168842578,22.888442791925073,21.2530501598485,23.76086545086928,26.19084272711833,28.211195992584003,28.75618070902768,34.918827869120726,33.114935649460215,36.92674609701723,35.45272293714063,36.020587005330455,34.90422581462005,33.8081355447193,33.31983249971086,32.92572448260856,28.667263349516308,28.441005205680767,29.316858073159892,32.02334304800876,30.313789731468876,34.8142028280743,32.09567985827339,35.30417183301681,32.789895812877624,32.01279854357504,27.710812439272694,29.027817471209286,25.188817500701496,28.339762641674817,27.0988623267006,30.889869416559822,29.546932623921812,30.326154755596527,29.38654318633084,29.14534239812604,30.501170248729395,27.578426441912587,31.05661000016472,29.41375529071047,27.067969602089626,27.021356502543302,23.253306909147568,20.32951946581358,17.720076853502484,14.693076124856562,13.71303843431401,10.790823058061546,13.087299635860823,11.00796946067081,15.795268885131973,16.363484943185448,13.228942245509197,12.139849702395239,7.572526393695039,8.758139746079598,11.210938423334646,12.19603701369927,17.296446196371306,18.013581337829663,21.453878542814664,24.504177461722364,24.43253164913642,28.821650049241374,27.28607691983794,28.302615552551142,23.24402476293427,19.22827198602663,18.512295069956146,14.206775351305133,10.444077810247222,12.334553347832157,10.694174190415698,15.240362299375374,15.129332208452078,14.388464159297792,18.63655664020159,18.491262032800662,16.013164538501357,18.087834403539834,19.84597456247734,19.610624270185706,23.447876329752646,24.591590438874906,29.561168050466804,31.239849632114993,30.007816531065075,29.055459929425634,25.399178552549696,26.128686734176735,24.247943318151787,24.21746350782557,21.1156745972688,21.74893547028462,17.858956701471183,22.226975724109998,22.351329905081073,18.605822979922745,22.447419833841742,23.30280076159106,22.235355195246783,18.21835788874213,19.77935081908812,17.59943832215297,21.867262800492036,23.82920606486916,25.30575299866923,27.96624957768347,26.380803852550947,31.81670706874961,29.35821461381158,31.148619459143237,28.04273738305772,27.061182569210523,30.254597006381346,31.52997279434349,27.98253437876291,30.402695126493665,29.3334614324757,32.743491546980074,31.423587784710843,30.267337453572004,29.22979461219693,29.001536309527474,28.601260269234654,28.18538794623579,29.668061005962045,31.097777182235294,27.30201061941055,30.123097372844803,29.316225544376056,28.736349150995746,32.83493035853008,32.15101485771643,28.066318603253638,29.77653862076954,33.48783941044715,30.2800275535869,27.06245259646278,31.948103694713467,34.665259814546346,29.606801188734845,30.87177169656983,34.59916987494203,32.590490257826595,29.89795705999438,33.86898835374067,32.380945187502945,37.92943353742298,35.791558902261926,35.813215419472925,39.59559917652,43.01397417823878,47.04534347205876,47.692433598372354,47.78546792202432,45.403293401562095,47.013858040526586,43.756881400669265,46.816815100882934,46.481446492922586,40.21224559413232,41.46935287619317,44.4157545527211,40.77928592043485,37.77975052660533,39.77841403566899,40.248302957208836,36.57619596969017,33.596818339523224,32.774983901888525,33.97917402046046,37.70206790277857,38.611017607045234,40.2212148672725,43.822412708711596,40.36473475503733,36.87677075430202,40.45837065945304,40.79992186640859,35.773638207681,36.04305228742248,39.11431722605487,37.473393672164896,34.982417879996746,39.837130944165274,40.834297227120345,37.15458427948633,38.558461654398776,42.32575233717203,40.65928374509908,42.47627092167308,40.27651359029677,43.44692297830375,43.21539438957118,37.423027698686134,39.4217947047317,41.46353919251985,38.79030071016588,35.741279535635194,41.22695898840636,40.83258750378009,35.2886690335892,35.95991703183099,40.87040980539083,39.51540035057296,35.4984280988721,31.563783941160683,34.93997440521391,31.532984740574967,34.29191261313062,29.225594097728685,29.111726918456387,26.060983038049063,24.73362989189117,24.62155147484553,26.408416033375048,25.213896810436854,27.68575359758404,23.333268694020617,25.028935722195794,20.72536518258281,23.73631426655982,27.023335586757167,30.436265221836496,29.520221062649497,25.060935448947557,28.156419851124454,30.380200256767665,25.48535026280264,24.90093513753462,29.80183708219358,31.05655731871158,30.605910444468044,31.272320457689197,32.564562892880055],[27.76354913016653,24.948952458402026,22.371900547086444,17.759025627683922,15.449052045244887,18.627220252301385,16.59992923534637,20.354098837120418,20.1403209921672,17.7544043653834,20.944478539039594,24.26732835966608,20.082115891388156,18.592948379514215,23.099371312996617,23.34632081460529,19.184298668599894,22.14817434097492,21.765713529067376,23.719930890569472,25.71476373618728,28.267312168948038,28.506617942650436,26.340511809648333,24.069260818828443,21.02623325576919,19.714813094526534,17.51038827899736,20.903654133123265,22.865157875099786,27.507268062783407,27.747172491684317,32.113197994096616,34.0353099207371,30.62801843531154,27.277188810330337,26.848335191545626,23.98011021719697,22.277596454322158,27.254695388453786,23.019843024633637,24.839489287328476,28.995705938715208,27.75659966512451,29.161967515603887,28.10355273464942,32.439938567580455,31.380502264983125,27.061707494464432,31.46951252926499,34.51666330780004,35.79830176954872,36.17711598828788,33.45282612315289,37.688036978360586,38.075423526618486,33.862219584633834,35.75995144690894,39.890155526720946,36.98234034865677,35.159143647230124,37.28594614916139,36.452930933281735,37.192373282976206,34.07322600493606,31.061533084596945,28.983956794395716,27.59348323866928,25.17706001665152,25.238941072055205,24.05086409884689,27.076856815656505,28.894062087580078,30.360591307902627,30.41559329457011,36.340011035087564,33.73062688308742,37.505998940011345,35.40821846028114,35.357867277119084,33.84413547611354,32.01507018724471,31.364751713860514,30.29331722134912,25.994881894144484,26.587098209737352,28.10446882682376,31.09556845586786,30.129327203894057,35.088095175882074,33.009000467905025,36.75624006213698,34.461771663744955,33.59513616820615,29.38694951997819,31.29964299930966,27.568587928782804,29.677398358000282,28.141097366132144,31.53450725608137,29.575028449643984,29.500709632855845,28.216487882846582,27.22068231568865,27.543554063697503,24.6206156865737,27.65361846695857,25.49028507251377,23.448692307888976,24.068235198508464,20.68475263327346,17.79665313140727,16.4408795792096,12.939106355840009,13.709402972434296,10.428831555983468,13.250561089225293,10.981759776004449,16.751154274237837,17.698882508317116,15.354745841916158,14.304953297989176,9.635275331962912,9.699744509906782,11.535687392074205,9.899040412449029,15.234766443092747,14.81400307534283,17.75926267842724,20.588665273803844,19.827671371857342,24.152463456887272,22.293064369320305,23.88653757315589,18.44368478509199,14.859516773256342,13.570540999470099,9.437372227369913,5.915733373454995,8.677606416655282,7.764527892267499,12.850729073394154,13.626110828155284,12.254647338472578,16.53800675730874,17.0602241805802,14.447867297529477,16.980608056547048,18.24375118691247,18.941545751487762,22.317386243260888,24.556047462524024,29.093858609690205,31.682477908768714,30.701635593708065,29.09314663047251,25.406365740841608,25.182421715019373,23.47353055892555,22.159217887663026,18.295594906737247,19.654669041509027,14.784774809179293,19.220156679734036,18.217373825643293,13.922418720162822,17.326764556579484,17.965815841536283,16.620569713692504,12.695093324607699,14.473892344432336,12.888261934467387,17.677706725921883,20.21586239310394,22.383381246093077,25.392146355794477,24.72725612706336,29.71443353852586,26.759647324930064,28.121284074077774,24.39933894574635,23.494727610912527,25.966874035493632,26.91079648267662,23.434541024483934,26.315486606779338,25.812449368911548,29.072497071225907,27.19868682543447,25.73350692997258,24.341598135554676,23.98923753194156,23.277448385854925,22.822936022692613,24.31266451465237,25.7262717423843,22.099001854990316,25.198801366524734,24.74458400722311,24.643280321566863,28.867873300612608,28.740894721940986,24.73184223267991,26.24307662902881,30.258265117551318,27.652319426979094,24.283718726835662,29.1248475118897,32.328835395831874,27.808399931027918,28.948757030959342,32.79512464339633,31.388542089842467,28.87069838924404,32.53071659617285,30.556416148133405,36.053325745038826,33.15398763520878,33.009225016006,36.91641879247575,39.84983009653807,44.01851659288617,44.24130596887559,44.29982329498448,41.65787608533085,43.106002922923196,39.839421705235154,42.52361436320529,42.22773549390007,36.05400693898569,37.062190010885246,39.72473864331661,36.188782966366404,33.127443992519154,34.834609687370815,35.262320554131904,31.782087196254707,28.50965044684317,28.22897141079453,29.49098998768573,33.2920707388153,34.68644655664808,36.47064892293268,40.405830086557685,37.117932762781614,33.42474502725395,37.3792707636216,38.11343703696524,33.15486954524122,33.36697787903159,36.91950620626117,35.683749127275206,33.0660223218355,37.70711545695589,39.189604732155615,35.94505070646623,36.85128240948784,40.403092117221156,38.35416556257312,39.796563452275315,37.305068746141345,40.11528200807117,40.194249532341104,34.43178371680466,35.86250091671039,37.90889521385901,35.46111470779231,31.972359358629618,37.16848808862449,37.05122932559284,31.557731685035495,31.669180014133854,36.56405901379108,35.5410078179716,31.60312091664974,28.07572277170747,31.390154365869165,28.48854795987545,31.562353809128044,26.834899716759388,26.503129149898992,24.155976946144907,22.793572646096646,21.910327732993927,23.168905660826287,21.46438505983122,23.912424313154023,19.801162086835852,21.068428701040897,17.32994848345339,21.267072599128856,24.548555405628562,28.14790987514419,27.79081634693609,23.381622260074028,26.616189617930427,29.353046031356335,24.844963537213324,24.380107380318222,29.227934085130702,31.004868166906935,30.88572260341576,31.59074230517644,32.98122002449238],[32.070438507276315,29.25947403059748,26.725523089583238,22.141948854808224,19.9283802717145,23.485311532402665,21.4993484032653,25.16611121656851,24.879365079461344,22.16450602182119,25.114623307087268,28.56189979801632,24.02462308985494,22.359981253543065,26.528529586177957,26.709211614221783,22.17277973336817,24.389557407225055,22.925091380402474,24.877743167862228,26.113872760605368,28.30950733455222,28.009187921678873,25.303536953801327,23.619712436153314,21.125817650293666,20.550958890870497,19.26714566611992,23.21914795986806,25.831960114808616,30.25678390978031,31.004304425237187,35.33865030369452,36.73520615061345,33.2551941007083,29.538028655486734,29.51467036482024,25.702259292243102,23.687832526451867,28.10738453624914,23.498868488086647,25.24603292307618,29.171843202387826,27.69164147356918,28.36589834443199,26.902717211915686,31.260792504759127,30.92063065090537,26.6698267094128,30.629549989060386,34.044460107108755,35.78578660207477,36.19036303803271,34.114466889325804,38.40851705232554,38.25826512155729,34.16376088596997,36.59550662910535,40.3707626932654,36.871725403447826,35.238827157588055,37.81504990367764,37.450385826609505,37.58778226525565,34.25718516096776,31.812473271754833,29.666579481702346,29.027738279136102,26.44804665610911,27.263004157532386,25.725609276715648,28.50854831366811,30.639006549392207,31.516261645473243,32.17377195538664,37.83086518729658,35.13187123032828,39.22063083860732,37.02147072435402,36.5992976082147,35.57400520448661,33.434097300224565,33.46040223841947,32.005778378578235,27.415149410751283,28.504926501346,29.6391144469158,33.282398161102044,31.886067186623723,37.26880460839917,35.14494082847373,38.7989487664792,36.91121057055426,36.47587418175985,32.5321111994017,34.544075450828565,31.048233657581942,33.32639194399633,32.12760540603758,35.8186985439591,33.38300056140424,33.571487437287516,31.74080191034019,30.9867089967653,30.67040175665607,28.195708172865725,31.086265992721565,28.673229255389753,27.070272840738145,28.00624133895858,24.959069946869214,21.900650501079387,20.99782230470395,17.182628600962275,17.679357723245055,13.989842832883834,15.861715559522523,12.454735514734953,17.479859207591147,19.662818175552513,17.50482494073905,17.369832667334173,12.888232989876988,13.92520525374564,16.27545401031958,14.439330214717165,19.850534868959656,18.89531979317072,21.458072282455724,23.77461449716524,22.612853129320747,26.665880659841022,24.166681625132938,26.231230129191204,20.557732090657392,17.661810031361714,16.207556288160763,12.37122717324825,9.183060284824997,10.94679577928643,7.568571051205267,11.757413995743727,13.926082756754917,13.615905644290313,17.74373070135995,19.287868109076985,17.23479495988239,20.48876207435404,22.10635383078383,23.325987054653265,26.80085931431383,29.2223026044332,33.68415704370069,36.45190837971728,35.295732790530934,33.51000508260557,29.683087299286925,29.411398722371818,27.315413044795374,25.943753014332888,21.454193694195553,22.24906415579882,16.83800378617528,20.718277246757424,18.93311588189792,13.830354486734468,17.5238533485594,17.050350632698397,16.443792545784476,13.000238008930445,15.594363030034573,14.607969420938137,19.342158169797337,22.33198169784713,24.766878859663958,28.19857905190507,27.732609912838093,32.426455500193626,28.924998091589988,30.38947904502771,26.11059222529733,26.177432157718457,27.835958314663696,28.18670413742836,24.604953286943978,26.976189226912908,26.21975536870104,29.146598254886708,26.6498010180869,25.055663613201176,23.777191166067578,23.704566516289983,23.378813236702335,23.516488014750248,25.366020095111786,26.989408398507113,23.883915051012846,27.429079035720974,27.401292725929807,27.893644859529886,32.096840253568686,32.46021625800774,28.553273836236354,29.719117706805015,33.930229288017664,31.723333821328467,28.03745509240123,32.785643475294755,36.391096505213724,31.9849338171707,32.84101772486837,36.76735401824043,35.68081603105471,32.943366050912644,36.320585217378365,34.110311019442435,39.7096449432948,36.103895769219065,36.265171398591065,40.29988703267351,42.97453446395493,47.09223575203159,47.183230532385984,47.47192160262122,44.743666323863145,46.154465428797266,42.99540085827999,45.27520369037694,44.890538041821436,38.90094252283208,39.743277665898475,41.936853845846954,38.42894047895681,35.465733361777104,36.80354382452761,36.87839650696676,33.62706200443703,30.284496811512195,30.753082123394655,32.23309041816092,36.06734852072755,37.922489060232785,39.851470318084445,44.01183620356178,40.84621468287078,37.07008475829358,41.22372096201277,42.19185104293772,37.30863452848519,37.45187191524793,41.208434265162374,40.144216908169895,37.42628253589983,41.9206163605009,43.59541698070065,40.44724314367218,41.07978536147557,44.54448767195803,42.300843858606925,43.65552810476065,41.108041801247985,43.626814305499195,43.737712693965356,38.04203288308193,39.17947605567465,41.008132367128745,38.629619351112005,34.96992617150479,39.80188133510108,39.59379993384023,34.18308590470906,33.98881644616086,38.60037817425943,37.54413927584907,33.66884690171764,30.44501610088818,33.14598950727379,30.419091607513966,34.01114760481707,29.610223326043844,29.73084018523215,27.887234449029876,25.976189400956184,24.884213225516568,25.53612871286859,23.941025984729787,26.815504590568143,23.310857854886795,24.451547928979352,21.2796147255637,25.542214951030402,28.867480210849763,32.498174482038706,32.345787729991706,27.998385326906888,31.166903386228004,34.07202802436737,29.67600505542087,29.102540842514635,33.9083625271363,35.818524733945786,35.74398469184562,36.444033666684454,37.82702512953843],[35.244405239487776,32.485509547186005,29.960024837842187,25.32760573330704,22.987542910158947,26.05403547968367,23.645120314672123,26.94145086487816,26.323903477555973,23.066262756754526,25.63327116310237,29.172562109219406,24.326029715075766,22.475255214634654,26.179930615039957,26.3353585447367,21.603022225968672,23.155688590015274,20.983131276966414,23.03234901027241,23.771740432216586,25.892921132306082,25.272182689646826,22.412450355438768,21.108099016902344,18.79300364262302,18.810530906418634,18.06008887591903,22.225704498527243,25.312615050126734,29.278435907636165,30.580386040986852,34.76534537739765,35.71535573338458,32.320333909005775,28.370297543172356,28.84958931074638,24.490614083253636,22.542822294102404,26.82613483598288,22.052447744594485,23.265241783171483,27.109753275842237,25.81867929305773,26.165000799519692,24.845083253192797,29.16054655328141,29.01035792277812,25.129602728380906,29.083149475567225,32.424405850467934,34.4567440341535,34.60326380544607,32.83678383519318,36.972060796121696,36.391684367451234,32.26234048949238,34.83515799522456,38.39167659373332,34.66604809867069,32.9132218457821,35.54163732355467,35.35839911345932,35.09532719861096,31.778069318418922,29.672851437599952,27.338919079888136,27.13913988072404,24.44410400763712,25.743708118302248,24.021027213208953,26.643929653852148,28.875498482165266,29.36582108416379,30.407326977383818,35.83525846915197,33.21169932245368,37.476152897459286,35.35388031835155,34.85459409934483,34.28157655338239,32.21531807389797,32.79069431113394,31.39511146478822,26.652868005971257,27.710233479030357,28.324712924296954,32.29555222744585,30.396473002934773,35.92541543319746,33.67755496537334,37.16103902850819,35.57117250385908,35.497281007557774,31.8263101498637,33.886071509114956,30.67531094381666,33.120983760933,32.333300392148104,36.41513135844608,33.562220652659825,34.319879446106135,32.0104885644853,31.872231248035533,31.466919075137568,29.519850676491732,32.661597099299016,30.483045971517985,29.280983639386058,29.934956197734497,27.132696820994468,23.593296007357022,22.671708324928332,18.584932306219304,18.295126851445897,14.443152272011535,15.339960352714074,11.377974065181968,15.435955218804327,18.335909144635057,16.399832731762487,17.013696229419093,13.070526207923713,14.94235131706611,17.926413441460035,16.498814675458327,22.31047814597184,21.11162342171225,23.718794886586785,25.473933876729916,24.842231085167178,28.621211785441968,25.779239017693072,27.52195901000718,22.07528303394726,19.31449139793891,18.749642923252594,14.53009611755258,11.237378618682158,11.739232231248666,7.0921976207323425,9.917902211792882,12.326438610023374,12.928726787431419,16.758137810891675,18.713752143076817,17.192937479296756,20.84387247631051,22.97648034187978,24.48905501888199,28.294485239488694,30.61765390153811,35.084723072895216,37.95318536017948,36.36816520312638,34.44857642918844,30.45546073478036,30.429525862906935,27.814786847092694,26.93231838843501,22.213670858576755,22.145639281760634,16.903974191008956,20.277783742784045,18.7570121089963,13.906699113178645,18.066649461147772,17.491374133514338,17.7867962822855,14.468630494937702,17.044247676700593,15.702769408673774,19.825776594359557,22.688535424811914,24.87845105018128,28.455147052750114,27.73020713276653,32.330314350770216,28.651367006044502,30.428354189525688,26.14657103292213,26.977109049654203,28.52061502415273,28.722605402444714,25.00447074196789,26.612840149827363,25.301080706682924,28.12363529650979,25.737005772784368,24.371750625211526,23.57583733703539,23.68942407554763,24.0620316656795,24.671491371485693,26.837882301992103,28.887047012909026,26.199304904968393,29.831815946940836,30.18663914838613,30.518363174126254,34.929673057128305,35.18187143129305,31.347232595625698,32.83832445760872,36.997578544396454,34.76588280401744,31.38860874157408,36.12499369007923,39.552672633009244,35.25042240935423,36.26946123945624,40.153702255201075,38.92385005684323,36.33403659582297,39.82892917093211,37.68335860626698,43.23720364973738,39.74485946198785,39.78743388286871,43.789100803021164,46.41196768785088,50.54540754250362,50.535633456949874,50.66727042202216,47.82267314745503,49.059725528811384,45.736219481692316,47.94329585332036,47.7880487639706,41.82442442302035,42.403004991137806,44.63928686261339,41.335323022600186,38.2375239416297,39.30763147076075,39.63133443677837,36.57728220922446,32.85963783012263,33.63629600375848,34.677624021959275,38.52605660888585,40.56590015228625,42.2542224538814,46.4789708400738,43.10269574088611,39.54554567079009,43.90736533275444,44.667942596577774,39.79432035343923,40.262080635598224,43.98274692952302,42.870234402601874,40.366083069830445,44.92947074402344,46.54315825138844,43.439656844502615,44.265080885683666,47.73302013077117,45.545950758292804,46.785119873351505,44.10371065859359,46.6492092024964,46.972994505689314,41.28990665210264,42.27388025939868,44.26658706095447,41.99406924572649,38.21461317859914,42.98762292582602,42.98534531135822,37.614057664334084,37.20564453579852,41.8484924830919,40.96145962392875,37.13532732653343,34.023187510818815,36.71543730207801,34.0821856833724,37.70756080808509,33.29992982610468,33.32774785433917,31.401819222045923,29.62088339904728,28.515580593731343,29.164904381575326,27.4483362609818,30.203819907109306,26.547965419567003,27.36150021861333,24.125788072836894,28.509531647979564,31.438554383359552,35.151514255650504,34.69661856439247,30.569780228706854,34.02845606019387,36.68349519357457,32.07125375325962,31.933194898993264,36.751126880843195,38.376983255286106,38.17856404890993,38.785587852746595,40.06228667989839],[35.432781914863405,32.66214777806933,30.145383696964153,25.58587990728962,23.269412757510967,26.223097883235187,23.801980702477746,27.03930419833051,26.377123584074226,23.10349165692617,25.634545489655746,29.174856535621952,24.36544853656572,22.478975172284713,26.185668504841672,26.371847576220517,21.68796329639201,23.284916519717548,21.23409681428674,23.318470868482372,24.133886461745615,26.288016283225925,25.727331578955937,22.96154029800522,21.626423249071937,19.26985630962414,19.223357425671008,18.346418718967733,22.40564505100825,25.42958139984158,29.343421035607363,30.641646485473412,34.8023938366734,35.7866228434104,32.4231825893552,28.517091840728764,28.99266289744627,24.750625609874696,22.886144988124116,27.16348929252743,22.49402425646139,23.66627041823027,27.495064999967653,26.248357292727913,26.624812673731476,25.319485360645217,29.5844399320912,29.422606968323745,25.572679520662323,29.460206248889417,32.719608361494956,34.773249345224315,34.89025389349941,33.12781689214734,37.20880576238889,36.66504093076519,32.57288900609078,35.08174996056391,38.633579671406736,34.97744117711155,33.207101942922606,35.79150557812755,35.56802946867308,35.34915876617258,32.080224106192865,29.94924036356554,27.623774724026106,27.337716966401814,24.638115647961875,25.840144843044104,24.14305289832948,26.781103571367968,28.99138853837245,29.55338483357241,30.5424397498263,35.98164545570879,33.39706645360629,37.61759205897641,35.521717819779866,35.06411052438514,34.46437599854113,32.4424159276338,32.971852941765384,31.632884198353732,26.95957999474545,27.955412153373356,28.571398562835174,32.454754577364696,30.58290463980026,36.04043627040368,33.79067536466061,37.25735805385395,35.63627897392321,35.535562199720744,31.849978596934747,33.88970118982334,30.666237968177267,33.12909911917915,32.34116674772883,36.41853920951431,33.6036667039147,34.37630662862511,32.11053788511078,31.990176645861297,31.637822738671545,29.701059727436203,32.8273230600212,30.686004495887925,29.49383104784185,30.124144588760263,27.331385940535323,23.826970153969043,22.85304012811514,18.845532027039216,18.428655547724034,14.656477209693016,15.520975529575292,11.723693569782226,15.772634361198364,18.478871584965532,16.476617780165114,17.036141911243885,13.137638034808063,15.100763309244721,18.109332727877913,16.867498098807594,22.58914349287069,21.428678003282258,24.014542479813475,25.744268966955396,25.143481846902922,28.857854556831445,26.065207141307777,27.787347343241787,22.4427050181343,19.742187413240075,19.23167125800227,15.161939494859185,12.02470467693259,12.467705001617308,8.427305718034667,11.003090001630929,13.003040647335006,13.513895893428893,17.24480523992365,19.02813138983962,17.499054516931924,21.03569796900456,23.164078433948607,24.60927438314583,28.40805404634858,30.670902850163053,35.131364834321396,37.97707299624839,36.37644731329591,34.47632988076271,30.50180646337052,30.5153158339913,27.917610191729203,27.108194940427133,22.49930284550469,22.42445755508817,17.37629556485831,20.701109489819892,19.262940799639235,14.647201681112078,18.53921784384477,17.882097739637878,18.190751915942368,15.09466724062147,17.57235871611239,16.297824842440804,20.265361670707883,23.03843905242905,25.162745483535172,28.664692394683627,27.907868580136117,32.49477758986533,28.88959928499995,30.640481051503347,26.45217286077752,27.232414442575436,28.78423635718897,28.990168940746006,25.336247169815298,26.948838735429607,25.659040609348132,28.45143907634164,26.116167451019507,24.705646838137326,24.031016028001467,23.763950080525845,24.290588123069753,24.952820054744908,27.082486891018434,29.127502953529728,26.538625479742294,30.080976168657386,30.412353023668835,30.731617608869165,35.10195501602702,35.343638330301765,31.540696449117878,33.02319972216353,37.14166164885529,34.91646076909775,31.583895424138074,36.268816510424884,39.663622340261576,35.381753680324756,36.39757822424346,40.2530187680747,39.01888824913652,36.4572772685541,39.9226808815568,37.79340085277003,43.32931023198044,39.861578436300434,39.901629013733,43.87893002953706,46.50877357641445,50.57271010523356,50.596851651687324,50.72960216631363,47.90758592833403,49.1437377446975,45.84083905492176,48.038133627784106,47.876555862089916,41.944013072880935,42.52424069784242,44.74887959014852,41.45807743571147,38.384418050151545,39.45811257487525,39.76298987223393,36.718198448304854,33.05734409670191,33.816098947771,34.88017448366045,38.681441941686536,40.69463475470313,42.37861059330403,46.57821262329577,43.21018041201656,39.67525580414174,44.00673462090423,44.75414384879978,39.906290934678715,40.37545767203032,44.068531499875014,42.95113672914243,40.462964336787664,45.0079632732335,46.60590392044835,43.509616297381214,44.340182519295084,47.79681021457638,45.62586007011553,46.86300639807486,44.19936520161365,46.73731446379863,47.05271752069839,41.3999511259737,42.38380177163342,44.3637799547364,42.10151368095347,38.350857966317,43.09444720110417,43.085338752526965,37.74677126109098,37.34472575549383,41.95941460513663,41.058674279737026,37.25765626305016,34.16961606796568,36.832555253312314,34.21262999716122,37.83872471609499,33.44250460129692,33.48362546406509,31.56106561400189,29.784551153912727,28.698576761204794,29.334273558990443,27.642865697873727,30.40857669307632,26.789912932349353,27.618610481288233,24.422643358410987,28.719083417339533,31.602047766104512,35.273378607058106,34.80432328680798,30.722555081385313,34.144038874581454,36.742949667657825,32.17968968066374,32.06273373259027,36.79706710236247,38.398828026320665,38.229215379441904,38.8862983948481,40.18276740743661],[36.21786153273212,33.46674009616895,31.006186612695164,26.565126897779724,24.387034012213793,27.238992954296418,24.912769202658072,28.084209438243402,27.337481134938116,24.09580498579955,26.5088345618059,30.065273531977006,25.38885013377633,23.371968354208384,27.031452756099085,27.319625896910356,22.75869107430542,24.30079728778567,22.284526732258666,24.47592785292941,25.265280346245355,27.451060484940037,26.879218837317094,24.20816996568198,22.958119897624616,20.593676968938283,20.6205044291328,19.69481541511449,23.57988640958326,26.541104230550072,30.25588410789912,31.62620902570704,35.708081855785295,36.69788098454374,33.41951038893417,29.572352626115745,30.1040738791466,25.98769852333983,24.23458289697008,28.40838292642562,23.88531044436164,24.955842649860898,28.71601797837267,27.520362731171364,27.84769927811587,26.539400424309715,30.678819800925808,30.589026889566657,26.82852813649947,30.532584567319617,33.75309373321669,35.846951151223806,35.987635158397644,34.24936343922933,38.2470064115087,37.70283765273556,33.692243864225176,36.15291580505372,39.63996703759686,36.031409010235805,34.25595633100477,36.78402632261418,36.540258367180805,36.2888460846231,33.10217662816233,31.014021992665285,28.622365960004636,28.303829534478965,25.509563766752663,26.637266605412297,24.87653473554152,27.43424767290875,29.722583137217416,30.366153207231136,31.402709573108012,36.82595408230718,34.35099667692574,38.53426528836968,36.5084340561925,36.100396185812436,35.52863097657838,33.566256968739275,34.08046688081859,32.785148476861515,28.218513531519577,29.17482427556208,29.743455781496255,33.53372382980575,31.63925254802124,36.99330326456,34.70545807316427,38.09382156147935,36.45424488064015,36.35905530822888,32.6886074177937,34.646697097767294,31.432231981960776,33.99360799028714,33.23837128863559,37.301294675268444,34.579200133811305,35.381164225695066,33.186661060763235,33.0801098568868,32.75011188669247,30.827159208882087,33.85108078706841,31.70861693073039,30.53009946982542,31.202207148257276,28.446341568139754,25.0869771933847,24.08949173874092,20.271976511210124,19.719268663620074,16.184643767614073,16.884358452661285,13.395639705588529,16.958065484368596,19.520667228525035,17.410016783048253,18.00846265876475,14.390697166776922,16.462743300172313,19.394145562612454,18.4064452377894,23.847969469225045,22.746495466135784,25.215883916116145,26.919988535300053,26.212598944364604,29.81754103315976,27.073105319068645,28.881045474794814,23.65377256912855,21.1565986508828,20.53448454539234,16.847689593208397,14.052494975706146,14.493480552516985,11.054051598804682,13.175376929115624,14.8384930047895,15.366364915427013,18.851745910606972,20.47309526717841,19.01149849880853,22.361892041635766,24.444897964810433,25.773374165976954,29.503038269398225,31.65776126103011,36.085267717460084,38.82668722313581,37.24527835602251,35.421779609760875,31.506872192759637,31.580510238598972,29.03726006580804,28.307341049591898,23.86620558123316,23.78685852997393,19.00464861933048,22.17391285297488,20.73571312878953,16.34331608284178,19.800949610905235,18.894396278797185,19.16378240853603,16.48659945214204,18.921445492777494,17.914198941191653,21.69729362967992,24.39267503891121,26.46211372173937,29.864799495779543,29.10352084743061,33.61250023413067,30.0959277544679,31.79182886810365,27.691067501368398,28.43706471052386,29.884380633524053,30.021689746151484,26.490149538382216,28.107698361597155,26.89015815629192,29.578985302084988,27.11074167265259,25.740407861617015,25.096102433035476,24.50135136550554,25.106210111313718,25.835313694385505,27.904734956791728,29.86734117984539,27.42147160842884,30.897173654905746,31.201747748733215,31.628357979745324,35.87516684634895,36.192469970280584,32.4538890710277,33.80394622362324,37.88568934539682,35.732928898065154,32.37478214371214,36.95590837282621,40.37716505568723,36.12690248102633,37.06269970458491,40.88006920840873,39.70500313279009,37.12382884652121,40.483965654327086,38.35389716023987,43.85946946751837,40.322283008187185,40.43242672676379,44.39002612760136,46.99061168816288,50.96064963976309,51.02018667551401,51.22114745469546,48.44343654618464,49.701399002634034,46.48255707812772,48.610654300303466,48.38412880724309,42.5368773065929,43.14104750598248,45.25046091821896,41.95378026313639,38.97164213264346,40.02411535872821,40.18621214767372,37.18189369169379,33.673669621738185,34.483310487124946,35.680030340004585,39.409428982022725,41.420293880404444,43.15400582135573,47.32423811794651,44.033567338373544,40.49848015062475,44.759105264317675,45.54940906686452,40.761045624758076,41.16635868524223,44.832112694496466,43.73325206099742,41.22935529842595,45.70454897734664,47.30207461627447,44.216988551140965,44.99403731478791,48.41982820619657,46.24343614972271,47.49172695996416,44.88158853859744,47.3553872059746,47.62096546912524,42.035222676136044,43.005166917117506,44.893127125791146,42.64062879969738,38.94238877413123,43.57539008933506,43.502800941612,38.234219808879644,37.83249553931543,42.328743683363285,41.37740514188545,37.62609625553867,34.62132813218276,37.11948652371868,34.548106898276,38.22890388168497,33.9319360713005,34.08445517442483,32.262001601761355,30.399283935601815,29.320013260165524,29.837884953397086,28.24275064016154,31.08900413416917,27.67391918472851,28.559387841217358,25.533011928293607,29.68734515215151,32.57277588951259,36.15572322149026,35.75267022266141,31.704047139900187,34.99507695312964,37.5610863364665,33.12650176185204,32.93876747410296,37.53951833744922,39.12551531129068,39.02830454362308,39.775393034213764,41.11491572505825],[36.60578256212189,33.85219569261544,31.303861316116436,27.118154686916103,24.799874892161373,27.57670226388983,25.25957542251857,28.216438119725467,27.52728910984385,24.339405361747794,26.622010450531608,30.062400463361573,25.49559082540506,23.558379045754673,27.060209883765882,27.33223918517657,22.96465131066238,24.470189443151916,22.643533717524907,24.745893407182166,25.613587789192025,27.742058074047982,27.315124934016705,24.832009523407176,23.504491940239475,21.191547904779846,21.106161825840946,20.172508141542856,23.78921458834112,26.58492310633427,30.205386114286668,31.500908850402777,35.49744814914913,36.49665133553221,33.26895934137275,29.547961538731794,30.01561302396618,26.095984839926658,24.412408992010857,28.390382519486646,24.10457429791527,25.24971461350073,28.887920862027585,27.672644989369545,28.07548883265166,26.77026384407122,30.776983863524393,30.629104288718086,26.889846018106017,30.442138480995887,33.59814693535196,35.64151639512063,35.85549880015456,34.05633801944562,37.982236755904495,37.54195141843873,33.65726499079113,36.02802608414674,39.467796203350815,36.004979602180526,34.30132737842698,36.76554492574339,36.488937461930156,36.35173607768178,33.224981139988664,31.10425722829715,28.83373598256472,28.421110017382674,25.722702086676914,26.7451774644677,25.067481641603205,27.61504567136935,29.799308926354243,30.500276680398034,31.4271161854426,36.783509415118765,34.322148099152884,38.39122104396808,36.37796723068085,35.98396975937436,35.336990592129034,33.3996771024725,33.8302162150454,32.541034673037004,28.126195942645158,29.096228549404724,29.71599840689992,33.350879157431756,31.587448490305032,36.81111069278564,34.597243984890575,37.96722160764769,36.320161144067235,36.19106053078132,32.57875576545753,34.525204068087234,31.36837762281196,33.842012170416325,33.104052715070075,37.08839102343958,34.368617605437066,35.12942674871132,32.95882679950191,32.82809852585718,32.42139215838773,30.58302946516746,33.48064291725703,31.354257701539964,30.30724942900049,31.010473197283208,28.423541487891335,25.174872125586294,24.326100475211934,20.709921558619268,20.181490936906908,17.01551571904542,17.571883241796193,14.659688667677546,17.686014518558046,19.917653456653166,17.88724653770157,18.46006374847632,15.418030267692439,17.314267606351574,20.029174879570046,19.081143397379613,24.17961344812228,22.97551834220362,25.231271866830543,26.749801972524537,26.004868554669255,29.417858313982496,26.67788270213499,28.51833199173257,23.47079191893615,21.268555018607785,20.70162887026704,17.403582014280243,15.114598642213576,15.4507170058894,12.758665107274492,14.458818267474829,15.878170207140412,16.261775800711597,19.376101120910803,20.848792286977233,19.493363883139526,22.60993126185079,24.568561575935565,25.89908776848538,29.476941421495162,31.61673428951131,35.89710911331759,38.666528364447046,37.08138605144757,35.23760907285439,31.409703091173604,31.44916022476491,28.974648377394715,28.226189760738716,23.931907338831547,23.894928662938263,19.403857984614643,22.341101431227415,20.840576690128138,16.711840271085194,19.680676586503843,18.65236177151207,18.858366241171435,16.610316327287737,18.9233398412144,18.200393606536633,21.72282893375552,24.33456094197554,26.37571289573504,29.664973842510634,28.995459788150697,33.33194538967184,29.899682939015655,31.487897182689768,27.479008434525582,28.197611575287123,29.492097450822193,29.57207347370224,26.17619888795524,27.839055712693803,26.77729654106159,29.385222689093442,26.771013197236808,25.519692389963893,24.806210760439807,23.996021645565516,24.577380945006997,25.332870391287244,27.362350148876608,29.31880434648937,27.062507885390076,30.482978019481962,30.89743103139206,31.35896507154056,35.56400137393027,35.928575090404486,32.304195819780844,33.660807532006714,37.68241765759367,35.64714310414276,32.44562833478919,36.90324544553849,40.26860974901181,36.206821532313306,37.167693613558946,40.91467994921484,39.79176975883887,37.35275202346665,40.66224181726409,38.530388826216715,43.91291827655716,40.40069168466661,40.39916342995939,44.299951705395976,46.78925776559097,50.75739342380825,50.71651914046881,50.84474239890074,48.03760515997144,49.22029538608258,45.995784564975764,48.0505307294417,47.88477619409443,42.106544231867055,42.61777532576678,44.6933225939932,41.487212011438366,38.497549852275455,39.452582419922116,39.67143491234253,36.770865773854624,33.191880984847934,34.12425561904931,35.23725761321678,38.90791523597087,40.975250727708314,42.66907005850566,46.833009915556886,43.57322569709946,40.102565803844435,44.37757703504007,45.16290666392251,40.46276442488983,40.91735418886271,44.57611907077971,43.53053156128217,41.10241739431515,45.4977644480899,47.11933106252714,44.146719162481396,44.90586159258809,48.25988944620838,46.079032022477676,47.228735720655266,44.58036461578912,46.987461292057034,47.34901124168803,41.841830219151355,42.68308349569519,44.60135427100369,42.4416431178552,38.703617494555786,43.22546518503795,43.27194831514014,38.09003157196383,37.544086609158846,42.01038794171608,41.19083963050352,37.51601334662721,34.65943245883632,37.168113305937375,34.7730095216769,38.418123154122924,34.210339218400705,34.24293597750965,32.52683689572314,30.794580623558723,29.598365112898044,30.037191060147247,28.320356198858597,31.05235983548256,27.738611936588054,28.463760885508208,25.671807311124063,29.782236723907907,32.479622534571234,36.00275216715996,35.63071505778095,31.724979280799925,35.00187967633176,37.497550624698505,33.20438305071374,33.12144968976836,37.585429277370416,39.09588844971484,39.03554845254283,39.7764405286274,41.12650629444241]],"stdvs":[[0.8686994936778892,0.5804234352749605,1.0279475212153903,0.6407015792684437,0.5299735921347463,0.5593603156603729,0.4769707122699099,0.5121115810356691,0.4868795347547482,0.4898496299680842,0.5150309675176725,0.5485335422532345,0.547413788861482,0.5274723703851992,0.5935763363229648,0.605392779203303,0.6082637021786198,0.638118786326991,0.7181974376419916,0.6490853337351323,0.7204948696115621,0.7238000320847345,0.9270086919549693,0.9975008202190033,0.8545688290239098,0.7204484070160951,0.6491181674503177,0.5809617100556657,0.5994260290173793,0.56340056747493,0.6258372116760037,0.5613483765784667,0.5815768810366908,0.6356609680975983,0.6024769119453663,0.6048969986254081,0.5986757844587132,0.642783171573064,0.5669910011081012,0.6274508798846146,0.6886031459143769,0.6426951249675966,0.683140447355403,0.7818432155887562,1.1336840326702158,1.3855389198498815,1.4612082840412053,0.8578914435367135,1.0267621023034412,1.6070519379091355,1.1540039069503731,1.391193866118286,1.0889224273630482,1.1121629085510532,1.4354069474830895,1.0797940170848974,0.9699599103209818,1.1576876996100043,0.9343582939430775,1.5049521477038985,0.9849805958539081,0.8838384165953329,0.7488657210743531,0.8037493231326275,0.8420123633786114,0.7284877580547404,0.7665549795721109,0.6494955077470216,0.8249530912874404,0.7517007286040149,0.9709597974486621,1.25581389332525,0.7735949930997155,0.921617127221967,0.7239937756647578,0.9211932644146007,0.6903759441675725,0.6680287742297406,0.6674323809075339,0.7718454952948371,0.6254331386696654,0.8287049877985486,0.8167862178267411,0.7669559139662829,0.6509915813510058,0.6158693725670794,0.5872130443855805,0.7182253537853511,0.6366508374199739,0.6720205012306523,0.6557010286653077,0.7758221993667022,0.7090569120387942,0.6279553363086833,0.607251525934417,0.6353996369637946,0.7969087362432395,0.5800176807026576,0.5696075647402405,0.5616202976807023,0.5412658836691863,0.5522084600184044,0.6277003945387064,0.5281067111806328,0.5182503336587801,0.5261375752890075,0.6205506464814264,0.5338191347584136,0.5152299541737777,0.526071415043738,0.42940110819882976,0.4807754207083152,0.44866239226976395,0.43729991557067194,0.4928122962775156,0.501538521455882,0.5430640733225974,0.527566633513511,0.6551356469844393,0.5763191232190312,0.6005738020766401,0.5506190097620028,0.502428089960636,0.4791115716962987,0.4525872937732123,0.47282546869854664,0.637764641790193,0.5119773779265727,0.4685174336577722,0.4136922938290492,0.514597992247101,0.4680377165238094,0.4429943986949804,0.394070249019827,0.37929026814597405,0.389332319994187,0.5387129068481478,0.2772753038073598,0.3461627636219232,0.47588639445297676,0.5132148898017058,0.6448551415628618,0.5413182494466828,0.5434854742135873,0.5508590418792327,0.533827678587821,0.5334663711522395,0.5277100547902807,0.49952012744037105,0.5167986294213595,0.5143987484138507,0.5296099399283876,0.7711908306961393,0.8684990355263437,0.7398623698155855,0.5740166185849378,0.5401957778447276,0.46730430043478616,0.5395956355907112,0.5645143115456925,0.5368041966106829,0.5195670334309732,0.514677927391974,0.56236983961118,0.5120847960837658,0.32109277807152464,0.5482015890847494,0.7316613777479473,0.6291335179923976,0.5769847536867756,0.41418437765065846,0.4040760400768595,0.44671068387048035,0.47267717815548227,0.4930688412720829,0.49684385462871894,0.5867735921855336,0.5451544918730342,0.5787633959771946,0.5072823380385653,0.5684900923785319,0.48705374943084306,0.560973802480118,0.5922113156139603,0.5069659392482356,0.5766572741220276,0.6064283557715076,0.8236651140946456,1.2486539356146271,2.2565612833366155,2.441688719490642,1.2017318921384892,1.1312237985467766,1.4187272924543368,0.8481484715550413,0.7479984749267627,0.857810728839388,0.9439014856199743,0.774805637693825,0.8618850637158444,0.7505546931121921,0.6411507169368984,0.5526484065123011,0.5529729157924623,0.5433444291302075,0.5233689537555098,0.6142387383457584,0.5779384263424573,0.5198837695407387,0.6690835093549908,0.7215636822737264,0.6496836840560785,0.7102053855873052,0.9447825097460847,1.0014051736194656,1.0837310031903473,0.8044349615191609,0.8305145331750878,0.672897100802596,0.6347797230059021,0.6956620316354998,1.5170225951721616,1.213878906152765,1.179786757949345,0.9259036202686227,0.8504100535023891,0.851866620697532,1.0796386355470597,0.9169287809695091,0.863100721191748,0.9520749980348792,1.1432746976692678,0.9690234735517451,0.9202665669081466,1.3596889181026663,1.139587278507981,0.9902138219595812,1.1573260897994682,0.7890943752687136,1.0807035496063042,0.9590138736023717,0.8608417310909471,0.974027053764804,0.9652234191521103,1.0575465643448805,0.8739146655085267,0.7988057192740267,0.873238255711871,0.7952677798783222,0.5802856813221835,0.6006784511470328,0.6444348879436878,0.5245938774081881,0.5298649135933085,0.5437516386546233,0.7131591628305719,0.5978231780598248,0.573280431892473,0.5863373316508846,0.5714365854792284,0.5965047547857902,0.7307660809280542,0.6060010106443356,0.5904646898989486,0.7038013844047346,0.7215669322787341,0.7017085773803078,0.7220206094472064,0.8439451026520941,0.8857392153983467,0.8316596267000294,0.8444436062241295,1.029050763867253,1.0850698356774346,1.003526318726471,0.9631105329824681,1.483812048950965,1.595323818351234,1.0677731804639794,1.0968047160762584,0.8484996180346505,0.9815313706280655,1.497322733649575,1.1340382356334107,0.963886261342334,0.8227995101670555,0.7627319871530429,0.5652152495566161,0.5677191676818255,0.463593962086324,0.7297663796635294,0.4620157732684455,0.467327277113788,0.6129261983543253,0.47202299019860555,0.6936562198305737,0.46279085226381417,0.8123966439753327,0.7156774849560407,0.8254686178495606,1.0333084700438804,2.174394590804482,2.655411394364599,3.884657603455802],[0.9014177362672315,0.6229448278209777,1.0631958187186932,0.6442087364749296,0.584283080442858,0.6210068875631288,0.5260561854365202,0.5261011941873053,0.509744399199619,0.42583561327479025,0.41473758518376275,0.4706818400143663,0.4122563788390584,0.3508743972430348,0.40393130560336227,0.38938019902696414,0.3740858804862724,0.3917565476918804,0.5087144696311511,0.4260477843241415,0.5221949140762528,0.5793739465250898,0.7788293537264103,0.8486358990232611,0.7058729581012935,0.5471279790304702,0.43490224143351275,0.35246250675104857,0.363885432066631,0.324933679251151,0.4015529619452704,0.3570965242546012,0.3928543933389204,0.3963938328470726,0.3850189131561202,0.38625599190169324,0.4065397082289398,0.40146578718295384,0.3396582776197989,0.4405194013471379,0.5222838861526719,0.4554276309467294,0.49384926129807555,0.6425740378647777,1.0641634360289123,1.356360978757408,1.3842980980544521,0.7542041169032593,0.9577943688893533,1.5632219864119021,1.0644171562356455,1.3185428823382273,1.004303397125145,0.9650313101857318,1.4177662220079847,0.9749213995387301,0.8455914795675966,1.0123022788981397,0.7991912941701801,1.403080596295872,0.8034702965759221,0.6868372840487066,0.5388924882219392,0.625653004537314,0.7111401586103586,0.5199584619281183,0.596311634160824,0.42234990424688007,0.5978426158290253,0.5645609162604224,0.8009231289639414,1.1380621655017862,0.5954546414157,0.712829498261248,0.52022328410034,0.7728814779304682,0.46019829931751877,0.4370600127553494,0.48680030495387566,0.6155778098748921,0.41166820138757393,0.6592802527998268,0.7503664653624991,0.6112842747795696,0.48823872015953285,0.40356416831793324,0.38040755779152363,0.5072250654756925,0.41580835373817676,0.4816458761324661,0.3948791109793902,0.594543370796249,0.5317319112683869,0.4018741182205344,0.3976686915372792,0.45756132159427276,0.6326912689870605,0.4244689806422732,0.41793857713398,0.4419121789545037,0.3951873116187991,0.4892687362439037,0.4616003858980335,0.4086461228184073,0.42961882946255153,0.44215008516075466,0.534167545816713,0.4965488808396067,0.4635381394383327,0.5136410914057934,0.42160240453759046,0.42278401214914774,0.44348969335529415,0.3680820964524355,0.38057524676790433,0.36759088872977774,0.4063085821265907,0.3182586046757436,0.4142849415429822,0.3733333506199609,0.3890616513594881,0.4048596200871048,0.4193012290367635,0.3656600890369032,0.4331994609718482,0.46560623436947574,0.6844293156709282,0.5231147382898796,0.42113643438729914,0.37985154845817876,0.44763382696405946,0.4114295393268522,0.41789343658991085,0.3582309920092165,0.3534321423961909,0.35998116678729547,0.47219255691518985,0.27977002609890655,0.18576784449870437,0.24774655681332633,0.3063981172900231,0.5353446605523994,0.2891676623185074,0.2601370576363797,0.2821395729589337,0.27891544248579947,0.3207650115800955,0.35192590465489765,0.37596436156506435,0.4885912845913574,0.49586927783644574,0.512330076802535,0.7321394508985374,0.8876556863336562,0.7414266053819691,0.4700004879307059,0.437662741079516,0.3984336403831896,0.3980876345837457,0.440958861803869,0.36844522622934384,0.32002340862653056,0.2912847278821597,0.36158480469587234,0.44884465713761584,0.4983259637824358,0.68692937920577,0.9471232727406417,0.8342009373883057,0.783432361699378,0.49379351352276984,0.34582131918486214,0.3491595378023472,0.3400305063201153,0.3300896649648736,0.35377934171423475,0.38728376970175393,0.39449141423403544,0.42672256128286606,0.4157516276183471,0.4704967084869762,0.38182393812187126,0.5084589592518051,0.6084218683523921,0.528195331777669,0.5296850424249782,0.5048011289556896,0.7425229387946125,1.3325592649912026,2.188819492837708,2.4257048190249875,1.184952756221827,1.1500171568143502,1.4861169578573952,0.8841957312229555,0.7173494694407876,0.7564183926383576,0.8517045357876866,0.6895132359471591,0.8070020339254919,0.6556274213786139,0.5792376597080997,0.5275404244881574,0.5003621915297953,0.49538574642845895,0.5533252476983116,0.6307624257547615,0.5739136227350484,0.5505872720775418,0.7385524001709126,0.7614019428261807,0.703315627513651,0.7972933097146623,1.002103734686947,1.0469284010790734,1.1107342589684206,0.8194193407789341,0.7926686746498739,0.6408313074731078,0.6130006143800977,0.6536032333425988,1.4582287277294457,1.1559209625462654,1.124338140496114,0.8351553397409678,0.7342321121389039,0.7338625871646699,0.9231768195000786,0.7924669162283575,0.7470107568794394,0.8283356349635442,1.0197996906340354,0.8880412908709368,0.804004188709241,1.2247778356840875,1.0507954330039615,0.9171451798529131,1.1118179154805459,0.6935294938865938,0.9778945621158668,0.8280057801593455,0.7492410712344395,0.8615310707491064,0.8417578595251975,0.9429745149589239,0.7633726056199688,0.7121813841362066,0.7663258411244749,0.7206155285770633,0.5402367990447985,0.5858318827954495,0.6681159167277809,0.5790200749303813,0.5556332556029837,0.5982990108627136,0.767029134314233,0.6569569029303443,0.6113284484639161,0.5914884010294384,0.5363357157102542,0.5411460471317437,0.638556623846388,0.5506843747353812,0.5543892669251299,0.6256311845916471,0.641599611410169,0.6439612663240022,0.6416131944902861,0.7482192803096421,0.809238638101254,0.754941990920327,0.7697487104576367,0.9564972783947742,1.0221885877093735,0.934505525059572,0.8952874610328172,1.410117185513007,1.5257330155306463,0.989991308006419,1.0369344246172776,0.8216406078470475,1.0168856024869701,1.4816149024278726,1.0737036400485178,0.8480241441646538,0.7259368101447129,0.7302330732819143,0.5388187505926015,0.5293796389239521,0.46201527229756173,0.7913818815173985,0.46508128094771545,0.4728634614373507,0.5812731736897854,0.5001783015361928,0.7711153855984074,0.48008980123997325,0.74778570571552,0.7580430830085981,0.9147806018407802,0.9571828105096878,2.1466624743393212,2.5417248145040747,3.686412282898287],[0.9618229485797481,0.6865412290522452,1.0858994984875463,0.6605512385659075,0.631737817069964,0.711685107490691,0.5918124359561089,0.5742214435206499,0.5982087356225704,0.4886169314973105,0.480467632987737,0.5408975863231642,0.4785533113355141,0.43307064734985895,0.48874858507400115,0.45865266058089355,0.465655613885293,0.4957146250324039,0.5972995716619637,0.5500734368287412,0.6548811271894238,0.7185591530723974,0.8940501309920694,0.9353301913002422,0.8195807997038302,0.6696612307175027,0.5628108662534529,0.4925025143141047,0.46543531607320093,0.4032177733904346,0.4957711971887303,0.40913557788513144,0.43674404344859225,0.4388582522568296,0.44337397065364403,0.47620009611637015,0.44240600886487025,0.4423330541935842,0.42802114224999743,0.49628225039102125,0.6098029117177347,0.5684391667099503,0.5892469900288203,0.6970049577168641,1.148778481958394,1.444345447743987,1.4531793793318795,0.8085333464436107,1.0004159407333393,1.5945910584547633,1.0779309787373295,1.357106138391163,1.0100588472817424,0.9364625922238746,1.4477472711848223,1.0263427722308671,0.8826638549900817,1.041553755611432,0.8454022285002629,1.4306159563217389,0.8801315560633575,0.7174262917081349,0.6217286675863273,0.7256307409986514,0.8158947559684332,0.6213171310914105,0.7300001977649249,0.5533854234302861,0.7055746129430533,0.6698346924690459,0.8448772786504247,1.1707534365835273,0.7174044606161105,0.820123747557703,0.6076618891648597,0.862554958728651,0.5415372694996775,0.5029927459839121,0.5353000134375516,0.671605194299307,0.4673559430669587,0.6945387356920824,0.8266416496209658,0.5574876251279522,0.5288919230306387,0.4522539430332336,0.4624283148861997,0.5595264120636868,0.49943208703497116,0.5462348081594957,0.4910929845294655,0.6916965512001828,0.6003775907894586,0.47837621330939256,0.47521246522705046,0.5443808118077277,0.6466448657966777,0.49511965701859617,0.47692759201694135,0.5060609662966861,0.4581464131039743,0.5459019655664064,0.4700740419132938,0.41043186764003076,0.47205139985564104,0.43860304379550574,0.5591610863172012,0.5499068989031348,0.4717865413624291,0.5492248900851752,0.42588483587166576,0.3976843632117028,0.4593585720911648,0.38471746215774305,0.46354113840885436,0.48195636046634954,0.5613510221604036,0.5092734382820925,0.5851354689845658,0.5196972057898445,0.5397240915619264,0.5731421721344208,0.6054482297973475,0.4460450440187798,0.4744575692841714,0.4180154883962456,0.6590923080853706,0.4933812024578984,0.3920818631670535,0.42696719528747945,0.5472582882194085,0.5313533335763627,0.5371994706309504,0.4588918620808762,0.47742020844575117,0.44710091314072625,0.6462752053576207,0.4189176330452573,0.3152945217829949,0.368971404941968,0.4852710692100416,0.675849837391918,0.46513529717272145,0.4080941367871757,0.3896361121657897,0.366923409969076,0.38169909067368774,0.3874950780839009,0.3690111360890359,0.498526606393896,0.5068013343430071,0.5459035582079635,0.7133080463475462,1.0488782428071386,0.8508111564970601,0.5033681535138147,0.4820707764777262,0.4157281396179017,0.4326585696486941,0.44243941776011303,0.38322351487029366,0.3446544178202306,0.33900862663333775,0.39379279399431544,0.4998520479011272,0.564682438797983,0.7462002486588754,1.049271722394818,1.0369003114990831,0.9248863585794574,0.6328883137440627,0.420283937013945,0.4149158806446145,0.38357833404519137,0.3544919116934804,0.3793476657961021,0.4316396891786653,0.44425210825974476,0.43383432924322607,0.42977545997666955,0.49974031017104475,0.41751899771274475,0.5477098601074954,0.6538295454723648,0.5932931255793302,0.5788990504358448,0.5560295077630355,0.766661751265056,1.37407105029598,2.155771808417194,2.3798574844610063,1.2031298068689016,1.1692528191581564,1.4976756273534846,0.9340231187282989,0.8436210655891908,0.8263150327873784,0.8867011520275001,0.7524661635195257,0.8132611554951328,0.6501856458653048,0.5439697533230018,0.5043393793930685,0.5347786655629394,0.5129490863739451,0.5597342405885458,0.6846234817655552,0.6434213552748671,0.6150526286334862,0.8305487583173722,0.8699214238113694,0.8371764693969175,0.9243783186511746,1.138789088034489,1.2135893444837582,1.2532085859394897,0.9527438921173269,0.8738513944958846,0.7148696968679186,0.7200183583021345,0.804403321910535,1.4416245355730455,1.195670327076343,1.1550161959547236,0.8576648457898163,0.7380602802089431,0.6902166278689096,0.8563214532149561,0.8261035075716348,0.7583934729872891,0.8378011580061039,1.0430615264883571,0.9861341871663074,0.8606092041209362,1.2083407960716324,1.1758945269662096,1.0636720845177638,1.2369843842238564,0.7909284041263059,0.9657496163795392,0.8141900076171719,0.7135489571474701,0.8333722614252916,0.7606910229087034,0.870097683224465,0.7219986808414495,0.6763333241717017,0.659829545155591,0.6502194383485977,0.5397354376783917,0.6084545984892629,0.715780940904798,0.662757073579221,0.6284581007801879,0.7107738666842035,0.9046500918518434,0.7606582265326427,0.6978946635766058,0.6492644874809984,0.5728069633657699,0.5825326200526101,0.6743808607436278,0.6178467331505687,0.6079880136934103,0.6616535593818975,0.6967418780691428,0.7038934394094422,0.6963967701198391,0.8182483194541057,0.9114268618090882,0.8331001772084231,0.9229220891864759,1.0586488894414205,1.157031654967333,1.0556319614665186,0.9634178636006531,1.461885187033428,1.5296350566941488,1.029651097209994,1.1100267110136537,0.8955374129987126,1.1199912074504899,1.5691541322885263,1.05945011919157,0.860071726383528,0.8762973353630499,0.844394630350512,0.5689958908895311,0.5770923329150284,0.3989920439161585,0.8242359498402135,0.4506098365245618,0.46868578001752564,0.650112082082201,0.5192924154272149,0.8388004383996936,0.5598603722321243,0.7343483205986495,0.8769802387283444,1.1083326862355527,0.9124250844580473,2.0316571530314023,2.31232278107899,3.274597117242494],[0.7934913044044006,0.5197617358618953,0.9706003619851131,0.6078716953920559,0.49516535976637005,0.6563571431873035,0.6430962419748384,0.64789121753017,0.6748195647027213,0.6371376418353998,0.6456873844958153,0.6873067088579549,0.6335816925580433,0.5963621191099808,0.6071327745840569,0.5742958309678102,0.5472148216546127,0.509813523805052,0.4986171784757864,0.47739290894244985,0.49854220239777475,0.6154562627548075,0.6903918568224665,0.7146775406252619,0.6310913886776103,0.5314653826634225,0.43784619244724804,0.47655034748118713,0.5103657076911016,0.4991382632707471,0.5458985984555595,0.5516353036963452,0.5855721582349108,0.5450557573936398,0.5293611619544549,0.5176657796181736,0.5347547553170634,0.48981502780870045,0.3895900085961592,0.3637634877363362,0.44546088402744055,0.47874976434436595,0.43641043942595253,0.48983269666071017,0.9083391803202545,1.206444516108085,1.1462272276390215,0.5503480396057484,0.8519652968028754,1.473209345835464,0.8753589280270512,1.1990986907870478,0.8021851532836741,0.7857975907443696,1.4462241341112994,0.8326610142990463,0.749538594055138,0.9117101609791285,0.7111828135534575,1.171812826379023,0.6932248728868258,0.6577584212029313,0.5641740842634383,0.6308589355349059,0.7416700432897657,0.5580855021465674,0.5949266342553499,0.5291051696630648,0.6085687724517016,0.644387299847166,0.8377742444211185,1.0642099432712726,0.6928218917805221,0.7173573930810812,0.6275512221591597,0.8112714563898549,0.5618495217805777,0.5536084303830084,0.5929107482685162,0.5883940084606373,0.4693262015338277,0.6569480150934234,0.867085606635313,0.45425804352511834,0.3902354843142274,0.4465404867304833,0.47818949311471476,0.5732666095563425,0.5313144631221854,0.577949370411797,0.54287215477821,0.7020316870564308,0.626072752398378,0.5807882761705613,0.5833563347867216,0.6220381016552105,0.7408339211132526,0.6112494220704824,0.5921559543345206,0.60251234231072,0.5452761028038261,0.6151317565773606,0.47136988977677297,0.45723401319964263,0.4475480574768398,0.44739442621715036,0.5354866549564846,0.4854073673178421,0.4252912936712509,0.5594382432945773,0.38636220457974096,0.41740005054181273,0.5708731285988082,0.5022114463705729,0.5604970632636275,0.5257207550654143,0.6317473114345696,0.43226535070779576,0.4641220604786256,0.5430460042422869,0.5194898372859458,0.582914608790087,0.5678945655141343,0.5410009035262742,0.6220383118282631,0.5212045595773688,0.6576467928504363,0.47954205793469395,0.3329469878477196,0.36048224020749847,0.5373767198892868,0.5301838593933081,0.48084617090731835,0.3868198667645984,0.39040343151485957,0.3958522030720545,0.5897947785494115,0.3036419035248712,0.33574121958951614,0.31405399098873416,0.32857282131286775,0.4950952059574607,0.3698851472277091,0.3647418118639586,0.3506387617264444,0.4294273386210428,0.46699880084188033,0.4879468646563202,0.45468740613551506,0.6114347780789492,0.5392109166839756,0.6045757280000064,0.7571374248457526,1.0303014778468804,0.8494681681503524,0.5888564104641162,0.5803567959792254,0.4952998100712217,0.49512171097590174,0.4669504841161953,0.3544610602817096,0.4097640575402809,0.3287214189795912,0.29218692495508775,0.3509988046333924,0.5060791741253609,0.502793437452333,0.7348062106538311,0.8150271802501451,0.7681447100683167,0.4872310778666817,0.2810259272971924,0.2963022047819652,0.2972854373365618,0.3081288846116496,0.38404741293848005,0.46488640836315037,0.48399953032450554,0.36532199099034357,0.3744880024282947,0.4395057283067055,0.3524780872497594,0.44653833417915223,0.5460019484774445,0.47313177977236853,0.4400858379740306,0.41235129247420066,0.5246271561633616,1.5351603114084955,1.9465986648663918,2.3063244788350232,0.8703133302508597,0.8544741191612248,1.3080978738285995,0.8581400275427343,0.705761066300664,0.700228740409567,0.8467239799605057,0.7604059800054733,0.8600683889827323,0.6319307567905957,0.5133084522205563,0.4760712503508455,0.46578257721115984,0.4272336205945085,0.4533087724412131,0.4606090948485252,0.4093264891977316,0.4319868065386822,0.5885786017985556,0.5745686678175072,0.5410992393872788,0.6676039653875768,0.8467373348942953,0.8399901154573027,0.8908371173469385,0.6823590452279085,0.6148427803208895,0.4941279529049527,0.4961823350866443,0.612528594948197,1.479257320928828,1.109129724104827,1.0695060977447342,0.7606869135399172,0.7138002600315246,0.7068385000322398,0.8334706987182461,0.7742974931090952,0.7263095955960283,0.8004847583584386,0.9440170076308771,0.912169458617154,0.8140994843178844,1.1698656085750099,1.0502874579011192,0.9871661149757123,1.1875854995325,0.7609725273827809,0.902549836530607,0.7791076263090783,0.7128387833108709,0.8042307522967398,0.7374165271277975,0.8590711219397019,0.6825251762996641,0.6160533589318331,0.6712938013006113,0.6372957721809903,0.4687014229768665,0.5372194012081275,0.6426308493713024,0.5171183119987537,0.4944486302797233,0.558581828031298,0.7675493862685085,0.5557211548253433,0.504118442436438,0.4767098796928775,0.4293266020292086,0.4663482386478534,0.5357889748338828,0.44998663584745985,0.44438768862972844,0.554489890918362,0.5538085872789013,0.5580500252834366,0.5982433501652732,0.71126795603124,0.7631113724287645,0.7386051249690012,0.8380664992690449,0.9824196155543415,1.0692302008820849,1.0110239726533743,0.9255164903607211,1.335309799811336,1.4619937521111366,0.8047290998972245,0.7309583556702043,0.6065053297553704,0.760762307911248,1.114943754832552,0.7192133614603496,0.6800490569979669,0.898522334182844,0.8651927149229954,0.5197536100271267,0.603755790669186,0.3271428983553478,0.7088896230516867,0.3621347871752428,0.3738939340371639,0.608011549399464,0.4472767302078954,0.7262466851675615,0.45644480528761194,0.7160580788879803,0.7758913100402017,0.9311461247956373,0.8902649061938402,2.0970856478996613,2.5040194066172172,3.5044192747896825],[0.8510059433011348,0.6032396653711862,0.9859229225339199,0.6022449917621743,0.5182318132034863,0.6094253417834352,0.45316083432372223,0.46325020309837783,0.470719636869579,0.3213537945381833,0.32696801035107464,0.43179832159192877,0.3553123928496722,0.3008425543738782,0.3448043799131243,0.3495997762086461,0.4036016055663469,0.3895850447928725,0.49545470804718006,0.4582624568436547,0.4869372405199122,0.5539762497155286,0.6905359140607341,0.7312861942294029,0.6417588587430769,0.5192404906292268,0.44721223935970195,0.4408341096594086,0.43361118011113,0.38552129997510687,0.3974282602813565,0.36214736307295375,0.3937881078235145,0.40216013414129387,0.3769065788703899,0.40950115543236065,0.3968764887041345,0.4213858357324476,0.41946878811714833,0.4648760601876898,0.5528744895503049,0.45937037576170775,0.4930401841220545,0.6396677285524367,1.0248521019319425,1.2913617996462432,1.228774773730735,0.6698405281204056,0.9376201670835299,1.4330793655647183,0.9009627030145259,1.2968186817435556,0.9257992432838901,0.854147497734806,1.362633046765259,0.8918113203622645,0.8848463733702052,0.9651785659364616,0.8208254602958871,1.410650689449792,0.8496684920879641,0.6776467166653436,0.5277955151191029,0.586200550235455,0.6065361726775931,0.5258696598152609,0.6251326750372733,0.468214249491922,0.6338328236055023,0.5784527065086612,0.7985286577490621,1.0513460005961666,0.6654300943109893,0.7674372917103672,0.5237798584944924,0.8549499112647265,0.48007386570033905,0.4487641656571183,0.46721759013560993,0.5619828268886672,0.465900183634739,0.5804712440734477,1.0054292319889295,0.5025847593275861,0.5174601050636058,0.46844074797741053,0.4097389918507359,0.5318550132193275,0.44697454431878414,0.48093109303210274,0.427595595247681,0.6426831123307025,0.48482307561104665,0.37163921963248564,0.3719401772648405,0.43056380398922733,0.5394989173082325,0.4424353533316684,0.41149084339911834,0.47246382279967186,0.424521561370228,0.5486899139224662,0.46945607010712803,0.454425851303904,0.5831455463844457,0.5638764221671798,0.6778073575911245,0.5840756624873381,0.5625689587491379,0.7008279726378395,0.5060635023301796,0.46437926329869356,0.3677957243664867,0.38028854496299125,0.35999323085170654,0.38549684527771777,0.4848277946371499,0.42570106827583565,0.49721511333276486,0.4304603424171659,0.45818987939196026,0.44364669612199076,0.4673447190678303,0.33439570853091366,0.27313362775700595,0.37818130914681825,0.5782117788126326,0.4813289585312338,0.48716607010676033,0.5181609355739696,0.6810200990401848,0.6869679286355609,0.6337802982802376,0.5766485026075324,0.5832182146098572,0.5686397595060751,0.6713558450501124,0.5690175152048773,0.3820284613431715,0.39662547227966427,0.42628970464910515,0.5218526058608346,0.4049994016124037,0.39074169919666535,0.40845078755200964,0.3899527911729597,0.3967449892744692,0.40973621079044353,0.37222730792069647,0.395842579451802,0.500903700681225,0.4979456345983412,0.7181801738175028,1.147531610248621,0.8390726427139942,0.47184366020664936,0.4210916098001717,0.4114371773455459,0.42659121017980767,0.4796340601610723,0.48803312804668497,0.4167335783992217,0.42511634153669314,0.4757798321072194,0.5856057108014624,0.5646857467279056,0.6655494401401016,0.9158642120129342,0.9747897827686685,0.9145575592891534,0.6577523151220472,0.551469548156225,0.5549967585129094,0.4865640715425668,0.44529335584882695,0.5004322296844355,0.5216630094643008,0.5681387050804491,0.47841347144157054,0.5255015509118908,0.5444771124391662,0.535811049187091,0.6248146141210664,0.6693855958233812,0.6182584713569506,0.6165660169977129,0.5552265462478878,0.72538148989692,1.3324679286564878,1.9303164714127283,2.236328421141097,0.9707548558859815,0.921607120930937,1.359228318292454,0.9273957745734581,0.8014173398514813,0.7750603503218157,0.8998185737450127,0.8311573411805298,0.9501182294053918,0.6726958788196749,0.5593453141301603,0.5742990745038482,0.5569760776236957,0.4786666268309804,0.5017143367608194,0.5039077194765049,0.47724631483960467,0.5123348055754351,0.6744555107343195,0.6731850312757033,0.6878511137512455,0.84943673109744,0.9945966128781588,1.0194018841725119,1.0046527136528387,0.8467987097207476,0.7294550392668039,0.59370959516916,0.5842511560596604,0.6866465673354689,1.4898200072043226,1.0233014302108603,1.1849610646932502,0.7902336970538627,0.6926516490089751,0.6984799746227786,0.7944218820839798,0.7774771923197973,0.7095367456024658,0.8151805625678546,0.9477807562015056,0.9799609868541912,0.8463142243228767,1.147589032390208,1.1163052408829999,1.07122856456681,1.2603202197516188,0.8450341527863325,0.8998652321209488,0.7688827462958153,0.6674336419752769,0.7776209753125144,0.7411041894847147,0.8591952783443648,0.6870398448692068,0.5891116459990473,0.6706776065025281,0.6680786183108854,0.517281822636161,0.6218467453457988,0.7639396982942486,0.6340864945451093,0.5854582605522697,0.726164623060061,0.9211702407767324,0.699419259430342,0.6432362908886664,0.5625821178028731,0.49267736070732926,0.494323038382169,0.5330189325366783,0.524120281429198,0.4994959287177712,0.584837666952857,0.6260571372047458,0.6489172067286465,0.6790348253300337,0.7850736792612281,0.9114563349799939,0.87978889451347,0.976808667887313,1.0478840619135885,1.2035649401173512,1.158105951485977,1.0872055430655765,1.4237325575507918,1.5177826487554469,0.947040075855885,0.8246757178372576,0.6652866295180502,0.8036413438050662,1.0840726403938452,0.7149384252314174,0.9892628564291028,1.4208310354274631,1.0959649011377226,0.7185168516445755,0.7611841057352491,0.483234840693552,0.6085279378860934,0.4885578610961419,0.44880417768162906,0.8033098364737635,0.49603503104237295,0.6879948572531711,0.5105444130243132,0.780800822662769,0.7393643200117345,1.004891194708827,0.9393742355837027,1.9628753985181395,2.0746662814603214,2.853613362851075],[0.780480962071293,0.6605529125291062,0.9683599360381024,0.7059466915641437,0.6156960945531325,0.46302404003268294,0.42975132824696743,0.43152512469157595,0.4549967465542767,0.3708803118871394,0.37613050656907626,0.45459842053224575,0.3901211561799201,0.35686701794759423,0.42914438983682823,0.4027476426141282,0.4112406024476588,0.41108281148801934,0.4737647481033218,0.46330266578299323,0.4907216450884176,0.6304843359699936,0.6971745853045985,0.6703084041556256,0.6206304258562086,0.4974442314260806,0.4405073469389324,0.4228828377662537,0.417886086974203,0.3657754708411857,0.45478152521848886,0.3696518438454774,0.41383801749316884,0.4319870093979095,0.3937585061707854,0.41039782651563,0.40796576324380646,0.414261948395506,0.392282117307684,0.42944780266550825,0.5388033031748555,0.5127766913924973,0.5063347625812017,0.5509054738785962,0.9376894925606982,1.1953462069059477,1.1433280144204645,0.6388098679271141,0.9939765782828479,1.4951129987143739,0.8622942173925009,1.1760500731878258,0.8886344036499056,0.8438545870265536,1.3840401307110775,0.8476803304475583,0.7775137702491326,0.963051461305479,0.7343814825985642,1.3162070560516361,0.7552699150046063,0.6166342276730413,0.5086622096951164,0.6317344666941965,0.6378822913007964,0.5152924687978558,0.6310443834212434,0.4842932418225929,0.6088534431917314,0.6259925533490602,0.8296666673520039,1.12679891095548,0.7023088005524258,0.7383561950348893,0.5878432654114342,0.9250599170679134,0.48497794423946017,0.4537787677351123,0.47746701367417044,0.5477158441531406,0.43903004451623556,0.6204573709337364,0.9451874138924425,0.40820630645650796,0.5058133734930309,0.4347806510974904,0.4205010335442036,0.5357610965877133,0.4471146200369597,0.4919976930896986,0.45844642663128465,0.7025100167390989,0.5562776281175084,0.4428882335380995,0.4289687357212448,0.5075414957484251,0.6172325956438398,0.46233051726063273,0.43449184235210686,0.4569608441457543,0.41123033703563683,0.5154247382626973,0.47193404340102885,0.4070252037254476,0.4603981548252609,0.45219977260678895,0.5273990728870098,0.513748145651249,0.4575082829068475,0.6570942842709339,0.41144359437726746,0.38592433620039834,0.3509003143720973,0.34724728074161293,0.3767685810792886,0.3700729286658371,0.4927613423655165,0.3511337660320972,0.440694993003578,0.44565158438387387,0.4436961096491164,0.4683945100461536,0.45233556334661085,0.31015448133340123,0.25760986485196846,0.2948698217127183,0.33708474001542227,0.41062736695186247,0.47633212316839213,0.49339167609364065,0.5457900471379331,0.5326458564267216,0.5279149601862507,0.5005949425453718,0.5057234821471192,0.5530697848912861,0.715558011685753,0.46629115552850803,0.3848035268794017,0.35840923323393203,0.47855321724575195,0.4846865796554774,0.3995366224624431,0.34151575488952657,0.3494814532908692,0.36955185303295673,0.3634979587353731,0.3735095675165165,0.32822634410683055,0.38724406094102964,0.4790449888643646,0.491299589529817,0.6513960013277752,1.0787397901845406,0.8919702272073616,0.4550264488099789,0.4111747950309596,0.3907225254986271,0.4064594535903992,0.39712180243277595,0.42451202478473127,0.3820043181346514,0.3699832272800162,0.40974518788680214,0.45331953393515473,0.5962110794237423,0.6023263753876897,0.7929868090054917,0.8140228227974171,0.8136277318310661,0.5923165715707136,0.44058525619438765,0.4164155260839309,0.39893561548993317,0.37485490382428743,0.3957471510834104,0.4531066801413236,0.4760187811564051,0.41585908691301193,0.41530742924553143,0.44509205660309487,0.43050734304436156,0.5080130198406243,0.5654633301572454,0.5370533614644147,0.5170832584577976,0.47443598387008556,0.657525574564652,1.3404914850203813,2.1687960626554523,2.5641317250178903,0.9554525768566018,0.9817333981691145,1.3070193989159187,0.8231648700136682,0.658919344214774,0.676144120686662,0.7087590599463964,0.6643303351343721,0.8251052280637793,0.6261004838005134,0.6079168451614839,0.6106209034800564,0.5630393495488137,0.5499556280415439,0.6174150360743911,0.6407183238045769,0.564618714174042,0.6250214800959113,0.712118634266654,0.7098082187798801,0.7157614630278544,0.8229459721889433,0.94473703856022,0.9560040433538771,0.9901227897436315,0.8485963498745813,0.7555744012509041,0.6401356372675437,0.6404948314926241,0.6915284243769915,1.5887889095380976,1.1002504109877689,1.1449391464649736,0.7721324215486006,0.6963202538837548,0.7091214999928448,0.7512837836292395,0.7395712672784543,0.6793447464494282,0.7420955229738545,0.824616595524249,0.8454838012064367,0.711145275197542,1.0900504564037696,0.9370817793859348,0.9135732786427129,1.1138442547967657,0.6860553735031721,0.7935734716747135,0.7054383529487439,0.7194094083266391,0.8428548949351204,0.798334481362525,0.9735790014991194,0.7527481668644284,0.7007340152184931,0.8359554871904933,0.7684425845683283,0.6598375684112984,0.7585991802856756,0.8703714867515773,0.7389951796175842,0.7168396268148406,0.810181689668318,0.9843767820324774,0.759253788493689,0.7172777516174218,0.6506129930206759,0.5947848807124863,0.6206118799677912,0.6156472513980685,0.5969923448319815,0.5776276895603333,0.6138050546504573,0.6118400962380005,0.6376748934262925,0.6386805422064563,0.7012142821464786,0.8414407567866421,0.8002546225593983,0.8329456394089755,0.9457280336280229,1.1089160650077396,1.049174283305916,1.0044949917178403,1.362641251201639,1.5013803309825322,0.9296516339400408,0.8429722153216966,0.729287786085658,0.7892589409713822,1.0560556974151363,0.7779475573445048,0.9160527141818039,1.1710558762298875,0.9457682340151091,0.6819475665784914,0.625417063375144,0.5675792965245813,0.784628593331135,0.5443985741490049,0.5768191252336745,0.9335458086304087,0.6262164838492728,0.7961176435427627,0.6809807522664139,0.9522065123515143,0.8443491348145983,0.9444607519388178,1.40460669843768,2.2963637290457797,2.5190373164236024,3.657120631823687],[0.7410974075544995,0.5899779189698592,0.7784354442588991,0.7039352836598238,0.5074446271683231,0.373147195519204,0.33761174294028307,0.3406407917148623,0.3942214310375714,0.2830396188500227,0.2910213994290263,0.39282460263455043,0.303644111901412,0.24766041472127526,0.31551579266651064,0.2858383165910043,0.30093603123869395,0.27616745099189627,0.33928371295541404,0.3335332423676516,0.3419673278452722,0.5161283968998378,0.5791262878275061,0.5591055899310788,0.5023884703788527,0.38486393192668533,0.325459565280361,0.2841752396059681,0.29558493223233984,0.27497546862531586,0.3547754180710359,0.29150672607899913,0.3561312715746124,0.3554774338320387,0.297670408265989,0.3081424541021006,0.3068057640938761,0.33316405827041046,0.3033391061122369,0.3259998473464072,0.4893216671551401,0.42715826419179836,0.4170303683209606,0.4631296804315139,0.8477765755817175,1.139789261142895,1.0472498454456134,0.5619502685646962,0.9859324089898643,1.4528918519979122,0.7914750342978177,1.1183331856942267,0.834064714646776,0.7496222221720513,1.3484899209617869,0.7628671861156978,0.7395794285305378,0.8779296347851294,0.6790002767935979,1.2944740842374065,0.7162275214518955,0.5232195502902945,0.4080261562883965,0.5394919093083199,0.4944207113599713,0.39469187685308,0.5560684073478134,0.39611610685186366,0.527661255982573,0.5274301485355427,0.7547868530639729,1.0133208099102051,0.6622985543916765,0.708006406540885,0.46888645605782237,0.8836039733440927,0.3767421182746,0.3569320552873937,0.36704737399449977,0.43343539500622214,0.3574000952858933,0.5444557048522289,1.0022708080642526,0.3324256019346171,0.4462714667794509,0.3308026764612788,0.33191223261162867,0.46552818088756803,0.3308881739472963,0.39035262531994847,0.35779258052338087,0.6195682700161318,0.4806065940445812,0.3527021163465513,0.3462431622311535,0.4323171104506477,0.5233285559666407,0.40040465937587716,0.36990958789580547,0.45703388039255555,0.3606058807753837,0.47604457037875636,0.3710877692800398,0.34053581965599156,0.37040283182386424,0.39371612752426743,0.5075628816461552,0.41515087924854055,0.36220438368178426,0.6435251060864687,0.31705646708186047,0.28718983727655195,0.25304150743519155,0.24844043110085362,0.22904801061806787,0.2158887952424338,0.3589840126905584,0.25935363944283135,0.3543726462968439,0.32542088209591996,0.3115198340259136,0.30910993201101017,0.24619150198589895,0.16693539742486935,0.17422801114878125,0.2697672053680015,0.26942695406998995,0.27677063943011293,0.3121365933712954,0.37481512561330427,0.39888176828810246,0.39325507234495805,0.38502641915044133,0.41425825744343864,0.4033967280103901,0.47159989471825026,0.7007553314841057,0.3581308240533855,0.3323377723784226,0.3135778114657694,0.4947329633884146,0.4672730522131648,0.3563658199976239,0.27617535242158797,0.2760049441867632,0.2833052467712123,0.2474291076328081,0.2757309368004982,0.2108014754135533,0.31190211581077515,0.4131848664851542,0.4447758188458637,0.5942238291942903,1.1800261761450264,0.9563717151850105,0.4178632238780421,0.34002776487888936,0.32273097872323586,0.3165943990727743,0.3131305989210037,0.30584043376763304,0.2812351196223642,0.2784289931565757,0.3008882007436096,0.36872733253437195,0.5462864751373525,0.5328988085952242,0.7326691991790535,0.7703022564994579,0.7736564913383819,0.5344202514427785,0.35889907952767053,0.32739794137603523,0.29218552991714536,0.2451406598022685,0.3033994539403748,0.36289961566502815,0.441182762517339,0.3068439788995374,0.32392496456740094,0.36668858448998864,0.30765332522449623,0.38091132933438326,0.4351562332566275,0.4404715325343625,0.42300516607756594,0.41566301566844627,0.5752580437901407,1.304066210274937,2.065050973629475,2.5205913385655387,0.9396939125987965,0.8956027918854593,1.2002045816573148,0.7124834751385801,0.5186950037710135,0.5618436446484589,0.5349200846030681,0.5074433751964511,0.6757463390394569,0.4642679042497321,0.5111107011005239,0.4920326935106424,0.44484977867070147,0.47010116092112775,0.5932027519030352,0.606245047195374,0.5207708503881782,0.6522284659202138,0.7074959988267323,0.6660061960856588,0.709311227401859,0.8516903557807478,0.9248080700482141,0.904751593638836,0.9112368994475903,0.8631524856970623,0.6909826386511696,0.5717259010390925,0.5969479800838168,0.6319666881472565,1.6500700266430253,1.0180434110343006,1.1367056414239332,0.7124824166234297,0.640247218069608,0.6616944898258948,0.6349696003341542,0.6454696492804987,0.5457299612509444,0.6031968966843619,0.6712658014089055,0.757995462262965,0.5553473870008562,0.9203928451039148,0.7965664099617974,0.801571398606628,0.9939595021336769,0.5435477651466085,0.6159587265752982,0.568652086692599,0.6490656061374314,0.8036465650924364,0.8220837174190615,0.9919923541934108,0.7328456457212346,0.7083544187826161,0.9005350323921933,0.8057231635826628,0.696787973413195,0.8739458971940592,1.0131400361911524,0.8400730137014498,0.7991332743044128,0.9499553285326581,1.0796162230700417,0.8233153793847378,0.7951156642771755,0.6744134172273977,0.6171166240797071,0.6239962778100185,0.5635865585934866,0.5707644716463935,0.5442272058990771,0.5119974054145223,0.5234805783634613,0.5793815152738087,0.5361566599103018,0.5793080290412307,0.7669706448782436,0.7295782767659489,0.721295318661462,0.8241380997604991,1.0240911162488344,0.993010434491053,0.9798070569783865,1.288424303718542,1.4401302558940563,0.8943017752512901,0.7919363748163398,0.657250620518626,0.6730740800314232,0.9363488516419155,0.76872902219464,0.9865789547384397,1.2638832977818166,0.8707141648218046,0.6016446847236999,0.4832049464168189,0.46437933011757065,0.7297717787321443,0.4792140552897923,0.5724414859047116,1.0882475333924455,0.6023998757067196,0.8209713276443449,0.7076388391199145,0.9293471439309436,0.9110462655036311,0.9771865006708278,1.4942932678179417,2.414083785422151,2.6427710783051652,3.7868694059978916],[0.8029422251601341,0.6218923684264206,0.7480048010923168,0.7089296947907623,0.5105572533841449,0.39158566408217316,0.3463791486241667,0.3123604489949511,0.33121314750261655,0.209164356251343,0.23742766878748986,0.32650641788761464,0.24313621698371551,0.232532739976299,0.3391905276457579,0.2857602339324042,0.3399229852263158,0.3530650878574908,0.4472509901565023,0.4450970200363115,0.47503855543969786,0.6160541022144488,0.682476829687724,0.6666495899492819,0.5834501556010954,0.5085159894050293,0.4802950637448581,0.3903844874648003,0.34931802590775746,0.3059395553113789,0.35444418136792893,0.30885992320003053,0.34943880937668104,0.35764768725125373,0.3085431206445776,0.34306982309246786,0.3299565096560365,0.42907241978931443,0.4447236207099526,0.4688638310653233,0.6332330529574369,0.5682292170214631,0.5696543161175656,0.5824796059696006,0.9199965335075004,1.1707734707605133,1.1156182577252998,0.6829950729657734,1.0577874064399364,1.4152604087102656,0.819594414088296,1.1327453609988802,1.0126897490502078,0.8296847076711742,1.3256401955208243,0.8356049622937463,0.7825693986539849,0.954141402656023,0.7529060093482085,1.4425532339725293,0.817764059338852,0.5904553792208986,0.47695531073311076,0.6960833595916124,0.6110262707107776,0.47514950698142727,0.6610423355570817,0.47797847957251344,0.6322930925286172,0.5783574696493982,0.7611883872613714,1.049688834624968,0.7113748865818565,0.8090584572280831,0.5159484303125041,0.9837933342415338,0.44224827309187176,0.3962040580311157,0.3925444075781148,0.4887348489188265,0.4132047741620504,0.5876015301251565,1.0225102776204136,0.43843179175567426,0.5923670726446585,0.41332048275073546,0.40873966708716897,0.4978348377525905,0.38341675699871736,0.4278023697890482,0.40383682769298834,0.690827345581117,0.5212526535480348,0.3676332109970779,0.3473979536396434,0.4607997773227232,0.5547946367585483,0.3764005950917565,0.3437409433425497,0.45875565122203554,0.36153397763080647,0.46209779631661535,0.38987422536701777,0.33899736105926853,0.38363456387688677,0.40188738358054316,0.48491141511643626,0.44587242513994524,0.38149336502585107,0.6559043176137117,0.337350444475949,0.33410888937677385,0.3139857047850448,0.327394845759238,0.2572705097880637,0.34061421482900855,0.39425605197047997,0.434189110170454,0.5383761676000307,0.4009544179229662,0.4279807920324489,0.34775898192262106,0.37647303745188815,0.27030109804779745,0.26030800373863294,0.3220089155069506,0.3163883510232095,0.33270361110921076,0.3774916770952651,0.43109570630455396,0.4383301266084018,0.43000276429181794,0.46368163869953466,0.47555957456396575,0.4778433082579948,0.5331824973915068,0.704735328679145,0.4484214939433322,0.40551004559941256,0.450174269136074,0.6636527743786818,0.6537520555298927,0.524380841742322,0.42553160142542995,0.4269703137340063,0.41916805368932436,0.37047038286336764,0.34334334610626194,0.26993372469659715,0.32326320821028776,0.40961211778256323,0.4696382642572394,0.5904786844501781,1.31415343690165,1.0698752276321846,0.42047978749290743,0.31935891328816,0.3208619344524367,0.29686643222208653,0.32012225087967494,0.36713402967033293,0.3893210424892052,0.423585110570294,0.48005374701967435,0.4955504239054327,0.5978979572569807,0.6142767073821976,0.7987634449841425,0.8004338304542461,0.798814052333995,0.5920083381408483,0.46346390897333967,0.4388509171816301,0.39332001389365007,0.36098801419783555,0.35904478045457333,0.39001853591662283,0.4670243002621638,0.4011950494791052,0.4061093362858546,0.43694110810160786,0.3664539637049703,0.4487722801642923,0.5230365776878863,0.5191804688025862,0.5340748935589198,0.5169936160305861,0.7360192569168231,1.1858508120195523,2.154858004390519,2.5754233028783893,1.0477832367448356,0.9774674317958119,1.2925627489655631,0.798728715300431,0.5834472279005637,0.5953545050181311,0.571238772493167,0.5312483034306154,0.679400284639001,0.47467683287505463,0.518075178564207,0.4986401692136809,0.45375204109927636,0.4877400545629527,0.6177958477387352,0.6196828185602616,0.5420004171163074,0.691223234050664,0.7437850518900491,0.7065530520776664,0.762114938732838,0.9095336505573728,0.9784222835652645,0.9763460108717222,0.9694959187264244,0.9282924686271706,0.731659432945749,0.5933270043821588,0.6244510675113892,0.6661683490320545,1.6453079362585756,1.0140436682125302,1.1531555360512682,0.725357738927564,0.6525970364907315,0.6735500234110179,0.6357885156487213,0.6481806085342214,0.5472807464374514,0.6070497172898346,0.6899248169234449,0.7669897766689924,0.5725482557970061,0.944356055778806,0.8518655767753892,0.8330855548744381,1.0354574540535986,0.5611246782893337,0.6368253915939672,0.5851486009456093,0.6529027228084744,0.8162428320347175,0.8504249586903931,1.0193887059336846,0.7472077871120225,0.7351721382815068,0.9398635541355546,0.8290796298430533,0.7357523328787887,0.9328513390757864,1.0822257637993096,0.8989300370368025,0.8596208618657887,1.0378470387623995,1.1571708685930413,0.8836283482640073,0.8669901867992584,0.729238997848789,0.6644272410984736,0.6591203736478275,0.5875339615940683,0.5993444811636371,0.5629750038753437,0.5185978861611761,0.5342585577138997,0.5965426793183859,0.544137556782131,0.5933780031755638,0.8030350666696653,0.7513974042717856,0.7423285648486713,0.8492174890786339,1.0550474556609526,1.0143598462202927,0.9860220991075591,1.3142502862436414,1.4281370316613753,0.9316215772969337,0.8128249120519866,0.6796445067701236,0.6960903184187179,0.9343870834309674,0.7720363472862954,1.0119554259463235,1.2853550430265033,0.8722705016885185,0.5922514291177599,0.49517566841821026,0.48465416811540873,0.7257257182401479,0.49023952091408296,0.5906479767652588,1.172668589639505,0.6068083948451956,0.8269633269959817,0.7346283595184587,0.9208835354201523,0.9217950554257603,1.009903908638064,1.596200687902407,2.4929490854279437,2.75852607389655,3.9393358613038236],[0.7987747880508584,0.5758925668228915,0.6823378744268006,0.6684839265844592,0.5397577512566657,0.40635216687584064,0.38064379880197463,0.31571075202893,0.22965813050413675,0.18567590338396625,0.20277536324729417,0.30334040474313495,0.2349488174264959,0.19329267266779301,0.2925991229657179,0.24818726257345783,0.28201478642897176,0.27413728889422917,0.33231839779208716,0.3531439117341883,0.3538111400658116,0.5393604988136069,0.5706729222549831,0.5483151724017098,0.4661260498953508,0.3936853552316981,0.369905090147084,0.30097359183346284,0.2835575680223742,0.26387682788501204,0.3116665885223593,0.27406462559918016,0.32269433610977655,0.3234221019191052,0.2651148358438229,0.2762282266361665,0.29163309551928723,0.35663186049621776,0.3835406251330071,0.39670976335805436,0.5495144705234217,0.4781299989000705,0.4804043786537338,0.48093285312815504,0.7863578993892036,1.036319323348924,0.9321028149056723,0.5886801573078587,1.020504072846012,1.3553700999305989,0.7371393160611174,1.0856388970157371,0.9227285120030082,0.8049666005846028,1.338686444631209,0.7478134907609149,0.7499852251381061,0.8592205211592676,0.6800365049212737,1.3063210965281058,0.746342308602245,0.5161941470268957,0.4051519331438819,0.6026977413460007,0.49117024902470613,0.38585629651289344,0.5944128597296017,0.42624932310815755,0.5505642612416876,0.5174813403506213,0.7710475768361035,1.0241328881752219,0.6776471746822937,0.7276955796430873,0.4513258898182514,0.9275614669214846,0.3655925221432157,0.33271957131118085,0.3241245067013603,0.39911282452485924,0.375247491841394,0.5410161115013697,1.0699988357951422,0.42250515915661885,0.5516316466640774,0.3922467641458896,0.356539636682995,0.46028744617707995,0.30346559640084814,0.3651747807622352,0.337527835849692,0.6323631473663154,0.4687075513523474,0.33346155616137896,0.3151507844641888,0.42551630410192903,0.5300844205763735,0.34696130417196047,0.32244329881441075,0.45617202439745774,0.3476368667261307,0.4649907302008652,0.3823100948699009,0.37218843792901823,0.40998213108092596,0.4386002359991512,0.510265467735154,0.4713507990511794,0.4329809397395462,0.6968742592268188,0.3939592934968234,0.3868097094061171,0.4013205456081347,0.35453276179026566,0.28062938310436014,0.34055095069507524,0.3344020847297185,0.318848648265115,0.3943100395078433,0.3637285307980735,0.3303126816843098,0.2916894158779842,0.2851565936093978,0.265386557390682,0.28942713296668277,0.33229050371563557,0.4519332698446366,0.39184900041671483,0.4295598992886708,0.4653887218578996,0.4546939802039347,0.45298454892746143,0.47265628939784404,0.5294391263002164,0.4905838086639108,0.5316875989315879,0.7010853536388516,0.4164350256057966,0.36139082405152306,0.37818904517742086,0.5327763042372851,0.5063221288115886,0.41317154492937946,0.34118763117900314,0.34354935250580004,0.36400108071908144,0.3231542381018386,0.34411342380046295,0.3237346701759823,0.3626517188939572,0.4151246964151167,0.4903908849725083,0.5746633411422508,1.279265083716712,1.077562516078848,0.4384516008244534,0.3254544469453655,0.3521758531623852,0.3092353336620208,0.36223735357093534,0.3896833928017067,0.3754340109812136,0.37659382602119734,0.41947424676579426,0.4258069491828994,0.5301883762290776,0.5260815865587406,0.6463142682749978,0.6811011668723977,0.7104879882688778,0.5411864934624628,0.4286678361394794,0.4235929260182117,0.39903600392379696,0.3592868013390465,0.3736321608751664,0.3773527514815249,0.5065731992453346,0.3807965932757589,0.421955941706399,0.4286124880296472,0.39194368507346616,0.4498177319785701,0.49236971939044394,0.4861375606544646,0.48453926652785767,0.4681793727757699,0.647659005873982,1.1090219399655596,2.002467038228354,2.5211040903830413,1.124725088058977,0.8767394549457247,1.1931279250779439,0.7824850599136038,0.5520163183011589,0.6222039620697074,0.5338049485007414,0.531898614035873,0.6703934604475902,0.5086617361664622,0.5667364457238501,0.5276073406802193,0.4950073555234548,0.5169214322340443,0.5991250840988958,0.6611507219064061,0.5413463763854399,0.6585282206195643,0.6530990069869318,0.6302194324291033,0.6680407701546532,0.7766193340561074,0.8742744788589417,0.8262090914256655,0.8394521326975483,0.8802126914379553,0.6965602100736484,0.5922910322224411,0.6180263034567297,0.6633146045898995,1.7864881064896398,1.0225999314005436,1.1460280791680395,0.7409889450453461,0.7156083500582263,0.7484040381491017,0.7274692928673909,0.6742791604484409,0.5928385257235729,0.6336078158781349,0.6783937599129225,0.7472182375206419,0.5677049122404813,0.9605145757498103,0.750851107313938,0.7750339796565467,0.9966003067018591,0.5593052134691194,0.6401020535056066,0.6458078004795537,0.7431484628915772,0.898087962345295,0.940588557035885,1.0919685971600128,0.8191506640474607,0.7985068783384697,0.9997118275938727,0.8639695740678834,0.7462164786299003,0.9337168855334397,1.047552853901282,0.8363977241815448,0.8200603148479176,0.9739481653330355,1.053903513820185,0.803421027653124,0.8004325794506227,0.6985308590229833,0.6629032775371301,0.6764418996512224,0.622786431232851,0.6230592649388907,0.5884033498173524,0.5627210953779349,0.5617720639200743,0.6068808228803044,0.5723344985139471,0.594304908161378,0.7640152326979651,0.7404675708720312,0.706729200844509,0.8009787847924662,0.9900953066749592,0.9766727449200294,0.9946352677862537,1.293650149309005,1.4756448673705644,0.9331923576833595,0.8320961712150579,0.6802528519773696,0.6503643586288309,0.965097090554906,0.840824451672192,1.016894124259954,1.2395957491674152,0.8589496655234788,0.6474183116291391,0.5135157926158926,0.5292718698401574,0.6963418656217202,0.5175830198041469,0.5944430612005278,1.2023281259313783,0.6178049981113912,0.7641794575419714,0.7799226437471877,0.8940612908091613,0.9149428983657429,1.0359894480635359,1.8311206708486123,2.7071913847871882,3.1774913374946916,4.562015269842289],[0.8190007132720782,0.5061828476526397,0.5105478576907858,0.5201882194431061,0.4494294703449151,0.35153125947502284,0.2683755554207645,0.20202929417836993,0.19626438862390477,0.11900995836890887,0.18608676790907425,0.2840225776647517,0.19042875653123323,0.1911847741606679,0.27523899457511913,0.22424246248300866,0.3047192415145868,0.3078833641025992,0.3604306412527825,0.3849998997796436,0.3814877328010975,0.5358548756933836,0.5627040307178715,0.5522090894660866,0.45692989262748845,0.4035868056985738,0.3590211590621112,0.3000957477277517,0.3052550101536645,0.27698006193276736,0.30958354388853826,0.27025168089418866,0.3382726438248383,0.33377311344235805,0.2634999394087231,0.2845754262146864,0.2807456864256362,0.3268373586803643,0.3434378412911617,0.33969832852999976,0.4824520269602308,0.4536121273336911,0.4498104321106206,0.4550958770161219,0.7377621199357944,0.9788841402910491,0.8392395273304875,0.5405013013165526,0.9705643630866111,1.3351431605493889,0.7051440696251245,1.0348170287526242,0.8392972623447315,0.8010233374409699,1.3972587931817615,0.703081607385107,0.7689824713940381,0.7728489392280681,0.6589868913149841,1.209508437230493,0.7243442169712545,0.5346644965007135,0.4105971500550851,0.6267624540184428,0.4702037464116625,0.396473277930585,0.6373633446565805,0.4800741112135534,0.5694412891107825,0.523899958400576,0.8032302344649729,1.0216294411467812,0.7348058331289732,0.7393944939929467,0.47562116129678306,0.9469116042560937,0.3812580634133807,0.3404923146454,0.3178936340656181,0.37774298316539506,0.3904036081598373,0.5134577405402145,1.1131370026515262,0.4046456514789751,0.4703950516116893,0.3669701557500467,0.35565592720640293,0.4373088594364516,0.2939734795016843,0.3710104299271853,0.3445365912983855,0.5903772290565336,0.4140332802652968,0.31860205682609893,0.31027751085468264,0.3900517543425966,0.44385815774647613,0.3278533871495323,0.30982298913002854,0.5054439758956728,0.33976820296368504,0.480242808445835,0.3160211660119639,0.36258500225107115,0.36748538876686304,0.40930936162910553,0.5337283184654937,0.3537331401570833,0.3425972773075654,0.6940131011190318,0.2732703313369537,0.26392100295139803,0.26080466222929394,0.2944192056068157,0.23842810710816642,0.30503926406276666,0.3357234454406719,0.3022898220525893,0.387310875881995,0.40287680186026303,0.3466660585007195,0.30347975319355286,0.2795940883681232,0.272109771452093,0.24914922066300246,0.27786437434055067,0.44941611865897924,0.30642967106613345,0.28266304856348434,0.35327267474479174,0.31377406027876237,0.3429484923660143,0.3439631867915272,0.45737859641975687,0.3952962837255653,0.43936053588726875,0.6751512540915858,0.3633260591283657,0.3727960216156587,0.3190300663074822,0.49850666000368415,0.4629246096856031,0.37897004829641834,0.2881134498897858,0.2874382179510134,0.31499279470282066,0.2518601164782431,0.279360209559554,0.24276111544999707,0.29929391453919063,0.37522698971361196,0.5054551877418232,0.6391653999673179,1.4675389563623331,1.1554973446569516,0.4739009934608786,0.30975742432690495,0.34107636673803243,0.2721061900666207,0.30884298242841157,0.3041232593557244,0.3046286022546216,0.29169218738239544,0.32181642752435424,0.33699575163662915,0.4937968945043433,0.43877563660244256,0.5654715715757549,0.6328417112111812,0.6679701220515787,0.46871560111165417,0.3394937987900835,0.3175079982414492,0.30658848758445334,0.2615352422666554,0.3168687597441022,0.34063071787440036,0.5554334911194244,0.3176446972661557,0.3659718530489759,0.3581936867927089,0.2965170863001852,0.33201219242467467,0.358624587277077,0.37639189317833655,0.3978622926396365,0.42867428304737215,0.558365453731058,1.1927036292275823,1.8916407297539701,2.4655997875849587,1.1057982542321714,0.7949760716583766,1.0742296225438819,0.6743896854096126,0.4239097720042945,0.5811252639510343,0.3677299229141573,0.3860222820312594,0.5147589134504214,0.3753521204281263,0.49528268089415095,0.40482934876651294,0.3669791353765444,0.43330464078866066,0.5141086885463834,0.5985136972736662,0.44846941229090026,0.6145745832888458,0.5524276895133563,0.5358255414978347,0.5907446587301481,0.6991641712210014,0.7846668279266851,0.7199469551332988,0.7257800764651083,0.8268777115248427,0.6533910646296154,0.535718672243616,0.5556872619988661,0.620068987896722,1.8587337287745793,0.9281400807315985,1.166817032037505,0.6678964608173633,0.6788983096729939,0.7517097348103543,0.7308463719339093,0.5956196275567102,0.47098513324953506,0.6168732442018833,0.5727932367296229,0.6290372791483964,0.4420970870215971,0.8734043972686104,0.5945536064245494,0.685966881856551,0.8708655841950039,0.43777681998274487,0.48878488585254876,0.5726281063299885,0.7248153593265457,0.9192956997467817,1.005949813041091,1.1415367585495007,0.8504679817777603,0.836451632907216,1.0984014118037355,0.922403138287326,0.774368674002421,1.0023049875855994,1.1149340457923715,0.8501853912613397,0.8500996290724915,1.0255534858659126,1.0354338267809742,0.7888439708509698,0.8112900216443312,0.6847590695824632,0.669243737591495,0.6725777501780306,0.6078936686239874,0.5903835859077791,0.5219532949258986,0.4892128769304753,0.4692760234891824,0.516211224966066,0.45765954464710723,0.4758731152056556,0.663754994625677,0.6770779677339778,0.6026917745148769,0.7049201439288737,0.9438721542328092,0.9437078428283862,0.9955035755094059,1.2483443181325293,1.4620755437612025,0.9489110664739953,0.8611214568191737,0.6400258159177494,0.5977975364683153,1.016413946951889,0.9621438993073432,1.1420609418065004,1.3305592366362287,0.8301783325221627,0.612589207870237,0.38976290071473363,0.4127282513892814,0.5384373163204614,0.41691660607821024,0.5390288005678479,1.3050623839699456,0.5043964086646923,0.6531221120450235,0.7549773434455942,0.7991926988030585,0.8302670650818805,1.0512962743008682,1.924020203824102,2.753468693013353,3.319621185487805,4.678441099794012],[0.8519254755409339,0.503917846817976,0.4876372269982362,0.5016450263546066,0.45712545605805904,0.36354720934279483,0.28113463614258144,0.24443723737658982,0.21644314586809074,0.1802426672395765,0.15064902176160738,0.27863185172807814,0.18234046873807475,0.21173944390551488,0.32067402178598464,0.25799893726962564,0.37567532822653665,0.4074499780388518,0.4769060761056677,0.4948602022838675,0.5050677004408565,0.6053619334883344,0.6308486432875792,0.6586267188555518,0.5420011536018917,0.5247488203593328,0.4651138326912137,0.3971157170009487,0.3788603023432432,0.3182124600915509,0.3482967668506189,0.30531292430474605,0.38456553650101005,0.37483271588186867,0.30682945856974086,0.33349917735373297,0.3121949465822947,0.3902735491741843,0.42220709201340595,0.4007039400388689,0.5475761487884114,0.5285434963805269,0.5277145411582487,0.5242340754220192,0.7623697469061052,0.9590061170818647,0.8560792763197171,0.6203807282948631,1.0151550088116355,1.2960321246966169,0.7226152516213102,1.0375498804857213,0.9108716181953931,0.8657039620727982,1.4116240640176052,0.735881715023774,0.8179872333536169,0.8088228746279824,0.6934276527438789,1.2464477892249768,0.7882496529741859,0.5815870531141142,0.47464694175427224,0.7459620788006021,0.5589934576180771,0.48056475836606666,0.7254083973275774,0.5741163759280894,0.6484526650910475,0.5857523989966262,0.8712276722882784,1.0669232198367609,0.803726955488211,0.8219191061394205,0.5331025253897343,1.0263463113529154,0.4623554422977592,0.40719646375167895,0.3706602983648873,0.40971428509211205,0.4386030496719083,0.5467085501819579,1.1508725470642724,0.48272988096833075,0.5149082980857312,0.4052845349955812,0.4095409158240192,0.4551499676612496,0.3488484879317847,0.40955530898687337,0.4203750800564383,0.6312028291341771,0.4599189424434519,0.3572816168681211,0.34462700705235383,0.42080187254841084,0.4633253989922886,0.3420578028426063,0.33155593956966806,0.5845468974206193,0.3376068568059895,0.46971535850897544,0.3387316228418303,0.373639481228893,0.3699771398719803,0.4114873540884543,0.5326449080846224,0.3617957390781198,0.35434321352503706,0.694365405225755,0.28263450515470434,0.2776813832060551,0.2878452846465156,0.3241220526550456,0.3030976395528277,0.3748134743776672,0.40435833874557914,0.4068954882451956,0.4722706318399447,0.48570433351046405,0.4503735338003277,0.4118898241317464,0.40359901890891564,0.30503791173609657,0.24988029896805874,0.2937009981262923,0.4793729876674473,0.3305880157757253,0.317459101384759,0.3520673389218321,0.32317584713814723,0.3465501840321252,0.3647271444975447,0.48355169117643876,0.4179808073532801,0.4457503892497274,0.6537997063635427,0.393099063673733,0.40512453280610566,0.3826046726298118,0.560421696504218,0.5575367486972412,0.47624101742690794,0.3547639071159091,0.3712551386262781,0.3897746429686899,0.32071669748500764,0.32195029836457056,0.29068157461752253,0.3025245662174163,0.3920541817511923,0.5439572790795454,0.6666286050406683,1.5603587143897353,1.2700472651004937,0.521722365413142,0.3216560344681958,0.3597945367719891,0.305672466306812,0.3383965987222052,0.33478033068619467,0.3700036138628014,0.35011461977551606,0.38908948267929183,0.39005387949173537,0.49584403131647126,0.4612916554034694,0.5520012873477775,0.6075361795676923,0.6578031619829797,0.47647821247138467,0.36708459347423533,0.35325134368756966,0.3523894325966588,0.3117715842272731,0.3363721643898887,0.3575347525919304,0.599538689203163,0.3624032380989396,0.4251730820265157,0.3810463148864851,0.32288840507463534,0.35486875753708574,0.38098182963500293,0.4065589257548526,0.4406240721117287,0.45422465990128663,0.6207926918905947,1.0897280970222711,1.8410272271072172,2.4464570824790983,1.234349767525882,0.7970584069819873,1.0518246784222527,0.6813281615192031,0.4337776638869208,0.5945654855698294,0.36417180813739797,0.3918746370998591,0.5014893397221074,0.37182263299381535,0.48176331987433885,0.38933465618666857,0.3695499292470913,0.42316439305802284,0.48533291430660935,0.6168357743038526,0.4498378165248353,0.5868577233332313,0.5265786894305029,0.5334420736087813,0.5723210813091778,0.6628072998724197,0.7738260015278527,0.7128866236778024,0.7171297520857048,0.8273848081864518,0.6608663815564396,0.5478261635310405,0.556381876156515,0.6233957128656852,1.8989546860329134,0.9216340001843908,1.1898238975904165,0.676708030945394,0.7120749150671919,0.7755110281089845,0.771971984225457,0.6032325667357129,0.47140093355169804,0.6216090136151383,0.5688319342810559,0.6060933147147135,0.4315462277557694,0.9012521014313779,0.5707090844096999,0.6666093216946595,0.8588741795196997,0.43568534559502764,0.4922196958427172,0.5948977077530506,0.7376710893009673,0.9369208618083156,1.0497250589219547,1.1638937234924354,0.8534678279269794,0.8391035750463004,1.1191812561139411,0.9127206874814927,0.7527870862252738,0.9841430417491542,1.080662282736867,0.8041619306886568,0.824064058470494,0.9986156374073986,0.9781892526892767,0.7636126134019332,0.7978583723625731,0.6679406279547149,0.6584832868360412,0.6582127335518222,0.6067269164212287,0.5801246949832347,0.5109518783066961,0.48482051985954105,0.46373332725234195,0.5118097431475094,0.4537934524612004,0.4711428731497617,0.6516985836884137,0.6783467987725103,0.5928974896539166,0.6986806856740742,0.9343112376765534,0.9395103189898639,0.9998832296752118,1.2507811916079339,1.4736189796867145,0.9622861469821476,0.8849165800802079,0.655102383149131,0.6264580941512252,1.0509170621762423,0.9851644508582764,1.1484471764512811,1.3193860411315719,0.8298794073596139,0.630380926253539,0.39716846419691954,0.41505421880203947,0.5114843524779061,0.4045737425418139,0.5176869872832058,1.313093428837008,0.4787780605298748,0.6005079027218249,0.7813697521997048,0.7163840120424992,0.8061129203149485,1.1272445500441748,2.026288247604518,2.791595064481816,3.5226992847189407,4.976617814415502],[0.8857098254178914,0.5797652410494241,0.5772998412408621,0.6244916376967423,0.5499096553855048,0.4460136046077897,0.40272603822810094,0.3343988193908011,0.31491540387962785,0.30061159486648525,0.2850730472961404,0.3580879879544975,0.31065083896427986,0.31043287463068936,0.3925101585623862,0.351362313780054,0.47079955099144205,0.5241032630365564,0.6362542129015735,0.6383098575551471,0.6642711886828362,0.7452244243312233,0.7782837499494386,0.8350356536745513,0.7317399923837232,0.7181705056166124,0.6432678641418487,0.5442084869857602,0.501700732127719,0.4331639336637155,0.43540789501973837,0.38486615829018994,0.47072697134572106,0.4621623776855314,0.40531990460831835,0.44391680927618626,0.41913659566108463,0.5333424359708826,0.6007432040111462,0.5690212582042804,0.7335247367955451,0.7104895179361471,0.7116475321399048,0.6841524653382919,0.9064857844940196,1.092554329104067,1.0021046704633048,0.7842300952561919,1.1328530451259873,1.3457362343819799,0.8313104163804577,1.132462645416063,1.1351650070794221,0.9456186082003282,1.4137959665175461,0.8786628382975594,0.8908232346085557,0.9631488402529977,0.8011268509963251,1.420107733627533,0.938498363351896,0.6770688848680309,0.5697231558353847,0.90298794019094,0.7454280812217562,0.6272668974959749,0.8294760611538458,0.6730660928065103,0.7812058900537409,0.696640814861661,0.901941989358784,1.1021472963238281,0.8748473326140012,0.9554016294897999,0.6327619350164297,1.1087788743669764,0.5837154598293641,0.531875664642462,0.47883264843866674,0.5114252929497254,0.5319503406459879,0.6430741650157195,1.171419790390524,0.5721383584276466,0.6848442570621818,0.5307065130584603,0.5362399790304114,0.5561504905345025,0.4791003424177067,0.5071721666465202,0.5444221971117514,0.7568963192624198,0.5857818214667704,0.4547096171699296,0.42512246616937494,0.5180930060625033,0.529321662920189,0.43540421298145576,0.4429676858970602,0.6763758949486735,0.4238383225797112,0.48824396108502344,0.42914519173961657,0.44897905753321377,0.463174600784049,0.4723935571915466,0.54952662856035,0.47090399404104966,0.45585744259632144,0.7508508070002471,0.3854209657582418,0.4138610183697488,0.4142649780220926,0.44629139627906017,0.430448517772848,0.5194246750204657,0.5301589291275752,0.5731398487423883,0.651627547427828,0.6016171569626787,0.5964615077446096,0.5625977529611641,0.5850646042104807,0.4603710339519724,0.3927268091779035,0.45547484190915816,0.5520512293318478,0.4688730883577775,0.4753945454164879,0.48749785991576394,0.480177476590952,0.47708143955686166,0.5065802763302976,0.5855176606869447,0.5427101522685703,0.5780031845111784,0.7515206469246324,0.5521738123668561,0.5468360014207557,0.5532552025307668,0.7433371578922178,0.7856380200937654,0.6554738561820644,0.5396972171056729,0.5448632991504243,0.5385290852888082,0.47729942919565216,0.43846847119606697,0.4050954438265929,0.4118099027515592,0.4777961485274092,0.5998258613729288,0.7079345901414932,1.6326179686568538,1.3320048628965886,0.5820619275709924,0.404017753877001,0.43146102097951783,0.3946355925986545,0.42550224879956833,0.4652675768195594,0.48755477908928224,0.5136620258545029,0.5664408446092959,0.545477289576156,0.6517299884326201,0.6252635904300282,0.7425249719382131,0.7559552856535857,0.7916167691407873,0.6298605053750682,0.5309943146477112,0.504176302637661,0.48339156253099463,0.46022267626247537,0.4441183404945018,0.45615782011203787,0.6546593959686162,0.49053445212000274,0.5394097273565837,0.5047301017736293,0.45179114132453946,0.48756521042223744,0.5358791190326131,0.5390410672112909,0.5832852899102462,0.5874860316782288,0.7920637759678274,1.0988795370927693,2.0200764198401724,2.5547993923833485,1.2698977366894628,0.9557827860107575,1.2089528808940464,0.8152648876748007,0.5706353244584224,0.6633132413650907,0.5284045168730879,0.5374670085509221,0.6092841733271003,0.48930962484406715,0.5580241555036456,0.4964355170414658,0.47610245486999714,0.5078781522969222,0.570616798438967,0.6491688427681774,0.5169164645459203,0.6510743264379996,0.5970738168236241,0.5851742867031201,0.6324845656898912,0.7270022802323114,0.8034188155887823,0.7729575483903177,0.7918120957431852,0.8874870054053365,0.7340395657489771,0.609265512263771,0.5947643186662767,0.6505256391704554,1.8296241090890206,0.9825730756639912,1.2245625970681893,0.732556551022904,0.719035099861141,0.7693228814469304,0.7591532421876122,0.6508107670466736,0.5556523947534261,0.6466748144591319,0.6783766021317299,0.7380662022892429,0.5526902848419474,0.8904204810106875,0.7447064645715598,0.8026455299811699,0.970637273236209,0.5593544635201502,0.5855437378147186,0.6358767232319816,0.7377309645790774,0.9166632463254674,1.0319714173717556,1.1501597379603195,0.8465734203348446,0.8356842477111878,1.099962685635787,0.9138893155196495,0.7951667330205833,1.015271758204958,1.121908836715735,0.8626215016462324,0.8730401179425991,1.0519874577614752,1.046093006488878,0.8253863874289302,0.855615127488439,0.7271974247959685,0.7018956097774787,0.69784155846261,0.6445274928274027,0.6225583398500238,0.5643962632295259,0.5482897376538507,0.5262235723767709,0.5751604271802788,0.5423174921513655,0.5606513000104554,0.7413427721335902,0.7506494167979183,0.6961816402825545,0.7988613829620115,1.0246790013604947,1.0132545537047493,1.028573047472002,1.3148740327935895,1.4819115882290443,1.0137549519904332,0.907494909976063,0.7074555812665995,0.6421122548163243,1.034711157676484,0.9752828720214566,1.1682936409884372,1.371261744583897,0.8896185471893343,0.6674092784887858,0.5216592398482608,0.5498954865830714,0.6203619307157842,0.48201417300641064,0.5544746862077934,1.318736570734703,0.5406389403737427,0.661322227943672,0.7610992713191909,0.764454220359554,0.8454286823311169,1.0997998876686872,1.9778327421350097,2.7312971628803853,3.3814137088338416,4.777063974976602],[0.9391481960341183,0.5662180744549341,0.4659568416945919,0.4981387481116205,0.46110220251035466,0.37204560963173083,0.27605477431455155,0.27263372658504614,0.24004806352854632,0.1818442819415558,0.19397968965639997,0.30906325971638293,0.1942829641845532,0.20402912906327142,0.3486469488751275,0.2726871114762163,0.3671300168037642,0.4207733903297035,0.5106725552455951,0.5074801310503845,0.5411068017983724,0.6380568552711083,0.6767118169267361,0.6985957225025112,0.5718083005774957,0.5517903699497546,0.47769643582442084,0.3938309132593819,0.37427695019750334,0.3141539321591734,0.3688866685442834,0.3213162006189194,0.42582994438116284,0.4061404821484443,0.32488532525342345,0.3473679813852537,0.3126704477181804,0.3913388160946938,0.42399549048006785,0.40973144778928267,0.560922793744641,0.5458703731917323,0.5479779575900648,0.5318513976921496,0.7968973366862642,1.0116127201258343,0.9009962805094792,0.6253791986018945,1.0089281166098165,1.3122439866028548,0.7128962668189815,1.0504912418502916,0.9166087225139393,0.8537488385242652,1.4096815581035707,0.7327167429249729,0.802746215300097,0.8188780561988347,0.6997036077750776,1.2783144903525896,0.8109325156728814,0.5881181202172581,0.49601994048475956,0.805560645604909,0.6131293423161606,0.5083136145143574,0.7669451508441503,0.6038386018726082,0.7180017065265677,0.6379684574505777,0.8980176561430666,1.1207147666556874,0.8609851064202096,0.9101010021711481,0.5697519268343624,1.0604052545933262,0.49247862512254825,0.4312631130361485,0.38326185611759783,0.42288059632338054,0.43796227307826735,0.543575745178273,1.1518903852977325,0.4658849222829402,0.5103464970660845,0.4091907959042623,0.409878232669582,0.4563869365139767,0.3692191139267359,0.4237521129449119,0.44551511288567486,0.6614793036013782,0.48234772782548024,0.4045447921763874,0.3852455296743038,0.4646378948198923,0.4480037661141515,0.3822986369845384,0.38197712757987196,0.6706994591396692,0.3826591160113344,0.5324891552437035,0.34877655759252507,0.4060039276384228,0.39797863477355405,0.4411237912568051,0.5785961225805231,0.36472177373534387,0.3700314849058241,0.7244445052356849,0.29757366561727333,0.2711256492526099,0.2581955241423302,0.324476750358998,0.28713376488790765,0.3699536992116034,0.3943173014219313,0.4204933011700551,0.5231439599817976,0.49434205357026034,0.4728270225894342,0.4206753062559759,0.4253500156442245,0.318977732246151,0.2944715203336252,0.31888442534933525,0.42992732467492495,0.32316597615194415,0.29908311304722157,0.3624124121081187,0.35385279237722633,0.3803501347367664,0.36642311579396997,0.477042277003998,0.4078193973400807,0.4587415368042869,0.683486592537074,0.4023168857701678,0.38951491192499405,0.3820275448049248,0.6068340964752048,0.601266531246107,0.48821068524027444,0.3663503281892959,0.3695889852119296,0.38488757696698817,0.3113695109138827,0.3207961128534174,0.271528335070437,0.30427887388108826,0.40066047932094984,0.5694560632316945,0.8119916105735955,1.7835936411156834,1.3350395292329678,0.6017503367009982,0.3501870389776828,0.3894299738516565,0.3093382449354472,0.3535871506939696,0.326961518860423,0.35258597510459694,0.3406926691255308,0.382268947202144,0.38696805648840066,0.5367484013145203,0.48607241659993905,0.6398527788135014,0.6958756012234021,0.7207954095500091,0.5091802787669978,0.38466848169872503,0.34762900440984285,0.3336248915281819,0.29250855310743684,0.3384102960478527,0.3600734225197228,0.5994446725404688,0.35322922314034433,0.40235272282491635,0.3679752376222933,0.3207827244234412,0.35531939368589754,0.384251983938943,0.41131143791880764,0.4343606728518242,0.4388229891487692,0.5902547642644972,1.1554269290261032,1.9332226910081696,2.4893216401869718,1.1013790580560758,0.8095477495964685,1.1019612692470677,0.7026338639288014,0.46009945992231627,0.5864953808652602,0.405218856842428,0.4238041185693139,0.5397040957771752,0.4015993436467932,0.5264466045148267,0.42602287714685705,0.3940259951126724,0.4613960142486122,0.5264236243253633,0.5928619658020724,0.46410312177881274,0.6492483929646764,0.5554097089331868,0.5531665263035297,0.6158177251391197,0.723025459033343,0.7745666370080863,0.744031173354291,0.7235465759741414,0.8510623205078152,0.7081721227590704,0.5741852690688796,0.5715246093548254,0.6458783495083319,1.8817659539823912,0.9107404495899459,1.237668019704972,0.699777362200404,0.7084185833498764,0.786013962805298,0.7604552847411196,0.6305000638246424,0.4935926123208471,0.656546658770725,0.5741772422669421,0.6739804302382374,0.47724423976536395,0.8944768262023717,0.6239111349359199,0.7387367403353187,0.8875166732248558,0.47216674982171464,0.5075918825760123,0.5854548792911604,0.7504612866036615,0.9767791996520672,1.0922412634673333,1.2135672673774278,0.9185821412440107,0.9053019992703808,1.1876901477510813,1.003880406659466,0.8407143105220544,1.1060290007861127,1.22729694031021,0.9278455369858919,0.9367408610814638,1.150704701308513,1.1098557459003269,0.8520441802336504,0.902507994818633,0.7449498167579663,0.7364512831215148,0.7293985163478884,0.6496419285481426,0.6436440864519442,0.5430115503561375,0.52208122206462,0.4893950948579489,0.5320723536667251,0.4861391666729032,0.508427276874285,0.70649595879659,0.7334781565092239,0.6680002508065152,0.7620961755474419,1.0300228068518924,1.0296849451386885,1.085241326798007,1.3241412332565878,1.5196667347871136,1.0688724822126658,0.9847711079518898,0.7006503087843667,0.6432824296245904,1.1311764735134435,1.1270361104119586,1.331731123334718,1.5110438104977433,0.9122690379523666,0.6670810114010558,0.43322506576550385,0.4279227562256566,0.5067195928168686,0.4358645392526129,0.5778236280991087,1.42889501065922,0.4876214195376751,0.6395825356116697,0.7536367529043324,0.7895483100256306,0.8100438148263349,1.1015889869928635,1.9667488835237505,2.65335745979513,3.2452939793637134,4.4568022885717395],[0.8681597034871212,0.5087727730365125,0.46213381096030787,0.44405055887960143,0.42001791733809274,0.36383703256817485,0.25395947991234175,0.2538788232321727,0.19014388562523618,0.18789685710992618,0.20286502201524623,0.31036330341551227,0.20588074808033702,0.20502301464259093,0.39799209656524603,0.28334893716327353,0.34630944160056515,0.372888194492257,0.4263909628207787,0.4402839344224094,0.4489131584465091,0.5764309269852796,0.5693230831493985,0.5915801341236843,0.48073893994067846,0.4593590219560726,0.3976439354955882,0.33227067182448955,0.3372554687417714,0.30020849401745303,0.3596310800407047,0.3226715203436818,0.4109878689292476,0.387480199425199,0.32238026594733865,0.32546743868105094,0.31840529815339363,0.3393714794641846,0.35719632619398073,0.3509698791509544,0.46396829874244216,0.4758376480053101,0.4904190184945352,0.47535251519053945,0.6876492189959912,0.8986884611876843,0.7444487755305408,0.557795261161634,0.9630763715513408,1.3059513519462846,0.7241975479753596,1.0172798511037624,0.8307617324401924,0.8719404515767132,1.4602256589218803,0.7105084274183546,0.8255799075615109,0.7423344763099479,0.6914877419445908,1.1419027608778898,0.7391329328024516,0.5809713430541427,0.4909765284700752,0.7182931444086239,0.5055100963749622,0.4414358268442737,0.69536178447062,0.5501703923926795,0.6096547148271761,0.5870605482459821,0.8621467222371961,1.0833046797908743,0.8360420472844984,0.8046645013117375,0.5277523071887159,0.9774373122362418,0.43120020380492613,0.3922624302455528,0.36758282390397107,0.4198509167841906,0.42865329159900956,0.5220364648669541,1.1573410150497843,0.48381501480211436,0.4464208198404062,0.38983325070291414,0.3907949096864851,0.4752687491782632,0.332147173712123,0.40893633169692895,0.3956617465540829,0.6070121460689867,0.438659719757408,0.36926566104224773,0.3641611355783386,0.4224439687690312,0.4261542470295667,0.36737438072974704,0.3768151763822136,0.6555015894951545,0.4020903826312981,0.547706879638971,0.3692252879543977,0.4387479896372926,0.4252390734956554,0.45234761730564144,0.6151408152427345,0.3389491052608801,0.3407476405449224,0.7018390072024172,0.26702568764717916,0.24156892448199932,0.2323307115255172,0.30983738150494244,0.2594160665304132,0.3211381582687351,0.35449202824836845,0.32553202442532164,0.41075904207558966,0.44154906062446503,0.38891149760204063,0.34452280025100246,0.33168583299259496,0.2803584288019749,0.28211326310858736,0.27295616078898516,0.4707859210025053,0.3048943096358154,0.26205743768952144,0.33474729492338046,0.28476613485775687,0.33977831189544216,0.31285178291635307,0.48710557105138225,0.37328797996787105,0.4000308852384756,0.6497102010779185,0.36193756719376885,0.38872943212207295,0.31519595165729924,0.49020499833020537,0.45864001372816293,0.40352865159686396,0.29467518085912847,0.3055810385136784,0.3359074940181562,0.26331859310678807,0.29783351577092426,0.26854782833321056,0.2819042690365927,0.39239409427062133,0.5619629930242336,0.8049772182812466,1.7256749124698079,1.3262173759253564,0.6070187714267959,0.3627063139934116,0.4040578220114593,0.34189262324267056,0.37702151201655915,0.3253441907560481,0.3453233130974352,0.29648197694699646,0.3177105657500477,0.33717570342004616,0.4731022836369271,0.3989990528509917,0.5070424657530624,0.5791937313955956,0.6314375213690769,0.43027152080459163,0.311954642548995,0.3023090957832519,0.318014727238482,0.28590721619530346,0.34558295417348955,0.3589590620002417,0.624127814179831,0.3456154515291645,0.41879558542168405,0.36420565921033676,0.34075006122395907,0.354941928072395,0.3484233749353151,0.3718054753155528,0.4137304551734812,0.4370457732054367,0.5633129880445573,1.2111473598698146,1.7886205904347126,2.4154871865704437,1.2012186017602298,0.7431984088331804,0.9724239569523271,0.6255356790535043,0.4013415740301824,0.6167155188966826,0.3195827547461481,0.34681950095412484,0.4534696086379307,0.36088938492072714,0.4969779020659945,0.369480383075976,0.34364412024920155,0.42829047981239554,0.4652716838020329,0.6048304141501539,0.43357964206731414,0.583328361282577,0.5004096337666281,0.5314018789081687,0.556865142050514,0.6385332356452501,0.7578127746828109,0.6990023921803354,0.6888353579398813,0.821800464732354,0.6702681062876022,0.5574924506382812,0.5376920312942399,0.6360085840724712,1.971584609482551,0.8991253996110521,1.247823225315011,0.6965113446013276,0.7404430027895949,0.8167951451108804,0.8217574226599063,0.6229991274914205,0.46982654590812195,0.6751660983129808,0.5572440540703992,0.596293745444292,0.4279908720764288,0.9161955339977125,0.5069805518647783,0.649234299003085,0.8010621812059957,0.40022740457251654,0.48434011115416226,0.6147482050847716,0.7758331417273747,0.9982205060322848,1.1309924327173513,1.2325345876241809,0.9222815142388878,0.9019672849121075,1.2010473339889465,0.9804695525920857,0.7960820882414584,1.0384530073227618,1.1290754276438602,0.8209908434804732,0.856275243721226,1.0384144013266925,0.9735296410569914,0.7697590779603479,0.8199046253298061,0.6899273765822922,0.693757596418361,0.6951295130774638,0.6429214008160881,0.6027249723550968,0.508954548167912,0.5030949524997042,0.46169171676301274,0.5010236249817878,0.4354265866609132,0.4510181187653396,0.6252744168365726,0.6756426644455868,0.5645545966202266,0.6706998928089902,0.9245901609447944,0.9332416202604272,1.0208861228173898,1.2382480937579763,1.4844825963651922,1.0020789609218006,0.9591613715383009,0.6875674234546397,0.7025275529338313,1.1792259476848925,1.1154966841084755,1.2526553239832332,1.3891609762409747,0.8312962758197486,0.6552954787800844,0.3624668196188032,0.36455505186861253,0.4291621290722791,0.38276371285811084,0.5236772044814603,1.3822265078595546,0.43220770403771336,0.5553184308833166,0.7665448144175495,0.674929793797544,0.761419498783429,1.1972755214352149,2.0759248363507417,2.7892784135706368,3.5784457125618028,5.0034976194066445],[0.9368967791102886,0.5593159644165633,0.5289319560306949,0.45868965832208064,0.44759358376955727,0.4068883969873406,0.2936359320512781,0.31344065638425966,0.2503696658583792,0.27196172044814676,0.3259045536437288,0.4112728951833525,0.33827402190006045,0.38161614350512657,0.5788237141213532,0.4857326024993527,0.5281900012092914,0.6209276007121585,0.7121664623168097,0.6780426710059765,0.7217385311561313,0.7979530704048817,0.8093185606840896,0.8162852962474832,0.724235015080537,0.7319722915020028,0.6346560315106875,0.5387270533842679,0.5417922325976419,0.4602182222928782,0.5622631913486525,0.4852163082272168,0.569623563065306,0.5443135488308786,0.49561347816765694,0.5183658144808687,0.47974526164997455,0.5331329817533998,0.546443532430228,0.5165164792147073,0.6468649208811416,0.6982681624220582,0.7321224582580526,0.6712443261910319,0.8170246441514296,0.9799326442697472,0.8514280509900897,0.7608270197024417,1.0908775513330358,1.3565473016073295,0.8136006550627799,1.0782698311457004,0.9997842657269486,0.9829817345051113,1.5385397483351653,0.8350249760956169,0.9581474108382276,0.8271515522594592,0.7796625811630956,1.2322793423819947,0.8890444941664637,0.7477362077346239,0.7067837186876762,0.97923160722141,0.7561466994240242,0.6682788661689826,0.9208694875452392,0.7765992820150793,0.8581778242477603,0.8212445270358908,1.028972889115187,1.3042712855863512,1.04453498813268,1.0730343161462097,0.7391092189153907,1.145489287351037,0.6587739185709521,0.6030614115728843,0.5722575565053581,0.5972099178063179,0.5827759758934836,0.6410979328544737,1.1922522879135178,0.5909763381735057,0.5896435193641778,0.5382637449869502,0.5834879087788761,0.5808104041721249,0.5299227263375424,0.566942014525861,0.5977861718366384,0.7736633025109952,0.6202527646042354,0.5562420765209791,0.5461811739974368,0.5811451262193778,0.5615985184099539,0.5239161816631853,0.5149886520145595,0.8411647272263871,0.5316448934534619,0.6198001562557919,0.4790257516592592,0.49684249205928105,0.4739747817492456,0.48045444298249645,0.6434033946297537,0.3844225992940329,0.37278604330631093,0.7161880606480316,0.3121131320464615,0.2995027249477879,0.28550440861409265,0.334401271698285,0.36562936746821306,0.45414637393468704,0.5066769020853326,0.5289485496999723,0.6665080618817311,0.6630297046696518,0.6245836160406032,0.5533482646024426,0.5005306414388917,0.3674709988287718,0.29862372400048837,0.3091043849213471,0.4890893171516737,0.3399616475239592,0.30175081799058784,0.38234209665060037,0.3102381877372974,0.3630925685623601,0.3710428093146798,0.5347729873890357,0.43489023321203624,0.4667602338393282,0.6911681072809143,0.4103238893872447,0.4225504963487849,0.4221368676670844,0.632319831987237,0.6730342426469829,0.5989872337132713,0.4647291512852572,0.4839243259932731,0.49228915708192816,0.3980253475707492,0.4059604242439381,0.3537165112755351,0.3390812202080554,0.43867426847504665,0.6151408918094134,0.9327852759103196,1.9495902174855524,1.4675895262160994,0.7264409890196659,0.4594152389374967,0.4785677868561527,0.4508400727408635,0.43181660830568575,0.3924946675826932,0.4728084026288988,0.42662692727624546,0.4739775763569664,0.45725939990381287,0.5725175877259052,0.5103159760450037,0.6083569736298156,0.6517758423347295,0.7164135672501976,0.5096098095457283,0.41051165877596835,0.39825107299281437,0.4158233345100813,0.41276404133117117,0.44028600995207634,0.4575840281590341,0.7126333058196463,0.4722389806512571,0.5176748214298441,0.45574189426595746,0.4047086001954775,0.4089004434159991,0.42075062919655815,0.4608919012010395,0.524734708111142,0.5587893280414371,0.7027587597111288,1.152155584117177,1.8635519100727111,2.4818164165555285,1.2753814152947103,0.8178011675365017,1.0336064686253486,0.6733275761243226,0.4352467439720388,0.6374984128540145,0.33797373308987655,0.36952310460962406,0.4693205993575325,0.400434985187749,0.5327998612865179,0.4062828286717525,0.39220773876716336,0.48591946974575384,0.5145950708919673,0.6126962377010486,0.4934880272959137,0.6487404775200478,0.5664329444622279,0.609105538157184,0.6435705264056903,0.7120619830050646,0.8201126819042837,0.7879217898311414,0.7523202519454504,0.8891988007873787,0.7519898116143391,0.6372577754084481,0.6166553341162647,0.6923447077782092,2.0280839834022673,0.9231607779141072,1.2971577478417435,0.7557330733727976,0.7984551202916818,0.8716999570441099,0.8729213801069752,0.6712193607850921,0.5183527954011284,0.7061999130713318,0.5819514632884248,0.6225106259916451,0.4552062681549891,0.9225840635071416,0.527924702273832,0.6792873967988066,0.8125332165425441,0.4320717746122973,0.5062378555305934,0.6458345615536225,0.8101431651273575,1.0390711198498972,1.1951183355258554,1.2816623039651844,0.9602138660921479,0.9683259551907129,1.2874763979537642,1.0359795613843572,0.8471282684723619,1.1021938177969866,1.18258599852606,0.8737682109124939,0.92757433445586,1.1159178382696657,1.0181826874955582,0.8494326498251084,0.9111881919944084,0.7853164299760073,0.7807495452973543,0.7597744478409321,0.7049704109559048,0.6802982807736334,0.577798994780302,0.5710442002897798,0.5345368728669874,0.5743853199250244,0.5013372677229997,0.5150733973815937,0.6869183600344588,0.7295109058622044,0.6112945193847031,0.7196006449283683,0.9919122173087545,0.995018490906766,1.0813286478800268,1.3028504124449722,1.534682990658955,1.0927640810295105,1.0500633164865782,0.755997240738366,0.770625870908131,1.2537972712716292,1.1969431700679216,1.3437348736466381,1.4703076646677744,0.8782375761777202,0.678512887173118,0.38945388289829874,0.3913157535348155,0.4428138108440752,0.41957642111882015,0.5680858849517717,1.4254330568551534,0.46683114155211525,0.5938740814781588,0.8242441201056474,0.7086031993708468,0.7783209485303946,1.2992980708425352,2.152464581061474,2.7238621081183645,3.559838147787444,4.9157853775137115],[0.9895799467055046,0.5771221104245003,0.541013844411062,0.48588232677816867,0.4977075138774318,0.4368567881214719,0.3187920130548493,0.31488202761618456,0.24230982060945624,0.23734862357203165,0.27445746720645786,0.3955887669769874,0.2872078429728744,0.32412532069935457,0.5103442540872014,0.42836915909174933,0.4822489374520361,0.5914518979961132,0.7088689278266577,0.6700160198385214,0.7260324580657415,0.7957638384502822,0.8379389231142483,0.8468448415784501,0.7425240927593512,0.7419856219108394,0.623552601952131,0.5201726012870709,0.5092958486690684,0.41964619979053214,0.5311472082398366,0.4492261929453475,0.566874440244115,0.5401662120568135,0.47225483242790933,0.48905973355633836,0.4427412974046262,0.5085601583594579,0.5280578467984641,0.49251032405827566,0.6490933570665532,0.7024608882437754,0.7229603289491459,0.657993514521368,0.8523902936671371,1.0333074566552916,0.9115171879460349,0.7442663099036202,1.0905044665283374,1.3622190468225537,0.79000206036307,1.0431272269927152,0.983550866512989,0.925855685543117,1.495123326704626,0.8239477484470006,0.9291079119212553,0.8407853628871947,0.7755997160244958,1.2788875401738204,0.8914969073213118,0.7192072933762658,0.6791754241654883,0.9974403058020029,0.7680810895650455,0.6585021806396747,0.9141274691455067,0.7670186508764556,0.8714371588433502,0.8017997823504243,1.0327278126385906,1.2777742905849345,1.0211887435162517,1.0920009927661336,0.727880097021111,1.1622297768056635,0.65196950488616,0.5992720469801203,0.5563114777022025,0.5730452303298088,0.5551936579170218,0.6167229174214511,1.1823292580556597,0.5404843194838043,0.5731133747086478,0.5018372558459948,0.5507387946677543,0.5596988945155463,0.509000318614616,0.549999938197,0.593862567324684,0.782834452774107,0.628302458989858,0.5662763819063275,0.5363188403777516,0.5999292721669661,0.5544391192235125,0.5211274010706555,0.5029081825301063,0.8379607389296968,0.5133545654375565,0.6158845326144284,0.44003460136436345,0.47567274324156106,0.44283770340219186,0.47678387345537954,0.6418009009775703,0.36487989214201694,0.3734334021746663,0.7101416351828405,0.31397893162166424,0.2888832079362558,0.28437901683443173,0.3433589369301255,0.3355470370575261,0.4306963070629575,0.4818392781879964,0.5164557825943317,0.6644512209545711,0.6237409960062175,0.6083709797858092,0.5349827965172974,0.4914331925698749,0.3708504405259884,0.3277371211947414,0.34377183602898953,0.4401990634382639,0.33306159596448504,0.3097421128084393,0.3689417939622402,0.35766466330122065,0.3925082651629299,0.3661198087076966,0.505795714774038,0.4168391727467515,0.4572403867114832,0.6933600328317304,0.41291671074656505,0.4140065178261011,0.41948031407435893,0.6579455240438125,0.6877199829234214,0.5809435256787382,0.4508299700070505,0.4629107107664879,0.4671427835336985,0.37048580933970743,0.36399309376720773,0.3095576194607046,0.3262169970598445,0.42824073745253255,0.5975711806449844,0.9452249869819702,1.9840877709903357,1.4416430059634455,0.715821893904207,0.43519561573680654,0.4659988979395575,0.4044818460524677,0.3954354866357987,0.35011030251958875,0.42025130212067563,0.4029268330099349,0.4427345780602867,0.42973630319322126,0.5695220090698209,0.5125587287356707,0.6585619180986523,0.6997692936760711,0.742074290349527,0.5216064133784167,0.4049709609824129,0.3713866392376127,0.3619717321771479,0.3571061209616411,0.3880531319994252,0.4089828476982709,0.6654071522406343,0.4201836720921415,0.4523638860313707,0.4077800436854364,0.3569191841945155,0.37562032561317277,0.39002304435722623,0.42886108426752206,0.47034753210104524,0.503444178430713,0.6563817960482402,1.1493469859072851,1.901378548523397,2.487431709811732,1.1704828657485578,0.8303861811708495,1.060848678372529,0.6735796498439652,0.45553713509780036,0.605944863286407,0.40501702166212267,0.44090000737735247,0.5521572934565961,0.44102381192897666,0.5558702730049322,0.44663388672755044,0.43237873882544514,0.49944660059544593,0.5367224734167486,0.6149468041495584,0.5015170136639994,0.6594580413516292,0.5634826948381236,0.615265391347925,0.6439725090842151,0.7095322611624747,0.7995759489501408,0.7878084124263829,0.7580145069990131,0.8979499766132196,0.7822508866068928,0.6507980129980151,0.6245348195882443,0.6671079474286425,1.9855393054318602,0.9195594339410564,1.3112270843995213,0.7609266828656066,0.783867192654336,0.8667289907054697,0.8532084426966154,0.6806204002814484,0.5412639749142182,0.7025995382331045,0.5792288305175946,0.6739699792003636,0.4964912488564728,0.9223997215682571,0.6114173605814583,0.7452324407702513,0.8744567412204716,0.4978004291854439,0.538640476292971,0.6353886236785489,0.796547390873515,1.0440534299745186,1.200685439388087,1.2862901647836285,0.981496399244493,0.9909050811851682,1.2980559409563854,1.0721014673037668,0.8801765888794328,1.1575620137383467,1.2549459895787438,0.9273558169843378,0.9698744023407778,1.1757246766798022,1.0773103459384934,0.8560996172423647,0.9330683724688327,0.7895705040654659,0.7902498220491434,0.7740126823642177,0.705024629383489,0.6928331739933291,0.581253000800768,0.569164648825946,0.5363759406766478,0.5842009554215042,0.5360737564958196,0.5515895000664279,0.7417332067819467,0.7833177850181495,0.6903350688293707,0.7833328337586156,1.0923632345421987,1.0875465980974193,1.1683384048681218,1.4042936193908147,1.5989945352692292,1.1786920997497565,1.1291307016903114,0.8072041697933846,0.7864569709905196,1.308341097076219,1.2926433715073598,1.4734380384784405,1.6192939295662228,0.9762516386713999,0.746410922062421,0.4631290398919698,0.4326613488901943,0.46492322812414527,0.43715052205656574,0.5905419321181539,1.455628109130232,0.471706801171813,0.6098476696449316,0.7825240557955939,0.7457422517185397,0.7787591930540065,1.2238245528044922,2.0845807882027203,2.6026245138213864,3.369791382300373,4.543733137961101],[1.0040955634157684,0.5900174744878894,0.5742727115883484,0.5040986204413832,0.5500921593042671,0.4566131076466684,0.34093555848357693,0.40814675124689415,0.33151866718791456,0.3091247691274375,0.34632852568879946,0.42631981386554224,0.3527435720982891,0.34215761766226827,0.53206129685085,0.4392882363670923,0.46699487889860886,0.49386642924407165,0.5615806648946492,0.5455677225926572,0.5700427051951067,0.6551258043799216,0.6825165891155925,0.6706771859272549,0.5806652937004809,0.566186305381933,0.4918593822196054,0.43151593154071594,0.4450435509516529,0.41514895844696126,0.5029544491779295,0.48098254630230836,0.563764943358538,0.5331597909708189,0.46918194550510095,0.4618443529299221,0.4349025265714183,0.45234154721254904,0.44200199139171614,0.4435336440643404,0.5403559236060891,0.5503874850223694,0.5704397051661367,0.536972865973171,0.7343636553897064,0.9468983782687906,0.7986129594522664,0.5976754838567538,0.9678359273004788,1.3101010756491491,0.7615938234201098,1.061159090803874,0.8872849081138553,0.9565624094539562,1.502264253941303,0.7913937714816942,0.9014375836974167,0.777938813054576,0.7542262137590492,1.2263868878083335,0.8297060692239084,0.6723845788857489,0.6178791270600832,0.8956462293958569,0.646433069910275,0.563256308640749,0.8282218580730872,0.7040026740792333,0.7736621629756618,0.7392419218555011,0.9629345793911183,1.207155142442689,0.9764809814055035,0.97714179493443,0.6738644989821845,1.0918316351686532,0.5929738584038037,0.5631155148236909,0.5197998315520244,0.5408006799434631,0.5568403644018064,0.6168384436373403,1.2433538248218696,0.557977601341946,0.49874697735604295,0.46616932473862405,0.4808959769338864,0.5569507248756134,0.4723231048045542,0.532724047587868,0.5661868034617975,0.7188983526929155,0.594660105628728,0.5617788016609447,0.5379415131256429,0.5943847748946254,0.5616758216575035,0.5382378558930956,0.542236322107774,0.8253341679521841,0.5569488449230056,0.6752833774275154,0.501882962164946,0.5718791272998119,0.5513977532052772,0.5816782349202136,0.7751954636468253,0.48399085796251595,0.4884611100449984,0.804902453492128,0.4169389608098238,0.35604933632278407,0.3337749527089754,0.4057642199488077,0.3545284209635979,0.40749472167153666,0.4440664239926332,0.46858775054494034,0.554281501874325,0.5568054184292675,0.526057869631135,0.488589151873649,0.4919523228367008,0.3919912954410676,0.3870356483463419,0.37426484748035604,0.418521570573756,0.3937950296111095,0.35386886508164905,0.4282539203157474,0.42578861158334785,0.4695454557675794,0.4000110371084241,0.5409922663757827,0.4375841913420901,0.46455384110388337,0.6512641601706906,0.4545651968378671,0.4822656064876098,0.43517153797554814,0.636334610011642,0.5898767510046711,0.49761071172312626,0.41362993901292944,0.39964098821556115,0.4154914927602869,0.36079172970891477,0.40039885765207506,0.368423810897272,0.3952138754780544,0.48487237488240126,0.6181127185733916,1.03606796109465,1.9918233447409082,1.3527729498205643,0.754968769940959,0.4977203151438384,0.5345053146543151,0.47562052017528145,0.5075503411066672,0.3995715771241403,0.4245064641173341,0.3821822942558003,0.3917828303769128,0.4193295912279956,0.5559941411081439,0.48145306549985956,0.6349323619539116,0.7065414203046391,0.7359432324556169,0.5090977029516509,0.4191140857839843,0.40164192704347984,0.3990106953314301,0.38936939264500037,0.46254368784853517,0.4693079454926447,0.7465143749454952,0.4511208661783764,0.5319995292008777,0.446418265124803,0.4445245655207574,0.4526110004036045,0.43026991351349575,0.45855111507712537,0.49519844118485384,0.5358512594960031,0.614087709461081,1.2789878897822782,1.8618382718085906,2.4024717217673124,1.1786449569847337,0.7997778084960743,1.0001033171907439,0.6617204709030922,0.4928713419058902,0.5922732452542716,0.46326668293700596,0.5063514099043015,0.5704287837136989,0.4664944221531083,0.5689769484834081,0.4717641323550101,0.48466374199692513,0.5148538250824942,0.5382240572834682,0.6893213585694536,0.5387731382711946,0.6713832011393601,0.5744110412984168,0.6477105266942886,0.645254660893288,0.6985651954066755,0.8031494023301889,0.8112027040893219,0.8162865684521026,0.9303194362361974,0.8522252267885475,0.7177255572806559,0.6617542068931362,0.7180393693222987,2.033746784146293,0.9490971384950191,1.3406561320193395,0.7694376264356884,0.8128590266369096,0.8904645958618376,0.8658133169082729,0.7029382246629229,0.5589965124739602,0.7416202697366812,0.5918972222247633,0.6962294282639057,0.5378692779057106,0.9574952878491952,0.6308615002584782,0.7971404483914609,0.8691103448669741,0.5487357000120088,0.5736046001246017,0.6592821875612603,0.8278918736772822,1.0770801089926025,1.2419439124164924,1.3232552657684953,1.0269862197672608,1.0337276399077062,1.343072998369927,1.130176693869213,0.9168971567497018,1.2098630399258627,1.3138662421537572,0.9622029787511519,1.0082143344234544,1.2309685733317228,1.1136097692408464,0.8833571944641795,0.9715006593601626,0.817368588401855,0.8208208256267918,0.8034316926651608,0.7372417470244167,0.7155739799290309,0.5954420182698718,0.5992394177148571,0.5706341548594598,0.6186268571205233,0.5631560793445071,0.5864066727711719,0.7688887811167266,0.8286622099622252,0.7469453548038324,0.8300823355479473,1.1441939224932276,1.1535500773851646,1.261535897226725,1.4710151499814133,1.6888360626555075,1.2618753814813697,1.2702403276870384,0.9138357649390946,0.9217373788950947,1.5148480873885104,1.481983067512107,1.6315785403490568,1.7297385399988194,1.0439030645698475,0.8542345821109355,0.5396396745633207,0.4452559722428615,0.5031383417244415,0.4693705158599319,0.60214180909273,1.459912460482381,0.4806035138941153,0.5925771499657081,0.7679099818574247,0.8048537176264999,0.7299620700446925,1.223043667070662,2.0493771229022792,2.58028377257179,3.3079636737815434,4.378122416308347],[1.0507913913549478,0.6353245971855348,0.7055684720416391,0.49444876536765364,0.5418658292694946,0.46139731974131304,0.33609985376584794,0.4318539587338448,0.3388369249325734,0.34935617544827696,0.41449528696373283,0.4890535539584687,0.42029841887778363,0.4136166344746061,0.6283510376341902,0.5339821341982767,0.5174524380095273,0.6037760878133024,0.6740170645947836,0.6434955100032491,0.6902350354509815,0.7637506707360965,0.7799010524616274,0.7801279965573684,0.6737668873833859,0.6773355058188815,0.5829778471106964,0.5109070010084324,0.5383843974384852,0.49142467812192486,0.603100034558495,0.5643266768236591,0.6500298226696327,0.6254119311646604,0.5525623982450619,0.5475777919105947,0.5222835707197485,0.5120452930413731,0.5066972008457913,0.48990015176305235,0.5897726042782584,0.6374232119360893,0.6747476178671441,0.6184228347613563,0.7906519547390107,0.9677856334247319,0.8231526094657592,0.6789921389290614,0.9906280610559589,1.3268575050980405,0.8085109548579282,1.0979000390693339,0.9562834810082191,1.0231866556952398,1.6032179050722872,0.8493298454347619,0.9738823775602603,0.8062103999707464,0.8082901391279904,1.1578138441806052,0.8549869061545446,0.7460885150549148,0.7197020678212394,0.9888488570309022,0.7301133704245221,0.6516110875615094,0.9192685697746501,0.77823660184375,0.8495808357905268,0.8197301292954802,1.0363807625255894,1.3251270697745323,1.0702484864304849,1.089841179267915,0.768321207925399,1.1912171579828335,0.6884153704465406,0.6610718599589295,0.6151154015451057,0.638240483236796,0.6353607583590195,0.6695733606278677,1.2631078735849142,0.6400662771896539,0.5524913930007569,0.5487535919118918,0.5768738645462735,0.6333540697516127,0.549448019606245,0.6380894953496541,0.6502800210291337,0.8224637392276672,0.6963361931576896,0.6573357720719574,0.6233991439796172,0.677993038464641,0.633270823307852,0.6171369771159866,0.6108079946418922,0.9302071212123358,0.6348699945245622,0.7353139128365266,0.5817086566932488,0.6381555840618729,0.6184917727525862,0.615502057331226,0.8355989784376606,0.520034600548163,0.5270587320779138,0.8158502814530683,0.4504386827491161,0.36830645432451303,0.3416438530042169,0.3934402968403491,0.3921042636452905,0.42644742269707125,0.4948916599900008,0.47900383676551345,0.6228137599190486,0.616598627391753,0.5858979691949113,0.5326096224815303,0.4647743877725656,0.3757796039045517,0.3880524280695523,0.37981189079676364,0.4101300481952408,0.3991007212548315,0.3767427009363692,0.45089790780189076,0.41856336355782037,0.4898351032718945,0.405652329661879,0.5763281123169482,0.4443071307580011,0.4695088993361595,0.6650363007554679,0.4268804549253218,0.4377219145806988,0.38900389443837474,0.603226140830376,0.6071422366669653,0.5540795392499436,0.42385216970796363,0.4507216263636235,0.46501598267927136,0.38944048914653384,0.43630688961336134,0.39513194276465446,0.41562963741159387,0.4992562276977617,0.608213697711739,1.1143382833862328,2.048762473639732,1.3561335586073975,0.818473489017645,0.541623134122592,0.5919058046875232,0.5202707279128493,0.5378974573315591,0.41990397236285354,0.4750239635963094,0.40751419919897275,0.4402927691950843,0.45157249682552747,0.5348087041916832,0.47646615617776916,0.5928636833878689,0.6783129499324612,0.7043785148038567,0.49351969543936863,0.40251716755224093,0.4218589304026964,0.4336941175023456,0.4447777221603424,0.5268994296695177,0.5277839632340752,0.8155503025352085,0.5271762152202526,0.6153049691641377,0.49362611769468784,0.4905303327337114,0.49464307451670764,0.45625059650436217,0.4729097239005089,0.5276537928484714,0.5903071283490108,0.6424591591749984,1.2977080680177464,1.77020654864043,2.3533152623779077,1.2437959812879629,0.7880068445881743,0.9835845357779219,0.6529829128839482,0.49674657488741397,0.6188968133918321,0.4506160661163348,0.49278213881967453,0.5609435571641374,0.48578823810958216,0.5951521223635177,0.47687119942928996,0.5064615954366464,0.5536335424904429,0.5551910800063916,0.7311130871524436,0.5883267269775438,0.6895060788519428,0.6177280182345908,0.7348459482906963,0.6974496591476778,0.715578762705893,0.8991387882916173,0.9301911725910327,0.9340994333437841,0.9844407274565824,0.9423594384460563,0.7884227948334551,0.7261945686387832,0.7574558173210438,2.14595037682677,0.9847310470247337,1.4257677967594276,0.8407695373685745,0.9014163178396185,0.9773241571456845,0.9467193746075647,0.7725888606208093,0.6070624658867683,0.8077913516975832,0.6100081184854828,0.6797855717342982,0.5514380260306964,0.9808790129454452,0.600970487913973,0.8017489709620291,0.8437628307848258,0.5497367863993207,0.5859884987201118,0.7109003161602471,0.8760178125338757,1.149648426893172,1.3348840714585863,1.4091455697652269,1.0945263790427655,1.111699352305137,1.4571656284732304,1.1935568291325676,0.9592167053998893,1.2595516731851257,1.3397380000816859,0.9708543269225168,1.0385768769790997,1.2476743637756031,1.0769730335412269,0.8852957792714953,0.9942237390226253,0.8502588208996885,0.8761253723947264,0.8504142248449519,0.8025739185087108,0.7656880541394825,0.635717940769622,0.6593574470070654,0.6149899291363743,0.6583063251274442,0.5946135532661314,0.6153337927179536,0.7923923932801615,0.8634523497675283,0.7608591733280452,0.8429071524926907,1.1865846815979968,1.1981504181373324,1.318956151299146,1.5079248103593934,1.741769404820838,1.3703667181881292,1.4027098960182471,1.0010831931952746,1.053818261910935,1.6663634887092504,1.5937190004492356,1.7167236337521452,1.7687893972627633,1.057249664023277,0.8785759611321136,0.543169777539004,0.4389910863557573,0.5207966136561317,0.5043230004165822,0.6452334713774379,1.44583402659692,0.5083439659407519,0.628464497349946,0.811909381253267,0.794976015621141,0.7274703748844562,1.3648153492290234,2.0776233781070266,2.4040436969008123,3.342273714247844,4.326633442798376],[1.1505139715855779,0.7729017375044023,0.9497011346157119,0.6305500894657358,0.6324665803912413,0.5417126895012874,0.403995678367951,0.5266014049857405,0.3951616199530101,0.4008009126258028,0.47800756043167614,0.5910164467151735,0.5018520801946503,0.4599250821399311,0.743539431623426,0.6453458576943528,0.5651003196969091,0.6768942596959387,0.6987947422523159,0.6988319699519829,0.7252460257676779,0.8078780229773594,0.7788530668920388,0.7637848960198489,0.6846024261992688,0.6800411548059294,0.6156743121263522,0.5570712854772663,0.6169874730007701,0.6062390779427977,0.7470435077093152,0.7212561726902164,0.8087019835916043,0.7943684193002276,0.7257237222723935,0.677465469637467,0.6674553274882793,0.6149005098475998,0.573042567380343,0.585671435434282,0.6115044441104716,0.6739073238059903,0.7205190655079244,0.6751850637859464,0.811419129235432,0.9975880058729663,0.8515657117600599,0.7426215123520468,1.0438642069054063,1.4269268890066584,0.9328678612587086,1.22844347673838,1.0628755867215445,1.1737964625531887,1.7562861016758966,0.9617096548822205,1.0433097899058266,0.8919822669096832,0.9480456972617974,1.1074471609901506,0.8699189783844676,0.8359917123927922,0.8292342669266957,1.050070371572592,0.7934313772241471,0.739155666596567,0.9664135538497133,0.8550899560664538,0.8687513049141543,0.8949554622583313,1.0690697133437974,1.3924674466629328,1.177983837298365,1.154123125792195,0.893490315882584,1.307463791487895,0.8129885422868478,0.820457705746996,0.7736057549961008,0.7800990476647893,0.7996232160033255,0.799109354796421,1.2822884876652194,0.7967444502662246,0.6357929659264742,0.6618145604858201,0.6906350983399437,0.7733914061882289,0.6832055694787147,0.8000114425691381,0.7982494544598787,0.9652068359074708,0.868700094615479,0.8398761941579671,0.7877859323093664,0.8621026314565662,0.7884436839517796,0.7847775906274838,0.7740325098983623,1.0530651295516953,0.8085915829047662,0.898234773772496,0.7621079199654313,0.8162002776938595,0.80880849391287,0.7846284065491375,1.0264884064298214,0.7008191535540528,0.7013598616795357,0.9266147486061991,0.6092810947541989,0.4821472211593391,0.4214966171103819,0.4573393641232099,0.43964070724899107,0.4526062957650377,0.5427292647808183,0.4692560229106652,0.596059765008799,0.6360330218091651,0.5810213505133784,0.5232185650275519,0.4483961400169412,0.4065647364918361,0.4369594940270853,0.42128477487530924,0.4835450054829771,0.4894484926218443,0.5036569192957784,0.6146878472131815,0.5433871195345377,0.6415190169139448,0.5432904722040344,0.7404611130994784,0.554741725422772,0.5411034404261428,0.7252243603729707,0.48364280948352495,0.49961919854490244,0.41548082910232087,0.5690563026946877,0.5582342836287746,0.5512854313752358,0.43393532257823597,0.48863474718112815,0.5201202277789978,0.4523350763734207,0.5226048472054848,0.5027627025952033,0.5071406817616654,0.6251730824226145,0.6879590808939811,1.2903967053327037,2.008142794552949,1.2750143962136211,0.9627578560301532,0.6852084126427475,0.754860547421159,0.6760134891615287,0.6928906741610177,0.5482086206983112,0.5798039407404405,0.4770584839210644,0.5195982443429243,0.5370858968490934,0.5500504139569353,0.5237127608024275,0.6040464564569448,0.7157835712692798,0.7121470711460255,0.5442258353163999,0.45419249090301733,0.5227703413907492,0.565579253300992,0.5835601917515048,0.6816222667012564,0.6864543818802843,0.971093086998647,0.6768736931528222,0.751306251073875,0.6408228909912728,0.6571586102354988,0.6609665608024958,0.6112420307898407,0.578497035699653,0.6281046250486948,0.6960708903600291,0.6845751367972767,1.5066641988657523,1.703913505293596,2.314293295929291,1.2952616290805379,0.8171866999026755,0.9565880029553638,0.7209028635953543,0.6415359541139583,0.7609240874094566,0.5839971460070644,0.6181689820428262,0.6676144618060651,0.6737675873869904,0.7753643066606247,0.6403121189377072,0.6744984207487689,0.7449770468770696,0.7162124244063817,0.8948895812100501,0.7745538289871983,0.8396143831424285,0.8046275775854467,0.9440010824361454,0.8845561965580494,0.8762652295619895,1.119449846900038,1.1952414568360081,1.1930309899668836,1.1387034945674352,1.1287620465879757,0.9683569534191863,0.8999917336122789,0.9493805976645275,2.318805874874747,1.1310142370038085,1.595159567824619,1.0360930023392938,1.1073073856894624,1.1904470421222824,1.1809677669727372,0.9749818501383727,0.807492902272375,1.0228225733168688,0.8038010773525225,0.7946248289625002,0.727473411488982,1.130751133482576,0.6960693572823478,0.9125029020124827,0.8624907976560505,0.6821859406267042,0.7780763812851651,0.9230970886711944,1.068546847099359,1.3545734456941438,1.569802738536319,1.617723484697258,1.2964157098120601,1.3394909372799846,1.6732520783179763,1.4043884543116256,1.130128059364993,1.427868819354697,1.481818593606349,1.0899523784136846,1.184710090783891,1.3753429127427197,1.1544041022600593,1.0113181842209529,1.1276028409860794,1.0053484487430744,1.0540775998136334,1.0375328984761572,1.0100596733466227,0.9444663636145962,0.81478183361395,0.857110476754083,0.8051198622737405,0.8287187078453373,0.7556110311726617,0.7843038529732045,0.9220339013544443,0.9726588745845101,0.8636920849929498,0.9411163839671783,1.2754598270493502,1.287611374559766,1.4244604728074184,1.5922543187875213,1.8477751288946849,1.5236736533246344,1.6217823917531589,1.1984573499643478,1.3189827897826187,1.93572695049666,1.7822477581779137,1.845008386903143,1.8270391438153404,1.1286386343478596,0.9828905577981659,0.6542535841496653,0.5440378121099171,0.6589264467052439,0.6706146713545106,0.7846626935438026,1.4627832110614782,0.6567475655939805,0.7649868548437327,0.8814228539799067,0.9574896660656183,0.8127035006094615,1.521638360959254,2.007670948905475,2.2133610225095617,3.297398329712243,4.153728496878575],[1.0933791719488124,0.7108704371428858,0.9007756536014954,0.5624081311354433,0.5862756843064194,0.48453792136468166,0.3319451073951433,0.49319113702370604,0.37032632460389137,0.3862005446708309,0.4600200638792254,0.5452429992428874,0.46782178518331025,0.43905598957950287,0.6725212603825974,0.5786392933718011,0.5429329488411256,0.640885656876832,0.7080295157180834,0.679139344533077,0.7274146644987834,0.7898243213436258,0.8069934083616096,0.8007242580240629,0.6919554386192018,0.69423295997234,0.5967932227364597,0.5385252801907601,0.5709281889101175,0.5327584713239087,0.6585181517359788,0.6141898180932415,0.6997120024421071,0.6801903868108008,0.6081355914846767,0.5909625178519758,0.575231878993468,0.5436542869110056,0.5181470454000113,0.5053697653302599,0.6043031913707715,0.6521329667182918,0.6841506096483835,0.6235810166181827,0.8037128689676983,1.0092512191285747,0.8563866282834565,0.6767812053150957,1.00879800444633,1.3800945033256153,0.8565941243710818,1.1334368097424834,0.9700917447325919,1.0631760804411425,1.666306610930148,0.8847179699297281,0.994298326890654,0.8365978346071876,0.8470351050346354,1.1591400758277648,0.8723344611587865,0.7827335068661277,0.7592614939792773,1.0463205595817473,0.7770409618630297,0.6962052172547796,0.9648835625551409,0.8251394136231402,0.8878638389567245,0.8723239031515255,1.0709999555978877,1.366372610492481,1.1366081421662293,1.1519007723139263,0.8280050731010918,1.2480370459809915,0.7414348757425012,0.726209493616384,0.6672286109209149,0.6799288695232337,0.6958122521378275,0.7091133633646636,1.2661588041201055,0.6879485851693536,0.5744378452722987,0.5855235682452666,0.6068357514676179,0.677065686052827,0.593842739959797,0.6981157656143847,0.7163793295415884,0.8970305642199641,0.7765777036446394,0.7287532731103705,0.6867620972269312,0.7490602077407713,0.695808971329262,0.6749596115127964,0.6692977903699948,0.9663210965323326,0.7089953519028968,0.823548422006446,0.6572007442634162,0.7451426297191992,0.7318985045831778,0.7259565516779534,0.9904160094330156,0.63012031153849,0.6338966974112408,0.8997171945831214,0.5643544894582673,0.4365158012750047,0.3687054238436687,0.41714485542028745,0.4186032878638161,0.44057013651917876,0.537463167982274,0.4858211564031373,0.6442193271861582,0.6380684019520305,0.6052813329210314,0.5457660686478358,0.46160085389266586,0.39594159744538865,0.4006907560173727,0.40299734737734116,0.4249165786829802,0.4550265147808045,0.45070012423978356,0.5353376928963604,0.4945942461075772,0.612857042158024,0.4856422778671737,0.6411073518727054,0.501612165666489,0.4950089065168152,0.6604240713742382,0.4307547635331987,0.44498049572998305,0.3889920777214927,0.5896405376823642,0.5969641068904995,0.5458293582038147,0.41852232856609545,0.4699489055580403,0.48450230635569536,0.41519210978683774,0.4712966857243061,0.4491288430521368,0.4720098675924739,0.5827192415130932,0.6526760537786815,1.2239938926204412,1.9568731663550751,1.244072668715235,0.879505356112645,0.6127272684830795,0.686935119300965,0.5867033665257254,0.6377476406291437,0.4813821682681926,0.5134684842549262,0.42789565453451367,0.46548982584661935,0.4659401602719845,0.5153549807775014,0.4750397988817961,0.5971439364913581,0.6815460045040392,0.688758645805245,0.4889391569259647,0.40624402595031484,0.4634287970180438,0.49043776742688144,0.5039752896178392,0.5970712204023105,0.6024941866833582,0.8882495219035255,0.5894460384253376,0.6804585587722619,0.5604349659373717,0.5781380529087722,0.5758549917611832,0.5289866753896384,0.5174764279892772,0.5500411817523265,0.6191679688175618,0.6316911936732155,1.3758729439874526,1.7576170272493852,2.3313236268222117,1.203434448618945,0.7915962848025169,0.9548845318981971,0.6441072957952446,0.5374378005965773,0.61883127360702,0.515446766437796,0.553515743080132,0.6354108684526562,0.5803664123097135,0.7002801820685135,0.5629606955122372,0.5878325502107514,0.6521648396109218,0.6340572516085111,0.7992287544968877,0.6753583343675584,0.7883219193926345,0.6826287508655952,0.8303504715604003,0.7850984244750255,0.7791633826036136,0.9782289416786213,1.0549535278953044,1.0725070948358577,1.0756946287717808,1.071044530185222,0.893414838920556,0.8301885531214583,0.8807827026288262,2.1683097709749255,1.0232796283267918,1.5527358626821686,0.940943545750344,1.0078812010872964,1.1078345516543784,1.0689024491824426,0.8841553846099879,0.7381798365772743,0.963446598977224,0.7374664785289936,0.7896918360448261,0.6965282391780989,1.056095863600792,0.685701267250314,0.8583501027750283,0.8435258544079467,0.6167337228310489,0.6634483758818789,0.7965418585632823,0.9938131337305808,1.2691630189833611,1.4984829465236789,1.5466414735652014,1.233594508442953,1.2980782589703617,1.6440667627461754,1.3650149579242705,1.1060539055309095,1.4636722910757654,1.5497489277177723,1.12380648273001,1.2189162408931387,1.4613418330553882,1.2553989512541417,1.0156127047615384,1.1578527159795957,0.9844074035104655,1.0355697823079872,1.0028663503628927,0.9570461391907576,0.908710094811487,0.7442039621480125,0.7759649711899774,0.7295324547036867,0.7589750304808026,0.6816881600385286,0.7133128874421879,0.8945743065425863,0.9432027225929933,0.8332708796557011,0.9383954401638811,1.2856557827598136,1.2918660586224655,1.4259215235616454,1.6250631916062135,1.868747406685829,1.533936098539861,1.6055594068773102,1.1289961132703068,1.1979609239457165,1.9025769070147625,1.807127237633409,1.924229144855298,1.9172421796859203,1.1337202305794816,0.9499732519198196,0.5996716031536123,0.4879861421733042,0.5965042991651445,0.6252023654678491,0.7690505625700016,1.48262357374079,0.6207404930238424,0.7190643501123942,0.8480868743003107,0.9490163968874576,0.7237365339176586,1.3377743922185044,1.8863236269091959,2.0315690344523296,3.1531632404251524,3.884298443619955],[1.1578913565577864,0.8354143065820103,1.121892828906494,0.6550474878015188,0.6809528730591566,0.5709731258293117,0.42950852705578374,0.5923197378917697,0.44334477758661345,0.43353128212885217,0.5062558813131662,0.5955073130280572,0.5279712009518018,0.4653427789778005,0.6872283325383208,0.6138834493018953,0.5709695953810352,0.6405613409292021,0.6970905398930101,0.6679254805124817,0.7107314850148739,0.7563430336234939,0.784124664634681,0.7871662185870909,0.6637895720280479,0.6657592839399111,0.5959183025525528,0.549689103246136,0.5913750799615533,0.579237329514201,0.6799063208558837,0.6640839817498708,0.7379483226638794,0.7090372480829976,0.6440388865083727,0.6254328723652838,0.6313657766036307,0.5858319372840689,0.5520877653409555,0.579007485229525,0.6014056378506968,0.6253418061056725,0.6736018614933849,0.607844894773091,0.790587725212224,1.0038148015570458,0.8249824393698948,0.6362716991033401,0.9814186616688191,1.3485612987748112,0.9247532993267247,1.2249818335024438,1.0189864831765003,1.1348407486371188,1.6804595897173746,0.9215657899397317,1.0171745358150908,0.8628313502884208,0.913445084594355,1.1454525671954057,0.9364681030627475,0.8171725406432148,0.8030828616085303,1.0812744379424823,0.7720730351371569,0.7050394450295986,0.9618216785835215,0.8214731796838718,0.8873997060148391,0.8766404417573748,1.0645693777035838,1.383251220664825,1.1585961088220447,1.1607934522761263,0.8515125454190688,1.2995926437135479,0.7589224743300063,0.7574900746858756,0.6944057917188997,0.7374281944920924,0.7479984484325896,0.7598271845535345,1.3614570354587592,0.8276960278311197,0.6297239125822075,0.6429726075472159,0.6319614654939117,0.7179902386354169,0.6208215133864257,0.7375523548224514,0.741007463515497,0.9343965072361721,0.8080163291496845,0.7604239362815677,0.7057510261305088,0.7831470321314722,0.7498145450934735,0.6969904935421974,0.7107208179546296,0.983832081002656,0.7657150501338864,0.9017717758178292,0.7545190127498307,0.8585856285940385,0.87001344448836,0.8501954769601868,1.126574940870974,0.7818732291208704,0.7819339671493302,0.9908413705784185,0.6988819526214379,0.5508513028466031,0.47888884855800967,0.49176320580707855,0.47032716543941194,0.47207266965358363,0.5501952814840482,0.4905968635746727,0.6480856156044978,0.6506747792369101,0.606011231261666,0.5543218717940622,0.4742139383220851,0.4356473069567056,0.4679276166880723,0.47655835046512285,0.49129829848018386,0.5643894562209905,0.5856084176044017,0.6727351045019075,0.6378574987129215,0.7668946905428052,0.6287321536557946,0.7716334307299838,0.613850371103183,0.5660307858913656,0.6926573845094781,0.5078139153908071,0.4854910222973153,0.424033284453897,0.577888717696757,0.5855233206645145,0.5601293788515093,0.45234440737836357,0.4988218136806007,0.5171853422701415,0.4640682760142913,0.5319151702445138,0.540629762225124,0.5521352255236734,0.6764752897960651,0.7168305739850944,1.3081521174825235,1.8590774096732894,1.1648107730381436,0.9357091760282407,0.6883892120690686,0.7820880010913402,0.664398156074924,0.7177759613080794,0.5730354512506332,0.5871889637216106,0.4971407207647402,0.5220778374019445,0.5516016327031823,0.534864264002291,0.5335712600058149,0.6187317272096262,0.7218953794345745,0.7048370901615632,0.5421602149521108,0.4859395256181352,0.5784393318440876,0.5837564016245519,0.6022175916716402,0.7104714409413984,0.6965215624672586,1.00647253938557,0.705021109598986,0.8207117983093034,0.6513681368506588,0.7023414030476061,0.7175933214890716,0.6595552205591638,0.618556526997821,0.6276831249122105,0.7066346540146466,0.6997884204629468,1.367592124986779,1.629197617077586,2.186698512118558,1.32449035076012,0.8098280697595184,0.9957587395591923,0.7600396178442772,0.6652020100776881,0.699603008798945,0.6484714911591144,0.6929451717312343,0.7616879943280187,0.731796759297955,0.8258804582515633,0.703934983096359,0.7393153655040433,0.8086630715844112,0.768991575273825,0.920540077019805,0.841049024478247,0.9201910153207177,0.8440972299581814,1.0008737581597973,0.9557349511135724,0.923796725234593,1.1624470619280896,1.2623667484000816,1.2614603061145655,1.2313517460918415,1.2136870630428649,1.0531051434485716,1.0127679676505492,1.0650342568783429,2.32696666883221,1.1936889576409029,1.6687027232813814,1.123043129257051,1.2122311783643538,1.2825665377485962,1.2576085493061344,1.08951822819653,0.924073954798776,1.1205494070969952,0.9176294159034478,0.9308233338816928,0.855255856450345,1.1823869186474452,0.8214624389754291,0.9799391436150382,0.9167388995713479,0.7564473274522326,0.7998054193826816,0.9475154562557042,1.1350548531026592,1.3957501726879775,1.6141704811717044,1.6655699153359473,1.345791150556808,1.432482530938732,1.7576548735490525,1.4648278533588046,1.2057017407622983,1.5600095255391482,1.6161858501959272,1.2006985230179108,1.3319369967607242,1.5512587438019276,1.3200230720304398,1.1363471273163297,1.2835116881028028,1.1335571534898867,1.1911820462362415,1.1456160534986388,1.1302036317920818,1.087351721116958,0.9132055150260097,0.9456153514425936,0.9163032827569204,0.9319561076338077,0.8476511089000107,0.8876210901847593,1.0465228050583923,1.0655519279039851,0.956734232275072,1.0656248044075816,1.3728084576299429,1.3640867328785458,1.4955667613028782,1.6746960460953433,1.9233841431101177,1.6310586129650098,1.7297306254673883,1.2640095885146707,1.3637692948372604,2.044322890534328,1.9103226524849093,1.9934903066516632,1.9616989417536916,1.1987512345031515,1.062268664430875,0.7328504864836771,0.5929878038959293,0.7475641527017982,0.7695559031465686,0.8954272452117671,1.4425944452595596,0.7632029584943082,0.8885913097605529,0.9843295531063788,1.0165574084726847,0.82730976773143,1.5034588555239699,1.9048647402788759,1.9793655308261642,3.189051778709642,3.922210774661739],[1.0440498696930218,1.0285528193920292,1.3622031397703769,1.0004059264442733,0.9863411151299567,0.8061159689748841,0.6282278297100815,0.7330010446802212,0.5626035025700367,0.5048654021085545,0.5254820903698252,0.6066041448399045,0.5417985462045521,0.4739636740784746,0.654147258657975,0.5948870083925065,0.5678736526020667,0.6326824896117311,0.7012874884780581,0.6720347788052025,0.7165105081755568,0.758787990785496,0.780537123434943,0.7973067674123582,0.6816357206227177,0.6754776115967526,0.6074539321202347,0.5695240957769738,0.5864537275292271,0.5691250660681846,0.6694200505620186,0.6532215858640271,0.7450819375988894,0.7197115719891478,0.6394818261557527,0.6125782857999842,0.6197133040482314,0.5805055464561165,0.5648909199112646,0.5903360986920199,0.6210550890249649,0.625903661237716,0.6552683621572405,0.6077637204489749,0.8264936156209091,1.0680396014222204,0.8695272466402767,0.6279327192081631,0.9757777726048956,1.3209865721605742,0.9275210787416538,1.2248642639040466,1.0030499155806867,1.127018064311944,1.6783541260556636,0.9077260940384706,0.9874248811136553,0.866350549549605,0.9128560917064975,1.1707669228824757,0.9346945059880982,0.8178242900638013,0.8098113407149756,1.1320870408895736,0.8000767044125414,0.6987071052494828,0.9791829112127081,0.8349011585076666,0.9114077576552955,0.8824767640637466,1.0729289776800446,1.3950534216388673,1.1630487599863635,1.1917426502524537,0.8627866072419136,1.302550009493554,0.7774549112584093,0.7809370751806805,0.6935712584049576,0.7306260640302116,0.7291711913124945,0.7350356877657129,1.358885540421039,0.8324531925613254,0.65232873000717,0.6358240044740278,0.618114864661305,0.7085926030966666,0.6165070661691241,0.7334016498786977,0.7568246024516987,0.9518195533186284,0.8324883400536561,0.7789288430899243,0.7022458687180535,0.7819356307031617,0.7327509599441928,0.7042454463744842,0.7069327124736678,0.9953346733058581,0.7695988008298832,0.9233469289647488,0.7649711563427035,0.8983083701130445,0.9301465268782931,0.9466667263784524,1.2298003808223463,0.9135863003972754,0.9299625162473227,1.0920658624394504,0.8638258127122074,0.6888892828192336,0.6247997686233868,0.6275768667592021,0.549462627208143,0.5776777385370245,0.5889731509775331,0.567457432210798,0.6719059525317742,0.6555384324825665,0.6182788344711538,0.5895226153631102,0.5790577151388476,0.5803963495714111,0.6468285306157947,0.663766232234887,0.6605753803812939,0.7515738392759493,0.7883584160635547,0.817059792003324,0.8844568000368641,0.998356465301142,0.8267638092104371,0.8875073546414797,0.761526785427307,0.6777009170240155,0.7412628523866948,0.7130480811506865,0.6579752411864942,0.5634260963966863,0.6766706418964115,0.6658290245396917,0.6272271987427624,0.5411385933943624,0.5431272750297473,0.5514266571994878,0.5309597212211621,0.5801519175067905,0.6153299353336994,0.6330223185911054,0.7629864191709309,0.7836537959298029,1.3298754233387344,1.8336204172126738,1.1672763281882608,0.9523307680425518,0.7062952998827982,0.8242908834498199,0.6818719875455675,0.7781240600682668,0.6587195486803489,0.6246882082888826,0.5721781667528084,0.571978458566568,0.651798907305575,0.5915179766261727,0.6312300196656526,0.7276109678287932,0.8337350466893654,0.780325110084402,0.6595326322863095,0.6365731502111766,0.7012909264265871,0.6573335226850748,0.6491444073312431,0.7459909786916086,0.7112074204980768,1.0155872811436841,0.7258910497687366,0.850341315654334,0.7056673752386973,0.786546295614934,0.8202472223481171,0.7599530180607765,0.707142130674138,0.6761556222742634,0.7400404464452311,0.7186514142220412,1.271734556804181,1.5942506716921614,2.0550475267368418,1.3859521538404531,0.8436433450263546,1.1292088753689682,0.9603988949797878,0.8676952089050417,0.7637541114969842,0.9138631207244564,1.003285563513512,1.0376861599486065,0.9564356674039012,0.9880033571581591,0.9489229148107586,1.0412614211787639,1.024113889071192,0.9935045304937141,1.1870035900650997,1.150139656197131,1.1020370519802416,1.1381208149955673,1.3377701111612372,1.2428583194640341,1.1795948960138862,1.4600796065817563,1.595989245911491,1.6345531826557007,1.4931787841187754,1.601969417260742,1.4085366411680902,1.3113245215052625,1.2079381437160506,2.4691826532575942,1.4113126680180463,1.83843587541216,1.2890145632254926,1.324938574342156,1.3481536501241256,1.309342453447895,1.2383231604428429,1.1108578720816,1.243733511219109,1.0891306790326987,1.1575896614561214,1.0922182222891834,1.3423473532394516,1.143772845976078,1.3244958112522902,1.1536442471817836,1.0690336392622564,0.9637989540411352,1.0613772963641321,1.2158449950550807,1.4319395221276852,1.637039039313418,1.677665891787709,1.3849151355593152,1.4754280306221328,1.7853461008413518,1.5044551829614414,1.2782734955566535,1.6018655525212278,1.6617560512320948,1.290682737627793,1.4113106206206811,1.6079459303165347,1.4170768700146121,1.2753384080116634,1.3942291651523384,1.284937117422097,1.3022799166320573,1.2373594581613754,1.2295619546765233,1.2371866973849697,1.1244005151301617,1.1292389765172457,1.1514884077266014,1.2081268701655505,1.147522760378789,1.1669119101010075,1.3571700875473898,1.4295056885583575,1.3389017691735912,1.4483322270015362,1.8105010951059624,1.8177941948926437,1.9362280122968574,2.146464250924175,2.3747450619434214,2.0573921717060792,2.1913262341846576,1.6743032064226047,1.7404232864645293,2.4857433295112283,2.362549095307368,2.4717244076069416,2.4184071130228113,1.5857400957559762,1.4104946702190047,1.048490144192518,0.8309592878552887,1.0241113332496337,0.9599465925786783,1.040684187309021,1.4229266138880692,0.9653548562853645,1.1036619130400958,1.1327547021961495,1.1032982710879944,1.0568764772744386,1.6368273718788924,2.0208975760630756,2.1114438122655588,3.2870777546059458,3.920820360499992],[1.611163133590243,1.194070447184874,1.4074451248691524,0.8413339905384053,0.765713169677662,0.7465464381836032,0.6202620679648263,0.7328090317989623,0.5966557506268049,0.5886037761694349,0.6548118913362468,0.7765782536552804,0.6899602544608103,0.6271036194366519,0.8916122263542353,0.8224806570993127,0.7291050129164142,0.8152963295767917,0.8451666576664015,0.8470389281551013,0.8788609932914605,0.9378838822623307,0.9288874378886711,0.8929200087968909,0.8261869973280153,0.8260603944596158,0.7483550761062322,0.6976532875245539,0.773585154422868,0.7875075433458032,0.9014595101852212,0.9066784222659728,1.0039618543114412,0.9898062506740908,0.9263237799080982,0.8464592680556612,0.8665002085411065,0.7771300663857849,0.7460135512106211,0.753478028926756,0.7667068307917165,0.8281688126309417,0.8784920032096428,0.8234632953248356,0.9150379699901292,1.0828400965376488,0.974062914524582,0.8932489511351753,1.1616513711760377,1.5866593364364667,1.0276073581261211,1.2915814154776395,1.1610386786828941,1.2815624698824661,1.9104380583602572,1.119647188540033,1.1795115078965221,1.0296585018344528,1.0877822614789072,1.1988570377119117,0.9940927774597148,0.9773978060028944,0.993349771449937,1.2029228386877113,0.9460958845625703,0.9032059059318851,1.1204082494731833,0.9927154909534524,1.007166373553885,1.0175577691772955,1.1633877588863615,1.4748106357349786,1.287189148555305,1.289597225221989,1.0305456102367259,1.4406107868801048,0.972469651838929,1.014403901632099,0.9448842412953906,0.9394785644909636,0.993721390888106,0.9902518870924878,1.440985712397239,0.9829082652939318,0.8197907940702636,0.8451639161358229,0.8666948483177472,0.9636615985137557,0.8580367268533279,0.9856426234630362,0.9885471658356545,1.1441717789143815,1.0596422244569408,1.0289577700372947,0.9530090313519899,1.0173552002177568,0.9470972621454854,0.9663317898686519,0.9527536161654171,1.2287720686667392,1.0198672673363935,1.1289974149518602,0.9932395340032498,1.0564761810351568,1.0600703812780357,1.019207223260773,1.339303316707884,1.0299088720849252,1.0394825670939725,1.191586310848753,0.8955437430023427,0.7565201176715145,0.6566087584671224,0.6390665535399082,0.6178593326182784,0.5993210555028983,0.6868155804591894,0.6019149601940862,0.7160080899067974,0.7554467433719916,0.7003396797722542,0.6502965683807754,0.5715658114472516,0.5445412151132303,0.5671677251741724,0.6229181831392167,0.7751950329039146,0.7407297912812579,0.799938836658064,0.8926840248481934,0.7933775254676992,0.8840921957244867,0.8185877852786332,0.9724340786837892,0.8333022109615722,0.8529685202973875,1.0392147116390351,0.6894635452750881,0.6808994369722609,0.6110791296952849,0.7204161269049606,0.6889304331554456,0.6465946221751321,0.580486104691693,0.6460504325388022,0.6840862119104406,0.6260853913012269,0.7207640057065801,0.7224929880919794,0.7432692551969896,0.8831712019663656,0.881700217772731,1.4818130861283598,1.8835595460039773,1.288538790172105,1.1609968459620719,0.9141432426471511,0.9891522660582314,0.8729073850788756,0.9520099039892468,0.7712948116171375,0.7884911484636049,0.6797204847415477,0.7107777803115564,0.7119262550920941,0.7812986216490038,0.7939426326767568,0.8875455513233633,0.9984263067486303,0.9858157640936579,0.8300742129151685,0.6855747171650575,0.7226038656820372,0.7872685392257994,0.8056883705937031,0.9077602797648392,0.8826467579399886,1.1740965988934697,0.8947027839342128,0.9712984651610629,0.8530510935547241,0.8982379242694095,0.904942592650625,0.8735140941467331,0.8338533526147109,0.8623302138091088,0.8409614724296158,0.8757581595598495,1.8043355175944273,1.9241491148496639,2.5932247999946885,1.2432196364566914,1.0654540580584593,1.1122418252625705,0.8734081621699805,0.910492380832,1.0705337763668727,0.8828948628039233,0.8822323104905188,0.8925323491096535,1.0367602220283967,1.1435653270461987,0.950130066464378,0.9698719354038595,1.1381305477374493,1.0720801100299555,1.1176510160819761,1.0910214899331652,1.260563035505915,1.0735451037221733,1.2017627637802861,1.230018860088158,1.1912412407089643,1.3706874680444996,1.489595693914553,1.4568733261109756,1.4927249581321456,1.446895714063468,1.2749820527109403,1.316822684699772,1.5042281339864336,2.4644051675518446,1.4797980971603593,1.8914307372013228,1.4467104762508705,1.5596758434777853,1.6404239125250957,1.6081513827123484,1.4360247260761656,1.2668020565315337,1.4442722227671776,1.2680598408530095,1.207498199871869,1.1469244789692212,1.4149431595413793,1.064211664953387,1.1246201276836112,1.0491990784695562,0.9500270498333294,1.123181304354154,1.2664687249723263,1.4666814012055407,1.752536816033197,1.9971848797407536,2.0277600869448396,1.7122581154437155,1.826375837967056,2.130337372808712,1.8335097760671435,1.5846339141555574,1.9555870736953749,1.9952336659969045,1.5654361492894882,1.7221226190729686,1.946219799916805,1.6861646631790714,1.4889013270140463,1.6692941756004176,1.4984628443293457,1.592233395336023,1.5532940089486338,1.54721232154838,1.4825017876461546,1.2542620141672065,1.2896424555858852,1.2668350180669263,1.231225436006802,1.1106521318000866,1.1892423876250888,1.348681899257066,1.247987819511093,1.10282787508895,1.2774232320357297,1.4600877136815298,1.4121344113158525,1.4862349629822522,1.6975732313472527,1.9236505773883814,1.773562845823062,1.7920224195692183,1.3492994204151891,1.3933323878792963,2.010977864773465,1.8424868856969423,1.9127079201476624,1.7916959877806427,1.1766609925216553,1.017527292381367,0.8519123552157328,0.8468902510108959,0.8903600193280846,1.0109193674997856,1.1777695591485466,1.7012802926438078,0.9634246575959268,1.0636469758611018,1.1327046491194672,1.34195556406042,0.9401285565151748,1.350737654873267,1.6002856572760404,1.6593749594555356,2.994611063973566,3.805391374807025],[1.52881115979404,1.2060999123553657,1.4781010354634891,0.9241573472023081,0.8282675251800194,0.746115468243412,0.6250108119599187,0.7261858342577023,0.6470028090689941,0.6694133297423857,0.7740840418571976,0.920237092030191,0.8007203861796532,0.7297756986009621,1.0177926071580394,0.9505665609019313,0.8386357637615667,0.9104517279823842,0.9085225193406096,0.9452364637488542,0.951953300516998,0.9825686714632095,0.9700688365895171,0.9116606754840222,0.8645787570147943,0.8411530655029726,0.8111698347471685,0.7619667775184091,0.8831083626532911,0.9144450360086054,1.051515534639341,1.0446925671282723,1.1692729677498614,1.1393766060980584,1.0813336776527869,0.9804760125135576,0.9934481177830828,0.8818048734765757,0.8189525600027364,0.8434787594808377,0.8218520583528222,0.8917166504146656,0.926308434525425,0.8645975261588547,0.9908795756166053,1.1529474652986627,1.040485604996266,0.8990464682534367,1.1368145409614239,1.556437028421952,1.09898873489353,1.3463998273420201,1.2358061038168255,1.310794994239616,1.9293626263174652,1.209487922380866,1.293505640726045,1.1027837449420537,1.1744775844434239,1.3542655983903,1.1562639236364367,1.1232342598996754,1.1354553522473565,1.3187552966853981,1.0360524416479753,1.0132140778426049,1.2011532304768224,1.11472185780861,1.0751127166262648,1.1117229777846587,1.2477069545615203,1.5099036425985752,1.388547444550632,1.3539546495628079,1.1501659577074521,1.5437836069859348,1.1113333165140222,1.1780567898383725,1.1000749184117338,1.082200932365096,1.1448276443154988,1.1277311842327546,1.5985581687191674,1.0503095519247274,0.8790154280791536,0.9579760213298533,0.9665814169142104,1.107764447814982,0.9929386394545702,1.1651265302912583,1.1420789450031594,1.3006786247080173,1.2230719044985212,1.2019080250286316,1.1153911877539042,1.192523538366618,1.113330900400584,1.1342806787947266,1.1091221679802405,1.3108423780850227,1.1435238260220821,1.2347742828794666,1.0875653589991905,1.122785664153097,1.1097254686182714,1.041517126058385,1.3900659900387637,1.0179227863607323,1.0135086304173173,1.1620373523284542,0.8822936691529799,0.7665133114098897,0.682516080662827,0.6722771532169886,0.6820523097008687,0.6355488740849056,0.7524211962241487,0.6465341421866583,0.7718428577159508,0.8317631375995816,0.7667899704899274,0.7231129676137336,0.6276011882626416,0.6047915476727177,0.6195607772860002,0.6528393078344776,0.7459427085210886,0.7563858111143158,0.7956401870495148,0.893989666286983,0.8203049086952022,0.9218898861844094,0.8453279971818342,0.9686106960025317,0.8478376599004249,0.8345686443848834,0.9969275214574956,0.711563464994498,0.6922835074027136,0.6370460926368869,0.7253894663951101,0.7165801401863456,0.6979628987669602,0.6277610037672311,0.6958141462474581,0.7364692915581699,0.6800179380748406,0.7758811173785829,0.7741567127096637,0.7883562177774771,0.9106161823981634,0.930891832357845,1.4742410787812015,1.7731073824928218,1.3420481896270329,1.2370830510053394,1.0079738994874166,1.0394011613365368,0.942936224667093,0.9711297989614203,0.8023746296160494,0.8319994492151117,0.7151017890909713,0.7526810644724248,0.752601161302614,0.7902192126209484,0.7944275162996723,0.8877315277984357,1.0115113195144145,0.9681313519807336,0.8180020508584297,0.7142349760252719,0.7748175422086706,0.8233557407123212,0.8565727970215807,0.9716615061811777,0.976393331799877,1.282134166278869,0.9645299251535643,1.051225002667751,0.9002449487705432,0.9291150276606158,0.9380120617988237,0.9142171641176935,0.878740715532756,0.9009997797195008,0.9011928863965727,0.9367031960569395,1.8199315031994798,1.7507098572926452,2.3762399888942656,1.2949095240555923,1.0112018758889296,1.086192581991295,0.8889107768626049,0.9230693673600321,1.0294913781607162,0.8829840210462448,0.9060704732134248,0.9129002412032612,1.0226040170672053,1.1034286796379515,0.9341998649970339,0.987299845778976,1.1212359906988674,1.0384373410023353,1.1681537452770097,1.1357959770927855,1.2403228090257716,1.1111941675316426,1.3011889756496318,1.295117877019264,1.2242300117310645,1.509521747099004,1.663436865555268,1.6341123672422417,1.574226440416628,1.583253568578072,1.377500859486233,1.393353132869218,1.549472196313757,2.5584084960744824,1.541721415627357,1.9017370263338211,1.4579406244595314,1.5574905035040743,1.6155935964085497,1.58843788322606,1.4406868924085365,1.2664001503109763,1.4242069476218757,1.2751349638947405,1.2445370421348714,1.1599354616846418,1.413221108729895,1.1337869650804784,1.2001703190817843,1.0604893624159335,0.9926556887399979,1.0873689746789539,1.234763266252583,1.4320300968994812,1.6896584010574276,1.9559370975456418,1.9679529331574337,1.6458935170005478,1.7762964586039123,2.0751767222256183,1.7671375707372086,1.526919288100483,1.9052430154951856,1.938360502273596,1.4982927143013833,1.6859476549532455,1.9112544184775766,1.6448129863309071,1.483087757344281,1.6674081857914094,1.5050118149439595,1.5843789022429853,1.5245274883495308,1.53676673877554,1.493994379346274,1.26620177919213,1.2904764741997352,1.2986594819270856,1.28101465295162,1.1516163226867675,1.230352897367532,1.4129379486158626,1.3438092457510962,1.192202422913929,1.3650770952601885,1.5957886000906782,1.5508523714013915,1.644580441576648,1.8405437549699764,2.073955144432192,1.9002126399686963,1.9874065748101748,1.5047846439359998,1.5777897910639427,2.2392244412408164,2.0326948515534538,2.080455800835705,1.9368187850793543,1.2929420256841566,1.1290253207572405,0.8857386137787593,0.816070805288234,0.9290661812177331,0.9757992905252122,1.1289742241235223,1.6312414194341562,0.934801119059427,1.0449826542691378,1.0901649118868324,1.2646976789121966,0.9225595024758437,1.3749915092341876,1.57692198540495,1.7121517299962137,3.0023869796656895,3.927225026759131],[1.5145674192852083,1.1675676271317503,1.4621836591449207,0.9007670738544298,0.8600971951879902,0.8470456973796264,0.7382538184930884,0.8629155339719152,0.6926761006584141,0.6586294751305728,0.6837045838198853,0.8170715536084591,0.7430777473166563,0.6394699955530885,0.8687887002836536,0.8041887358067474,0.7361010881774473,0.7970730883366891,0.7981870723599593,0.8097263191257692,0.8198420406230564,0.9379585955334865,0.8665512155156939,0.842237795349078,0.8261001076787116,0.8084237723820891,0.7691820672209463,0.7247226746681712,0.7735108660777438,0.7852731043367764,0.8519736468015042,0.8947415275420503,0.9651808151912376,0.9369704681592866,0.8898548478966758,0.8219381938971568,0.8758320285660491,0.806916263552341,0.7880310168008265,0.7819995691932755,0.8206581426941814,0.8467550492664093,0.8572588661955715,0.8527819132631135,0.9567853192398151,1.1841031532193507,1.085306369196928,0.9500859832171611,1.2630334128495737,1.7303127505244797,1.1353725359779352,1.3055199597817284,1.1792649318962576,1.3050825052001016,1.983033710410898,1.1701829428057986,1.2003063280767885,1.0014384994094538,1.0651266797691288,1.1958514409506311,0.8929095858943394,0.8874116058251778,0.8819792047269367,1.0432985286921503,0.878141762282344,0.82766628429441,0.9925513192518136,0.9095357104954588,0.9279550746516985,0.9378843075115509,1.0997470852992806,1.3865594813286346,1.1800017270154433,1.1757950007157418,0.9506759322257118,1.3245290117461732,0.9005702770693211,0.9322572137967159,0.9015777890246066,0.8953902643014328,0.9820637982165363,1.0229692979748268,1.359643725542535,0.9757414502160652,0.8790012883877595,0.8957438630320653,0.8878303732647236,0.9716999364388625,0.830501173101557,0.9321061848462154,0.8946702212403586,1.0259067927397676,0.9468093580376382,0.9433191419438068,0.8934829259738017,0.9324763554146583,0.863498366168003,0.9342337806731134,0.9580959646981099,1.2451144180121183,1.039836308743779,1.2010409348648183,1.0213122848276333,1.1146017817740583,1.099839444277115,1.0768822364658286,1.402822268479888,1.1161560056052369,1.1226955551814595,1.2716242310292951,0.99949257411643,0.8580667271471031,0.7717185429758338,0.7441038910333576,0.6888839142854248,0.6624048404014642,0.7461618296206499,0.6359862296227078,0.7076367695939869,0.7399993055830006,0.6962854587991073,0.6568837562978447,0.6177204706195625,0.6140481646846185,0.6571286570157313,0.7219460936776626,0.8677590295104916,0.8503213201575622,0.9042623831533303,0.97247498681131,0.8894395736859402,0.9783273479321817,0.9134467550022448,1.0489012686162102,0.9244920763776165,0.9506885697858124,1.100322370037991,0.7823087365890244,0.7642553133316505,0.7059507075824095,0.7449839466984244,0.7368297200324327,0.6988731986733028,0.647496526748206,0.7121455408175975,0.7573065290744406,0.7089823459242942,0.8000082202197609,0.8195223032413633,0.8451399809420583,0.9805767056859049,0.9836965322785104,1.535152430947218,1.9076702851077754,1.329407772528206,1.193423353548787,0.9621995374852679,1.0622838181117296,0.921813760850375,1.047849240127338,0.8706873796381527,0.8488927621522809,0.7742680194072666,0.7985358096474491,0.8036924640340368,0.8857039597777574,0.882668348205693,0.9861763220192307,1.0846817357922656,1.0604642854059305,0.9152813537301403,0.7851270793066578,0.8189889579090087,0.884727123586338,0.8889207093116348,0.9584004199979861,0.927782603268951,1.1840573710137354,0.9375439102980743,0.9924299028385996,0.9520835038864081,0.9785922720061508,0.9864575404374663,0.9787392874962153,0.9477859717638775,0.9579119984936498,0.9313057589728501,0.9616127874148509,1.9743350199262597,1.9863923135574937,2.6554748225518905,1.2440806295954647,1.1255337477435963,1.1650146194749909,0.9588104133733518,0.9986877094223084,1.1252472077350952,0.9679782874379708,0.9563881353787725,0.9754568701559511,1.0869964691412743,1.189912363909295,1.0210793441176256,1.0208204309726396,1.1603320710775153,1.1159393207685153,1.1652294977387088,1.1052940290848718,1.2670974801625976,1.089823193685217,1.1956970574895756,1.197714729745973,1.1739760484961501,1.3469102656342367,1.4389671248050913,1.4273721729497226,1.4274516778976007,1.4184488731545277,1.25762919146879,1.2656570020964804,1.4330736016240688,2.3582276939239506,1.3979414501950003,1.8649867673987086,1.404916100529558,1.5026992206538832,1.6145561360724245,1.5758749228802282,1.3974475843250354,1.275075408154395,1.4742587806806455,1.2845320907053193,1.2501466186470644,1.2016470053120845,1.4345151434851668,1.114551906704289,1.1399188947254002,1.118817527222761,1.0184652954697657,1.1760045897448712,1.2894619586070097,1.4758928724121967,1.738514528981401,1.9644033928485176,1.9970695890711123,1.713477183993847,1.8054196631296695,2.1111602277427974,1.8433872769557456,1.6007049692473831,1.976786051196224,2.0464910982962268,1.6056217085149918,1.724156699574039,1.9764771846179514,1.7357729494231926,1.482624084921937,1.635385224765087,1.4653199865117457,1.5591693162334495,1.5449345162298052,1.516503498720083,1.4373925438372566,1.246941825461353,1.2845474687917895,1.246768435209939,1.2225182292993084,1.1332923198636276,1.1921613266730149,1.3406758823381233,1.2687422997196722,1.1351054557785634,1.2896950181929943,1.4801039955064275,1.4403781926259034,1.5382073232378901,1.736137306625582,1.9725020984027628,1.768283502785142,1.8387571106022162,1.3802642907125167,1.4428845589881856,2.094768616384043,1.93242296409158,2.000461528843991,1.8886432997061628,1.2525518948217527,1.1076402290875464,0.9377866805601065,0.9385240877317086,0.9811911766692583,1.105356399266333,1.270803073014937,1.855554219426618,1.07108384127476,1.1562975166567064,1.2778976218687574,1.4324611251200008,0.9819785614112057,1.4058329884089145,1.7015357525363228,1.641125798643994,2.973408626868528,3.7527256187199804],[1.2445901234344783,0.8591344343937568,1.1395025202582905,0.6477020321422159,0.6134283717067898,0.567527567547608,0.48153304587761453,0.6582922547148692,0.5154194191205239,0.5155643411786412,0.5909372367724648,0.7349012488219615,0.6431104472234758,0.5462870485843162,0.8211728391824691,0.7429957474623926,0.6588747052106542,0.7348585978527367,0.7341578973827693,0.7472056142985257,0.7607494474524051,0.8703842329908336,0.8195404583819442,0.7617249345748723,0.7360628073434039,0.7166789857011007,0.6706784750590271,0.6212665151623106,0.6992918177530685,0.7046974616824839,0.8073286014526134,0.8218704651146639,0.9029670419443664,0.88045067509759,0.8255749155585334,0.7557878825382401,0.7837039279045311,0.7112444123087411,0.6712581659600616,0.6635476207263259,0.7023814998905104,0.7585880500176663,0.7789520869432851,0.7509864749156473,0.8631499112859773,1.0783550732743108,0.9606085470685181,0.8322546370033527,1.1399483898431824,1.5909256200476007,1.036054616286955,1.2415447637296757,1.1097473590685254,1.2222340747499296,1.8979047590457494,1.1003925159607766,1.1558412047798672,0.9357925197389731,1.003496266928412,1.1692650568337262,0.8800214023189985,0.8537080201335375,0.8479554827802892,1.0199817981787336,0.8364491094052662,0.7806188325940018,0.9791700479372052,0.8879880664922645,0.8870332052218213,0.9169576937531553,1.0765833931379076,1.3690013838196695,1.1789759125429187,1.1520699796409335,0.920583176181415,1.2992814466434301,0.8587761536732043,0.8844235069620294,0.8460632591365029,0.8399389579660507,0.9067136099803251,0.9284333148605105,1.3368578018296442,0.8648708571605606,0.7434330355129938,0.7817788867037512,0.7943503504362699,0.896592365895111,0.7646928560637181,0.8769784802219998,0.8512290546374479,0.9898511725026659,0.9121558828668197,0.9021231741006303,0.8516352271421789,0.9100935184101869,0.8347682130329683,0.8793297231382546,0.8898241655807834,1.1603275395320114,0.9459636272084911,1.0661592534751767,0.9043345489163549,0.9575350286271964,0.9350562833543968,0.894103834728881,1.203570446868795,0.8626945889024975,0.857966519615381,1.0604522969942762,0.7456614165534708,0.6339142641574707,0.5499419795149217,0.5426212721102351,0.5313538201547383,0.5036516468145015,0.6342940496941444,0.5051987878621225,0.6114471443237615,0.6734777155425536,0.6170071147563007,0.56315405608258,0.47105107145833724,0.43090754669799164,0.45238323953139387,0.4947138904418031,0.6041655998956936,0.6046184870897678,0.6327373335894031,0.7361301519961988,0.620329934473007,0.7327876043337062,0.6627604023228755,0.8259189898693717,0.685943513153607,0.7008036367731485,0.8655606248816021,0.5486806065603214,0.5581736049546058,0.5025293454915067,0.5833754248148315,0.5850578355334516,0.5718030541974385,0.4894997790727586,0.5699638438358114,0.625324133869785,0.5512134286014541,0.6491188745627232,0.6404434248116484,0.6726968130520535,0.7898569194989622,0.8285814251256277,1.40673123326427,1.8608555346710391,1.251471430734449,1.079412844735009,0.8392452322548892,0.9079784119771223,0.7923640066864716,0.8693360724784828,0.6825161683189729,0.7070508981996485,0.5873223646969234,0.6314777716344929,0.6141780261502947,0.6674351521124584,0.6421678131888022,0.7305636488478963,0.8338500520311267,0.8193054639828767,0.6600985631748281,0.5546734775740586,0.6231145573729643,0.7029873148359684,0.7250337929830946,0.8110293753602176,0.8010574439727346,1.0759441110532568,0.8032748719973164,0.857210050824398,0.7801647475593038,0.7923779063841713,0.7885629530123791,0.7666875951974654,0.7328263158093535,0.7821430698747992,0.7989005085478121,0.8314425701590588,1.7924769096196218,1.8049892770775537,2.451123161871892,1.2011021358261866,0.9241283113863944,0.9836935640339158,0.740241149920559,0.7295229179606968,0.8676051615980732,0.6707444179979498,0.6626475302272358,0.7103406630603829,0.7715603274426431,0.9095218662998422,0.7260274354641312,0.7071007817172447,0.8359591509424215,0.7936423249255123,0.900248299455865,0.7985717086327512,0.9454121785347077,0.797447273846526,0.949704863444085,0.9110661118829951,0.8895360945074825,1.1641943777610462,1.2409958937868197,1.2376779283176316,1.2062995296065695,1.1772878978407872,0.9987181439613738,0.9680761917416135,1.1174879047090935,2.259937862650694,1.1404575417514822,1.6440654738000717,1.1290359805688022,1.2401489201048326,1.357389632897515,1.3261748913100315,1.111271987459183,0.9592890268257314,1.1943923513501957,0.9720031320127163,0.9340250179313966,0.8808628282793179,1.2017350294943903,0.7805483906030154,0.9038706836099916,0.8721519156737914,0.7185106776325135,0.8865431499159306,1.0274146812902774,1.2200895865168986,1.5150113396023879,1.7389818616457173,1.803186678832434,1.481673464679731,1.552814824844068,1.8927540923751134,1.6174566133253618,1.3299065485559567,1.7034398188730244,1.7796748690425557,1.311384509572552,1.4224048417620374,1.665884133814699,1.4209316545066943,1.1690617571084876,1.3247892048177565,1.1510923358300835,1.2423340007960306,1.233962125864634,1.2027963731892755,1.1084561865210296,0.9202919895819003,0.965818761644607,0.912687722917018,0.9057530801098497,0.8111909112209565,0.8624726919313713,1.0231939605423468,1.0040250770724308,0.8690096330452027,1.0156051440640024,1.2930660711936264,1.2730862958666653,1.401538939734048,1.584458117548024,1.8489128987252565,1.5842083722936326,1.6888874228573014,1.2000081492367418,1.3155402610029299,2.020263520888358,1.8293299066166915,1.885994361350039,1.8051573822671623,1.0783307800296915,0.9321732638557771,0.6683858249101354,0.634941433551314,0.714180264520918,0.8193270545917289,0.976817641254713,1.6300409683276584,0.7847594891516513,0.8538016891787924,0.9806662272303078,1.1909664914066609,0.7616709016604972,1.3448550897304232,1.6907267197100828,1.7641734886745626,3.0917348299797425,3.8092530500193837],[1.0326598135144456,0.7544302512638902,1.0199296452679785,0.6267062827720088,0.6324968582598246,0.523063570629921,0.36097294619297426,0.5434755389701519,0.42162760516052067,0.42200182774358863,0.5131250100724896,0.6099493191379126,0.5097643638276635,0.4782321291773428,0.7205538899177498,0.6074429707931382,0.5495944208927129,0.6390798823274626,0.6683026648897588,0.6539597376467817,0.6870063998337577,0.7889356096596913,0.7774341329721253,0.7337037085148931,0.6757718054594575,0.6626282914305743,0.5817468202671932,0.5377063743562454,0.5790363406034212,0.5649527409085224,0.6797783310752769,0.6500411989833421,0.7385884082286519,0.7158823874471019,0.6446914710694488,0.6158388894231366,0.6087351345790492,0.5744777469402209,0.5304572681817877,0.5233115489664802,0.5787169893838935,0.6484196548453213,0.6630426061722993,0.6078931236571768,0.8187105978236948,1.0534340002987639,0.8902058621668784,0.6602282111495477,1.001108532385127,1.4295892601885016,0.8455867310553697,1.124270198563841,0.9031582009591678,1.0056273450062743,1.689652245334159,0.8900272970852698,0.9707956696597508,0.8187925552161308,0.8563540877234244,1.1205994952429421,0.8006544028968223,0.7641595114482373,0.7314545208262598,0.9370866001660119,0.7481013323490969,0.6747910378846225,0.9017369842227527,0.7818740659888266,0.8383988952754591,0.8387710269524626,1.0224509506654074,1.3066532878629629,1.097228099353469,1.1025671251483184,0.8207095448451914,1.1804277577525975,0.7302210269244939,0.7223714023882533,0.6807708255940105,0.6815392538995242,0.7235908463136437,0.7548581776599983,1.269877553102299,0.6979309719880933,0.5880507827107377,0.6238628017392059,0.6387769415915024,0.7165182424023941,0.6148219904829885,0.7283306704964945,0.7190464407447575,0.8824144276282906,0.7911970071445733,0.7684121801900808,0.7264749334650618,0.7925210273152684,0.7321014010731862,0.7242474932189872,0.7206328590067289,0.9764775905209815,0.7575085450230479,0.8810674184890244,0.6837553063413295,0.7759956991267561,0.7652912898010731,0.7683740387806326,1.058035609688767,0.6922046462706585,0.6962290258369962,0.9339164861095656,0.6350430066962284,0.4902477438785349,0.40521710994436316,0.4248124011823083,0.4338214234499317,0.4355423754789898,0.5575488383878201,0.45765540717853165,0.5992982634950308,0.6187900821442858,0.5868718234030396,0.5277891323754471,0.4297751893385334,0.39149495079314267,0.39922621115614776,0.4297413122149223,0.4619322783141538,0.49073449091666355,0.5189828772595001,0.5983171065685597,0.5700380943560431,0.7092043332585996,0.5516466606835521,0.6848519478001851,0.5446551292738041,0.5356314266281811,0.6909620660881105,0.46028439282188677,0.46302436324522617,0.3841794656823021,0.5404106633235227,0.538239043433215,0.515630486827912,0.3960182760607909,0.45174747475136073,0.4944182262174266,0.42294626345657044,0.5051972269289716,0.47766993048787054,0.52483916947543,0.6419153018098329,0.6988262310690064,1.230677081955204,1.8587073829629617,1.2128323007782946,0.9009202712696994,0.6635040505478126,0.7378001455184132,0.6135363991960179,0.685729706191424,0.5163184216883046,0.5338893622452308,0.4411751050875549,0.4774543573100272,0.4780845236692889,0.5405167189301023,0.4920904153894581,0.6269170977020356,0.7285919858552793,0.7101858276179682,0.5118429176469164,0.4286677932165241,0.499963420248361,0.5212345885083233,0.5278500827932233,0.6208508863891697,0.6231027699853764,0.8982302681011277,0.6086148043884196,0.6815769222562158,0.5961489960723666,0.6186966438180652,0.6213301013455054,0.580227397192036,0.5534323112687177,0.5788349021004355,0.6291127282336483,0.6208655588396238,1.4884622937902472,1.7674480639106502,2.318421533080377,1.110271479214647,0.7688370087287907,0.9656280779171141,0.6952518154894002,0.5759720808643198,0.6110579209722897,0.5890241151715615,0.6433568175534464,0.7264142599905393,0.6450821368784251,0.7506874239875292,0.6451146131210671,0.6729293637485446,0.7107799917083395,0.700753872690238,0.8294192408808313,0.7563596139612685,0.8334520927322763,0.7539132263325306,0.9167680848088055,0.8580630128385163,0.8446170856812004,1.0457793515913276,1.1461534529317365,1.1786638743763531,1.0944213616188174,1.1806486315497104,0.9926371195368109,0.9025167982390492,0.8449461343868321,2.182844418365581,1.0603776649905972,1.5762172858965513,0.971487863089862,1.0230078716560773,1.1077679293173315,1.0514394019759747,0.9283025422451381,0.7895621919857614,0.9873759222967531,0.7806147343120676,0.8679069420292244,0.7740275110574292,1.0732248757914988,0.8006804123144706,0.9639775326795028,0.8813918117046072,0.7121045787358599,0.7071697255855576,0.8225285424178166,0.9971336430867629,1.2614558394243842,1.4633381864915305,1.5157377604845417,1.235898917101876,1.28466277476386,1.6205644514711597,1.375476879042678,1.1261585728041454,1.4920787104487896,1.60324019907194,1.1764199271696407,1.2473523131468496,1.4944074762066673,1.324337194367904,1.0489812507762755,1.1726048371699906,1.0189796608729964,1.0473001619655622,1.0118003122257244,0.9539758744643408,0.9385355262771189,0.7955065427140162,0.8159728708975298,0.7924923630480725,0.8349436290732088,0.7779014811848158,0.805843091037648,0.9856507053457946,1.0525814447705872,0.9524311265705436,1.0616071944397807,1.4180490454775647,1.4247134945944266,1.5491104548952566,1.745958238383721,1.9815878854109183,1.6630366517914048,1.757579465053927,1.2562612125695567,1.3211378095031832,2.068261446820927,1.950783921001199,2.0589557860163614,2.0330111702579274,1.2237099961951976,1.0314561137696427,0.6869978470444108,0.5475406352687457,0.6773780273313195,0.7077560665727827,0.8364716831809306,1.4950893128237503,0.705241765286619,0.7901300561383124,0.9020859358871851,1.0578412024327544,0.7521582688486558,1.3004285968511786,1.8746360076119848,1.9659961992274322,3.0884986292198757,3.6203591849694954],[1.101147474913125,0.6462524625348096,0.7486070422688507,0.43151457864268183,0.480755772852201,0.41245997192861067,0.2547443967761045,0.43190700896384465,0.3318174314748169,0.34705990405834863,0.4178753605895548,0.48753892428285484,0.40420726655886036,0.3888715621511772,0.5848210918351056,0.48009096311339117,0.46385347102184066,0.5278596518033738,0.5741278071329309,0.563684955631661,0.5894366020245432,0.6966561806598084,0.7001315213156537,0.6686851936699512,0.6078648570710404,0.5852005952991222,0.5082409012380016,0.45844083832707433,0.48136660189354197,0.4664463205550582,0.54444207316187,0.5294195915420217,0.5966286811443308,0.563965142151084,0.5137529558147008,0.49603887842628513,0.49345765402356695,0.47693640686393707,0.4467566538894104,0.43910538457195025,0.5309029221124776,0.5681338205999323,0.5697698477557097,0.5415722913418836,0.7825762769568169,1.0336903762257033,0.8636776301920696,0.6090739478528653,0.987580954573272,1.4094990253285313,0.7854067871917348,1.100737589212042,0.8624688144055854,0.94150600248825,1.5787397423256104,0.7977715494577836,0.8917346229753593,0.759361569515975,0.7663923672124817,1.109392951012033,0.7558307764868945,0.6723499080485582,0.6174361508491181,0.8430802307781103,0.6379933462421025,0.5665585293205329,0.8303524783150921,0.6929718777336391,0.7574721107271621,0.7398374304498233,0.9619770311445073,1.2279891131754117,0.989576947386457,0.9914100222073386,0.6847625436074604,1.0775194462101871,0.5981352490633824,0.5688751927446468,0.5449752837741793,0.5739533439115797,0.6086237328483012,0.6450555858817616,1.2250300398650604,0.5840639125026833,0.5057726626467308,0.5124218077937149,0.5346153729512048,0.6255601651072099,0.49755120178362156,0.5818012020243394,0.5739719562373786,0.7552759111517658,0.6224295291761245,0.5874776632590243,0.5659393833778499,0.6227489604289002,0.5854025645243285,0.576031184748952,0.5889750212944741,0.8656618193111798,0.625915419294788,0.7710434574873176,0.5642393438248954,0.6592917794661092,0.6468028400128342,0.6551499682951618,0.9373440889338583,0.5449221463381911,0.553296270475779,0.8581493058701786,0.4890160141989295,0.3666146400269304,0.3037677028777629,0.3452124005684115,0.3654456705936509,0.38579468572523784,0.5011931094869179,0.42652963381266046,0.5333842497841189,0.54357262887879,0.5257881098832036,0.4768251523984928,0.4098268486422266,0.34308635914370517,0.32898862029284015,0.3589271903703281,0.3872531432019064,0.3757813319459533,0.36635153447325036,0.47081183383041864,0.40208104491819624,0.5241364460797157,0.40304605048414377,0.5845064356988818,0.4483723090943466,0.48213445687385176,0.696670594178971,0.3810212010639994,0.4202443380240078,0.3488868013895263,0.5374999073654798,0.5332891373939562,0.48750272027131214,0.3608984701133374,0.3949564898824431,0.4267905265963715,0.35809983581009613,0.4190463388538449,0.381929091950647,0.43459267901857457,0.5323356535203962,0.6107471910965248,1.1172516422841705,1.8919894874046614,1.2070098750289653,0.7946789017995789,0.55432826688592,0.6197073780067966,0.5144693595129259,0.5739459855786109,0.42021540820062403,0.4573902753015639,0.3845602197862002,0.40824028799807016,0.41885471084842346,0.5429807820220295,0.4606544803949418,0.6068894642249496,0.7029627806507301,0.7051899606807184,0.47602660291308524,0.35766567998627163,0.40204862456070667,0.4287670745011893,0.4272575448159706,0.5157997484730762,0.5225325101756303,0.7926774648850148,0.5002704239958113,0.5707455139038752,0.511213455311539,0.5072068262871381,0.5087064136067596,0.4746712553784367,0.46366121789318737,0.49308251290886423,0.5594278581668398,0.5494103734977296,1.4883057496266188,1.8138146342404615,2.3886683592737388,1.063795932854831,0.7554324924093504,0.946150872353541,0.5922125491204494,0.45982681678808107,0.6109556586974858,0.40513491244758026,0.4431960793031098,0.5414224566589965,0.48087231091333843,0.633627172871278,0.4756713534070213,0.46337520283754463,0.5692956806433495,0.5785876449878522,0.670020362616475,0.5474306274592613,0.7422159056299861,0.5692033465303444,0.6689588661186043,0.6757934562186856,0.7231149050844204,0.8326719831603765,0.8623552863809774,0.8791067425642626,0.9265704864100481,0.9072726284437997,0.7354550617548744,0.6879700100073216,0.7680368355194629,2.075013649173586,0.9237228790659756,1.4022586139503859,0.821211424330594,0.8967515717171265,1.0087200756467858,0.9440756215632616,0.7925568101982821,0.6277899043139545,0.8561310070341362,0.6214067083932809,0.7103756160866592,0.5773342328365255,0.9427347996106544,0.6038023597517943,0.7755857256038299,0.7699210798694581,0.4972132815063287,0.5886268608774842,0.70821347562489,0.9142723393608134,1.196499465359431,1.3920789430439395,1.4543473346432445,1.1667357904752838,1.199784703414337,1.538187174502236,1.305396490515123,1.0619064616753875,1.4144800124439882,1.5313794138898114,1.1261965202237034,1.1809382654434242,1.4340123946640224,1.28123312157941,0.9916070650606588,1.1115349415593008,0.9217594950789018,0.956459943731551,0.9309489005789071,0.8499701183571162,0.8152215739938808,0.6499041222999056,0.6684135929390794,0.6115210902449061,0.6332708003571987,0.5618857708359113,0.5944020367741112,0.7871135939018216,0.8245959028927902,0.7228150854224922,0.8351202572999017,1.1784646764633833,1.1739607582744538,1.290164079873381,1.4811633553625767,1.7129694270937907,1.377615472531766,1.4180515032510248,0.9716385508517011,1.013681998946416,1.7083005478018654,1.62812711765724,1.7450984419436426,1.7732276136442833,1.0050681940476773,0.816018406264059,0.4908941642373443,0.43009223706046457,0.5050363028415645,0.5430811412761747,0.6940193259230584,1.4780331247109542,0.536136904014304,0.6191254801400183,0.7543575909050615,0.9753551156708661,0.6532215783079336,1.1610922738883231,1.842037540973182,2.1600312416464216,3.0368112929330557,3.667870277529085],[1.0808354977567949,0.6386058502448895,0.6527349556053951,0.48753502237235175,0.523109569818905,0.4392960334966466,0.2870331925552162,0.3984962318575087,0.3085451770904301,0.31917781880229745,0.3825907958954809,0.46508847704490186,0.3766478111088821,0.38495842220643,0.5864442323608823,0.4864630648941773,0.4819547645853151,0.5842795948185052,0.6644472943572431,0.6340753869579623,0.6782863887631065,0.7667374391990119,0.783968648595815,0.7693730196138928,0.6789725831156721,0.6696656677822321,0.554931325617741,0.48988897023828587,0.510439394154039,0.45998830818022873,0.5660359977273383,0.5173236260217854,0.5977154204433385,0.5823113364546846,0.510223210614931,0.5092991161642844,0.4804626196649329,0.4863452924128854,0.48372184783047967,0.462531139181983,0.5874352224850079,0.6352393633936573,0.6440530189553548,0.5926679760242799,0.8057531664232852,1.009926176886291,0.8644552074725892,0.6640275273776288,1.0139237502785328,1.3516275365288104,0.7639054179831914,1.0590283893809231,0.9046121091652926,0.9348886320306563,1.5495690257320576,0.8018492539782414,0.9153913762557765,0.7920529956046198,0.755895547537945,1.2149755576576449,0.8120325248717005,0.6814008654557038,0.6552175994548788,0.9495386885992967,0.7156697239127862,0.6098184616132187,0.9019207663309429,0.759560808221671,0.837821415625655,0.791979560492026,1.0160071573389018,1.2835041627419173,1.0310679183029947,1.082159375127075,0.7301224817218724,1.1460222605993915,0.6481565370273232,0.6209604283783831,0.5711667605747519,0.5883393856313038,0.5865894654516116,0.6145459109822019,1.203820638638646,0.5785577045077427,0.5327746145591582,0.49889024933713827,0.5427539403813376,0.6024475802726891,0.5184788706803451,0.5991032479416595,0.6177184235362438,0.791840303883553,0.6600762891041684,0.6156144523887986,0.585990359092255,0.6430095621138886,0.6017920655105786,0.5807146866672385,0.5755115002165754,0.8701487797827752,0.5936351088734351,0.7046604788695706,0.5294235913987665,0.6012364843103843,0.5707148538962065,0.5894644698314194,0.8286293545106935,0.4892061271988772,0.5014602732761831,0.8293739544218063,0.4326276139012808,0.3267731565551734,0.30132327967266914,0.3517072431577252,0.3491417644001991,0.3937558129047235,0.48493658865642847,0.4673004220428983,0.6021075158291556,0.5997523570113684,0.577397778302062,0.5082029036331087,0.45285533843801934,0.3583836485286951,0.353121195453571,0.37779652437382993,0.3883019317782148,0.373188317137355,0.33887896545045354,0.4234282399241371,0.39649209965355514,0.47016888464473316,0.3747556979533081,0.5273764193449604,0.4131628950757295,0.4583755993003136,0.6697940945463079,0.4015705554324889,0.4324226094776683,0.3872609254660683,0.618616013568101,0.6090083080825093,0.5341728129064731,0.3934174245868974,0.4188020752953563,0.4421372272315579,0.3548813788817399,0.39784329876216984,0.36577073672741267,0.40405321432303537,0.4868921457934245,0.5918511746933443,1.0764053230062915,2.006991225838043,1.3188766907697942,0.7768468510755625,0.5136459734534776,0.5614711548252582,0.48447875720146844,0.5060048992247649,0.3856984580338014,0.4315480767911575,0.3667785748261654,0.41001677251973245,0.40968956618986613,0.5466419263113637,0.4789213883444332,0.6367373461416447,0.7104663593309435,0.7293334883051303,0.4959270187651541,0.381796835510753,0.38984499703633774,0.40447871055845425,0.3971671656822793,0.4686429099015566,0.4886224443525665,0.7566644903875827,0.4653974694113112,0.5426547314087502,0.45371562640026486,0.43918948247620443,0.44430019310375063,0.42610601445662016,0.4274264154906001,0.4671078726619766,0.5199251326759172,0.5865811545977798,1.3075725594146006,1.8821741776676497,2.4400365434708653,1.105877102452968,0.7920232065277415,1.0036312202021667,0.6178235685165336,0.4563655031634143,0.5903823607732088,0.4411684124488349,0.49046800719370787,0.5544374586520263,0.4726754774946743,0.5919633772519948,0.4723252989227919,0.490931161126558,0.5490054413808443,0.5725892487025425,0.6792578725075308,0.5660993924674484,0.7235939047433483,0.5946456075775883,0.6811475646772056,0.6873043982497111,0.7373020607917925,0.8133203197415833,0.8481911052948273,0.8686252687182026,0.938059016448942,0.9307069651731228,0.7563041904059367,0.7076883402619311,0.7182196681677303,2.054825495941188,0.9610271495286528,1.3882044942769594,0.7980981103834525,0.8549783759176895,0.9503046875679863,0.877177433369843,0.7530333591871293,0.5944235879696657,0.7889578495742362,0.5864163576798672,0.7005899060007265,0.5557187945105116,0.940453921367863,0.6591352636623641,0.8331046871740354,0.8408261067872074,0.538831390705146,0.5622029459209918,0.6612967781436145,0.8570744216028786,1.1253445082744358,1.3110236035228113,1.3847461919448898,1.0863835473654169,1.1205574903487194,1.4583463546069195,1.2199835666560985,0.9986727091559101,1.3367140250128755,1.4496970452735183,1.0725460330145407,1.12286437487975,1.3667307335075491,1.229125917468642,0.962126176132363,1.0711538204531565,0.8907568139170257,0.9058062127970565,0.8745865793965186,0.7928455063728308,0.7734267407645264,0.628754257061147,0.6350576211177197,0.5981127595914602,0.6416657601900225,0.5855470067350079,0.6099348281890639,0.8115003527232709,0.8707591172660802,0.7804866063316934,0.8871913385321759,1.2336241921478928,1.2406572203962185,1.3426138161164483,1.5528769190556264,1.7606370113875303,1.3979179809107936,1.3992357649575575,0.9771024903108241,0.9704830325742703,1.6356134023833542,1.6057848458193307,1.7676626787939433,1.832978993854053,1.0648747969956514,0.8495898522712834,0.5311099735882296,0.44401976301996643,0.5181270476320441,0.5127847704399765,0.6689527801547721,1.4962171242413433,0.5179053877029932,0.6268612544873069,0.7676726299095127,0.9102811916938048,0.6965050423425568,1.1742083988014889,1.928110245165838,2.2734803670125414,3.122904621775424,3.914673727506201],[1.0295842228298564,0.592819230790046,0.4961771775498241,0.4263835988727906,0.4535260598356344,0.3896811597252909,0.2443295375714071,0.341667633394414,0.2814685998049379,0.2879816361450862,0.34749193735924466,0.43349182305115286,0.3440549297542446,0.3661970323806524,0.539588461724281,0.4546681015163413,0.4933886239569957,0.5850150974504605,0.6990826079979016,0.6541416314870792,0.7105089543667967,0.7936384088530113,0.8424891077000993,0.848201745017718,0.7353942715802068,0.7235151071263822,0.6047913805775168,0.5136511524526922,0.5085182324594324,0.44178779382043704,0.5424789102103551,0.4860833391255995,0.566896002168307,0.5468560431388526,0.4806716359700586,0.49858069915982384,0.46129813330965413,0.5112648440661459,0.5221175524913775,0.49632979175708664,0.6467230128574573,0.6884772455398063,0.7025700535696253,0.6356493382730167,0.8527141882586187,1.0464313203797735,0.9412908951509958,0.7214355488308531,1.06266159504763,1.3650906816197386,0.7744755472506016,1.0508376894684601,0.9597213788357514,0.9063160915468755,1.4935527722448358,0.8211582181454836,0.9065365328839001,0.8417860594706112,0.772137452642582,1.3218226449931547,0.8935697492793877,0.7106481948019833,0.6755757245948094,0.988335056876865,0.7704496303586863,0.645222731932427,0.9152466936701575,0.7518564906365731,0.8646837028389407,0.7887173373333642,0.988137297310315,1.2402791880128952,0.998556583454877,1.0959426747117806,0.7286019120719115,1.1694352932622556,0.6568613752663429,0.6003435996353494,0.5556897800736295,0.576685478292744,0.5579283297517327,0.6163964534498111,1.1645685504442254,0.5444446560264872,0.5597157754301371,0.508215233460597,0.5519996271466627,0.5608467564084554,0.5131534426603536,0.5697837238146841,0.5989237415929733,0.7771849867824243,0.6338697310039967,0.5788568508924379,0.5582081709306369,0.603986859385025,0.5760903004934114,0.5382574085325414,0.5295708263138301,0.8292045634932769,0.5326388472647626,0.627339055892254,0.46986593362433055,0.5189943384500539,0.48311132413670743,0.5143915623204868,0.7046695175740479,0.4152267467068892,0.42043988788859565,0.7845323142141617,0.35186853662577683,0.2847001893181578,0.2525719337162179,0.31988619941489044,0.3358829045175106,0.4115398036863128,0.47850750340882814,0.512503341823025,0.6748351500530129,0.6320259576513252,0.6109368392695673,0.5295129862340373,0.4770661236551605,0.337915499617392,0.29759791242764866,0.3357470185580208,0.3661373001758412,0.31417993204731287,0.2794683549526214,0.3798604668089134,0.35839765285122016,0.40545804653487094,0.35389750648528456,0.4908615290629639,0.4076269699992027,0.4662244701154267,0.6826670667689316,0.3909302697765912,0.3958297643705038,0.416054149903041,0.6694350378438895,0.6902292934946427,0.5838332954925441,0.4392343964426564,0.4591741376669489,0.4733299780005795,0.3784841722261105,0.40033976314232395,0.3395961451464399,0.36639294576996867,0.4497481456510517,0.5891061121165833,0.9994114447770401,2.0030648538452898,1.37486147372724,0.7217979887894149,0.45985176098095965,0.4955284211781377,0.4406608626120806,0.4476080361470238,0.36756792185639886,0.4382746246452692,0.4037155621744092,0.45587503376725835,0.4288798123948867,0.5780655136330135,0.5235864249662473,0.6994859669010358,0.7358041413319213,0.761997878872956,0.5232384986452004,0.3958589087199973,0.3811550379286305,0.38402482577411495,0.3742617462553936,0.4137227258384335,0.4487095326718185,0.7023669277767312,0.4415827706845462,0.49098646600846335,0.43397616724386684,0.3853357520783811,0.3918890268404865,0.3975692635912528,0.4378115134980105,0.48785450969965666,0.5266521681930358,0.6444763292674549,1.189149661485208,2.000433590700455,2.534822051833585,1.0861755667652373,0.8311724918983185,1.0827457862056353,0.6592418095405747,0.44720258257214934,0.5646669174284291,0.4093944926783206,0.44805413317533194,0.5261805135167668,0.39865756958538134,0.5305790648652174,0.41994775883562896,0.4128234272872318,0.4723827003216106,0.524142900241015,0.5958656214849625,0.4739729130324874,0.6916638799034294,0.5497755527743023,0.5878491636305065,0.653654790992624,0.7491174383815098,0.7452441848267461,0.7696911453744065,0.7496672302541211,0.8923760186498125,0.8209524100599739,0.6490225544385434,0.6222894997220183,0.6759957768306215,1.915519142682253,0.8916742600730566,1.3251090277947608,0.7377563108334,0.7633913043252276,0.8580530428672521,0.7786283652396129,0.6640169504908489,0.501603143872606,0.6816440978422087,0.5383667784309156,0.6921086976072682,0.4903763778842615,0.8800933309319142,0.6758999728522462,0.8057687862197974,0.8731712670036461,0.49932463884301437,0.5013870419252436,0.5758243776522368,0.7713226949756812,1.0266923533432712,1.218517479560579,1.29680714267178,0.9926572572829612,1.0349106792506537,1.3566402210948452,1.136164782419473,0.9372709438501606,1.2701778147966294,1.3969603211286423,1.0364054914052188,1.0748559029561193,1.3266296935192299,1.228657732894864,0.9400878637183167,1.0325645886831325,0.8429461736840372,0.8406419259237107,0.8096650790280505,0.709334662764863,0.7091107867754247,0.5679273073165706,0.5500947128291275,0.5265041812964465,0.5750516525972058,0.5145536091910017,0.5445523612441233,0.77370243861406,0.8004343263897561,0.736266340032183,0.8356596802462768,1.1710709725609538,1.1639758152872839,1.235605542158942,1.4721147586743064,1.646215168432604,1.2766175573826817,1.2093506691493767,0.8237530078992108,0.7610898517658067,1.3696139110478753,1.4059235249249888,1.6215617157061923,1.7515473543930469,1.0158843324442632,0.7543244079711878,0.47466281147689054,0.42007560578334296,0.46958722294987415,0.45317765961482526,0.6126667781577014,1.481807814694979,0.4806609545731988,0.608601814863814,0.7453744928269733,0.8569448407426992,0.7175270631974695,1.0928921042506856,1.9062743806697304,2.349102682287927,3.064599029880054,3.971820994294137],[1.0324266082502371,0.6095812495459079,0.6004150459906087,0.46592685511765874,0.5084110955315819,0.45959151840498247,0.3285863177640776,0.38345501686491407,0.3059971730285824,0.302012737581586,0.35083832785802915,0.4763907538628949,0.37334609709058314,0.37818567546535353,0.5942078548570328,0.5287766817288965,0.5428975182096898,0.694882606182772,0.8261520402380028,0.779128948715889,0.8578644716781952,0.9008942299094085,0.9646689641510487,0.9796070742211361,0.8348875252759055,0.8363298337363921,0.6881698094847029,0.5779091961135067,0.5932042122628003,0.5115811408706705,0.6467352172644442,0.5572311917699038,0.6812369746695545,0.666840285348979,0.5888917628933085,0.6052318071385133,0.5391469355697732,0.5951470613670469,0.6043196303457788,0.5708964085345473,0.7033918953244126,0.7886506611445353,0.817230294478174,0.7466883862007133,0.8896686163762518,1.016037985852498,0.9177502354082223,0.8241622261736096,1.0967451272377455,1.3378543081989716,0.8320006392896472,1.0948063922941322,1.0915950731515491,1.0348414316282082,1.5705928108884704,0.9257038582573279,1.0480505989030875,0.9059976582972895,0.8692628361388345,1.3100940034188224,1.007657574449648,0.8514562387503152,0.8296566630331268,1.1597143307784947,0.9138476368086472,0.7745206173138196,1.058833912761483,0.8925359025276478,0.9917185903393816,0.916218097551314,1.142267489899715,1.4383787699952297,1.1450864077305358,1.2401346231038863,0.8616505903940326,1.274648829837759,0.8001284298230874,0.7442531614063602,0.6936830072965766,0.7050496440854814,0.6571292428171309,0.6948552988595731,1.2678675532916763,0.6551912675397564,0.6279797394472034,0.585648168238159,0.6468723889666163,0.6483951410109811,0.6261799988941489,0.68076046861767,0.7271058880714348,0.8787389581905931,0.7507951092109806,0.6882339356621743,0.6444691677413313,0.6931458258725345,0.6237716109323346,0.6180493346981963,0.592636998451722,0.9463820819760634,0.6163934276227772,0.7050614698460217,0.5564929746328947,0.5780369872644918,0.5462121653399401,0.5585001622398512,0.7438466110710272,0.44712922090019236,0.45182083378168814,0.7620335396728498,0.3912295438065345,0.34557215484696363,0.32553534560854414,0.353964236626408,0.3608820086431262,0.42872806658814994,0.509043896785553,0.5466517722691385,0.7105004546427662,0.6839965596421902,0.6469296629798509,0.5644943267958321,0.498574293449771,0.34297197669096596,0.31513712156473345,0.3329225087347213,0.4183439824137493,0.3479314570018057,0.3303435216158606,0.39403960724843257,0.3583138756537247,0.40973796759212483,0.36756221916397724,0.5439577708271718,0.422854045118919,0.4493187080574239,0.669754567195887,0.39187450169574345,0.4048439928311776,0.4196230667473617,0.6802294239376192,0.7397540328700927,0.630137397155607,0.4762084370802645,0.5003393634620064,0.5064397538797276,0.4000367406064932,0.41479246684736065,0.37231700605248413,0.37916209411014984,0.4827004637329284,0.6336265261369036,1.04634598774157,2.0514406724953793,1.4295754482002767,0.7971659227002658,0.5285825480036801,0.5518913106653252,0.5032982116909726,0.47826551676292745,0.4038460036017198,0.46508832757234553,0.4257667450949851,0.48133676671290854,0.4576397577168808,0.5545711541146039,0.5092095410521567,0.6321443234989339,0.6704850168655738,0.7195148196222386,0.5052944082770945,0.4019116331447975,0.38873186451365915,0.4055767790582483,0.42528421765240754,0.49222873042624155,0.5011616923609846,0.7650231328458389,0.5079182181385302,0.5821037636066494,0.46694654236664224,0.4248405712240947,0.42190972564720675,0.4124055301536309,0.44938938622653374,0.5375588139273748,0.5621193046437498,0.7320421922507349,1.1239893237538754,1.854021324399269,2.466038426556154,1.24692365386215,0.8054418993410422,1.033116926033728,0.6534665512061394,0.4512562457564448,0.6051173697907154,0.4001401963315038,0.4444547615347129,0.553305672370697,0.46643999177748313,0.583186387890314,0.45989329968263143,0.4661111890159605,0.5440268426094866,0.5584385174159873,0.657535769785115,0.5441553283592596,0.6913687665347074,0.5928919955356046,0.6702455647788051,0.6777039102418572,0.7219813697604927,0.8230987892705939,0.8426863022449866,0.8260173181125625,0.9399403728281143,0.8583820198472734,0.7166097393260963,0.6760125085024987,0.7195365565569657,2.083417690407997,0.9601387592053368,1.3877591234653583,0.8212385725349485,0.872703170916951,0.9460444778609444,0.9305615327322087,0.7448581008682673,0.5785273313865028,0.7620851793832468,0.5930827349955858,0.6678731522699902,0.5117759828496753,0.9626872139979145,0.597034133583347,0.7567312565768699,0.8415576742743204,0.5120717286573575,0.5587669597973837,0.6945025847032016,0.8558672585452625,1.1237309089330823,1.2874225473404268,1.368356345724986,1.0494911769726853,1.0705165701863295,1.4138582312207635,1.1367926763417149,0.9319226174594775,1.221724953081002,1.298882309530911,0.9590389979242614,1.0226658585423354,1.2210784504376209,1.0722175823125422,0.8974726744859034,0.9954836421696964,0.8455468023258514,0.8651263435783714,0.8312762639753176,0.7762587846251154,0.7467506839128115,0.6197097844585104,0.6419265183361876,0.5875710255771587,0.6262063000538399,0.5631697067241278,0.5862216904564387,0.7562790074736766,0.810144992113896,0.7140653434781205,0.8047450999644611,1.1353982264030238,1.1322106232382965,1.2296471819700618,1.450649625661624,1.6594795780523823,1.2745363143337605,1.249709406283159,0.8865306935223658,0.8883326386039575,1.440634127055769,1.4186151855451943,1.5821256424972492,1.6847953405071936,1.0084670198623278,0.7894312818847976,0.48155976986583726,0.43022195464546475,0.480986494124593,0.4661594617375921,0.6161689294842643,1.4492598705491375,0.4865551407667031,0.612225873735119,0.8015949284424835,0.7637202559488521,0.7415896426748588,1.3110081610953763,2.1004822137889345,2.460364183028011,3.3654391637474372,4.471601001918282],[1.0248571659371386,0.6261368577463813,0.4922678926516419,0.4934959545518723,0.4617165996048464,0.41782838839337016,0.31259728078233573,0.34016454379951955,0.2834439396098378,0.2800146931726977,0.3208065047816744,0.43554229560283503,0.34060386065878273,0.3716063253244371,0.5272597366312693,0.48136584165719537,0.552370056646217,0.6957509203060663,0.8510816053262014,0.7953053463907522,0.8834362027969362,0.9368654643749896,1.0179218231675173,1.049704644816824,0.9099409662124213,0.8987414093469301,0.7535109904943096,0.6213306604103501,0.597709260241383,0.4936737786718176,0.6071218057527735,0.49867360639669606,0.6395063104089483,0.6207052696051737,0.5502226874379716,0.5885442803807602,0.5083916263335223,0.621063803825214,0.6626795619563242,0.6279631996069444,0.7904417883512481,0.8462990972961668,0.8736428276353819,0.8031421555613883,0.998326162562248,1.1591201771859483,1.0746541186232959,0.8850900228405537,1.1831476023154817,1.4236702196675544,0.8841464343207459,1.0774910296540037,1.1584588395651045,0.9770952084408911,1.4873817921269283,0.9567669421575942,1.0104381439814785,0.963404177141726,0.8844307534493967,1.4347965421321087,1.03171329681921,0.8453361006945539,0.8024096041776955,1.1465328966474426,0.9482476537658702,0.791511478563837,1.0269085026590647,0.8778454579632663,1.0157948417228773,0.8990937992321119,1.107616225619429,1.3224092518301631,1.0884990534467103,1.2505754976925685,0.8344813575599882,1.2542774749165555,0.77987536317598,0.7188547090341975,0.6671211147920871,0.6669930660290945,0.6335321388853016,0.7024328453262342,1.2111018805465268,0.5953381536363886,0.6837889196500196,0.5935757978108139,0.6550796547187974,0.6159476843775628,0.6200538193175537,0.6306806061603745,0.6981939859690146,0.8697112141706568,0.7172213853227145,0.644217059104476,0.6001035028824998,0.66315809055166,0.5941022267545977,0.568282616259355,0.5403358248553712,0.8503149412166966,0.5405114363331982,0.6259971899926241,0.4662555792283097,0.4999431311910513,0.47447671531039914,0.49150683131874173,0.6530632291599126,0.4071794539290126,0.409349924613708,0.7491546993592765,0.34126401959001834,0.3353869962722861,0.3302822812436239,0.369334964731299,0.3903012126553197,0.49429061071831143,0.5586952964530444,0.6344889458132629,0.7950845259505338,0.7119289582018486,0.6993184290320706,0.6125109142712332,0.5677687795060454,0.4074484335325228,0.3325401618757417,0.3825567390024721,0.44241599101318524,0.3646133949284742,0.33592264501776914,0.4080601784016494,0.3989851464255003,0.417988246091446,0.42610632637107854,0.5247549799327887,0.48288623319175183,0.5368559677164766,0.7540325602615134,0.46874179748489203,0.4644186250688513,0.5216696175471762,0.7907306319710544,0.8498569146701642,0.7031524899077417,0.5625303045765547,0.5737594022345889,0.5668721213680177,0.4686271819264452,0.42641549940169055,0.3562847259114791,0.3763817099714029,0.46282187271187836,0.6218419052234622,0.9607674899224923,2.0088681199589833,1.4397277902681467,0.7270929914606381,0.46335978640709136,0.48457335814845975,0.4331277404495082,0.4288321025980981,0.3970539015005089,0.48878771857892256,0.5012805799200601,0.5619668438423008,0.5263128104705947,0.6712458093203264,0.626464548221015,0.8027167147357173,0.8070213532494382,0.8325305607780702,0.6140836090338962,0.4913666910906493,0.4442778768520687,0.42923401716666865,0.43704055822317245,0.4500444263982923,0.4671027469860987,0.6744426420080802,0.4962868136381301,0.4913260891787181,0.4792435613127968,0.3970557973395387,0.42206594657280283,0.47202198127462075,0.5001129858820291,0.5636843709558464,0.5805586764157233,0.7778136253374527,1.124815221519619,2.062038903137199,2.6045034834892724,1.1720874806077364,0.9228790184896236,1.1654858435858881,0.7464320483518201,0.5139409063014396,0.6298709023462283,0.4510042352994055,0.46486104004130824,0.5664208521701226,0.432939734994892,0.5589974865821101,0.451415642582963,0.4221494162364741,0.4920613544184047,0.5499298542940722,0.5846317771587332,0.48344321255538386,0.7052558833592396,0.5763333315363396,0.5946172951141989,0.6718139532687903,0.7722362932019914,0.767676359513178,0.7809694278531351,0.7373770700970839,0.9143134118361809,0.7841702858959314,0.6247222142483337,0.618624570552963,0.676948838384007,1.8999488786370646,0.8917679406832189,1.318206438735186,0.755594629651752,0.7631568797924762,0.8668998809182314,0.8083548220534349,0.6699095425824508,0.5206963751957324,0.7003834741560068,0.5790108217084974,0.6987964706609819,0.5132963965298636,0.9126324971892277,0.6907577042763746,0.7840127209211568,0.8889526722871067,0.5045963246769233,0.5523395351988664,0.6217303214421017,0.7969425906957137,1.0455618440963403,1.2065797857910654,1.301289184961081,0.992810736599233,1.0174199414672729,1.3372655918588945,1.1074611094255509,0.9241716204447118,1.2311855710407609,1.3477997331815519,1.0169589390155498,1.055817431335956,1.2901431426521275,1.2023905744057917,0.9428901847956663,1.0282911151601095,0.845517769914094,0.8438884917833234,0.8081945728897498,0.7152360940984028,0.7203276365068738,0.5849947738505977,0.5577615406903847,0.5273418239305501,0.5730734884349837,0.5063496359966083,0.5245424868022633,0.7612442323083872,0.763194276705438,0.7068448221696702,0.7978502888465578,1.1219991260380475,1.0982173121486758,1.1570565972450624,1.4185400716113437,1.573690586846748,1.204228690996794,1.0994079494750968,0.7518916095389777,0.6831515201334003,1.2032697598974071,1.2543976573270583,1.4875623594791005,1.6538983007839434,0.97110887633005,0.7081745974911956,0.4721007551981978,0.4582964234104346,0.4971697598025141,0.4698918882069601,0.6305759430625412,1.4797690629873985,0.5060288358423737,0.6474378658295605,0.783306297382286,0.8320129343167784,0.7782018920064027,1.1318574445057206,1.9714967803932344,2.426852041132165,3.1730367996062894,4.202032936445723],[1.0399057454649137,0.6322121236322987,0.5160885320718075,0.5306078120162191,0.47958462542764635,0.4244144765899319,0.34978445589268625,0.39517502208592714,0.35973120725183383,0.3716986892018319,0.4173979955587949,0.5314766735178641,0.4573681971059835,0.4566454318929888,0.6111056407767927,0.5958609715484955,0.6423236591532033,0.7987205650790383,0.9964155609052778,0.9400085040230349,1.0483298084803618,1.0776535856839178,1.1854326440402412,1.214903715747187,1.0596410793036328,1.0433067456316603,0.8650506859824979,0.723198384131761,0.7131590224197806,0.615120009415053,0.7279783194467794,0.640045761439408,0.7702538433709525,0.7868993178712828,0.6932753117005612,0.7219265808333586,0.6393375010957792,0.7422162104446743,0.7666106762804538,0.7462384412874826,0.8939512495381171,0.969628743857251,1.0080737521435899,0.921381110566927,1.0799643247613084,1.1935343972537342,1.1511874753223938,1.0069479169403046,1.239238618603547,1.4079062053343574,0.9808760906494401,1.1812194473871014,1.3332487094446543,1.1049067738530784,1.538068462356767,1.0803134607600124,1.127716306794202,1.1112268705515789,1.0301071041965257,1.5147735685413368,1.2033957889468998,1.0198581503880324,0.9910837728669813,1.335378778049908,1.1410204917987292,0.9632006892142185,1.219000608729442,1.033733237828696,1.1493797966033608,1.0266266150473586,1.2449879042806868,1.461872132115953,1.2104031918565448,1.3975944892154188,1.0114136845699322,1.4042837303395557,0.9824795809299713,0.9279145420293059,0.8746857321616464,0.8569296358789716,0.7792012403365114,0.8362891960938379,1.2811938619585215,0.7211848680724362,0.7981999612031747,0.7003975515534362,0.7882579152911152,0.7405820775683629,0.7866275294533637,0.8245929123467417,0.8977340989957374,1.0601557476764691,0.8905197076081148,0.8147093587385433,0.7377377247503067,0.807975819404619,0.6901448892821259,0.6945326059458108,0.6409797449191956,0.9651846212893412,0.6491047039408195,0.7001214486308257,0.5957702226163717,0.5514076651075932,0.5075279108490216,0.5191472776461509,0.6521785518127998,0.44540106378213506,0.4325832570813718,0.7593576392001521,0.3694047253982126,0.3815690257846548,0.3847841145968738,0.38875567430203617,0.42826847303095705,0.5271734757218426,0.6275850699072755,0.7138672267798817,0.8947775075264085,0.8114068265510483,0.7691035855203413,0.6500839208516558,0.6125157756459271,0.44053666808113057,0.35046280180647094,0.4149471340732196,0.4725199149943548,0.4004489124140498,0.3696986645059189,0.41991015512384283,0.41179973392032904,0.4188456484430928,0.44717304280424336,0.5468632994382432,0.5090465296165901,0.5474994450346672,0.7519865232858142,0.5081000127717373,0.5151496351416148,0.5840617740147305,0.8667935365959246,0.9641637951557078,0.7997769441482264,0.6307225174613909,0.6657210800987439,0.647356648351105,0.5312058849589546,0.48819892255591407,0.43018300273150883,0.42836839047772746,0.4974971493645262,0.6479818668270946,0.9742857363744644,2.021038489765633,1.4744158406201437,0.7975058603756248,0.5570966937493846,0.5467167563944868,0.5252685240572674,0.48219270845400825,0.4563281768096921,0.5664866996658493,0.5712245455295648,0.6419785756313053,0.5958035542283519,0.711035412370608,0.6670542467357765,0.8212583467259055,0.8005965840437542,0.8361411186281107,0.630304022681386,0.5339255946474811,0.49922858016034416,0.5028009864003516,0.5169161123506374,0.5440758930320446,0.5726672684727474,0.7930493595627084,0.6079313880414992,0.6436085031187837,0.5624102547324278,0.448988794033795,0.4636058361064408,0.5037004687873016,0.5546044572954495,0.6586289430033335,0.6703339828497922,0.9112956807129996,1.083186960299575,2.061757369623693,2.6122891820984058,1.2111006097524666,0.9406730804393328,1.1736297289910955,0.7584664765282304,0.5455832753214477,0.6542402022334232,0.4526883592831575,0.4848703154165315,0.5821955596788985,0.4517190373717472,0.5632360042582247,0.46348138980632786,0.44363455111074346,0.49972424494688994,0.5430720845220872,0.6081840543893159,0.5035491164378604,0.6854618620582296,0.5713383575728909,0.607250854762757,0.6603551663871285,0.7366934634678933,0.7711396049023519,0.7928614366879223,0.7535893478170755,0.920169205473247,0.7994325171143393,0.6467007662614139,0.627507028266694,0.689718221790779,1.9399428425365355,0.9141706927511503,1.3192053094539766,0.7550150825717314,0.7747535048975086,0.8607932694197336,0.8305895965006904,0.682660570964827,0.5312184586380411,0.7072900306571975,0.5810470871134689,0.6864337920209992,0.5156670083961917,0.9442634321851433,0.6911812707461534,0.8038708264382458,0.917300890881158,0.5246336247190131,0.560075554764937,0.6513282738873165,0.8079461332586928,1.0558988364872623,1.2206916701470656,1.2898067953161167,0.9803590069992539,0.9986619742449535,1.329851182504706,1.075995023950197,0.8999991551621936,1.189837383903516,1.2883393235175917,0.9668526669966518,1.0115395350177723,1.2263284870018487,1.1248767065487704,0.9040876511264996,0.9937905096023615,0.8261316298094922,0.8248078251831776,0.7889945427550525,0.7099437875294182,0.7055006031615557,0.5819388736631945,0.5690795321035774,0.5312273146332775,0.578217917125348,0.5114009773098935,0.5325891666596232,0.7559333934764422,0.772562593605722,0.7173717849362429,0.8055797531246266,1.1355017644745176,1.1078470619634977,1.1667360158058597,1.426822745411177,1.5783782871333512,1.204071920162192,1.1061350909931078,0.7719004329278208,0.7120790749581442,1.202394375464134,1.2392696744392542,1.4653981714123379,1.628680161061208,0.9744506732834218,0.7147676358637932,0.48971838656230726,0.4807457456701176,0.5141229958624722,0.47185268293788163,0.61532537089075,1.4722954580831364,0.5040420840898476,0.6124440592701332,0.7744162596247292,0.7873472423641616,0.7541345276769339,1.1610612451919198,2.014699441099385,2.449886817860712,3.269718587219719,4.366590222560922],[1.0546647072817603,0.6614996597503088,0.5961199194934261,0.5099458136900956,0.5113131272921709,0.46943192547120866,0.36337233126144686,0.41060349878399766,0.35076971931129824,0.3555076007862753,0.3750830437624836,0.4786813196722071,0.4059768972799952,0.42333083225999163,0.5794445397938821,0.5549178592902387,0.6046825324247629,0.767012542267666,0.9692857887319029,0.898795150560038,1.0190774390301882,1.0484319003246168,1.1507040373836146,1.184042363566673,1.0242533384970312,1.0111842696230728,0.8148070465781,0.6791224146005974,0.6650901594138875,0.5622933074091206,0.6851184625459588,0.6035312879287644,0.7191085165249792,0.7289692163489162,0.6426759797069532,0.6671329715823419,0.59958398712759,0.6782718170620734,0.7122613075470325,0.6845601998123494,0.8268889061821323,0.9139136750577812,0.9557918755967297,0.8645890734185393,1.0184349855749795,1.1353760468968157,1.0677323331278763,0.9451209213632825,1.1802720868290442,1.352792097978987,0.8955960918617097,1.1475294464436259,1.247929904501426,1.0742218868033817,1.5185656870916535,1.0203748574761355,1.1011284857126582,1.0333534885004059,0.9756731617498675,1.4697980756370526,1.1811858042041472,1.0060106558357753,0.971486680221657,1.3588116998538189,1.1204939166195496,0.9275142055671673,1.1903403918670568,1.0056932174961402,1.1357383299520425,1.0015881058588423,1.222097550249266,1.505209216836876,1.2096649785244844,1.399772614580588,0.9805953375420723,1.3977991415990751,0.9454805819064138,0.8832672872102486,0.8100526911222031,0.8017375461118229,0.7225031710964213,0.7623973293670439,1.278587293350077,0.7045800103359732,0.7214887153776051,0.6457266307251021,0.7291778228226197,0.6915081911628549,0.7194816062342162,0.7611722160482844,0.8372491339425423,0.9906389723261217,0.8306178553519671,0.7452403882812145,0.679961264193648,0.723180396694792,0.6430810621105403,0.6539537958957068,0.6120600049259005,0.952795595834791,0.6208433859419246,0.6822212477733146,0.558135598146196,0.571241318829971,0.5370614250019441,0.5391597336485989,0.7044554249525551,0.4452101660018615,0.43530144923053055,0.7686733305206935,0.38256538444101484,0.36458356274175674,0.3677846459149553,0.3926534414469068,0.4105469629625011,0.5073505615850245,0.5917841044907023,0.6864729979050695,0.8708061773268396,0.7846087646129779,0.7485759598250443,0.6381426142002301,0.5891350124303074,0.42427602362501016,0.35842779691340465,0.4005093451661627,0.4480355571852186,0.3927888644118766,0.3543035297106367,0.41731883901065725,0.40473106942002085,0.4317056691444259,0.4092292680415744,0.5338289999241427,0.46999254942598223,0.5061178107965761,0.7277088181423111,0.46165353211173715,0.47523873366203245,0.5479521987869116,0.8377416754366813,0.924325734779539,0.7693759731680417,0.5938020186753079,0.6164096556925798,0.5968633536109642,0.48700983277375187,0.44789709500201835,0.41140467365272715,0.40112547161696704,0.4877361678418551,0.6338069175598132,1.0474822118658378,2.048863138588191,1.4255501395704095,0.7959239085917931,0.5212929425935291,0.5400500092471084,0.49344348542900524,0.46675509440437557,0.4332162155467359,0.505804901450942,0.5286366281193954,0.5865615967582317,0.5508417908290092,0.6761181108035579,0.6272707939731822,0.7761301340761632,0.7766179502282352,0.8152273806753207,0.602966614716546,0.49335319165859604,0.4641696070786191,0.4620499893728732,0.47357092089461233,0.5123809454093484,0.5293937076750952,0.7877410240859811,0.5508207983928525,0.6084726599837512,0.5170798803312795,0.44963345130404964,0.4543492326267143,0.4738080168767812,0.5280301408174857,0.61941331837276,0.6318441960206276,0.8582480957029279,1.0895404295321236,1.9820171053087825,2.5563222538906274,1.2011798241914808,0.8912830967976112,1.1202015619922607,0.7164508618188837,0.5097067073693493,0.6251265434419215,0.4493108499037819,0.48731383814653867,0.5826112423707452,0.4746132121785561,0.5924623564905268,0.47939769026831863,0.4886857616667363,0.5536310860217363,0.5845129972084244,0.6624086072878045,0.5580222176932873,0.7335691789591045,0.6068766543189947,0.665142873318613,0.7080075794790693,0.7659625339347195,0.7958132274950865,0.841610303392047,0.8169996189005985,0.9665271640253689,0.8982539354831174,0.729513956232145,0.7052286245106149,0.7385900197006865,1.9978753346560043,0.9449018856848442,1.4206363422730377,0.844135922212144,0.8864230129177422,0.9560697842980976,0.8996664679490284,0.7599374053749793,0.58351160914335,0.7314285835534338,0.568182578861067,0.6957890785613131,0.5212690651292048,0.9510832258064351,0.686086394344071,0.8281189372419222,0.8871292923065717,0.5471179135268042,0.5785464069755941,0.6627640752750888,0.8344474136190381,1.0994646435968467,1.2891828076417056,1.3578854506005544,1.038759882587694,1.0964568818372031,1.4311248737862292,1.159618057852973,0.9693045671872589,1.282786239459853,1.369367888360061,1.0223666940144802,1.0920701942536042,1.3129074090470128,1.1690426530869404,0.9667962901615964,1.0731549219989793,0.9039861357490893,0.9117096844524216,0.8683668860001021,0.8045190046325847,0.783874571559365,0.6486050191387082,0.6508132785776611,0.6160561998101869,0.6568430251640992,0.5878946570038863,0.6109811859112215,0.816847566236104,0.8421764155227833,0.7583191302440887,0.86418421729519,1.1957656732293358,1.1871971978077307,1.2584408928388506,1.4979698446939196,1.6530089540418227,1.3309914053899365,1.2522684787317235,0.8818247134663062,0.8366948065224736,1.380959886745056,1.405291054738713,1.6139129247159245,1.7281799311661388,1.0397079695626084,0.7827448372171008,0.5091012576612013,0.4803794656040331,0.5087047816617463,0.4888013015844852,0.6476068912718576,1.4873045393819946,0.5156896493144767,0.6435128815410582,0.812528692892447,0.8225018654670109,0.7623935441497728,1.2669571127813883,2.0614787256536022,2.37783810811428,3.304435885136242,4.279027818889268],[1.0667428532295067,0.6568201003499062,0.5817397104075259,0.47472746115468845,0.4845571167695885,0.428664766051218,0.30101516110021487,0.37683513506052113,0.29405489119799594,0.27804087572053343,0.313740297009318,0.4209359779312795,0.3328503423499201,0.35938612455315855,0.5347306955475342,0.48724028504580275,0.5361517082051743,0.6910891638367902,0.8650475400662538,0.7999824421653982,0.9060238057134773,0.9519634084339138,1.0441484883957701,1.0736017521409082,0.9113518479444516,0.9019383139707016,0.7317953007840573,0.5997492829540683,0.585371391308325,0.48433742522188505,0.6183115620930159,0.5300790253065125,0.6503215657881303,0.6441963646114605,0.5595560239440354,0.5884567876418911,0.5082579876033227,0.599385006694236,0.6249321374899561,0.5925513639066721,0.7501858676284073,0.8305719219761217,0.8561014205351468,0.7708567575695118,0.9630813794458088,1.1043287052631154,1.0234791387745195,0.8513309977544542,1.1205141832079701,1.3590045147811547,0.8249335908450928,1.0823325409821805,1.1193034230398307,0.9723993446804039,1.4927212443176328,0.9249665249895398,1.006925923828123,0.9383936981920327,0.8847728914580169,1.420779195224855,1.06053230568485,0.8905732945500991,0.8601990748276612,1.2252558155884843,0.9922266841699904,0.8094402081178131,1.089156430509427,0.9162959280608696,1.0554787522474902,0.9266203153618445,1.1492034511678606,1.4100655574051528,1.1375160300306584,1.3096127560390478,0.8836229694661455,1.3205165015742089,0.8357381071479851,0.769053675682688,0.7020943254045877,0.6993984875072231,0.6326732329536269,0.6856841083495382,1.2355123313211656,0.6007497751767057,0.6412547467277385,0.5684851155550585,0.6416759212555708,0.6107814329025558,0.6307700230359248,0.6713419258970322,0.7409569031898343,0.9059189356725503,0.7543545363999018,0.6701907399672449,0.6155589300385753,0.6729068311242021,0.5992224996172097,0.5891222019562755,0.5597764771055277,0.9148446221562416,0.567854882375812,0.6567104605176335,0.5048683392460271,0.5375166612861513,0.5004988147943926,0.5226722932893749,0.714660095516267,0.4292119081962512,0.4506370461250234,0.7780019958334603,0.3820240839624109,0.3125700792419797,0.30711821981542675,0.35275475385264776,0.35701904766747655,0.4513425420684893,0.5269366539829907,0.6163274902229956,0.8030225691414778,0.7169332779760946,0.6932380953444753,0.5800356551194209,0.5315297234553334,0.37863104179302065,0.3277448266532512,0.36991826321529175,0.4117532190434585,0.3408853403102751,0.323390641540093,0.3886462487645011,0.38535115931991615,0.41765848567754943,0.3748914218316044,0.49742100877251993,0.4305940526825937,0.484590829380551,0.7207130487677743,0.4328930714076013,0.43854403402490016,0.4873915862275422,0.7770437320572017,0.842173030040087,0.688533204968834,0.53075690789386,0.5363605266566404,0.5303596348802423,0.42309186482873345,0.39566467817699347,0.34720608968404704,0.36226766553266376,0.45905389401162794,0.6039291712180572,1.0358309267211068,2.059263009325532,1.4139936565056344,0.76901651853296,0.4793652637795385,0.5059660034371779,0.4508636903469287,0.4405565376857931,0.3811573553940712,0.4502757167599806,0.4547740720456554,0.5103864918487583,0.4834171064706897,0.6393962619725055,0.5872285413073991,0.7621567617097202,0.7791805486532288,0.8001855487820231,0.5717572030956739,0.4459068891520095,0.40537055618934076,0.396424084617903,0.40467368476980137,0.4454135420176821,0.4764847785059556,0.7313920032711263,0.4769671048079944,0.5272278169349599,0.4555670392610353,0.39179824370919053,0.3979490428178008,0.4174473935593791,0.46308006223572795,0.5378649451147999,0.5687735966465189,0.752850251010879,1.1158385230105023,2.0027964780802927,2.554935748752878,1.1300383059256331,0.8765404992856126,1.1234963962637006,0.6977524674475739,0.4791935965437539,0.5959070351792706,0.43743287751183346,0.47577088459708794,0.5675520294396029,0.45135065861186374,0.5810895201716796,0.46444835844219734,0.4711046388793453,0.5411899700054269,0.5772629856046857,0.6446922696417025,0.5503878131823079,0.7456211686710454,0.6049392965707614,0.663200073724244,0.7224451265677097,0.7915655729237903,0.7982716191680114,0.8439813630822697,0.8097905175451281,0.9698848268432313,0.8917920512105646,0.725266487802675,0.7013422377621514,0.7421997012502655,1.9355103564438796,0.9100073074579601,1.4142277821670095,0.82274806427329,0.8456581827859078,0.9286594926335088,0.8631063293304264,0.7368778127076794,0.5705096014642047,0.7494542747434831,0.5782430535698104,0.713745446710687,0.5380908622635306,0.9323182924922429,0.7074559276905937,0.8342416829543172,0.8788684440479877,0.5352270910656979,0.5521003455552078,0.6311129315986808,0.8226712265497693,1.0901515930608192,1.2945511264867589,1.3667021947267297,1.0478843735268117,1.1022817532150526,1.4367557892692409,1.1855050955725808,0.9868266602745387,1.318761028977483,1.4266609481652825,1.0682685322296182,1.1282599964085738,1.3738059582142892,1.2435409859699103,0.9939703398320074,1.1050427299238978,0.917208009458028,0.9245195421499344,0.8754437991951491,0.7924593965034943,0.7944066390249672,0.6447629432335714,0.6332296209308078,0.6078235637039958,0.6515064982351002,0.5754403331630707,0.6056651316584719,0.82832118375148,0.8419988572481691,0.7724720908562199,0.882445034778935,1.2059011387267555,1.1916677889233145,1.2605395085122295,1.5094699922816448,1.665789762106964,1.3343228035295291,1.2620658809752685,0.8745763300220731,0.8132602861487618,1.3848531853955366,1.434455916883164,1.6562074092869632,1.76735034312509,1.0393856657239795,0.7729168725365879,0.4997403421381912,0.4519218709949846,0.496900776797144,0.4960837166400289,0.6585902057763354,1.4918943529232849,0.5185879972580637,0.6488384643966578,0.7891275814639468,0.8490287870839651,0.7485163788772758,1.1836284768804717,1.9602753291169426,2.265120050661426,3.140771300758726,4.029474236995348],[1.094481857508757,0.6716314171954872,0.6635110713370269,0.46230403903352885,0.5061472995402839,0.45108094698544204,0.29397839312961027,0.42489808283454694,0.3220312851847677,0.30061944821009323,0.3556957311235176,0.4671400380606065,0.36845288523571434,0.36103412243743455,0.5676700802840517,0.49499359035652685,0.5082883349068876,0.6331643925341364,0.7740182921134241,0.7112844132707281,0.7945421494971471,0.8557563509850873,0.9160888764605918,0.9365920769638589,0.7928641423392212,0.7877362398940692,0.6374364452949286,0.5265551742932629,0.535675636838285,0.46438405941310135,0.5971911532049297,0.5430103331634532,0.6485398299625968,0.6172758718226405,0.5424415806319784,0.5460164194927668,0.502458676599133,0.5344428880555752,0.5399902432899654,0.5095305562002345,0.6543321539504581,0.7271053595933281,0.7548934754289831,0.6761514996120059,0.8604312264666538,1.0344202103453604,0.9261332657310433,0.7515577703743913,1.074929384210766,1.360851994575527,0.7955455353643573,1.079176955159517,0.9966067729399748,0.9780418251016466,1.5385648054571528,0.863999005190455,0.9744681076842795,0.8474249033725524,0.8142403847697927,1.2913805140449366,0.9416022775665039,0.7832888386934663,0.7624875391862892,1.1059286497047962,0.8602344706585672,0.7116819869054218,1.0029961451481806,0.8368183485752749,0.9555509956140414,0.8698369532110025,1.083717019123592,1.3697872449534008,1.105191565696938,1.215854853086406,0.8159691186804565,1.249925014853537,0.746548722225544,0.6990670530124868,0.6307535982198192,0.6327138775124292,0.6126213639869083,0.6508995696519235,1.203244254397134,0.5922094619977479,0.5698561316989418,0.5375450628312306,0.5969021772194334,0.6020160794607635,0.5652857232821278,0.6294162052097761,0.675879311279916,0.8559901135442649,0.7204320358220581,0.657694963059342,0.6124241991420033,0.6652828627454935,0.6057929689737934,0.6069273943847255,0.593367121814601,0.945221403688015,0.6227108100314462,0.7278093388621831,0.5626354874734492,0.6155899731785589,0.5742606321397561,0.5980938676671133,0.8163635560653305,0.5043882090498623,0.5193346326530649,0.8317125139092337,0.4483020074909666,0.33977638074220007,0.2981236181390749,0.3381514487526237,0.34330560500222007,0.40518453683802996,0.47778244889180443,0.5212326724870748,0.7090986170957494,0.6582944571338407,0.6255667345567599,0.5372426365159327,0.4678140621092582,0.3232739475885123,0.299521903448493,0.33349027765432776,0.40675981814982815,0.35972111649075883,0.34744831446898106,0.432242515251974,0.40572011908561467,0.4741497116291917,0.38300983248695186,0.533763094307923,0.4228517941575225,0.4627679045406781,0.6929090181154017,0.3939235336844619,0.3922048184726255,0.3972305896917118,0.6707089533585696,0.7111285029868059,0.6003427709859851,0.4394160893774006,0.4597594952769859,0.47386871099054584,0.37225199778829915,0.4002080730108567,0.3713127975900677,0.40086220080596674,0.5145787853816838,0.6340335870118489,1.1141768220594137,2.077186570197915,1.3946073732653828,0.82020934157335,0.5354853636663391,0.581455715597778,0.5026783712745104,0.5093136043338418,0.39690405043309446,0.44218203598258515,0.3975404027614016,0.44509424986422386,0.41992385251098774,0.5569707008084065,0.5100840121370701,0.6777634181527171,0.7281455097837701,0.7521376839365139,0.5135096663770788,0.3816666109349102,0.37784218443331696,0.3939868617955222,0.4047036919396287,0.476327308726531,0.49612838110693425,0.7718573924970253,0.4855774747259857,0.5541281193085411,0.463689505938365,0.4439561431040308,0.4370691783157607,0.40843058604367244,0.4424212473112946,0.5121375759366485,0.559700654537083,0.6666726755562097,1.1929677757417803,1.9373681953627822,2.496609205237701,1.1181349637408011,0.8110097052814463,1.0412881831635183,0.6480334601535471,0.48036914267541275,0.5911487999429998,0.4481229178627749,0.49443830431558466,0.5831219414710364,0.490181792279757,0.618307979633157,0.4954231795069767,0.5151556669234258,0.5803196016130251,0.6004292811858556,0.689493612054141,0.5883776327230782,0.764125566048362,0.6238291854585232,0.7003073960695879,0.7342992004519154,0.784924974422967,0.8252283485041805,0.8762986880499757,0.8693459836453233,1.0015187575499447,0.9397651957629762,0.7730045657156944,0.7389030037147802,0.777233471160138,2.0186916631013605,0.9504604188047974,1.4576070155521836,0.8673686008194319,0.9016000120226276,0.9833787957786866,0.9255346683576607,0.783125620577972,0.6160799983873128,0.8032902865961522,0.6096572856916687,0.733510195001729,0.5738893858417967,0.9458138747564809,0.6955027388420778,0.8502904918304042,0.8544851296094882,0.5622067371182407,0.5933803254199891,0.6767197073588184,0.8638774962285928,1.1364551573653925,1.3576792048152606,1.4162037582656746,1.1005960925387834,1.1602721678225736,1.4928071332384107,1.2407865937433682,1.0264900498616998,1.3639204599502888,1.468097869826712,1.0903828950043735,1.1547962565603007,1.4002850752403515,1.2507461445463803,1.0007556466909575,1.1204679957779295,0.9375302421588756,0.9575294285395964,0.9148652476462472,0.8411448295520262,0.8291842289514488,0.6793674368985941,0.6823893615250326,0.6509833728060296,0.6880747244359067,0.610950503255938,0.6437896450189285,0.8466445387440017,0.8731372546004269,0.79474148208973,0.9038371797462333,1.247432462957753,1.2339110553141512,1.3242883311675924,1.5454045025681113,1.7271799538426587,1.3974455751765409,1.362752628744731,0.9509013036086521,0.9185881809093572,1.5431377934593922,1.5526498130675634,1.7423156010310066,1.823692497777354,1.077115204613401,0.8322346287159925,0.5373592322142265,0.46236662360543207,0.5171424680789584,0.5366910492713356,0.6890578698583302,1.4946635594819406,0.5478739481119854,0.6604887073755967,0.8038622050135599,0.8769189612171321,0.7340760477802712,1.2186260356055874,1.94639277188959,2.2187365269354298,3.144167308847659,3.9800202487838106],[1.0901161137778705,0.694695515057819,0.5509040375135199,0.47720750085107233,0.4876095768402621,0.4308524657568959,0.3085994974176537,0.3945123338282142,0.3254105796021468,0.29220465715822236,0.3391874977220369,0.42582036241034715,0.344295661036421,0.3740056182922814,0.5226521363515974,0.4612265926633418,0.503166536200725,0.6162042047141555,0.7538549078096484,0.6982574559615685,0.7764246802750492,0.8514657331555422,0.9238231492536171,0.9637337437619612,0.8139310153242194,0.7957231595200334,0.6618981923989335,0.5505000397982562,0.5267589037671839,0.45039028316347335,0.5513536962620611,0.48250258464538653,0.5874429799608116,0.5651182234601805,0.49786996987578874,0.5168631229654297,0.4672841041511259,0.5388761462011866,0.5597440086337025,0.5288710868434262,0.7030813483762941,0.7454949663577738,0.7684943359564794,0.6973267951025073,0.9392838158257929,1.1325888233809018,1.0439135523632108,0.7818115802037612,1.108734223184606,1.4084441751891048,0.827069773088722,1.0625940507086102,1.0107697078422946,0.9118146784273903,1.482927259226171,0.8662039550450549,0.9286299283779106,0.877280980283344,0.7928761540033751,1.3719056450035052,0.9416786098859755,0.768110163781498,0.7296928128428712,1.066859684414123,0.8496035415273235,0.6977200807398444,0.9412251868852359,0.7812357406079039,0.9225015929944886,0.8094776088361073,1.0229925255367172,1.2686725936619372,1.007871213387098,1.160849006908787,0.7549683999121172,1.1894683807537592,0.6919877574303858,0.6394027123902216,0.5824645376046949,0.5933949107249075,0.5666561236880164,0.6364837748216744,1.1515585816348255,0.5193581124309429,0.5919670161195776,0.5239999109472363,0.5796227178492915,0.5638206062989297,0.5418435262974253,0.5793103786393029,0.6226525771501202,0.8044723615662477,0.6662176343330203,0.603124161714744,0.5652975971410289,0.6231314780577826,0.5666499651566024,0.5497637830387879,0.5437150486483937,0.8596387385643308,0.5486929095477996,0.6567342554681349,0.47643543614022343,0.5298174347894874,0.4966585329405935,0.5255697468687067,0.7317086406021346,0.4575972432393765,0.4863587231355231,0.8213073488803248,0.4212481629884041,0.3251261521583091,0.308567123074895,0.3573839721383299,0.3633071641396447,0.4448873525992201,0.5013890576130815,0.5628825340461923,0.7455813016249447,0.6596960269378528,0.6433421999528374,0.5554072639840213,0.4993813264627869,0.38407420333553444,0.3580184308506184,0.3968782384959436,0.40779136082453554,0.36126677409398,0.34655637418893104,0.41181142798877485,0.41980858563847623,0.4614745444403646,0.39368141456615513,0.49356379909688297,0.4471036357006088,0.5094333221579584,0.7280408656599546,0.44405683040869953,0.4429725661644159,0.4561072590063367,0.7190794377200092,0.7701682426681583,0.6453176004042962,0.4960335089207729,0.5049745775389,0.5017664320054391,0.4127186223828437,0.3990878524034782,0.33941949814097666,0.39047323168194853,0.4831988575072741,0.6104815641545721,1.031661511192811,2.0209202704618767,1.3820966957661125,0.7439422738986661,0.4770821577791731,0.5093914895338001,0.43318531143478145,0.44682154572686117,0.3636262837762015,0.44746545297250806,0.4265426514336521,0.4869682607632462,0.4706653279022017,0.6119541121044035,0.5812016276067029,0.7755321539652976,0.8176298454292172,0.8188825937065495,0.5788305224217384,0.43635000470966545,0.4080058633611579,0.39387448653451596,0.38716504875092134,0.4225767392135933,0.45117972747856083,0.6886389536660575,0.4408120052442623,0.48800974604028474,0.44729580169343797,0.3843345710741774,0.4025069322160695,0.43155346833821534,0.4562060892041016,0.5001931557323334,0.5524296378816728,0.6758936786116608,1.1538320990208784,2.056627906566024,2.5622294475304765,1.1040123984474248,0.8776190810455617,1.1554130284367687,0.7060960811142993,0.5011056965272216,0.5927138282998398,0.4764133503895576,0.5223303563187414,0.5834955389723002,0.46987013199215394,0.588497130336165,0.4879501317028153,0.49920690874656654,0.5519904284858836,0.6017866110950121,0.6468545182755215,0.5710417638864773,0.7854260696530342,0.6454093298970555,0.6762607506615413,0.7585639963075612,0.8626222402354731,0.8057094492734369,0.8532151215719594,0.8250003321426149,0.9635627638580703,0.9183147685097264,0.7351594880424689,0.7305380271713326,0.7533108990662165,1.9002507214062774,0.9500293454577237,1.3633206610466162,0.8018665834912714,0.8150543296555903,0.9057980448513091,0.8162951396170487,0.7384420022020656,0.5765085270094809,0.7590764352376912,0.6002627246903739,0.7404374093307173,0.5839117533216425,0.9359145436421976,0.7949935136869932,0.9027541816872404,0.9264400414370955,0.5786151100843124,0.5446897212245546,0.606357577815959,0.8180797930671114,1.0724240867628414,1.2596403178898237,1.3363587706736375,1.0440396843741608,1.0958590689623902,1.424150602872971,1.194464847389735,1.0120773733676174,1.3621617791757952,1.494706879724416,1.1453949289872156,1.1859543878844205,1.4522222159471514,1.3633200884999879,1.060206993316941,1.1571978596190344,0.9559109325080332,0.9435087700185453,0.8868166491535636,0.7836041514979479,0.8124969077232883,0.6597397433303269,0.6280510376430768,0.6205007280768884,0.6653562533801501,0.6023427532688669,0.6458028468163737,0.8713031180039382,0.8783981718589348,0.8408873693632893,0.9502101561806467,1.2879575343648806,1.2634188415592853,1.3152160445494907,1.5679857796555,1.7115753478510216,1.3891762480757883,1.290999211212622,0.8924497268815543,0.8009522949334141,1.3944562955288187,1.477529523333559,1.7280989651221845,1.8399433408287542,1.07747014278141,0.7890728038979395,0.5429958934358414,0.4907298455062929,0.5582081010300071,0.5271184069644392,0.6909121461410845,1.5093429671213041,0.5560750539412498,0.6816848857889212,0.8077624770532804,0.938941016476929,0.7389940724093051,1.044471496321385,1.8141214619179988,2.17074343608546,2.956539765252851,3.717191398984007],[1.151494410622083,0.722564686978834,0.7250327306529791,0.47618551895785316,0.518546430938541,0.44804696673907435,0.303376276085481,0.45245811729803803,0.3661631109391808,0.3448285802795934,0.39915781790360766,0.5013017423159255,0.39741438325888445,0.39798596863249164,0.5865556223380141,0.49810322546373587,0.49896907220466874,0.5908194895611305,0.6931996091415921,0.6527372065581645,0.7035752806972738,0.7907784184512011,0.8211380883407906,0.8332200442080013,0.7251604866691792,0.7066818875253557,0.590441376046341,0.5061275756864073,0.5172224718468061,0.47188089574049774,0.579313620658035,0.5381090291551537,0.6077720558316807,0.5977092518088274,0.5271494233099844,0.5151182276618713,0.49838457845246487,0.5101321294072535,0.5010777784203854,0.47855578910040397,0.6249971966434045,0.673627563805862,0.6876684221759956,0.6177825974174267,0.842356213407149,1.0628172238920877,0.9325852581893026,0.6978605563157848,1.0653146933445157,1.4206805193691492,0.7901360283445094,1.0613237936290993,0.9093717475363717,0.9166745908024465,1.5568094899551381,0.8107763991000652,0.915961549381596,0.8309962668776354,0.7740418630809008,1.2667550298337868,0.859219950138484,0.7137047140994986,0.6895688757608337,1.001009068972116,0.7710134367462625,0.6472895078924519,0.9163139408931816,0.7713009878615584,0.8858154584246499,0.8146204473187871,1.0308198189038804,1.296389330637746,1.0493551229820808,1.1371043589123186,0.7569374546157659,1.1673065721116633,0.6776921049564428,0.6364157961037774,0.5859236623012549,0.5924734625994307,0.5876315107166175,0.6366167710953823,1.1869961899929216,0.5787751512205365,0.5430742074147952,0.5246292102626076,0.557404764509258,0.598786828747341,0.5280970982938499,0.6114482582903868,0.6401152905245958,0.8100294722966243,0.6796315930441524,0.637577196517392,0.6038262529037316,0.6644783785475584,0.6055017157568975,0.5971377504895106,0.5976844332640289,0.9119421724644012,0.6321855745193736,0.7552216162031045,0.5666973173833292,0.6382526654509928,0.6002993330211012,0.6313404047223503,0.8769653419530414,0.5359750441022805,0.5554295681407507,0.8416186528190414,0.4897794079582643,0.3637825108706219,0.3220963859913667,0.3651091032178801,0.3708099334233504,0.41809690278585476,0.49682281622742525,0.4888936558039943,0.6534779227373452,0.6180720247617679,0.5988912864160139,0.5151542931220152,0.4514499569677518,0.35276533949570527,0.3255902967965392,0.3815467424546315,0.43371700128661983,0.3863689959714494,0.38371734213059255,0.46491649855383954,0.4331066629977827,0.5171040102065803,0.410426402166577,0.5536231495470517,0.45217680072403665,0.5049655805267091,0.729797390164015,0.4126661037073264,0.41360570480744063,0.38552538554147414,0.6235778939280668,0.6332931488821858,0.5669157872535411,0.4244996016653615,0.44338792143467987,0.47151528308537116,0.3820848347732039,0.4240654214932024,0.38459090170171883,0.44903571051012414,0.5468125722046951,0.636862492297087,1.1401969572654564,1.9829665952690145,1.2952148090905684,0.8154930339087001,0.5557603237191808,0.599309256978785,0.5169206018795992,0.5411292975510466,0.40274353697599985,0.447518236062193,0.39060570957181423,0.4324175235659293,0.4237325360619649,0.5619220392882281,0.51702835003544,0.6990256321351219,0.771201614689062,0.775364753426978,0.5274770208929223,0.3881633132364383,0.4057623819980315,0.4202217144833878,0.4133735695796525,0.48325043281772956,0.5039383326788248,0.7584156510976436,0.4926385707334683,0.5431472227001388,0.47424031750062867,0.4729707434512625,0.46526788851918555,0.4265995853304376,0.4388121241725411,0.48136918673997003,0.5235368079711809,0.5883670488615637,1.3151062258668276,1.9883427788365025,2.522143614528418,1.0225952498176365,0.8185196803920202,1.0410905790688336,0.6347105988053265,0.5178065213941621,0.6237385785259174,0.4769553718355308,0.5257025900582233,0.6002059580917828,0.5319454265944058,0.6699904833695318,0.5384231596548741,0.5472277810550464,0.6286902053587741,0.6584853691595209,0.6986473859898957,0.6327766923993641,0.8489729919782364,0.674211476861987,0.7353367131756733,0.8030542655080921,0.8789264880634788,0.8540232703890637,0.9050535665961094,0.9163525136604246,1.0005107748431952,1.0125858764656661,0.8111959746976471,0.8033042251129122,0.8382801002288057,2.0191355658575763,1.0030159797959022,1.4415637368499032,0.8918613433810391,0.9321442031943264,1.0318746831915817,0.9343555221628486,0.8382199717168215,0.661349523373244,0.8448532029303115,0.6411545690763891,0.7572320644267982,0.6164042658214306,0.9571203923944378,0.762466080189829,0.9132793668838548,0.8820502854896837,0.6016961762692479,0.6215435600790986,0.7001717928485339,0.9110598303259672,1.2041393701695078,1.4240273763493838,1.4852427150278602,1.184225879698224,1.2432512005880327,1.5855187108304472,1.3498914464055523,1.130697261392577,1.5025341059725421,1.6317963618700069,1.2441546311161475,1.2955410157816707,1.5699229134996537,1.4514250100793689,1.1301656057398441,1.248500576599686,1.0364360733029179,1.0510657220301287,0.997093463984952,0.9014844021123829,0.9039891561763852,0.726832305896984,0.7139340867014271,0.6877948498594364,0.7140298741575626,0.6491663807369691,0.68573115139937,0.8794554863446491,0.9132149464849562,0.862334934415488,0.9761605005973455,1.3413254171524351,1.3123324234940568,1.396468160972719,1.6373981534102788,1.8166098782551623,1.510268189380997,1.4825500344723583,1.0097449907948703,0.9574727122629603,1.6714516620587354,1.6777163647718965,1.877813904629793,1.916137539224075,1.1098971234326402,0.8460703320277081,0.5547977883308315,0.4844570848489735,0.5573582627796809,0.6101236929875193,0.7835608676344662,1.5384271625025492,0.6100288127106863,0.7248665153507267,0.8735475243809299,1.06589679845076,0.7191249717319513,1.106911088397182,1.7703170261579162,2.0186852971521545,2.9866738359443117,3.576802209345392],[1.1678525992403916,0.6767286689982125,0.680834352403822,0.4089445559213751,0.4502901373508707,0.43278450885162084,0.29044587254117016,0.4525177676191367,0.37685319394688593,0.3667015470794561,0.4345457014407727,0.5462548241610805,0.42783996241080796,0.41471255638524956,0.6069511809076616,0.5205999299238655,0.4954435443760493,0.579863802486709,0.6523103025546996,0.628359979345215,0.662120748377292,0.7648070939723753,0.782397077018552,0.765988601249254,0.6927327104032802,0.6642096792228823,0.55495106981919,0.4810148500547576,0.5061063617538146,0.48981047976811987,0.585218047824067,0.5684857171272103,0.6399316282076752,0.6298595825668647,0.5566266931255349,0.5275071217235747,0.522160623627446,0.49822335016433794,0.47266657194118394,0.4452082974586319,0.5992680183978544,0.6514684497952957,0.6444414467190366,0.5855943641124393,0.8622600789025926,1.1051502753535685,0.9577739774336875,0.652259704977588,1.0338514617434076,1.4461436723629877,0.7833659866044606,1.0515180680672835,0.8810992116774906,0.9024000725745006,1.580322882583891,0.8118568908384919,0.8901485999670871,0.7944713407140477,0.7568784047098178,1.222590903550154,0.7847401414360491,0.6596973956074192,0.6456879413751493,0.9264241417773533,0.7215966034483609,0.6090677148946624,0.8930662539081652,0.7488365352333615,0.8417885393780009,0.7861473532398613,0.9917630487145713,1.2279912283680705,1.0138314296163473,1.0858213008656734,0.7259589799849792,1.1264331107394716,0.6491113826077715,0.6272765337209021,0.5887487848541431,0.5898838988844834,0.5998819841701484,0.6453566384080822,1.1589817732792513,0.5684342333890554,0.5414628759202632,0.5323382322703897,0.5523177878398975,0.6255003587517474,0.5343019483569743,0.6251577592303649,0.6368167054504572,0.7979207784257186,0.6830086437153814,0.6535536322619719,0.6258490035403657,0.6833090860235971,0.6304259707692748,0.6353750598932417,0.6489757703439026,0.9314537109007569,0.684090519279904,0.8115057455668041,0.5998150104100163,0.6781700213125108,0.6234958924323958,0.6477778965379574,0.9340157695672254,0.5545845423336935,0.5665146658587373,0.8674257008488737,0.5152184334593279,0.3824468672465896,0.32157311844501835,0.33153144030735454,0.37627112191253925,0.3881133815926744,0.48600149662867353,0.45189011250823413,0.6082293198401386,0.5832527743173929,0.5621770021386577,0.4909487396947106,0.41213447785464424,0.3336660052233728,0.30321986383557115,0.36307645197250854,0.4294301114999381,0.36850904533857254,0.38077234850500663,0.4729999617666633,0.4140938220529748,0.5372517216534399,0.4087327146060838,0.5344668684493876,0.43301961459826777,0.4959038846613914,0.7214607518409504,0.38308639214271034,0.38359331860170875,0.3484831087692708,0.5926602979428544,0.5848293673694034,0.5010793200002391,0.3768364102304249,0.4074083908204117,0.4515359410107055,0.3689212697020547,0.42420411320726525,0.39728291341403943,0.47110453124996554,0.5765983866781721,0.655392390828313,1.1448223509097992,1.9078078883533185,1.2618651328750434,0.8535411553160098,0.6093096662926194,0.6492579713088166,0.5519305540850434,0.5750677721476776,0.40935347270571826,0.44448113407824247,0.38229019346672405,0.41999948068600296,0.4079311240587405,0.555722916033317,0.49460751287987614,0.6997027850575149,0.7689861210533688,0.7600762167859256,0.49739681569370287,0.35788398392430465,0.3792650872620052,0.42200092592037614,0.4202603483970052,0.5031151280018162,0.524702353252465,0.7477306394603321,0.4960977785769856,0.5379506075740977,0.4859326153612962,0.4875012207458092,0.4735319348064518,0.45245880949909645,0.4605223243963119,0.48046156222876557,0.5153862228544642,0.5588150819390567,1.3968108826589858,1.9672000146197366,2.4846943713750336,0.9467070974891703,0.8026779860347333,1.0148842360083636,0.6028469663042203,0.4799427882686249,0.5775876405432206,0.43808724990657877,0.47953268700814294,0.5768427589460718,0.5245831729231557,0.70341372684404,0.5457764881154437,0.5052599764621938,0.6359111787832142,0.6804620787395329,0.6048259233497936,0.5757580122777524,0.8847716172424213,0.6469617088568018,0.6612929069379528,0.7797306981773681,0.9093443915722731,0.7633573842307672,0.8337765337426598,0.8429294926410061,0.9576093056354225,0.9627550768453158,0.7479346755354996,0.747355693194619,0.8049574038882417,1.953921185401377,0.9473454175905093,1.4398541965526703,0.8783070729492818,0.9296576295099901,1.0479260736086295,0.9345673470476032,0.8331822039180212,0.6572027566901336,0.8767576483540331,0.6287899116021342,0.7489284715844902,0.6207922191315757,0.9040425014249497,0.7587419544544843,0.8842032371651536,0.8331305715274506,0.5614528461961492,0.5963158188951704,0.6968184976660641,0.9251623115539523,1.225885142527976,1.4638340225699393,1.5130381341332617,1.2263704431837685,1.3052932946658231,1.6508796333569546,1.417508001072749,1.1931385213515904,1.6028009498588598,1.7506985137493398,1.331681308593881,1.3861912237609004,1.6995028334630595,1.5906134065406832,1.19884109114997,1.3250214536762035,1.0734963652592178,1.1051956860710435,1.0561696318533804,0.9422278794230652,0.9235211368463252,0.7267240497926211,0.7207353852427762,0.6685415474809845,0.67902498999711,0.6107703763549036,0.6616842529193993,0.855377890558901,0.8783911307809392,0.8311608739713168,0.9498521631796146,1.3243639566207344,1.2927799721145596,1.3811660642088026,1.638247075228499,1.8295667557430912,1.5133813108748677,1.4934603811347902,0.9666415309622025,0.9007707246390508,1.699974987456218,1.7003946454546768,1.907014683197837,1.9245847416668735,1.0638150447832602,0.8023098016947785,0.5107623985568116,0.4594320997949183,0.5594606910381988,0.6279724225434948,0.8133450357796473,1.552941554681339,0.6247233182310988,0.7171495814646076,0.858233994838987,1.1493477282355502,0.679622285173695,0.9357136360527194,1.5217391969001255,1.8076046000626107,2.8032070499100086,3.345413806908397],[1.2440363195886364,0.7594894006910454,0.7234799338403629,0.45911137357908477,0.5006500409652567,0.515067630409457,0.36746296524256794,0.5014889322711198,0.43208418120071285,0.4156883379338389,0.48069208193911966,0.6133682802293501,0.46753584865503744,0.45590502899158536,0.6559357917342575,0.5738426556612506,0.5394555136424277,0.6317913183550872,0.7083331740843074,0.6861191511961876,0.7255761727723469,0.8037793038536918,0.8398959323714003,0.8229264214569871,0.7309009422878903,0.7071665394880535,0.5991930603485304,0.5202640478761865,0.5479947969324892,0.5382713481974443,0.6568325786462307,0.6356917358386559,0.7180563409824957,0.7183613821767204,0.6298198312065953,0.5833569944102478,0.5736426406221281,0.5423061296187183,0.5168831401372387,0.4872922723245489,0.6377142179576296,0.6931847758809261,0.6894576383627476,0.6189430730163106,0.8855379631616472,1.1240479554254772,1.003891438925896,0.6852801221899953,1.0440602100438061,1.4482670530269135,0.789772837228136,1.0584408185784804,0.9174713015614682,0.8951595606154474,1.5820496615889323,0.8326176846771638,0.904521108215945,0.8403261962069778,0.7815729827318731,1.2918154485277973,0.8417288271304046,0.7312658260256594,0.7217126634020737,1.0161679541651076,0.8022963749607507,0.6799350816372495,0.9514020014645274,0.8192612268113196,0.9130112815455821,0.8616503684300688,1.0285822618764813,1.2908067887362027,1.0906986285792317,1.1781090178966258,0.8233096567975493,1.2279038160280953,0.7548286597471738,0.7403180304109894,0.6727479324199815,0.6436815131148359,0.6548127033059059,0.6678859702748298,1.1546103209401721,0.5931111973282743,0.5804772333626135,0.5643823700698326,0.5936218094839836,0.6727447144571069,0.598993927163444,0.707054925196162,0.739769176879501,0.8953221274835714,0.7907817648426971,0.7564527260846196,0.7159434253392573,0.7854411791643263,0.702825690041276,0.7254976891811796,0.7162727356590616,1.0083209319559656,0.74072141417954,0.8697171521910618,0.6452077071405388,0.7289766980344599,0.6607255945975332,0.6729505391875366,0.9760467306163777,0.6121125312498474,0.6333350072221343,0.9112784962466097,0.5796435698219263,0.4420922199027072,0.3866753942038181,0.38869614918096257,0.40958360785513476,0.41152465000413374,0.5120410979253027,0.4892832846812555,0.6578697482973971,0.6281348352704114,0.6032597861843608,0.5271394075050605,0.4514035648483067,0.3694876928261073,0.3613625270845254,0.4340410821102211,0.5034434454668392,0.42955950952902067,0.4600805317591604,0.5252606692234463,0.4939832467220161,0.6070168831234759,0.4689732981749822,0.5675000699871924,0.47995046180871165,0.5414788061422573,0.7394644970156343,0.42691607085006716,0.40891637993326213,0.3809203679970235,0.6204060456130649,0.628387981479102,0.5373941927597224,0.4073778681882377,0.4427418023510881,0.4889637001658136,0.40768176796570355,0.4705913833565781,0.4443901943569401,0.5169374384018651,0.6324565593532473,0.6939442710330782,1.1982478641837515,1.9135136306192013,1.2834605321671597,0.9143744250742903,0.6590776358684138,0.702736923089692,0.5888648053163993,0.6235480560651948,0.44576274912622815,0.48780817711509744,0.42016832430980455,0.4653947157894058,0.44833829027631766,0.5604259370416202,0.5368095250095479,0.7483336531527108,0.8268970802266484,0.7868019675940578,0.5348021820583998,0.40001361039344147,0.41678812339125804,0.4521798445995566,0.45079543975215514,0.539157276709297,0.5686155656063229,0.7912249617563994,0.5260913073674106,0.571221512088758,0.5014845124882275,0.5163462304846995,0.5078698235628939,0.5043717877753219,0.49336398014902044,0.4979272969084686,0.5188974287587146,0.5749624865203041,1.363941167031034,2.0061583355929815,2.481546448394431,0.9701683670658491,0.8458160400621892,1.0515647712178295,0.6477519067117445,0.5471419674515868,0.6163874122106849,0.5218565065372663,0.5599777691972387,0.6472445352794155,0.6070215573981272,0.7978758418506572,0.6381609234749838,0.5894308200451203,0.7439084418454727,0.8006998084402833,0.6455906441313448,0.6669842380363918,1.0450961636317146,0.7776618294355421,0.7435140535525825,0.9328329482863821,1.10749461856805,0.8079528440202329,0.8931026492549929,0.8635487284377965,1.0370783678188524,1.0197101810033402,0.8106338403798404,0.847058398498584,0.9255920224455719,1.8886676545646603,1.0167164105389686,1.5079474151259853,0.9702037932398682,1.0249295448141933,1.1319872565377682,0.9973823032281419,0.9153703968152063,0.7497674677476297,0.9542334388180349,0.7075950858158554,0.8349749716719477,0.7219388379909376,0.9253207219189795,0.8818886874387908,0.9391787561708753,0.8772510886010183,0.6367178505855595,0.6427225323132029,0.7569508024795314,0.9953077498453721,1.3053092150387602,1.596242578788078,1.622527355976405,1.3223413611443842,1.4466369040998273,1.7992828358948787,1.554155121298158,1.3400491956813847,1.7928045046738386,1.9488958201449675,1.5144247070441637,1.5951635883572435,1.9527323393376095,1.8481489576088361,1.4226034040175177,1.5600711923499098,1.2567894563368436,1.292054757482735,1.2216281923557804,1.0973946174728102,1.0739522504623653,0.8534650555462302,0.8290964733429268,0.7801031486396496,0.7716056134092969,0.6885418261593462,0.7529246795117008,0.9446183407094453,0.9297113803254823,0.902087221135335,1.0467332133554978,1.4219642959892675,1.386986147783712,1.448335120808602,1.7607671528719264,1.9212898163681926,1.5988435968557508,1.5523944020775924,0.9955002140168053,0.8909054262718292,1.7120172170484655,1.766520136083205,2.0195467078770433,2.0159292955443076,1.108611918407815,0.8345700894226902,0.5898232988816892,0.5719932044824761,0.6617422294223659,0.7159130997742104,0.928316134497899,1.609086910904724,0.7146548805002845,0.8342341063483582,1.0076298352633897,1.2837232185110035,0.7555402718154515,0.9465263219126894,1.3360978834325716,1.6395729274048931,2.779974775125237,3.3731628322211544],[1.2024730257129708,0.781482675496871,0.9099769132862578,0.6421185760194363,0.6515358224535566,0.6234028011979994,0.48131860224800616,0.6101186177085609,0.5061643778971003,0.475594315315801,0.5312352184245663,0.6617528336947706,0.5342780917022193,0.48263227354476707,0.698257980205314,0.6143838147756359,0.5415226345746356,0.6199726262392964,0.6439525086321732,0.6382457782106096,0.6623061628000643,0.7624775557505531,0.7694715993174288,0.7538745416708431,0.6915651047655439,0.6606665430501425,0.5868664600669551,0.5341285667793603,0.5640798979919086,0.5713981266553841,0.6692456285286785,0.681775269007507,0.7730176677338304,0.7435522355211692,0.6712562570383419,0.6148932964601737,0.6270779812022824,0.5746888495437806,0.5412744049427478,0.5262199906508497,0.6293751830527319,0.6679611887137223,0.6720437066077594,0.6153323129855799,0.8764750229269586,1.1360339790912404,0.9782483664736862,0.6623743656669229,1.0314659325916982,1.49276881845708,0.8701938079958381,1.0992450709340973,0.8770524861931558,0.9817581162209176,1.699671207307246,0.8948327103109321,0.9497179239633706,0.8412052319629912,0.8300590758561989,1.17998722552963,0.7860300039613884,0.7067173807057782,0.70255508187006,0.9117958158373922,0.7378299653431702,0.6593765669257939,0.8730809766446074,0.7516676914384406,0.8231382430375536,0.8008444493529734,0.9805388060897617,1.2468016242162265,1.0441828790067524,1.0809670548499133,0.7770873667716508,1.1600189356820199,0.7042915096287877,0.7146454258293237,0.6772186862622894,0.6667366653471611,0.7189893010194346,0.7680959462431542,1.2604116719731469,0.7044432895319102,0.6170048630618772,0.6447302597122918,0.6415795760054375,0.7263122210810573,0.6110159038083028,0.7356504622824549,0.7153423531739898,0.878238338738136,0.7800542443734186,0.7727377714391971,0.7300230385247042,0.7829824653395717,0.7129876439289413,0.7616070005205338,0.7727570519892988,1.0648824765911038,0.8201928350982363,0.9624504106281054,0.733661227880169,0.8402083370346792,0.8115039921918115,0.8063743913731474,1.1049992241837026,0.740325036154068,0.7467692375621565,0.9726460416902004,0.6921919862991791,0.5646462635125004,0.49157253966002834,0.48986512149701417,0.4694541700737771,0.4647062318279553,0.5609147781930869,0.46838827209595846,0.6074846129583684,0.5962314198002462,0.5655883262115795,0.5199591063219308,0.46009979044943716,0.44561223549749035,0.47300729834565625,0.534453043205389,0.6071368526618663,0.5606334281455274,0.6070496380918626,0.6572843415918984,0.6343971678443253,0.76735994343153,0.6182313388150247,0.7255063037657922,0.585034224366872,0.5948316008402124,0.7674391449013362,0.5184502365988968,0.48985977456486157,0.4260815555950388,0.5752815861799054,0.5664329625394758,0.5091428732497746,0.42429762452764086,0.47686488901666224,0.5230748813139743,0.4642409062865919,0.5529268470241484,0.5398290490046717,0.5908982096401759,0.7246432030577796,0.7641208954532986,1.2727229493748176,1.8564791103366491,1.280148219857513,0.978229776719833,0.7353396599886238,0.7994454204829141,0.6568584225684664,0.724585912127222,0.5575617184586951,0.564497974553514,0.4789973850834582,0.5136015441509055,0.5126060425378736,0.5699304648807175,0.558545388849019,0.7206347891025074,0.8267477949833747,0.7642328773411167,0.572903709579396,0.47778696380242613,0.5314693483745482,0.5534925920476893,0.5564048816798268,0.6504560940704491,0.6386193822836117,0.8892437409754059,0.629575502612209,0.7024821560363363,0.610630413916641,0.6529423963965874,0.6629215792485528,0.6385127817619513,0.5951321947104132,0.5964608733644909,0.6260525278916046,0.6291218727697849,1.5160021255084595,1.8525019075760842,2.3619187779585764,1.027876893939341,0.8345379704174439,1.010611617991752,0.7399391146654324,0.6315977704729752,0.6656940322154962,0.638050923197223,0.6829572008808157,0.7693186258694765,0.7159255133605542,0.8775426172229427,0.7412881337641397,0.7065959535258642,0.8085902328404269,0.8316086974205553,0.7788061505831267,0.7576698692017109,1.0194299031873906,0.7885640672708846,0.854279443469053,0.9187704935151267,1.0157237424590508,0.9208494692974174,1.0133613459371493,1.0678512901762696,1.059494369685897,1.1558946768417449,0.9355709659930879,0.9072375645772995,0.9494359324430635,2.0222641027358113,1.0503629922076378,1.578530152966373,1.0290188025664562,1.0888796872646012,1.199937639000663,1.0989589692146522,0.9816335404088095,0.8565390486857056,1.0523647986609141,0.8266265945179155,0.9278497959321012,0.8501531424581524,1.0556024794001746,0.9267133034392394,0.9899582732844304,0.8972900492635474,0.7478490192498389,0.7656445330861764,0.8633775327495349,1.0683473889116084,1.36194936572836,1.6362405423892097,1.6566112749085575,1.3648582107615566,1.473423028142809,1.8182281061504064,1.5733671186564928,1.3395855674766417,1.769713535613817,1.9157059650345538,1.4674083376000124,1.5458429949418533,1.8791359230514681,1.7529908416161262,1.3455793734587378,1.487214054708599,1.223678417596937,1.2715744791239925,1.2223289478947514,1.1252047037573962,1.0893286638603819,0.8951587809290317,0.9013224692240183,0.8566609322457628,0.860437175536007,0.7963908058266854,0.8460076858159198,1.0266560650406718,1.0397563039949893,0.9695917727906609,1.110153285740919,1.4707251566381232,1.4669356190463432,1.5607828944102065,1.824424898190722,2.030386835826518,1.7288209297664172,1.771270372346763,1.1961056127282492,1.15995636134374,2.0315140640105054,1.9731719796477538,2.1485092327224793,2.093248719897003,1.2166676425830607,0.9919577691690133,0.7234352327925745,0.6614361882028229,0.7380055406923767,0.7921910598482931,0.9667527911022628,1.5777208270778214,0.7815251267826824,0.8420706964204949,1.0117447189350002,1.3007064980666994,0.7728583506937187,0.9862177459803338,1.4000687710752626,1.6584546466213008,2.8405807428911634,3.448320056230166],[0.9995368285539613,0.9075285246170623,1.202322053598636,0.9216119325769047,0.8926302801520586,0.7392244720979491,0.5701774945577402,0.6543619572196842,0.5280395510316798,0.500384049789966,0.533814273916035,0.6188913057336513,0.5358600356375803,0.49623514492127824,0.6949201726072897,0.6158180227056397,0.5684815259396689,0.6587342106089341,0.7113710177800706,0.6875552223573768,0.7231308122419602,0.7880157505561258,0.810430706869932,0.8032471278748509,0.7107952926213765,0.698084023715246,0.6155322736145197,0.5861627122269795,0.5959324829244598,0.5774247592550851,0.696036547663104,0.6652879550167652,0.7527033096660899,0.7477759519573656,0.6610961871909622,0.619100477213287,0.6192582098910194,0.5880594193892541,0.557042434012472,0.5668343279927517,0.628184135367762,0.672550643015523,0.682083865660074,0.6362020823822111,0.8677475865158286,1.1041117181789264,0.9283403877136629,0.6731583181918992,1.0076449744166667,1.3723930485444364,0.86269668027964,1.1348848171051902,0.9286087325456212,1.0209608579214209,1.6674429122535759,0.8897632413910987,0.9869344026237621,0.8286807731396382,0.8522346425940069,1.216021823139249,0.9024654431224901,0.8185995793561247,0.7898368363751198,1.0500989865562733,0.7944352810225166,0.7081861778553274,0.9544947928304137,0.8157453225135955,0.9022505368111948,0.8769107099664725,1.0469759841945643,1.3351973137247495,1.139068650927996,1.156456003886605,0.8650950917955685,1.2704768948723624,0.7787544933929293,0.7808523124869688,0.707599163677379,0.690844481216242,0.7263085386331463,0.738578092714238,1.3247565792274365,0.7420041992661209,0.6205090448455745,0.6369366789775889,0.6346337548283812,0.7254132546858042,0.6300794623318484,0.7492440422510869,0.7607559127816921,0.9559138149251121,0.8395657076009052,0.8089227145780872,0.7444964420600957,0.8243783503701194,0.7399201893323701,0.7392487379890892,0.7178649583500387,1.002568854482161,0.7622734450615172,0.89970292073055,0.7115532040778609,0.8029430600379398,0.7965693556547709,0.824841214177544,1.119906216521256,0.7792490366435733,0.7943186076011917,0.974594075090193,0.7424742878974355,0.6046408092061638,0.5457625708292088,0.5741147155826442,0.5162151239506915,0.5670521379559849,0.5964454647102214,0.5730010706096027,0.6994422296855097,0.6481725577507934,0.63364726962917,0.5874867695797173,0.5722233454482646,0.5628092085447023,0.5978667953784456,0.6437747045444576,0.6260323777004223,0.6635166676554377,0.6893118734675608,0.7105704029518746,0.7716730893138697,0.8857623587652387,0.7263135104321251,0.7901057083621097,0.6793890356425417,0.63363328653633,0.7300465939864976,0.6636593733805379,0.6271523748768069,0.5332661768740421,0.6740809572222106,0.6546348677201839,0.6214704383143763,0.5229384464403065,0.5432886070948874,0.5548798671957099,0.5135004805652609,0.5686775616314905,0.5526109893102152,0.5741724498183858,0.6987641031797557,0.7101442369144882,1.2553771565816416,1.8511466152550116,1.2091969373686564,0.9072055099452726,0.670564309655459,0.7505582050647371,0.6352727580871042,0.7079448351608011,0.588814703739942,0.5798769347485693,0.5462460921526269,0.5515908985967254,0.6110973437960538,0.619692084334422,0.599437205355834,0.7187977832533171,0.822169331034932,0.7708928932654423,0.6230137639024439,0.5921435685544283,0.6341834084453102,0.5880816191660517,0.5643734364834195,0.6460701253924342,0.6308094125964657,0.9049449200491717,0.6327281451608264,0.7254951228215041,0.6166164656077376,0.6820653198621535,0.7080272759697834,0.6723806007757686,0.6373267203047025,0.6339966890054688,0.6669224632653057,0.6833269452295178,1.3252432457532133,1.684615061317599,2.172739576166037,1.202919639035517,0.8019180424906641,1.0703087609725048,0.8706176123217102,0.759667601347736,0.6986727723420304,0.7887794268363685,0.8670180281783417,0.9088962014480623,0.7932841355835836,0.8426376461670965,0.7950227770372,0.8719752752385291,0.8549979192482352,0.8346057058140702,1.017906390595089,0.9639285193315869,0.9518959416725481,0.9332064587729701,1.1316062453338371,1.0409393583556577,0.9921742242337697,1.23363160680113,1.3573645272358024,1.4234572819312303,1.2510392215494608,1.4450468809356884,1.2261087862006805,1.1109555267297981,1.0162508519327322,2.2428610612787696,1.1943484713640675,1.6964725187535907,1.0968704844902397,1.1136894939779165,1.1696036975174244,1.1185568493942353,1.025541390456918,0.9285762133822362,1.0912615597617632,0.9225750572331048,1.0334004725672739,0.9589667725404417,1.2004740581021633,1.0457854865134562,1.1953519053443091,1.0575444489100057,0.9302896142192119,0.8184619227978721,0.9026451811253274,1.0611118948536127,1.3134456706771382,1.5318698748904178,1.5683428903058168,1.2819927918280218,1.352159644356068,1.7011997443757714,1.4289285025070457,1.1886155118163633,1.5691123913975173,1.673898168179252,1.2477781821623888,1.3408160543824499,1.600703489038917,1.424913562050213,1.1709193950013272,1.3027951127356088,1.144950199001224,1.1609057612764475,1.1030166408420474,1.0600411380368675,1.070521336325694,0.9510526526434997,0.9543821253705057,0.9720718602356168,1.0347773010448342,0.9936602099619316,1.0150392824813006,1.2266603646867125,1.3051780686448275,1.207768392050232,1.3393983753518326,1.7014751109605422,1.7306497639728444,1.8558077681767278,2.0941276571096847,2.321272989859575,1.9709296951260198,2.094774855547689,1.530948244106829,1.558487667531564,2.3781379707712196,2.2824059744115957,2.4262897208148635,2.3718485840491486,1.4907251270356672,1.27767636873145,0.9182667902611712,0.7373193195847643,0.8550672905759465,0.8153788736604115,0.9191141557844014,1.4741625624321082,0.817004491043619,0.9055563110447794,0.9591906475220794,1.1134064282877714,0.8863173265020753,1.331038461176161,1.812573800064749,1.9394944459848904,3.1511605598350623,3.749988941039634],[1.3147452363440366,0.8637781487505463,1.0179740821433065,0.7007697076871332,0.6824762686939178,0.6551658692542681,0.5081864871953778,0.6794552752672239,0.5235645770296253,0.4937055825341022,0.5302432921839733,0.6587476311616407,0.5381105110985206,0.5141792853367856,0.6429612663073622,0.5938996573842589,0.5763973663451478,0.6369686806568026,0.7210577554735972,0.6702731334529488,0.7002164596441323,0.7304219101694338,0.7983467024216059,0.8452152701753691,0.717312844746186,0.7086946163735035,0.6294940322273888,0.5987820422930445,0.5847490925434052,0.5811480426842496,0.660630351135987,0.7111926487840861,0.8020428299114604,0.753184878189358,0.6836773472289632,0.6111917160080482,0.666621278905783,0.5824217591562966,0.550131517704589,0.5623843708241982,0.6170406679844823,0.6570655213555402,0.6776046313136433,0.630500180181708,0.8792383272244262,1.1376710789841906,0.9385418396216764,0.6549316258783241,1.0125934122857931,1.4144819896262326,0.8830957702073606,1.115566095951932,0.9356483241941521,1.0435652774585464,1.7353678474215262,0.9048192671969476,0.9922873484618276,0.8276696636324736,0.8475062754175772,1.2041548418916048,0.9382441026206436,0.7952645180815683,0.7633847768836798,1.0487929621786092,0.7521525291121252,0.6729893903370311,0.9436646279609848,0.7833408159700362,0.9226461790349518,0.8472772809967984,1.0564392213728304,1.3431371045125848,1.1025659214805328,1.1299725461296457,0.8030435999299731,1.2155104635764846,0.7148559283491468,0.7346544554083365,0.6860872038792093,0.6879641271250285,0.7759794110498082,0.7915935689679233,1.3000583617861223,0.7896640890584194,0.6447323141143976,0.6822099359997301,0.6515881123648569,0.7843277989998033,0.6092905008107484,0.7413427552958978,0.7121879893669358,0.895492774216968,0.770947520009257,0.7532442693586072,0.6946504492240588,0.7408220081483025,0.6909842855785195,0.776537737180188,0.8113175216257695,1.2423483701928288,0.9313978954306765,1.143680141075629,0.890292335689131,1.0017068694004332,0.9429059323164529,0.9223429869063514,1.247680026494127,0.8857002551389268,0.8842296353663244,1.1071309625698913,0.7788750711091275,0.6099265566927206,0.5254368243958798,0.5151708757765211,0.5184781968606007,0.6016113088797145,0.6333117821845435,0.7095314447196255,0.8423474430856056,0.7250004461616821,0.7541521137528941,0.6982422068645033,0.7277726248242103,0.6380025373533852,0.5924765848260485,0.5979353985556864,0.6220158997454821,0.5900058695329101,0.644481730643758,0.7289061965483661,0.6322482999369335,0.7735001264177293,0.6443544439725821,0.8118273172932446,0.6261225550387489,0.6323351572260192,0.7753862492709954,0.604795744198589,0.6254970982329946,0.5533358470095047,0.7724440011031374,0.777425054484056,0.7179490271472417,0.5748196783751098,0.5457454383992257,0.5442952655768759,0.5074134437111634,0.5667602024604844,0.5727408678186311,0.6197855536257021,0.8312448785566642,0.8661501299389334,1.5162147354861606,2.0415900507449645,1.4305641717044553,1.173384237552488,0.8289042635487532,0.9360454604023518,0.734339882750885,0.8241678755817075,0.59756292758682,0.591725431664581,0.5289205154636208,0.5468182849617627,0.577622658704847,0.6174434074825845,0.5983678643458138,0.7414812091921532,0.8425411777542453,0.7998060553846652,0.6122250608502303,0.5520693497759247,0.5918325821704635,0.5983514688306865,0.616007179605296,0.7407806841715946,0.7004883022850095,1.0067580999105983,0.7079553623716974,0.8070296466775346,0.6625752070918518,0.7477274666044416,0.7421421952783733,0.6958507515191282,0.6358368293042376,0.6467480004616253,0.6741358589736482,0.7013057878936556,1.4042087088240325,1.7420343665561846,2.2733331907708663,1.1470931659066606,0.86420830090102,0.9888140113785283,0.7412383602938356,0.6618781843418169,0.7193728990400341,0.6597094054976526,0.683605043478332,0.774453149596882,0.9030184140004573,1.1323824338512727,0.8508946566803198,0.7759268586729364,1.060808143843876,1.0337296298925598,0.8503868642474388,0.872226840245039,1.3282206658234765,0.9080204776926539,0.9131543935605038,1.0936378456937967,1.1842000318181218,0.992674344242077,1.0704524354000466,1.0780407540192205,1.195882139342491,1.125951023696269,0.9544074404413676,1.080172152062339,1.3468825501783892,2.130991672924825,1.3225805497261833,1.9146007719787939,1.4048166730680356,1.5432442724376214,1.6478811956762218,1.537416429059747,1.3238922889875364,1.1369211863934834,1.3491020632067483,1.078362165053857,1.0166812158130558,0.9657021408761145,1.1793416197273245,0.8771321165556333,0.9164270420235283,0.8591223756083334,0.73510741178471,0.9680939552533533,1.1452703826964612,1.430520995768154,1.7993090988576208,2.1830042998752943,2.163619707594722,1.7669702998971433,1.9932284737739638,2.3808553252620275,2.010683484833913,1.7608448573899425,2.2985398168245386,2.395372641929508,1.8430918979935518,2.0459765872892626,2.4286764073265057,2.147386971351522,1.7594492746371353,2.0054693593650734,1.6548926500378043,1.781070493840858,1.7010369716519267,1.6373086986820893,1.5254055242174507,1.1984643521424088,1.2237505354065636,1.1301800304867633,1.0352370345054633,0.8975542926641519,0.9762366775169858,1.0647934119640488,0.9891091550337994,0.8933450179491143,1.0505777410030213,1.3537661668389407,1.3528748919274394,1.4808396298648117,1.7562598924860628,2.006131808142832,1.6883550260508118,1.7443107107049527,1.142847406458205,1.1526924057705668,2.052225298232183,1.9587610179601607,2.1283258562440213,2.0519238372764774,1.12460529204765,0.9416806097973298,0.7023837983181537,0.6727537402575953,0.7691904591868122,0.9567205649003749,1.2240537851083415,1.8105272993217072,0.9118621951291416,1.012012382770493,1.2655627448722209,1.4447606475618315,0.841594416075824,1.1828689259358378,1.4835173280475167,1.640483118497179,2.941805584013825,3.7153666338452127],[1.6585712944168836,1.1760236031146518,1.2620757894267043,0.665759371604121,0.7469670770616121,0.8987676096020479,0.7774214905586372,0.9748299274672546,0.7930168355532222,0.6996263763442074,0.7304660719106226,0.9138575334551586,0.7782005823962955,0.6416755615902646,0.8296396131578365,0.8065152341622387,0.7070010713433241,0.7588868907251544,0.771449916287667,0.7873868529535061,0.7889199911235288,0.9018942834590497,0.8849749725275614,0.8586486809067431,0.8255282605517543,0.799255283820439,0.7566388783810587,0.7154792153829881,0.7618434299550014,0.8131858998065218,0.8315307390828047,0.9586523159346977,1.0195739298032995,0.9590227810694799,0.9275359004253074,0.8140376223934385,0.9228791076252465,0.7938778008569491,0.7670353445666428,0.7970652146101337,0.7973886326525134,0.8294906727327935,0.8540630406732203,0.8303644054007712,0.9745778219495409,1.1899427489358334,1.0714739687242882,0.9136004910154355,1.2074897485100955,1.6742931666775929,1.0451231246069015,1.2459906476317075,1.0875031591258422,1.2417607862411306,1.988621839441481,1.0753237742227872,1.0798307814370154,1.0029651669178812,1.006198581739608,1.1493835163291786,0.842736386679656,0.8710247604442318,0.8503261247924333,1.0176017875265069,0.8488159211372082,0.804311208871095,0.963359213278496,0.8535993324130662,0.9133926999584308,0.8876342389958582,1.036127658434268,1.3204099687361999,1.1270803417108488,1.1539487317398698,0.8753852424273146,1.2552197200517257,0.852531211163302,0.8913495856048719,0.8918711487835124,0.8657125589305439,0.9871873782802519,1.0522328276056327,1.403156389396699,1.0432187376348536,0.9039033175588898,0.9415620977786019,0.8986761269665628,1.039772795443881,0.822625916727319,0.9484701287035681,0.8713526598583796,0.9860867546304596,0.9041504702431604,0.9286168425840585,0.8846450385923139,0.8967598523705778,0.8326247964230036,0.9979928434676854,1.0582376731333636,1.4694095921618613,1.1882333914550447,1.399501126547639,1.164651903812096,1.2843790939983604,1.2141725913400179,1.2080579027461948,1.5165747249799275,1.2062495528020292,1.1995669374517044,1.3818577194502955,1.0940365672858796,0.9206453648220068,0.8193994624902898,0.7103226735914548,0.6838387595296735,0.6452638094485292,0.7378541494036365,0.6461973177619598,0.7631820570736123,0.7249851971655603,0.7197694455777394,0.6699015108631173,0.6604016639411814,0.620598283169722,0.6484509222890166,0.7093406938095256,0.909222939539395,0.8321207251762552,0.9324106420624991,1.0212550846786386,0.8578109227983539,0.9941257922938953,0.8790580210765592,1.0671820838110473,0.8703043135440051,0.8980977579095039,1.080607027845788,0.6917705758750688,0.6597513451815364,0.6224004333062672,0.7069827965621163,0.7105183469595968,0.6991378860878742,0.6071434176016917,0.6786846683356841,0.7378329464183929,0.6887567091960163,0.8081776988190557,0.8643121089207358,0.9277445405891712,1.1379660956793272,1.1625073249491853,1.7363093975400765,2.180685679380408,1.6357284963793823,1.4201248766725842,1.1086000392087445,1.2248546131664884,1.019922091723083,1.1262880845588674,0.8851884990905089,0.8549416168305641,0.7212223938303136,0.7827808380024717,0.741808317957962,0.7981794901730778,0.8006084608254846,0.8957126511920928,0.9877921805319301,0.9555939826964077,0.815825532212794,0.7013137718691862,0.7798310727790982,0.8800159598723918,0.9157661866318625,1.0327105200593962,0.9813897355861962,1.239085911303491,0.9902460232523235,1.0574644171961394,0.9603683922442725,1.0427147384576896,1.0151345703114096,0.979978271240636,0.9000623459939293,0.9146968008603696,0.8758404520070232,0.8590789225061025,1.8927528118132348,2.1234350753771998,2.7111859674826153,1.1456936864050085,1.1570396282247872,1.0939436148192923,0.8726099904302089,0.9278889473571164,1.049452621604244,0.9353365762516092,0.9259591885661616,1.0329861785548375,1.2360358002094378,1.4622289173278202,1.1731207017516396,1.052686700791411,1.3918652085155983,1.3732091569735674,1.039778356557588,1.1272748007589493,1.6488965868840642,1.1899595202984425,1.085448657106685,1.3540604205465232,1.4849786938047294,1.1069396233777078,1.1632278537356167,1.0986899549734326,1.3739480849316663,1.1702490649114143,1.0934698369811853,1.29911337723117,1.6104731872715663,2.167669182566489,1.5696038573963655,2.131903560760562,1.6837436330501498,1.813676877907539,1.9321380629871878,1.812488241348,1.6108911996472914,1.436405150123909,1.636760155323579,1.3664709057274635,1.2482416528384752,1.2306577156627685,1.380809063726974,1.0482261538413276,1.0043012258906472,1.0343321504038336,0.9740416307304147,1.2907007998373112,1.4619364350951105,1.728213301586573,2.081821379885698,2.459668930484564,2.407846314582033,2.06750629305894,2.2718319617608596,2.609852681603827,2.2863737469575103,2.061910043205263,2.563037470284681,2.6614051201915565,2.1480966471728506,2.3262125074524818,2.6981173535597276,2.4555057237708935,2.046740596248719,2.266283014062885,1.9300077068734542,2.059225412417746,1.9992308195345703,1.9271312953322917,1.8019509511259741,1.4952693406082922,1.5201911166364914,1.4074030147699388,1.2856651155969745,1.1511797939774426,1.2244232626177702,1.219669482087762,1.0509803028785145,0.9837634319702463,1.1316463858002566,1.314956653014368,1.240467114275212,1.3016365157123126,1.5498913449313507,1.7353374152077072,1.6147519354713418,1.5230279563131548,1.0506724922825832,1.036298985555338,1.783908260117534,1.6711490687889996,1.8169571403834592,1.7315355096312663,1.0248989586414365,0.872576297275378,0.8933729299483784,0.9660315650666743,1.022199157767086,1.278859607895737,1.54240709343261,2.0528231505591075,1.228430613106201,1.3275757438854947,1.5994604818645821,1.7588889728570403,1.1047245505208976,1.3923850876201993,1.5921641468846932,1.496486079191545,2.7169891783861257,3.6113995722338887],[3.1421819888018305,2.531627331867417,2.325440202595162,2.038656759059853,2.1519426790286436,2.4013812160056647,2.3225069334673685,2.274739898321584,2.1673536047823823,2.1097094402750995,1.9922689576331347,2.043177260087569,2.078551594411604,2.004024052594844,2.038554366596644,2.018334682382061,2.039548044884873,2.04575553474225,2.0593391034414332,2.096616911637829,2.0862184284319283,2.2424573428385632,2.1500008497174803,2.129926859345317,2.218689172737174,2.1914016820225464,2.158173771002852,2.1259519542739618,2.092327431594281,2.0701275819246447,1.9282818337192202,2.026846308563129,1.9316430486445086,1.9142200890538792,2.005432366564244,2.015677229764705,2.1078555368623357,2.1254206500925488,2.172684863908559,2.134972008812485,2.2585031360807455,2.248645572010921,2.198343993803298,2.2729402573902484,2.331310597755267,2.4163255599021545,2.4233530126996023,2.3746208683016126,2.576167308948865,2.991907296608994,2.2976355215134805,2.1836559297800506,2.267607055089607,2.3762566819046333,3.0860638871876724,2.3365362640123037,2.320348791446307,2.121397020020548,2.106711546135771,2.185338715983269,1.8433374321090321,1.963729249145276,1.9295283443818572,1.978689186109802,2.0716781405778093,2.044648099961887,2.0300236439583195,1.9967845385462175,1.9633005748197894,1.9594079032016745,2.0291359773892976,2.0983787085688386,1.9800371032467705,2.0376258240859975,1.9035047578846174,1.9937849045769203,1.9478336740588371,1.900150021556275,1.988421237148085,2.0121831978382243,2.096918862047382,2.2345346006702633,2.2184438200311143,2.2058726629132464,2.23929520339871,2.195670891139424,2.1630430572133683,2.1444973908739526,2.017057797655912,1.9422826865298926,1.910241979477806,1.8401865405648354,1.8110474251288624,1.8430342853779544,1.8894537082143097,1.7824725988098702,1.8106769781550724,1.9427133907055594,2.02600791368475,2.2120964082693093,2.1249370103009655,2.3085614922483138,2.2100426605043153,2.323819089332318,2.311405363922603,2.3314535254808164,2.494970402861566,2.412724486971067,2.4377529453285414,2.5032702956999944,2.3551121854099835,2.3292447905265345,2.279444579538022,2.2196737039127865,2.156383333709639,2.1390513812030987,2.1883688980152542,2.0893660765811886,2.0408623374176904,2.05039180275122,2.046044017068844,2.0436491634611906,2.0779313848546552,2.1102717956789165,2.164088371857256,2.2890626436828403,2.4626057813917877,2.320413045355049,2.359507656943859,2.376945701968869,2.2445665976069047,2.229897576329545,2.278021931679981,2.3580582964660226,2.3415571776263655,2.4384888932959314,2.696786695034882,2.2277159219588625,2.193283091733162,2.202195558541663,2.2020966403693225,2.1622892184918454,2.110367767382923,2.1360754679666787,2.1815623105958255,2.1946670153501247,2.18605626597622,2.2085709243473888,2.2457062285633453,2.2671442661499825,2.316364487848575,2.241492181606824,2.479818784101238,2.644737533229021,2.287557949718251,2.272414902100632,2.1769105364145362,2.275291400953455,2.1873915957121493,2.348018535574723,2.2938809463354293,2.2329968439989054,2.237038277722037,2.249736637704153,2.2344196991437992,2.3616543120926976,2.4164580955078105,2.492674618084569,2.5427136101029344,2.561982916482947,2.4359691730360367,2.2685813227021736,2.2429056055479752,2.3047570415429637,2.2759754656443554,2.2495113708808248,2.1592951879485067,2.2403793636463747,2.2308981890137174,2.2447292325563435,2.2922849534086915,2.3210958170135396,2.310962388807509,2.3517479906073055,2.358259285570813,2.351521509040496,2.2268970951502283,2.2864302265069125,3.455138372283531,3.467753323452969,4.277337014486425,2.3406407098000694,2.6682535396254545,2.3769465987369998,2.2453205786563615,2.3216578163108617,2.5687734793242845,2.282316327428995,2.222007622232743,2.2788473374863103,2.4620227049384362,2.6420529117696705,2.4419714653483,2.2659447331093228,2.514178269650028,2.5408686533532063,2.1745250290324107,2.202597798947732,2.6484715814194084,2.304410673524818,2.057123626724904,2.2658747073765397,2.4702000432641578,2.027424231508427,1.8422697223681879,1.7726302703677312,2.088902301422138,1.8144725689953005,1.9183875943684316,2.1028661246186813,2.461691655601971,2.5854193251534605,2.2352084900326696,2.6780359687262236,2.534742418518742,2.682777996307014,2.873505218722053,2.7546681257426515,2.5772212313841556,2.5079909149267907,2.6852246519710987,2.450458819001648,2.341192385577751,2.3929167717218283,2.4751922914152207,2.1749641734564253,1.977988027667205,2.188576065389512,2.165516158981308,2.541138270211486,2.6360462356156202,2.792401909223033,3.0615767920694164,3.3179556738778393,3.313128644375722,3.0754014309700426,3.1509204501055916,3.401764302038886,3.228681636589963,3.034029917124781,3.35994713086055,3.454933049529655,3.0832359984590934,3.102400770979667,3.360423142247081,3.230247541752155,2.826853800993901,2.9288716425506136,2.701327754804273,2.842221285659248,2.8982309083887334,2.7986105443327274,2.6227047160385992,2.4738080729065035,2.5183414229567314,2.3437048164064564,2.2198675209802134,2.2068296417444935,2.2181433320893924,2.074112052971495,1.9032643608366717,1.913209754147386,1.9113646170079042,1.7802353366225314,1.6807084822122327,1.606223420513135,1.584155712536424,1.5447227738149798,1.9494809403800515,1.5082792119390058,1.6952550123471992,1.682641887518828,1.4911853612386623,1.4912393973167313,1.4963761680458139,1.5187433018499275,1.8220899355096019,1.8736121995151487,2.1717158728747035,2.4471484553279095,2.290440005566662,2.4744493246708674,2.645972875557607,3.0600146336953618,2.4245857692535155,2.412788317529075,2.62424794503803,2.989469250743506,2.3867235577119503,2.260507830569082,2.1740796956622126,2.0650808995352747,2.8796268135775973,3.7110925095881857],[2.6402960992941935,2.100189983858618,1.8952618677435589,1.7863588061740694,1.7982494113654859,1.9676234723501507,1.9320359962995808,1.7525494422694847,1.7860743226800455,1.8692667187864176,1.7545154009635702,1.6551059011654519,1.7609218381923548,1.879270424189457,1.8419558962438307,1.7388421577911817,1.845344112499164,1.8929182189718068,2.02296695263693,1.9507749916313963,2.0152775770382334,2.1138714317480516,2.109782493588225,2.1588208444416197,2.1517544878473958,2.1451839826757255,2.0099018060457703,1.9679846050224579,1.8557084260587196,1.7368992100301575,1.6743646815979627,1.6248229900046298,1.5427872042651347,1.5702871622359376,1.6317394039597655,1.712772914183169,1.6922381474159633,1.8223455058818496,1.8673622734267001,1.7750164334265037,1.9891501880375133,2.0561804007391182,1.9437305485576872,2.0073161592417743,2.1653178186553435,2.25276339844029,2.2142671772235167,2.073366239168007,2.263494333569345,2.6483002760165752,1.9267566497714086,1.8112354654089236,1.8817219981564997,1.9486109230722128,2.6804733290504834,1.9624414471642793,1.982033321503924,1.7834036858054245,1.782613947395945,1.991763031330033,1.626992935834853,1.7452085117670284,1.7118874364409857,1.8657246013740676,1.9406605254733333,1.8543451105576056,1.9741464201573733,1.8899673905776992,1.9779436342450885,1.9399809222556417,2.105841245740045,2.251388557290487,1.991768433847569,2.066259019383531,1.7994860673478954,1.8891544221507413,1.7429935805701322,1.6291603734675169,1.6805649483359455,1.689443958136676,1.6880516668745849,1.8084119553467652,1.8410767231328413,1.7178273023612838,1.807731154725822,1.7713820707626637,1.806017398237774,1.6979183069746362,1.7133208399252962,1.6061885613327973,1.659553036788212,1.6505837613197638,1.6054240383605474,1.580949099287956,1.6333528312865504,1.5773301468234402,1.6272204070026375,1.5620108504791705,1.5828738491665115,1.6894951298313352,1.6045618126023946,1.7314971319512842,1.63137087989363,1.7152360945634477,1.7073861523765073,1.7283335969464766,1.8983501755479621,1.7685448145766176,1.7989951957429817,1.876648615599944,1.761668323992004,1.8049829072718269,1.829504963974546,1.8969966788377572,1.9400467107876191,2.0264010731921527,2.0934112570308834,2.1114441285200036,2.1025276743032424,2.021038115699432,2.1078528120615325,2.0532212869652233,2.15408593517857,2.0673832613869645,2.0133780755076125,2.057045701495508,2.0075226502681853,1.8704749058297678,1.8383387735632333,1.8172283782708452,1.7141725116623787,1.6554471434414972,1.7445270406453426,1.7807160996616218,1.8674353203002825,2.0257294534391734,2.336695595436116,1.9809855932442841,2.059292812323445,2.042146344937023,2.2214837572875563,2.1658581439842575,2.0593941963544387,2.0071283589811535,1.969608817676444,1.9304467723445735,1.9331835945063351,1.8541565298038298,1.7902818740096287,1.796339056818295,1.7212187754368455,1.6534941890774268,1.8955880298336203,2.1773837019032283,1.7933006287762152,1.6977708685905408,1.6339670745339385,1.6934861340636111,1.6699318642214203,1.785289994633884,1.8257156262102365,1.831305637237603,1.9398229754139056,1.8977554256688751,1.9135292798106533,2.1580569116865815,2.111027060937466,2.276074294261568,2.2964308803972204,2.3488527816333136,2.121942293760555,1.9705722004635182,1.8455545233107211,1.8396993234521086,1.785112087657041,1.7050912625900283,1.6639949513812986,1.717836059017548,1.7257279381143804,1.6965408524705816,1.79153309142129,1.7534119919356013,1.7385009241783826,1.798390889912315,1.8715006092544115,1.8856538036397597,1.8327736655807962,1.867143153496954,3.0601753771778935,3.1370868640323897,3.853483423986783,2.046223044103261,2.2673591469607146,1.9692584655372556,1.760648973580736,1.764207868394964,2.0102571356606225,1.6587692713348858,1.61766051461598,1.6503166496398625,1.7405589871322185,1.8897294949884371,1.7694405204665955,1.614438890594707,1.7803754410722945,1.832184757487219,1.5964323478972653,1.5599324237618937,1.9116466868037485,1.685117672460084,1.491877704213011,1.6397426650512008,1.8424563006552261,1.5033186182036387,1.3783384735982376,1.3341235485434257,1.5462689118131476,1.3706193338565247,1.362083675442041,1.486071695513642,1.7055698209123666,2.0880055468422727,1.613331842148606,2.1331804993496055,1.790261043019493,1.8814406708296374,2.059752411936201,1.9498499242127558,1.823176877929492,1.7651916328849269,1.9498964808133705,1.704156232500276,1.680439059554244,1.7355851158034066,1.8224321041915914,1.5724623028463411,1.4196932349884304,1.6003468093263258,1.5377863357890018,1.807273300318996,1.8740267351813265,2.007764524921042,2.2526265990428236,2.4811469484918063,2.4628194670014705,2.276010531214458,2.3151447993567755,2.548314662584353,2.415032970898755,2.219332739068395,2.5192561297923333,2.63340079446418,2.292923353421955,2.299868704829233,2.554909425117475,2.478689943660457,2.092552784847372,2.175599153562866,1.9686510301036813,2.059218636294069,2.0869596001161272,1.992381179434284,1.87469171770203,1.7404552324306004,1.7610351401930433,1.6297866931820144,1.5543765085286885,1.539459365597384,1.532346025265988,1.489767015925757,1.3698902364204602,1.3463250280826027,1.3731734037605388,1.4207596329899894,1.3392222221461298,1.325492200822541,1.4176725729081785,1.4674565944728852,1.7328324395901715,1.3614397767494821,1.3007934848692033,1.3236025551457047,1.4343221223295342,1.389159082377428,1.4349266847555966,1.4201229244114102,1.3848092878790934,1.4363066385146954,1.6164496874037817,1.9607697513440712,1.7354919902294719,1.7930071351020174,1.9129017764810539,2.3331611872262563,1.7841834513108812,1.7626227782674277,1.935245660397289,2.3320255663315708,1.81679604030021,1.7172230201957468,1.8161394791473073,1.687923312679685,2.664780856238202,3.5392232983825727],[3.6296681887214706,3.066849656509355,2.844767838083825,2.5433243402910453,2.670307078643321,2.8578421516315937,2.7591299211753064,2.679564624702409,2.544643681362505,2.4965764322697916,2.3481928703568493,2.395047456017392,2.460994934235822,2.3722113371051017,2.3812052285822554,2.381100092467672,2.414835350352498,2.4098781159214617,2.4213501064733003,2.474061552835243,2.457588152764468,2.6165365615186196,2.522893060388543,2.51796419621316,2.6096931709099542,2.571548648111256,2.5518979983475707,2.5206649038994584,2.4748289655598774,2.457682973896016,2.273342115602153,2.3883275263583483,2.2777309744890246,2.264938165939801,2.3796101049658844,2.391121891902293,2.494994819238425,2.5217275653146443,2.5830067713384524,2.555480069812421,2.6820553668591707,2.6482538888587883,2.583760821884556,2.678056970183747,2.7521009308162223,2.8371195407153373,2.8621178679543893,2.781254574661369,2.9785987372414504,3.4058740825470872,2.737465126451948,2.5751401814011743,2.671702517223506,2.7890625289394113,3.478692483324443,2.745109268150698,2.683148941040533,2.51428656477483,2.5063732958838036,2.539814158162196,2.208708302702361,2.3249203959943303,2.2899799432129173,2.3202267485733192,2.4499941576791064,2.4194939120925976,2.3804419654645357,2.3470321050115115,2.2929231340470344,2.283534985984198,2.345696346169401,2.372267303716502,2.264079277394814,2.3304776037073913,2.2319912912427293,2.279958566303009,2.2991593039329317,2.253691229208942,2.3613016320649525,2.3973506542130787,2.4894654796360345,2.6382347827728365,2.571388486154599,2.6233532835398505,2.6629503497140417,2.6035418618950987,2.5624569980219665,2.5311423952869556,2.3969615460111893,2.302753977962878,2.25645519997917,2.1575300965453548,2.134306680555236,2.1698675796174927,2.2242724097315825,2.0954911328360915,2.1366205327153547,2.272735808015416,2.366006402290593,2.5313856569235926,2.4841272990083367,2.6935590154068794,2.600414437794491,2.738303408500719,2.7436185238137627,2.772216498402919,2.9310684600375607,2.8844670745672616,2.9156759740458207,2.937837934563301,2.8207014127343784,2.7788359356640386,2.716793925455384,2.6630757371790232,2.5683936879014184,2.5620293446272164,2.5947047228926086,2.505624413772901,2.4334392071930595,2.424502331524899,2.4273472198773387,2.431800371006394,2.4921894144289345,2.5329837517054585,2.594504104395817,2.7496761252067143,2.9074623973816185,2.7979257942237368,2.8469863883420983,2.852379555949976,2.740148435408163,2.728519471363046,2.762271223677024,2.8164873014266756,2.8128996491273734,2.905552000599902,3.167020681935861,2.6933625590596706,2.6518539807743435,2.6561486033985187,2.6398946912073926,2.597196274798372,2.5238721389220458,2.567922348890282,2.6070061509260847,2.607219774765262,2.6107613543895867,2.622690377905981,2.672510103868274,2.677284329206051,2.7209795229892784,2.6149488245271226,2.7987226330613244,2.8610668137106705,2.5777832523622664,2.6144262963375193,2.5463838059645303,2.6671168708445534,2.5745352064784357,2.7691536886672528,2.7348306807517115,2.6515488450402196,2.682695283009623,2.686520755284022,2.696915609554595,2.8244734488776513,2.8958894851837944,2.9794016578022022,3.022167584288354,3.031646698822418,2.9134033004831683,2.734286091202888,2.7004097930019886,2.752111208451431,2.7077986729316055,2.6748133644944785,2.5644466537157835,2.6391401126669822,2.6572312215778107,2.673144259318191,2.7358394790800142,2.7680749394523634,2.7668538353166947,2.8123193796532564,2.8197163675036765,2.7923612183496194,2.672057281532399,2.7305499410631517,3.9154873237989185,3.8628377866484316,4.639464917692796,2.8660204420230575,3.157615428951958,2.8466471218340614,2.7435581403081373,2.8090089761996513,3.030144692730832,2.774640884657015,2.731598996742933,2.7935357094030038,2.9708924220073487,3.132994147199438,2.946632257679857,2.7919618031991886,3.036640933862788,3.070261871649041,2.6986884542972738,2.753251952434549,3.1946635683590983,2.8887332346145955,2.6402239976750144,2.8616595787210946,3.0913592472361135,2.6031698896201956,2.4340612943115687,2.3246331166273797,2.6270720858093073,2.3220652405769897,2.468150393795258,2.6429032212549814,2.9450379345047475,2.86765819937757,2.695234185798748,3.1508447076361272,3.0265517577666685,3.1457585927572604,3.3267405082653134,3.1999408469237736,3.0621989079494614,3.0137178778982725,3.1670034836133087,2.9281215089030574,2.842347323643731,2.906965874029094,2.9539827795549423,2.673439367379782,2.463628021385363,2.6764811102946573,2.681022962467755,3.0207759836777,3.1150418253407235,3.2697803274556296,3.5055503053798636,3.7491402426962246,3.7327983549576977,3.519413849992808,3.6089539075632358,3.821026214364064,3.675733726924362,3.512473230268935,3.8263369374360243,3.91693923841805,3.5895087104348065,3.6148969632178445,3.875286648538216,3.7785786675357476,3.3967319411483814,3.4676993872729103,3.245049588645578,3.358462816949994,3.400254548007668,3.28954560833907,3.135159937432307,3.0085483037785186,3.029925561239675,2.860248608564083,2.749564448315333,2.732386558504838,2.728166235832901,2.561561399100167,2.4191549451415355,2.41994106271854,2.4026406751398426,2.244388138569821,2.1593256413735307,2.1047514114040218,2.0355716826516033,1.9579441078394308,2.421295226600707,1.9696178046993795,2.236736312358621,2.2706621261534767,1.9495454985258895,1.9694478928256496,1.9410730952367266,2.0080620016855626,2.3802652357653615,2.4243352173006474,2.6844901735200764,2.9482694705748376,2.7983549545404465,2.9553031004507098,3.1439029004408496,3.4590516763856627,2.897910975317633,2.9477457080156726,3.178558121535921,3.414662716229518,2.9028478214831583,2.903155801039473,2.808255946293278,2.484697036184411,3.0214595362196586,3.8189823321232423],[2.5547252066421686,2.017001238350484,1.9213240930240596,1.2627878278148992,1.4458876105446754,1.6398147439621644,1.5097942507751867,1.6383065318507624,1.3897700648146947,1.2423077792915327,1.1896262016355896,1.3839911468694581,1.307345980374285,1.095729546657852,1.2282441212231843,1.251133083811474,1.168121770144298,1.171995580003664,1.1127572014249263,1.208238210272082,1.159788120393763,1.327084922515999,1.2209670395200727,1.180355805870076,1.264122184979888,1.214026397810209,1.2335956745587833,1.2061203161550687,1.2502069058028333,1.3335432410707704,1.2129200130731803,1.4198293771312869,1.3997069162484765,1.3346143644631576,1.3809091282193404,1.2872710471714108,1.461971525996632,1.3341118942426287,1.3527908228333696,1.380971527845668,1.3976267510369087,1.34437346434001,1.3543171886452006,1.3935200801807335,1.4468916720666654,1.6064503404843946,1.5866441903340998,1.5050003267709142,1.762732876616459,2.2731867523491003,1.608793351755426,1.6673874148401264,1.6100738403302102,1.7622955808859173,2.51616450106436,1.6253896195969604,1.5714645829676488,1.4594243278811327,1.4463877284500242,1.448253857408969,1.1429244258331166,1.2504274977542855,1.2235069920572421,1.249113084259001,1.233419485718988,1.2332675123499468,1.2002185985972815,1.1713142446127456,1.130984491711777,1.1375618913086027,1.2181681895839636,1.408000023027176,1.269931733184909,1.3030843001881274,1.1502306264287654,1.3905541220382214,1.2010774965965278,1.2436270747845704,1.3208825779157511,1.325756632715163,1.4975459917713752,1.6139788703430218,1.768423706905285,1.6158897099298501,1.538038702339782,1.5238686880253058,1.4336716292806742,1.5612160047970425,1.2928754436337366,1.3423654819767787,1.2277618015788505,1.2518550687417171,1.1860580187797731,1.2408089346874023,1.2276856815318238,1.157267416676627,1.1229267184045315,1.3788192150644873,1.4933546630481778,1.8683360559816282,1.6732709973330628,1.963443937715953,1.7540328871740614,1.938413673738078,1.9135279885314957,1.9159079848693539,2.2022326419474414,2.033758223063919,2.0465802190677502,2.1210477770610576,1.879763264703144,1.6886441293822076,1.5461227243424138,1.3862423985582382,1.2587660496414028,1.1672360662589465,1.2349136111368648,1.0406780081478695,1.0441082673758866,1.090083806463662,1.0356713934161175,1.0419039590005719,1.0206425403995016,1.1011137745131274,1.2235174489051714,1.3860650731037127,1.7061719279609353,1.6123888202364756,1.7634864995104342,1.8302246079326214,1.6769111911641033,1.7818786492089471,1.6972112564909223,1.8446910523719995,1.667961008985268,1.6936284875870997,1.9158098181834757,1.346200447804167,1.2248787580359646,1.238279403515488,1.140039336518365,1.1216601254441245,1.1175455658425797,1.1582567487916495,1.2681996640656006,1.3271606166736833,1.3012798384810627,1.4195938757369018,1.5483053581506472,1.585312566053883,1.8112290743078854,1.7583280848330194,2.2267176638360833,2.4488282150848875,1.9914439091831098,1.9206625186468111,1.6608483053742147,1.8374231487985382,1.6147640631796887,1.802163046681957,1.5980914156690544,1.4887150204325785,1.3822663219660405,1.4461485385531747,1.4204357978289326,1.4662609555149406,1.5812479238685704,1.6252478436644502,1.714907236641391,1.6675807532781768,1.6074675222465167,1.4186178635957474,1.492566383724011,1.6056227920033417,1.6153376064416824,1.7069574970109402,1.5855680706686164,1.7981155167192093,1.6405606805005835,1.7324628416569996,1.673387830622169,1.7816549911603168,1.7756561306830623,1.7764590167556782,1.678324593122196,1.6372398376879465,1.5130388519058462,1.5459157738523832,2.6497547361867513,2.7684307451734136,3.455439872684373,1.7204930054178478,1.9966980018464044,1.76168086806919,1.6593186921541678,1.769268665709657,1.9411313698439767,1.8096546522148818,1.7934508260108597,1.8974806429028739,2.199836859311018,2.414951764055113,2.0886944873436977,1.9637750074466405,2.3698580125871094,2.332611033761848,1.8267982525587116,2.0375795967114354,2.6461053642596886,2.116051116656739,1.9087703728544783,2.3062201453835987,2.4659400068664508,1.8398822604044194,1.8512303931852638,1.6627002265579873,2.2140862866382007,1.7158839795241831,1.8707360426455966,2.2063300042691614,2.587584177205126,2.6736704878356963,2.461372572597361,2.941411134989958,2.6631807337905467,2.799219174138571,2.9040745424919248,2.7739214622657133,2.6066547675746623,2.420323137595572,2.5839539238125817,2.3391470561882235,2.1702012996986917,2.1630327877381488,2.2230138567885573,1.892035202625855,1.6996760728231823,1.801683528713885,1.8390747215504157,2.2273529458509103,2.4206147230387938,2.6904992384791386,3.0096789456820314,3.398160892749674,3.302687535937747,2.986432446586363,3.2315579185084267,3.5087448073575143,3.1965168413782075,3.0266026493530003,3.509220448723887,3.578781059225612,3.114792781429236,3.3233814624544475,3.6843515575377777,3.44167002370878,3.0701831974777636,3.292309877493252,2.9429608754371097,3.082885914214283,3.0125645422445615,2.9487139954786157,2.818384814484354,2.490389397167405,2.51280709538673,2.3911588311367202,2.220541904630386,2.0625292842425127,2.148579279976493,2.011130488111137,1.7231946622507426,1.6943254503817502,1.791374941553483,1.668766792749133,1.4938029261104784,1.4020718192670412,1.4812370156666244,1.4503955782103897,1.7871674789344998,1.3453722727210604,1.424060582793327,1.3712510357110086,1.4105818849491283,1.3567437706221797,1.4383357091573794,1.4149630043608383,1.4692855476975417,1.4189209549961588,1.6979700732183682,1.8257012475606438,1.8467875281803985,2.143463758605876,2.460057837467337,2.831719608444013,2.049320464304876,2.2065172174026606,2.521174338174953,2.5618829305994537,1.9448484732555806,2.198547898191661,2.223892420766287,1.918822528015277,2.8174949173025583,3.6916261508344768],[1.381705022478932,1.2252737328233274,1.4808623696155099,0.8615270961197112,0.9202583760079404,0.8887446846090172,0.7509428259742877,0.9839642695091494,0.8143526597689273,0.7263324889174279,0.7796237281811984,0.9382684552261001,0.7919851594629272,0.7159154302208072,0.9138723684289048,0.8431245857165005,0.7321735322140692,0.8122318751585403,0.8365453122629376,0.8299741410341109,0.8523833913969915,0.9492658609762896,0.9351038400424192,0.9164526711684973,0.854009034045168,0.8296859644227653,0.7492946504859616,0.7016554886188658,0.7612504888389169,0.8070101062665178,0.8903788691992034,0.9450052188763227,1.021229498854436,0.9777195716104397,0.929770791981041,0.8324756201797008,0.8867099678654843,0.7760648203801125,0.7380464651711559,0.7482771714076252,0.7573233709886492,0.8263039497172987,0.8265918653822373,0.752918842251619,0.9508297032583153,1.177640154791542,1.0645827334274822,0.8198722459555373,1.1309102733436533,1.6213416616679384,0.9852270800208586,1.275764021555166,1.0024440936552041,1.16179224011104,1.8846664532755164,0.9824813954913131,0.9861412786464288,1.0238216740428616,0.9854158791254511,1.1661945732762877,0.8160539579452817,0.8270246067721801,0.8646969298464494,1.080672666971649,0.9285624453867821,0.8392229985863988,1.0485107986545938,0.9488231592265085,0.9995345454031539,1.0147272740093878,1.163323942230915,1.4509940092624358,1.230336536020883,1.2744380115033562,0.9685502802013864,1.2951052928102078,0.9095245301373123,0.9224171619512775,0.8995434106172033,0.8686816141646085,0.9304727125430781,0.9959731384769267,1.3724777694926062,0.9895296604904934,0.8268025679169263,0.8795106477679008,0.8618782110985721,0.9865764435218971,0.8377806619124978,0.949792839446522,0.9290959180570341,1.0688024003299257,0.9998867236248381,1.002078818081708,0.9590065535031537,1.0111192247207643,0.9364647456135489,1.0179597381934655,1.0573054101278654,1.4260853128238031,1.1486956858426776,1.349980095098056,1.0952031088953718,1.251403116688266,1.2157776634155177,1.2342026096276315,1.5513532789771936,1.2463096102672153,1.2533685322370482,1.4148198518057309,1.1751330797323474,0.9174934358775337,0.8101377039446558,0.7185079040341386,0.6877236048893859,0.6116161044050548,0.727718531280992,0.6173044734136106,0.7867885803675594,0.7591553454732827,0.7683715984674825,0.6989944517435348,0.6168421073799537,0.5673434833116767,0.6183078793025367,0.6561301927488722,0.8435445439421867,0.8656782434365123,0.9895270351018043,1.037743524321777,0.9999992018987676,1.162793823799997,0.9613183811312994,1.0932936159860058,0.8834458785145416,0.8572424615914233,0.9479617884540026,0.6847483289520857,0.6187788322699772,0.576006956004062,0.6729758105715873,0.6818614333194739,0.6496715420221102,0.5763645759885265,0.6384649968065342,0.7093050208397593,0.6630002516782715,0.7963596974579181,0.8470983087387102,0.9135455087958384,1.1406167729614285,1.172907922417196,1.7184026197948077,2.21171267260919,1.651695722193064,1.3841540726134756,1.0832048735104123,1.204189160207698,0.9908588304052777,1.0938535089029788,0.8598261594616795,0.8326722685843685,0.6856064554774822,0.7169346984348169,0.7088377542441244,0.7918082320307479,0.7278103297915172,0.8309245296003177,0.9211227212954164,0.8531972001748906,0.7390021951778379,0.6667418723746994,0.7683497648079751,0.8443741751792362,0.8660556678688534,1.0047349832960046,0.948514649690678,1.1886536183421381,0.9437518332665739,1.0288813782560005,0.942792905443604,1.0343464713799966,1.0251030422868639,0.9670429861860941,0.8614493493389631,0.8141590324688476,0.7996548097342384,0.725677728688527,1.7383256313722866,2.064123868473362,2.508143912089274,1.1173922999036738,1.0958160679809135,1.1838060219978914,0.9996214546843668,1.0212206258997252,1.0209803432086735,1.1042680408236256,1.1585818645623298,1.22559546070982,1.2858438713064888,1.3797317301585679,1.2275311275818706,1.2690511128219946,1.4175475712277794,1.3894417931675946,1.3161199684632123,1.3973802763514578,1.6112826955570514,1.3758503457500781,1.436086560067507,1.556038748686898,1.5915284187725396,1.4468525062578306,1.6077389774408088,1.5776672664324523,1.6929296239325942,1.680760765348629,1.5722334571135648,1.6064509340481814,1.6294023748346054,2.275155851533372,1.8129568451457039,2.2706998524026294,1.7046729426944225,1.7003361952170386,1.7386852984584844,1.6800357199131002,1.6191073180706566,1.483362505033679,1.6045655604929743,1.4726731845220575,1.4938671080133086,1.4081203305319026,1.5117000680094246,1.404744708436631,1.4646312660376957,1.3104013688796716,1.2694411463063076,1.2725213325228752,1.3837931435202144,1.5747493322974766,1.8134600473472045,2.083704727740022,2.0142875657648265,1.8083151147240841,1.9473853005462278,2.1948131947919434,1.975875235919506,1.8040680746887423,2.189341930641145,2.2967778995447534,1.9096511364193356,2.049852006479513,2.3473694126703224,2.213758657585807,1.9212345728793547,2.054810286779224,1.8440314784219611,1.8704324908427337,1.787470187865518,1.753678734511436,1.742919096226702,1.539907908748234,1.5362163016678285,1.5513634517142656,1.5365594525932005,1.4228674681553415,1.4847440880254608,1.6014845228711525,1.5578252382382187,1.4977778920668479,1.661993667748595,1.9025897175601771,1.8440861846898218,1.875997827480397,2.145218300368568,2.2508802344436987,2.0616422185811576,2.0400872553406315,1.5704522009105362,1.4915570546898986,2.1775225403737233,2.1254318296278,2.306952160850668,2.2236103585745193,1.519425521371489,1.2900069753171888,1.1496505521147367,0.9912141524108385,1.1949027240424477,1.3057097253377457,1.4755397618884645,1.9031018411825635,1.3063629706320576,1.4348668267713487,1.5714004125459542,1.5608656159216787,1.167312243566367,1.599965746030966,1.9320007931325418,1.578280121789802,2.629319468404275,3.443290548134857],[1.6052359260242945,1.3034876053801674,1.4427389231534204,0.8362627548423323,0.9447170784280567,1.0426520259115442,0.9463499797289284,1.1252834649764838,0.9801475592899628,0.9013287904005588,0.9328313335652338,1.0891389264674345,0.9573131195831359,0.8749077843434118,1.0492312461681255,0.9906705317634182,0.8906938977728194,0.9477600434094523,0.9548893799377294,0.956316132072689,0.9741255699956874,1.0907673040738068,1.0548442390243982,1.0073019932117222,0.9960998742299726,0.9652706565529693,0.8903858041123397,0.8525473932535025,0.9120540409847815,0.9716637217733889,1.0028373028116813,1.104484631897484,1.1470221494474013,1.1050187503852722,1.0796574744133987,0.9748127477471465,1.0514822036005438,0.9298656281993517,0.8906507965517991,0.8971771861615444,0.9140454278428969,0.975393004181943,0.9695040234131739,0.8991753179741294,1.0653342106166552,1.2720867975946044,1.2104931571827702,0.9896692584789704,1.2875467266564338,1.7932175199973965,1.1255892168919932,1.308509031640994,1.057738573627386,1.2720016253134288,2.026644005768836,1.1240633851195978,1.1010377088651613,1.1481704691612447,1.0945317552472602,1.2330297467784408,0.8890366668029076,0.9297024542255521,0.9730976286736244,1.1303455169583445,1.0317364026370714,0.9621408500636821,1.1242953210519047,1.05016530012803,1.0697017014704928,1.0940296300260228,1.2379807248126684,1.475941736581801,1.26863448210237,1.2999838162875452,1.0462283497512026,1.2869827058423726,1.0153033609170856,1.0313864396374284,1.0355934873860544,0.9979313850126391,1.089504234495182,1.1553985780694234,1.4449805635372446,1.1297971965763696,0.9853076286649436,1.0337066886055881,1.0206282853358042,1.1462669690599911,0.9805969189740809,1.0773627053344415,1.0416190960287446,1.1311423871861574,1.0839336287252967,1.1053092642403497,1.0719726203746793,1.0953730510435717,1.0415820310976862,1.1514277396543668,1.2006172052875828,1.5648569513087633,1.305820047846573,1.5110001758786344,1.2530189543415187,1.396118874612198,1.3433007298526802,1.3546221213290741,1.6645249589300197,1.36398993848346,1.3628846651682656,1.5352658775860015,1.2826864820731791,1.0633992054742607,0.9767734719207817,0.8751897127965742,0.8564952798578318,0.7748647685560435,0.8946429511537538,0.7624846104673797,0.8813567805030962,0.8818338528472344,0.8812208011411018,0.8393310176001539,0.7617008046138527,0.7395037151566027,0.7884405886569755,0.825025950921067,1.0013937675109292,0.9813024674267355,1.0953382445522792,1.1623743385061098,1.0367033940812242,1.1942711282325953,1.0170660061126677,1.1794094781485827,0.97214071578287,0.9965970116457081,1.1516859553909269,0.7683776791940473,0.7409790508675378,0.7464414457639186,0.830898809458812,0.8210194078204573,0.7751582742055011,0.7359109579754894,0.7943399419688412,0.8728465124598452,0.8317204907811917,0.9473809181483737,1.005325605365459,1.0669918836471084,1.2655046920513533,1.2988050839511276,1.8152846911561589,2.237816427052222,1.7518733657412993,1.5281305984753328,1.2403744469844644,1.3428016249926968,1.1458362123373658,1.2324298880413425,1.0023547347018409,0.983722573785877,0.8390435246599169,0.8734710560378421,0.8315038216216143,0.950153169292517,0.9044835313790123,1.0258204956856016,1.0942010187517741,1.0540509512719711,0.8996917440949463,0.7948761050658869,0.8692779898868935,0.9851065441409956,1.0252192100285635,1.1536918365346407,1.1013655719386413,1.3116101815353058,1.0997662404751307,1.1569840710738153,1.073285787273719,1.159684313141648,1.1137737798579213,1.060682923406,0.981764523370012,0.9460849172166729,0.9284602618273181,0.8770090715515665,2.019637722824797,2.2733495127418104,2.750720250730684,1.184366661840217,1.2869074776226461,1.1520268075534363,0.9796859570585634,1.0568153016020099,1.107352295364913,1.114955981394798,1.1462966918994733,1.2445820659351328,1.3948551402167446,1.5681710896813696,1.3455327149506469,1.2918636448102556,1.5567933050824376,1.5531115462987566,1.2525880317725624,1.4174846917207273,1.8391368794866236,1.475358375943046,1.4034236973960466,1.682615398541987,1.8150278846451682,1.3981953273803187,1.522049541294929,1.4028592315918713,1.726216516298808,1.5167448561790224,1.4772263068957883,1.6427247870713786,1.737436143756794,2.2429831819193033,1.8845419447980463,2.360151390084773,1.8627631710695614,1.9058118305342366,1.9651608220339478,1.857721227904455,1.7815418138733008,1.597288392223624,1.7422068520188487,1.5514586030290771,1.5000031144431087,1.4618600735176766,1.5490601459615307,1.3457003308017754,1.3733304139505207,1.263741627992404,1.246958951488506,1.385121421467394,1.5240638842216268,1.7607013869492056,2.0491422077470203,2.3979831720679736,2.3018719818669733,2.0533697454135034,2.252019600136348,2.5126447060065993,2.2630067911531198,2.1007438202513535,2.5498535732712297,2.662163090956754,2.228496457345461,2.405230584802243,2.7649625196140573,2.619042956261836,2.249482662410793,2.4107352555299664,2.1194727262851347,2.1763334615161365,2.0747503581936217,2.022191622081857,1.9838254882842372,1.6980668310105724,1.6862826895057776,1.6581436184846994,1.5842467465865733,1.4250215456565365,1.5127608370698005,1.575146037336379,1.425478044493726,1.3782122763491638,1.568972685680115,1.7568553641548652,1.6173829900697207,1.6117880785193752,1.8970733104189341,1.9775849825462726,1.9135248903399515,1.7166358791338117,1.3169591360589257,1.2298332471183762,1.8236123441591858,1.7897348394195942,1.9877525583826736,1.9001857118313152,1.3077862498723893,1.1287741549823127,1.1194886001666111,1.120873225790229,1.2760233237125014,1.4394382896686329,1.667748029671197,2.058754880891896,1.4248236332468045,1.5665496556339602,1.8208304663443624,1.8415794590817975,1.3244242447347556,1.7041948731546204,1.9605686863722593,1.642151200433207,2.641163873918243,3.6026501459326106],[1.4932983337658952,1.2955953240823475,1.4963801346438217,0.970772790869853,0.9915314262354904,0.9306526442614073,0.8266955999425611,1.026984545958091,0.8963638775183008,0.8278188549927067,0.9228486388788667,1.0892422194158715,0.9236741602786599,0.8297695515397195,1.0626993371496218,1.0105994619340102,0.8662760639849831,0.9486369827627089,0.953547564831679,0.9503023174557507,0.977867263530906,1.062955988645915,1.0416625117018434,0.9941185905955562,0.9411177612199053,0.9131880759758538,0.8462137250470245,0.7968709610701147,0.8779191152592097,0.9380511241747858,1.0715383355534918,1.1198937678511318,1.2286113938834076,1.1989406096938118,1.11097186269597,0.9873705561690597,1.0251477236017317,0.8811940142029384,0.8192244676852598,0.8314157872514246,0.8237852156952384,0.9184184747046257,0.9509790920052958,0.8271903987797182,0.9562172183097803,1.1992031666098053,1.0907373366886342,0.9144704565146206,1.224732597209242,1.6848538050478716,1.0700139834783928,1.3141555034331522,1.031441956479792,1.2007886855699166,1.883451041029522,1.0620547518177144,1.0710667250102697,1.084685923296766,1.0741249149576384,1.2496219521409153,0.972613145804019,1.018453341524813,1.0498968405786526,1.2156967377263843,1.050172866233738,0.9898209806672712,1.163707796349219,1.0922454765826708,1.129048819727507,1.1586226376610986,1.269646509642888,1.5271452834222612,1.3895302939345908,1.3841678638261012,1.14937848276654,1.4015267941462628,1.0894606693624351,1.1627066784815931,1.0939355627708396,0.9954490349454063,1.0643668752617204,1.0864342131215445,1.3899540161865278,1.048580348992165,0.8930273394369508,0.9602131487286376,0.9911828456720602,1.1279776242240216,0.9935371199715113,1.1419804771130504,1.149152998751435,1.3044035073054494,1.2451531940526375,1.2449937120186114,1.1680970958500374,1.2400606334126207,1.1473705166557298,1.2302218138580274,1.2431041701927141,1.5918839268667735,1.3035600428094842,1.431016012667591,1.1979686748674157,1.2891018735372275,1.2255733955862145,1.2266797401486078,1.5414203065347385,1.258601493782234,1.2731967620009494,1.4150174986464727,1.1805819792020753,0.9624946642584055,0.8689783751602389,0.7971172861052233,0.7756296825792385,0.706464819554192,0.798291699603799,0.681591422462388,0.8160153339129166,0.8572216126542865,0.7951219728291484,0.7619609781039697,0.6695817973790863,0.6543374536626421,0.7122327651869745,0.7305534686805073,0.8910400336845845,0.9188446363103149,1.015835070684854,1.0558242841863439,1.0237263626629682,1.133329894426334,0.9871643529785014,1.0974638621881332,0.9350263709096339,0.9202367788859985,1.0510909835555222,0.7998105531520814,0.7693641876405896,0.7012428412815235,0.7843225957794171,0.7763396098858518,0.7423523414995695,0.6797581580809485,0.7162656006417809,0.7882638461328242,0.7471863452411043,0.8627981131878978,0.9199996310063853,0.9826598535317859,1.172062477881371,1.220332107543643,1.7378912526013919,2.1897514686613535,1.7131619410484538,1.4854352602533323,1.1956003850328394,1.2538226553671177,1.0842015321667542,1.1254914686589361,0.9121155944746263,0.9000836878702088,0.7630489987088077,0.7966770974524211,0.769304643263696,0.9014049539723807,0.8360859433234509,0.9457986677487237,1.0396650938156717,0.9678178691421672,0.8547154782635106,0.7663843994669973,0.8266154014531601,0.9009588655186845,0.9263529619161133,1.0565502150901025,1.029707249888817,1.2448355924784569,1.0127294250704353,1.0649950616116728,0.9931212734224057,1.0540964059733477,1.0320635456294405,0.982828965821663,0.8952379300038575,0.8747677745977971,0.8842894624320021,0.8281731455274197,1.8110071096221028,2.169463351159426,2.590165592338341,1.1446171683890687,1.1797294086452639,1.204966451273505,1.0171619837390924,1.0902689026317192,1.1074469117572485,1.156493936093087,1.204292206456841,1.201610853914657,1.3360796150831167,1.4544919430750876,1.2538910512026202,1.3001642153977782,1.4976166500060588,1.4640890249304561,1.3371031057746703,1.4492630817850767,1.7544585365604142,1.430810819536999,1.4724820751805834,1.6722977165139228,1.7232448730551866,1.4870241788100491,1.6631536789682875,1.6196326290730687,1.8229470900665747,1.8015792153260137,1.6468960383430942,1.7363261909665584,1.8076343778452804,2.4311716963695793,1.9671147729588978,2.3163953243048647,1.850778753522685,1.8747410323661893,1.9095346610333601,1.8189141660356567,1.7787670405059142,1.5705507069068534,1.6680430104834556,1.5538408011710412,1.5488351657372206,1.4577069229573496,1.567101394841216,1.4854103964837169,1.5776101069226593,1.4088228964834049,1.3304914946561488,1.3249931871313152,1.444130118083519,1.6739236111160856,1.9522716334990622,2.3237067839630474,2.2348504110170277,1.9500801343548928,2.177132761483154,2.4635658951053183,2.1731841010836006,2.005721491145272,2.4836262045245796,2.588967645047903,2.1202769986781718,2.329204665575169,2.6992903972115654,2.505140892622171,2.1632815032303565,2.34965235979334,2.064085157337047,2.1177412060938146,2.0055674537793218,1.9731678913948112,1.9551328652886573,1.666820907742087,1.6555885459094275,1.6831424659994392,1.6413727760808066,1.497054820154929,1.5833308244809403,1.7405889886641748,1.6551084900434168,1.5944743076171257,1.8030309201369108,2.057276164609934,1.9634241460860025,1.984971220050419,2.337440921779065,2.4459466367326463,2.258211018582708,2.130521272636995,1.614534894992197,1.4837017136978978,2.2242556726820717,2.188390082646928,2.426230949225155,2.301917517800626,1.557505716068155,1.3019988789378059,1.1702092097203272,1.0540710732506857,1.2241407428909106,1.319229766293822,1.5342137647266025,2.003642111467517,1.3087904709143858,1.4551427468898153,1.6519327056305508,1.7030738945351653,1.2019405729119417,1.5527054445798556,1.784728420068386,1.5487104316630644,2.690957863127302,3.6392192513378214],[1.6374825711254106,1.8362448619258351,2.200845062090096,1.970636982841615,1.9893118480612664,1.824013327381706,1.7302540516791036,1.8456846579275459,1.6968469960115304,1.6185115729528703,1.5763715126225764,1.5921601346863294,1.6079124703144247,1.5357511246050692,1.4585622480382738,1.5224799050632483,1.5493952024648339,1.4621481808163854,1.4847248988990116,1.5040848616712756,1.5033845535017216,1.495777779041947,1.5798997148992586,1.6541695577761681,1.551164959563494,1.5329383933272949,1.5821919021117234,1.6099099932247911,1.5590072060187345,1.5966507034010091,1.4675348597712867,1.5966596311255612,1.5695019371225227,1.4849652096442472,1.5585768048171216,1.5348889887988,1.614150634058486,1.56813516029923,1.5943539380276657,1.678196230036705,1.5773132276655983,1.4731167268460463,1.5240075873180612,1.5803157009046456,1.7255654831230105,2.0029975614390594,1.8770035556049518,1.5840620737525664,1.7683895930464426,2.03538376549014,1.8656349583604375,2.260161629292481,1.6838248608409243,1.9697862601731928,2.139462702884847,1.5742846795133678,1.5173719772047878,1.786579485482834,1.74414545322691,1.7506092407709677,1.7885118477717987,1.5692388373645958,1.5112165466470069,1.6566293186701109,1.5217032000651036,1.5175771862258682,1.599405684510994,1.4617604801281119,1.5782242050423645,1.45262203344273,1.5855985227887852,1.7203343293868962,1.555656597680842,1.586854751596153,1.4389077562051227,1.7903749881895847,1.465761132909377,1.3942351449632653,1.4609739263038184,1.5664839488383322,1.6078635962787922,1.7084663342210678,2.1113656532295213,1.813139510885929,1.6809914131447083,1.6707476585277343,1.606085331752461,1.6772267942967052,1.5401830519667319,1.5312669677823194,1.4358608048595587,1.4521545515640177,1.3552690348875287,1.384400500332736,1.41280328383944,1.3590671703846486,1.4653062634620742,1.5058938675134264,1.6025623763583134,1.839013304379726,1.7164682745483186,1.8917510803533812,1.7862459020174393,1.9308357674988343,1.9668642758365154,2.0281631932732447,2.2580015532626763,2.012885596941663,2.0208109482418846,2.1422608126033764,2.0178437526696364,1.8317035783989861,1.7560793547842724,1.781443908960304,1.6710129647117336,1.6845119661743697,1.6336526052501852,1.6566317013164387,1.663373984158638,1.5721512398126332,1.5539133076584435,1.5861607402165234,1.650448005307466,1.6982325190512462,1.7299071174985086,1.723249291086418,1.72685404614023,1.8464598718847895,1.8903082777072622,1.8999998125892106,1.9766814513880464,2.083094785684394,1.910757795144275,1.9389907037481728,1.820981065019893,1.7127429486167907,1.6199139635894049,1.8145534457756782,1.811809377208397,1.7205706757429078,1.7291361882036227,1.7135037790276713,1.7076666139447372,1.6833300201508568,1.6465869137953946,1.6233729476986807,1.6558287291537053,1.7001160204618089,1.7445509692472378,1.7415322824842707,1.8977261913953658,1.8790126395178213,2.262698930239992,2.6374310067009783,2.145721361123181,1.9169829929028461,1.7547109553640363,1.896770784366646,1.7672656668381646,1.8650486567740856,1.7845631934844055,1.7118888209590524,1.709510950144612,1.6883859741569904,1.768901904139395,1.7437612604483719,1.65415539388369,1.647685413666543,1.6867850510368076,1.6313595388378443,1.6670940115079633,1.7558685820079292,1.809740424526515,1.78014171283372,1.757354104005847,1.8317329516629863,1.7995306835812488,1.931822727830416,1.7822005602504476,1.8538730064286373,1.8612439101758722,1.8930962777129325,1.9208564001619601,1.8443943824212365,1.7776965410083163,1.7484031268603941,1.827667924337614,1.7124153206333983,1.919986636938145,2.259304507060248,2.262610760449809,1.9001344795153243,1.7370698306675116,1.9944469370203823,1.9337000014497527,1.9336624372583837,1.853416842090231,2.0082113862906583,2.026851527321295,2.063872937514119,1.9547555661285598,1.966292515516478,1.9537922043469342,1.9938419045640448,1.9894435154563297,1.9796252143060058,2.026855521609625,2.006176826890506,2.0946390526617478,1.9865431861246412,2.022295948118602,2.0605555045794426,2.106687141627802,2.038175190897693,2.06159547733436,2.057130493361037,2.089902226545867,2.1401052655764987,2.087146180314995,2.0412947620229023,2.0193882294085688,2.463906002039535,2.2089295923423866,2.6554195298955747,2.161068040072824,2.1478077290648514,2.1807928725067933,2.1309471972868343,2.0880174894958756,2.029019368334104,2.1237627754330433,2.0535885720246294,2.102213334803525,2.076208992599968,2.1648806351478123,2.1188002808530806,2.2232677622117225,2.149769676865587,2.060178564269727,1.9751396598893487,1.979757861875938,2.0579769360198514,2.2091049540949093,2.4261875374703807,2.3379187461628765,2.2224944453730155,2.326498084203969,2.5123340547638375,2.327821546947293,2.211366944626569,2.529907824885987,2.614717026537651,2.2975842761740903,2.443938866760735,2.7201206219187366,2.589396386501898,2.346022961794773,2.474026228059503,2.2787797219105683,2.2931783372119074,2.206550019034285,2.1814466246790634,2.1768621159179693,2.0376671223284375,2.0361083749305102,2.0460367290238892,2.052711135618649,2.0326820132810552,2.0520931672418987,2.1294420253919073,2.18380337209335,2.1997205549225045,2.285199272716232,2.4880790855882906,2.493577711523156,2.5735576691119,2.800896217342273,2.9170762322984944,2.557828051359335,2.639722881853956,2.2255949624000113,2.201437778868602,2.864246301597405,2.9173305956201965,3.1151415059799494,3.1144987336251306,2.3584762836704396,2.2443728991287037,2.0757082613728355,1.8614659562138995,2.0007041697441545,2.004573569666202,2.0238421024406694,2.192719843733001,2.038887150054442,2.0594970073880274,2.077115421996597,1.9623522355814502,1.8944978903231713,2.1870889533023092,2.6123368326882095,2.190667725087699,3.132360251613595,3.7865384362994043],[1.2979593516961063,1.1907429531660916,1.452304281772031,1.1916954347946511,1.1958388854422535,1.0371974516897358,0.9276434785518357,1.0289641415121176,0.9066577397048462,0.8598215437073468,0.8691093353679448,0.9014817481026565,0.8762124055554003,0.8395988882225853,0.8490114364594968,0.8590164026631762,0.8808868728863072,0.8279187872128311,0.9076634342929208,0.8769588887616526,0.9171086042789173,0.9103786541259857,1.0561995848052403,1.1287287672996529,0.9419937312772687,0.9289050306414509,0.9100619731725763,0.9098560860455822,0.8704206840904519,0.8849263786988038,0.8630288443961229,0.9234549684829876,0.9798659963285671,0.9015410894174037,0.8977229859527127,0.8572675748147528,0.9069125217867062,0.8660495752130121,0.8676474867857523,0.9208107727000158,0.9023826762259672,0.844488196759274,0.8939286656513576,0.9003530449385031,1.0867357459934077,1.3768996377710476,1.2217072443470225,0.8906244559379367,1.1843950294467527,1.5193990890940507,1.150156804363686,1.526216293158969,1.0847875719236937,1.2726498397596815,1.602833922028176,0.9878842406796922,1.041944891590483,1.0775101171204196,1.068061639879037,1.3695463879040248,1.2346704283727257,0.9972310901543825,0.9592830753359958,1.2068644319195019,0.9669821454569935,0.89812521504228,1.115806863482642,0.9472688005829282,1.1049182109506077,0.9789344933539825,1.1672231177309713,1.3927261425208464,1.1721152944698112,1.254878085437394,0.9447805110102426,1.3848306909378112,0.8913687727209804,0.867593882958375,0.8501676040021124,0.9094324475822573,0.9599281719440812,1.0005955299854967,1.537783101944896,1.0445484248511643,0.9301783536350298,0.942161032898063,0.8904304574117805,0.9692935920515336,0.8554885611215272,0.892539151312133,0.8674099787592269,1.0288230339818594,0.9015146608290475,0.8829517679009252,0.8586233218507614,0.8772980029356816,0.8819119340567692,0.9168343779883793,0.9828912900443961,1.3088607705393418,1.0535893913883414,1.2081244992419946,1.0506986623883308,1.2033325749279686,1.1977092565519423,1.2176828338078072,1.4921547425234454,1.2087758805952757,1.2377400652251982,1.3367926741956015,1.1895780208269509,1.0137093040042353,0.9364441357922005,0.9937812116747425,0.9306944172429314,0.9635871925759409,0.9409960491638628,1.0035125970591212,1.090542212508568,0.9560268409423204,0.956131497394776,0.9564778337499371,0.9850292465603546,0.9774198804287507,0.9864217450828988,0.9718021289721623,0.9396523918740107,1.050981025872603,1.0861164677390716,1.0921754192636353,1.1691677716132067,1.2436604916073095,1.1108753284302457,1.1607210405311696,1.0479677459264747,0.978908857954395,0.9883208585798797,1.0682992341396862,1.0829063495330842,0.9881884030606332,1.1088725313504777,1.0923323425220606,1.04159810506234,0.9768250303946268,0.9216345416483761,0.8858561142693289,0.898604627394926,0.9175322261378651,0.9479643363473598,0.952270567051342,1.111350410021603,1.129024120092137,1.6397239742248393,2.1134798315529553,1.5521552734507627,1.2759443166952293,1.038276019452829,1.147259346376903,1.0159146187179655,1.086525877326667,0.9848351227147449,0.9403036382170121,0.9516656642308661,0.9233525635354289,1.0188769808118812,1.0483932436245689,0.9439473362040163,1.0386396676071845,1.1075281155402192,1.0481286610309033,0.9658355514908739,1.0046539683084348,1.026010288179782,0.9646247805757755,0.9527998972569501,1.0341874355515668,1.0231504752931002,1.2198986599046364,0.9956185693999693,1.0864421908087734,1.0232140104139473,1.0870181199477014,1.1178699066281823,1.0450820546862611,0.9976473566761703,0.9744609205897541,1.0580660233374846,0.9821988959046765,1.4065886413739082,1.9007095769693205,2.145811158978502,1.2901915207741443,1.0947507337915057,1.3848836351783227,1.1974548322057843,1.1669866303488883,1.133464272407498,1.2274618689761585,1.2516972318666286,1.24510207986068,1.2037346517264316,1.2630820070419462,1.1683977197870865,1.2323070475537237,1.298389954515056,1.2829060640558019,1.2896425393848971,1.29920793555372,1.5122212471840515,1.282906082861147,1.3330667497175774,1.4548038035060844,1.5086787363329919,1.354715272054592,1.4486581693648366,1.4323349222368091,1.5770887023681472,1.5702425522974413,1.4470243167960695,1.482295108141297,1.5198491043391933,2.2646935380174757,1.676854835183328,2.0222359284114315,1.5954550073646292,1.6154672844708695,1.6629606930707455,1.585201588873426,1.5406811759932943,1.36323471361332,1.455880884612763,1.3639830258432457,1.4150893054878375,1.3458183600534483,1.4812885286055995,1.4371031710542261,1.5678217117180393,1.4776026817491714,1.3241625457040431,1.2339966061656715,1.2709081231073946,1.4360140063948947,1.685928459799125,1.9971690077284299,1.9567831672198603,1.6931086693560948,1.9011935465329668,2.1731081732986715,1.9013865763286015,1.7371493868428052,2.180336987658754,2.282342086872715,1.8371004815376073,2.0487734432289226,2.401250221373352,2.203868334494722,1.8843444699726355,2.0694414356893627,1.7970399837460205,1.8401049436452641,1.7340819616588894,1.70042877023207,1.6788513494296273,1.4204430542632986,1.415947529720516,1.4338986286111357,1.4081404827987325,1.3428799280041859,1.3786782817041714,1.529260256020419,1.5354395254845932,1.5274987017065833,1.651402621095872,1.909109038291026,1.8905860240897603,1.9726844676040236,2.268129782326713,2.4142524050310743,2.0557226784826015,2.0928409974143682,1.5762235735004149,1.5145068271194944,2.2997369115771766,2.329547206728206,2.55938641355466,2.532593215199151,1.6718547971973268,1.48802257478982,1.2780949153434988,1.0806227446748171,1.202696727121747,1.2213858604389316,1.3207809874998464,1.745477672394043,1.2325307941982433,1.3306797790175957,1.4344168234758485,1.4021078598047885,1.135645519772233,1.4996614018004735,1.9015650947134588,1.799172237184235,3.000271118045129,3.7974792591708706],[1.3924896152065827,1.0720460712166549,1.2027910035193983,0.8691653370353839,0.8799684176425582,0.8862575093817081,0.7808535785502522,1.0505011005235831,0.8835848059645873,0.7616709391715194,0.8310788743947354,1.0547535581041414,0.8513324920343215,0.7042362804098793,0.8910653506107677,0.8958124988573524,0.7487622593582148,0.7620688185366403,0.7447695608346429,0.7755563496161296,0.7822271803391693,0.8602838611456455,0.9028787209578641,0.9246608059253809,0.7672670691732895,0.7489463657558829,0.7369710395156873,0.7071460056120951,0.7641047936332451,0.8715211527109475,0.9349484122030365,1.0769219050410574,1.1960780196728493,1.1109838446374674,1.0534080613051597,0.8879593511082121,0.9890823445186813,0.805286540375705,0.754417651430901,0.7893990338789255,0.7655977840376452,0.77179632762938,0.8421231532401764,0.7715596496988033,0.9152201184401532,1.1928363679208167,1.0741932056092316,0.826326047651308,1.135680760051666,1.581869841228437,1.0379307458571219,1.3398768657683588,1.0616033994653329,1.2494435497801282,1.8399565036658079,0.970549068735639,0.9854392680510377,1.0582939500791226,1.0180194502409425,1.1437205211978536,0.9470833941683694,0.8885743526499119,0.9171591484769611,1.10141741010233,0.8736979059970311,0.8301607104500497,1.004902529405534,0.8848177323170792,0.9487379271853525,0.8990430153401369,1.0409997889825715,1.2944452288808972,1.1192388865290308,1.1626044835610791,0.921135424401654,1.3257262752835453,0.9221761789144854,0.9783730948063851,0.9588341277067074,0.920081977997621,1.044554984281308,1.0625357758542857,1.4239024830248883,1.013216097783877,0.8582216086905722,0.9400673478138266,0.9240945485356625,1.0997575879969708,0.88524892401302,1.0416625152733305,0.9646479669595461,1.0971640484188199,1.0206340858630756,1.079495350671389,1.0234215984064918,1.0561678835870103,0.9816914640372528,1.1796923408921394,1.2292630626892724,1.6789466492411225,1.3342637999370337,1.5060610373992867,1.236606003734623,1.3288012872523176,1.2178865207578997,1.2124864346993136,1.4952909508596115,1.1560291671236749,1.1641591536725542,1.4073475664437471,1.1252279877424383,0.9138644172809943,0.8363219755463892,0.7721858007192302,0.7218175734300654,0.6881506896628199,0.7155723717769714,0.7012377652109317,0.7983896786463536,0.7266663425546988,0.6842795881852193,0.6930548639003157,0.6906098461108556,0.6738035419299744,0.7043433226303856,0.6795469068893892,0.7983393883862546,0.8389282719041842,0.9076284451215502,0.9732670977458393,0.874815179286188,0.9894406683486762,0.8450007818185072,1.0192183024138501,0.8096211381977445,0.8101175393292787,0.8640300424044524,0.7307719175361733,0.7727456498535563,0.6806128558138745,0.8310025693767461,0.8063667264076068,0.7378749326715318,0.6623350537561317,0.677008492198843,0.7253488643125552,0.6960456290483026,0.828860702442518,0.8981147215860825,0.9755996079064942,1.2099124237247563,1.2985767994843176,1.8705971327895163,2.4540046364507915,1.9088689898439424,1.5949621067876,1.235702928917949,1.3177598100551888,1.108572750302146,1.1403810985150045,0.8745537569703344,0.8711594362198198,0.7229957372527386,0.7517856356024653,0.7274818942349405,0.8178697956797606,0.7121812685370296,0.8104205216151747,0.874319545774478,0.8261812787648194,0.7259176441760234,0.6958187463374487,0.7656429202157332,0.8541280917606511,0.9014523950030475,1.0545039382330905,1.0457278130019356,1.2659972798914365,0.9957223692326777,1.0527541838209307,0.9677670308336417,1.0178908207816606,0.9736580961834334,0.9036593598773107,0.8306144401643942,0.8227506381599963,0.8668721702497175,0.7716635201330256,1.5728260483602128,2.050832255006086,2.4554046135266683,1.09688749157864,1.026277092099733,1.15407807409392,0.893183759846914,0.8848152328983251,0.9113953141678656,0.9066131150564484,0.9241008002196563,1.004227831293202,1.0867088393577229,1.2939695084881109,1.0607800847643516,1.006265234677259,1.2518091235545585,1.2696635881236267,1.0523631571552559,1.099255923979383,1.5604618095012195,1.182174081739834,1.1119429689989013,1.3528728573512783,1.525145958512167,1.1354964711328306,1.2063316527759789,1.139612152286847,1.3703905963040244,1.257130628411922,1.1467924958676683,1.2510516485868401,1.4353260720402068,2.0388618341469744,1.4711616411305932,2.027203683617862,1.5088465292515634,1.5902227829523146,1.7008126619415365,1.577752142486558,1.4061773069844141,1.2669042993051032,1.4431276335400771,1.2259695749617727,1.2393841192005244,1.150685019373458,1.2815915308684331,1.088594618675126,1.1498115472083512,1.1018498281342561,0.9752678269892588,1.1176728851436957,1.2503827631093647,1.5217908035407013,1.874927952336318,2.252734107055607,2.214185544267696,1.87969372279716,2.090229571754239,2.461627592207088,2.142664272196285,1.9125965606875175,2.450329270824608,2.584587797225949,2.0691776039155063,2.2426979980253794,2.663797486358922,2.4548311275920445,2.0176356536477953,2.2256255685259188,1.8476714078190328,1.9329422284979092,1.8410036597687283,1.7474661807335312,1.6623504298645564,1.3630671270683759,1.355391490638177,1.2821952096577405,1.2129150828272133,1.0952850743102482,1.1501794150168283,1.238339466788691,1.1940910858818379,1.1377061090023062,1.2821649707753944,1.579513667393642,1.5593822095156846,1.6531074999197544,1.991748662367444,2.1791426749472276,1.8271640438241141,1.821788914400034,1.2339564056118377,1.1816859390552725,2.0225100648654926,2.0296982262847902,2.280739498481874,2.217019993466328,1.3074339645665294,1.1061217837117787,0.9461110451887049,0.8849402658195198,1.0378721248766527,1.2245866072344336,1.460564632219308,2.069303942762783,1.224316040180324,1.335925242666623,1.5954935416292328,1.6688261661476638,1.134373061492682,1.476085423857383,1.6813855132155868,1.4929409397364055,2.581261199861117,3.4660665434579343],[2.6049979400316534,2.0749621719752684,1.7688000612707138,1.4631902618758623,1.4159863028712258,1.6000122456154506,1.4752710858896245,1.5156008947988966,1.3849528013838928,1.2861410228884695,1.2516543517113723,1.3752746489248409,1.2740423317631746,1.2159907847204363,1.2812494834844115,1.2683761360611105,1.2380211143559776,1.2810698397812905,1.329841779911617,1.3309865228538234,1.3558286158857937,1.4420222549420707,1.4541135325730694,1.451893866206074,1.4144776913085615,1.3915218971561851,1.342141736899672,1.251443105638164,1.261921865343646,1.2775767136321476,1.2399734770635482,1.3210853389817419,1.2994831849073039,1.2803372820067955,1.2914326284812314,1.2660693022041498,1.3395294370633444,1.2910117940557777,1.3100358188813999,1.2886935051592263,1.4134076025111584,1.418631489142683,1.4386275109608464,1.3638243309320444,1.4367061538912471,1.576878976126343,1.5515369458174892,1.4302558757782537,1.6989226871702274,2.1058381946338556,1.498410216204748,1.507576758953857,1.5946218057157564,1.566169017050493,2.162496513751583,1.5063172786686891,1.5558431499970022,1.409105709175588,1.306282913045249,1.6412024093602873,1.306609039465621,1.249162707195952,1.259835008820513,1.3852787829526387,1.3170953458507086,1.2864256290058982,1.4487214491548872,1.3415828153177969,1.3696585764509874,1.3431147269091206,1.45535524127773,1.602945234532575,1.4704474454738092,1.5341590333930744,1.282137729620478,1.4982620391056112,1.2615613566192734,1.240147609304313,1.2649135300746766,1.2634174521083834,1.3423431425955392,1.4717543853803776,1.533451191864719,1.3762524430986787,1.4134304361267793,1.3621467292399871,1.3530517283780117,1.3885157282675937,1.2538908008187606,1.2708924353483457,1.265622518360425,1.286558692498472,1.2456379272962832,1.2442784247390672,1.2541928776355518,1.2315994261218337,1.2323205964460364,1.3245901192697964,1.3967623594223098,1.6753789819157887,1.4851403277197137,1.6980282721261397,1.5040119422712,1.6030144113684142,1.554886029318121,1.5711147193194466,1.7859389178539644,1.6459912437216047,1.6776166086155213,1.8173445092285074,1.5939094733365375,1.462906143862635,1.4422979483472749,1.3398832755394547,1.2723420659540128,1.2240323821338566,1.249351628241191,1.161934561797605,1.2035992364188706,1.2232420493244267,1.1855676026011412,1.1990504998663354,1.1501734120880274,1.19793526272257,1.264012878301937,1.3525989093148538,1.5800872235397114,1.4636477997370816,1.5201451468989655,1.5333278262124284,1.4188416269962771,1.4613763132771027,1.4289349736328407,1.5381733367427992,1.4414359221877204,1.5149827630126196,1.7490592129286842,1.2914132091139348,1.2904991000197235,1.2609382679309717,1.3200397688051495,1.2838722144644392,1.2013244108493992,1.2112269424398527,1.2630688793078655,1.3026614415056836,1.274407539303156,1.328720303076606,1.3983672219000145,1.4652660831724393,1.6022657588738072,1.5999155041252202,1.9849167747889334,2.5164450853025264,1.925076328267301,1.7181427424039266,1.5098391917741956,1.60352931988264,1.43830299140039,1.5308232694638704,1.3821440931977758,1.3462646995586125,1.2957456220169852,1.3292002165922903,1.2662153649914496,1.4126743552368617,1.4714573683488426,1.5572828801874845,1.5948823664235137,1.5804650403441396,1.4697690260010583,1.2896071247406813,1.3092461092432994,1.401953498803425,1.3933247511796556,1.4336732232719744,1.3791935815662117,1.4814994569963784,1.4053289448216315,1.4396695990404065,1.4233363660227814,1.464138690972539,1.4373460589587266,1.4609947588989458,1.440860902603689,1.4002024924210739,1.3235813419206697,1.3697832900246796,2.137514549477043,2.80425534023051,3.4475170476636574,1.547424060230922,1.8142974063416,1.6534257977539784,1.4309569676817002,1.5055183656169346,1.6518848416310443,1.470605570509202,1.4990516727073342,1.5300084847976596,1.8118171300805221,1.9951289361154287,1.753960388832091,1.7014277963078432,2.0275415714280136,2.0451078753891405,1.7452189308322945,1.8814120535200054,2.367801543876419,2.0387236136592795,1.9148845234941534,2.252963674301347,2.4241900387243933,1.9802070632161128,2.039057727968399,1.8310808222737178,2.2592911362611705,1.7991370183268993,1.83204969049193,2.1066958725282814,2.365137420139731,2.5899219825084048,2.2285199554028914,2.544743024546049,2.2424312933722326,2.309241324832237,2.37424833332715,2.248594389619213,2.165866073823361,1.9985617474503328,2.084888160076705,1.9110790660789698,1.8876797386222852,1.78194320274773,1.7776161027111406,1.6139275926209333,1.5044500382561974,1.5389500734308872,1.5385423996752319,1.774145884392755,1.9251126328156298,2.1849259928129126,2.434618222384091,2.7859886238355505,2.7089775454900167,2.453750613116849,2.6877591070217535,2.9314651451642,2.655042343577774,2.571460138668987,3.0172152702874855,3.114752077725618,2.764385487778863,2.9181109865848383,3.260016761340625,3.1151480336600863,2.8057967261449956,2.9816691399627913,2.6442696943600583,2.6843938997093995,2.574640423000072,2.4969486990134286,2.4746561273417464,2.195324388527901,2.125672870396921,2.090449098771201,2.0016368825825928,1.8038734836136467,1.8632124977274542,1.8881374119463614,1.6312150243707555,1.5224634463650004,1.637960506669938,1.676391641338313,1.509842892812487,1.4610140921217691,1.6292404290985039,1.629982993432182,1.8984255481673333,1.4733969426531974,1.5038624801017169,1.496513034982252,1.3985160007781021,1.4155229449304554,1.5413409760404901,1.551882395739396,1.3625264327284259,1.3155389542229021,1.445194766274136,1.6312316253508146,1.7392593917838632,1.8001105318305852,2.076130698393912,2.518620087148665,1.7757974462551749,2.0000833108080576,2.089691988273698,2.269648592874479,1.889964022758827,1.982299495305494,1.7012057182564224,1.915252929911446,2.910471139588683,3.64888995243529],[1.5346017261323663,1.1494640834105057,1.1652550670028083,0.7369716887683277,0.7419565478516986,0.8315526833399639,0.7346377959221376,0.8271264440054861,0.7336895304952521,0.7424107418620811,0.7818084048609216,0.8605748729301925,0.7808756354695349,0.8123658126347305,0.9464186956155356,0.8737732633564138,0.8696885324990083,0.9807053938768928,1.1120568001601956,1.0428659831350362,1.1373642071090808,1.1915061592331266,1.276225927064891,1.280099550609428,1.1546224404780745,1.1448560424717642,0.9998764720759453,0.8941091281364342,0.8878410212914716,0.8402485087956718,0.9392258135322048,0.9099041244605273,0.9580329618695876,0.9477208427223868,0.9106451537315358,0.8976613114281091,0.8875578405297081,0.8798117038230812,0.8707546773360605,0.8121238252894469,0.9880200408295369,1.083973890980938,1.0938492866651144,0.9984906329613105,1.147792948653608,1.312366254757555,1.240477593918888,1.0451431002818816,1.3306879070308197,1.7290967710325098,1.0700024812185531,1.2575199721954544,1.229657321092164,1.1870879431494725,1.8147653327534783,1.1252511734224058,1.2317405397575993,1.052477580652812,1.019591085539459,1.4140662433392406,1.0930672995030122,1.0510667036251746,1.0543920026146334,1.3317490612237335,1.1247727782514276,1.0234185925526584,1.2793261420899205,1.1349440670731916,1.234924452016244,1.171853340468611,1.3820572625920005,1.6154760075950598,1.3654861582217268,1.450777720985977,1.1093681018572668,1.4526670878107626,1.0329861202773334,0.9929084266050194,0.949877345652806,0.9335784696498738,0.9315501344413807,0.9997669145552576,1.283160210251921,0.869362386509422,0.8826473054070167,0.8640522559463764,0.9298388104787788,0.9676038019639033,0.9007193076840164,0.9438488104531446,0.9824813628226865,1.1157224428014578,1.0210074413982502,0.9771756478183661,0.9515570959940375,0.9873725215203928,0.9434310328604416,0.9494594530064134,0.9641601534589833,1.2647145087955538,1.0100989935553977,1.1505128866883862,0.9659163955209791,1.0414424831886917,0.9979517615533423,0.9952925291066335,1.2877154136610234,0.9852512001947104,1.011811902605214,1.2145028584327235,0.9318937516762865,0.7775459901399114,0.7498058138133388,0.7564027186016581,0.7684358513404927,0.7840957992334202,0.8748645495694087,0.8553454858152836,0.9969834564860691,0.9725411684090978,0.9537073326822246,0.8924829443492899,0.8352760581793417,0.760036587975142,0.7222455737545301,0.751977868695728,0.8198724072074434,0.7583440008867958,0.8055093170684418,0.8608947330139596,0.747399316519492,0.8330546831946384,0.7499896448364217,0.9044540120915466,0.7770420871351768,0.8539316586899046,1.070818511094383,0.7151593600962997,0.7917913008721698,0.7646605706663232,0.9958277621048601,0.9776613915645087,0.8716409422887194,0.7912913711796334,0.8247715770544425,0.8353482426854169,0.7750108451402657,0.7993733383035646,0.7856684685279981,0.8343307012490153,0.9440263447857852,0.9712078414697082,1.5039505330643612,2.0958769910394293,1.4700076677742242,1.1923442949719774,0.9411214502669031,1.0202677963675715,0.8937766595787839,0.938360389291719,0.7824232475197388,0.8202163239189363,0.7748681998067634,0.8104394721813006,0.7456011524814399,0.9170902978982983,0.8828590686190043,1.0256540316389722,1.0491764444409788,1.043751133338831,0.8586574384816428,0.7152096891211939,0.7366285501654826,0.7983435568426658,0.8102239684139839,0.8775995767988453,0.882009936298599,1.0733550830141727,0.8708205818926522,0.8990573733020317,0.8512186921743982,0.8496349999520894,0.8260341977318647,0.8234699285325667,0.8134707492421294,0.8331584406559562,0.8393852961342168,0.8315894839414558,1.7010439616480997,2.295042916809891,2.8721196641442157,1.1146992867964212,1.1667185518962842,1.186104716447312,0.8258731166582575,0.8108854491333379,0.9526808482299771,0.7835894520215857,0.8074594876567935,0.8639961617309356,1.0022864291774924,1.1767890631302498,0.9631524097089943,0.9211598763017034,1.1728970431379195,1.1739317881342275,0.9572245343745199,1.0460269982532242,1.449926133156109,1.1127601092546344,1.0798081269942388,1.3274301767311443,1.430408813654508,1.1118361064470554,1.2195287847884566,1.1139681245862223,1.413937404442786,1.2026456160358683,1.1181226257814465,1.288471909033221,1.4226255814079192,2.150214448694378,1.5091273652082762,1.9133129622545546,1.4632438665206708,1.53628959770673,1.635767116165042,1.5324821322979303,1.4084077329934426,1.2152161609445633,1.368578721012473,1.1547542794478296,1.1532412158979408,1.0621157361262976,1.1975892704044668,0.9883707688413226,1.0120827905669665,0.9837016050883384,0.8573298710040261,1.0376270929361389,1.179258002465325,1.430168166473581,1.7308371953842883,2.0466974605563477,2.025393027674299,1.7339608226171979,1.921192901957511,2.230959145049795,1.9434106382063794,1.7444967194680865,2.1969124708520016,2.298014623448523,1.857871707085234,2.021076770203463,2.3563101861719797,2.1675378117685855,1.8283923328116756,2.0182652455403116,1.733031904718777,1.793237668656996,1.7001701983303086,1.6415930934787295,1.5999663725386404,1.3058078350695224,1.2864234426869807,1.2567903513745236,1.1950182987029359,1.045582288838724,1.1109989071909974,1.2012111051963101,1.0697251535339953,1.0084422153874621,1.1544839816759074,1.4031472564440124,1.3113355578061408,1.3377690262239919,1.648130531623328,1.7550823743148778,1.6392987470545275,1.4532506456697334,1.0323749452660984,0.9789935176400941,1.5598503010742995,1.5693322247016845,1.7849496208408717,1.7585584649790453,1.020660926441261,0.8562548690804697,0.802114817213616,0.8730411511168099,0.9508280986912654,1.059723036284778,1.2685484567712924,1.8060457767298366,1.0490987646675292,1.1731757787406896,1.3086187757374228,1.5135338019544797,1.0282481781649397,1.2770136043843956,1.5603250174292504,1.5348882009959097,2.7889081102056346,3.52104858858657],[1.2351169982506247,1.04284499038738,1.2829426630185428,0.9100571156137803,0.9073541806791193,0.7829828976118007,0.6428662377632978,0.7644755092700354,0.6367204231118382,0.5990228134161331,0.6397174181780897,0.7375777417836367,0.6606391579204005,0.6068436168182333,0.7466369018331825,0.7234848786073079,0.6823415693053198,0.7194214743383107,0.7943503632607282,0.7504246310735755,0.8035641099252965,0.8382017907422876,0.9139532135229027,0.952806613337748,0.7758952648121766,0.7636424558559399,0.7069720550716414,0.6581008585008448,0.6791008729646207,0.6894948717945333,0.7712556899125774,0.8039796035083204,0.8803525234305536,0.8579939055202194,0.7937877235752697,0.7335752071525304,0.7502393957199552,0.691875618095401,0.6615577878247123,0.6917510923390622,0.7267082066967405,0.7394762316894915,0.7724705707571462,0.7081517357599261,0.8895065141219153,1.1621979787974268,0.9869019026078943,0.7371010224044773,1.0953326658370939,1.4362972034813442,0.9406050077865733,1.3076605819816192,1.0029375650935632,1.1546298391437075,1.6503982818919463,0.9480829480350008,1.0198647196695394,0.931320353437894,0.9412185432987139,1.3052823300744398,1.0197615952965957,0.9163509081533967,0.9045038027940758,1.192085682156681,0.9023474584388089,0.8071535998634719,1.0641524677979504,0.8957069916734254,0.9937463145675584,0.9378828930855286,1.1037366422759975,1.3977716424795175,1.178207982130726,1.2347993889217477,0.9380778741949003,1.3621110060407264,0.8723353807304672,0.8751088776813125,0.7980423114757137,0.7822313730440646,0.8225931196515115,0.8356894678648066,1.3535767638741816,0.8674931749808791,0.7240336413854557,0.7341943742954078,0.7572149758777486,0.8368058020200898,0.7362009380094486,0.8199599263428448,0.8477206417269741,1.001692951217472,0.908105655516682,0.8741620485026969,0.8105371219578422,0.8674240625052282,0.7975488684607791,0.8506013623965472,0.864919776836686,1.1930179842496347,0.9290252702862104,1.0684079077893522,0.8900362304836339,0.9927112314874099,0.9755433754914627,0.9919633584249428,1.29014292004806,0.9795052903796212,1.0074866446376871,1.176070119109036,0.9296816085028387,0.7476863414226641,0.669090003137018,0.7064622074368936,0.6448816779305123,0.656673046019625,0.6474590815480205,0.6731276952664619,0.8302361360733302,0.7534646607388964,0.726613044751913,0.6972388974096086,0.6498369444969118,0.6399894156851743,0.6621542703441143,0.6649099545589825,0.6836155375644974,0.7524060206067227,0.8120929232399695,0.8566591175690981,0.8709535986811604,0.9609500227732226,0.8272355783343874,0.8997452402627787,0.773104015260891,0.726053130928158,0.8376780908135921,0.7377461165370298,0.7253385027108342,0.6420304149025527,0.7818652805055224,0.7676726183480918,0.7197368070112748,0.6411758850515933,0.6444894458109274,0.6639507246996721,0.6201922566866686,0.6828679800077836,0.6956969199185419,0.7121518824953456,0.8665579929472884,0.8887280627507188,1.4799188580797231,2.0135582221319193,1.3739534092820058,1.1238770384318457,0.856944608701194,0.9408077760616637,0.8078633098310548,0.8740388387835955,0.7225735413404715,0.7004128803687969,0.6640797250903528,0.6621188168283565,0.7037129309452668,0.757449007635147,0.691648379152614,0.8250166274818483,0.910691597657859,0.8593460070928189,0.7150759210502323,0.6809328602431858,0.708307331147503,0.7056082071396423,0.7083149063461234,0.8096012886110022,0.8039672487023599,1.046060514035954,0.7860246332355637,0.8581045209012005,0.7722959827354752,0.8308366009275148,0.846816635994352,0.7948360349227228,0.7610442898777985,0.7524690303988861,0.7893552291405916,0.7493680919051011,1.4040812842155777,1.8768205126367752,2.3068200779321004,1.1465330009879389,0.9084890001203123,1.1748935854884968,0.9336979234299753,0.8889354190938369,0.8919794955350288,0.9203103058712652,0.9677508144751782,0.9905122810930349,0.9956570165862687,1.0966942906294679,0.9632243114335951,1.0034245798800667,1.1092659716099427,1.0894591680878059,1.0646928201843062,1.0856397378522993,1.2986096461479748,1.0640572943253608,1.1422652924978784,1.2240593982268382,1.2516841221574921,1.1756008072870623,1.3011000733817077,1.3148486619887279,1.3805234902296326,1.3997922054045748,1.2478785987867094,1.2734138799134456,1.3097620670958507,2.2310980427662694,1.4816357825119724,1.8963698348784608,1.4018493634704652,1.463458767891893,1.5420617143570405,1.4845449040681369,1.3340599825660004,1.1951008802751362,1.3413101719314349,1.159347646213478,1.1900560239003857,1.1182686680284202,1.3085402068657608,1.1197504459967689,1.2405280225378232,1.1236917193155977,1.011763249896673,1.0186146648246095,1.152531953341554,1.358376365272727,1.6342664571447905,1.918915760836534,1.9090078614831116,1.622512729908934,1.7818898010757473,2.0922903238604125,1.8062567917794567,1.583552252239642,2.0216304136403784,2.1128139911708064,1.6525753693608174,1.8241809042825399,2.14140672003708,1.9257147128300383,1.6069954427649884,1.7927738082194722,1.5541778481772823,1.6173500732470911,1.5398275151480172,1.5000862414146865,1.4593880164623834,1.2161342101733639,1.2295611783100877,1.2192540133005059,1.2066708948130573,1.1158365513840327,1.1611407265877371,1.3029335556443373,1.2899974491465007,1.2441537990576441,1.3687066169757067,1.6879928934675075,1.6643947353653707,1.7537490361144434,2.0122492249025274,2.1927185428409075,1.8808857409790936,1.9315184596942296,1.3989765391637257,1.3757532393863547,2.1704877594785716,2.1259763835197765,2.31539759733256,2.2711884581444868,1.4168093867626446,1.234410181259454,0.9984047070977778,0.8445302222798224,0.9640697382741773,1.0154442969957245,1.1556406281690628,1.6538470312298295,1.0167143191155992,1.1057271095941734,1.1957444897210396,1.3397708688360863,0.9781022511732984,1.310494920203234,1.6929172033043185,1.7277069931704767,2.9445972286394837,3.653647888467687],[2.025427692409332,1.4987139001092866,1.296169009282534,0.9359540072293916,0.8989095559564287,1.0856771902932028,0.992392360520151,1.0984283636260486,0.9708720029746182,0.8861099009293687,0.8860338388701567,1.0364151006012594,0.9142352806024703,0.8443623077229694,0.97856542333314,0.9479620718860259,0.9028888709463833,0.9591693518938593,1.0117445952336563,1.0059857693621697,1.0458516400294566,1.1301681488297934,1.1396942892351367,1.142365837868026,1.0661582478613658,1.0523915512501445,0.9745582809560351,0.8986287030624415,0.9283993770448916,0.9403510064650119,0.961101236562268,1.0328154638016356,1.062502067314128,1.0235220546832333,1.009338078770802,0.9496362870430665,1.0106846224678596,0.9462233923782291,0.9574570286273323,0.9282305522971446,1.0508894481176003,1.0789113635974004,1.1093593039585592,1.0454247227673525,1.115789483846203,1.2803056633846526,1.2180499629637853,1.1160246607940174,1.4169983113915663,1.8014899783631895,1.1704107579198786,1.3154182019422571,1.3383609670918253,1.3172591224472032,1.939316846229887,1.2093139726932638,1.2891052610143763,1.1401648624537286,1.0714701983835067,1.4086661218126673,1.0636568298538658,1.015000944799966,1.0202895711769941,1.2481249592014432,1.0524368096341963,0.9917964474186861,1.1859611943744983,1.0707284301493694,1.1248203481314023,1.0776634495708235,1.2551350015448959,1.477467795466227,1.2561085210474447,1.3099794727189427,1.0384622675412238,1.3778969115124349,1.0052999526940036,1.0019180205583225,0.9904958410553385,0.9778291891981308,1.043114163408478,1.1265375511788376,1.3661771743981876,1.0360120757635147,1.0404419275075572,1.0102198104936273,1.0243557745662315,1.0859237231911183,0.9426901337134145,1.004260324980371,0.997378854532652,1.0839121830545553,0.9966750968229576,0.9972292957498085,0.9885040298923459,0.9901050262516032,0.9611172364325621,1.0706357674992557,1.1282356325549996,1.4498101210550662,1.2023772059526514,1.3692600043437546,1.1804618256202983,1.2678020423063725,1.2088931252596384,1.2152819311613612,1.4699183188904241,1.2387073106075197,1.2618623217993266,1.4616299278017328,1.1659978442237147,1.03715009462509,1.0002177722102112,0.9196742245190784,0.8699771043902143,0.8265777284920126,0.8755876555387915,0.805128570961179,0.8974637725598815,0.8931873614171518,0.8551699558464816,0.8330301648133654,0.7857738364440009,0.7859215881242125,0.8304802315008512,0.8989606087078138,1.1291714185856783,0.9904696224907402,1.054663829282248,1.1050867552279933,0.9491922002959795,1.020872524016445,0.9879863502494569,1.1363597177345386,1.013862088998487,1.0858679786873044,1.3191043897835433,0.866869037460132,0.8681921241517512,0.849321471409983,0.9757983997096207,0.9492678455136538,0.8601833626693867,0.8176207309554305,0.8798791860777417,0.9266012048199163,0.8788228365091749,0.9629978631570693,1.0033301210626175,1.0705463662490668,1.2136422207608095,1.2293927151858504,1.687474386718825,2.2672526667254993,1.660420138020781,1.4073862085573758,1.172246891270177,1.2492489612382676,1.105520316035605,1.1829309347489774,0.9941081346930868,0.988748014739512,0.90760591181899,0.9499697496749177,0.8908463225292382,1.0228680435487927,1.0446964219335826,1.1408827037474505,1.1972229169899737,1.1884570923097957,1.049339009914309,0.8793929893666779,0.9097564348626134,1.0133660652789427,1.024464060769818,1.0965855136071674,1.0601645353701583,1.2450289845042546,1.0592195272484244,1.097272245044975,1.057520931512251,1.0926476175773427,1.062396050575857,1.0789661799226782,1.053324200379921,1.0462853790162059,0.9715676144972524,1.0232281084332968,1.830209690034607,2.4234415010558523,3.077202211638671,1.1847536747837684,1.36426831921434,1.301429114535231,1.0047884333262345,1.0379748585545685,1.2365962454846358,1.0025214534949316,1.0080448891916327,1.0625401289009007,1.2950521053339596,1.4970434873608305,1.2481562072535453,1.1622700305479936,1.46860265480739,1.4755244223262758,1.2174906189536252,1.28046570898608,1.7412954826378582,1.3849065074172242,1.2712288898156154,1.5451158546697419,1.6910765179047542,1.3143708738749813,1.3357024122661114,1.2215529818822974,1.5856172104679085,1.2591979293925077,1.2291806519384767,1.4587792618431796,1.7395826028636394,2.220438384811803,1.6275749183688006,2.0718618291162127,1.691320874931491,1.7905426174471017,1.8971833032491248,1.7889691022410883,1.6463132589409273,1.4715232943767307,1.6264704221385717,1.4067126617025252,1.3552788039511359,1.2765993210121083,1.404865791718785,1.101910440743341,1.0179302079384838,1.0935903168022358,1.0263263994020244,1.3314246369661766,1.4819646188468822,1.731528271994646,2.0316013475169727,2.347349196252026,2.3332667513866263,2.0298303284716823,2.2075245704077924,2.5189600603639577,2.2286457163115774,2.0508324368188644,2.4946548093043854,2.5865130228837376,2.1725149592079678,2.3129046292860105,2.6354708823816453,2.4437920484575644,2.119881384126227,2.303382455480961,1.9920444270234174,2.072817581376252,1.999467267083773,1.9277095522655394,1.8535615484324792,1.5849354151061208,1.5667528094375074,1.487132177307073,1.395682579682958,1.246151853723245,1.2947947612372142,1.3261952260076728,1.1188104459362411,1.017911724614584,1.1476884761420283,1.2929818564874034,1.1716562690689658,1.1835734648135892,1.406802026205606,1.5027178143680529,1.5441824452902704,1.2562078640729795,1.0421139847625773,0.9945033801036921,1.3226605945353842,1.320264825027975,1.498543998496667,1.4904328699014209,0.9668343187492763,0.8549962481651976,0.9593821173946268,1.1214573432307644,1.2110284357269652,1.3290524093832488,1.5653669384310611,2.147517003656559,1.3050754404024596,1.4255451118835498,1.5488951053948448,1.796503940559861,1.3229939524252157,1.423478075409488,1.4997569880738075,1.701484744635455,2.9046500803990423,3.681951018472685],[2.0596049025819694,1.6151421948627516,1.4289993412920023,1.2813464562455177,1.2397328422674079,1.4012111431085836,1.4106065636480722,1.4006303668399018,1.4119314214884422,1.4678674992815728,1.4721525558472848,1.4769988859752308,1.4728746211311274,1.544022765820964,1.6152268003947214,1.5368007786778275,1.5923234863916298,1.7054178055346336,1.8365923825894768,1.7743533620690781,1.8696198310069003,1.916150665272169,1.9631158811224758,1.9443397582107491,1.899600397675123,1.8937137707633753,1.738926536781746,1.640369398372038,1.61515959867198,1.5214471458058811,1.5894947651034887,1.5042978492496473,1.4841165953667175,1.5156489461594864,1.5192173013822465,1.5687038247271068,1.5235320771064762,1.6042586704656165,1.6239776079219064,1.5452709166648886,1.7387854815519135,1.8370217572873526,1.838838030129977,1.766412148634798,1.8324147799596577,1.8936730341721097,1.8786211755143758,1.8216187736963563,2.030905713249624,2.357225156578291,1.751504097783163,1.7256524801696742,1.9471193501090278,1.759883908881168,2.3290850696146257,1.8095923170369441,1.93639471867539,1.6887302075340322,1.630874820270786,1.9846445953022174,1.670950992914588,1.6770961753803009,1.6894050214087093,1.9203776318904118,1.7946144083827007,1.7097439825155194,1.8958067484622134,1.8102343822954732,1.883862104681243,1.8387115895156307,2.0322620573311,2.211907747399508,1.9697416146905435,2.0520583708484,1.7538348082620547,1.9562230098244136,1.67278160578644,1.615315523385733,1.6038319087518207,1.5946118922785582,1.5615871125847183,1.6474649366332699,1.694399129067386,1.449356520899294,1.5990454191154166,1.5400485407678006,1.62340112086916,1.5573824412516049,1.5765653496922236,1.5463023078112967,1.6119512138754148,1.653066495292719,1.6068995053010404,1.5464586612634448,1.563427323624665,1.5649072347988067,1.5370754372443087,1.521082198088112,1.5072193763505837,1.6122594666095436,1.5011035508082278,1.54767479627298,1.4807769125446129,1.4852838339611278,1.46074468702473,1.4400946999296065,1.597009767158866,1.4349838610201078,1.4385318512005782,1.6079718457853895,1.3827655467515716,1.403554215590026,1.4244561720917908,1.4390028145405471,1.4949256427647504,1.5250939824387966,1.6131013369290548,1.6139406341876923,1.6855469379382757,1.6811073301598307,1.6802810911428732,1.6144525902210607,1.5948474547794464,1.511125571019003,1.4400632347776194,1.4756343133980734,1.5298503669003372,1.3917809425668894,1.3830225686889068,1.4245621938130706,1.2808880561946767,1.2837917172190747,1.3576232901346867,1.4553142353145334,1.4573675534587263,1.5686481843988538,1.7768592510617063,1.442879997040175,1.5169842601594479,1.5431738864734292,1.7382017741795857,1.739326575784693,1.6206167137540732,1.5581307089930734,1.585885997277887,1.578365051727722,1.5294955233813008,1.506429146323779,1.4601157742903528,1.483873863414124,1.4555030454895599,1.4402513550409326,1.7199264474261282,2.231746213001596,1.72873295244379,1.5532282396359136,1.4707749409228148,1.4808166126722453,1.4840188373599152,1.4986660319885303,1.4561151874987084,1.5295880177358037,1.531992416431399,1.5581701117515219,1.5004705010308406,1.6685464530797791,1.645917920751863,1.7514595527093018,1.7455177052357866,1.7738163470074884,1.6112709931962357,1.4739175017664023,1.45905372458881,1.5051875871212064,1.5024341882975818,1.4748262940468868,1.4828095848243164,1.5781984113766196,1.502923503525872,1.4782168315549822,1.5115768946853927,1.4488131872770744,1.4268477944350724,1.4895843225246697,1.5290591933353759,1.5694653005748094,1.531242464977734,1.593303896719567,2.283082870311233,2.9170906668044463,3.594160531844201,1.6355754231783395,1.8611243232224586,1.6915170066747909,1.3865213560768348,1.3550868020627118,1.5611374116899872,1.2466055606188544,1.2094259426452656,1.2429412581813657,1.3755264451424953,1.543346880850657,1.3717650421901844,1.2618138090016182,1.4710267964065984,1.4953739685578376,1.3268498358995757,1.300508363476483,1.6624556605085066,1.394197424295066,1.288224022356155,1.469369662076543,1.6033626068658193,1.3344669853186057,1.3111919064962902,1.2498040150510163,1.522838077200021,1.2959790218420806,1.2356290477139185,1.388344088443972,1.6312177249512745,2.166215128423649,1.5467796672298613,1.9719833189200886,1.6083527273370495,1.7034643025421035,1.8481979649187317,1.743537269489574,1.6152971697705747,1.4716593824715234,1.638375003917334,1.4352587922000453,1.4070302209891827,1.369206155800406,1.5040490100670647,1.2475678435371231,1.160825501263653,1.3069280357243416,1.1877903014404014,1.460341062432862,1.5473670324571203,1.7261485633178948,2.004808861214651,2.2527416104781715,2.2914453742279752,2.017037741785648,2.119629820220067,2.4209509101954576,2.1753076984822566,1.9778882584884834,2.3465261319354727,2.4362799482161814,2.054148337160852,2.1401779106509524,2.419506165405099,2.248846195812931,1.939066078419919,2.089159594340159,1.8354166593194443,1.9169256068415963,1.8861684515481616,1.8132021680345172,1.722066678144057,1.519583111836969,1.5179260847979839,1.4253656223576279,1.3584256735257778,1.2816789406511857,1.294568198660554,1.3248785015900315,1.185677498274912,1.1180525490225661,1.1995413145771583,1.3578622393355628,1.2518855194432732,1.2583090087867714,1.4715150370447134,1.5468318332492814,1.6229414542666651,1.3240307212955211,1.1421139253794603,1.1188631430902929,1.3470886222223286,1.356574601989702,1.5092991837386398,1.5062223409034425,1.0932493636327556,1.0597789339820904,1.1806180225389025,1.4227241080121333,1.3895753966555071,1.4282455058932026,1.575551829793242,2.164045697909187,1.4178987111838572,1.439478206388864,1.499203140956544,1.869116114912047,1.409749771353296,1.3596704890622753,1.4638927573810867,1.661684876931573,2.8927021169209874,3.6610886825760462],[1.2725708291839097,1.1232639776817517,1.3633048188911723,0.9205614203611184,0.924620517384918,0.8389656610742856,0.6861951286062768,0.8146140652755072,0.6476865449012755,0.5702964280154433,0.6154582061124924,0.7074381962348414,0.6378142495706955,0.6310337898772671,0.8126691517075876,0.7423185602751585,0.7141891547309808,0.8417526599053471,0.984972328686573,0.8950137923041305,1.0128905822310108,1.0511824182631702,1.1527006412068714,1.151760528113814,0.9983751718386071,0.9918527366678005,0.8220209182438937,0.7190254510089493,0.7294000179093634,0.7028157628781778,0.8274024696659089,0.7998414455082928,0.8962109863441459,0.869126132929039,0.8001269688702222,0.7656857193330672,0.7462961529831637,0.7288370528461343,0.7091158940239848,0.6838624491445469,0.8231325413069684,0.9014600036921587,0.9203488847112125,0.8540386987153377,1.0219262022116948,1.2062502766609013,1.1032414709541358,0.8831861017523869,1.1831410633531483,1.530239187699213,0.9657431120035364,1.2462816844483329,1.100110764252693,1.1751984806651719,1.7139906558896256,1.0114212328349406,1.099953435699471,0.9980423472588107,0.9900629706016381,1.320262380672934,1.0386275675160612,0.9822671798255387,0.9805278233677874,1.3424934547977518,1.0506208278722737,0.9271780203926723,1.1938297132001543,1.0374041242237986,1.1532744382700908,1.0966372150349113,1.309723781187087,1.624846273494421,1.3564257963098465,1.4428293078166727,1.071135040238588,1.4486093071326385,0.9605422669668229,0.9471630105350445,0.8556300701549941,0.8298958047675279,0.8352181898001224,0.8597207770576739,1.3397835334779045,0.8336810769900145,0.7631948800931929,0.7558004698426286,0.7870737830730244,0.8345766327249285,0.7813657247208973,0.8584391078076259,0.9117903059317756,1.0747194975223615,0.9921561630970269,0.9170130764114149,0.8584152811107084,0.9235843026144757,0.8221508836961963,0.8508127716240441,0.8505758806744149,1.1676926766355402,0.916745715763164,1.0400598815080835,0.8881348856300789,1.0260801969018747,1.0083837365453916,1.037560037374285,1.326545766230854,1.0558814015253755,1.0812314414269317,1.2344976678678719,0.9830612431085459,0.7635439442185886,0.6905648377297561,0.6611955843702638,0.6081255561941338,0.6196533918225654,0.6914719830718181,0.6935457042965815,0.8852973985505951,0.8159209062075429,0.8067403512297184,0.7295780642514691,0.6537890084787084,0.6020615310838654,0.6147607334618208,0.6456685836945382,0.7333746592585245,0.7715340793335008,0.8568596284863247,0.8943809304812225,0.9240853787881703,1.0453507604211114,0.8690568099444663,0.9505126959021877,0.8109244402560533,0.7633759172720705,0.8884647175582806,0.7032259309971756,0.678381330441839,0.6131175062957748,0.8162558097695772,0.8372120024751162,0.7375567816685744,0.6353211332070632,0.6570008621666479,0.6766206682094791,0.6185857302498152,0.6693305069111444,0.6996855160994795,0.7346682895904857,0.9011827222509896,0.9187728339477618,1.5122114693622815,2.0365845812286976,1.3684600309988235,1.1136717972265262,0.8445387268173957,0.9610046386945283,0.7998720831415959,0.8949132695174599,0.7306240160156438,0.711177555631683,0.6475926434021253,0.6793089811663994,0.6613203888927115,0.7460449602370118,0.7271986082415719,0.850889490304799,0.928845519478818,0.886943548442894,0.7508769220781102,0.6597199746775297,0.6965672518881646,0.7020373894192898,0.7143955473791201,0.8139877093852322,0.7814822608106081,1.0402693536677934,0.7808162814865558,0.8661283770326086,0.7727097402023722,0.8547691550117004,0.8793078525094057,0.8241393725575462,0.7513726199533385,0.7450739722394797,0.7634744858126836,0.7650465927210581,1.4457912783009317,1.9755428767364143,2.4562309922758745,1.1241720089111555,0.9824177955416878,1.217010577441341,0.971101850448425,0.9224993569615477,0.9358787815183226,1.0213648861306241,1.0845022187376505,1.1390278197303196,1.1556644676857954,1.2384957902540088,1.1021145438966693,1.183488625035891,1.2791147198285229,1.2336147291781228,1.230248906493377,1.3068822323926856,1.4478867714061914,1.2605315873589222,1.3780777395462793,1.4550895653242955,1.4150719571430388,1.4126564674710491,1.5849612934308654,1.568687864842954,1.6503843222394228,1.6086606024438037,1.509154520338065,1.5387421112268158,1.52344065168955,2.5172236395043117,1.7349037518825128,2.0718663753811124,1.6043218724905632,1.6428128105011293,1.6692286263323581,1.64650528400336,1.5606241641608123,1.3950676817559307,1.4834506233220623,1.373897292785203,1.4096394963416554,1.2841463714094372,1.4179900842118243,1.306271183545605,1.42163748776484,1.2325262586613637,1.168677904752462,1.1547790312217092,1.2789867945352562,1.4870150305032064,1.7282858901260525,1.980811548823976,1.9510839077466584,1.6918745068407102,1.855987424938692,2.1239199163571745,1.8474476649649731,1.6497197666242605,2.017267381602369,2.0824232035382755,1.6903090883331129,1.8632864597653005,2.107797376285099,1.906971009938456,1.691951925651894,1.8512500760861186,1.68857410539965,1.731142994003231,1.6416943623242717,1.6314088921921408,1.6329427153731402,1.4210659837580828,1.4257004087742697,1.454645458981719,1.4507263676035786,1.3350628127609259,1.3998061289391799,1.5424856314806472,1.4965680023153838,1.4388856355348,1.5776263682451503,1.8665479348121345,1.7855438701739335,1.8467711862011047,2.095317516024913,2.232803838967484,1.9940809421209194,2.018650909799705,1.5631719197710585,1.522593711822793,2.198861446142618,2.1504295748130233,2.326619197779898,2.2682143047250403,1.5228282932242063,1.3131472964027102,1.098231039326918,0.911194621336417,1.0579019789969448,1.1275869728663035,1.2720434600240085,1.654517730352201,1.110362791552086,1.2664645518524125,1.3535488702900909,1.3513156329212619,1.1073573493325428,1.564513297685229,1.9748617446745969,1.985487757053816,3.0706626318553663,3.6987754741451484],[1.2208345821600874,1.059351468886488,1.308637163379737,0.9426144913492815,0.9515299765269077,0.8252585047193094,0.6594261158705851,0.7567909127872272,0.6198314860875154,0.5612322912660215,0.598441312025417,0.6880113585474606,0.6181993933396902,0.5609807615132552,0.7305709849795262,0.6837736116947366,0.6495242401715704,0.7107555704923154,0.7838705861900103,0.7485077549508142,0.8211420665054195,0.8727130865547702,0.9322487503589649,0.9402844983381189,0.7627898063384548,0.7650153463516187,0.6597468207319693,0.6106955802401915,0.6512541160424704,0.6560982392229678,0.7647364826917874,0.7555894755174083,0.8617471732673807,0.8526565285578682,0.7710839149819768,0.7160028282642928,0.700370545520177,0.658722605754169,0.6327787050798522,0.6458199371616758,0.6833141861638892,0.7340075209522794,0.7742612733426807,0.6898403002725009,0.8733780654421949,1.07371735299968,0.9028606410247688,0.7313364444069064,1.0561319970951877,1.358140736275619,0.9102263529359962,1.2610800300686602,1.0468438038466203,1.1340717125740596,1.672660073123536,0.9485427996990277,1.0287777420382798,0.9441184934933698,0.9780781424137602,1.2574780887300954,1.014064792841362,0.9153382367669796,0.9330265619939474,1.2456048403614506,0.9282882233672873,0.8077390076113463,1.0953782362515303,0.9303946530245057,1.0121353951154677,0.9661426059824835,1.1491047727346217,1.483355555164086,1.2230608038142485,1.2974614864679195,0.9663938510005455,1.3728133945279022,0.8894522578305615,0.8966453448769596,0.8178678727124448,0.8263178156175911,0.81572658946589,0.8054983252300679,1.3599527568373564,0.86393811799407,0.6998689559065583,0.7044087114540524,0.7323789202924887,0.807803963295543,0.7272140990247824,0.8512435703969699,0.862974339074731,1.0567318027812234,0.9487304416664502,0.8830787167094288,0.804771827189567,0.8669628952722599,0.7843833109843731,0.8236577780068786,0.8224672873590403,1.1281508697940485,0.8888270862120549,1.039698351135293,0.8573418569613344,0.9616609399917239,0.9553774170262999,0.975881309408407,1.2468608302267343,0.9651836981959162,0.9912433538192356,1.1355725580896694,0.9157788877662455,0.7291141128427324,0.6550323862239313,0.6575474756531078,0.6017715710564071,0.6072921800304912,0.6107724746717108,0.6340654264612978,0.770890342112399,0.712823693384129,0.6967611248237459,0.644315083429804,0.6153272760120071,0.5966557227104666,0.6550748673679155,0.6660488085364982,0.7004154588680434,0.7655431409406821,0.8165659771363228,0.8549883730951969,0.8870092666469666,0.9673973010415763,0.8325993520211757,0.9097471600168496,0.7908426681316403,0.7507409891395591,0.8632721596298881,0.7237075667576485,0.6952833296819243,0.6097699577970342,0.7716664692679961,0.7509404235936251,0.6774067329510307,0.6009938729420357,0.5938044212030158,0.6047142564080197,0.5758642092633511,0.622975691863148,0.6648505107682371,0.6848770267221651,0.8325995483215369,0.8518123150874022,1.4290187783010244,1.9767850761372587,1.3004160860775567,1.0643278483414687,0.8058757423978843,0.8935678362675807,0.7748136470419006,0.8296260708763472,0.7039491410295567,0.6679885293334132,0.6238027418141987,0.624421456125794,0.6885784695445827,0.6999191344576524,0.6916365934320827,0.8142727618327911,0.9364625164329805,0.8972814838190672,0.7358469674653982,0.6802592949643392,0.7005329279910008,0.687632903253788,0.6969716212723701,0.8001908888970195,0.7727054012241397,1.0211958539723116,0.7676823056348736,0.8617934214614574,0.7527151481039402,0.8270439531494486,0.8476849133569822,0.7916448480409671,0.7490833616368021,0.7216391129772336,0.7435435665153269,0.7446028379243517,1.3246402927503238,1.7529532422631022,2.217573135637879,1.302839337846955,0.9222007396367395,1.1815167899761223,0.9580741206800018,0.8833189412265261,0.8713811852671002,0.9434884108834483,1.0141060686420982,1.031650470774761,1.000232176608527,1.0543465931502067,0.9683969936540452,1.049719499564867,1.091509158544058,1.058083420129005,1.1638712401184725,1.1496042203017303,1.2064085387119385,1.1167469609343814,1.2632198958962846,1.2374318850191672,1.1980248444942083,1.3262115445255096,1.4667631841210254,1.5083196520757558,1.4497254071086312,1.5416593858461907,1.3626135872368934,1.3299367008770258,1.2794012224272011,2.4481567068489545,1.4502991759188306,1.847400271912736,1.3754926930642721,1.4210269696975164,1.468093590097838,1.4408607375815496,1.3244052222241012,1.1725132120840411,1.3051984698638301,1.1392322659742251,1.172001872556694,1.1104529905142255,1.3477855470722444,1.1600886878629624,1.3290453476451287,1.1990261515825347,1.0854759060909702,1.0186969562143418,1.1382097509681786,1.2945791825673945,1.5594591571621501,1.789976619651564,1.816498114622407,1.5301662076469353,1.6361169643519369,1.9512456973627923,1.6691864487841233,1.4344521299240216,1.7937897838705639,1.8605316084464893,1.4557793315911327,1.59696096855124,1.830508804725043,1.6215560545872418,1.4155503103497762,1.562959748222666,1.4088657735931713,1.4606802888449761,1.3953676452682517,1.3763433681041604,1.3544406216477165,1.1891168095362983,1.2101531668934222,1.2106233887226507,1.2333968320668687,1.1659022035437805,1.2039806458513194,1.3704733100447886,1.392690575106184,1.3363445100400337,1.4436885358894085,1.7848317286178963,1.7769028372937778,1.882231453787213,2.112686980937108,2.3117590159962953,1.9999463610615882,2.089327288225646,1.5782132999286407,1.5826983250503441,2.3277621734518887,2.2486693564251308,2.402457487284372,2.3550012636419986,1.5294092352575865,1.3399624964350725,1.0439193181190332,0.8638850796486475,1.0102087090424823,0.9795841215854919,1.068706537897105,1.530854326496596,0.9845330090102064,1.0857701481722062,1.1393412476918647,1.2187664411616226,1.0191755123888262,1.4594306728776922,1.8576263614165491,1.902380204269369,3.0624855280083665,3.7380076484063878],[1.1517720627101615,0.9293848953426326,1.1725660455634381,0.7791157314082486,0.7889769882706468,0.6723920060232423,0.527051181067812,0.6530682070228648,0.5203457244306683,0.4894950955030706,0.5393218872524278,0.6425406477762599,0.5660934906878132,0.5213808147300683,0.7227218428804568,0.6733630554515725,0.6458096214095806,0.7458235985374655,0.8627858926076993,0.800575526964375,0.898576106755128,0.9440560201209139,1.0028244726786975,1.01837117846143,0.8398901368171585,0.8404310397771704,0.6929971073935214,0.6209265186953885,0.660156468684886,0.640579228570328,0.7743779031217249,0.7293051142146768,0.8315406421086955,0.8370754711858344,0.7523719285578689,0.7133453210833747,0.6866882715246818,0.6598886338099875,0.6416819146423539,0.6425383412969475,0.714646285178054,0.7898316001190689,0.842867871960008,0.7603701009128502,0.894217202305472,1.058186164534522,0.9475417243865311,0.8127102876901354,1.1064564432423345,1.3888541502620388,0.9611279868647231,1.2008426818762974,1.0760432110897764,1.1908963201854363,1.7105314174100192,0.980513424678067,1.0639597581816551,0.9561868137890006,0.9979904018508312,1.230173162461041,1.0164396513073037,0.9342253064183655,0.9392702669205387,1.2891446033999456,0.9986032937525875,0.857903596389513,1.1227066137431523,0.9574940609174054,1.06113061924526,0.9956742148099295,1.1911519160443598,1.5476627498244047,1.2713272588528526,1.360810731763303,1.0036995633137966,1.432874902344875,0.9390408526440761,0.9186901881423409,0.8256232121328461,0.8253028509784232,0.8154053466340319,0.8192907814426316,1.36323170392936,0.8139386718120798,0.6916690105240035,0.7120607301203671,0.7392175693675677,0.7927312951550218,0.7337564889264893,0.8502155213665376,0.8737163053341322,1.0654903418889767,0.9545331788361974,0.8788076842418822,0.7935887993680959,0.8577473578931589,0.7749505382361899,0.7999465009810154,0.7908420122016859,1.0972605024418958,0.8515547246908707,0.9666128300553417,0.8100401854460818,0.8984157709538931,0.8804528967430718,0.8919127189590568,1.1543372714865272,0.8534782861209023,0.8673899660465454,1.049558124786531,0.7831346377365538,0.60276819081169,0.5460222699115801,0.5513074042213111,0.5056194118250728,0.5270698488194351,0.5778240465834997,0.6030646818633109,0.7911908170281032,0.7426405170550461,0.7111060560183401,0.630672452323235,0.5683388445600899,0.5058312912170162,0.5285238402029685,0.5523397457403673,0.579315871380658,0.6374611910048026,0.666019920523478,0.741203012948456,0.7229423447780867,0.8097068210347099,0.6854510127836608,0.8065294011959385,0.6741676635302599,0.654952107333941,0.7881236837877496,0.6012546532208403,0.5690306859845157,0.505238349492526,0.7046810727081905,0.7250218220500362,0.6355592843388405,0.5305127084073737,0.5484980220506869,0.5821204626494368,0.5126801290486974,0.5734424929409858,0.5883051826011593,0.6078010464435187,0.7314515902594826,0.7851795872927892,1.3745150354865374,1.9600726055832463,1.2977446923727902,1.0126065112277434,0.7451810624250481,0.8165218893016978,0.7203833045270095,0.7630869171251768,0.6295118159281936,0.6131509924302598,0.5495951266653553,0.5796801275210868,0.5923587262252759,0.6231038284811156,0.5937992844221485,0.6955898081291995,0.8050768782695031,0.7824396809434625,0.6308806673293282,0.5650031834914513,0.5949896327889356,0.611660184719223,0.6329721405734072,0.7329287813616219,0.7180277892030271,0.9974420247800819,0.708113859670709,0.8131448044190547,0.6752529460786902,0.7374308222348687,0.7454935448229568,0.6852989508630081,0.6465068543626347,0.6557488663306061,0.7241273159615338,0.7653734443368857,1.3219576956739987,1.7861790781830091,2.3363956071821232,1.302111738050205,0.8765741569555192,1.0826127878130962,0.8234463483275958,0.7428182249861841,0.7800661504913056,0.755517448674925,0.8234123939758384,0.8767239071558524,0.8413425260757924,0.923584276725825,0.8112274524757928,0.871192218730751,0.9313887989149746,0.8968202167059884,1.026402005220636,0.9780057730596239,1.0490191613171946,0.9623720782475657,1.107901802682195,1.0847039471720388,1.0497767110520975,1.1977453096585307,1.3295356600114911,1.3491281174332534,1.3243359282432277,1.3718873732338022,1.196037654740438,1.1674766728582413,1.146085549211127,2.369152538419318,1.319371581060862,1.7725977487571725,1.2378052700393154,1.2995568282091217,1.366106101826039,1.340316659154529,1.1778195125683009,1.0171354526681111,1.1835009399470962,0.9854920790907923,0.9969589688847645,0.9412122730874666,1.2402728046106657,0.9666449356237974,1.1328876082036272,1.0449243539798623,0.8992236219153436,0.8777753652268481,1.0260149017970657,1.200711795954499,1.4769704097049974,1.7101595040634607,1.7649861647567753,1.4330142788557085,1.527175681680375,1.8703065213159606,1.5516276202274764,1.307122106230722,1.6648181389959444,1.7179287927856146,1.314370486168632,1.4513296212303999,1.6711359590400627,1.4518542288043963,1.2686379931447647,1.4209372062260013,1.2670568131182138,1.3177973307039677,1.2547615081069488,1.2415288984283481,1.2104301308072716,1.0335110201379656,1.0555913659923786,1.0469211174235493,1.0697669071458678,0.989965014069738,1.0269739976703482,1.1945754853906798,1.2207176178237757,1.1333244812228775,1.2591264392330288,1.5861263598794528,1.5769262025956132,1.6841432088939525,1.9119135689279096,2.1136483869323897,1.8145217476953335,1.8768188907458636,1.3916063830455923,1.409051790734,2.122249965381844,2.041150840255936,2.1886380475027214,2.1589019897179615,1.3540150652800074,1.1677599400127554,0.8541882456392151,0.7025512497336784,0.841846851794083,0.8582845943978823,0.9686683929139638,1.5186554844504925,0.8564231417060411,0.9654141673289423,1.0558458704374123,1.0925245370905654,0.9043483157207731,1.4604259322732291,1.8870140983872041,1.9053883810156675,3.062658361367327,3.7824806971954468],[1.1108729728085254,0.7926152198711782,0.9716208339153095,0.593518349448038,0.6218824212263606,0.5344675873600199,0.3794195310423755,0.5355036061943927,0.3935765687525267,0.3718398986980551,0.4401601725276502,0.5633359724674948,0.4688740295319694,0.4294993747163798,0.6605019367716882,0.6176155790229072,0.5839222775263836,0.733403721321911,0.8837300515957336,0.8093611922293436,0.9246299561088452,0.9641664130643759,1.0393873219226655,1.0559553603531828,0.875809979945123,0.8726403495350943,0.6915078215829034,0.5887402464624079,0.6232023596740949,0.5757357603925498,0.7366479077823169,0.6837615622545001,0.7988034752146131,0.8064282731604109,0.7142649937056861,0.6759338568809349,0.6319948496080067,0.6221649541064367,0.610428258270318,0.5943772803150494,0.697086644522543,0.7963569108098688,0.8433244200401061,0.7555006177169575,0.899059409330953,1.051150052464765,0.9481858532455893,0.8258399339968981,1.1189867551415096,1.3733988204293175,0.8973645970427753,1.1678793603954076,1.1138790687151743,1.1547576110330642,1.6582436024451697,0.9700850200930203,1.0786701398230043,0.9253157265777688,0.9502920774332654,1.285819408397587,1.0471820961089757,0.9564722071142486,0.9424841736502344,1.3429132930032674,1.0333126917788236,0.8684638910272359,1.1587361388440394,0.9836496872191193,1.0829678063803976,1.0018425518054634,1.2262764961988395,1.5770277963480928,1.2665884532407352,1.3808516453678796,0.996394386651886,1.418680089260582,0.9319427190852455,0.9107947140100335,0.8105519581524397,0.8040040572473995,0.758931264790796,0.7366108192684748,1.3239996134257284,0.7385093640882979,0.6246570918279934,0.6387731905705082,0.6941014424650709,0.7351359792926686,0.7057604945430588,0.8149335076163235,0.856935516294649,1.035888976655243,0.9205787579426381,0.8371132230007949,0.7551545225645899,0.8185714020616457,0.738883971110875,0.7475078067014755,0.7229248979851692,1.055978490963313,0.769207874160764,0.8574040224594253,0.720407260426426,0.7793041163987796,0.7445605458720452,0.7636289244999922,1.0208591750915472,0.6881244576699386,0.6955045847554516,0.9368305273802338,0.6153775092007265,0.46437813679612905,0.40885219959756147,0.4247222477478956,0.40307548549972155,0.4474815062330161,0.5297791631340847,0.5730071246874779,0.7933887882803726,0.7312362339316054,0.6939562122401812,0.5980907771305347,0.5136532143459032,0.3703425355529605,0.3702423280723882,0.40267395690680496,0.4373882166974377,0.4688007569806257,0.4785143245904488,0.5703985006813262,0.5348140055673877,0.6346682472255278,0.5040979394264636,0.6777132922542667,0.5117600811266041,0.5117847699543455,0.6911635285827766,0.45574829226139557,0.4354677522238746,0.43041711941489935,0.690652434542274,0.7335399361569932,0.6223443088345968,0.4697795414363411,0.5027385325284256,0.5234644277433029,0.4287342276686321,0.47184261028643026,0.46972897969811883,0.48621392792652507,0.6190517757184228,0.704713470049415,1.2863962805110638,1.9895492175541172,1.3091927933980998,0.9391692752040345,0.6489831125665785,0.7126708420364419,0.6235912719406674,0.6430979522883902,0.4874524268111338,0.5265343140743475,0.45678028398599196,0.5068573081510225,0.4825770287315577,0.5604610382689666,0.5186975561757532,0.6469357468087236,0.7288566850435513,0.7361603565647471,0.5312418381051472,0.4378506284395521,0.46540717685682825,0.4919685505421419,0.5194461655843966,0.6232378466622932,0.6318033204060535,0.9125245274990826,0.6140639803244587,0.7000482258709287,0.5594377913654535,0.5902610590609998,0.5855226480691315,0.5339332864097288,0.5189882363793844,0.5605198784372821,0.6305522415114433,0.7017613158026513,1.227612339591893,1.8331956072701465,2.4153180605695344,1.210170322474756,0.7825114469157552,1.0076171164772894,0.7015375356429187,0.5813961049266989,0.649192930924581,0.5692003569704399,0.6369725865365085,0.7107340952631364,0.6609361736219025,0.7558703348533429,0.6370829207300799,0.692395831859625,0.7529141694874946,0.7259207625683314,0.8619859884950912,0.7911660804277096,0.8850717865601421,0.7876032420097258,0.930210883706959,0.9154427501866598,0.8935896308442207,1.0362623847009103,1.1567836339785627,1.1637109788967894,1.172949499672965,1.1995648853607883,1.0167693407734775,0.9878233204951092,0.9726478345021544,2.2548419685872205,1.1694712699746834,1.6530234040240896,1.0697508661924262,1.1310355743651674,1.2101788390853252,1.164213259849579,1.000472398555678,0.8296282518180202,1.0099434414492283,0.8098784904661263,0.8609946410548466,0.7615565017217194,1.0891479419896284,0.8025364116836303,0.9675102582828711,0.8979020367178355,0.7176024556090168,0.7113354557738589,0.8664400645047279,1.06002433988573,1.3335368972056347,1.5743510562948457,1.6157242597681896,1.28001787283512,1.3748863522295582,1.7228937668683535,1.4070811177929723,1.1557998116529127,1.5196060237225404,1.5775294312269754,1.1720184575407266,1.3010313088147045,1.5270810419827998,1.3068837874205144,1.120062794223997,1.2713103381194453,1.1104476320026422,1.1519072849015242,1.0923954940892047,1.066469472182906,1.039898130667362,0.8614385293993437,0.8814274391649375,0.8666860201373938,0.8946138481103442,0.8038167970661586,0.8414705534154446,1.0300315378422698,1.0615580929575417,0.9566905668089275,1.0801801017431703,1.4255444751496638,1.4290564756226634,1.535794155194249,1.7556314208714419,1.9557395226275724,1.6645056507953042,1.6932760141226182,1.2112858892078053,1.22769567442942,1.9139643739513756,1.8566390788452851,2.013782679808738,2.0166419604327106,1.2169514926099543,1.0057754851772445,0.6772406776653195,0.5280881950718109,0.6581663409217142,0.704170300774604,0.8501591861726072,1.5174645227961823,0.6984570251668718,0.8265027178809804,0.9673759887671666,0.9633337691625495,0.7884129951617329,1.4216487202191879,1.9316769942610723,1.971047979743882,3.0978528829555714,3.8587534233094662],[1.1602637509368612,0.9361344752103791,1.149207122184633,0.7088204613855725,0.7259413948408067,0.6548932761577024,0.5424840532479069,0.6637528057226724,0.5756194992141624,0.6023823112169853,0.6900025434049218,0.8160121594018711,0.7338900777682875,0.6997616318320969,0.9594628315567637,0.8853091847465729,0.8417794816650062,0.9921100357855784,1.0972022574712117,1.03824485961896,1.1472091302012688,1.1919137548802794,1.2304788095778232,1.210458217542796,1.0650980240472203,1.0641849623789426,0.9102282291259287,0.8180708893355937,0.8787107108223065,0.8413194481059931,1.0341352645984954,0.9511402555384985,1.0707622860200046,1.0979099627591025,1.0051113507772884,0.9758427697774164,0.8898378872932174,0.8759751463264576,0.8312953407979552,0.8156196072426766,0.8902005845281766,1.022356533271384,1.0634362900584975,0.9897095890051206,1.089523381199039,1.1956244130580083,1.1008228939917784,1.03037141822927,1.2520492261496317,1.5112583028776685,1.1461406725957168,1.2501611899991047,1.2272656816205274,1.3646530995749255,1.8382134311921465,1.261603217408111,1.3459797754981897,1.202409380247952,1.262804617767385,1.4102955863826316,1.250553029384939,1.2373614085604958,1.2554937560210906,1.511452755094003,1.240949079772258,1.11408730796352,1.3659536145192688,1.228194933000961,1.2717747503963082,1.254178419747435,1.439650630560309,1.7781259665301359,1.512760470134025,1.5609435754535974,1.2914297445863456,1.6403844374846348,1.227525590540418,1.228946371637288,1.1254261591414936,1.1321472825509866,1.0632820337827347,1.024824214736729,1.4108234993156374,0.9234024920415301,0.8432895020862837,0.882301200668371,0.9699438062874591,1.0187795809697906,1.0055559014427378,1.111753490755548,1.1810457765377789,1.3634119014235742,1.2703921244208438,1.1699021483195906,1.051903517013434,1.1272923469553922,1.0294659456354036,1.0367229116416126,0.9669093048296341,1.213831437757298,1.0091640617653546,1.0657428267192484,0.9495746375498464,0.9469251894054663,0.9302216228533001,0.8981725448288067,1.1706263265545032,0.8323759060246124,0.8396358930625718,1.039046745791866,0.7500404962688239,0.6304387438130036,0.5961651137436292,0.5920453259522082,0.611929974287184,0.6325706420258107,0.7374816629407948,0.7340306457503489,0.9577704159258328,0.9356574662905649,0.8814750157401463,0.7871692411778479,0.6522335391084935,0.5557012016980389,0.5337113955249303,0.5522027479863999,0.6021414858390898,0.6204029090173153,0.6375088309553818,0.7045230804256547,0.6636098410744042,0.7730253319044966,0.6585725343833224,0.8029622519166255,0.6521773667245435,0.636129586303644,0.7631308567016357,0.5907573618895731,0.5620691938527936,0.5681266328522699,0.7566404982275792,0.8380497627289758,0.7871905583009721,0.6480028286955177,0.7154849593744089,0.7397991052669858,0.6603980432262903,0.7043736383942588,0.6725814485013137,0.678400908591075,0.7600993550443798,0.8305584941887263,1.3522165890000135,1.8748843720756296,1.2780970239460099,1.0643070036698214,0.8509684455845137,0.8644506466521502,0.83289042279832,0.8257246415783862,0.7071065414145027,0.75218840335357,0.6542629186347761,0.7210421621737957,0.6786154022884676,0.6957677064700885,0.6419686476732387,0.7117731294479799,0.8010906973619426,0.7995633564927433,0.6353273289702335,0.5934556665741753,0.6562455565421402,0.7105436543621283,0.7687069519229517,0.8385776670094579,0.8556880074724189,1.1518176173483494,0.8624780984154827,0.924237098906286,0.7784792239579316,0.7887632562107787,0.7939553941934007,0.7374188401044771,0.7040105750882234,0.7798231276877492,0.8607354193280594,0.9603020440875282,1.4464819555258122,1.7933460795956486,2.3933099532417326,1.3453921238681255,0.8697822651359954,1.0305836427639192,0.8190112865568832,0.7111980267367635,0.7545482996389667,0.7120405124711057,0.7741288899036062,0.8512297082122859,0.865606884099233,0.9660363196771548,0.8188965583082541,0.8461782125131471,0.9419472110277273,0.8936339645850511,0.9788592499686204,0.9592910266322614,1.049054634588825,0.9626613396934575,1.1257220172049582,1.1087378449741812,1.0604609240742136,1.2588745797445242,1.404853118602029,1.393163010113917,1.3249655408542693,1.3484428062979128,1.1866831159445044,1.175745146323355,1.2123443157452485,2.4210083469024304,1.3842845022318164,1.8599958474328167,1.2943091090457248,1.383094930100623,1.4386212799710738,1.4230570299529588,1.229028878474759,1.064875519486725,1.2613794221446075,1.059781067827292,1.030604156758789,0.968524278941502,1.279895807938822,0.901263377603233,1.021001079057941,0.9551155964993956,0.8423444920676044,0.9110500508509097,1.094010399053477,1.2794211926935593,1.5375182769190048,1.7808854593927819,1.835392709686143,1.4748519912988884,1.5728468557037227,1.9110631652777097,1.5753236556095052,1.3267960202202689,1.6754371749241919,1.6987153128013215,1.299768669738924,1.4572740350136142,1.6573804462332147,1.4059413432797179,1.2742834798720597,1.4396184468659297,1.2910343207821118,1.3584715225046258,1.2931690209440991,1.2965906501892495,1.251956860626741,1.0552461278284113,1.0959951214146944,1.0672699503592986,1.0654903647296312,0.9486471113857826,1.0094035829292274,1.1542495331305247,1.1676311708490692,1.046307688493882,1.1893521550971806,1.5028154956903073,1.504284260862575,1.6133278495719046,1.8237322199788302,2.056473048224636,1.7528277563188768,1.8554754356098753,1.3598710725589715,1.4287137671978238,2.1102594582432723,1.9901855696926052,2.1037343255797545,2.052643435204476,1.2815281545988169,1.1025270057872831,0.7936205085605391,0.6566603169559385,0.8146489287790438,0.8581527059640288,1.0015605500583031,1.524372445959918,0.8397653265224476,0.9705017219716556,1.0748559369373325,1.0627501291075092,0.9231110037333081,1.6058052515133816,1.9563124215441612,2.0182654080869376,3.1141954017903792,3.8675161506522344],[1.0686260575363873,0.9317866441620717,1.2116606997576087,0.8114657899697111,0.8042560610255348,0.6378760267804736,0.4835412126580726,0.6111410696337075,0.4710627328547602,0.46394213820020586,0.534551629541961,0.6426255767849149,0.5630045380198292,0.5095909002291559,0.7493413576431076,0.682238600833732,0.6436327726691827,0.7667300653089262,0.8639791406573525,0.8194342963041995,0.8984457179278685,0.948271257929215,0.9592980461231376,0.9708077287450405,0.833241657167437,0.8365962678276428,0.7074664147502624,0.6191034378627716,0.6674767885839713,0.6292254367922092,0.8131870415755977,0.7515895013161003,0.86825401062034,0.8856993072945192,0.7939283507767059,0.7455885066424689,0.6996530347005694,0.6629798270743007,0.6335780954595482,0.6257758137003998,0.7076361425507086,0.7886190033345931,0.820733115397391,0.7539833255522389,0.8918085787353189,1.0648728175409359,0.9178429175396425,0.8024748279483384,1.0892248655249255,1.397348909671356,0.963487246766798,1.2065151481309675,1.0979969291247986,1.2089862691858881,1.7560826841620565,1.0296857567119513,1.1326179348911558,0.9654833022582696,1.0067154849630702,1.2406167575238658,1.0278451481639297,0.9930169266012929,1.00238674627655,1.3039301833863473,0.9939549987749455,0.87143474582277,1.1408896612790793,1.0038207219359123,1.07432206084788,1.0425039347150973,1.2182198618996583,1.5872511355603265,1.3213745329453341,1.3830982456883958,1.0406850478443974,1.4261489259481293,0.9656570842417135,0.9804835987861232,0.880353031925324,0.8661097360843408,0.8489185310166917,0.8268396433270634,1.3259274382741184,0.8091227582042948,0.6652218788786614,0.6966599811286599,0.7423830656352101,0.8251612049372237,0.7631829082951096,0.8898061716810727,0.9336095139584885,1.1242693850974568,1.0316794812793504,0.9487809621149609,0.8494954760543719,0.9261818225396999,0.8334229609248961,0.8330987339422113,0.8080175217868211,1.0858981588449588,0.8537442906734579,0.9584368771465746,0.8138755453134154,0.8702796371971246,0.8738965539156687,0.859074915478764,1.1452793210296934,0.813338911279038,0.8180743104697874,0.9890419103198833,0.7306471791950683,0.5574328134308405,0.49634393401941185,0.5147804482550221,0.490458064807703,0.50891711313316,0.580485279706905,0.5668291249458378,0.7523591997147977,0.7390303031352965,0.6926771128521484,0.6209747102487847,0.5334078511896105,0.460349301220926,0.5038942769768627,0.5135785848316993,0.5189565688837847,0.5912581412314615,0.6229655792256916,0.6759336031026482,0.6924922629163769,0.8049742088724532,0.6551571605491272,0.7758475308313384,0.6252551135389317,0.5881163750663637,0.6842421769366885,0.5468057014677086,0.5262114961107475,0.46815726988892403,0.6507587079900407,0.6885400063816067,0.6330169108709501,0.5005258357931042,0.538494565345508,0.5695530324543195,0.497236526505047,0.5589274053211474,0.5387327874490043,0.565528235819669,0.6886591178072192,0.7395356221645737,1.3382267662916252,1.8367191030687042,1.1931110032810361,0.9853515719569045,0.7239081028446687,0.7882142109607659,0.6917395472634694,0.7401840584608064,0.5918133043266778,0.6124112810033162,0.5202154684243203,0.5680178218946894,0.5630407940650238,0.5575840485558147,0.5522707278102955,0.6498555224151052,0.7493634973658981,0.7346251542906717,0.5750932164011744,0.5204567662729456,0.5823013316202449,0.6024649320535309,0.6163058846709727,0.7105467529648433,0.7011353598239919,0.994306888533423,0.7066646752077653,0.8126370689724048,0.6664661077333194,0.7137750111948812,0.732649194473078,0.6648334696742874,0.6230198985154883,0.6424143986917391,0.7174756704242252,0.7513452006100834,1.3651563405462412,1.7236485039364924,2.261631041414319,1.341268983976768,0.8028245807211472,0.9908175361165438,0.7822087671150959,0.7320770790726231,0.6919179852958146,0.7333560504955394,0.8194769998236314,0.8592010185112324,0.8150909968951929,0.8729887234206716,0.7904888713562487,0.8742255118495432,0.8963353972693767,0.8585945044046885,1.0640199974891185,1.006468536716811,0.9944405842755818,1.003206053728287,1.205108344552304,1.134254913707325,1.0661104716869128,1.3407985656167558,1.4985257851319795,1.5148690032300425,1.4008175830150724,1.48487676228177,1.287066147335773,1.2085932982242984,1.140896093767948,2.4248568461074544,1.361903093796819,1.804098270273883,1.2149073655964162,1.263497286717678,1.3181519558244907,1.3081054149793359,1.1508175264245495,0.9990985562240925,1.17216627202505,0.9895058242765031,1.0242498337051187,0.9468859556225274,1.2151859689996694,0.958348021937524,1.1384465144254399,1.0068546640014806,0.8957181392913454,0.8417120000266901,1.00024701713763,1.1667388770192437,1.4345478913137797,1.6668775197398629,1.708042588732049,1.3828841228632889,1.4705059090679784,1.8100114116708363,1.4862585368015124,1.2255555140320655,1.5672647793364982,1.6088079358578737,1.2164101595604293,1.3530035538861127,1.5533419153995156,1.3301700445300562,1.2011207680176856,1.3432348160207477,1.216619176279082,1.2490957981529631,1.188043432802264,1.1848103548990212,1.1651513768636246,1.015112565506862,1.03986427030396,1.040075135507215,1.083250369806026,0.9914631650267587,1.028953990040204,1.2179811040303754,1.2784529249115135,1.1563553509616096,1.2946845252962835,1.6416496783264964,1.6555579936751044,1.7881938996517515,2.0135794484723037,2.245198353830383,1.9452253365793926,2.0484831744698666,1.5233985710276468,1.584809948144836,2.3242656009643023,2.1990399435554004,2.3158296411054726,2.248206077245504,1.4199731681401013,1.2287423591151343,0.860323858767548,0.6666925268206452,0.8641123548139245,0.8137095049981652,0.9164504247484033,1.4329391350265022,0.8114625572394609,0.9567207864619396,1.0164694332583908,1.0135518914967905,0.8892807212383195,1.5558739655907872,1.9003376633319753,1.9595246488156102,3.1221573899715236,3.846321725841829],[1.0908772590204991,0.7909279024914334,1.0438716663974925,0.6716533938608849,0.7072409778343125,0.5975941429532466,0.43548284691882383,0.5875487194303761,0.4355300909381471,0.40282625333667677,0.4626711034407201,0.5537340413725814,0.47892605260924453,0.4296513158649422,0.6375655353454933,0.5775292219736503,0.5538299863505954,0.6551942139620752,0.7641955451759059,0.71320295282397,0.7907990608580396,0.8382545362375684,0.8917707408927056,0.9128158694551138,0.7459329609102137,0.75069733477937,0.62062209228679,0.540193003293187,0.5741702403399822,0.5426091874278715,0.684181557038455,0.6530044889925898,0.7459746265323399,0.7363645436907007,0.6596145982436287,0.6182549501532288,0.5991770006737375,0.5645413972574008,0.5461294969241081,0.5354087393053245,0.6203678056404316,0.6898558336751133,0.7200567564699477,0.647478651383624,0.8257019048699481,1.0253729911321783,0.8767508686401814,0.6953045027784815,1.025462198300748,1.3473939387328575,0.8812553969986102,1.1771155142472316,1.0144214550791972,1.110967384908624,1.6575399939930833,0.9142029563415334,1.0237837831264007,0.8748405254861641,0.8866869532853335,1.1960663983572957,0.9532472683344327,0.8563947984276502,0.851140120878678,1.1884729235211917,0.8725274792118868,0.7449257784197502,1.0415987656642804,0.8794677283319908,0.9780560810254293,0.9190552810674809,1.1163189687385864,1.462095901526088,1.1957373518315175,1.2593290635064451,0.8986252785191817,1.3312224088574873,0.820893084063956,0.8074183789021525,0.721871969393156,0.7271048368802143,0.7268144663539294,0.7298194891135065,1.2993247638905125,0.741670415381166,0.5950726398891237,0.6020440622278243,0.6344606502326916,0.7108537888132325,0.6332338300614023,0.7483418086905369,0.7706200187747041,0.9679904181522366,0.8512778479183924,0.7789296174976464,0.7075973282480773,0.7704620531069308,0.7233677036579256,0.7037788326812979,0.7067459726571361,1.037186169396892,0.753899652248205,0.8927644443181083,0.7240629176932858,0.8095595354274916,0.7929736497986148,0.8023194964346865,1.0874818816953624,0.7419643833485303,0.7511884681145444,0.9818918380679706,0.6694081459659942,0.49818199857872664,0.45286942260687746,0.46192080168693506,0.42980342133055544,0.44777758592787925,0.5142722445137016,0.5134283342538087,0.7129031690028742,0.6760972573236949,0.6363914040860355,0.566582663908208,0.47912157723775206,0.40903548694441244,0.4351531647762172,0.44744896160104086,0.46388193101985636,0.5273178868770633,0.54814841681144,0.6215275190204155,0.6107746656500412,0.7182134899801141,0.5698572991092772,0.7125336575560172,0.5538040495145445,0.5328348610488223,0.6671380942747277,0.47753417186914526,0.45735633057378605,0.400812249765275,0.6109382575389948,0.6390256289596299,0.569252434590601,0.43133079172450617,0.46850514805914867,0.5006230036540605,0.4234220039071075,0.48953769356380905,0.49476063305829443,0.5173369020496449,0.6506670621791456,0.7184121116587667,1.2986223063922342,1.9569612571342794,1.2601497544278195,0.9404828970533896,0.6553041571944885,0.7436593788276548,0.6282572314731883,0.67682408072385,0.5249168332149617,0.5364760985480026,0.4552077367975415,0.4877460346275276,0.5046473530271081,0.5287529035859047,0.4965905508755409,0.6160501875100304,0.7206335688814397,0.7076638864318354,0.5148582396488007,0.4519669404958591,0.5019065245875898,0.5115717918497429,0.5313746148110132,0.6455384604187715,0.6414428738079473,0.9348828109095362,0.630173375412148,0.7424343324523582,0.5847947804597586,0.6322796841978975,0.6376625672465008,0.5787214144154703,0.545604157681502,0.5724374619466934,0.6593510357961596,0.6744009449833723,1.2876161949064557,1.7452458384842096,2.2882437347855498,1.2571465652843195,0.7777576626476778,1.015445588906274,0.7427681955665402,0.6373908133875175,0.6651568732390842,0.6405594299871123,0.7100825663715206,0.7783176311896943,0.7065962103898462,0.7886576538093947,0.6921286242691345,0.7452989361761239,0.785081584995053,0.7561272951064435,0.9145945690285701,0.8421606051662344,0.903155718668478,0.8334526587883567,0.9919072580103502,0.951052324374806,0.9184438856967158,1.101541382953077,1.2185009270042,1.243823485392628,1.2015145231593258,1.2514231519351846,1.070276887971886,1.0154307028373586,1.0066491941000495,2.2625835926143867,1.1725699874840514,1.6664830260536154,1.0871596176863212,1.144326546716465,1.2110775482556029,1.172804743902118,1.0250266629178446,0.8725106444664639,1.0573452815228601,0.8522552916796429,0.8997221683394929,0.8231476190341325,1.144365856226656,0.8590163744475757,1.021314368457167,0.9504043815095874,0.7800438480092748,0.7585044144710789,0.8932663422587612,1.075351640909997,1.342421796625018,1.568464399287468,1.6191087895253986,1.3007250698616917,1.3843127532808976,1.7278335413957038,1.4270812243627506,1.1669873886571265,1.5238747087611155,1.5904451914577886,1.1833537790931774,1.3029408192501921,1.5286951049093132,1.3167874509169015,1.1257695456711154,1.2702355923365023,1.115392936416249,1.1549492285956333,1.0981224811234158,1.0713522384810785,1.048016945513712,0.8860049528657354,0.9088519946193514,0.8967455653424551,0.9327632554949209,0.8576308086112028,0.8907833015275777,1.0746201635853785,1.1154970560710515,1.017665853506759,1.1339369742450107,1.476531136345674,1.4798882015829316,1.5961963667421657,1.8069913727107954,2.0291279485578793,1.7053726546829246,1.7889694407912438,1.2997473351453932,1.339194557234353,2.053101660860128,1.973107032535144,2.1108379393015015,2.091515652559797,1.2830466200872321,1.0949501913727386,0.7582959529895646,0.6000763685161432,0.724167436940209,0.7430274148204705,0.8642006148803506,1.4692808285915093,0.740820777963609,0.851541088069503,0.9659585642924539,0.9941055591406527,0.8196885650344129,1.429043830456632,1.910585015882779,1.9771535883820641,3.1247443892534967,3.834997450045318],[1.1444140923202937,0.8768172533823365,1.123618187478912,0.6787745042792233,0.7038950501436959,0.6504209485685218,0.5412350596587729,0.6636342005932504,0.5709147551156789,0.5743377629488792,0.6466945392456764,0.7068507042610799,0.6576356838419207,0.6623519877200241,0.87698960802072,0.7980659669373834,0.7411939146371326,0.8489679486987228,0.9197173758722834,0.8836069000377341,0.9560843270372282,1.0066480729131437,1.0211472712490395,1.003787827635423,0.8854458963920331,0.897906971976474,0.7845090231551453,0.731377127936076,0.7690427706486409,0.7447415360234554,0.8939478361073566,0.8316625942444716,0.9306678976602821,0.9201245996185841,0.8654288003719315,0.8236559184207777,0.8024662508117064,0.760049231096238,0.7422313090760758,0.7432311480549921,0.7850406547806569,0.8372900456224387,0.9081214204600403,0.8435618146536299,0.9430699540140202,1.0582347227798452,0.9537522265298827,0.8993194091685015,1.1000969232299813,1.4119890478579435,0.9808719190989956,1.2689671672752358,1.1671190400795555,1.2274614632374172,1.7849546788167758,1.050047879081617,1.1512143036929765,1.0229558521994147,1.0588680593237996,1.2215578602568011,1.0201677627783061,1.0080213350849858,1.028751536616679,1.3015126659537057,1.015370030419163,0.9459735533952567,1.1963660697565208,1.0638367196585257,1.1190945254452518,1.1089053837017226,1.3095038551465519,1.6349871976066994,1.380297153612054,1.3957577388668745,1.0811918974337489,1.4704348032549448,0.9991690792920156,0.9773748121607201,0.9202797519160631,0.9228568061421442,0.9251009345869561,0.9221823785679693,1.430306150156358,0.9416674074701796,0.7729546495779739,0.788399643370789,0.8443530882403719,0.9218425676629525,0.8340657367228885,0.936391106800766,0.960688016518124,1.1424109824377437,1.0283515207166154,0.9781971560647587,0.9144422346256967,0.9780515484334514,0.9323081235403786,0.89271676929624,0.8626141292467551,1.1353886488094556,0.9041412009278188,1.031840626514421,0.8866035258548445,0.9411424655398674,0.9317276946354978,0.9186840036042774,1.1820597563120707,0.8477259951230913,0.8321839892192826,1.078216440995678,0.7398417503712481,0.6425737764405953,0.5932144747618423,0.5869570387775662,0.5973918674395666,0.6020567654392454,0.6814350661481074,0.6700353893430654,0.8339875338132168,0.8255331681062392,0.801796938394915,0.7229392015357141,0.6402610380339263,0.5667389370131246,0.5664140325518223,0.5694307667167057,0.6090740676812153,0.6041227868728686,0.6358535032212238,0.7441943976584107,0.6668956808450456,0.7764353993955193,0.6719485971503323,0.8622167962628939,0.6784046713196555,0.6648682847737943,0.7903502911868034,0.5929005457896588,0.5800721573010993,0.5528805710646666,0.7372028658482044,0.7399418468247784,0.688924886930282,0.5982410506268662,0.6558276609018588,0.6770701880671909,0.6004607069753688,0.679871873914534,0.6587205332891067,0.6483103260907982,0.7583603076015053,0.7991895984834163,1.3778144032136967,1.9376820381089528,1.285935905054374,1.0489094828398513,0.805402944661319,0.8752753991511114,0.7940973521670951,0.8300667644543316,0.686868930203632,0.7415963855358129,0.6263495811712346,0.6807319429832908,0.6526147107841078,0.6955362521104044,0.6388104295572716,0.6911635447253915,0.7906490995768929,0.7804631669089948,0.6528230598716789,0.599242425776296,0.6588670509848181,0.712197913126098,0.7453557913776726,0.8315105423436105,0.8128191811122298,1.0494069041762166,0.8372544291646893,0.8917963523267789,0.7627291308578217,0.793973174709394,0.7942969386517397,0.754172044918251,0.7258665633044346,0.7547202378916744,0.7846267347029466,0.8171886172883898,1.4708165928313852,1.7705890970059903,2.3873582006654845,1.3575481235175337,0.8911193818945674,1.027456149034932,0.8069685124091943,0.7296212678142502,0.8171905060859371,0.6862373233938762,0.7120710524186363,0.7870615254550023,0.7866496756234806,0.8851964683907124,0.7522623596490791,0.7704112799171312,0.86700761139555,0.8274412322437382,0.9554746173477999,0.8867884999952121,0.970999120171385,0.9074221749100729,1.0554843206670734,1.0306811822983029,1.005664601651494,1.2211965917132042,1.335766237070449,1.3054286652259244,1.293549430434411,1.2437880373299297,1.0990316688551833,1.0678833699422243,1.10408694757355,2.416228238026435,1.271627344364673,1.7276137719214972,1.1889599924496206,1.2713787255040574,1.3356219660961464,1.325569322311227,1.136665979462447,0.9723219004666112,1.1434432852227105,0.9767848246420221,0.9927778409917756,0.8868759764482931,1.2220932774457682,0.8238896358352611,0.9591786761802171,0.9379599510195669,0.773939103382211,0.8540885760810286,1.0183088460300618,1.191624093581197,1.4718175995287999,1.6697894657492462,1.734525449713494,1.4176979196879316,1.4800111717301723,1.8029993221487346,1.4943911761828086,1.2400600168953133,1.5637859146130026,1.5979603406235194,1.2140069974760526,1.344151312832264,1.5331764463863953,1.3063153363038487,1.1758475837488314,1.3102907318973096,1.1789474975864047,1.2318261651435314,1.1918539668695645,1.1857716917807872,1.1372241862214072,0.9737285252165124,1.0053673058840844,0.972623469146016,0.9817868728688118,0.8877733083861593,0.9247458876177919,1.076562309632269,1.0871374033477712,0.9556641906822458,1.0636093447725055,1.3563184937513175,1.3609540522395203,1.495164967519013,1.664609357151144,1.9090860382251966,1.6291979531787237,1.7068279477245256,1.2607835895677917,1.3628094246004683,1.9845388409526266,1.8435985364246943,1.9235555319266768,1.8875335547911167,1.1803987369151603,1.032637947073687,0.7333914455399465,0.6447075158929788,0.7767695020471911,0.8167337573423483,0.9730380327192758,1.559907898114065,0.7976680744097847,0.9547426502797302,1.05816484745228,1.0374952208508552,0.919995293776339,1.6270692424702122,2.008595036233158,2.0868360764800844,3.250388282678864,4.0572891026508495],[1.081132072871294,0.7032119796726611,0.8559654087304485,0.5129129820792212,0.5553871966261206,0.48131454551206054,0.3638207207242186,0.4777075981680746,0.394144274291082,0.4221821010209276,0.4844767582490751,0.5452026900718744,0.5017782442072125,0.5135988652697789,0.7502006331530556,0.656676647766162,0.6352075024974183,0.7652997282459159,0.8695417459868852,0.8256545825392709,0.9016910666079508,0.9449775090858955,0.9744247816888846,0.9738031226679247,0.8485540991068328,0.8618286722587752,0.723562851379879,0.6447938934724977,0.6695616232613387,0.5972275917103553,0.7638772781691415,0.6778537972990427,0.7570004184978127,0.7617608685341635,0.697693178512491,0.6926981801340192,0.6406202545765269,0.6410851732348644,0.623816466275021,0.6069101677421885,0.705641542438182,0.7824710547191835,0.8331376065761243,0.7543925848081993,0.8739700552531734,0.9960143170222211,0.8837172533887135,0.8150938525283972,1.0697199495576095,1.3571389736335553,0.8898551971891957,1.1736765255256758,1.0688291423627843,1.1317928855770962,1.655134612074941,0.9402219392571198,1.0833853303821968,0.9191445943200003,0.9194622302189486,1.2260229944355125,0.9886692866044612,0.9161406211815794,0.913792084035222,1.2327287237452655,0.9495161815631559,0.8517225599555915,1.1169720302602335,0.9848035065680829,1.054801143636639,1.0352945787817969,1.22929534170544,1.5527894747329398,1.2943458986135676,1.3253486974746063,0.9856198808620882,1.377702468726643,0.9003239833282431,0.8581631785195787,0.7866589691919587,0.7846062440844922,0.771503642032091,0.7738654833084707,1.3221072779976912,0.7727762429089975,0.6261624094730528,0.6429103571969366,0.6995090091324463,0.728781357407568,0.7089771059813657,0.7846189089741953,0.8392113572910185,1.015582494752088,0.8970554289721256,0.8212021428858698,0.7763790981795405,0.8395235234911026,0.7969331583562757,0.7271042838528315,0.7007364139908325,0.9912914063707489,0.7197663447255663,0.8190277779516315,0.6849908933791893,0.7292363568469643,0.7173221657206021,0.6944632057447506,0.9234376757789544,0.5937587820077453,0.5943855684302063,0.8564484957140248,0.5150530796906831,0.41861289941370505,0.39225105158314877,0.4277801866862084,0.45444399138189057,0.49537666004685216,0.5893080804461635,0.5900470993581226,0.764345210855582,0.7512281813229875,0.7233561938478399,0.6381798539249887,0.5502571048013226,0.449674156041086,0.42313136516542216,0.4117764428119744,0.45345102655032643,0.4456278398536815,0.42557996234833667,0.5118845668639779,0.4520736999658785,0.5448961861969494,0.4611986735546949,0.6519197187372071,0.4961075107154142,0.5110007620089096,0.6898189171314523,0.4329513596889806,0.4521778865749841,0.44357424841271453,0.6859790439862382,0.7033540612443644,0.634084337216173,0.5073004908124095,0.5509480954392414,0.5614791208032534,0.47498104570196203,0.5089699600337418,0.47711495283058936,0.4632283472459332,0.554362705055586,0.6240499206211978,1.2007527022406816,1.9875246960444195,1.262071396227803,0.8779446209593813,0.6065058934927513,0.6597928046445459,0.6083953600811454,0.6125169339143087,0.5023075768753823,0.5646826838779387,0.4856005965178275,0.5308264524309351,0.5114184129657604,0.6033243413663425,0.5286351692971535,0.6147325858099874,0.6905367690598747,0.7229461676011187,0.5319583123694637,0.45364682234725,0.48335862584609196,0.5168065604988985,0.5365323805282904,0.6193079730772033,0.6235931630474985,0.8994608291062838,0.6268627338729694,0.7165766306233403,0.5764607796727109,0.5792123933157124,0.5813709700328793,0.5344161803827711,0.5423371771080725,0.597665487842566,0.6644425019688458,0.7388922795787924,1.34196031961276,1.757477476870266,2.3594123618793637,1.3193961714773146,0.8290565508337673,0.9558346517312308,0.6650339327453929,0.534741967361152,0.6772674921630926,0.47871420868597725,0.5244865398917677,0.5990367168144667,0.5632297763991995,0.6711114101870315,0.5342773176189881,0.5698912750329376,0.6421187446538232,0.6188938615222347,0.8053749383826823,0.6816176522054461,0.7675371775814664,0.7092479721263831,0.8513189303821121,0.8153806887426179,0.8054137596220066,1.0086367424759513,1.0947071687798884,1.0841372340031377,1.0975321027060139,1.0584037039391687,0.8976845389934333,0.8472882322697504,0.8680915120813226,2.2406846245879763,1.0603939677554226,1.5558653502480901,0.9637021396578569,1.0359642042937063,1.1061489151261785,1.101659966745104,0.897435459171066,0.7196194999103508,0.9195417077143607,0.7174029800877655,0.7463496392634854,0.6325896804938196,1.0494669494460322,0.6341331667980512,0.8330475579041181,0.8203417546420709,0.585732726628024,0.65382297481843,0.8129120843117456,0.9829316381550541,1.2690646895394688,1.4868269912491,1.532126639029689,1.2054759664396857,1.2536066200120695,1.6022141581527363,1.3032708125769712,1.0460486753754688,1.361511161277565,1.4121210275289988,1.0314003850349591,1.135247063653472,1.3318326768538948,1.1202682103530532,0.9734471414308186,1.099384974851753,0.9596383894262835,1.0000885213206734,0.9649466021283948,0.9400723702980022,0.8915099640474209,0.7380667878515235,0.7774427667841779,0.727148217433756,0.7589382289503768,0.6707378033689598,0.700997837327788,0.8690983471819449,0.9222329916508291,0.8003403870020069,0.9023154929332907,1.2431139876754338,1.249472277022772,1.3810989100334436,1.566376450041798,1.810006919339849,1.483352131656411,1.5370022953579274,1.1025239558294526,1.1794791775379379,1.8028708901561417,1.6993801331817853,1.8056354734087845,1.813541488785217,1.0858445409292228,0.9090661998579597,0.5684328025657769,0.4647985765486482,0.5765210777223273,0.5754660806747653,0.7212059587475392,1.4468093593541769,0.5714614697092847,0.7191062977545986,0.8789368469740838,0.84336722446581,0.7481144882139779,1.4959279717624456,2.043661877374527,2.191951777339595,3.287213952886163,4.187020119729577],[1.1302695976773003,0.7881037274209653,0.9533651149708345,0.670119115026877,0.7193471002804517,0.6292624793160485,0.5665179430540038,0.6643747959886469,0.5993560699660754,0.5990972832677561,0.6544068767674311,0.7114283716450794,0.677695773561145,0.6451674601374368,0.8491933813381939,0.7871393612448958,0.7352396121578145,0.8245423541107804,0.8685978490553825,0.8611600273783186,0.891344556895384,0.9328375494312504,0.9251724924369435,0.8794477696480028,0.8413905213957028,0.8504506803811068,0.7757653391244931,0.7227075000581885,0.7625954798075811,0.7391709201654697,0.868001028243375,0.8276001755630673,0.8997682407655896,0.8803615828735576,0.8308737596944417,0.8123154892150845,0.794570344372289,0.7679405731479403,0.7530982006303562,0.7559780259547243,0.7866013180489005,0.8281805405348661,0.8698340783125496,0.8319252357286729,0.937667880879851,1.0599320247139712,0.9216072327695302,0.8542922509849148,1.1008433616143034,1.4227840741223177,1.0404716324241001,1.3108772589415298,1.2112268924958998,1.3119257140561966,1.820875304240875,1.0699155469236445,1.173513369584081,1.0143356873376144,1.0530341847619873,1.2180336953338922,1.0441262724348073,1.0189916429411296,1.0086828122592528,1.254971757821377,0.950104761748276,0.8906006856061893,1.0981789438434055,0.9826351711557608,1.0012332748837798,1.0236852942453536,1.138059960162716,1.4903959224785106,1.2778789001743003,1.2599524289030188,1.0003957792164555,1.3750814732844798,0.9243120523271295,0.9190075382418751,0.8695628177933171,0.9079143869809195,0.9039586331116678,0.9265578460651503,1.4253947784972787,0.9579577441666204,0.7611148601211379,0.8009892440930103,0.8141617687417603,0.8683282583304459,0.80909669045931,0.8962671555803056,0.9124443872755676,1.040242173425387,0.9719647353138104,0.933205780044769,0.9002907086490242,0.9567982241342904,0.9187356818774332,0.8692590081257969,0.8618039813155987,1.0960298352284306,0.8882041940233409,0.9630623317525066,0.8684531660134331,0.9032965342610632,0.9125005713030924,0.8723768653651436,1.058555155767499,0.7807294004558195,0.7673084290033761,0.978374266463567,0.7004076404417096,0.6342824972831492,0.618311273697543,0.6195594401363789,0.61878243315046,0.6390844359450312,0.705491124269749,0.6677775358154463,0.7738869222569505,0.8077712725272711,0.7599632356385434,0.715658050560505,0.6457293456024247,0.6129054646967805,0.6056598177951755,0.5934613467579635,0.6510844848221485,0.6586583954864329,0.6411050576141584,0.7379949091147349,0.6773888544655504,0.7475247438346508,0.703337386043159,0.8681401850152983,0.7212946518998519,0.7112062699247087,0.8009530937227434,0.6150909651815509,0.6303593190196192,0.6066876016163456,0.7426477411475184,0.7353157223667692,0.6926874521136342,0.6242767526246055,0.6749389091909905,0.6881840182742971,0.6410902548259915,0.6841423049199307,0.6742875492169987,0.6615064247161367,0.7222386194603788,0.7444696065945955,1.2886925543403465,1.9710708727466226,1.276512406047558,1.0003260308510018,0.7907094620180471,0.8251005688337809,0.7781663845397094,0.8060952337641614,0.7035862138123672,0.7467971369174603,0.6565039113953934,0.7004324415589015,0.6960684522424243,0.707453151854558,0.7024997241611759,0.7395833774264748,0.7989323354608251,0.8300954278101986,0.7040861793692331,0.6471649827321684,0.6952596894446141,0.7171225157254875,0.7375026215180966,0.8127008951999596,0.8087943376181552,1.0564364716901875,0.8259021408565582,0.9107188096821932,0.7747536879072009,0.7812209263554915,0.788102667929776,0.74562282926342,0.7451212493009178,0.7612925849963403,0.8261750719187878,0.8322373293701787,1.4849084233022873,1.7299898749251628,2.308448409000925,1.5017400239788108,1.0009372627377755,1.0809318199600197,0.8720007422154731,0.7590596620747767,0.8860382623483157,0.6949102603023548,0.7004289240894307,0.7479459248504785,0.7426046346226555,0.833452844481107,0.7152669570191307,0.7309357566600341,0.7909685182680516,0.7647925749693774,0.948540692144938,0.823777260353852,0.8672540279440348,0.8625225061482753,0.9903934867077031,0.9476458629553061,0.9454735994563364,1.1640358213960176,1.2490489060868186,1.2306682155941466,1.2044806856161057,1.1304483387733015,0.9978856380378994,0.9512229922294209,0.9861897186067671,2.4107850828844994,1.1883125809325985,1.6226172608582488,1.0863174556317592,1.1860144133968606,1.2466733865221011,1.2629911122162067,1.044014473265342,0.8677410664692158,1.0526435228562998,0.8724274728770901,0.8444946967879187,0.7766526485439461,1.225769851687239,0.7280042209889316,0.9324805953479071,0.9356504857294213,0.7394402113276525,0.8549531371279068,0.9956241837972367,1.1134582140022817,1.401526112367202,1.6052763204127065,1.6494951786426442,1.3299765461104334,1.350399686898982,1.681436702558633,1.3973227691621657,1.1379240503224055,1.3926962432520456,1.4151827640705146,1.0713393179034372,1.161886393452866,1.3189253019748761,1.1058643754125665,1.0301421063126468,1.1315452156204722,1.0226764957272665,1.0654657545017006,1.051999205107114,1.0483631543393932,0.9747521970200613,0.853206827828626,0.9114104579757445,0.853505818703415,0.8724129365677158,0.7926193602247947,0.8301662081330996,0.9299107604573174,0.9798519462722257,0.885529303978126,0.9610324562948753,1.2754457184719625,1.2749324686731913,1.4218109744611898,1.5816376198081894,1.8228032081364083,1.5110385204990968,1.5839438034651756,1.1962536461799076,1.330322520858561,1.901054685293663,1.7372141178655878,1.793187532610287,1.7764769998972167,1.149763077322594,1.0292688551549143,0.7278871760468936,0.6449425543826888,0.754355578651874,0.7363608143965135,0.8403314428900714,1.460135184575393,0.7324139513954514,0.8582655619143422,1.002397753343697,0.9556884361461913,0.8811210998756561,1.6685133876901417,2.107041052093113,2.312953056310898,3.4428752557474795,4.454762877034336],[1.0974935166305457,0.758494905150527,0.8601225327150017,0.6381110300075586,0.7059928679253944,0.6511481814366753,0.5698479111659664,0.6181186869703055,0.5614968632196731,0.5540040818057934,0.5852949707661451,0.6270262827125358,0.6014722634729582,0.5875503589074236,0.7799261267088075,0.7038534962959867,0.6874135835471199,0.7814052032710728,0.8452855485310945,0.8221439211103581,0.867622879267472,0.921038482766722,0.910721951568525,0.9096930794341693,0.8195499545142322,0.833210768080366,0.7454033672395439,0.6868258069520704,0.710874568651196,0.6589953534265227,0.7773805503066714,0.721392958534809,0.7745221084123391,0.7634728199245463,0.7228258209426808,0.721449549829832,0.6985467286659626,0.6994052837241771,0.6842256086676126,0.6746829297224317,0.7348802762459645,0.7920104741399204,0.8378624180501839,0.7870229932281693,0.8795534539305377,1.0079369559864078,0.9083966086857153,0.8500022774705032,1.099567628485377,1.373432940469273,0.9875585877248549,1.2376833218279288,1.1410140115598102,1.2079646750866524,1.7071368312384205,0.9737018763605021,1.119167256617641,0.9123633317892292,0.9274815522380989,1.1900157926065091,0.9846812428845919,0.9019847044657462,0.8863730616278951,1.1913639358707375,0.9056889397923892,0.8216782523329613,1.0799819480600839,0.9533661500781123,0.9767061724315537,0.9902561120670734,1.1396428870017985,1.4863675084075252,1.2469660608530684,1.2252698844256376,0.9409233378109014,1.3177561707339254,0.8620742020431883,0.828042670018896,0.7793707030780627,0.8060941722083217,0.8115266843107873,0.8109884593406598,1.3432174777108092,0.8562042093511,0.6903051395847329,0.7105776316282418,0.7369130631694566,0.7649798924664679,0.7245637628950707,0.7830436826789808,0.8189913369387629,0.9741886421845268,0.8697381946506934,0.8067922774948663,0.7867354798197005,0.8457876312706322,0.8332007518860967,0.7571846390175775,0.7618414091189062,1.0458176113318116,0.7738176993544229,0.8619924097355788,0.757005048184994,0.7988594423301072,0.804223081031096,0.7698352581873232,0.9403595187071636,0.6968942118044119,0.6975314550744329,0.93064901277107,0.6229306945754953,0.5824056676059112,0.5805677819518983,0.5930774677699509,0.5813471036252228,0.6137156726527869,0.6758946520944784,0.6738735461203907,0.7667110423865594,0.795277833002623,0.7533128615164598,0.7068736784080955,0.6736199911952195,0.5928866760223239,0.5917633456156478,0.5724744052679511,0.6383196914431546,0.6218224589510462,0.5780372693838268,0.6435937156925886,0.6003194927801404,0.6476459832509173,0.6248294191767099,0.7795520160462823,0.6519659101365091,0.6480144662956037,0.7876685393357412,0.5927129829502037,0.6017867481576405,0.5836864202215856,0.7574118393783273,0.7613941525417427,0.6987483392501895,0.5975288076026223,0.6207422436439552,0.6255199415150987,0.5856793476125539,0.626562136448099,0.6110154747400554,0.5906526554247152,0.6519648855547611,0.7047179594347976,1.2112466835312388,2.0498471054850516,1.3808008016204958,0.9379795692863129,0.6926310703522003,0.7319368567166319,0.7050267759756207,0.7188938344351707,0.6383703920418244,0.6649091958680712,0.6064140022546816,0.625649762778901,0.6354869851519181,0.697641408478164,0.6679962625295486,0.7131853617343379,0.7687595850105413,0.81763177415576,0.6709311180177414,0.608976955663994,0.6279597307868957,0.6460705811046286,0.6521775217047615,0.7180292909412876,0.7026191030976183,0.9559012259343905,0.7073649005765211,0.7945068655682963,0.684288017025545,0.7005176708610387,0.7071203515487996,0.6674613151613308,0.6848169127975463,0.7021071772714536,0.7678822649162921,0.8241377759900903,1.3852974862162342,1.7171305036325977,2.3137441759889765,1.523033933924703,0.9707367363282211,0.9892367707038475,0.7847218346235837,0.6941323654087462,0.82223392380472,0.6255733096714621,0.6578087039337661,0.6961428434650834,0.6873200885784242,0.776808087472849,0.6649496767208748,0.6874702485255783,0.7411824003547393,0.7307666500530623,0.8842051662193615,0.7761891639699915,0.8417591715333398,0.8281945037233532,0.9249412056988834,0.8973972236479004,0.9123203376769007,1.0959827468531942,1.1336723615513213,1.1216849674513896,1.1316633152721018,1.0597840886560113,0.9384531997321712,0.9033542291048522,0.9395490950728365,2.310546781598579,1.1174391299679538,1.5341067460210582,1.0319156904346711,1.117122031412883,1.1766956790833487,1.1718976690121359,0.9765333337523235,0.8137209241997192,0.9812854219342854,0.8240902190535219,0.7959946300802323,0.7164291916243231,1.157085747479232,0.7058720754500035,0.8909340716585058,0.9180419970516798,0.6990622065803719,0.7793616106269441,0.9468768778908575,1.0617785956503365,1.3081984054543905,1.484953675014129,1.545128478559108,1.2371954452668972,1.2552919869965415,1.5780260595793607,1.2983644705989943,1.056043921170975,1.2979738678608868,1.3235180239409312,1.0100639622284617,1.1055256576535344,1.2696973572033905,1.080368650057838,0.9970025458045818,1.0707176503682065,0.9795047533004133,1.00893341621268,0.9989279286243947,0.991223113292443,0.9230661558180973,0.8260150331054676,0.861129878237413,0.82216962436733,0.8476086979541952,0.7702809427751534,0.7974925179761326,0.9153210458644268,0.963178162981057,0.8663735843826594,0.9341390970116449,1.237895534586131,1.256712271444784,1.3788048682721752,1.5326950988191308,1.7722236042027917,1.4135830466875885,1.4668779234160871,1.1206295554663699,1.2258994433610155,1.745900302035085,1.6129152103015783,1.683428710801408,1.7114981838421988,1.1072804055315262,0.9848155204573295,0.6844271778184248,0.6234676033498354,0.708952666892026,0.6925836901143777,0.8010087221837326,1.444463437933565,0.6870446093716462,0.8180003168746396,1.030660714034204,0.8559856689060679,0.8770271715982314,1.6374764208542023,2.2417711439483665,2.5126722989611334,3.5732128735651982,4.737753413035871],[1.1969635435062236,0.9643168047056876,1.0553377484238378,0.8633101819919292,0.8891965853032229,0.8207225001189768,0.7760216629457374,0.80784619259194,0.7671195138508606,0.7853518422566643,0.8363930936373872,0.8448709443700995,0.8271180184701638,0.83615735768259,0.9913616661236188,0.9283178572528861,0.9006486895994692,0.9706220135542457,1.0017075211057538,0.9809450828726907,1.0048088341164434,1.057025711073841,1.0218238697902238,1.0232858241560159,0.9735245385689407,0.9875194358044369,0.9467494227184331,0.8834769835179108,0.9095940990605825,0.8760858634720581,0.977347687859679,0.9220431569059073,0.9600598041942741,0.9427453078519572,0.9187012052690128,0.9260941709059268,0.8887940312469337,0.8806463255551574,0.8875641416986068,0.885229807503569,0.9253608459266395,0.9482625987442941,0.9856433286120267,0.9685235832222054,1.0471393611341937,1.1096218093643737,1.0157379177564545,0.9939507999126925,1.158124632526864,1.4589543783544485,1.1537025463507513,1.3929889461989378,1.2843888389357347,1.3865922357142266,1.809723937349048,1.1431029293888104,1.2879428311769625,1.0554202413667706,1.098612476149505,1.2609982785120784,1.1310963346302847,1.1131554636757504,1.0950547559102508,1.2924872884662033,1.0394070478144464,0.9867746247415634,1.1682739205110757,1.0890739753943979,1.1226715376321434,1.146842630515753,1.2871563103488444,1.6218082760473935,1.385902110362284,1.3503586804206391,1.107845258953173,1.4307724198665113,1.0151248736364893,1.0033815239157848,0.9441194784712393,0.9743612868692336,0.9806787204422708,1.0200955605433768,1.4967467738459515,1.0598902040518066,0.8981237893557458,0.9209046808638672,0.9151702321652844,0.9571105608735019,0.9141337971610783,0.9736380627435194,0.9895470131944748,1.1343996501494156,1.061923176293579,1.02191352688015,1.002571081025827,1.0711789671549121,1.0683691799574928,0.9479736895146711,0.9478778962616319,1.1141013920426348,0.932974467562252,0.9681650668773075,0.9171513324622735,0.957789763470238,0.9701698157833752,0.9160750873705917,1.0595620236902707,0.8547906752725598,0.8435521619841369,1.0199247593943153,0.8146780602041326,0.771315830531532,0.7890424391072134,0.8127260291566034,0.7952238428521683,0.8218428087541139,0.8761326141647883,0.8538468532008484,0.9214335520897011,0.9807020714501407,0.9099478767045537,0.8779853245478704,0.8477075510943071,0.8113711500378594,0.8167557463741683,0.7771713117102146,0.7982948323980393,0.812227645564193,0.7902809260988488,0.8284422897170315,0.794590189387447,0.8313828841901978,0.8027545968644648,0.9301142229407608,0.8112532034521887,0.8178603655727801,0.8879495031459728,0.8126765750907404,0.8568323462442848,0.81909251776137,0.9044179525517765,0.894636375239818,0.8796479510679015,0.8163912471070214,0.8351044147320076,0.8425255478248583,0.810119664634502,0.8263610334576479,0.8082847660476594,0.7974291182797907,0.8279833243144946,0.8619704756805343,1.28792766680948,1.9841435799948313,1.3141649301936082,1.014705245022556,0.8584135926975704,0.8920567014975866,0.8599894627040435,0.872600895950836,0.8228306920981431,0.8731389286070435,0.8089466759925831,0.852535027017961,0.8285342776305092,0.881119391066892,0.8531185084273718,0.8650676858063883,0.8909803225718715,0.9073809772415987,0.838362082923639,0.8222351918887442,0.8257239737865116,0.8419457422918761,0.8507760990781704,0.9021888035553879,0.9170582444325985,1.1174986017508528,0.9235413312745736,1.0018900763486105,0.8774768651570442,0.8558146085228978,0.8589221186130878,0.840421493339668,0.8477979794893515,0.9008505595817781,0.9621716259156957,1.0110893991055234,1.5265557708845559,1.7650825205171374,2.3151776188432165,1.6347027318618694,1.0918255284838452,1.1648344107904267,0.9606110446645607,0.852746120704351,1.011327466398573,0.805054508315191,0.8173618458011592,0.8474573586890983,0.8577596160896072,0.9332307734430251,0.8313191593329242,0.8676918775874105,0.9074235812642009,0.8940036938304784,1.0885782855382187,0.9674122092331187,0.9947462585820671,1.0300689410706534,1.1281561816383316,1.1030827148752886,1.1219001652373306,1.296364248578475,1.3602513454261003,1.3242139231139969,1.3102421814891778,1.2233009538273498,1.1234183130700985,1.0818711101426022,1.099388175494493,2.448358049656136,1.298328312367571,1.6417176265178604,1.163403261213426,1.2609469616391227,1.283983693910697,1.3279393890731683,1.125623525634998,0.9732610153242972,1.1288870770659083,1.0228355048004014,0.9886047748948367,0.910309630034973,1.2922943817435104,0.8632807128920684,1.0269787264444001,1.0365034280397614,0.8645394362215579,0.9221909735691772,1.093242484623297,1.203584720438506,1.4479253046950136,1.6018838650142964,1.6764986185069692,1.3591667848687305,1.3407933380135924,1.6707799969851589,1.3913553892946386,1.1580547572748818,1.3651380590998963,1.37429284730585,1.1174425861160526,1.2054679133881785,1.339073817576305,1.1701260525465096,1.1506427707666331,1.194739776496878,1.1211391581216807,1.1312822282299422,1.1193992748934178,1.1240708071014545,1.0658658343443295,0.9812296794161127,1.0257069664742848,0.978580357528811,0.997173965771893,0.9326424907525569,0.9673271590600706,1.0311876629607224,1.084886424400596,0.9923966545969806,1.0422150398211938,1.3368961102144412,1.34648682949249,1.4660852840157654,1.600015781311946,1.8531659394098934,1.5157414513172511,1.5889296410837277,1.282616451306053,1.4273470353747706,1.9076650276420593,1.7473387394088382,1.782247992587483,1.7846603386777162,1.2479480222387909,1.1442249021366229,0.8515836629601687,0.7950274395719175,0.9097013717779049,0.840106611039255,0.9369568935213075,1.50204732870204,0.8590382282143213,0.9987769232621287,1.1688053218902337,0.9906529170256424,1.0623314339307541,1.822599135225597,2.2600824650450977,2.520757793967957,3.616045171304867,4.850367349903635],[1.4077777536007963,1.2205400205007673,1.286795856300376,1.0486672326985116,1.0975610956409445,1.0228243046647556,0.9976394353899894,1.038753469477804,1.0079158940362292,1.0733439879864841,1.1446060480230718,1.146744507645406,1.1735120613812295,1.1915048468185896,1.357105166381165,1.3271232467097034,1.297346189626055,1.4099093464774985,1.4334905778473628,1.4288560384222944,1.4729814106368733,1.486258457138711,1.4695058323288779,1.397904863871327,1.3939692859955033,1.392875451685088,1.3428246345445902,1.2782035516854604,1.3123423619402725,1.2669579271289098,1.4349900698067417,1.3192860344659227,1.3566442634208167,1.3917612945013067,1.3501304085640116,1.3716610551373682,1.2725146564159986,1.2932341549702868,1.2649761829620292,1.272137430117456,1.2654704506202568,1.3838030157230732,1.424868562891988,1.3579842779050764,1.4358070025810366,1.4863202460219973,1.414480470217442,1.3634939679821294,1.4778831072566592,1.6928968487265525,1.4462097434675176,1.6633855087908882,1.5986187378918,1.6605850955316392,1.9767290078723996,1.491596164081015,1.633154418951053,1.4366479927923719,1.4721478893022986,1.5943530090532687,1.5904140626082655,1.5895602459736247,1.6113183874284631,1.7666057496359944,1.5052334133584537,1.4538781489903774,1.6626482714961517,1.5824163816348564,1.5670485589191605,1.5886096996476786,1.6620554737659887,1.9921167291769404,1.8200690391422532,1.7553484490227969,1.559881022530663,1.7767885370481575,1.4693594421435374,1.4720225303864323,1.4231845682238635,1.4219750746225905,1.382023261729613,1.3592030162323172,1.7703784861460532,1.419632170467437,1.22576258283621,1.2676148518485126,1.3230096749183369,1.3719471978523217,1.3952516582332808,1.4194454194648738,1.4670255785466149,1.5933881263774008,1.5626861470339353,1.5032622830305256,1.4773964498571055,1.5704665388380683,1.5775509473972562,1.3676890942340616,1.2640309497997588,1.2955591900928691,1.2256612383839804,1.204245354843945,1.2037198209410003,1.1937714310138834,1.2153956057758533,1.1590290063914186,1.2629651465372367,1.110466895309073,1.0858481465085175,1.199480895526387,1.0681736151716916,1.0308665152477392,1.0464780580496627,1.0885791553305124,1.1132608205951844,1.1441899808420626,1.2395941363827938,1.2205005194642944,1.3310496986069016,1.3734171154031838,1.2871458610334363,1.2434038381698909,1.177978561536453,1.103861251099609,1.0579935634699962,1.031303086243189,1.0215325166912248,1.06453572323571,1.0413126234643195,1.082643333653037,1.0502032039355849,1.0815532350713744,1.0682042203964859,1.1959687946782094,1.0898307461893562,1.0838334617562955,1.0849181436585777,1.072092603449483,1.1051339410985983,1.115650057610413,1.2079538926475395,1.2502586045896356,1.253150599986574,1.1701836428524357,1.1971475143935977,1.1982244231406372,1.147164014318025,1.1441656875881956,1.100679577020455,1.0645924325761356,1.0792733969106745,1.099352497192507,1.5012517741686913,1.979109716050331,1.3662345425900502,1.2086989750128678,1.1115533459219136,1.1329568860336756,1.1468974325196366,1.1273129831735706,1.1196080250282305,1.21929360277035,1.134208310142387,1.1796854618271886,1.1598508622810233,1.1577231666594137,1.1506716364277803,1.1497722545808053,1.1394327200685381,1.1605726532523504,1.1056200790122186,1.1009125132973487,1.125954060561354,1.150943156126813,1.165651599834035,1.1918453041041646,1.2054767398600397,1.3415723632704732,1.2249918611826227,1.2808507276886674,1.1813053629812211,1.1395138668599163,1.1447677949306654,1.134302367391832,1.134514692904907,1.1835964436435118,1.2771126088343647,1.3326777509239824,1.6923911003996128,1.814443375156255,2.3470829902924732,1.9357350126611665,1.3639270080284045,1.339953754519913,1.183421987083366,1.125995158134973,1.2366292031273296,1.0559090850505903,1.066324403063668,1.0960872016110599,1.1258105433958356,1.1752045340809918,1.1056156883969095,1.149003891118036,1.200654174737485,1.1959333792992677,1.3748426053153582,1.2813970806072392,1.3217742636509355,1.3627459205496837,1.4436528762796204,1.4593633501029617,1.4874702736890875,1.5790645027991561,1.6870075650950365,1.6090159465605094,1.6012053188314972,1.4758480204910958,1.4319958145541978,1.4124122418309788,1.427826508293194,2.715949248385636,1.5973244033189742,1.8162498327562435,1.4375322641882982,1.52951240047428,1.5071586140571205,1.566019160955608,1.3875323309171494,1.2478759068755791,1.3640733189600605,1.2944643055379754,1.2357608006186753,1.1694696979885728,1.5229909831247104,1.122378658076077,1.2359776567699152,1.2399766377444292,1.1099879980520277,1.1558126751556346,1.3034780848439407,1.4193512884242439,1.601917730605166,1.7559924244163627,1.7772704281264176,1.5101825234906914,1.5255169994183473,1.8180220936787441,1.538319137521288,1.3731686450302323,1.5654375088368324,1.5608158696418764,1.3775151273920132,1.4949811491540443,1.6349509786302316,1.5180438051806588,1.5274856169965083,1.5590156086894487,1.474087243227208,1.4449819795946162,1.3904623723318028,1.4073131979982503,1.3953326404739677,1.297279989877861,1.3142814022252811,1.292158718685463,1.3020239882743792,1.2084382570374859,1.261958314598431,1.2873220789521564,1.3222616402445753,1.2290593497838698,1.2749358800895023,1.503349145752514,1.4954169008283877,1.6094196723359122,1.734677757049425,1.9925868030369,1.6826260210572024,1.7550443964947233,1.5070707549395246,1.6702973376891648,2.072296476520265,1.9002174589222978,1.902644838353744,1.8824560915617081,1.441704788118553,1.3553472457579703,1.0922954710121104,1.0291759298525769,1.196568344671273,1.1119919811810437,1.2173778018928152,1.5840775313630269,1.1342510090259421,1.3186140506828017,1.5071068541648982,1.2257097945753657,1.342108661398381,2.1210839689260084,2.377137800888878,2.6289602046714027,3.6921964493587964,4.959441843941353],[1.1190164126668658,0.8541328911880242,0.9911326043381978,0.7808790868821105,0.8701822111761338,0.8021453178934825,0.7791133760493577,0.800227726554443,0.7834294599993699,0.82625838749217,0.8667173773014848,0.8791445647680549,0.8725747436915153,0.8888492911640773,0.9961017854109095,0.9472100803833468,0.9522173262016518,1.0407528650290654,1.10366488097681,1.0623025610752255,1.1236176663523687,1.1419362718084392,1.1817372879441645,1.1388867781953882,1.0599784444147866,1.0760485628881864,0.9960274589124003,0.9373448002743409,0.9587058350279294,0.9061200765906741,1.0169434868980294,0.94686591632269,0.9810625771696,0.9789160881221071,0.955288897468784,0.9814891345882737,0.9299586892980419,0.9583733907459119,0.9311963633643765,0.9302621050998298,0.975364714009461,1.0512233813032,1.0649143844947675,1.0187239707953448,1.0882852779561625,1.1777532850878085,1.0891144785998617,1.0705198108340759,1.2385141332336123,1.4850288922333068,1.2056990864493846,1.4306796514941087,1.346665423124123,1.4164176815170306,1.7949063183294025,1.2011048633786865,1.3685244675610628,1.1117436031673575,1.124939699990821,1.3848474910122732,1.23940606222599,1.1719564255675001,1.1724250425727591,1.4540414090758988,1.1603134866924307,1.0634899119200856,1.328794644696588,1.195764951461628,1.1881668440667066,1.1965729333512665,1.304387079035073,1.6357626292246283,1.4182237037177325,1.3926655831561705,1.1702473595283978,1.4701413648613206,1.0759690226138845,1.046137245892034,1.0018282181472686,1.0374375898855996,1.0088168495829972,0.9986063154826968,1.5334811916544209,1.1209006909431851,0.9373675087791973,0.9524855372784515,0.9526363997410162,0.9987045257322742,0.9861539217990152,1.0151558815428887,1.046861939491013,1.153421941608312,1.1000661740462734,1.0198373924536535,1.0172880582106696,1.078570395015587,1.0840556465122182,0.963364511898959,0.9442836643920276,1.1175534945923198,0.9469241420815353,1.0126159869661282,0.9442623541339245,0.958200611466863,0.9802497744861569,0.9195500840737955,1.0250132086085528,0.8508143714485743,0.8265963816696549,0.9793993616594808,0.808313064644797,0.7847711480358055,0.8067117420757536,0.8210908123196506,0.833082607406284,0.8878425061018964,0.9236448696459638,0.9423319682969674,1.0048198862225652,1.0297205816170323,0.9956737240035927,0.9691036381103276,0.9501425888354431,0.874486019789852,0.8444138501337801,0.7979640481740771,0.7822121735862461,0.8304089583779339,0.7989220911667434,0.823568021175274,0.7932833755807124,0.8238930243463509,0.8146375396489992,0.9330828666953066,0.8233901049919681,0.8317661102119308,0.9016104040190592,0.8291993822961314,0.8689467270555925,0.8613933894232843,0.9804771250120147,1.0002630815159326,0.965210562217146,0.8875071539242745,0.8944834400136286,0.8888601297259646,0.8640520091233947,0.874128387738127,0.8391897059638193,0.8176675053299967,0.8396681123683016,0.8777188844161342,1.2930903767824473,1.9517507262019373,1.3111124848364164,1.0184534859073084,0.8788498491913355,0.9006462217902501,0.8874941336432941,0.8715027264812473,0.8480565965123897,0.9001121183466656,0.861917255973037,0.8787814654222028,0.8901355261450783,0.9334696477243547,0.8895324319503287,0.9130369748727565,0.933554094239805,0.9700084432602916,0.8728523978596482,0.861794723017917,0.86194979461138,0.8765883581968131,0.8821355050934695,0.9206414077573662,0.9212307533112432,1.1105650533647575,0.9168395242445088,1.0312292085827364,0.897726005668964,0.8792479770614196,0.8847937224090222,0.8695313973207298,0.8751916266279658,0.932133888579817,0.9924677235856479,1.099179186048018,1.3886202565797505,1.7627417910632743,2.3179331525134734,1.7204291896244857,1.110215291212663,1.1932663551758544,0.9763722098325439,0.8528470808409133,0.9920771015501602,0.7997021720663721,0.8027421189479789,0.8314800296441103,0.8305667093745226,0.9027753591827081,0.8108896165131371,0.8296867381776274,0.8646360522829126,0.8492747565136128,1.025759892470111,0.9031417520176486,0.9338872879863898,0.9551723795979147,1.0493557497880257,1.017355653389648,1.0312218185962196,1.2090971980390022,1.2740271435906045,1.2474716456979122,1.2403280809941646,1.157636893076783,1.0572134006239364,1.0101952056270045,1.025983225393947,2.465324487794176,1.2557880165528221,1.5997779824143628,1.1297076747363708,1.2380189294537196,1.2571787757845192,1.312839368269154,1.0945872878928042,0.9372927424964699,1.097478891313078,0.9972457249155064,0.9572924340070972,0.8888631554058354,1.2885842980362692,0.8414732756742871,0.9772220075764996,1.0115424261591157,0.8398827978056421,0.8974184486106991,1.0693966262275176,1.1760799628588994,1.421612928510138,1.5842283360189107,1.6367853188094292,1.3237971025275084,1.3137393297462205,1.6502099410992406,1.356285814015669,1.1158849424091286,1.3252510350720486,1.3251883279290764,1.0591498467202316,1.1585144762329234,1.2956143903486996,1.1100162722856715,1.0861105469856334,1.1515227119619087,1.063355619958561,1.087238411971524,1.0850451937595582,1.0948560885155125,1.0149513554808591,0.928127555220361,0.9866272001152265,0.9241026543303903,0.9373246672747104,0.8836293858849171,0.9161085743747276,0.9867463743002011,1.0482811925116884,0.9569471064196645,1.018030112587139,1.2979696658748419,1.319875710694585,1.4428850662570534,1.580858530716503,1.8294621694637951,1.4859804381069255,1.5448250964277837,1.2224372318646508,1.3512182834642517,1.8425281917729055,1.7144086160364158,1.7661984788008325,1.7935032629006307,1.227732401363891,1.1264862798922428,0.8390742196734522,0.7869859423997293,0.8718489239059353,0.8143337776115411,0.8995935440219367,1.483747757546716,0.8304557216437278,0.9533377533226489,1.132156487430394,0.937602019092894,1.0084802553790695,1.7843736570893722,2.22628450553372,2.4332937033310555,3.5434432596120806,4.728175883601697],[1.1833868110059496,0.8256523011099262,1.0107578146849985,0.713912624565569,0.7739006628462877,0.713650156515507,0.674425454503994,0.7930384847730635,0.6996694070657437,0.6974800198479694,0.7512530996942175,0.8481153841085602,0.8171615697170148,0.7545744144294497,0.9752936412024646,0.9637337430313114,0.8891386526866745,1.0102099397017923,1.0418952181799996,1.0466680831137773,1.1016354433554918,1.1525004625532183,1.1458118060651272,1.0786514377357823,1.010337016261098,1.014205593634024,0.9431624846228321,0.869448598333027,0.9439183773779718,0.9339699836702109,1.071415959072632,1.0607896082304842,1.148007663472427,1.1585478169659968,1.0919342136756616,1.0464476028030314,1.0371013160165077,0.9827038719617837,0.9465071066078685,0.9659074747726831,0.9763691670414503,1.0322805387114626,1.0945943878516273,1.0473139042028556,1.1033456196020237,1.1895087911149402,1.1195600531907217,1.1182787747800442,1.2752917761663516,1.5657381440266815,1.249343913134751,1.4495242194805957,1.3872974327070542,1.476314633632995,1.9166391377303793,1.2694473032786566,1.391160173221025,1.2050148474892741,1.2293450990561783,1.3790839466926463,1.236316477796335,1.2246056458070542,1.2329578059588195,1.508131506165864,1.1904087321323082,1.1173092987632711,1.317153238211882,1.1905966771119638,1.1200573293609941,1.1463162125681747,1.2360762885820755,1.605030010461493,1.4032583843545303,1.410461466175404,1.2062496940931686,1.58365936593461,1.1769435400671773,1.2052297178916838,1.1407217847817723,1.1638589350943558,1.1568937839944406,1.1228335902670894,1.603764981628031,1.1858763895483504,0.9846943678780737,1.0264515783515489,1.032571911641856,1.096039821891219,1.0710990739194344,1.1758188782727863,1.1676333117337632,1.2828143171449045,1.2353476293929504,1.1796753080176996,1.10671695766581,1.1738698661613287,1.1078336768268413,1.087982233063439,1.0659766441984377,1.233541656380013,1.099480289666236,1.1389887389978914,1.084981902790003,1.0904351431363437,1.1063113511949494,1.0392462445015629,1.1871041884438986,0.9492578473426386,0.9117953648710936,1.1039955864721769,0.8377668258599383,0.7848742588152691,0.7572858742117987,0.7390696204002215,0.7171454103659654,0.7244660593867928,0.8055050493450856,0.7719879169876435,0.8905521249144759,0.9197854336927653,0.8506826934207268,0.7939429001097972,0.7301648456261042,0.6731463237580149,0.680286556053695,0.6842045430241149,0.7584741501726342,0.7781868767538958,0.77905768660501,0.8854146112965208,0.8092361769665766,0.8942796898186717,0.8427397579738881,1.0241912800971806,0.8357724413595786,0.8254402546325271,0.8957569548297146,0.720403849579032,0.7278890148464244,0.7183017004499769,0.8328017149851773,0.8631257810867992,0.8266935224259514,0.7586365572567161,0.8230270389345076,0.8402582177708987,0.7751412811669675,0.8320662535101903,0.8334829355821758,0.8072666026564002,0.8776837492708063,0.893295736437592,1.3878503618956455,1.926231291853799,1.3033023085287847,1.13208684888736,0.9614649197463326,0.9919988586086277,0.955481327396095,0.952682820351733,0.8634933493675764,0.9026292329448712,0.7912815063806579,0.8657452625084174,0.8255441367938703,0.846215771168559,0.845914141437548,0.8541975958702914,0.8941091111118685,0.9221078501242909,0.8290344366108239,0.7787055809327911,0.8320345320834659,0.8932619585854201,0.9289983447808952,1.0162572519453388,1.001196204724644,1.2616256403971298,1.0057670632231874,1.1361806295513306,0.9672397183638508,0.9584978945068969,0.9721389289318418,0.9386578528328683,0.9181551015946081,0.9692835639526184,1.0333354729990825,1.108009228912698,1.5587150364397935,1.7884336418541422,2.374877135747637,1.6155307736212445,1.1208500196478175,1.1565822831139068,0.9481225388896583,0.8892651747576567,0.9997813479316864,0.8544432106067542,0.8215038261733746,0.8694280908905171,0.8891916770314345,0.9787562455184403,0.8529360268531007,0.8552370175803505,0.9298183512239728,0.8962179190944298,1.029579512223778,0.9258947021437088,0.9870411091554196,0.9709445366846895,1.0838051091131526,1.0609690187223018,1.0586568705214172,1.2551440083263457,1.3315554355646815,1.3068541674837932,1.300965399561345,1.199986017162599,1.0855424011754797,1.0603793037148381,1.1109753711129515,2.5716798635752403,1.2992045767914762,1.6614853800680853,1.198650359629471,1.348036452925048,1.3906752167799232,1.4252654410645123,1.2055169967338928,1.0199839670722082,1.1802770655373047,1.0285635596012883,0.9764415796432497,0.9129272044770579,1.3349806887762432,0.8927548929591842,1.008097085118585,1.0410689198051337,0.8610599451928163,1.0047052481055345,1.1558174866737128,1.2594713601377454,1.5404723537491773,1.7343336593334497,1.7694372190366836,1.4611345280959018,1.4745288528577103,1.7783816380256947,1.5090767905990692,1.254672266266454,1.46742332711105,1.461660333208314,1.1557678502050364,1.254614333152299,1.3965985289930125,1.175361546372931,1.1314385426298712,1.2338621647475023,1.1246553980041796,1.1842955921895815,1.189014812830622,1.1965535104643803,1.0887220743900308,0.9685047888532041,1.0497293966597059,0.9820652922072554,0.9802440048892201,0.9101199453684122,0.9570248984168231,1.0181023281876007,1.0503427727559553,0.9696401547978771,1.0313478704101418,1.3260240586153935,1.3089921499260915,1.437894164768995,1.5936766644064,1.830702995488567,1.5179114118251749,1.5972555547146237,1.2436080124926847,1.3676244401197755,1.8943043174365433,1.7348145560667823,1.7869697355040735,1.7771689310574734,1.190175723786852,1.0882899235693408,0.8244141122024579,0.7393932771136786,0.8505304672633514,0.8674954186385735,0.9732955871179678,1.523881669478007,0.847120400131738,0.9826797063981246,1.1257207524331758,1.0334715253195697,0.9753782466334384,1.7640284304416027,2.135146606684063,2.332437424437833,3.5101726482619706,4.4949432502992845],[1.096092146812677,0.759451633933667,0.8966031626384442,0.6113664156013908,0.6398141459866247,0.5877091201485418,0.4840210161612666,0.5379550070887745,0.46291393993957064,0.4803334709767646,0.5186031441773096,0.5934598767096357,0.5422330417311403,0.5371750619498156,0.728693831491825,0.6663630113278751,0.6654642962251387,0.8043669952876902,0.9014560976083367,0.8558999858536154,0.9377489967065771,0.9699329562206804,1.0103264591088938,1.0227977748380792,0.876291451537303,0.8862292312760224,0.7552420820859373,0.6789493668990015,0.7013588640836854,0.6344825382918258,0.7893515685569763,0.6945033756234504,0.7967187956852557,0.804945770961467,0.733596217119073,0.7311711485276355,0.671782959767614,0.6887869436573765,0.6816733443502262,0.6606299632984977,0.7475158633611644,0.8419256239037708,0.880335376356834,0.8091658518822867,0.9225752828055156,1.0338416622311315,0.9376760104154012,0.8820271061012382,1.1147096195085298,1.3544378839099172,0.9402996365789452,1.1874405835991055,1.1381019775916588,1.1815540533224929,1.6588755761083214,1.0050639321851744,1.1632208145663778,0.9329529979528862,0.9437499755848338,1.2930593658212284,1.0859429874646138,0.9974962931661586,0.9786031441089552,1.3228700729008125,1.0220785430774393,0.8893250206357439,1.1652459291020394,1.0158702858114985,1.0737203550237164,1.0327206762468484,1.231384998032991,1.570525146779026,1.2864420002524926,1.330941830420704,1.0145677630322523,1.3855860568932798,0.9391792986790277,0.9063470458402566,0.8235843767652508,0.8335698106481856,0.7858329471761732,0.7792355510753898,1.3230517206251595,0.8372337359647744,0.6833987190767995,0.6981951647998748,0.7327230577706377,0.7494805366797843,0.743660526429636,0.8280766160060778,0.8773897771854311,1.0298129354898713,0.9317332826866335,0.8439687137745222,0.7880935145935352,0.8439394713490007,0.7955792015997414,0.7432927949863788,0.7094413640947491,1.0150844064157887,0.7354285733043774,0.7928030896507299,0.7045477177248172,0.7366172020902129,0.738021464619206,0.7065911171596586,0.8817492759343423,0.6263464627673921,0.6355087183031792,0.8600155540482943,0.5593436224785336,0.48322946302224523,0.4752675832123687,0.5173089028631683,0.5212367677372706,0.5680864865507176,0.6348833077921041,0.6589654366634521,0.796714890698747,0.7973578110967775,0.7504226214741455,0.6906882571299289,0.6333533643104788,0.5100480178055485,0.4998642145462575,0.49669291108414887,0.5035157841759381,0.5044199697331198,0.4893580191917445,0.5458214626699358,0.516654266180383,0.5627845694170892,0.5319466037116045,0.6896839730802817,0.5603064576055283,0.5681111304135807,0.7427742250207993,0.5479856829523265,0.5430462292804704,0.5473262105619027,0.7300218560650584,0.7877227664922665,0.7174877417140197,0.5774104587715977,0.5991776820027042,0.610488902898338,0.5366296936357977,0.5615409368787225,0.5202239102037824,0.5176931215894458,0.5878752485205335,0.6725714019189091,1.1989102724701455,1.9912823065034468,1.2962374550210958,0.87452647164155,0.6197706100545496,0.6656181297962633,0.6284681665685629,0.6217702155673052,0.5393499004770245,0.5932219757604604,0.5536533447943796,0.5926611674526564,0.562007759569844,0.6344717962421231,0.6138258418114323,0.6838236917881283,0.7399845804733167,0.7753510325792484,0.6193227886584534,0.5540167662621557,0.5457144100260376,0.5697069301768594,0.5824474980026801,0.6404151021738151,0.6566568908915084,0.9316175346658488,0.6532443509441193,0.7561555886858138,0.6102604688321045,0.6079981963902862,0.6165667330588382,0.5705266292380268,0.579927151488391,0.633587197002921,0.6811388689077252,0.81076927356345,1.2109669856872372,1.7330848226944282,2.3650049568072915,1.4279019175057885,0.8677216620452239,1.0538496645938202,0.7806227408908477,0.6220281823322438,0.7622632939716741,0.553287527243055,0.5904387091460477,0.6298260381872374,0.6362194271409591,0.7169787856120181,0.6066896795662818,0.6439084944707889,0.6888779830878321,0.6752727992956682,0.8530900064561647,0.7424248305922563,0.8029288055667592,0.7795430000510343,0.9019366595328869,0.8681921494001691,0.8664744260152849,1.06073239019738,1.133028700498133,1.11011274769459,1.1524438615795733,1.0808411400627704,0.9371331475467806,0.8895488143558469,0.8977485326698871,2.288821171783886,1.1064071367605557,1.534239146746921,0.9891460563209203,1.0840844542235124,1.137400707340962,1.1415402185285222,0.9383994916795073,0.7625685804663619,0.9391804165836256,0.7666863482919152,0.7739929337352479,0.6745297363665624,1.100752674500831,0.6626390194120203,0.8534541388635415,0.8692415431658068,0.6401035326927499,0.7167169883985995,0.8635504138142243,1.0055857045596888,1.2695010867930345,1.4692687193491114,1.5229703229599019,1.1945880448017816,1.2369683466486705,1.5648906714480417,1.2790419540550915,1.0425264669536218,1.3175519266171747,1.3489913913491027,1.0142323457405877,1.1120114259658214,1.2836129558024116,1.0839342869910347,0.9839164970039099,1.0926864898284623,0.9776175558647462,0.9993324259726634,0.9707480332537795,0.9547673073725984,0.9173019618599931,0.7826131545125062,0.8092637355873616,0.7709636224570807,0.8072374697725612,0.7336892463393544,0.7548720537900164,0.916329351969892,0.9644788323730952,0.8316032360466723,0.929828217938948,1.2171713800022828,1.2405869656200976,1.368165599540283,1.5541336359872637,1.7949361155011527,1.4669209362660514,1.504476687280713,1.1178885266817598,1.1907072919443646,1.750482652483059,1.6614940754181835,1.7613597337390035,1.7926267415590824,1.1053056166990907,0.9471426483736545,0.6311652661612793,0.5315953309159748,0.638296723639322,0.6330481142943136,0.7511388565563745,1.4797970451309066,0.629753815677712,0.7752219283901163,0.9556848224694314,0.832630713463516,0.8554378784423352,1.597070746958799,2.1425354658600986,2.3093494860767367,3.3866450230583447,4.410128078451841],[1.285748329670777,1.034858535977998,1.1467808892198135,0.859496827274006,0.9641047610692188,0.9440633303493631,0.93275436031741,1.0945593068534731,0.9942281491576963,1.0147730930664092,1.084833588162551,1.2089786614721707,1.137269907705118,1.046206663880274,1.214935366630553,1.243201683393827,1.1798680525307577,1.2750076072903966,1.3136774567662468,1.307585493203197,1.3419646528328937,1.3602604959960063,1.4187889186410918,1.3961927107104897,1.2982665231944628,1.2907185116077102,1.227268252295913,1.1638194103226431,1.2224912815747875,1.250350192086846,1.327519404541614,1.3222412565887862,1.4446611651460448,1.4283226974236127,1.3653378928114694,1.316941194641813,1.3237195726989306,1.2517695470028434,1.2165113778394019,1.2070850762028815,1.2434124501294495,1.30304337168072,1.3623508674547187,1.3255676556224472,1.3785975182983503,1.3989587165217745,1.4165463440867512,1.3635843843291542,1.4826755518397048,1.7501132727795743,1.5263965643229385,1.586973008582169,1.6147722545310916,1.6122575029835753,2.0720251453197034,1.5264960152693634,1.6564933769866408,1.439867729139613,1.4739570726638807,1.554022163437693,1.4968006913238066,1.4398428703758885,1.454961108450263,1.7158271795872866,1.4403105074464035,1.3461583233685521,1.5267940322848215,1.401779583397531,1.4146003425560243,1.3608223516167288,1.5099912521517076,1.8023808093355949,1.567476788107568,1.6481606142728165,1.4249620537174876,1.7546594499451507,1.4031956126999605,1.3956461124870299,1.3660828589036271,1.3848290399699592,1.4078731716995112,1.3786641806727835,1.7398928275241046,1.3118524605273514,1.252415417217138,1.3056965063997907,1.3176885899807131,1.4207083175153254,1.3171418674553645,1.4338388562070807,1.3722400102971668,1.4802937613204976,1.404899561322402,1.3779916867674378,1.3375224694755716,1.349831628550088,1.3420452901095756,1.3671077275967842,1.3714066522144348,1.6473037488800888,1.4513937004427446,1.4887608188172932,1.4256911134714678,1.438753649459128,1.4189970138973311,1.3584503318558434,1.462731149197147,1.2482615515784004,1.1761160682835066,1.3228037453006063,1.1224498626657944,1.097627712234937,1.023579650009129,1.0170404658666963,1.0202469213111303,0.960056940585897,1.0668409826229293,1.0115700281052586,1.165184138633722,1.1832410823271906,1.1072200114198816,1.0505594654463601,0.9308971245482828,0.8896672057533979,0.8875169852821402,0.9197766152178174,0.9939244378484067,1.040053011994984,1.0431501859153383,1.1420694577554735,1.0587186028657325,1.1706045678956094,1.1112566090301326,1.2544853772874875,1.1248560034659671,1.0893170275560216,1.107354343779133,0.9690376538091845,0.9411397429196273,0.953599010926867,1.0159536986945272,1.1189405204150535,1.0861040348967914,1.0155668114206575,1.0921941865796623,1.1310495146593231,1.0651851078033363,1.1648096211174153,1.1475980712954852,1.1273432477521317,1.224367521539979,1.2972260026008107,1.6770196138834759,2.145850036855594,1.7688540382727302,1.5047318618311611,1.3307213308739982,1.3594229237877309,1.3133675610705395,1.281398987432672,1.169044591338451,1.207660330216656,1.0843672262078676,1.1533720695610286,1.081813340499259,1.045153403462962,1.0679351696396053,1.0749094920447102,1.072113901757321,1.0912244669102193,1.0365186156662476,1.0237399648037875,1.1046679064498506,1.171497098505365,1.2197708683653141,1.3245027116401742,1.3140569182950756,1.5380192625969216,1.31984863774345,1.3709958936279742,1.236499691320573,1.2696207556215593,1.2671453686613245,1.1873742401656529,1.178622342780353,1.1959501531762837,1.2823381232793916,1.3515977574764395,1.5816196919863383,1.8641436029431508,2.477921794808661,1.75012322554262,1.3057006194277139,1.2491737459603343,1.1161213605804532,1.112864916747481,1.1370203666448047,1.0498886340287803,1.042240839125273,1.176074877481996,1.1128387915889975,1.2056934628414762,1.0971553586285,1.0567629239067873,1.1150189869646387,1.0913124824472653,1.115291208558862,1.0688375437780122,1.1829165428538235,1.0795880510236073,1.1389167268506146,1.1547830211633054,1.1590658601117685,1.2456395180492186,1.3143905006405154,1.289603601637748,1.382343240504354,1.2707112676768957,1.2044748477563085,1.174045652106618,1.1715251320474849,2.376535525288984,1.4031910687690665,1.8955562186052164,1.387594328801854,1.4766186505074022,1.5225174519266576,1.5449633524841233,1.3367829837480585,1.1981963466526142,1.36433950081852,1.227908991048478,1.1949045031609478,1.154411053280005,1.4195075478014854,1.1259548540697952,1.2204812805203027,1.243918058779191,1.102336882823776,1.1845667714727626,1.334669687858592,1.4129809077229551,1.6784768812680484,1.8693931775129728,1.9327104442883989,1.6069330748876052,1.6447150104589143,1.9497028230382063,1.6845513751103123,1.426845777289872,1.6651724114852575,1.6795567965471376,1.377525989373801,1.4721960096198703,1.6260178091614772,1.4188788929707328,1.3155450419691603,1.4258166805502965,1.308958555983235,1.3788582597905295,1.383417627335007,1.387680570899752,1.2955964000759745,1.1695721293875303,1.2346563907248125,1.1705652928592651,1.157101609721477,1.108868320031438,1.1539386408517456,1.2002158518548038,1.2249239178078315,1.1490899586866727,1.2266460503685905,1.41538022884999,1.4241351049084485,1.5384573090461198,1.6903709151998592,1.8995125266014767,1.6206966376942231,1.6327241990875243,1.3124449463534342,1.3542234411386502,1.8655342224453235,1.7923277479128301,1.891619752098534,1.9564517941091935,1.3524722233717503,1.2280561904017686,1.0561992590920284,0.9663740634322531,1.0689487016395414,1.1256737368614296,1.2028145766814236,1.7133160860568042,1.0984816548591192,1.1469295092319902,1.2772838613721376,1.1634992692327735,1.1397938802986112,1.76880854595077,2.154992751621524,2.2300277477295247,3.289225162215713,4.2431569151771855],[1.136104751019682,0.7284595209023131,0.8063137063057714,0.4882397976606172,0.538784216023474,0.48339889044274986,0.3501389105324765,0.46263460165144343,0.35868721225051015,0.36699752975355465,0.43310084983453884,0.5377924190145676,0.46466471295873524,0.45517730713774085,0.6827500111390791,0.6263685934604576,0.6136982225536566,0.7757808883261933,0.9210800752953809,0.8534718925513013,0.954962352622067,0.9892930644277675,1.0535771865773886,1.0737116839382264,0.9122903667413912,0.9150881558498484,0.7500320200943,0.6373331091710203,0.6562369720799975,0.5814321954220382,0.7589440659698077,0.6621181505136743,0.7810897970885485,0.7859054404675945,0.7038981723409401,0.6984940467853942,0.633016848569475,0.6473269283675697,0.6453310540756235,0.6143431556913286,0.7401769174807518,0.8363223206915371,0.8774246978197275,0.7964273381276684,0.9294182514341669,1.050249837515924,0.9446079439128198,0.8548887619091552,1.1081167583074445,1.3610136128299275,0.898481803753233,1.1461533997936115,1.129072392239739,1.139907242713286,1.656813261822893,0.9991903050484848,1.1216177174890367,0.9429414776705989,0.9538642970688996,1.3175927261738412,1.0786237518658346,0.9865427591175614,0.9614451008412634,1.3402334079472713,1.0512425215003531,0.8929836159741099,1.174971925920463,1.0155884963474187,1.1076075393698357,1.034829846588594,1.2418209136689768,1.578530275744951,1.2915403832611299,1.3914033892780073,1.0154760440992558,1.4009347280044566,0.9395759819823453,0.9048876940475891,0.8133137024208964,0.8103120094551974,0.7598903114333407,0.7562320872913099,1.293368191406597,0.7475777585758213,0.646661775379342,0.6499101280356694,0.7075146758638474,0.7235554253542715,0.720816282006018,0.8087711151930064,0.8626997126811813,1.0226064988720327,0.9190088680096368,0.8266191069916428,0.7582908049210741,0.8150758182929323,0.7465831205797016,0.7245632040866966,0.6940560310354242,1.0104721226770794,0.7219379421674899,0.7997494513826974,0.675678805616814,0.7173657720044806,0.6943762082727948,0.6851472945094531,0.9002772610771931,0.5880148098392917,0.5964791256474198,0.8632775618245783,0.5179760185069329,0.39993420979204064,0.359791903228049,0.4054728896623118,0.4246810500691772,0.475392976982052,0.5703859707022249,0.6020911493977515,0.8018255314820384,0.7555230313482735,0.7157392748138336,0.6260688376919142,0.5389728829505429,0.3793814395406628,0.35622584117117123,0.3686386541372566,0.4219959743100237,0.4071160749420667,0.3982970575810733,0.489735684362434,0.43366465517687364,0.5225387514230531,0.44446707446340716,0.6321186864091127,0.4819614730315234,0.5051171647556216,0.6938885804329964,0.4246847656252949,0.4302571627508391,0.45926428447370404,0.7085457506422957,0.7596752103900701,0.6627670535214433,0.5120668697938296,0.5502051609580093,0.5622841028850025,0.45986815199682224,0.48256318249141456,0.45136744758060965,0.4533477602088286,0.5665558781819994,0.6589641472551039,1.2335095891146866,2.011041685411976,1.3021884078238848,0.8916839939797656,0.6090616168307739,0.658615268933657,0.5945016715114211,0.603829764955577,0.47695031453623665,0.5451531312312058,0.47219729613600947,0.531544669911533,0.4910716325746474,0.5839291151811079,0.5312529610915442,0.6461477579983439,0.7032354731147156,0.7320574624042786,0.5294359414431197,0.444854133640776,0.45670074730590743,0.4908793379665758,0.5143739674196259,0.5913735342575761,0.6098520870973686,0.8933628892578244,0.6071697347423727,0.6922286853693116,0.55019302422451,0.548823371847272,0.5434732091547447,0.5040724791624801,0.5134073461247435,0.5768510346954644,0.6296290345182552,0.7598736871883478,1.2079643213040838,1.83191890493497,2.4342890789078,1.268050249579274,0.8116361549603108,1.013634744781435,0.6755576511333811,0.5187031677768351,0.6500321589257079,0.47325451247067446,0.5223570531132383,0.5935283496556589,0.5666517083599172,0.6833493384783814,0.5387125196244212,0.5776016270557173,0.6530603920498548,0.6332865112602475,0.7824503352321038,0.6796512440978602,0.7986909329447768,0.6949447801520003,0.8189055477053953,0.8077729138172497,0.7939792731119935,0.9536155426353914,1.0455269534207996,1.0485451242026746,1.0870862842086664,1.0654123358356544,0.894479196548416,0.8597874869971704,0.8853824402359708,2.230953735595697,1.0810083250643787,1.5309218678685361,0.9618919207879698,1.0569579886652245,1.1334127524167907,1.1153697463266636,0.9174372528301242,0.7341255778075042,0.9258491936596461,0.7222846627640098,0.7644494275828012,0.6423552366861223,1.0319288132821864,0.6606192386023293,0.8591066560268602,0.8359037768967902,0.591695754499364,0.6485748539824135,0.800697994372194,0.9914519398091132,1.2812285112107795,1.5124613091662982,1.5527154812589121,1.2206397502912163,1.2938228925303923,1.6491095551781012,1.336075159295165,1.0894203577746349,1.4244825489999846,1.4798567680746875,1.0938886200526157,1.1985381377603805,1.4121178801118968,1.1964483225460525,1.0208434738594063,1.1676716365208615,1.0078730303361119,1.047085817302382,0.9996792148777327,0.9649866224620373,0.9271304674364321,0.7521288888783627,0.775471887854604,0.7430722560211067,0.7717816552741715,0.6815276230873611,0.7227480449793312,0.8832304454873622,0.920397939141568,0.8204772273107511,0.9303856986910117,1.2630479544887017,1.270396794925164,1.3909852792115005,1.5934819511327347,1.811272498681748,1.5186750703096097,1.524871694854973,1.0841521022437566,1.1086260345253374,1.7515613091154627,1.6853756512785798,1.8292390800159044,1.8468238881236907,1.0905613993286387,0.8861313376386074,0.5693151700427003,0.4633641126079507,0.5730095335131121,0.5881606142888163,0.7330917177713624,1.4833299758453835,0.5809279191381773,0.7017028422076285,0.8583207973577212,0.8904873275517149,0.7074305401051217,1.3739333265903755,1.925718263659609,2.057308776891809,3.190094435084807,4.023345829722965],[1.1175457788795196,0.7103437997525461,0.7436320913359096,0.47292392058373955,0.5214277416731957,0.45693738333301565,0.33178090019899636,0.4373081867151332,0.33601410916732005,0.33758893727375416,0.39558478015120985,0.5090573913887282,0.4332764306411134,0.439654907069829,0.6621035549393199,0.6181651008075145,0.6298999592821347,0.8127191278436807,0.9912283858798251,0.9207544145259907,1.043605988322523,1.0709798316456667,1.1634354663263307,1.2019966641095228,1.0055667661414394,0.9933544567875778,0.8029860137848506,0.6738713013834647,0.684156580595272,0.5983918498190588,0.7743965996533263,0.6616020336675499,0.79572032381206,0.8054726170406775,0.7148756312922616,0.7243604293282248,0.6380925168768703,0.6871002688962291,0.7005499952747428,0.6766382924390244,0.7954685913871303,0.9054360045925958,0.952815434007611,0.8662235365674757,0.9918413356174821,1.0986730904395994,1.0142213457212168,0.9348308620015829,1.1643029175510249,1.3546299965847555,0.9152967422209817,1.1579583245584224,1.2060890829993487,1.1387473726471937,1.6174696388533565,1.0306350842792493,1.1367967814498943,1.002708361074712,1.0043122266829136,1.416077108942963,1.1878773411290096,1.0658698002959834,1.0363054846941278,1.445337739727701,1.16745707513047,0.9683380325706649,1.2428829884604646,1.070502980305173,1.1759226223723391,1.072320153862259,1.2926788718408566,1.6345921306036768,1.3180014960336992,1.4687465797704073,1.0732931134312533,1.4661317724994685,1.0162013845677746,0.9688037263159117,0.8713996762104356,0.8577580236817397,0.7812243575169324,0.781270060073711,1.3003959177035558,0.7493724637523533,0.6788605710921961,0.6652924605099196,0.7552629946867384,0.7401178500988056,0.7693574916162188,0.8321815704935885,0.9044156078035845,1.07506076894015,0.9442771622411664,0.8387834772695824,0.757264877680697,0.8032487253870758,0.7274641664783926,0.7155062135707794,0.6646299402462217,1.0045486391838998,0.6953867844043027,0.7644630294929923,0.6360759393812254,0.6575917789055244,0.627359257623724,0.6212517277431752,0.8375991421444255,0.5295609044252856,0.5418602211191585,0.8452406467748861,0.47090704410405,0.3686694928144201,0.3412984262142373,0.38834699141607926,0.40663948845727266,0.48518286936461613,0.5808492432726706,0.6413067671183782,0.8435088033879541,0.7950445562741264,0.7396753012372648,0.6384288329053643,0.5572467799612716,0.38653925149386803,0.33623781524423174,0.3644250460618687,0.41108929359585794,0.390046095253812,0.3622645328632203,0.4454250475378359,0.39482644420409174,0.46024906252335307,0.4091053922654137,0.5878669241722211,0.4671480471312009,0.49601743033897777,0.7017670291366885,0.4225702469164046,0.4353486295043096,0.48616940936754854,0.7604601020456607,0.8498456780123342,0.7154807975611249,0.5507753067959339,0.5882296613785046,0.587559487600361,0.47682121315579323,0.4664857901924946,0.4324069837902535,0.41754819280356414,0.5264563849536656,0.6395139064269427,1.1803867033221906,2.0326915119609774,1.336216845881647,0.8540843310685465,0.5684381592284562,0.6032698948830678,0.5622578241100697,0.5362517089208538,0.4418763695831756,0.5318583699630411,0.48799661723948723,0.5507138870935768,0.5000380292751441,0.6173369831293711,0.5663201157801715,0.7015884843648564,0.7410332859528977,0.7769663087022453,0.5592325158850142,0.4565132605313456,0.4448033422527377,0.46833617403192157,0.4920187937855787,0.5714794275550228,0.5926783343521964,0.8599567266305378,0.5904145721045967,0.6589533556560175,0.532350699744606,0.4922558530748019,0.48573590595993354,0.4785926952036212,0.507219371899759,0.5934668879543264,0.6194263751791173,0.7997396875249588,1.1319385352062339,1.8905407896446882,2.497587964242233,1.2186234129190627,0.8176607978348066,1.040531733245895,0.6746015552814951,0.48121596044237536,0.6172962614585923,0.44523345902107453,0.4888504573569913,0.5540402434490397,0.515164367098,0.6337270173821297,0.49174005874811927,0.5388781318744831,0.6145376795369066,0.6031806297162803,0.7475445185697768,0.6488590008947045,0.7774021502052517,0.664236071167608,0.7801658464550701,0.7851853130397041,0.7849735234825358,0.9097034054155039,0.994824439500691,0.987514564225182,1.0549321220358758,1.0400068795951,0.8599977000389913,0.8348023569903569,0.8536638142457761,2.170057346236956,1.0557369080443926,1.5202740238114612,0.9290716785071158,1.006434667772295,1.076484772819669,1.0458293513729773,0.8597255614182273,0.6766196063807941,0.8588269846558432,0.662742184638697,0.7356681981863415,0.5911891493363918,0.9892345977120075,0.6541466920936174,0.84738046902841,0.83904486153989,0.5664256352040672,0.5935503682259594,0.7399478201912882,0.9351413510358652,1.2280954028618607,1.4513003639220834,1.4988937695581925,1.162689481638466,1.243815095625301,1.6039821943069694,1.2822042238462594,1.0552994135149907,1.3956424923933441,1.4569330522290436,1.079404769273242,1.1821210885868918,1.4022331856371626,1.20046993317071,1.0186831133615493,1.1627166158528082,0.9913310358248972,1.0237477291798598,0.9651703480869207,0.9232798496726724,0.9032696902445415,0.724096245333451,0.7336794149649883,0.7096376288876628,0.7438935450441607,0.6538974882673918,0.6914704750210213,0.8827636506309288,0.914076252637475,0.8103388336753178,0.9236835498651378,1.2703431350704615,1.2701287540892943,1.3743635233726204,1.5961961608922075,1.787353071171295,1.500426892873965,1.4713951203153735,1.0343849394734592,1.0307325089079769,1.6555442655167496,1.627174573944935,1.8017482364054616,1.840346580364929,1.08430420225394,0.8569111757368527,0.5322510320153083,0.43633066243566965,0.5346275721360496,0.5467866321618493,0.7014878688541014,1.5002562155736014,0.5490203885118685,0.6753826531800189,0.847956179196243,0.847846045594894,0.7118209618043952,1.3421016775562815,1.9575811459304375,2.099249605941549,3.198448418560505,4.059492289694447],[1.1783157913756883,0.7909134478878532,0.8026061255556189,0.5290765698638726,0.5562230133217378,0.4866231704306571,0.3597330190388553,0.4890042077127054,0.3680813524732977,0.3345617764013014,0.37863837151559543,0.4917954211928236,0.40400417340648953,0.4094098543494707,0.6254084445865872,0.568184558228232,0.5839720885075708,0.7543292620087774,0.9202108565079564,0.8502451701174328,0.9691808221583219,1.0057238511711561,1.099728195777511,1.1253785689567453,0.942449134993922,0.9313047706831579,0.7426774350712976,0.6194260882816433,0.6307529430279137,0.5515323612021915,0.7156966515144825,0.6208516965223116,0.7403320138469944,0.7464599223433426,0.6563969827981246,0.6607980928098025,0.5907167210479953,0.6302323665375503,0.6414985437358232,0.6146906338331151,0.7427288116046369,0.8463662970828275,0.8920076835839036,0.7939332467496221,0.9496845242063141,1.0836862085755066,0.9911871516906595,0.8685516382099638,1.1410268060853204,1.382887301817001,0.8582075022129262,1.1235448050700136,1.1238764328831523,1.0646394808218236,1.5800791792660547,0.9597143520598695,1.0749350071436434,0.9502951674384351,0.927533520315095,1.3863774195985543,1.1023671635397019,0.9733505893983811,0.9520366496434762,1.3331797066265079,1.0705866632323064,0.886263769905517,1.173945316410017,0.9998012975515933,1.1152691878490302,1.0062773340928535,1.2364010345264362,1.547453380690642,1.2525624728832971,1.3999551156247634,0.995562912699825,1.4081478572090296,0.9328730985759423,0.8912992230635902,0.7945853911980214,0.7805812687521144,0.7178194732453274,0.7302995372277318,1.2579092648693233,0.6904226997173993,0.6393651157157338,0.6180128555326585,0.6945301841293361,0.6699973947255928,0.6978404718635246,0.7694672897009986,0.8343240334614537,1.0125306726666479,0.8832415733700058,0.7891140921320186,0.7185941063908429,0.7721161311582222,0.6856440584211129,0.6808591865950528,0.647899838952115,0.9824188746967133,0.6765556658373175,0.7597411895087661,0.6090777767821653,0.6625397063722204,0.6309159946402595,0.6427687384854153,0.8694625658739226,0.5624805033562148,0.5899218206829839,0.860980007402062,0.515782022501608,0.38834009843712086,0.35913025414281097,0.393087545431801,0.38954363743350323,0.4557083660344825,0.5406568388647558,0.6039076013369853,0.8131090831327883,0.7492354083104306,0.7071722335344178,0.6030924938862364,0.5179297963082555,0.3653816906000824,0.3405516377321073,0.38585211225017263,0.44923267963685976,0.41974169312052473,0.4081373078923686,0.48079335292581177,0.45301761646411637,0.5155005289149597,0.4358072780017624,0.5939411430689446,0.4755253489270087,0.5200946132523743,0.7367458477356841,0.42407386868505087,0.429820662882659,0.4683681996970785,0.7351446751919118,0.8064517061384265,0.682607962023923,0.5154495562867455,0.5434768239639594,0.5459545363722338,0.44136262579963415,0.4453877348458091,0.4195325511080461,0.4358082736880599,0.5525011977281509,0.6571193212518495,1.191111985843526,2.0461526208541656,1.3384525634162874,0.8554198953019142,0.572442681235131,0.6128405495500353,0.5393286714954035,0.5423590786127456,0.42841580667443574,0.5015960581988983,0.45608140663249935,0.5122408456907828,0.48011888545357156,0.6186037109933531,0.5686534252881752,0.7218158042126017,0.7717295101884301,0.7912384813612992,0.5659851674435351,0.44610192444530017,0.4394078370600799,0.44989009464454505,0.4629864392215656,0.5384971151024416,0.5659556292100874,0.8324984047889293,0.5536174033373463,0.6190630348707049,0.5110590063008726,0.49251835928129706,0.48201469716408335,0.4617700732285669,0.47917336984718095,0.5501515583213172,0.59878243270155,0.7342780016577769,1.1885205130012184,1.9586447355826742,2.5298014302848233,1.1389172304749777,0.8418343442103512,1.0569556485124914,0.6833410899670062,0.5279504245618858,0.6464007825567226,0.5048389656526755,0.5556751865424377,0.6164407767630213,0.5861684034740821,0.6953491963675354,0.5633446086425677,0.617638685332474,0.6926725782862854,0.6855381412656225,0.8143621564123554,0.7298399138825167,0.8779698836808071,0.7431197079455854,0.8461854768138297,0.8757817096094727,0.8911432617771836,0.966404444960311,1.039868686330919,1.035668170160061,1.1193898933260022,1.1077700521688985,0.9272024646142543,0.9210712154929666,0.945099635992023,2.1278966271415847,1.1147117325361264,1.5893666457623556,1.0068337163248668,1.0441816612070203,1.121092507169563,1.0579456411173167,0.9257685962767443,0.7507020938792721,0.9172137079856225,0.7247157453086157,0.8089688968489293,0.6794133220780162,1.0448277211618806,0.7536494966616494,0.918412351394278,0.8816551697995128,0.6398563523881363,0.6457082552185703,0.760169353091837,0.967305347745177,1.2483602733951407,1.4860609716058781,1.5297866075161557,1.2038529619530003,1.3068117759872568,1.6514249128991754,1.3493798010339553,1.1400573985713458,1.500955910752292,1.5822070542252105,1.1966552632194063,1.2956726590294416,1.5339534552745477,1.3569162789302405,1.135266504759174,1.2769180544587566,1.0928187328777483,1.1212394668411998,1.0520420662454195,1.00176120425052,1.00534420526644,0.8227457713111426,0.8136694803516858,0.8026015941856435,0.8293829617984008,0.7349955133640493,0.7753426977328709,0.9727899622079242,0.9745298673715663,0.881010029548893,1.0132939016308076,1.340894805140143,1.3358572499731933,1.4232677358496906,1.6457173816194381,1.820447780659459,1.5562535568960978,1.510587553358498,1.0718792706371265,1.0452167483638224,1.6746229200684157,1.6750454883251393,1.865343706725871,1.9044147378618523,1.1434102458881907,0.8928226517465884,0.5932523512904005,0.5055210823949629,0.6069568257347613,0.6186779970946854,0.7825970853259258,1.5246237770178814,0.6279127528118964,0.7540965674390432,0.8985746530519096,0.9531281726569601,0.7699100549342275,1.2946177983743723,1.9015817603275407,2.0454979763167165,3.1440989651011506,3.895686975839306],[1.2293267761838818,0.8272933744717543,0.8610938599230138,0.5535450580212801,0.5978573519197288,0.5394275268708597,0.38280912324581884,0.5114221644371436,0.39856803282197883,0.3796633193565386,0.42759808427771606,0.5345047018980381,0.4451245089462094,0.4652318559295823,0.6523769188715953,0.5889187422916011,0.6021030822051635,0.7298892844355358,0.8844443648409774,0.8157026416472626,0.9172281600572055,0.9635818463465909,1.0453044601222325,1.073243877001325,0.9019571234135927,0.8915021986047122,0.7138313048688071,0.6080850942865728,0.6222715661567398,0.5527052980538278,0.7057524834921646,0.644508630347073,0.7328875866247869,0.7362786035571018,0.6598787045241631,0.640187232021538,0.5922229996777796,0.6156058153578859,0.6104863025881881,0.5786524996191756,0.7204809819020704,0.8145993555179383,0.8540522211138043,0.749369589857474,0.9146708324637848,1.0769298164873213,0.9735324814492258,0.8192133102624701,1.1358284366523073,1.4044225595675401,0.8447038298001819,1.1286092618918395,1.0688589741441374,1.0354320539875734,1.563315804574598,0.9415991782148796,1.0477346640268796,0.9121698431858908,0.8995660027221879,1.3659249592057696,1.056127363406756,0.9190685014190966,0.9076397063260533,1.2895243534578151,1.012366362347094,0.8395981637403285,1.1390846796952678,0.9697043490137692,1.0828604272947702,0.9822338691242486,1.1919851874104428,1.473935506736925,1.2221531893276107,1.3550165177074094,0.9619762759219985,1.3892034590355957,0.8943429024825028,0.8595708794003218,0.7623616108622767,0.7540989552201984,0.704473437873359,0.7097181645436724,1.2279191588152367,0.6583353119814167,0.6155550319158586,0.6034976797630993,0.6747468099181596,0.6671634030518205,0.6712163594178088,0.7451671120989292,0.8111935023125812,0.9978210293468798,0.8688376915931181,0.7794125775212273,0.7183165936150363,0.775045525246478,0.705415086874175,0.6937514121632012,0.6781238328399654,1.007553212721807,0.7005525442690831,0.8039581426240878,0.6428466793146381,0.709444033587006,0.6709998517622517,0.6899468565347193,0.9568970834924996,0.6215396452551264,0.6525059663026832,0.9118637438596343,0.5745135090920764,0.43885460689071126,0.3933675895259407,0.4181365474676637,0.4363573514734915,0.4700740711983916,0.5579970141269962,0.6174626176869218,0.8217891404149343,0.7595785934346754,0.7203320961953252,0.6243638625713362,0.537309306879658,0.3957307239874494,0.37727580992666054,0.4247286657833269,0.4864203504586836,0.4746965143443324,0.46854624312977516,0.5376295726022763,0.5233357444191958,0.5949109531405349,0.4968694418230953,0.6311014388351714,0.5200356761141147,0.5639402291442225,0.7640321065018536,0.47741131248288876,0.4652436288214014,0.48364510153054735,0.7534120444977627,0.8092104274672288,0.6952226848190031,0.5339035798972613,0.5443930024290116,0.5464512600467026,0.45865785433654066,0.4706978123512388,0.45247504860048254,0.4812550098129099,0.6042615180348064,0.6976825854830484,1.2419995625018716,2.0450672128095695,1.3273912299536572,0.9029540120903099,0.6102791767852184,0.6654714636357932,0.5705926359619362,0.598035664224504,0.4596251782722489,0.5157195944967703,0.4832960847163715,0.5139966840923609,0.5142215233964058,0.6501916753634296,0.5841753187265539,0.7667898312326,0.8235914886219031,0.8280681147405353,0.5871361426585274,0.4740145188598658,0.46557697221097316,0.47133398971284735,0.48408123111357454,0.5626197163185795,0.5875953518914553,0.8445116789592817,0.5639594499891389,0.6345605320405912,0.5322479282313498,0.5313394591939686,0.5257365781884437,0.4981557716915696,0.5183805387546471,0.5597094035218548,0.5993240516051115,0.7139813280450145,1.2514519749742867,1.9686150763247061,2.51995048700587,1.0963211620469002,0.8624208605796955,1.0603071710540466,0.6865231187781761,0.6097177951489278,0.7029075401462549,0.571183291297961,0.6237472316525825,0.6892596239153611,0.6490751262758986,0.7704816897474178,0.6391775644915308,0.6763523629317935,0.7702534909811644,0.7643035270131622,0.8461712946739786,0.7837789592248615,0.971066405571411,0.7982692181780752,0.8862047260716134,0.947480822409309,0.9775008098520337,0.9866860897264357,1.06565823111333,1.068025956571152,1.17016044756266,1.1569461812644952,0.9696320062888004,0.986572003972298,1.0380941184682975,2.108381785240458,1.180605862718629,1.648940901352169,1.083746016526566,1.1252512883390706,1.2078112171426665,1.1180833327513826,1.0027050247818023,0.8209471146483263,0.9862264739257282,0.7765447068353992,0.8610390070289309,0.7367714309506032,1.0413212883824898,0.8576691540255167,0.9767865526652305,0.9136803104712883,0.695810728551458,0.7038294516808553,0.8089009041948485,1.036357303280864,1.3139368595883567,1.5766383267313393,1.6073915951879032,1.2843617413428328,1.4071626141458198,1.7463094978611349,1.4560480361598596,1.2421578943815543,1.6308974338919693,1.7225810012982947,1.3208152590321764,1.427396777719122,1.6868214278567835,1.5129225368575694,1.2570708946470277,1.4084948715177839,1.2032684785092633,1.2354673089254027,1.15530354661156,1.098891698666442,1.0984734884124547,0.8965476985631988,0.8892392108231485,0.879617247760459,0.893854811533839,0.7897908716395334,0.8407786709411295,1.0455428996515987,1.0277286732913231,0.946685569756314,1.0763259143116737,1.413470009698199,1.3982068975688622,1.4774766069206489,1.7078967710517134,1.874245729266371,1.6307286150348792,1.5748675605076814,1.114786533448623,1.0680491273665274,1.7325433883906114,1.7434521415745612,1.945287478520533,1.9638823209620182,1.1824193040583286,0.9357311645937936,0.6638126806475239,0.566855312699443,0.6692539421488767,0.6958871061916775,0.8705531833732115,1.5458963736935478,0.7015092343762716,0.8225712652439493,0.9543354477723871,1.0669144586923767,0.7872488803069518,1.2415126704950217,1.7934779490826736,1.9318618864114008,3.0750084220448324,3.7523087045329544],[1.2296646166165621,0.7715567645598356,0.6491521269155934,0.45986201675175936,0.4990340725909671,0.4725474271091283,0.33957250705681435,0.44181651124243776,0.3804613249229813,0.37233412295586227,0.41659458139188194,0.504834003179842,0.42727700332336616,0.4506625361389661,0.6097486373213099,0.5550136905596492,0.5973535519410316,0.708243030707997,0.8815464704387833,0.8193595600033656,0.908847821997403,0.9650571946590764,1.0480972533163044,1.0852422942873372,0.9337972194705281,0.9123273651198253,0.7590261109228619,0.6326090928289377,0.6229714766947493,0.5411567225302697,0.654991876915641,0.586208082770705,0.6821914809169091,0.6852931083378344,0.590777232751599,0.6191748520326417,0.5607136830871744,0.6304179206921892,0.6321848496599483,0.6012164835947829,0.7778436449114663,0.8449174603674383,0.8641871630376543,0.7769348767966123,0.9928329390459275,1.163641747061732,1.0765423737554394,0.8454948762041773,1.1455924311424481,1.4184541434244795,0.8528755181626524,1.0940196105470839,1.0576871752385288,0.9619376137892426,1.5068320441913967,0.9389899867112721,1.0202907400819026,0.9459855371409965,0.896619252437142,1.475631636391938,1.1060885730732315,0.9219255103158966,0.8856584686603219,1.2682587103301526,1.0174977156028588,0.8357188142722588,1.0976688454759753,0.9364034456125714,1.082354171858127,0.9490945156536335,1.1441025340815927,1.406026197778906,1.1510907677655473,1.3288319692848303,0.9193320058906364,1.3223936433827064,0.8612646278174438,0.7958037779897011,0.7186001316667618,0.7199535302398237,0.6735404344664065,0.7135120123268831,1.231129390393511,0.6239840763478617,0.6494828253849156,0.6103598478659626,0.6631752468905598,0.6398115727987629,0.6474455821285277,0.7030251664175466,0.7739565518267156,0.9296363603232006,0.7927675073281353,0.7152678741833218,0.6658505805198871,0.7145807349704224,0.6462125469166818,0.6405775175772996,0.6187085828859131,0.9647927024372703,0.6413805566046055,0.734933103552177,0.5678637606988178,0.6264334964711428,0.587791051654502,0.6136724038913185,0.8236900347911861,0.5097957579123005,0.5264814937055003,0.8374311904440338,0.47909625114496535,0.3925439257828654,0.3441674675524478,0.41108165660191764,0.4381574352525564,0.5022857580511977,0.5620470157628523,0.6541327963163697,0.8449930396598824,0.7600388384171931,0.7291002597036165,0.6218300830149572,0.5705226731843106,0.44407563656551746,0.3986578295782923,0.4312015798607724,0.46657270537059575,0.41524569617208285,0.3885722889265867,0.45771831041666244,0.4510539727251503,0.5117779614951046,0.4357215714979178,0.5641212024053414,0.4885980740379703,0.5432289109278023,0.7656953246681701,0.4822603033673253,0.4793693822863317,0.5310885184185375,0.8095807694180744,0.883518653853418,0.7396421689804856,0.5761706717610965,0.5803831821438492,0.5794692276770954,0.4782971139382002,0.46572345296600265,0.4088935729735424,0.43450888448326347,0.539909240863449,0.6551865680867535,1.1582067536243048,2.0494859515861608,1.3674735380840823,0.8320343929267245,0.5572446755323072,0.5922034401332449,0.5264309729180636,0.5230832239750542,0.4437244375614351,0.4963673791927212,0.5071710164312669,0.5468546238534765,0.531605571706939,0.6894976865058985,0.6482875035357759,0.8589654399683487,0.8757506867922442,0.879455748819066,0.6234427600480051,0.4862260122073419,0.4657232657553055,0.4643506043113693,0.4525558939871042,0.500423223780064,0.5396525459713645,0.7993736438501842,0.5245356092027336,0.5929641960536871,0.5097224039355536,0.4650660975209832,0.4648186415306731,0.48311854720899255,0.5452472874530547,0.5806477304081007,0.6190785773425138,0.7510879472425732,1.1898299866591322,2.069070647800853,2.5746438997392245,1.0690818896946552,0.8782660999081228,1.1205449627597064,0.6810163191559989,0.5194055179707623,0.605213953797725,0.48859945964341783,0.5285246707540984,0.6008354708316571,0.5305589114301908,0.6875883921412403,0.551897051451112,0.5334436249766927,0.653829641737424,0.6916580590027301,0.6329856415470015,0.6246926092936319,0.9147710599282038,0.7048075657892068,0.7179404937576039,0.8626131787374022,0.9661683530240767,0.818163689884384,0.8978446100840265,0.8499151730847015,1.0202428169304463,0.9616403719974602,0.7792586013402515,0.8111400663201268,0.8747439344962578,1.952521391891354,0.9778961584628619,1.4651838675845554,0.9233620757022448,0.9626324734385951,1.0473612437795783,0.9389910426091325,0.8562601991436515,0.6777476858441176,0.8612159160004051,0.6597509074332184,0.7923677122252216,0.6311046361382305,0.9128271345494148,0.7993924031255902,0.9012862675773184,0.9010681194633017,0.5954765527569088,0.5875271550857505,0.6890487466171556,0.91535259801348,1.20221407999579,1.4429373377860644,1.4966245787673944,1.1880230483236478,1.290360740017214,1.6417015047621164,1.3680973538707435,1.170377439990478,1.574408910130546,1.6982767635157425,1.3007713141815198,1.3948186936150728,1.689799696213108,1.5577112323107352,1.244525589133435,1.3814905342760107,1.1364822298326427,1.153584326194158,1.0753526602808903,0.9815965555787863,0.9844577597682957,0.783790088315186,0.7613456181814889,0.7298220150824041,0.7420345643056532,0.6446377455651544,0.7010010700787392,0.9060794813771607,0.887006643828168,0.8418750863159414,0.9666692857704452,1.3367737967298967,1.2833663474646044,1.3388215026456485,1.60044090424645,1.7438187597435535,1.4762670083134293,1.363027551766757,0.920950735989043,0.830803168782884,1.4809566544987425,1.5634103545033105,1.8117004808598238,1.892933818333048,1.0745626960028893,0.7870816293899495,0.5555136531594245,0.5256005031450319,0.5972491607719884,0.5980986633305733,0.7673880439312571,1.5216496964886541,0.6100586057246195,0.7179597641378676,0.8372143078827028,1.0471114445597842,0.7210469032987856,1.034265526140844,1.675755650411552,1.9369783388285857,2.977625910483729,3.6261768277214728],[1.231450912127007,0.902172779278234,0.8660413322061605,0.7477142969853734,0.7873110723036121,0.7215466373644077,0.5852394914448946,0.6383631642099051,0.5520906330945852,0.527664246460185,0.5740904761339635,0.6495916897661733,0.5528897402806986,0.5524340359097168,0.6763700468151586,0.6256137091071197,0.6299521724786493,0.707493357638318,0.8280813705047463,0.787051477153003,0.8625627798639531,0.8962040572904227,0.982757797428988,1.0120107314638025,0.8852401466956509,0.855624384223755,0.7450590375461595,0.6612035584105829,0.6469161583298823,0.6216637069371848,0.6836066449539578,0.6629884570933268,0.7488429247911352,0.7234095965616929,0.649312728901698,0.6540349597017627,0.6359832241292318,0.6548764444626298,0.6587333424688576,0.6247836743598455,0.7824497655484767,0.8046707837105308,0.8148897775884791,0.772359314230993,1.0293391309478284,1.2549979804195066,1.14919304968438,0.8169413515588266,1.1266189615398605,1.4609360334034547,0.9447143908988979,1.1601865710833554,1.0333401097149457,0.9880697651614324,1.5270203734139238,0.9538377299652073,1.0154646189559149,0.9406499957889409,0.8781093281619091,1.4467949821496693,1.0939041421386235,0.893070452082287,0.8435557990787003,1.2267574901008216,0.9604128707251596,0.810157210404205,1.029741791980447,0.8921057128209477,1.0044095896284655,0.9053696658331342,1.091776754766885,1.3210305262988538,1.09929075203921,1.242733790827704,0.8708225551764038,1.270132252885839,0.8134562232271256,0.7839786852292252,0.7175021368713889,0.7365598722569937,0.7035547023665462,0.7299767417961477,1.2821419211681415,0.6757567540085998,0.6990023505293,0.640777606098343,0.6793699095728793,0.6938866377437451,0.6721343280805343,0.7270273227100492,0.7665878434538813,0.9331936108151072,0.8081912588394142,0.757005007746741,0.7093797513614997,0.7661722454268711,0.6873747923845717,0.7076451431641122,0.7230670005877375,1.0379357515067398,0.7581218308326825,0.8640726356543134,0.6960079384942124,0.7878891057960173,0.7569424826306799,0.7988154010156306,1.0027817365044116,0.7358657504227837,0.76281630673192,0.9746833393227505,0.7243192106783438,0.6039875926544374,0.551520482775088,0.5904627042149027,0.5562574514323756,0.6073268510528556,0.6392066647685121,0.6767421861741768,0.8208681048331684,0.7626288013885294,0.7355306341958066,0.6854996909081258,0.6313806070936919,0.6099789350948683,0.6007543139952232,0.6405084009270648,0.62642567853467,0.645133570060754,0.6611740653046113,0.6645004180677957,0.7256576424527303,0.7948120485183725,0.6663601998625939,0.7109794716411598,0.6573767721059406,0.6485823889146223,0.8055161706018424,0.6875687675164808,0.6728471654262932,0.6112635662484673,0.8152587671427296,0.8433061856692337,0.7284472870433086,0.63469308108554,0.626046474601429,0.6154115429281312,0.5709586020651696,0.5874253737101879,0.5674974227140664,0.5995394915195649,0.7209625298895973,0.7910332018212011,1.2338699208859591,2.050082279626181,1.4137502503792398,0.9367974723925796,0.7097093798706592,0.7469899841497639,0.6416088509717691,0.672842296778907,0.5824899801388966,0.6097150092330069,0.5942073448966575,0.6094268200156164,0.6212935990306411,0.6744320176512514,0.7130633972959873,0.8592726565971601,0.9474632301169027,0.8994990207961349,0.7185630492328549,0.62879136083341,0.6299361406537743,0.5789159151441042,0.5710916233737073,0.6211322749218511,0.6514309432129081,0.8438616869625453,0.6202410779760795,0.6851548666856995,0.6238999101094265,0.6389382416992514,0.6600617146351043,0.6579671274541156,0.6388041548203247,0.650986974858043,0.7005611759439828,0.7590237821965437,1.1626235283222275,1.9666669012469555,2.414686085458513,1.1703964414900414,0.9247100984976826,1.29425640531821,0.9184013984142205,0.718576796614015,0.7599271445345802,0.7924981976730328,0.823954385375264,0.8712932619838463,0.7901942737847697,0.8792055561620683,0.7899116635799363,0.8244252068946815,0.8748031340109775,0.8968842692444411,0.8868709299551429,0.8869018565321207,1.0992588827331038,0.9348247054012486,0.970319338864066,1.0773826432553686,1.1752044994118331,1.0309874502335625,1.1131219416759919,1.092498332081904,1.2352896973683112,1.2266372543502773,1.0544141393773616,1.0537899137354791,1.0668106694132709,2.0087059736527695,1.2046541320113715,1.6429567795144087,1.1100304121626252,1.1012233479497315,1.1408506864117096,1.017165099880705,1.0272097385322327,0.88787817097858,1.0441550791364533,0.9062422925768158,1.0477205036729624,0.9297004372142748,1.086329186427253,1.107336332901886,1.1555583368868163,1.1242210990099706,0.8958256199284683,0.8201132046527213,0.8644137455398798,1.0181841921667711,1.2658740412314409,1.5390154652978498,1.5532835895963175,1.2672828935212217,1.398691481534619,1.7220965361687885,1.4616301995620284,1.299332834937103,1.693241298998654,1.823199438553999,1.4453975690058163,1.538200241727862,1.849082163057052,1.7450790688331264,1.4225618010993444,1.5518688276566366,1.3084291039140965,1.3090543076093122,1.2261123792987256,1.134543664629971,1.1612863288446738,0.9886306104323899,0.9586954899257463,0.9616781343301283,0.9840778705373533,0.9061523731791384,0.9626223296370402,1.150792932280209,1.1540462692511242,1.1224765920850375,1.2636360554607389,1.5771260940805605,1.562983984189922,1.6011373294974443,1.8915406088360895,2.012714630574696,1.6964875589651807,1.6412218376917436,1.1873746848191797,1.0931734289988835,1.75770523589294,1.8666595748825177,2.119988747370764,2.1875839419713854,1.3464559636039368,1.0840620262323855,0.847703376466035,0.7286650539519939,0.8042604155438641,0.8118530304937203,0.9358847859670113,1.5201694489409132,0.8146562211956954,0.8989095731770078,0.9749957404081434,1.1626131647255111,0.8724935213823999,1.0845685224390713,1.5881986838857751,1.8343510202146531,2.8916864124076938,3.4608486312175875],[1.2551574886810613,1.0474083498207556,1.0475667408641638,1.0828232379760094,1.2026396664279138,1.1843677029678734,1.2211149973806135,1.2635423206113132,1.28270655496029,1.3216172893342804,1.3392403516363887,1.3300939898111221,1.3344514560691736,1.3403552905759044,1.3505930353669875,1.339366465128535,1.3788299991188873,1.438840455284091,1.4807514257410412,1.4660405116324235,1.5036096298628994,1.483577908611885,1.5462071171269236,1.5271413868164863,1.469538494723319,1.4485053422661904,1.4022043153144423,1.3837749633053056,1.3837830706571368,1.3679252807661229,1.3843912874230675,1.3319119849451713,1.4102263858717676,1.3787978770603035,1.3494250927684095,1.3919128108788235,1.3491469507065175,1.3776019429030986,1.3974619679076759,1.3644691371291082,1.4255817901973489,1.418286510685946,1.3996030180984684,1.4245385637198567,1.5862973919829868,1.7416302762115525,1.7048632602625915,1.4400151173639335,1.558752020180735,1.709590207317926,1.4918444547788035,1.6450203991431216,1.5753107843823824,1.472295655215466,1.728232542284378,1.6267905394905489,1.6217911441484296,1.5445923906734578,1.5945328608381684,2.101587750518539,1.7819329350839492,1.5714344009457324,1.5039771150334975,1.7803114061504486,1.6176971683977157,1.4837823113114645,1.6480938014751119,1.5528233793234463,1.6367471387494557,1.5676331888976,1.649958344032026,1.797869919791736,1.671408710383406,1.7630355731107012,1.5237740183223718,1.787791440114832,1.507762696160887,1.471432837484349,1.436380928969318,1.441968011074332,1.411752899655673,1.4189940196391058,1.8821971127672208,1.353855828851401,1.3684465946920557,1.3353545161034663,1.3798994883725986,1.444462152911863,1.4031710223324458,1.4453394281505787,1.470097492204161,1.532142659818316,1.4185644665723816,1.363252073451629,1.3561949699904012,1.37704985344221,1.3620513976807427,1.3512533694788802,1.3453098899873426,1.4209325667293988,1.351539542641464,1.3943626084701712,1.3348775253761378,1.3085536590009537,1.305965812854939,1.3091001608032282,1.4106457378066495,1.241657961546433,1.215411946706162,1.4230210468928055,1.2283088654220966,1.2485374646992098,1.2488699326201487,1.297682095644693,1.3124032236077603,1.3175229644529214,1.3638368169342086,1.3720201864785178,1.446299308475479,1.4708606154332915,1.4255081792860471,1.3890785395546754,1.3541241851376224,1.3099344818102512,1.2806163361714789,1.2631982790858964,1.1715223013668798,1.2310448459876049,1.2031088290924172,1.2434770735359841,1.226475471154333,1.2502016719031523,1.2403060966518935,1.2425042024803457,1.2589082528147206,1.2649950929548563,1.2887072457269309,1.2717025997077214,1.2606139995225307,1.2909889303901063,1.4017245298780219,1.4554351197973803,1.3903602303713822,1.3315436722497613,1.3613966089093654,1.3641883912852377,1.3309692984043178,1.344342565717834,1.3063904047756718,1.3063123016428033,1.3152659644923879,1.3392936133483881,1.4912663085662818,2.096118743593531,1.7400788451927613,1.3696384348673682,1.326056097635492,1.3079568510374735,1.3321818527814557,1.2905016310063355,1.2867332444403903,1.3388129475462514,1.3056332836962412,1.3446548413010813,1.310627182217972,1.3092560715714792,1.3082895077470444,1.3943288471255744,1.3835232665025528,1.3720253257928494,1.2834636112792857,1.2812877709718333,1.3089672810622608,1.3019535975766365,1.2898509617379414,1.3197777634550454,1.373949176409856,1.4557856899251347,1.3194028727387965,1.3492621842268397,1.3173804189770313,1.273021387694291,1.2683037723233368,1.3194872145814411,1.314555833162961,1.3418532662765614,1.3960993105177262,1.4665619124934968,1.6008404370519516,2.336005265213569,2.608654864385598,1.6019731175588583,1.4376958645456857,1.7154942875716304,1.391423167180736,1.2204111842552718,1.2209771320559641,1.2406753847650984,1.2083471915660289,1.2616022704397527,1.1041520066212276,1.1320598149251635,1.1366814122799134,1.0922829906900982,1.0749446122154651,1.112312209465673,1.1058206687305696,1.0477162413907957,1.170579252083476,1.0780065326852073,1.0484102044234191,1.1209669487110014,1.26138983413057,1.0891018800625123,1.1386273457376919,1.126624515531821,1.2421329437916393,1.2094887137083665,1.0862347613981578,1.0711817529495118,1.0345276125708538,1.9190026365103752,1.2321602524199688,1.5876700147243088,1.1434312087106977,1.149145263838849,1.1971446217910633,1.1108802282056656,1.1653075964801287,1.0626238258344012,1.1792293205508222,1.1290932091262174,1.2592673878846972,1.180184608338137,1.3601029679363859,1.402917433740053,1.4091434079036582,1.5648059163734935,1.2261397279834834,1.1416037835970667,1.1522017120355021,1.16706777383335,1.3386579864048562,1.512519104705912,1.534684680233935,1.317017305636841,1.3697259263384374,1.636495256464185,1.4547507016090067,1.3368796592297643,1.6480946318149345,1.784323838038932,1.4866426633251124,1.5084016495185548,1.7755350474050755,1.7322501246746944,1.4243711815983855,1.5075905198032087,1.297602154050866,1.28308152660205,1.233657975344823,1.153375051297243,1.1668107072025469,1.0766239134710702,1.069882415385776,1.0519931573843164,1.070344667644918,1.092645560096449,1.1222358752289296,1.2638467931636144,1.2928632745779933,1.3415637734395083,1.3842770999116738,1.642083816265534,1.6395877180435985,1.6529049232730026,1.8965162785361538,1.9638544168838286,1.653611377752815,1.5655831903574273,1.249564018174396,1.1368694380534492,1.6495045940880912,1.815083668471454,2.0885951966412746,2.2432119513891497,1.5193962523344111,1.3229240645930667,1.2153950776912221,1.1554364815098648,1.1396973352894952,1.178747946719009,1.2372718430663898,1.988819401913867,1.2054195620811103,1.151243673145675,1.2837428163475537,1.3785355482146264,1.174518186922878,1.2579222762266515,1.8099220705228918,2.02719848262573,2.9585703045183704,3.525087954574456],[1.3313254468462132,0.9463138079216519,0.6877067593715203,0.4380032126852268,0.4452104443896625,0.5039705321499387,0.36060563188186195,0.478960905790446,0.43043936357092305,0.41823564009434633,0.5039570285852872,0.5627023727225604,0.4806270218308256,0.5101806566513971,0.6168631128283857,0.5634526758651272,0.581496442320352,0.6983891934033356,0.8197270708075968,0.7697983661248116,0.8475243324157866,0.8800410507365659,0.9899829190327004,1.0449234489061638,0.8707653917789676,0.8363341806231455,0.7286381920146544,0.6088134089387274,0.595916968553503,0.519985729015177,0.6614131212820756,0.5948236728184919,0.6814026306647746,0.6805805231580379,0.5875489714982723,0.6127724904646223,0.545330768882444,0.5877823518353593,0.598429243612632,0.5659027295982075,0.7448086590875905,0.7885624088356187,0.793853632411905,0.7366359352138362,1.0491085298447826,1.278967064034624,1.2157116010509728,0.8178813766578987,1.1104550232324835,1.4455927774804307,0.849176643858032,1.142819359230159,1.0482671411664475,0.879899862330772,1.4230171415197035,0.9283699099102024,0.945213629628526,0.9667550937721262,0.8987008259283364,1.4984976724389003,1.0816470969333043,0.8740350315431207,0.8325402253243182,1.1581873185688463,0.9502744674985354,0.7780919435683286,1.0798991577106367,0.9028332803628435,1.0594846169977674,0.9472984229947968,1.0720980943654783,1.321778791729279,1.1310000739540313,1.2781259280776496,0.8975307144576408,1.3308208017728866,0.8268258443807999,0.7666575647711638,0.6908388984353199,0.7002181611283198,0.6369118381096859,0.6792441203747658,1.1801411535594228,0.5157467006960905,0.5883671873705284,0.5274693493399167,0.6165181982401932,0.6604611264682391,0.639036633779121,0.684280252400103,0.7446799648542909,0.9422276038266779,0.7923867517207415,0.7378316794356609,0.6889930062441576,0.7671090450346358,0.7049981666418007,0.6749909822805168,0.6711974334894591,0.9379885262342704,0.6573455749053391,0.7804280779391897,0.5704611100940347,0.6053510752172663,0.5611863398150938,0.596491363366466,0.8457011277393145,0.5643870561781558,0.6039519556122414,0.8852092745841323,0.5419982044686755,0.3930062622948827,0.36444368876376315,0.4048718450000346,0.44973736824735006,0.48382518560043813,0.5713475892972881,0.6383618850279748,0.8558740168238074,0.735704016582457,0.7373328465144676,0.6250673944539242,0.5468946098912545,0.43626360482167004,0.38223395113452185,0.41131731087748075,0.4366418288059045,0.3883550332026988,0.41909971579023086,0.46979990936595234,0.46089509031695675,0.5312467879051752,0.42992263309818163,0.49938955432797044,0.45674278397287865,0.5416120656885873,0.7563768872464058,0.48226547577960066,0.47242984311117703,0.47918540297919,0.78143041598641,0.8373849014592268,0.7058120304031984,0.5488570169901799,0.5549353737782923,0.5522721332072428,0.4715311134759397,0.46483572792724803,0.40137511066307935,0.486098655102753,0.5840249136441843,0.6846527890551721,1.1086855620846,1.9611127145423215,1.3722566734762045,0.833954064759405,0.5836314314007638,0.6167810848466135,0.5237815845211641,0.5094300475279099,0.40527599215279647,0.4904713027287041,0.4631199364750173,0.5115830718239737,0.49787499651145883,0.6473869622484892,0.6208012187969432,0.8919822013614486,0.9099518725851667,0.8657640385006505,0.598782535877515,0.45743716441956345,0.4300521936652985,0.41301577176030807,0.4069747439182378,0.4624959021969039,0.5046283472391404,0.6895290426830221,0.46664069241619166,0.48177760031706196,0.4745726236859572,0.4280409481381994,0.4301722533912659,0.4668057942430405,0.487189047764235,0.5088907201743459,0.5780133001927162,0.6719302583662924,1.2636647244552743,2.1513179389939885,2.546209018316322,1.0210274746358905,0.9340578215115216,1.1940110530011903,0.7083472968483243,0.5772557371552282,0.6175928408968452,0.5496091102188516,0.574085544875903,0.6484608225207378,0.6380952608614486,0.8091269317562763,0.6649843825740797,0.6353960064727514,0.8227093707440881,0.9028157826253611,0.7101775665406663,0.8048128169857169,1.1905427067647605,1.0024219884842815,0.9477596267373518,1.2080422113232454,1.399013306670372,1.0886637552106895,1.210335731626617,1.0443129645799767,1.3163809013004928,1.0716554249484587,0.9071459411529216,1.04698743411416,1.0954608652714446,1.7917023873519962,1.1875602787970707,1.6252846157587446,1.069140901987345,1.0261550232523315,1.0731150744488551,0.941278940152617,0.9470178069769096,0.7761423763132063,0.9065666416098704,0.7936088036981734,0.9493288134262318,0.7536041418066376,0.8985666545104043,0.9898260498955858,0.9477945494934699,0.9617664778204502,0.6629660563002535,0.6296023885825625,0.7075717718676973,0.9449660843788308,1.2106670494890155,1.4872172456060766,1.4896875240485137,1.227479349881791,1.382900315565709,1.6714647738204627,1.461792328258385,1.3384671598016673,1.7630846080698481,1.9262087814510864,1.5773893328656348,1.6622540440145197,2.0028668760809603,1.9645964797417985,1.6049146498710825,1.6982570791213387,1.4063181628848613,1.3828385536688297,1.2634164617875183,1.1420008668782458,1.1990231069706372,0.9939421541206217,0.9022255476915675,0.9047854667625305,0.902518216860613,0.7639754814774715,0.8455708171316694,1.053624734044507,0.9533346108273174,0.9386943655230114,1.0959168093119176,1.4267204393579718,1.3446795505085907,1.3366785056420682,1.6305926251184213,1.6890745004907517,1.5135859577447306,1.2709408503671706,0.9048472100535789,0.7725792239056984,1.269278638446454,1.4422015799635406,1.745764774843584,1.8526722286008972,1.0539199350368753,0.7327610238634291,0.5835438815199457,0.556820139830269,0.7575631333340758,0.728681855165147,0.9507442072878316,1.590071649451637,0.7438499438675928,0.962090173891462,1.0510352017556077,1.2024371045682503,0.9008885383104,1.1020581642734786,1.4183691404236252,1.7328504684201733,2.6476576508411815,3.1612459590124136],[1.3205635911104068,0.9065800618200233,0.7307657872675386,0.4348333524172717,0.48753650157709016,0.6436083089617343,0.5135991580060979,0.6400938620975789,0.5459015937687934,0.47859756696761263,0.5087034722616827,0.645101150444068,0.5124827755708796,0.45537986181979506,0.5844642740993686,0.539384984354314,0.5051962776680874,0.5595691129037433,0.6456679303717829,0.619079831743807,0.6624175448944372,0.765906208501714,0.8280239797798792,0.8470491877166735,0.7343902743878639,0.6898463700512615,0.6046922727838714,0.5091487107792789,0.5164918626712761,0.523872256156926,0.577225817348029,0.6083667581761465,0.6654432627673535,0.6237203513977888,0.5588166500540126,0.531019217130974,0.5585132824826037,0.5239804089403506,0.5096643032083628,0.48927106713939356,0.6753717010072899,0.6832868457757509,0.6820715669926453,0.6187559267825176,0.9401999652788573,1.1914068160293991,1.1209683579778875,0.7004064287083668,1.084874253080024,1.514552712054806,0.857421359207385,1.1143802064358606,0.9179615637824671,0.9119569774468982,1.5620344237159294,0.8494106304102012,0.8792327997561862,0.8771607099357763,0.7742709891021825,1.3103082241477007,0.8361062748422191,0.6695604406906859,0.6458285496398832,0.9347692716527637,0.7301544938379114,0.5972920439964616,0.8441126642252131,0.6941372257987388,0.817164277426244,0.7483824966348007,0.9035675906520978,1.1542351756278997,0.9476461305921264,1.073115038391907,0.6931938915932626,1.1684239707840862,0.6222516979962878,0.5880541684535151,0.5699975698231021,0.5797409613298833,0.6110459702334018,0.7024284617264018,1.1712715540473435,0.5582571193523638,0.6049082879842116,0.563449603761903,0.5733371930877396,0.6387851369312227,0.5307331559406974,0.6053872225916268,0.5895141686292555,0.7830382585371435,0.6493741915140425,0.6422317717203535,0.6227554904395893,0.6705622267581781,0.63461534081914,0.6680377526305362,0.7073697322595426,1.02742297647699,0.7430905354539529,0.9150574871577936,0.6756788697730742,0.7920992558912962,0.7415784113955036,0.7718976845617059,1.0224606774255278,0.7182711552092292,0.751934878037666,1.0292713699060063,0.7113717193725193,0.5522880606015248,0.5061334613447336,0.4726574748033013,0.44845888656847593,0.4433714476752958,0.5053798588085657,0.46991904196671386,0.6554901726092522,0.5692857991328018,0.549014212461932,0.4955502501233512,0.44270398481565076,0.39404275603228855,0.42393961868171254,0.46752058385262396,0.5849161590243872,0.5179883782338112,0.5648936276540223,0.6184879510054766,0.5513261923843035,0.6617093577667913,0.5276759729022126,0.6254051475757938,0.5277969902745324,0.5896840789631049,0.8116719870928784,0.4712916145296334,0.4229648827648933,0.406939775969856,0.6214836624704492,0.6537416071407477,0.5527636443378658,0.44045806705140145,0.4678992903123959,0.5032868789844659,0.4507057938524701,0.4994586718643665,0.5262063553913491,0.6111773291905944,0.7401740451653789,0.8186470000577108,1.220733985565489,2.003616881579099,1.4094284720073706,0.9482084551522368,0.71634568598572,0.7733728831970802,0.6426324738326687,0.6783821555729375,0.5185502559007686,0.5093223022454723,0.4547934276150783,0.5023591404285549,0.48627480064739576,0.6065422305727496,0.5896008204690331,0.812756453159481,0.868521153974916,0.8156534118732829,0.5879017076810524,0.42932567306624075,0.4555119453728197,0.5017452531423965,0.5125088930183518,0.6056457753613105,0.6076068837445078,0.7985269555035975,0.5627107741617985,0.5960074225080548,0.5659345623173512,0.5867077718692635,0.5627815154390644,0.5727254644709392,0.5516562005751392,0.5345768778067677,0.5562889243529213,0.5718194592139512,1.329294211346783,2.0982381097547886,2.567350406070444,0.9519935898699011,0.9310573446758645,1.1468479565193113,0.7099343116188059,0.6253120854718781,0.6845017193318093,0.5680760764112645,0.5826409282172516,0.7151024748930277,0.7052984641838919,0.9086192894159124,0.756209218108084,0.6683418196179383,0.8641863073606899,0.9591281246484893,0.709139063755263,0.772066569608815,1.1999258270495428,0.9816878944497988,0.8782772548184413,1.1366591977227112,1.35845623554568,1.0026656531597955,1.0710531461559654,0.913292387227335,1.1904957026695342,0.9538586700981985,0.8139005536951422,0.934058535531935,1.0407821337408227,1.7700067597429103,1.0975722333573643,1.5612671230677004,1.04616903758479,1.063833458184724,1.1589268612582984,1.0281142376648895,0.972088909445619,0.8199156401388954,0.9984173182015474,0.7883914317750069,0.8968467135159607,0.7629531375265788,0.9167882110502806,0.9069607495916013,0.8959156249694596,0.9179109807923373,0.6571333377005009,0.7332428862280087,0.8050226536403875,1.0419738843315403,1.3201763892022123,1.593279913114541,1.6164113147775694,1.3449597960626392,1.469279983365392,1.779356717867469,1.573402621006154,1.4138533256234684,1.8305780203248103,1.9966003729136015,1.6302134503567351,1.6895669991667512,2.034949196216641,1.9872669590362249,1.5791686602355204,1.6751939549368604,1.3854213556051105,1.3856994388837853,1.2999035008634436,1.1638679048302971,1.1753489059375257,0.9701809924089202,0.8990441331796415,0.8647643626449723,0.8507699947362729,0.7358224695750835,0.7951367807810751,0.9578533027964732,0.872132372157613,0.8767889063765787,0.992287687174818,1.3300151735376795,1.2487104786154373,1.268878110473956,1.5448291434999575,1.6593718211133468,1.4397639137967824,1.2553194578031752,0.8541456543920471,0.7386858594578578,1.3275358007092897,1.4676886493190924,1.7450863288073584,1.8183951408653776,1.0078874651854308,0.748182206041245,0.6217423033339585,0.6507867192483494,0.8118821454409875,0.8508311722910146,1.0434360358296975,1.6036277288272813,0.8566477987060164,1.0211499736963927,1.1102965944869103,1.3307640322760952,0.945705041771682,1.0948969465762486,1.3758641442495998,1.6611980189575601,2.535345065592667,3.0583756386746868],[1.1766079847099775,0.7366171437483816,0.5926480417765126,0.4270780216068381,0.4710517843919735,0.4849916786723128,0.36044414696800414,0.4930165772136944,0.4235965628888256,0.38306152908337465,0.4170861462788918,0.5065777459356261,0.419146090093698,0.40225324414289465,0.5329212014539048,0.4783428915136675,0.4910141888967735,0.5575846534483676,0.6771455066238347,0.6375361286654783,0.6962027091904518,0.7858018720470846,0.85872869365232,0.8897916337707465,0.7545251327546055,0.7214637781937996,0.6094218783119815,0.5124607319525261,0.4951403239735999,0.46340470199186096,0.5422404561731693,0.5264320777755132,0.614605827925961,0.5770854598073378,0.5023426633167263,0.4979226610267244,0.4856991917209447,0.5058624538270327,0.4894160144109236,0.4712597206904761,0.6539729728989055,0.6879457401212875,0.6955183414080349,0.6312772188439336,0.9161000816162538,1.1524504102636852,1.0538750379496113,0.7188741467081716,1.096482418616715,1.451192149528656,0.8191913820807059,1.0925627512406682,0.9087265426432237,0.8707811241160248,1.4587915378976668,0.8149191457353706,0.867160345535378,0.8679739151284545,0.7813006571428919,1.3447194933872062,0.9099818643537178,0.7170979314606959,0.6887746750343526,1.0098116538622073,0.7741713534449969,0.6324463247462945,0.893874305785251,0.7356158869169601,0.8734652050452766,0.7739133843154675,0.9550313381305416,1.1828890804409427,0.9675708421274108,1.106860757820796,0.7173978634474594,1.1597503261833064,0.6497865581107735,0.5975230388507203,0.5621330328420117,0.5675740198636561,0.5633416459737748,0.6397175596177254,1.1723191619143682,0.5170054274482213,0.546509588034824,0.4993695540786873,0.5456136625852284,0.5719761857801495,0.5157426045010018,0.5635721362700131,0.5948728905376774,0.7810404263430525,0.6416444965332414,0.6032948935191402,0.5719767888744293,0.6332928473232047,0.590198616759129,0.5817655981604412,0.5954047932493048,0.9113515285384568,0.6087166553045774,0.7586492434342904,0.5535678888875036,0.6182097992463423,0.5735224418114346,0.6195507926048612,0.8539062847862791,0.5439009091630568,0.568257968988724,0.8689937449084574,0.5306102073658853,0.4199476442796096,0.3685061968337271,0.39338641769134436,0.3926164249929641,0.42659091523342296,0.5016289833266436,0.5251766935583757,0.7191836879907936,0.6081726224746872,0.5975762891213191,0.5189684873492715,0.4669915182083234,0.37334683334459273,0.3665430222909146,0.39553501019864207,0.4315049583693424,0.38419401766052014,0.4121467952830808,0.4760818942936461,0.48513442326804607,0.5622017650285797,0.44300690585687785,0.5251070593800381,0.46081460125838375,0.5101210507860412,0.7157472516957306,0.44345314221988114,0.4336206766349274,0.4353486758290985,0.6899238785433522,0.715302538432207,0.6043807898062878,0.46928168168943185,0.4745864773299193,0.4800905769808283,0.41312108989550383,0.43275720438421106,0.41430852469110957,0.4784320936630513,0.5893481031123513,0.6857055207427729,1.1203112775531971,2.00993719168714,1.3708380512146103,0.8276641604748499,0.5677759400619362,0.6163872745742924,0.5226393707750974,0.5429515452913094,0.4207605363958594,0.45510126730175654,0.4380399121430021,0.46452637770798183,0.47630670950339987,0.6203428815139568,0.5724874568879,0.788020082941254,0.8389956595954045,0.8112790462088295,0.5543478982231884,0.43333045728017955,0.4274540341083895,0.42493906522933245,0.41108377161249393,0.4830924927295583,0.5090456322579593,0.72134361334268,0.4728239599084676,0.5041137960532995,0.4885727660591123,0.4733964845003543,0.4735648084824752,0.4610937666150536,0.47934961174777946,0.5053632118834512,0.5517328393637929,0.6295994350972448,1.2350293557084158,2.06861991192128,2.519409131413708,0.9724219202058898,0.8755141017235224,1.1113287764566773,0.6737447997624888,0.5569734631504478,0.6157932850886391,0.5222544944909817,0.5485713792742841,0.6469441674952336,0.5355690805415819,0.6930358102390421,0.5770503502406048,0.5362504343837552,0.6479249918558885,0.7182761559168981,0.6157390164806602,0.5984856801560964,0.9363747278699004,0.7360750576795988,0.6936444281247724,0.8750437569018729,1.0485567364318107,0.8106451502713808,0.8739680841783245,0.7925806408666539,0.9936865897503043,0.906024584363548,0.7235834826143677,0.7581509594078889,0.8327867316781662,1.8121057467843087,0.9520424877103555,1.4203516355601093,0.8593991397616436,0.8785708132152074,0.9834755361725208,0.8560849083309726,0.8015535796750066,0.6369384947034507,0.8240504272096755,0.6419168156644811,0.7950601716211181,0.6303786702409537,0.8666102447240454,0.8538293789033949,0.9139033754933183,0.9108429607376396,0.6047224941750377,0.602684366169077,0.663090841336963,0.8740188538123961,1.136897395189552,1.3926521766501727,1.4165887348456143,1.1429387445876675,1.2360145054595968,1.5601029372432864,1.337633365668581,1.1636495733702652,1.566738764024899,1.72143093374631,1.3541946563081877,1.4050078655697322,1.7213097740163426,1.6539909228017762,1.2802912170265224,1.3880647502041106,1.1254681809414995,1.1213676713965266,1.0473475502563958,0.9237443607854394,0.9357602070300061,0.7545796679818182,0.7157352203002838,0.6850494855669039,0.7059090035548821,0.6236375798332799,0.6840364007723763,0.8871153503229235,0.8641200507607429,0.855548340037507,0.9623868040693404,1.3212346200036607,1.2721704789155857,1.3188940689397723,1.5823577163792968,1.713558615993888,1.429946496991886,1.30748954803624,0.8718388726625497,0.7581964298315534,1.4152473567822728,1.536942795747745,1.8049078181880178,1.9001212988596445,1.075033817451483,0.7962750832129208,0.5822536016723778,0.5281518801861436,0.6346922506202287,0.6371710744811503,0.8000427098784408,1.4998750789891553,0.6424425661866838,0.7738626742734708,0.8566439174664426,1.1000611235599773,0.7478734987618263,0.957611874987665,1.5355061123568234,1.8697253184154385,2.7635355557141428,3.313319650849695],[1.1892107517534207,0.7302814298936876,0.6894203828322005,0.43495788261743595,0.48679635027920903,0.44656650885238597,0.30662772827802887,0.447578310252164,0.3717077837101923,0.3436429803527302,0.4040458212371382,0.5070374059225355,0.39945493163181384,0.4016348378384066,0.580124938441742,0.5026051868052657,0.5068280886494004,0.6108739491716475,0.7264641934782942,0.6801468425686794,0.7498840681436537,0.824650163995411,0.8833766944380038,0.8831240403728803,0.7746133676500154,0.7538482704793011,0.6180239540397771,0.5296570213605128,0.5250290920355674,0.4844708061510057,0.5933418785773895,0.5470476709538035,0.6413759327208717,0.6222737931775172,0.5424489342801709,0.536888909337422,0.5122771777286271,0.5263635118606259,0.5185158783572108,0.4909850166850617,0.6459384289023359,0.7136426658336741,0.7341183540299863,0.6483102905630843,0.8873809363420837,1.0908313170299353,0.9726022498922876,0.7229253845864104,1.0703436843179814,1.4162992715237859,0.7880902475282437,1.0629643556485664,0.9531762411068043,0.911425234166267,1.5387818123412957,0.8213556992996189,0.9238190021798113,0.8489654986053976,0.789400999644419,1.2946940022632631,0.9120160451756455,0.7704720217246473,0.7422780846819856,1.089383170646573,0.8249416554975231,0.6890636431998862,0.9590743463027611,0.8019269950502559,0.9314775753071621,0.8337743690938604,1.0525717115163884,1.32153917968124,1.0564060642888229,1.1725050927199767,0.7930478877870458,1.2228404768660202,0.7245899357538927,0.6834532784194635,0.6255122698271631,0.6307169834030142,0.6035663356080969,0.6436067070957756,1.1899772697395758,0.5651509488550953,0.5478652722866294,0.5345631722487438,0.5774719811696255,0.6174837282541626,0.557037567838821,0.6355603668640523,0.6703201472035006,0.8596015885914491,0.7113937886262213,0.6613951753036859,0.6213617698112867,0.6848284751740619,0.6125752443451646,0.619521229141488,0.6128726934561941,0.9420159863172805,0.6458029264387896,0.7591262385867631,0.5708253653766824,0.6502380594586246,0.6057456302181238,0.6382772337758713,0.8796521453590586,0.5477059607587671,0.567979381978591,0.8427725928849191,0.5048774440315518,0.3732003100526325,0.3239348748361633,0.3679265138684807,0.3786599118300747,0.424501032650393,0.5053014108197841,0.5221033123800143,0.7085865501670987,0.6443228208929618,0.6265015964890776,0.5420853359050607,0.47097846130771653,0.37128680497366207,0.33678806196825634,0.3841052687806792,0.4406562437179696,0.3822776694883544,0.3906054696430828,0.4605747606101153,0.4245472794869457,0.5185526055687221,0.4111736942398726,0.5680278445262227,0.45587568632116887,0.518784585898434,0.7430976523757783,0.423449979835622,0.42252158514597027,0.41459842925567686,0.6669572916493505,0.6979292956390215,0.6009310015567255,0.45550024030722297,0.46538579057281504,0.4850173031531491,0.40058088444473994,0.42761730032986045,0.39167365323943326,0.4437719467252815,0.5564629668186312,0.6465576050047901,1.1708901531096234,1.998448680130357,1.3243311426091708,0.8349870161281822,0.5638393632615112,0.6112685533317685,0.5224195184284703,0.5413485841971167,0.4026583242491259,0.46060807719069047,0.41560492123372955,0.45092050591777305,0.44381812845267093,0.5894400234950928,0.5506580077065236,0.7433171980321561,0.807943630042725,0.8042181710697363,0.5476727249719923,0.4031327117673033,0.4082059767138944,0.4195128396937901,0.41501504351478796,0.4831550585826131,0.4948488046394991,0.7528195751473931,0.4819536730349368,0.5376113480938277,0.48245901251283757,0.48580302105131673,0.47895680373423005,0.4399803026983757,0.4529608576042303,0.48556123502380033,0.5362470149840228,0.6106738612138103,1.2916845649816686,2.027656532306933,2.5440205804484926,1.0218855132497722,0.8487860637010617,1.0546905824704822,0.634936833366986,0.5000917356167808,0.6064660038089408,0.4701834887661422,0.5124764077351047,0.5848390669796864,0.5340505031325995,0.6920301011072312,0.5440235850354187,0.533516985678683,0.6465504074664995,0.6800859502483483,0.6540136344470826,0.6123462131762158,0.8924334808635525,0.6727559319501812,0.6979578442085737,0.8084040991368532,0.9110242966236153,0.7922882590701346,0.861699050216338,0.8495588871752962,0.9886142771437808,0.965474447783125,0.7671878145915897,0.780527790989355,0.8525240796325224,1.9637343404759173,0.9697195274798366,1.4720983612624348,0.912703359575609,0.954215442256515,1.0560597826018185,0.9436701538738556,0.8494828636937428,0.6716602734686681,0.8669735364989776,0.647856196481022,0.7671627449220949,0.6271949599072991,0.935223830685063,0.7586648780526553,0.8788674329998258,0.8587722810183345,0.5863095586236311,0.6080206726597944,0.6999662670906672,0.911323808336055,1.2140267292270395,1.4616106992367661,1.5097749794422677,1.2069856755574766,1.2968467511577848,1.648684681778895,1.3855085498225135,1.1796742944599485,1.581497539732197,1.7103554155884337,1.3023988977161818,1.3791848841357561,1.6759325817389534,1.5428588813501833,1.2013004923844892,1.33716852137169,1.0930576412348791,1.121492924050554,1.0616528760889026,0.9644261753396721,0.9516306016331334,0.7582158770441897,0.7468645674889464,0.7010268582807734,0.7125335246200463,0.6350384717475525,0.678043991861085,0.8776673950282342,0.8760708146576938,0.8214671189923868,0.9537400516109316,1.3148023897292453,1.2820148994870382,1.3575011296731512,1.61029934268177,1.7735468178958926,1.4950927482021046,1.4321592002265775,0.9516653238695368,0.8791960813726906,1.5988138115438744,1.6351380802859323,1.8575212209911198,1.8997345282859446,1.0699758326624214,0.8034778542679469,0.5441688754651649,0.49456535222904735,0.5734655846445808,0.6152714410572309,0.785368824307055,1.5309693547262093,0.6191567550633901,0.7191408883348844,0.8450156296531731,1.0753401450532944,0.7034847163133321,1.0335279368613541,1.6556091359224876,1.9060802023979093,2.9535596798893384,3.5706050209249307],[1.276471995251863,0.8374054550180676,0.6985694806640853,0.5684723718196423,0.5792933592599789,0.5342111303428927,0.42773393757861516,0.511804411227389,0.45768104373978413,0.43676046655683165,0.45706145213347005,0.5063118006714981,0.4547365655598122,0.47494044436630295,0.599590418994134,0.5453569579808323,0.5917403298270376,0.695625138127253,0.8327004864757838,0.7852085704853705,0.8701812975820715,0.9150299642874687,1.0140934929947667,1.0616624955493585,0.8778247828545633,0.8653613468537423,0.7310183418176289,0.6343982931589354,0.6100415671979749,0.5483388039826168,0.6424743267334361,0.5840005881184718,0.6842466947572402,0.6688842096190382,0.5862219936914925,0.6222614106771801,0.5586690242843994,0.6375797322406256,0.6486912783625474,0.6201562492200463,0.7693437794385215,0.7993010073427517,0.805065735208391,0.7596941124320373,1.016569774707444,1.2059673178917065,1.1215441473410197,0.8340009191579987,1.133825184783491,1.4165257323787008,0.8635661314601034,1.1443779883971597,1.0737903382689848,0.9630262917355995,1.4774966737876656,0.9139725943214562,0.9744972240291604,0.9635946410690146,0.9286150918419551,1.4648832289113816,1.094922798696193,0.8919531622345425,0.8450484365624388,1.242091102920973,0.9868029653389424,0.7973141354524135,1.056320458813855,0.8887979517930058,1.0265872247593841,0.8984005717750965,1.0949754437412147,1.3528198455380591,1.0935407798684695,1.2930231299317954,0.8752980895816271,1.3465936482564278,0.8366294262389258,0.771975645805122,0.706974451205299,0.7443932471238165,0.6518514138112061,0.6862361364942711,1.2418308894202765,0.6326348431015002,0.6718073617464215,0.5988973232250749,0.6481143274792589,0.645675909502048,0.6589969754348545,0.7032101361242421,0.7546530403138507,0.9138334779672366,0.7761426782719362,0.707384107415712,0.6622884299135082,0.7235285406989151,0.651312629035093,0.6309555225075189,0.6160256885402116,0.9466155039351658,0.6325484908199134,0.7140154920516618,0.5679970382905823,0.6262150707099237,0.5978800651622475,0.6322302658125903,0.812009634458483,0.580014490106493,0.5996929667672846,0.897833700700449,0.5395734975547424,0.45965512360599875,0.4309173821015891,0.48838346458417675,0.4833340198366476,0.5385784810086496,0.5953833921165996,0.6490966665344009,0.8211974769428801,0.7499555649060919,0.7269047831552684,0.6445406366812583,0.5865319218195422,0.4896536935036547,0.4701962490090685,0.5127204187451685,0.5331484976736968,0.4847338069037549,0.4715924212429879,0.5262787620342194,0.5380188382389903,0.5859343547018429,0.5071797760022275,0.6062062333189658,0.5540845023649954,0.6031361702033338,0.7886822216630155,0.5589877842464683,0.5681545261559154,0.5683961154221353,0.7873069191054821,0.8623071792036886,0.7402285306436199,0.5988735519630339,0.6028500037120915,0.6008205265708969,0.518452150300821,0.5147084047385302,0.4683474301631167,0.4988533290013518,0.5736813312298858,0.673392216369114,1.1251218579126325,2.0510166830012526,1.3986314158592057,0.8180488199311502,0.5597246813293072,0.60019168502739,0.534312471318339,0.5609389986561605,0.5103298038233162,0.5411938522128745,0.536451536063213,0.5732270514863236,0.5696715253957654,0.6880203817301224,0.6778697895848979,0.8653985971594291,0.8863439564256433,0.8870245824194954,0.6565632244015688,0.5475662299702513,0.5216521372208689,0.5066719001644007,0.4951039396360746,0.5213499900960711,0.5613611912639256,0.8024775000370747,0.5491900457466452,0.6127639773992958,0.5619155522794991,0.5094038529919761,0.5180324643268264,0.5196661276589486,0.5632754482972082,0.6105786924333616,0.6502012410250171,0.7544963954935399,1.2155540595710743,2.0681762191523543,2.553245023516783,1.1152264379945809,0.9126284462045777,1.1718205282523344,0.7348371614074313,0.5998745950229231,0.6697469571470883,0.5744404934940314,0.6094676189807877,0.6720329840851933,0.5990829346109595,0.7314005427654326,0.6195344626068044,0.6200841571323613,0.7038806457115345,0.7463667630237756,0.7429444800705494,0.6894625561344034,0.9453576943910469,0.7716544247914878,0.7797602878019017,0.8940958185827937,0.9956425263603842,0.8965318750645095,0.9458634498200331,0.8947274017596275,1.0539124416768546,0.9792335338828532,0.8009704029155388,0.8315709481187934,0.9456514036179045,1.9002328915837705,0.9685603320211137,1.4906840414012814,0.9340941768473455,0.9533358346601439,1.0573566362284172,0.9438394339886557,0.8675356620813858,0.7339884875532802,0.8882549183653498,0.7191944302730529,0.8485834627891211,0.7013140215930598,0.9982642578700582,0.8295198102547647,0.9319548721598347,0.9524828259660683,0.6574658221575667,0.6612270278195904,0.7250728204118306,0.9480350485579172,1.1960728709050938,1.4173534908638294,1.4594573657084073,1.1879729776945809,1.2747782057910797,1.593058348040314,1.3418670399944934,1.1714656592829409,1.540600635859288,1.6702039468040386,1.300540130934023,1.37452708699907,1.658204852573705,1.5517354664947218,1.2285446285703554,1.3417187156140207,1.1197472068751355,1.129577213193433,1.071532463898687,0.9717026152140118,0.9847310402953902,0.8209517315369653,0.7889294954619865,0.7641762823032948,0.782332019839863,0.7020358303200491,0.7377409522256052,0.9315314985565604,0.9077929971809354,0.8641780763770149,0.9863759332074709,1.3387470250057778,1.2812800231722432,1.3371978692773294,1.5751217147263108,1.713288449188808,1.4536078203562783,1.3283493601067182,0.9431803897565123,0.8642311275499821,1.4279027647581648,1.5204821818679732,1.764095171263313,1.8672405861882415,1.1270619990353563,0.8479339013552535,0.6396419313162013,0.6060279798957352,0.6828079628560286,0.6481925618533051,0.7948207179406545,1.5108468806393973,0.6618124700671911,0.7756240694056176,0.8470985436867339,1.0412820704649055,0.8008570707656444,1.0730353046609447,1.7596197693058127,2.0842739767210854,2.974807572855703,3.6692844536254765],[1.1334069806604148,0.7122395558166287,0.7472299149839777,0.4839645406654926,0.5341705340800913,0.4639168531496255,0.3085262884125608,0.4539594633068199,0.33148289989358243,0.31078858096176404,0.3722405673422953,0.49707307227776826,0.384485157978339,0.37715572406543385,0.5882064321808793,0.515410622105211,0.5251410711437143,0.6625353451300685,0.8039810877607801,0.7447695481933734,0.8343960845848963,0.8833261464874416,0.9566481902920431,0.9725720763514834,0.8157530074487396,0.8137461527605683,0.6545568119883647,0.5509876444797971,0.558243676840435,0.4845608788519211,0.6370688811895465,0.5750539083176031,0.6801929575921877,0.6510478109499838,0.5810181244141839,0.574902156131735,0.5287625800651943,0.5490721690282689,0.555781674041463,0.5204397667952912,0.6587879572954732,0.7395884948949524,0.774349954349701,0.6857819331546076,0.8755429651322354,1.059378996952229,0.9432660803619868,0.7617368802385648,1.0873855856289982,1.3777599657594006,0.8094939084992632,1.0984637982931937,1.005780699389374,1.0089121515711013,1.5554757464059321,0.8743566328109219,0.9911060371278586,0.8724075235778848,0.8516822061023954,1.2907079871517901,0.9777291074144489,0.8385012813535975,0.8158199810855933,1.1858235248575375,0.9121374446114385,0.7565539652163048,1.0524378472019444,0.8884777656282686,1.0020334459931548,0.9165557915526392,1.1275106288653416,1.4260956826367246,1.1621047755054865,1.2733478815864867,0.8747155682156574,1.3135352195817398,0.805765594825237,0.7560252532274361,0.6728927822874254,0.6748411051474105,0.6460703043586979,0.6603917490461131,1.2265211983886282,0.6178999551020399,0.5688781317026307,0.545025593994923,0.6096148489371711,0.6197587594146738,0.5971861239030217,0.6646995349690751,0.72219625555929,0.9059129556470185,0.7699547953475736,0.6988567381327216,0.6484824482367028,0.7032044539617409,0.6420457564017426,0.631362920619214,0.617346978569395,0.9778853715960866,0.6562766565304174,0.7585546267062503,0.5883396491683077,0.6628266546159411,0.6266799894110926,0.6445364958307195,0.88223698139465,0.5513114714919516,0.5716897990587054,0.8594520035811786,0.49604020027514467,0.36623539662953214,0.32064017671138095,0.3619026583590153,0.3690768838527046,0.421731829858167,0.51128640415139,0.5321338676565187,0.7236081402590726,0.6729636509218384,0.6424938115651009,0.5544655237379664,0.47251357926817156,0.3366945906422152,0.31617791360363723,0.3508462352125001,0.4158866508310919,0.39344388048135637,0.38393385885495074,0.4662738724290291,0.4345709292959022,0.5134903467654667,0.4154902259629245,0.5667940395744393,0.44878770772917154,0.492596522535934,0.7141210530726267,0.40727866116417044,0.41341847248821884,0.408297618061125,0.6650189590159422,0.7058778048868933,0.6080177313929283,0.4511357026166624,0.4759991038339691,0.4836936558059059,0.3892660646603653,0.4188260205766541,0.39346874070008925,0.42143303643016405,0.5469881651476596,0.6532253607341547,1.1807511782809907,2.052102765701539,1.357436339885694,0.8558842511860572,0.5643872577675262,0.618474606531328,0.529518770603443,0.5491771124501712,0.4123077361413469,0.46127695849212014,0.40418965694348163,0.45208170369131206,0.4358583834102486,0.5737704270605569,0.5184286853284916,0.6854116454135104,0.7453518174403738,0.7610005171125905,0.5272144087790371,0.4030303245388066,0.40307219010871614,0.42042027996650316,0.43455987064224383,0.515524785416645,0.5304776417163709,0.811648229088313,0.5134187584273091,0.580721222402788,0.48682198680033406,0.48367258138470565,0.4744428944434555,0.44058029227675616,0.45566484779558775,0.49986611835237904,0.550851824191417,0.6424103128911078,1.216487159364552,1.9261120294152672,2.4890567158852104,1.1174891343682243,0.815719540725832,1.0254445318757661,0.6512832927090234,0.5144209944619818,0.6202882470245765,0.47941130406167565,0.518882307389177,0.6043014888427376,0.5349060691173438,0.6630960362539268,0.5294194197199381,0.5601034045025975,0.6366661964956093,0.6436921044141987,0.7423876964043357,0.6483703780639352,0.8216157681619746,0.6692561141232867,0.7617402558790072,0.7886790258586156,0.8229978483473548,0.8789400732821728,0.9386807489411892,0.9383459202744218,1.0466750217749694,1.0204155109670001,0.8410236812369237,0.8161179353136511,0.8518921550618664,2.056204600546871,1.0178267123253326,1.529127769825601,0.9300990238575935,0.9713764494662369,1.057645857480683,0.9888866448399151,0.855867366059574,0.686351412318694,0.8772988299992434,0.6672076996926499,0.7691847391837253,0.6339926145073678,0.9866486157870941,0.7234123836942932,0.8693342569926703,0.8622939251221876,0.5956918011009799,0.6213818040442112,0.7220382109158476,0.9258870015305786,1.2076542579036709,1.4512298202615683,1.5002100409457955,1.1729699517199876,1.256600084989855,1.6007115593141634,1.3269554871564937,1.1042259290444945,1.4644365398152526,1.562329342757339,1.1627659429684376,1.247439378063132,1.4987784180842787,1.3323421005792064,1.075423393032257,1.2135592810048417,1.0207201900318557,1.0501804528161536,0.9966227587739477,0.9294849270568196,0.9143601761852602,0.74316455170845,0.7443057219981599,0.7196911928957742,0.7479092262903593,0.6571630855602573,0.700164960349963,0.8987203120131838,0.9146899303724416,0.8283345438574723,0.9488127497750202,1.2973882421688072,1.2915511739587744,1.3831141947481547,1.605998072014149,1.7906687137047925,1.4876983357183298,1.462292568336727,1.0158571123500955,0.9901838406079267,1.6444007077529668,1.6478576545577406,1.837298585586133,1.8868583506766428,1.1134228839190727,0.8681966625391109,0.5674294222483546,0.477333287346435,0.5548857814605735,0.5879714751904942,0.7474222235226732,1.514982642855902,0.5937489694568803,0.704451953799836,0.8363048933992947,0.9352200479763116,0.7256212293857004,1.2238509991877862,1.869074121871721,2.048577231269816,3.089555737986733,3.8476751454238887],[1.1088930682568998,0.7112033711178248,0.712934172076459,0.5217876818050539,0.5619420127007873,0.5000907703664623,0.40406876961091376,0.4695976874551545,0.39131428835443716,0.39765384786782126,0.4422645410692786,0.5355706299705115,0.46978747865604037,0.48806782234588036,0.6632184977567628,0.6291152483979977,0.6559060148339444,0.8220133465490419,1.0027138532456592,0.9315234254650531,1.0488982784741891,1.0847103776186537,1.1611761812476484,1.1868465375456072,1.0441199542693904,1.0314597101990466,0.8324293570444893,0.7014291727879904,0.7076597820382619,0.6201410136892505,0.7605062211921668,0.6761957625124124,0.7663487971016841,0.7939399572143582,0.7112725172999236,0.727064096106122,0.6580162440303177,0.7238498547621646,0.7433874037352148,0.713433406333007,0.8316131426882615,0.9370427968747336,0.9817962025193776,0.8879361155773584,1.0443125833899478,1.1451570600006467,1.064349816086253,0.9578039444202403,1.16998374138406,1.3687026402701217,0.8906473109402693,1.1144038689804627,1.2323540186751405,1.0795666045384775,1.5719945928182657,1.0697287043754509,1.1526548140725892,1.0450866405905468,1.0050278174658007,1.5018186525271684,1.2035240892148993,1.057931121051128,1.0299596350129827,1.4259977559849417,1.173585925539638,0.970194632572439,1.2307057159483221,1.0669673286164958,1.1913421976100125,1.0658925737266678,1.285604703904411,1.556521780952608,1.2846955154436661,1.4443971302857996,1.0679724727982092,1.4554227200153527,1.0216458513960482,0.965846717632486,0.8784706391895899,0.8560545703083077,0.7860429473040703,0.8107293620053931,1.2966952708205486,0.7477380385199934,0.7295986050267363,0.6913001394197941,0.7852447666635863,0.742931511899295,0.7807396403543558,0.8388350613816596,0.9154790143339304,1.058701459705349,0.9142606915818736,0.8172264354974041,0.7537282168944452,0.79432316133246,0.712338637879895,0.7096270158235367,0.6665242739681984,0.9832781966863633,0.6795549252211158,0.7375312215143786,0.6101243008097904,0.6079682073984379,0.58007865970225,0.5878224490206196,0.7865921102658227,0.49632060828936964,0.5041138012894235,0.7968390486880086,0.4445268711147886,0.3941335137080293,0.40368866139796467,0.41651777622527847,0.4552292540037346,0.5279740286983594,0.6003626798419353,0.6948669540662672,0.8864188509478065,0.8105042585406134,0.7687656970187057,0.6584637500894693,0.6046666120418632,0.4534656225711409,0.40122055755591873,0.44396094664958785,0.4572478297140224,0.4361469619675566,0.3996233368899783,0.4416532359677964,0.443276564060117,0.48003507675411866,0.43608008226086764,0.5585849468103605,0.4947859440925115,0.5348668466987863,0.744913190334294,0.4936530987081271,0.5042039334386813,0.5627341795262241,0.8302144526389671,0.9096706022025156,0.7762842054492892,0.6076888624799753,0.6256548068375767,0.6226526041682374,0.5108141697405859,0.4947342720319228,0.44661927835032544,0.4473823578820286,0.5329565189011154,0.6542636129734659,1.1102970584331116,2.0496296514124484,1.389545631607618,0.8226580284715197,0.5641731445902144,0.5775839664462936,0.5511295397206393,0.5145830497309993,0.4628214500815606,0.5431772987545667,0.5471832505375489,0.6035984291650447,0.5729247461449548,0.7105992814804415,0.6445124013762187,0.7891727005435271,0.7923914216232046,0.8288014739337091,0.6163356169175552,0.5116980754052101,0.4981986710400503,0.4934361410587987,0.5080832480396922,0.547931186038779,0.5780556327449753,0.8208096876912179,0.5873680460357813,0.6165094524270197,0.5509935523708244,0.48795762719924607,0.48979308946512934,0.49971196348149594,0.5566312936900037,0.6392641827964073,0.663048926414911,0.8748986599246088,1.1399481457841982,2.003939045546965,2.56371266649753,1.1870423418615625,0.8614246340114214,1.113568648731119,0.7232886247770572,0.5102071795559254,0.6122728349823956,0.49211939694403445,0.5400357688375383,0.6070875594317287,0.5083248238201687,0.6100519586752537,0.5058703164383911,0.5519951057604164,0.6042465691027238,0.6175615003535694,0.7240837552210948,0.6456724384717853,0.7818511474028117,0.6740611423822181,0.770992191776141,0.7936013055604672,0.8196254978719046,0.907154725504685,0.9651254445777426,0.9452199190100786,1.0558608965342877,1.0313108790521626,0.8455633951720365,0.8139504237327698,0.8365323018266918,2.0340966142364207,0.9857553542548202,1.4983664491676665,0.9067720042564501,0.9425935536645733,1.0026807105960414,0.938824427976577,0.8263187953492187,0.6582518687036883,0.8035395664366756,0.6471902540244674,0.7853133193347589,0.6062162042787018,0.9705995765221568,0.7445747377246473,0.8853890742667024,0.9018216402516049,0.6067952374402404,0.6031743876688725,0.675878690401741,0.8592359790276995,1.1367885912923297,1.3521907732859744,1.4064166393970217,1.0831803628316967,1.1558745284565155,1.506811647798444,1.21465167267867,1.0151510586808001,1.3499550853482774,1.4371855663974973,1.0752931905053777,1.158111469143574,1.3916733809625623,1.2357172963495942,1.0295177164826999,1.1533384682882073,0.9767079696134296,0.9873720620201629,0.9273422029945589,0.8658185488810144,0.8653208984569982,0.7194556413692584,0.7139209808068502,0.6976447367889578,0.7425245350245607,0.6701502909595125,0.7015025127144003,0.9125036614753079,0.9432061029697226,0.8624026669297667,0.9729362486626016,1.314483980789413,1.3065743395298473,1.3811339919137955,1.6237882070155878,1.7907152953244396,1.4868785307536707,1.4242186681706677,1.0070565205062574,0.9651521198259454,1.554868729576714,1.5833452996747237,1.7899716706913498,1.8667126995243817,1.119114885143882,0.8676366887101159,0.567166486701918,0.5011558680279833,0.5250451235502752,0.532684967383313,0.6867872835180227,1.488347642614176,0.5513503495484573,0.6904360557864803,0.8430583343219983,0.8608931358035521,0.7613293330276486,1.299706383629981,2.0125823116249273,2.2206393172426324,3.209968115726908,4.058446379796961],[1.095429753958897,0.6942213151483133,0.7123105980863179,0.4874703485760162,0.5283122605532399,0.4766285188752399,0.3507634391427136,0.43686640572718766,0.34810033464765644,0.342469331361986,0.383954214801975,0.4979675783088153,0.42096230246838556,0.4253968275127587,0.6447807789493553,0.5989435404636506,0.6075052554848415,0.7797795353926127,0.9442789666229422,0.8851301779563391,0.988055704437007,1.0184288313901826,1.0936484252064043,1.1169203118913398,0.9565952385143149,0.9530661128796063,0.773547494308765,0.6535304344120483,0.6653108580291172,0.576745770698684,0.7353382447886212,0.6474729099005618,0.7546135794128721,0.7558166425848082,0.683260535080738,0.6881198899597748,0.6249854034895712,0.6718470553622915,0.6771136316222375,0.654258705744171,0.7833596110082933,0.8797248770586034,0.9228024792040027,0.8344871413506186,0.9594979779224861,1.0702297057103887,0.9855656102564219,0.9037608764714664,1.1462427089165332,1.3581578526474396,0.906924826899996,1.1411443006851685,1.173506486813019,1.131518644892448,1.5903872901436673,1.0019564956982818,1.120799905848881,0.9733767740642629,0.9577871769707604,1.39423217283208,1.1394359788449262,1.0058466867896603,0.9750688223258726,1.3495240929751997,1.0848881280186056,0.9134549572604677,1.1877685046462283,1.0256959163368276,1.1254606624259003,1.0326917247897625,1.252181046009554,1.5640197283629975,1.2684843962499965,1.397650867586319,1.011138014716732,1.4088772128827587,0.9517461123089316,0.8986243743309386,0.8177270111674123,0.8100863030962782,0.7526397921297002,0.7585200858181804,1.2732319750089578,0.7421901098417097,0.6859255814889356,0.6617648988464949,0.7260908777512523,0.6918596889813062,0.7294936055572303,0.7801225258622009,0.8532812678442282,1.004142086328471,0.8819996345857718,0.7884871436306353,0.7265265254460836,0.7712774372247108,0.6930034164601581,0.6876348232135158,0.6545536954503588,1.006003302174128,0.6798090625292664,0.7427578292914219,0.6262869108187232,0.64102015752756,0.6160306628856483,0.6116624613590962,0.8021370630171207,0.5147662872470447,0.5147645450687981,0.8253638770130572,0.45084936704877004,0.3883946850485979,0.36195511617536685,0.3883692114785517,0.40172701777404884,0.4736525867793061,0.5720218753652843,0.622546912887191,0.820512313413361,0.7668904830058952,0.7186932995407668,0.6248306954393252,0.5386742361340443,0.3694004075688997,0.33182074454206595,0.36141036975045415,0.4354190200050718,0.3896750330486888,0.35522214904020405,0.4414519555394884,0.402168144285644,0.4491527402267516,0.414063520445678,0.5956946541539916,0.4620477466898919,0.4865870015597204,0.6864302747640264,0.4072069608951735,0.4101241449377675,0.4783832861185105,0.7437066061067397,0.8234394573681115,0.6994476703097057,0.5379518119593213,0.5674193812910314,0.569518247489674,0.4638601796405838,0.4577061520062277,0.4437175941668157,0.42181109158775326,0.5187231452297799,0.6271515501320639,1.1350133176377177,2.054444935213919,1.377727409528583,0.8417422805260234,0.5552189630590885,0.5865604986770371,0.5592587204674198,0.5341018035017072,0.4595215713546227,0.5283558592199494,0.4969367532242137,0.54617707614766,0.5131242483593805,0.6105793936528321,0.5555585105631515,0.6836417143423218,0.7141358592838907,0.7583669595246076,0.5505499959000777,0.4549186808259595,0.45165401311345177,0.4752090021849017,0.4979242064638839,0.5561033324371323,0.5880443978596421,0.8676045233306549,0.5880120730071022,0.6727106924938746,0.5319978714247573,0.5025330148251794,0.503194458654265,0.47133826280357016,0.505214776964384,0.6010323208533008,0.6338911036519852,0.8218843097816082,1.1331988932674484,1.8963648665206707,2.4825489192523698,1.2530846215714189,0.8485856860192873,1.0660453413152826,0.6912168387772345,0.4930437733311285,0.6267361292744418,0.4459493590923542,0.49485889343259953,0.5670370077037719,0.5274373015195444,0.6403323665874912,0.514942222475773,0.5422543338525164,0.6144114329304396,0.6171150314068562,0.7441104023072594,0.6382302939545643,0.7681261822982877,0.6699586873272289,0.768016481039152,0.7718887689131958,0.7907105045002808,0.9027403469903741,0.9638114078658369,0.9478918607832072,1.0350952721885789,0.9893735302382316,0.831921226194771,0.8012543553341955,0.8158487169619145,2.162910560225081,1.0235319943883165,1.472336130641295,0.9035271135371128,0.978178166390049,1.0362587744428522,1.0103745084611528,0.829829328039948,0.6573044969184337,0.8094561836938294,0.63179547340866,0.7235888680008472,0.5574131215903677,0.9851674906544013,0.6365659096825267,0.8277396924207163,0.8450960466738028,0.5659906080952205,0.6050915289498627,0.720976598762315,0.9025372462310961,1.1799859924997351,1.392598846762482,1.4383989008798088,1.120099911491591,1.1847429349919765,1.5235857389220233,1.2306870328610884,1.020762583225166,1.3266402925168561,1.3896589194543492,1.0407686600157764,1.1266488323470432,1.330361389350693,1.153415115508817,0.9887568100144932,1.1086530491632003,0.9547314780192885,0.9769207198690896,0.9316380851991998,0.8902121093043328,0.8608902692277366,0.7144682974892859,0.7269308959610898,0.6897728318150067,0.7242368485162896,0.6480418148702254,0.6723669662613911,0.8563143924803954,0.8967604815665171,0.7841206327272281,0.9066950896764661,1.236313647299154,1.236636835694691,1.3330203185761431,1.54345366964375,1.73751433720626,1.4133128742586067,1.3978915379766572,1.0018352321972184,1.0058638251821885,1.5877252810854583,1.56150043086728,1.7239580835909165,1.7859893759830285,1.077254314860516,0.8443531172603462,0.5312265723753907,0.46571558934968205,0.5309921492847408,0.5329106718587184,0.6824542979400609,1.5030619265407437,0.5416732370868731,0.6724336816189945,0.8448945039868065,0.8181619847427444,0.7647640165040737,1.3682442188470163,2.0519768771811497,2.287129627950223,3.3236874838214283,4.264926641420107],[1.160379210291085,0.8278754603452411,0.8945099056983141,0.6743417569988793,0.7167525361286053,0.7258184311335921,0.6215880447154604,0.6883686443105784,0.6113979056751013,0.5719507048578728,0.5873927317543236,0.7159959544940294,0.6079465644640231,0.6055783542791084,0.7666438680439899,0.7474906039915961,0.7445141697056862,0.905491113411268,1.04936768717316,0.993408985825279,1.0956013457654614,1.111531584737032,1.1979824815934217,1.2314417941398803,1.0626366536563916,1.0612560984576855,0.8887238520796045,0.7844996154807455,0.8066622734665841,0.7351456511105816,0.8805377608265476,0.8061715647581162,0.937580986816612,0.9080970814080771,0.8384025873990135,0.8445082962402886,0.8029113666104088,0.804660209815342,0.825028601985325,0.7861447696577941,0.8894921041772311,0.9910763954444303,1.0268718546121207,0.9579790267796853,1.076576068525257,1.1673000698822795,1.0948005470361397,1.0316901328690746,1.2400798170675704,1.4234831945949225,1.0370461945610256,1.2448474837456698,1.2924409254703817,1.215730401517181,1.7234320906941383,1.1282868539965931,1.266046397585259,1.0784052215130258,1.078530683190398,1.4038370235598059,1.2350422874877363,1.1086958701928091,1.0828527529464647,1.4854466284286414,1.2002963548901697,1.0225784635054522,1.3001733749941733,1.0993449975602407,1.1811977083491,1.0956089713739348,1.3234192412779562,1.6670613589526302,1.3300351254721074,1.46143553431695,1.0947982024139877,1.5023530907758538,1.0512224965907873,1.006941292491295,0.9351500337560428,0.9543650346378552,0.8904337755006826,0.8873482394934126,1.3461916589512113,0.8999748225434975,0.8350311416385942,0.804988641646912,0.8597094238621739,0.871418812739422,0.8604248504023643,0.9193978284850151,0.9500812546490913,1.1044737439415728,0.9971653790445865,0.9186998742232161,0.8609867373654716,0.886764451149427,0.8382296861092213,0.8445536750983685,0.8161121952681722,1.1533768018650803,0.8655227373570076,0.9585761386003849,0.8393625078186236,0.8631265515588715,0.8451920353169798,0.8543051075776349,1.033866970206235,0.7597607874760757,0.7285909519968333,0.9456587992691785,0.6883426522097118,0.6443416018939458,0.6131234948636026,0.6191106255546238,0.5995628677440502,0.6186889813027455,0.6864840691492778,0.7138891686553467,0.8951939926142866,0.8582376726391328,0.8129713256844386,0.7258730739361736,0.6358835050153093,0.554394326259145,0.554233842299992,0.5962049742422536,0.6563519091745499,0.6531166043889821,0.6285622908333669,0.6791483321133273,0.640239116333086,0.7105362457785781,0.6629652212606064,0.8088417233823445,0.6940035223011815,0.6854961117617361,0.8317599965014941,0.603904756316111,0.6023371464532132,0.6028228628928057,0.7939532779849791,0.9062392901941124,0.8048255248629712,0.6656906219985814,0.7046964091578353,0.7221188961985157,0.6273836715157077,0.6578245934828084,0.6425016551153949,0.6380236655308127,0.7488611181149232,0.8582548980685419,1.279075643126407,2.08676111959042,1.4618127889308201,1.0144199541848997,0.7732934104799998,0.8215445037761823,0.768793876805095,0.7562119631529859,0.6760091183427902,0.6969550322528782,0.6520695532917525,0.7023458451528285,0.6701247275885772,0.6947968494164873,0.7039779992476496,0.7584486956172806,0.7908165249301208,0.8293345785459668,0.6911101106652857,0.6224105557111128,0.6399075140519823,0.6649872480698094,0.6800579361902583,0.7603562107792807,0.7613951191781405,1.030352503926243,0.7650128628024919,0.8544566625809215,0.7144048174083736,0.7267253404910479,0.7302115456265722,0.685472352983841,0.6924675848712812,0.7522610094165979,0.7750876611309766,0.9427905168804606,1.1731282083799492,1.758591642576987,2.4178183121857115,1.5097597145948538,0.9429118461456814,1.0813240990326705,0.801224660697574,0.6907547240032834,0.8091543875267494,0.6619160839011543,0.6905180774303414,0.8012567647850909,0.7557165277169806,0.863153305160027,0.7454154322534517,0.7307028657350075,0.82363148491658,0.8162095054304561,0.8282925838310493,0.7982720397926105,0.9510976280485655,0.8515580684656318,0.9310757633917719,0.9568384409328831,0.9775165942476536,1.0671127695929785,1.1086440628616392,1.054387760391039,1.1404669881659804,1.0639678873232925,0.9565235109397707,0.9389939932088036,0.9536127069049272,2.258765437268135,1.1290102445196737,1.6113986911475813,1.083020625680396,1.1831668197967342,1.2491937597280278,1.2436697342103482,1.0232133825273864,0.8845060255802198,1.044400649441935,0.8762626781304887,0.8661857878320697,0.7765110293495114,1.16376145569388,0.7887530087269672,0.8980069657881876,0.9084329594814219,0.7422921962383952,0.8030402562082963,0.9801738463507302,1.1276698961067453,1.364498151101716,1.5622890255125708,1.6173176558847917,1.3022013063913096,1.364227780946617,1.709578894089792,1.3818450347697089,1.175412691491817,1.4442543175628417,1.4790883622623117,1.1651132644302822,1.2556430970277868,1.430051499582322,1.2504448069368668,1.1439287096757664,1.2441252588646474,1.1231841274285865,1.1496541012796946,1.1203472532062146,1.0943173908686985,1.0357355893512539,0.9081949354197968,0.9492873496457142,0.8850604358023019,0.8965040402143108,0.8215233301556778,0.8580844529522437,0.9716163849857281,0.9906403608334803,0.8782350737559341,1.0028169859568348,1.2523268324396346,1.2829944941052076,1.3621588192975425,1.5472840627604572,1.7518688747217654,1.4425347433195022,1.4329794060343761,1.085643623174018,1.1196610356476075,1.6318130369902184,1.5945295303477363,1.7275852428120628,1.7965486801038493,1.1508993760630266,0.9592607214375435,0.7174594542394988,0.6828197460534653,0.7348905620262323,0.7511066364602526,0.8703267607075663,1.4943246609647043,0.7601620606766349,0.8616643683924711,1.0055212442045858,0.9662596226255328,0.9365332909314229,1.5674157977120597,2.1613646937729016,2.354789015042747,3.385858343112459,4.39886978279538],[1.0893328521378534,0.7073838854648764,0.7713088669035119,0.5639242754272965,0.6060027561138369,0.5987317569165027,0.4841599202022962,0.5529767654024078,0.47150518940084585,0.4205190835617693,0.4501152941215944,0.6023959533760447,0.47922962808705655,0.4852084203874795,0.6824666173355639,0.6447634456550915,0.6702879561821418,0.8661189854288004,1.046262412238845,0.9780489076912303,1.1048048042081104,1.1157997668933903,1.2061880964711034,1.2427000177722625,1.0599137812203738,1.0557616467753144,0.8593498226414984,0.7305761912042739,0.7397912915178848,0.6351474843365404,0.8000820019686227,0.6918710327119254,0.828354215518194,0.8227231115617956,0.7460006057889358,0.7642431534691404,0.6923536683323473,0.7449595554222681,0.7641269258992026,0.7343206650791486,0.8593324287550981,0.9634717367501854,1.0040982857357277,0.9266743069881272,1.0258636232565521,1.0977069661195806,1.0513635084469544,1.0081479545523555,1.2036597223644812,1.365643025002392,0.9956763491069517,1.1748683455213706,1.2767253293803402,1.2023354547698224,1.6611337050864583,1.1007238847996583,1.2186651283739003,1.0477018240975366,1.032453497387531,1.4391159228508796,1.2366218511665776,1.0936175981810272,1.0566386703196378,1.4638960010627025,1.1971249360211806,1.0072480976589606,1.2946165393313447,1.1136470240615752,1.2039527313810718,1.1144630140018847,1.3403631633479218,1.6968459974166885,1.3654805044929743,1.4834228511922467,1.0951892142659991,1.460253894555143,1.033707653511528,0.9775514100719545,0.8993708901381651,0.9036321238578039,0.8203378339380467,0.8329662969158875,1.3425012450876945,0.809721493717857,0.7624218051681896,0.7176001593140096,0.8019322668376064,0.7763513302385575,0.8093670548689803,0.8570260924667614,0.9228798599575825,1.0649362997493337,0.9451738236835822,0.8446498276906076,0.7746401453717264,0.8067273748978461,0.7179268655508722,0.7367515067549583,0.698157220479849,1.0692873159269014,0.7387314977117537,0.8314601536340376,0.695945188552558,0.6917424447267722,0.6647305014178435,0.6692165747856401,0.8540149707575005,0.5871184852109832,0.5846743425269212,0.8574506513394233,0.5413961892269533,0.49141959734189805,0.47161865065957165,0.48989618482919906,0.4769880709156338,0.5525170317438867,0.6383005359842352,0.6907890683045351,0.8641711516038707,0.8316583373213542,0.7841366113359499,0.6855829577158216,0.6220302434974548,0.446650112274533,0.4158014965072648,0.45391435541178693,0.5492764636555283,0.5075737893828454,0.48980987496647654,0.5195078633392944,0.4794934629426528,0.5280061749155958,0.4984830542468359,0.6534232154523607,0.5512557487454263,0.5589916027869319,0.7500365778798835,0.5163201548824199,0.5252139745719508,0.5483288586297793,0.7839824022984139,0.9066805424588577,0.772057030375178,0.6087459516524002,0.6429093793707236,0.6371124851528454,0.5318562513886618,0.5287095868974848,0.5122136242954304,0.5085405678305229,0.6183906737625142,0.7422961892587544,1.1401532506406646,2.036353481316055,1.427167246356996,0.9029165006606731,0.6429065400221101,0.665218841444528,0.617736529837145,0.5936975910981926,0.5232579137401205,0.582814819624522,0.5590249509056537,0.6200748244187185,0.5677731320103233,0.6648061492441738,0.6171819453638431,0.7219042000710872,0.7421498734719894,0.8001330950479911,0.6133094774978856,0.5272664474826647,0.5126139714925007,0.5331402620971791,0.550999758440019,0.6210091920093123,0.6273315445449832,0.8874431034702346,0.6443183947495382,0.7091517198058009,0.5914103197582636,0.5532804636459581,0.5541754261584427,0.5385579045955173,0.5709532146934758,0.6695354343824689,0.6706451421235116,0.9092751209315237,1.1207337737682155,1.8345471559761215,2.472346264928956,1.372520150060507,0.8828636227181846,1.0405609599831422,0.7149539512830962,0.5633366468832438,0.7087699194489022,0.5224709310269872,0.5540499625763665,0.6517965743326585,0.6140337873235883,0.7187953500805813,0.6005263346642877,0.6065642343637192,0.7014830441750527,0.6998110575699384,0.7397242824409567,0.693895238394846,0.8364193886400482,0.753398666996247,0.829112071582539,0.8494668165491307,0.882663255640289,0.982364608019119,1.0137098992347036,0.9662637667659915,1.0485373264557512,0.970500368052753,0.8597415967077356,0.8398780926545395,0.8483333534288348,2.221825124842458,1.0888410089183886,1.5035613284155638,0.9636792691769844,1.0369860484362687,1.0849310552484526,1.0849056978965907,0.8842723294574905,0.7270871311861035,0.8786235523115906,0.7263616694558344,0.762052468629132,0.6335987960461884,1.0404457492855226,0.6611208157488045,0.8197644035695306,0.8700205921964002,0.6150598328884537,0.6612295408325685,0.8293751553501428,0.9726588533656225,1.2259198554080328,1.4029596593116433,1.4518841643155505,1.142146594112264,1.193356515997402,1.5360065775365648,1.2118612546126424,1.0423348363848446,1.3166872819731494,1.3621955560560068,1.0537469405410043,1.1396236282161276,1.3165415419329352,1.1481442883113844,1.0415827072751698,1.13633193047993,1.0064848257392645,1.0216876715015615,0.9814080162954326,0.9534952640070651,0.9146569497067555,0.7899654972272467,0.8080490055838776,0.7587617163939467,0.779855961849459,0.7066539313560313,0.7364902526877873,0.866945490648269,0.9072559663110181,0.7977396225198832,0.8983010689271261,1.1886070067819638,1.2021325855184843,1.2916496338982433,1.4966048851121594,1.717184565621194,1.3538781938777498,1.3431859577811156,0.992255588212188,1.0233056868701491,1.5303559169314391,1.4846382252312273,1.623373907230313,1.6999767511620392,1.0586443788634035,0.8566316947543136,0.5854830485283341,0.5600496886995401,0.5980694202862477,0.6133403164938278,0.7688218624380094,1.509205877617983,0.6339467333633573,0.7634722070690193,0.9589723089011158,0.8297296443165577,0.855313479333757,1.5027947604613052,2.206126956616962,2.474983230223205,3.4801254199669516,4.579872124995259],[1.054263760269047,0.6587443928685573,0.6163620920997073,0.5125833373047689,0.49020280814645834,0.4680469495856953,0.35923861351897385,0.40618773131346464,0.3378655073873666,0.30955998215325553,0.34882610091921906,0.4911517308343804,0.38819161932084656,0.4030716588566155,0.5771716627806148,0.5563449884642444,0.616705912826116,0.8095205336305035,1.0184171784403862,0.9408370462629609,1.0709817677970945,1.0906946958272443,1.1842379215715155,1.2221381414715622,1.053100039263141,1.0477974912686023,0.8412936428810347,0.6973398368269155,0.6886806801367819,0.5601779784327022,0.7126556588862434,0.5974359593619222,0.7306091643870437,0.743007698482973,0.6569558360289903,0.6949406988347095,0.6135859121604982,0.7015505308007822,0.7308814179748644,0.7006516616004499,0.8440548897921398,0.9453276195805747,0.9923971406101375,0.9081923825332292,1.029508131743158,1.1198507617354534,1.0602686315179248,0.9912450965403649,1.2015379704985523,1.36006129759115,0.9515392579205644,1.1469072124306618,1.2773888977623853,1.1298440166488075,1.5970206720995603,1.0660720138075646,1.1623958496620983,1.039388356213354,1.0008140782152808,1.4421982439841703,1.2010466550387258,1.038661967235913,0.9997745879773678,1.4077631842121048,1.1540007772364125,0.961777840453472,1.2488089577842283,1.0550464000463966,1.1727060590166354,1.0581137361518576,1.3014129854294216,1.614470620214021,1.2844466413155564,1.4349532059800096,1.0219079723179996,1.4205577040150532,0.9743670075384842,0.9029775583190496,0.8338177129275499,0.8431832558489352,0.7500499620249952,0.7863601994729491,1.2674445658051836,0.7240120472323187,0.7341375042697326,0.6658267155399383,0.7570246853653116,0.7049482328032967,0.747932972565881,0.7837686733553635,0.8598176645229556,1.005419643406062,0.8579929914877472,0.7598052068655999,0.6858740664246367,0.7245618684031542,0.6236243642770976,0.6547787920450892,0.6027993088342204,0.9791305407043137,0.6186131335527277,0.6880531719564785,0.5649080102936351,0.5489543815122346,0.519403718698825,0.514933311587763,0.6791556775488299,0.4316387398560429,0.4346826135192179,0.7476766170455567,0.37850922274947424,0.362902129385791,0.3648100604656813,0.38197801313129365,0.405223887191969,0.5099479457028826,0.6049096577728538,0.6846772421403221,0.8678053190196756,0.7981529149234338,0.763055240300356,0.6488045749179497,0.6008335753423155,0.4115828650208914,0.32753920350649585,0.3690397712775293,0.5010369403661381,0.37583533253532025,0.3657893799101896,0.39777671633521994,0.35673107236383284,0.3867157938259122,0.4059118309201767,0.5497353221016462,0.46347693560631775,0.49311605444923695,0.7167452682396543,0.4648623577279164,0.4782585086925041,0.5296235666598511,0.8001890275168022,0.9195898672841447,0.7678548417369411,0.598650446849203,0.6167086927722917,0.5866792134029077,0.47564307415698737,0.4350260849925919,0.3918748232282287,0.3711744670356047,0.4783952090996057,0.6410937676381769,1.0182597449828363,2.0172726514404644,1.4259908573075122,0.7983436889206141,0.5297512235030999,0.5400343515298779,0.494778708125081,0.45665860138759795,0.4185762207125138,0.5053721203481506,0.5130512461981152,0.5835677824194202,0.5372023066897587,0.6665078533389274,0.5951057344116387,0.7333774790434375,0.7289226332763127,0.7887260010209302,0.5808071503306449,0.4823013313752027,0.4463981352121225,0.4555247725171567,0.4772790582497119,0.5089165468969049,0.5226542854431646,0.785353123032276,0.5619599392847442,0.6106210636876097,0.519736591899986,0.4341107379400086,0.44037116462917497,0.46139827335913275,0.5154363770297146,0.6128320378507468,0.6189535979755504,0.8760506282319822,1.0445437397339852,1.9164275729254767,2.53712317832588,1.2958028027688064,0.8596644112402854,1.0643158115599118,0.6992498166385663,0.47496324893249875,0.6417653060608614,0.38406707481923663,0.42200441074293804,0.5403891036304501,0.48368454862348675,0.611993932759369,0.47769214994708403,0.4672438397824607,0.5769496217074025,0.5919807343619309,0.6342110865995328,0.5607164028055946,0.7423805303511154,0.6314672253662481,0.6838673589738365,0.7238811964452078,0.7753899477086335,0.8404626868720947,0.8611430766152564,0.8184075811975132,0.9467322625453416,0.8379353946481073,0.7156141607424187,0.6992767559731897,0.7514866148823233,2.0701720542418687,0.9722112170692302,1.4105793765429755,0.8676145384984125,0.9182150835104492,0.9750564826585192,0.9672580592184242,0.768518637259768,0.6075364091545792,0.7546114613059322,0.6033974661051852,0.6612080117598816,0.4959814815973786,0.9547485159395263,0.5767125391585594,0.7229755310286181,0.8423485473548402,0.4810411244205198,0.56768003526887,0.70897953579447,0.86949585164193,1.132375539149419,1.3100485501816495,1.3732053774583974,1.0453406987571063,1.0944344372019859,1.4248493059663967,1.1365491155179495,0.952591224513151,1.2315455759585452,1.2929014205039122,0.9767945788725496,1.055536161872937,1.2415934506323796,1.0930003684992213,0.949869590396237,1.0418494255200657,0.9040619850350795,0.9141504944472224,0.8767670245658087,0.8243772911389209,0.7927307298691126,0.6671909725088478,0.6788677084217765,0.6227870535823995,0.6494454346396457,0.5769805254047738,0.5971165076644824,0.7571397744972436,0.7847253411893262,0.6810107552686915,0.7747567541138171,1.076834870181538,1.0721473168516584,1.1550930629515814,1.3899082886552003,1.5831042443245245,1.2092239994553604,1.1603013410988674,0.8347651286307595,0.8337648994852495,1.3221210167860555,1.2972892225845136,1.4658958100004116,1.5831438249348588,0.941988500247178,0.7212921197694406,0.4474913108759959,0.4419631917073653,0.47937435886528346,0.5006415735644958,0.6627280410134179,1.4564436755111392,0.5290801084143525,0.6605824425509518,0.869910990083826,0.7634830128353112,0.7948330120177217,1.3724436891146372,2.1542701238482134,2.539393684239083,3.4749759628860173,4.641396816419849],[1.012546472737402,0.6145331872248426,0.5760355214977665,0.502530945843116,0.48751268537156106,0.45076531889303506,0.34843434319679545,0.3754744691229579,0.313847392585264,0.3010227455712586,0.3360299769209402,0.4548510391941045,0.37247567117044145,0.39163854774021467,0.5734736531218554,0.5321107892238979,0.5837030441812214,0.7489252821829216,0.9095659889437859,0.8545942184105189,0.9423221733304358,0.974388681630804,1.0412973398204277,1.0642706548954497,0.9293061868794062,0.9291891797638511,0.7613783835690371,0.6418994117631576,0.6425570859210472,0.531274234026069,0.6613645717465517,0.5523008889716735,0.6776991861856064,0.6693461520255013,0.596716043908016,0.6380540485334231,0.5694578803471002,0.6557570290562543,0.6799026639880855,0.6458157500576701,0.7844090501678226,0.8614940597877782,0.8982380294867717,0.8248643751917504,0.948863118456526,1.057741820621996,0.9814671560928455,0.9072876695051356,1.1569367362482688,1.3499663659368084,0.888785822335298,1.1164761981793803,1.2016186812657699,1.0776397462046998,1.567211680083452,0.9875213621449892,1.0957159121749833,0.9632241109957552,0.9190554322599391,1.3817555692071435,1.0898353330876298,0.923153669462175,0.8901184120724881,1.2415708726343744,1.0042404753251002,0.8495616314678344,1.1192159107279136,0.9529129431697483,1.0552720176801282,0.9700953255845135,1.1981159735310531,1.4813291752834512,1.185872875074054,1.2958931028907306,0.9140215432559131,1.3159087494973174,0.8575159141705561,0.7891265031965657,0.7368245787605522,0.7476750417022462,0.6858207657851942,0.7352467455847584,1.2512552619065485,0.682276604259013,0.699490076792734,0.6303697402991604,0.6971680315722488,0.6595397596735499,0.6761183078222118,0.699009018264737,0.7702464244166115,0.9172414533201075,0.7650866120521561,0.6841375659088568,0.6412381476394876,0.6820049617124271,0.6072302737852355,0.6028719995581361,0.5562232767431843,0.9040830192399658,0.5696472556062894,0.6355304344829253,0.5190556109549346,0.5152433604715113,0.4962818241824142,0.5010569772723401,0.6543646175436838,0.41601488927941066,0.4101530658889631,0.7354258347444348,0.3480586352019163,0.35750889974733463,0.3586340039433597,0.3813853764544172,0.39569122531656187,0.48067399464529353,0.5632439574333812,0.6127941402945927,0.7770684572969137,0.7432862063547486,0.6993434638977374,0.6059818856149602,0.5467123325461241,0.38370428029885206,0.31723337764725934,0.3612397529945407,0.5031953581923578,0.37974653952608134,0.3642460144125084,0.3974325758277468,0.35809375030314167,0.390574247639123,0.41292869166150353,0.554503007936051,0.4673577249466106,0.4962275528140435,0.7157648671875247,0.45077141129963316,0.4523011214488394,0.4887371222544823,0.7267967429319246,0.8220277577109131,0.6902895821617472,0.5439293468325237,0.5691890415865021,0.5585795958098903,0.45166484027918685,0.4365544565825134,0.3888107023907673,0.370403751492316,0.4595453541858256,0.611420589060641,0.9603296747003631,1.985794982004615,1.435790348332798,0.747168156780727,0.4894744174856779,0.5015583711127494,0.47725301616664645,0.45477414511722425,0.41445187128055766,0.498750266152542,0.4887689411735386,0.5544752885715165,0.5126253787766772,0.6301724050033072,0.5724357172173238,0.6974987451607365,0.7042510033374334,0.7642640548171359,0.5656679351040276,0.4631538116974844,0.4374628631056229,0.44821742085852984,0.4649489896785744,0.493631547183059,0.5048156753522647,0.7478514307073134,0.5385967129674506,0.5825836944940546,0.5041152928586345,0.43124471253324975,0.4410866821246043,0.459314471776313,0.5074472034693864,0.5858347260403126,0.5859467988047256,0.8179440100171491,1.067784976613697,1.9043418259374618,2.523196533792614,1.2815101986968171,0.8558745042476893,1.0622498639517954,0.6974606281147115,0.4811710764341487,0.6446132766955864,0.38782468675494525,0.4205909140403147,0.528644407113745,0.4572570894200503,0.579320980735927,0.45695944397520416,0.44262219957167703,0.5308629045941652,0.5572470420726274,0.6194172646489848,0.5234082163132282,0.6895180269296434,0.5902243353560486,0.6402353887577706,0.6721491079955308,0.7283318970328402,0.8125595087013002,0.8079798054037315,0.7780268197030186,0.9050675257795651,0.7961858789365384,0.6678238774959846,0.6504819436813212,0.7077791358270098,2.030580985224359,0.9324644005480041,1.3493959308404395,0.8046248256264811,0.8479489232712674,0.9184057154975163,0.9048132954315837,0.7222282095829669,0.5721471525442811,0.7188225182421377,0.5841782097189372,0.6485328965019188,0.4788877296241015,0.9432020921373242,0.5673142721387753,0.7141918687561696,0.8484943117939239,0.4723271940697514,0.5496919860196288,0.6784901151810007,0.8334426291887252,1.083623187600541,1.2532152077789338,1.327061365320108,1.002905274106103,1.0255220767224722,1.3485875041841953,1.0857507343002148,0.8997569849733673,1.1657023162675157,1.236478280164834,0.9267164147772812,0.9900212233146427,1.1727452646835375,1.04434086826461,0.8866903872406429,0.9654632145435089,0.8329128874044811,0.8366734458641939,0.8115601976057071,0.7571958173307783,0.724322341363352,0.6145399167935337,0.619905962008931,0.5706338550808002,0.6065029250083551,0.5447077749664005,0.5589998637598653,0.7310524081874744,0.7622295895219044,0.6606539129856981,0.7515894210826217,1.0523744986122818,1.051023128205499,1.1323992454607712,1.3667006282453116,1.5646745427063955,1.1661371505322176,1.1136229849338468,0.7993552016096327,0.7979912162592889,1.2825068323908686,1.2503614552892692,1.416514114351137,1.547451595370918,0.9244125926007476,0.7092280503428663,0.43830983824789166,0.44136678632657705,0.46502233852708297,0.47278469105898174,0.6311751817127408,1.453949480056261,0.5069834755582091,0.6395041496257301,0.8640693480957394,0.7474798390638177,0.7898613931648879,1.3377933046971395,2.163100591035957,2.6156207269537095,3.5087231480212666,4.746050427872266],[0.99516542943481,0.6152866527566495,0.6091978336004508,0.5343307701387123,0.5185757434220697,0.49492494380689234,0.4201303310289243,0.47022417247852444,0.41147392337487887,0.3695262139941465,0.4077165266006332,0.5642709622159433,0.45562337469223796,0.4315804755828084,0.6115718032663144,0.601689125693291,0.6523089222742657,0.817220053818015,0.9894621565065062,0.9336792130453012,1.0349871927289587,1.0440955617026462,1.120169615635733,1.1541353728981447,1.0074121609891238,1.0069520293509455,0.8353456365607927,0.7192728138797791,0.7217181252940509,0.6136545897359149,0.7288954533282744,0.6329371740074742,0.7455205312159338,0.7326016311155273,0.6735182791970686,0.7132673305142846,0.6557698787310059,0.7278560868276435,0.7598731131287708,0.7328609783761504,0.8474429916601767,0.9244410259714612,0.964548376675636,0.901834065651076,0.9979945208994366,1.072847665191095,1.017129537807763,0.9868302814868696,1.1651250254480408,1.317015411289664,0.9597514922684655,1.1660301292944446,1.2887399964332906,1.1505349615126672,1.5930749994013818,1.0660584574237963,1.1707767353336904,1.0360271342622092,0.9977952740400685,1.4346446178802272,1.1826230403766005,1.0143795605629158,0.97593635019583,1.3441851434820575,1.1050564447416404,0.9355231454683364,1.2005407114923634,1.036249215876199,1.1312170496396174,1.0518131877403487,1.2629616194350122,1.617360348027741,1.2765367729189845,1.3760651757878348,0.9940098169405984,1.3777192596467909,0.9421038095240775,0.8619154350343338,0.8176723463921787,0.839306484655305,0.7615239067159789,0.81561639382839,1.2918158982915258,0.7799810939605532,0.784459577583612,0.7163552595347362,0.7803881494074378,0.7291238217251155,0.7602452604524365,0.7737588549111851,0.8428999648421929,0.9663470971295228,0.8198054140066154,0.7395875394112649,0.6965165886569037,0.7257207966125324,0.6470676243855166,0.6816145109138861,0.6458218739754936,0.9898284237928165,0.6603403744313612,0.7070298923548479,0.6168675479262704,0.5998252592068979,0.575811263588719,0.5596250978177212,0.6688507769998282,0.4967385517077723,0.4832306902727705,0.7636378789662526,0.4404292851157791,0.4572916892331815,0.45149178952580954,0.42881318414390396,0.45228292873528214,0.5460974873387255,0.6322918913089387,0.6886665137524369,0.8442628538498347,0.8054732336349985,0.7650352902284218,0.6669367406026598,0.6242349838936008,0.44250030257221473,0.36833501022934856,0.4076651703230887,0.5601320860026546,0.4386781260206185,0.4436884758571207,0.49036320304910724,0.44421171839140505,0.47084428652968957,0.48768902704901623,0.6205759776418022,0.5273455285183332,0.5355288170945119,0.7185992278692135,0.5028863445975844,0.51430863912071,0.5507939084894408,0.7825364979505615,0.9197960088859054,0.7772740050335231,0.616941271362615,0.6482444048612197,0.6247927986646598,0.5196641615806525,0.48928388811961315,0.47764198710212075,0.45249528726059535,0.5401466259163793,0.6924023954462816,0.9908065926059159,1.9492696734892834,1.483295422078445,0.826697001962459,0.5848343533193118,0.5865451011994665,0.5607372399212363,0.5322526159872932,0.5011540871029782,0.5613614761645354,0.5551248532808551,0.6234236714777548,0.5801730952333055,0.676286298895819,0.6099820574711997,0.7199174329815694,0.7035206843292637,0.7697665801578262,0.6008849532082926,0.5264912104011265,0.5175405428764164,0.5279029753349841,0.5530728818672332,0.5892546552678476,0.5969354461527373,0.8359900622439126,0.6285928894781759,0.6854957734869624,0.5838705496804605,0.5097874637266444,0.5170898784619984,0.5333656605268482,0.5823183969741502,0.6671285694503896,0.64684619110032,0.91227782185379,1.0053367050290698,1.8483608814869545,2.49046184762622,1.3723428895617316,0.8757095204746626,1.0798948908806614,0.7541069168620718,0.5454028950485521,0.6930627768020459,0.459257626597445,0.473508520239362,0.591499093609797,0.5391020025198167,0.6564558293634567,0.5426265480895915,0.5162273552949793,0.5980514999066037,0.6236784670511635,0.6580854722816846,0.578743707875783,0.7325926889300557,0.6450283325858981,0.6784018535724757,0.7127755742183944,0.7750712995812064,0.8553449708849368,0.8408307786034858,0.7997832600452399,0.9312715396967626,0.8021297062123057,0.707469453589907,0.6972345709476468,0.7640450430262277,2.1100677141767923,0.9955408369983653,1.371694080997802,0.8528782851297544,0.9155537032647714,0.9734006346446696,0.983923418242486,0.7902669740898662,0.6529444685130853,0.7604671012394633,0.6490892839371283,0.6879898947846246,0.5347556718610259,0.9970239209926823,0.5969710642172913,0.733433483704191,0.8794605544771685,0.5230023796356389,0.62970375524477,0.7481307900930758,0.886203968303129,1.1262287268030453,1.3065018869022962,1.354475637888719,1.0346978083740783,1.0651017685237991,1.3731980357931672,1.1079628950944842,0.933355731414666,1.1726239837450152,1.2249321683930965,0.9417860310782016,1.013700988072356,1.1715000559925577,1.0568762437257504,0.9270578188928799,0.9961863332572424,0.8761523483914015,0.8804606071640413,0.8529719171657739,0.8112716334131412,0.7760772585687137,0.6760280088455669,0.6868014244254582,0.6410326153085876,0.6664175807395767,0.6048448024163924,0.6219646096721859,0.7414854077599423,0.7830637310498508,0.678880863361839,0.7692923959667141,1.0472911103591716,1.037854723285938,1.1218553386648689,1.3513914707112447,1.5538911708235021,1.1331387992180502,1.0828172110875245,0.8138240762488735,0.8299245819010616,1.2624555826859931,1.2061940167860206,1.3516330016833058,1.4841246973367677,0.9244958449082409,0.7279062901739475,0.4859913401567667,0.4881382146775093,0.5350770715404731,0.5561612776071092,0.6978578858041514,1.4346621658888246,0.5916365779850983,0.7162075422225225,0.9800740801572821,0.7672901916240801,0.8433105435427524,1.4358986687201123,2.274600236277948,2.7364703254364633,3.67843089686856,5.019682356266287],[0.9982206901297598,0.6412205933637837,0.6446979071116855,0.5906894163300619,0.5595309217265044,0.5513717594945529,0.4534281818455787,0.46387967072959013,0.4311027908274593,0.4127221447009301,0.4197583036303839,0.5011381615325906,0.45140232352146503,0.47828653338352545,0.6328690078155651,0.5869239145162235,0.6409158315507714,0.7734453510641738,0.8997083981963748,0.8653365286955872,0.9200006874224209,0.9595742442481087,1.0196470894683942,1.030992882681029,0.9170919161783154,0.9180740578465426,0.7812423813030889,0.683593491951297,0.6900597758981837,0.5845818543016926,0.6866297561981337,0.5977178814207113,0.6743769006226299,0.6765609589520721,0.623610309163662,0.6683914342582868,0.6136054606363894,0.6887816973279519,0.7143324848980188,0.6782329827033357,0.8009446641886597,0.8781782138392842,0.9065381752281355,0.8596469945037521,0.9629403936652454,1.0631980496535125,0.9824111760356353,0.9197023311851434,1.1569948357020947,1.3659982166166968,0.9377494366380834,1.1323051414386167,1.201984192583628,1.1196623065277056,1.6100768069454772,1.0014925955051348,1.1191152560299373,1.0004350221811922,0.9199674914116946,1.3364183273219734,1.064086494755762,0.8970645948435122,0.8685810012875494,1.1627537144089173,0.9440205739863758,0.8418772376608742,1.0912012743659052,0.9450033932681867,1.0066865060523853,0.9490432052359484,1.1646447468098216,1.412743162285278,1.140096164001827,1.197710867769099,0.8882725429495154,1.2389062373065434,0.831680325962428,0.760528775314885,0.7284947318987387,0.7533463582216721,0.7009143716999726,0.7727935312711847,1.2527081532028506,0.7291785811517526,0.7442166512287776,0.6707433420145663,0.7283329925536223,0.689759322858639,0.6959482366736625,0.6922135527318236,0.760778622227081,0.8744149953203912,0.7534016788843536,0.6809096775814654,0.6567888826619291,0.6854056929148891,0.6292553097611728,0.6062467129942387,0.5676554863290727,0.8660709818369774,0.5799260615147221,0.6363121557417816,0.564580019434341,0.5588824750726156,0.5345142838423521,0.5466392799582981,0.6669753258888428,0.5001507451391801,0.47985556230143406,0.7692622091918352,0.43898668829908366,0.4521092694660858,0.46265822821520153,0.4528431511827999,0.47139674497589473,0.5527960837439815,0.625683431131432,0.6637813670232027,0.7943874888952573,0.7869430945675026,0.7316866257149245,0.649474629871738,0.5813166095867804,0.4635123824913476,0.40971786867723126,0.43467839568901184,0.5825901420408465,0.46617310870095074,0.467794827381652,0.48153397439675516,0.4565145101506333,0.48229212316851483,0.48881690460850735,0.6103570147093496,0.5233970084205477,0.5298767027948204,0.7284700601564069,0.5169932493840391,0.5306281007272946,0.556444345253118,0.7509683761631507,0.8335104392090299,0.7299593373060657,0.6014033804145731,0.6222166369504466,0.6176480262694449,0.5351360794871506,0.5046695965737027,0.47158583773720814,0.4430400478979536,0.5015274458816503,0.6519359782112905,0.8889056271806014,1.8283794456635067,1.4189082294501194,0.7395849790605277,0.5249535945294614,0.5353135409163081,0.5315459548456221,0.52370430140228,0.5118897193633853,0.5572049198815411,0.5562068533067343,0.6055415600031786,0.5725472210519492,0.6634150015866618,0.599952308249781,0.7025987700018558,0.7004695000623526,0.7727225459025484,0.5879974788641881,0.5207225313013805,0.5062547751103035,0.5216490438361671,0.5293769349372627,0.5608893286079587,0.5672842762267537,0.8198198702635344,0.6016842879357064,0.6523524503452652,0.5689944411712252,0.5049338938497396,0.5133663125488346,0.5216273932645068,0.5780311100357528,0.6447493691720662,0.6470934359627589,0.8691200368444538,1.0540543732824894,1.837369680931727,2.4697353321837854,1.3799337119540402,0.8737165270861762,1.0615976578972317,0.7462029332707267,0.5642423454634486,0.703174964543824,0.4812663599441424,0.5086812278749755,0.6094660175024565,0.5574014953380162,0.6609953400456775,0.5556811924312873,0.5327567506278718,0.60518852779249,0.6339331156029527,0.6689283646130311,0.58736607451295,0.7263536117489836,0.6459554573502377,0.6722019470862961,0.707554849496486,0.7645761807582988,0.8551706714219801,0.8216459225571566,0.7898343690526376,0.9529363951793619,0.7906669427046903,0.6995139437839798,0.6818244029560585,0.7469456855557317,2.052913953434192,1.0196490902431048,1.3336013688393367,0.8355071069901734,0.890848741099736,0.94932762444489,0.9692545008960824,0.7772256984194629,0.6564536747389296,0.7731288535620906,0.6892999251623411,0.7060770366168772,0.56658841149899,0.9971938033335117,0.6231565762903435,0.7422535847077235,0.8802997347858288,0.5472455109367083,0.630028129109597,0.7649976902854874,0.8888437360787211,1.1151103330135343,1.25000086475363,1.3182593332144006,1.0199870896362997,1.0144971727162349,1.3016132202150668,1.0684052479656874,0.9160895095668021,1.1426221496810076,1.2057988443675138,0.9204783218619941,0.9794325686413895,1.1463651516613222,1.0477770213877489,0.8898994481113264,0.9432589055696623,0.8432168645009229,0.8513050739282357,0.84201345937733,0.8103637805895225,0.7586828284871453,0.6739162592810618,0.6837787414517635,0.6335218737966668,0.6594759825570407,0.6130208145983407,0.6237267762090799,0.7350088040630802,0.7777046145709033,0.6793632866714276,0.764778540770298,1.0432147128301217,1.0390644701241876,1.1262368526643303,1.3609358718155655,1.5643737575481438,1.116136053250181,1.0590673202968195,0.8096943821145699,0.8254831679473237,1.2392085639029968,1.182215078224718,1.3197839118911707,1.4689487901113003,0.9371286825225231,0.74630020017642,0.5161123524830071,0.5256573633217323,0.5812201851159776,0.5594749797567434,0.6832485376313058,1.4447706880478717,0.6045443116072995,0.7096675389329793,0.9540333433574104,0.7964312950843235,0.8713485796405371,1.3814663594338037,2.242620882850718,2.7816514031989414,3.692374106296316,5.105030617594357],[0.9195651258204321,0.5822974969757257,0.5072932306654183,0.5207174093141879,0.4944946344744055,0.45167949048869405,0.3688259648321771,0.4050720115386789,0.3668531933095026,0.3284572638806116,0.34361453227884475,0.4554557017376514,0.378913428824696,0.3847282278135224,0.5218430378532548,0.5142197232766262,0.5761744850147295,0.7387753159376516,0.9140073889617788,0.8638362847928422,0.9538169566749573,0.9888903612847484,1.0588153633176112,1.102023983934023,0.9684285191564022,0.9591142938275222,0.7983245683789725,0.6601144984115117,0.6504135863184417,0.549662438071397,0.6285251579448424,0.546936626248336,0.6479074835606834,0.644691168974812,0.5804011277672823,0.637826543741216,0.574216400475172,0.6827590180240894,0.7156921522222105,0.690070326059133,0.8406762047148673,0.8976453983040854,0.9321820111419371,0.8550312970855883,1.0057163558397504,1.1256604284814122,1.0725468215582705,0.9427448943391972,1.1975649297871185,1.3673808917383405,0.9225078686224968,1.1511624218532612,1.2953708816897236,1.0659783964556675,1.5148107536517275,1.0216965463123255,1.067903362882829,1.0583084888021546,0.952194795130824,1.4665158334763804,1.1156441639991437,0.9105158354560061,0.8623734501685393,1.215613719115337,1.0220202816082176,0.8593467112590402,1.096652368798217,0.9392931930683074,1.0663714187697595,0.9435142625741394,1.1709630469598435,1.380345654554881,1.1200038813400437,1.2789749333923068,0.8943670863769125,1.290994918009281,0.8508527128262829,0.7759182180926328,0.739473329148152,0.7368747827953954,0.6921236667182624,0.7835208590254855,1.2308978426054615,0.6731639403268331,0.7580416356273642,0.6450687364717544,0.7213828441907881,0.6674255276836217,0.6923007601449728,0.6849791116092862,0.7575805422767747,0.9036093676683042,0.7386759846872657,0.6562489278473331,0.6126837244997035,0.6708550789261153,0.5939461088604,0.5669225242713343,0.5284311798472487,0.8418449161920799,0.5430019071309576,0.6146687975436401,0.5171682528857104,0.49393492135546535,0.4735254965667301,0.48517076447417384,0.6104094790468648,0.43178093077890867,0.4348624216348795,0.7665717725897762,0.3707014213648406,0.3752415349470212,0.38693941912970314,0.38897544818908286,0.4025255231829218,0.4787002625307364,0.5626650841368092,0.6269131966614911,0.7919563989558119,0.7383657689862781,0.6893477831676444,0.5849211099778937,0.5529472278323114,0.40321438168275947,0.3444517705620342,0.39664595568765343,0.48710497378286943,0.3977894707424589,0.4012083704491378,0.4131302344922514,0.4025480425299468,0.4121625142908555,0.42999516937449017,0.5398774025707256,0.4800491787366887,0.5131110082650264,0.7128486677214113,0.4877794035558491,0.4870818865661524,0.5264213908528326,0.7767851944711561,0.8863600050247783,0.7259057383550692,0.5656156790510667,0.6057050496375952,0.5924899156906592,0.48133742300140553,0.4476192835315154,0.39954310026551254,0.37964793624454546,0.4501882207748505,0.6246984327050721,0.8682644778783397,1.9137194870290248,1.4373722170121748,0.7052747206497988,0.49085074632770004,0.4837602386483133,0.4618718166426326,0.4438608096146562,0.42656281693975173,0.5240138140339728,0.5154840143261661,0.5944266013146327,0.5546617948368736,0.6558780353549044,0.6202127856064773,0.7546144678082984,0.737822332019842,0.7780866854077905,0.5932101913216119,0.49139975836200184,0.47603307381618737,0.4703906396005165,0.479130740938938,0.5064664898105744,0.517870210622158,0.7429502397757706,0.5558438830602126,0.5917066566728286,0.5317983062113925,0.42983539497166445,0.45284470277452094,0.502951657645946,0.5416701751455861,0.6200315114252148,0.6281783282633614,0.8720867901718268,1.050436714152676,2.003092426909748,2.5682834533519934,1.2607143940250585,0.91582459815175,1.16488453087191,0.7764215057078697,0.5076066276844604,0.6048675764324327,0.45832688201943955,0.48640442466162126,0.5717837333344795,0.46002197751145374,0.5458639759836353,0.46199880136205546,0.4460036292875864,0.4877820256083667,0.5297589575420357,0.6167295902747878,0.505003305347288,0.6482626579110209,0.5673442520289618,0.6037776792324809,0.6364964142164753,0.7051438149838015,0.7787246711091865,0.7863522259113394,0.778075125012426,0.9229101978090699,0.8011085296979565,0.6407848490715727,0.6191904696639313,0.6657303830035178,1.927932981399846,0.9552673768053708,1.2797639440937798,0.7180406228296907,0.7358401651065478,0.8046828095235314,0.7914412232762523,0.6322303474377597,0.5102413561679555,0.6682212813514897,0.5968731505841577,0.6720341161026966,0.5065666547283029,0.944283058957285,0.6800240697344807,0.7774861997061173,0.9188094690414308,0.5263022820955588,0.5433826091543388,0.6300365897709417,0.771366218980782,0.9950605410601664,1.1368939322902927,1.2217311383954232,0.9062327341902873,0.9068562738818428,1.225223276027986,0.9891496687752352,0.8318724916663702,1.0822884587119008,1.1767572179849606,0.8760983570468476,0.9127306852574668,1.1060339203713396,1.0256944430392319,0.8279764187034993,0.8877205929068089,0.7633204626737138,0.7524625978543605,0.7332544366223037,0.6629081897079708,0.6502324290468238,0.5636488421864256,0.5530166039901563,0.5227674110533451,0.5785210005779501,0.525184863333995,0.5413569750709956,0.7432392966751882,0.7755379454042305,0.7180655284830015,0.8042284185034998,1.106507519117448,1.0883461562419097,1.1410406237846913,1.4122439427646571,1.5668798243410664,1.1588063709699357,1.0587557777775087,0.7735222580367508,0.7246914195942489,1.1711171465580497,1.1737696633594084,1.3787281760520733,1.542474662108668,0.9480295712893266,0.7061535907514195,0.4872585364799522,0.47807894512441085,0.504580413536844,0.47547632933808687,0.5886665145267287,1.4388921203878724,0.5141776114127488,0.6030344632707869,0.8074979363044118,0.7562771543877881,0.7850201580551226,1.1987968054070046,2.085174332316373,2.618186989581296,3.396327663253171,4.6772723413758905],[0.8956597729922632,0.5636243377794629,0.4956625618503969,0.5381365590837269,0.49783971481415434,0.4228537478713079,0.3663330432170707,0.3837081932047004,0.3590590601697052,0.3217710912615569,0.3323972022931739,0.41588769644717777,0.3640158542170427,0.37587665646898694,0.49223597657206464,0.4776050053207095,0.5690832308448732,0.6955297790306757,0.8587193508396694,0.8154731668579422,0.8936927669841492,0.9483794313834487,1.0053036088588132,1.056432457824563,0.9425961694032118,0.9291935532945288,0.7907075432193795,0.6556755892988221,0.6245376739487296,0.5359073588085835,0.5815050507350751,0.5086240833813028,0.5993910207876101,0.603534417503029,0.5415027168342282,0.5945965788691527,0.5443473043329075,0.6703415770577995,0.7099111157344113,0.6847630668181132,0.8433102455524627,0.8764132026222698,0.9054221923850106,0.8296971238333246,1.005527131887096,1.1532738373869649,1.104284748564892,0.9285779863924485,1.2107710103922074,1.396140638256476,0.9208647579491085,1.169138102970611,1.3171915943802974,1.0115253840933562,1.4588816568154335,1.0150213557028553,1.0252575235935044,1.0466607343703014,0.9234606633634157,1.5192917731737163,1.0868248448842277,0.834443258904673,0.7810371447907383,1.1396972072262368,0.9667570501573781,0.7986678435050881,1.0210627363984932,0.8555099192812,0.9848575754794596,0.8566430432332168,1.0659141163098684,1.238125857916884,1.0070908323148604,1.1741414344434302,0.8041880546692064,1.2377314047401435,0.7602418329950216,0.6985441020913854,0.6746116561413328,0.6835899228132886,0.6530351847739037,0.7617098600768845,1.1987116987406075,0.6565433964929853,0.7685900404841176,0.6336231168945238,0.6838927861508618,0.6466703466303266,0.6487317906116803,0.6406984918367153,0.6854359781436803,0.876577432460259,0.7012863873535441,0.6162639814136945,0.5767333305465673,0.6508078791252889,0.6044102118570831,0.5299554882179655,0.4982469295660151,0.7768446571544552,0.5032364569213432,0.5948802207918937,0.4881001656598562,0.46853341577443164,0.4555417980140382,0.4624918836886662,0.5625268043694007,0.43659762764669013,0.42051276147938665,0.7478938294616527,0.3636978604464835,0.36955537971277536,0.3809936784349466,0.39250388344866705,0.4068404130396001,0.48466292429186175,0.5663754598443754,0.6427862528091769,0.8220885949385468,0.7360453436883164,0.7061264597727862,0.5897671783174431,0.5619065390584592,0.4069897516178873,0.3352808635489564,0.3952776306692876,0.4650376442396713,0.4041149475906543,0.3986423579019562,0.4291922533242716,0.4173501498069151,0.4216188530342384,0.45827607663757297,0.5497036322894735,0.49910066568453515,0.5370106284122129,0.712997228360703,0.4959819284874164,0.4976698374404783,0.5527856820487441,0.8024581547137916,0.8993787644234971,0.7421653102676778,0.5885765054566763,0.6204834246484544,0.6039857092320103,0.4994970310325084,0.4527578713098889,0.3989448772014766,0.37522968323252315,0.4469432185693932,0.6250877507649464,0.8159949786901818,1.8474452957126193,1.4275312572840693,0.6774026750716163,0.47464232395555844,0.468059740815944,0.435505100359033,0.4260426275638017,0.4463815627196664,0.5395712715412637,0.5371114922440253,0.6119959814303043,0.5849253941453808,0.6890814819024952,0.6546949485101313,0.7886208560620369,0.7632825889664553,0.793178800411807,0.6148394228116985,0.5133146894602473,0.49549925116211274,0.48282428401467087,0.48251169553186196,0.4929742364857687,0.5077372158507506,0.6988419171834874,0.5511718863206995,0.58122608030574,0.5303703444081811,0.43395563070370613,0.47054398379226525,0.5416936447188686,0.5583200694779566,0.6416395800157506,0.6506054257003225,0.8862290456224571,1.0758862606993047,2.0773814418751244,2.605062366797148,1.2552564644774193,0.959012251381584,1.2257897156987405,0.8081549056586455,0.5355571860311352,0.6025159446409376,0.4809823073569036,0.49773695687141306,0.5891388123146597,0.4458288244652727,0.5283246871183329,0.4550653914946669,0.4355719993915623,0.4630439813181616,0.5209061256972821,0.6054699157807307,0.492936643327916,0.6403436337006875,0.5785622551610736,0.5972197150665602,0.6417533570581503,0.727711352142819,0.7944379142788744,0.7962815852649368,0.785327316545287,0.9139983487551325,0.7700769246710226,0.6135457609307727,0.6070177678417075,0.6461669050018869,1.8532833715888304,0.9403425601942828,1.226148190116694,0.6861576670303164,0.6871692279963044,0.7469048906528862,0.7350614291315497,0.6031204683646757,0.49844820484797286,0.6296568429868726,0.6032776392764587,0.6992516337030605,0.514527450029971,0.9262414497104577,0.7350598694701846,0.7968440714390529,0.9488418597861239,0.5335964926014163,0.5399098194302067,0.5960021223688303,0.731853919545211,0.939615986501994,1.0689046384173035,1.1621849392786394,0.8622907862896957,0.8602855519909363,1.1634490633300754,0.9471917644451825,0.7936079870860231,1.0442443410881677,1.1558534150547455,0.8751644866216294,0.8929821924474703,1.0882692148335136,1.0557615987178335,0.8221002328108433,0.8661827634443193,0.7381072596098373,0.7084035979371621,0.6931304868890447,0.6195710020757799,0.6147429451268248,0.5452493204011107,0.5245803049702218,0.5057277529740842,0.565238867547151,0.5154928302540422,0.546474774770316,0.7456006278917641,0.7650490387924592,0.7330601994367206,0.823193099411311,1.1084624014625835,1.078945421771147,1.1209598047817915,1.4139880409988703,1.5479222568928532,1.0977769500621677,0.9932350311319876,0.7395890238960043,0.6688835423462476,1.0700532289568347,1.0830709185467384,1.312240877714236,1.5030886724052908,0.9367262648374889,0.6760383124686647,0.4835147301180219,0.4789152746062529,0.5300650343535541,0.4598150764336412,0.5649121966854833,1.3888873952971608,0.5114648478152025,0.6207404703717676,0.7737520727618308,0.756298563597862,0.7964508777420014,1.1194002745346205,2.0319625813880875,2.6427338251494628,3.30686386110544,4.592329619659232],[0.8828649495366826,0.6055575262193484,0.5944889613579235,0.6556886302558106,0.6277978904899858,0.48446391392935156,0.4800176439499528,0.47538575421441587,0.46058746329891503,0.5121270159714149,0.5534662409307688,0.6151331089250107,0.6344260680555118,0.6336939045569177,0.7463680612208511,0.7548685028432186,0.8564819073041926,0.9707431403853852,1.1099578099834448,1.0900894464566844,1.156139290778877,1.194384812027058,1.2587703435815876,1.311444434492361,1.2199717755261732,1.1914762879727774,1.088680011993449,0.9364104334357085,0.9069263578957143,0.8260941176445403,0.8604129767736538,0.7947388851590581,0.8122610590512956,0.8708540720226586,0.849453221683951,0.9113762459592016,0.8625991004549569,0.9776694909995636,1.0323590222259609,1.024319874153344,1.1595414285663728,1.15808174622345,1.1801729983235856,1.1074824767199536,1.276178491903191,1.391785603933252,1.3794877164742787,1.2060854749003196,1.4116511327303463,1.5343540164216452,1.1902221464182965,1.3413452983446337,1.6659921474093793,1.1806988983005835,1.5651217535254274,1.2825936196797363,1.2118303715032213,1.3602045714917161,1.2529413279198878,1.8029426510320214,1.363122338041588,1.1285615208176882,1.0588908836543738,1.3712472527277804,1.264506826369423,1.10221243477351,1.2451103118837323,1.094351054267641,1.1836362992004097,1.089013732760569,1.19290993060524,1.2925872755500722,1.1691749096064843,1.397637253156017,1.0544439175689602,1.4072836754800915,1.048695441314909,1.0010013240984919,0.9862308361406611,0.9897785742299263,0.9599959513365269,1.0570420847998911,1.2481159033815679,0.9455448232228078,1.0647148913547635,0.9404938503668179,0.9941741741699925,0.9412328995804873,0.975756675323615,0.9274878615611349,0.9831888818017303,1.1097659848827246,0.9765456931940295,0.8896739277263723,0.8438570451780382,0.9140656584421616,0.8634954526849001,0.772105176378935,0.6957742720953408,0.867147279045007,0.7226323444489232,0.7075763174112403,0.7360371733898458,0.6447988900678489,0.6799286655096838,0.6313456570922552,0.6671745979064554,0.6364496091369097,0.5615512280236444,0.8152848462201561,0.515526697086374,0.5764643956785439,0.5541503186118156,0.6056302089891709,0.6467782082816046,0.7296220625983847,0.8453446837802214,0.9096770782425334,1.0866105408207634,1.0070597893256334,0.9474055409823854,0.8166939108952258,0.7697779881019888,0.6179951681895071,0.5251712524639875,0.5982262795149679,0.5661987355066062,0.5978318647358903,0.6099155190614648,0.665810398161194,0.6462610381667385,0.6432429220297922,0.7329488402626493,0.7831515696069232,0.7492775354526249,0.7658340130529083,0.8747495059748345,0.7262416960275421,0.7279833757045104,0.8414931480235863,1.063762774822814,1.1783796306624448,1.001377986063289,0.8849061341917249,0.9249665773479288,0.8586456191346544,0.7811097839303447,0.711394659609462,0.6355489886952772,0.5571171362936297,0.5520369850743423,0.6809596560818387,0.8143340043058587,1.8027390590871948,1.4692394677553606,0.7646095335365687,0.6384980980068039,0.6149695539569587,0.6704112169795637,0.6283270675043378,0.7169080463544727,0.8236416436269298,0.81743061321471,0.9205017012566116,0.8677019078058918,0.964814004762014,0.9438735796497822,1.072310221832482,1.0107300087267854,1.0127468741314585,0.873678844956063,0.8002525880623486,0.7999002602959396,0.7856273832078574,0.7851377475464137,0.7570170783825347,0.7957727759864088,0.947850170093538,0.8606666598622355,0.853248073323149,0.8458998082477641,0.7038171373521233,0.7546397049472646,0.8407423384029981,0.8524915029274321,0.938803544626871,0.9609045075937256,1.2253390644679405,1.2997407682506463,2.3184716658816447,2.746151305109506,1.4880793735805729,1.2333250170079508,1.4408891266438628,1.0375424820859147,0.7916898511017131,0.7683761570522976,0.7221878397668094,0.6777018674622919,0.7302737639086152,0.5870226310545036,0.6251574122421181,0.5873167139322045,0.5625827472652939,0.5467957833312115,0.6081967753047663,0.6479537153531316,0.5528545598267556,0.6862314080426738,0.6604291644743887,0.6606866670063846,0.7092756389690157,0.8058913651693808,0.843913145945986,0.8613483919040589,0.8691034445420025,0.9469374016121975,0.7949164934103521,0.6336776230813813,0.6512160579585136,0.7027728908851333,1.76884709767529,0.9855637165156619,1.2084661691219656,0.7350048890088412,0.7390709740419176,0.7744418680883541,0.7609428554548426,0.6899902869649223,0.6137604863474329,0.6927676571554072,0.7412801051139586,0.8200288915887805,0.6684070082300136,1.0463580633405283,0.9353737619005873,0.9267850899144081,1.1178694865860892,0.6768493460631517,0.6866127627003634,0.6878041522461577,0.7729004390163305,0.9578268823754925,1.030618043391157,1.1600026108247354,0.8760189642898911,0.8566607080374481,1.1332959540078074,0.9458204558878782,0.8163093910591964,1.0441695335856458,1.1622720178850277,0.9145316301483628,0.9147233145163822,1.1023043443871832,1.1153231016975897,0.8635938548278408,0.8893213185655673,0.7582023202737569,0.717744837920388,0.712686583690588,0.6421682715057621,0.6440275222552975,0.5910523890349854,0.5978530981033139,0.5793963063339381,0.6259253773249746,0.6188846534192239,0.6643149640163236,0.842044546430682,0.8372202237727353,0.8435046716374661,0.932459303917942,1.1730150117870275,1.1361300425233871,1.1311795419939088,1.465865498098574,1.530475628647903,1.0917085971404432,0.9567461260146347,0.7485851830919071,0.6824762934320899,1.0055645024723696,1.0055734203335198,1.2572387383058101,1.5028976630112156,1.0173567820127765,0.7587365601900355,0.6284798947420887,0.6397201663374035,0.6731089867229584,0.5505450084678475,0.617087163866682,1.3599221584585963,0.6008349455591387,0.705230876592656,0.7890492923933005,0.8376444219650402,0.8390046889311185,1.053733718443362,1.966199854402628,2.623832424284847,3.2076994398882928,4.47622537706099],[0.9510905692116721,0.6072854118473289,0.45683360677598617,0.5160865464962707,0.503699067069807,0.41133506671673875,0.33600516716752654,0.3479485698390962,0.33135113749808165,0.29233682973138947,0.29683261668704813,0.39215118300294205,0.33875129519196695,0.36295861766823095,0.47398124149270354,0.4536504105153029,0.5727655951135675,0.7022370730295023,0.8885777594330875,0.8408619865436533,0.9360305933177586,0.997193342103011,1.082225495638415,1.1344303051787679,1.0039951322457044,0.972000800341295,0.8341112403105433,0.6746340742438522,0.6234407289824169,0.5152668267691759,0.5747680158140381,0.47906941662027436,0.5808876713189767,0.5803139086082316,0.5281959918886728,0.5964111045598455,0.5278483580331297,0.6850942910593454,0.7306055839871672,0.7127664638186655,0.8925301526689317,0.9259280683646527,0.9507564893724249,0.8660106490882838,1.0868347410537806,1.236820671867239,1.2220680890148252,0.9700299519472179,1.2350671781366651,1.4328939454609515,0.9494774460606888,1.169196676557252,1.3560977816586686,0.9787120665243382,1.4534606517904929,1.0356900669318292,1.016642597632088,1.0724615325088895,0.9565563843518182,1.575893167752566,1.1261837862312374,0.8723222136799194,0.8110849043796344,1.1856639807099874,1.0391852386457605,0.8397337219592336,1.0742510403620096,0.869928659794999,1.0096317334925857,0.8620148351704802,1.0529063406741594,1.2345569781863703,1.011162393640001,1.2317455098920935,0.8259026049355804,1.2799537846607567,0.7943065471899544,0.7218224692018274,0.6859851837421057,0.6987448457358117,0.6542359109381692,0.7563836876941881,1.1682614681084642,0.6173745680812983,0.7824451599647017,0.6302453359093738,0.6934003021435649,0.6441660157889268,0.6601182521655627,0.6260948188280384,0.6929319391949765,0.8956324446749888,0.7126258179446013,0.6114438316906929,0.5572047871108597,0.6429742893649797,0.5895530645052139,0.5086595561746875,0.4802084290651993,0.7702410856019395,0.47660946393435794,0.5772306364661934,0.44416739071010386,0.45177721212184624,0.4331047836264495,0.4570694592857516,0.5732976682046276,0.4297961916939143,0.4097027913765046,0.7432290546057873,0.3530438499313737,0.3573901423552897,0.35040397557244396,0.3838302157707974,0.40217849160333896,0.5057891324695866,0.5876922431833229,0.6944496720262651,0.8988643505313629,0.7693846963138177,0.73886256551341,0.5998721786745628,0.5734529970665185,0.4184612397436694,0.34213261740800427,0.41446618699476245,0.41447139561501795,0.39547004166093586,0.38627208668431307,0.449774800051837,0.44939853352638093,0.44244567837392135,0.48651111192485086,0.536967598192337,0.5249773818255341,0.5756877591291706,0.7671385288046747,0.5282493183392301,0.5189142406098236,0.5935324168882941,0.8788805862158227,0.9789339369192745,0.7909630987730436,0.6405836335410626,0.6622318429358147,0.6161542894160434,0.5192288681030942,0.46653656838338486,0.37527391200629184,0.36011628862199774,0.4322004027097671,0.5930467055460079,0.8337406181243645,1.9079032281043375,1.4173260869453055,0.6635404611640257,0.43992097550408565,0.4460733414862195,0.4006773285536722,0.3892675969140731,0.4384303228758609,0.5491881209396439,0.5606726454797872,0.637468530260516,0.618796292699291,0.7268002940412411,0.7117183450243684,0.8767808734769927,0.8497232170555332,0.8539154891355579,0.6641326165952948,0.5635416911881935,0.5292987245787589,0.5049480493862929,0.478615193612692,0.4678010554359557,0.49183098737903913,0.6737878353272936,0.5367567593047189,0.5539287695393149,0.5433385212214186,0.42157012145118805,0.4700138215256998,0.5535775870622404,0.5719330157905196,0.6461008083153794,0.6791142214948552,0.9184311739050222,1.1455466308821294,2.1905397488860348,2.6573077603186683,1.2173313064122,1.0322284795953878,1.3004262774876219,0.8337751520928431,0.5896675034518678,0.6427319630219226,0.5422712587753941,0.5396537822147093,0.6339011354585096,0.4593649458212332,0.550205356336469,0.48029005125170654,0.4508651639587885,0.4907767777339972,0.5765305694569933,0.5955607300595958,0.4996883904549661,0.7097016011978257,0.6354089244597679,0.6295371579886947,0.716722167028481,0.8433304773801007,0.8168278397105007,0.8500994056708432,0.8188399549908273,0.9288636605892036,0.7889639803567001,0.6145951425277006,0.62916373920179,0.667623821931043,1.7608779277281608,0.9184175039251482,1.264492180680332,0.7271857634155872,0.6999496646814238,0.7808788748361224,0.7301889482627338,0.6265057493785362,0.5110382840967527,0.6686746017794635,0.6214485131824247,0.7427568552486157,0.5551837557362869,0.9314878413776784,0.8220882153964171,0.8467283181718721,1.0086244319866653,0.5634252419056187,0.569545352563817,0.6128083692543526,0.7423395891267852,0.9601458182298565,1.080708396561792,1.2023660633704094,0.9076317278406871,0.9219054283109097,1.2227770463515644,1.0287670685449142,0.8653364443789369,1.1575696865610279,1.2958772965021446,1.0046781755063128,1.010326621025622,1.249038543561931,1.2286098381688493,0.9454787519930604,1.001959003641331,0.8177685444892195,0.7825077759978636,0.7457364672593267,0.6408845231730728,0.6679884067179735,0.5712366268840157,0.5443307820197105,0.5251681634521437,0.5763139502026837,0.5342598791080728,0.5737581700893292,0.7921868732111514,0.7896131720522842,0.7984583838182869,0.8931167616445987,1.199996043024783,1.1657701154364548,1.1767972643747397,1.4724858026915149,1.567006119933099,1.1620049239851418,1.013860028474093,0.7285017026348344,0.6323815443779415,1.0418072158902063,1.130162721394896,1.4130407223262698,1.6214531048469536,1.0076938168338057,0.7016583462847286,0.5221583481781992,0.5028218663542507,0.5732446245909409,0.47905610453790304,0.6101999977149961,1.398920128465429,0.5404054794936127,0.6802967166539347,0.76617327751189,0.8374205311868892,0.804815597134362,1.026949658997024,1.9079571132922772,2.4537372953712806,3.0497364918101635,4.093512521968373],[0.9421837041434352,0.6684517175523451,0.5931804842906103,0.6407444568461051,0.5892245874228941,0.4744636260718862,0.4434029510400906,0.4383620950370443,0.46682244973284,0.4506711826659133,0.4343826761387099,0.4662200162387545,0.4968619499203795,0.5149605710895806,0.5875440387366335,0.5602280177842155,0.6874819666300771,0.7744007179400071,0.941485222634731,0.9184255858037954,0.9909356670846716,1.0656615065788604,1.1561302885916052,1.1781241251784598,1.0909925775086466,1.0425436690637286,0.9560668233039352,0.7861611801279401,0.7270628513968772,0.6454702570578438,0.6677162625290035,0.5941724142358905,0.6261838889487477,0.6495525087825574,0.6290636798801724,0.7029818291353898,0.659839866424152,0.8140457476779339,0.8618674397821643,0.8758705891948252,1.0399873112196332,1.0298704123357416,1.0468557564520684,0.9957665792833312,1.2302711579541907,1.3941733931271079,1.4016280066421607,1.089471177070157,1.3172251824215366,1.5251245393203015,1.097086812671996,1.2730099331662303,1.5023058349509708,1.0592871142161602,1.4855897544372956,1.1786007101419107,1.0989809402798059,1.2314558514399538,1.0850067625193165,1.7463319482458937,1.2179793436436577,0.9755456542005088,0.8826285439344835,1.2060410883745132,1.119390048784249,0.9258970714058999,1.0915289932593297,0.9009962225660859,1.028977822237224,0.9085792617802243,1.0288383056245292,1.224775013245129,1.0291738889181337,1.2419179241251899,0.8698663210696429,1.2902077520733815,0.8587228068760091,0.793465153067097,0.7723880799500269,0.80251117707112,0.7742375496814168,0.8995890244516671,1.1407272546743696,0.7570454670948839,0.920323768982838,0.7559123129448667,0.8090714112919086,0.7707206475435429,0.7690597722923579,0.7147423327969556,0.7756866445907209,0.9775019862881495,0.7932860310804888,0.6618594164744317,0.6338963920330832,0.7022253197978499,0.6896586580370093,0.5677158988276526,0.5345937057804878,0.7270205815775749,0.5425851343035939,0.6149067467451187,0.571329626252841,0.5368571629055293,0.5698234510701754,0.5838725172881873,0.657040444866638,0.6107330443607665,0.5711600575681847,0.8594317585699554,0.5025465555146662,0.50127570824898,0.4905290770283243,0.5442735017883193,0.5710848482481898,0.6483487421758537,0.7087323858269442,0.8197280262301673,0.9560861175425436,0.8294782730593045,0.8243665413783147,0.6943384879528386,0.7115411003795578,0.5743064688993768,0.5124947925270694,0.5933802384675235,0.5118471547338443,0.5548714711345358,0.5576925668499914,0.605840023121452,0.6323747786939199,0.6079391991247285,0.687168554138381,0.672105245308158,0.7115702862685661,0.7547716028245562,0.8863808642132726,0.719508220771787,0.7163299924604324,0.7777695775375506,1.0351885372292369,1.1222047107500197,0.9101704626898098,0.7921158630560875,0.8102873562881603,0.7571092900795533,0.6838820066169653,0.6188299211925473,0.5328611771368598,0.5208611779177749,0.5425226207473859,0.6506891269294014,0.8111052515758321,1.7952850768254336,1.363614264404593,0.6646048645818815,0.5273174164400818,0.5322536075925192,0.523934516944838,0.5433532680719747,0.6094593820770328,0.7025737711880526,0.7280336594921161,0.8129383737316962,0.7998644444930886,0.8997125263831918,0.9048034966217089,1.0935666881853152,1.0565307553764534,1.0330988749507213,0.847053739760155,0.7483911630767837,0.7203353025798613,0.6908136669357279,0.6638529704481796,0.6112453886165193,0.631311299162464,0.7519546396714615,0.7038023205272774,0.7120179647304705,0.7306779385368456,0.6116567996060337,0.6811129154527382,0.7735941952793997,0.7771419728230072,0.8292242313060167,0.8455785061996177,1.0855558559057377,1.3164950943131115,2.40202038701455,2.773670414290285,1.3340087329394639,1.2371577964654092,1.4730411672209813,0.9941668449836412,0.8114236404988829,0.8039534506035865,0.7487022382661129,0.6961097281661538,0.7297025195027911,0.5803573476834688,0.6208252402784359,0.5854596792881703,0.5683916907916007,0.5830661161575975,0.6902206115522838,0.64312451895649,0.5982390517478516,0.8045358399585593,0.7868824643703892,0.7644948189714332,0.8789024826886884,1.0307364794003802,0.989396593327565,1.048802080706674,0.9973259911895366,1.0238175076540983,0.8664281553079056,0.6802947276713315,0.7247632661427279,0.7638711053391279,1.6570514244974928,1.0362154395173115,1.2230980226613288,0.7679273007124765,0.747195185737931,0.8039086483970148,0.7569984666700184,0.7584317080934131,0.6414044699372751,0.7466112941989091,0.7759748519934796,0.8791648287005338,0.7103714852943606,1.0369337880822846,1.050062519673295,1.0190602027340696,1.1926570943653418,0.7152252355668925,0.7224610420943876,0.6939527866201307,0.7626818618425568,0.9373920050825107,1.0070588861842338,1.1418487823125274,0.8941357710618203,0.8962198430840045,1.1509099614580178,1.0047066466069294,0.891554253031697,1.16844900601973,1.3242949757742568,1.0847164264621247,1.0655298406376368,1.2941111819883937,1.337485128233194,1.0458397894738212,1.0665235449939805,0.8843316936702239,0.811475788061346,0.7826758705706338,0.6681682846733163,0.7212915440403032,0.6408191706836504,0.594370672642677,0.6220940609104518,0.6707767827011842,0.6298421152827455,0.6936164076091509,0.9234427496372201,0.8663932102706432,0.917366205252403,1.0123903675124617,1.2615081272813127,1.2108838697987478,1.1849702813665488,1.5087254841992237,1.5351368520466098,1.1684308826630845,0.9930309290911056,0.7734689138534778,0.7146659527493837,0.9617536121965408,1.0292782405652297,1.35020699722611,1.6052538490881887,1.0441114496291855,0.7521637868184387,0.6557047357202853,0.6278426056855333,0.7403417674424291,0.5964399611531933,0.6953129803948676,1.4062504703263456,0.6606738824959879,0.8215103049395499,0.7983152281171684,0.9410310226161839,0.8743434075560763,0.9865982654578535,1.7116207416930496,2.3307250295314788,2.7687842866553005,3.7212024824981516],[0.9786309991598221,0.6395839467922704,0.4859300336837777,0.48806835447566793,0.4872590653724797,0.4274406531155933,0.3349762652918668,0.36881320632154607,0.3656372960298918,0.3012237727087119,0.33625181812044164,0.4289670515867228,0.3273969020268951,0.3667907273707597,0.48569589959953274,0.438299279341609,0.5275737654052982,0.6441360193803867,0.8225588248860385,0.7735247779329468,0.8733098963206716,0.9457962555104708,1.0385195941622467,1.06771874752484,0.9450351317694181,0.9020232750430723,0.7792418992959458,0.6215018653000645,0.5696775827694478,0.48050143269414497,0.552118566387889,0.4636486562151627,0.5469408328831121,0.5634413274099529,0.49712021641213694,0.5588935028089252,0.494132463181606,0.6314618826454212,0.6746638615852378,0.6666743938493569,0.8491622477171693,0.8657273326323528,0.8834988861354898,0.8161301399531776,1.084220534517011,1.2721480833320105,1.2459425597067002,0.916331033349095,1.193986341482658,1.451546706954448,0.9304526299058397,1.1265028609395427,1.252476393031787,0.9212557980285606,1.430291836402747,1.010002598851263,0.9699608780304605,1.060119637113932,0.9227105918690751,1.597040398366879,1.0661220714403143,0.8268431383745498,0.7628662660590955,1.1178137360934837,0.9852504009871761,0.7829452335526516,1.0104109778836885,0.8101735119577392,0.9529405009241698,0.8287240194564596,0.9977351297797821,1.206272438832469,0.9871135050218025,1.19529633605277,0.7910620011672933,1.2444919180132743,0.7535264086880584,0.6852368809281688,0.6391551970354069,0.6540366074247146,0.6141919289541504,0.7101143260296607,1.1469945061561844,0.5643382408267806,0.7237066740276716,0.5699355961697228,0.6327135594494683,0.6109170694356322,0.6134417628784417,0.5961435116444652,0.6579815088058809,0.8791349824112776,0.7044182720470796,0.5988131204876066,0.557852020661686,0.6444254777160144,0.6130162588648226,0.518404928668288,0.49799893981811383,0.7769302108345971,0.4728245012578037,0.6093419482167481,0.41900766314590804,0.44147946960023654,0.43064259960172335,0.4743115466831861,0.6309885162295368,0.4474628538262032,0.454954171114068,0.7700068571058746,0.39901816648143124,0.3439344287869826,0.33070566951511093,0.39115430034640525,0.3846350230548336,0.48350002232413414,0.5498287898361073,0.6627563029853417,0.864860187275611,0.704332027338737,0.6992010017037344,0.5705324431042623,0.5622863942570872,0.415488242510722,0.3678660022897346,0.424041784094522,0.3658728360290989,0.373070737749432,0.3701705920104253,0.4284360087365598,0.48553932421838714,0.4828550076380768,0.4743738165406133,0.4879873928963245,0.5068928405447469,0.5687560243726295,0.7425105999892674,0.538170560734855,0.5355103080336132,0.5806168063459348,0.8650827115610268,0.9414391320632366,0.7600857633872358,0.6079616118265901,0.6229196088574429,0.5732556080642991,0.4889872543241294,0.4188248639541428,0.3397572743979778,0.3906022151589102,0.48097970744879515,0.6325700202579823,0.9031851907059483,1.944733841068387,1.402939602599178,0.6864173987103643,0.44365463898658314,0.45890247846750803,0.3828359214680241,0.3800035558691931,0.39438271951152887,0.489418153421895,0.517829955740811,0.5967725288967127,0.6045845069599614,0.7303863913640438,0.7252201852440411,0.9508272403957113,0.9346094756654574,0.9119961256090278,0.6881115378136136,0.5613654587533832,0.5138003729960695,0.44909895746414136,0.42203523273417504,0.417491444130989,0.44613668231904435,0.6055698240174912,0.478048558315014,0.4802076423804968,0.47368306581366526,0.37218318339293743,0.4438918024411831,0.541732474237606,0.5564558024910345,0.6031410065146109,0.630629827926374,0.8453837200258086,1.1737540914526858,2.2536765943868433,2.663495921437152,1.202077342071737,1.042535764474246,1.3104632484515748,0.8163938377902931,0.6244502985079987,0.6433758970051479,0.6233099745273709,0.5973395218534959,0.6837727652899869,0.49171370537960274,0.5671271515884714,0.5134437477496918,0.4934184677193653,0.5270539609392445,0.6316063720962067,0.5520891808820155,0.5360805026958474,0.7970690653483989,0.7253501855789934,0.7013127092036013,0.8470877890785498,1.0117769024114514,0.9001027358260397,0.9665583322208624,0.8773557214563917,1.0095566124004935,0.8432863872269768,0.670007515820787,0.7008825253041013,0.7283667393545482,1.6656413698861436,0.9505384221125739,1.2755431339089958,0.7352137487432264,0.6788745353967052,0.7682453884273095,0.7021849325394831,0.6728935440594151,0.564559323655406,0.7069870359020377,0.7201564150682482,0.8573966648782557,0.652519241183519,0.9367686774062302,0.9476208419435674,0.9533824741317546,1.0731619956376828,0.6400766961840292,0.5904117323745288,0.5791728829430073,0.7232789709451589,0.9256053021444594,1.0764385962514333,1.1800271452755118,0.9086927350487836,0.9575194442987733,1.2277603751907702,1.0688529477900386,0.9198542476616232,1.239246790479005,1.4032265881960737,1.1184658078222836,1.1190637025214794,1.3904878818571826,1.400058162402157,1.0752052388169007,1.125702286274247,0.9109310004664919,0.8577202437304352,0.8128421910977502,0.6852533149223993,0.7343137227032246,0.6172991088835101,0.5744231164845544,0.5863751005733795,0.6391226927281857,0.5903469945666213,0.6519971555185653,0.8904234313339394,0.8595995720834737,0.8912710338984976,0.9878354476049835,1.2954744194109153,1.2534965229031967,1.2433519566271671,1.5517447806190008,1.600428740741398,1.254070747243707,1.0697034738519395,0.7605044660804099,0.6468643481604252,1.052282645398509,1.214972379766892,1.5457892410227099,1.7630018948024115,1.0740672101217348,0.7423944030136258,0.5811379522363643,0.5137285324758786,0.5982256806339641,0.5192395672104066,0.66336829231746,1.43396119262243,0.5708812993020472,0.7406457389108989,0.781769957592347,0.9329792552620775,0.7965370768913991,0.9670908256945387,1.708441620563586,2.198219712406665,2.7179502000320874,3.501645001072514],[0.9455870620924101,0.7323859303227784,0.5691116243315124,0.5806593147793248,0.5367219406186473,0.4583590289885838,0.3708899610232783,0.39055468824476464,0.43174285608180446,0.36639191609947463,0.36825217764531143,0.39898123814706915,0.3839647796442092,0.40579516642313723,0.478550755303789,0.43894036158602695,0.5510966602633901,0.6062670389450429,0.7486601939644001,0.7332007805646145,0.7897796439158895,0.8826814255119365,0.9801156943425668,1.011815667622269,0.896103708861631,0.8400637283366287,0.7717624654209592,0.6238791550841389,0.5657920985486968,0.504302682842535,0.5293095917472042,0.4655716148980151,0.5171261576400439,0.5331423368624372,0.4760862241505991,0.5303376959243513,0.4842478956047678,0.6181042457668665,0.6871203096270582,0.6962544780897255,0.8753850907016784,0.837690464174121,0.8416779044661205,0.8393239866350263,1.1561888260309836,1.36842661441553,1.3733080058850782,0.9521842480749473,1.1877508197371698,1.473766057227674,0.9885525764420003,1.1910623856023022,1.2828425450871037,0.9254909747831568,1.3840979938595024,1.0413927899259001,0.9475330873326154,1.1430213708003327,0.9532881810343877,1.64945270320579,1.0684290969437185,0.8014563155631561,0.7129761181069469,1.0586514995978262,0.9362882508597751,0.7378852755715833,0.9477699179740317,0.7471613506069024,0.8786015099629945,0.7841870864929105,0.9014351129682739,1.1391535057684528,0.9297577305587288,1.118369785896404,0.7304167872369124,1.1876412027317023,0.6994677101219614,0.6415670649003787,0.6030283558520918,0.6414593634632819,0.5966889184136763,0.7018933483059526,1.087382179801927,0.5835702616337309,0.7617423681246179,0.5822583720516329,0.6084988506903657,0.6231634249959638,0.5916451518428043,0.5886116795915803,0.6360082340225285,0.85941995721361,0.6753192941087741,0.5606146371815532,0.5328880110824317,0.6279756943517273,0.6412735461212694,0.5067371517534704,0.47324808923531003,0.6680730337424596,0.4652123605419999,0.592172855574174,0.4664562060499899,0.46606849728227456,0.4947251900422467,0.5270982006330419,0.636109779052157,0.549293196459326,0.5178755620547772,0.8029628161898791,0.45667107744326124,0.4419023223801664,0.406568083958435,0.46903246712568336,0.4443950163193108,0.5228062839239467,0.559043858107948,0.6763457145063375,0.8592995224095242,0.6795218219992453,0.6970645172801813,0.5752852332236804,0.5726647650990061,0.46808020799705863,0.4307798993041399,0.5220912770812154,0.4370157076235836,0.4761738367453091,0.4897045474581527,0.5273375139577097,0.6189414105449219,0.6022048083147673,0.6277571019923036,0.5710902204691665,0.6330420421393216,0.6870431916046643,0.8140310480037598,0.6663135043387173,0.6165695610713334,0.6573528938955121,0.8825818321142767,0.9567534454917341,0.7649557063816639,0.635813578786198,0.6484286293930859,0.6152611581367687,0.5533093242377438,0.5249971220909634,0.42479671418234777,0.42989171441728874,0.46318615864126084,0.5615810873103654,0.7894695851455297,1.7402843252945066,1.2569948021244057,0.5812166529702611,0.4112922146048849,0.4410832164733555,0.4118915436589936,0.46205526877696884,0.5078306634733082,0.5834201963259295,0.6075808492528899,0.6744884511044227,0.7061843874351736,0.7816196435574113,0.8185785528043856,1.0599316667563197,1.0379658581821989,0.986860181134614,0.7745950958493646,0.6663293123764402,0.6227224346708629,0.5651968828948094,0.5095719779507386,0.4801421089148823,0.5071139756894087,0.610678758404969,0.5314650568052703,0.559424400494484,0.5596407749764706,0.4937250721764444,0.5869676326536397,0.6571583948545521,0.6688678903577184,0.7020751977092564,0.7139308025594663,0.9446918884835669,1.2587088070429007,2.330425665664354,2.648256772455477,1.227203822821928,1.1546955302083508,1.4384123328793552,0.92789197760282,0.7847323726238458,0.7722324179089458,0.7657789334181898,0.7140475359543985,0.7831435368408247,0.5738885715653819,0.6057157087833323,0.5869134999499014,0.5617548581935836,0.5685409209596549,0.6960661840638603,0.6083003247981004,0.5917010448768867,0.8431207994351206,0.8365132628908664,0.7974807472665498,0.9413953935561189,1.1361685771952195,1.0293500390825063,1.115547833407764,1.036833819945981,1.057222575799813,0.8968221418892072,0.7209111389418116,0.7602421533358036,0.8043778752254631,1.5976399313736196,1.0496244179762722,1.2562659826573672,0.7914642413068088,0.7220033579788874,0.7575701727712058,0.6894309594725074,0.7803322094247639,0.6516804981582313,0.7447507014802482,0.833968020200165,0.9407219433400055,0.7589755190619895,1.0391151497330515,1.1392016055694092,1.1071703691442405,1.2331667822621257,0.7479519212523921,0.6964570407830923,0.6387744149410002,0.7096959929283898,0.8788807605931251,0.971365978835119,1.0969482883521966,0.8633908861078273,0.8932925019742094,1.1153555476095955,0.9991103101110373,0.9105897651512667,1.2058917422672777,1.3875397894850703,1.14846342521141,1.125661447012611,1.3877081175807175,1.4631160780361574,1.1321963314575312,1.1470750339013478,0.946072341016659,0.8539311590800238,0.8101174642837801,0.6895698777982916,0.74716833591858,0.6628202209991785,0.6227413978120608,0.6520083544375083,0.6972980248120993,0.6644759783178881,0.7583427936493662,0.9843445187348319,0.9224831132514024,1.0012195958583443,1.119370974467547,1.3702522089474367,1.3187381985910196,1.2685709101581009,1.5847855005361633,1.5831207530270313,1.2619895164714514,1.045780508572167,0.8047590380569317,0.7357813535278457,0.9706048357592401,1.1329560330153021,1.5058744162797357,1.756415311417249,1.1160812465485568,0.7672951142786193,0.6764056506311039,0.5954479279748228,0.7355986679667905,0.5782285666511797,0.707314024383665,1.3530156299058762,0.6473740009211506,0.8506447856756526,0.8067803594130093,0.9840552495617289,0.878562436511439,1.0104296680559113,1.52576993269251,2.0947210733466073,2.452952118760407,3.1450485307227556],[1.0858398068857653,0.9252473995782005,0.8005425096009771,0.7422934713521577,0.7193790224266459,0.6696237167683202,0.5147439814416871,0.536932211018751,0.5291288097160319,0.41774239894871423,0.408074204860135,0.45304398687004227,0.4147117953644113,0.44310797574617633,0.5182956133611112,0.47441581532923816,0.5598669648603298,0.6319499955294229,0.7650013451801564,0.7495698018604185,0.8231067502744411,0.9016073701598837,1.022050610728218,1.0182510779553864,0.8926599626424568,0.8290765463601392,0.7360909585762853,0.59955585355237,0.5660239781410554,0.5233876229082192,0.5636531354123849,0.5090716954270487,0.5552766584837469,0.5862118603894586,0.5107242664170734,0.5644330730403186,0.491042763812557,0.596716290878793,0.63920467101767,0.6328531450968266,0.803558463940306,0.8181849797942501,0.8178787072870923,0.8003982397838134,1.1248857184243237,1.3414886937400161,1.3548556712554294,0.8880886804017388,1.1210362094745148,1.449110948022936,0.9430975823451396,1.2031552755716184,1.1851768232833415,0.8844283285784523,1.3689240117554764,1.0186085028252518,0.9350901680841972,1.118074997358722,0.9365995724093255,1.61323829402893,1.0347746647216876,0.8237729613829698,0.7193116165308758,1.063494325411918,0.9784661121497356,0.7631737232013481,0.9970476112581432,0.8019942622292398,0.9441275580403149,0.8687900086051555,0.9907385058430738,1.2375183521293744,1.0314757216572226,1.1727019978275977,0.8335329230057585,1.2386071348530545,0.7800548559797702,0.7065408954292686,0.6553626298034487,0.6701294943812893,0.6131262086630315,0.6809606107876609,1.1041143246212692,0.5157849671771578,0.6607789655447698,0.5290411496699708,0.59948739284608,0.6474787340909378,0.6205087180296573,0.6422533104652104,0.7077013036234957,0.9049181586160032,0.7082191191120024,0.581763183770066,0.5627185651935834,0.6342417728352306,0.6383057313588851,0.5454320172695456,0.5356454676500229,0.7405203945364887,0.5294501690588066,0.670535997375657,0.5357553455190105,0.5810519122728404,0.6013764957139088,0.6614881318276541,0.8121747195467673,0.7038008397886272,0.7301492321904494,0.9073861526777844,0.6705694974699256,0.5539543321746596,0.4808133492849598,0.5132625073249159,0.4414033958369541,0.4954245404908253,0.5211607065663876,0.6402481295326693,0.8435718749454922,0.6659883733383131,0.691960406686205,0.5722876276063014,0.5515517781655246,0.46454008839924754,0.4571768890055138,0.5378918046146743,0.5903992059098261,0.5730688213330564,0.6178316922807521,0.6209864850779455,0.7493167957674582,0.7534874496886802,0.6881188498929057,0.6389987040417583,0.6427707371020056,0.66859136745871,0.8032802170972255,0.6654102570944455,0.5670716324169923,0.5955453410184894,0.8168566175520271,0.9008703942240202,0.7256766071137715,0.5869968461581418,0.5893070166150671,0.583526079303678,0.521419150433777,0.5206755684142083,0.45931043224594537,0.4939728971650642,0.6128254845851814,0.6633232052131619,0.9148402777338436,1.7648888083883645,1.2492271736077314,0.6682273330809874,0.5011446552700802,0.5446123316117598,0.4684511791869193,0.5498063853937388,0.53781139582283,0.5499727504822046,0.5602433262176666,0.6059231751893575,0.6534361032282011,0.7375784179662729,0.7857122721160532,1.065961698453832,1.0490467064480073,0.974074551289501,0.7527691087950311,0.6276568842946539,0.5836691434301944,0.5251007355747355,0.48121089739227657,0.5020377702750745,0.5577404210982957,0.6653109499823224,0.5026219972680994,0.5543952186102069,0.537701009226754,0.53016530093309,0.6137582086846669,0.6803147646091342,0.6654735779611936,0.6922030645402065,0.6518398639017062,0.8764494783686836,1.2844383028252755,2.2836688835150896,2.542313379123841,1.1814436427112274,1.1035605125750816,1.4463323004548814,0.9797110574506864,0.9143764305130163,0.9188568496202052,0.9661868702748038,0.9448691831476975,0.9728993729266313,0.855653747337473,0.8417750979107158,0.8342286511402043,0.8751231692994527,0.8730382533423859,0.9559151768415783,0.876616272110238,0.9358402642554123,1.113720942117649,1.1036795931620107,1.1151993189596487,1.2550749109130777,1.4203356573820365,1.3027049060585607,1.425758587090568,1.3113978036287746,1.3805205558106033,1.2337022731762064,1.0691801892784714,1.1280368770050397,1.1457766523638981,1.7459087041219714,1.3376495529270305,1.4360489353745176,1.0473478132688951,0.9829983438817249,0.9781923858085416,0.9212589027299068,1.0408665192588367,0.9373489960376826,0.9859906047078437,1.079988887209056,1.21834348926693,1.032472411342517,1.2065618804552816,1.3875102554302556,1.3441453539363009,1.366862849820125,1.018351287052618,0.9299876017959159,0.8573453596221178,0.9233586112847578,1.0562682423013765,1.1543558816294028,1.2144938157797027,1.0367120631371958,1.1058419352407645,1.3011258762428515,1.1947228921786344,1.1309048239495836,1.422389462757749,1.5956466694543234,1.3857591139319487,1.3786022549852486,1.632969311391629,1.7232924114614776,1.4000587003266196,1.4166894045632616,1.229485293843551,1.1312118213962286,1.071872562743197,0.9745824585681333,1.0576726109184318,0.9679975338497905,0.926927459741578,0.9835480550612423,1.0214580244579619,0.980297050081647,1.0948486441288758,1.2506326438163649,1.2321782425570127,1.3209463068451384,1.4238771766690919,1.6901352728216361,1.6275640820993345,1.573064830725929,1.8860672268857623,1.8593820885338173,1.583548704505363,1.3778945436162242,1.117593871008492,1.0205799409034308,1.2553677120505662,1.481113959303795,1.8435642069943226,2.0426205884032926,1.3869926679751041,1.0139917472205369,0.9175618763878857,0.7453896551456947,0.895182366256459,0.8368092319740229,0.971313498419574,1.5688549807170116,0.894864433641447,1.0697357254625497,1.0694067544358346,1.1530928972287477,1.0232403501845304,1.1649539528091408,1.4808488792752488,1.7483529087526435,2.349724418467616,2.7497674980653657],[0.9827205475144376,0.7756682771004897,0.6410626934417368,0.6096520311645673,0.5500252420831819,0.5356571667217956,0.42032937619253385,0.45603340514854274,0.47912138999366277,0.3843823396194525,0.3907234894291667,0.43823538341219337,0.4031707116654624,0.3956474893894099,0.46184595159789427,0.423026748740526,0.47841277056985915,0.5116939834498274,0.6280638927820938,0.6140331191381944,0.6537233835376883,0.7745698666134834,0.8554776454739155,0.8405763763739488,0.7646301926162048,0.6841112591054975,0.65002394973382,0.5233207973894702,0.47251182034336836,0.4533472779142121,0.473533627904915,0.45841146238650937,0.48231760140855695,0.4924460802043368,0.45023326537899583,0.4707747923073875,0.4433936261589396,0.5385701350901906,0.5557429281462197,0.5811597961342974,0.7423917492667667,0.7175012450282933,0.7218110179033304,0.727219711327349,1.0550377593804856,1.31809588356489,1.3189142097048738,0.8256744410367122,1.1039951504120773,1.4898636071779825,0.945747740934018,1.1905692085429374,1.0803664587233008,0.8586829365936811,1.3556877537035057,0.9637443643146655,0.8708426586119798,1.0866662065693258,0.8560632558667701,1.5465214763242487,0.9176227382441798,0.6929980464167408,0.6025492839992774,0.8830243020290067,0.7987510527589183,0.6204327361416597,0.8290080978041297,0.6540777330910351,0.7980535550498912,0.7077488143106943,0.847992021278872,1.101295741906721,0.8638858444836403,0.9952194163633171,0.6419798994295428,1.0722166808281661,0.6030354901833775,0.5605319962459904,0.5293891959594473,0.5467517341686846,0.5209079254661865,0.6871834683914573,1.0542657947937435,0.4914288290909806,0.6238441448761701,0.4892088531860995,0.5176062286477732,0.5959320879421063,0.5100502213061331,0.5458211456556147,0.5556149763094566,0.7730516130330407,0.6109913096886322,0.49925325378196483,0.4843939176686355,0.5534041598190522,0.5951713390051119,0.4886332655202855,0.487356356824933,0.6668334555255105,0.4954947733642433,0.6318619762312815,0.4852372452855271,0.5316220527272038,0.5429923175030743,0.5874591145186117,0.7506761038420083,0.5955359921508059,0.5976727410825088,0.8261682733904373,0.5661076465260481,0.48096659370477407,0.423501119395278,0.4666445374444227,0.42861118391863035,0.45723129763335996,0.4849043622958254,0.5582737797071895,0.7210450107271826,0.583565682407275,0.609195514228784,0.4813834511748265,0.5039160120343115,0.4287870794910855,0.4327625310776195,0.47765980557059284,0.48114762187878324,0.4836831107085202,0.5118687078477914,0.5264187812321777,0.6504039436551935,0.6622147372181956,0.6086684952773241,0.5657377432026869,0.5835665395129543,0.6297731739571556,0.7467935902933555,0.5985020362358666,0.5086392961860923,0.5473513148618339,0.7319549965506386,0.8122383838213201,0.640796859257947,0.5413534941913623,0.5389163697035027,0.5444097884813582,0.49500249894461,0.4791331667094215,0.4243961062451613,0.4594445779091772,0.5444973453632441,0.5892341191627576,0.8289338466006879,1.633535900889432,1.173247531841323,0.6018253819838589,0.47279921738668845,0.48450379037516705,0.44993826256677444,0.49624944718710795,0.498124518107128,0.4992422895819556,0.5149742861532557,0.5581771858518034,0.5932451414977697,0.7272049211631921,0.7306594529564272,1.0002873567148165,0.9816297697553272,0.9073449185987215,0.6949164016317178,0.5671067497743576,0.5313339879690773,0.5050588169991571,0.46480344195855855,0.4867062250592361,0.5134197484752608,0.6158918392961925,0.4844225831706959,0.5208087399019106,0.5347755887144053,0.4982151417785623,0.5659416668079842,0.6444445472321267,0.6201989125822115,0.6174354739216197,0.6091575682447173,0.813835222730638,1.2707923796274827,2.2862959647039385,2.5374273799638165,1.160327042048565,1.0847880875030198,1.4057446044976611,0.9121201761385943,0.8277587788878941,0.8180529815753419,0.8477916629114138,0.7954142865130798,0.8650948520449481,0.6739235544908061,0.6831076501622798,0.6729392255750785,0.6604200673047103,0.675971251907535,0.8077971186350048,0.6716361696305522,0.7188925127482458,0.9622792870489179,0.9960499490719689,0.9514625964527825,1.1116043096440518,1.3272184631970834,1.2156109124940477,1.311584980346946,1.1549974748391056,1.144099584101261,0.9539108546240457,0.8115675216042278,0.880011365812971,0.9253385637484484,1.5441370802377605,1.0840088076262377,1.2953504812341508,0.874126590803961,0.7849084194913892,0.8058836972166318,0.7564932686399486,0.8579487117008238,0.7410953190537418,0.8379676560661008,0.9243623635114081,1.0362390797825969,0.8646460412107491,1.0921290478149814,1.2345068843611278,1.1649861770200043,1.2606070888713803,0.8427095672061174,0.78923393093903,0.7110175688857345,0.7585896909704415,0.9024655266923838,0.9936371636434531,1.0879763917860727,0.8915081623821476,0.946392499231821,1.122048938656938,1.0473461859898998,0.9737472622174537,1.2686597495473604,1.464891199082132,1.2507876216464853,1.2189129664690719,1.489417180008686,1.6141950867752153,1.2707692612321702,1.2710326638257152,1.0654481821156156,0.9513038501334893,0.8871764293852218,0.7593868657744709,0.8545395982824128,0.7679591978107415,0.7220047338986566,0.7527559194774114,0.7936934634871536,0.7557258243554248,0.8661973783608293,1.060291539088567,0.9870618407798967,1.0963551423123428,1.2039017329991875,1.432689255102282,1.3776347112867224,1.3105612541988758,1.632645545888741,1.5942866005688263,1.2960698438572522,1.0744298267733754,0.8518791738024517,0.8539010973654207,0.9706653056941312,1.1830882514205847,1.5788192485456491,1.8348075061269271,1.1834831693247776,0.8200677558123518,0.7613005939573576,0.6072989849484934,0.8220072367889506,0.7032764382802307,0.8170747731502899,1.3399232851205374,0.7657906651988905,0.9978327922411866,0.9538107417214944,1.0783361037120243,0.99155186727691,1.1633076327712313,1.3983855254957984,1.8851014925165144,2.1760135269070155,2.659876013912775],[0.9535542387274835,0.8001247925626421,0.7109699471327008,0.5451204482087696,0.5561429951979018,0.5508290934221016,0.45592525453233623,0.49161340426465944,0.5243652279168957,0.48070416410446476,0.4988165652644788,0.5164418145653468,0.5373084434104657,0.5410767005531804,0.5892729560493409,0.5755734101757699,0.6497648008817483,0.6934673892827818,0.8371636197117122,0.8210964408003374,0.9091772848155864,1.0142212825221368,1.126583944394406,1.1061680595157926,1.0284782437158282,0.9385700785055336,0.8803494919163153,0.7392091437364682,0.6627436301571421,0.6046618807065692,0.6227146005348458,0.584715734330578,0.5824570487416105,0.6129283262057013,0.5981009228716181,0.6482116642002228,0.6092651790702235,0.7278975257774255,0.742808003737903,0.7985936454957289,0.9577678528758395,0.9476927856643175,0.9646458100205664,0.9905805781621035,1.2832050685312308,1.5122037232356984,1.5628969127185035,1.0711681621564337,1.2587091670934227,1.6709839275040574,1.2036005403523262,1.3645227910994449,1.26314506420679,1.0528338638994843,1.4690749947832613,1.1930677492737072,1.0605705554497604,1.264385900760427,1.0711603082954915,1.689667522823796,1.1343858482749565,0.9251617714059325,0.8218628560197994,1.0718413537363543,1.0572421232944258,0.865739246872609,1.0287836860867368,0.8171188649168633,0.945518884950854,0.8408030003994655,0.9769978165863891,1.1943396518698004,0.9763883169173422,1.0963278381366979,0.7974029981383575,1.1240836688509992,0.8045246594549949,0.7375884233761092,0.7202396961679592,0.7558270997158495,0.6845862546809822,0.8743015617887753,1.0472237255950694,0.661301286481916,0.7945176757734244,0.659933381402452,0.7212653541240763,0.7302490166128555,0.7065234773936361,0.6976225091961711,0.706507093701064,0.8877276861507966,0.7271953383751062,0.6161128965012725,0.6003114435496568,0.6705889588625346,0.6999363012716797,0.5778581081392292,0.5627877657019625,0.712981874395459,0.5645044930441081,0.6881267299336331,0.5811954899463452,0.5935908676957357,0.6179314489663594,0.6305281112078815,0.7609228038180753,0.6465094098598309,0.6293417117266951,0.8120710830566843,0.5979628276387903,0.5481780194969116,0.49408808001567595,0.5707248123605887,0.5863023542346532,0.6528123558757475,0.6701583681117086,0.8013086828436928,0.9564844453270814,0.7808963525633139,0.8049245620904976,0.6783840328058097,0.7189246863161859,0.6057566416121495,0.5346780780244703,0.5864424919109769,0.5419341795136173,0.5890241885069503,0.5867343159010926,0.5979464553382022,0.7538275461561476,0.7688190888008954,0.7459874093735659,0.6545688839239976,0.7153532668686203,0.7405673393331091,0.8040941694035694,0.7588858994056529,0.7229125892911986,0.7705262489043712,0.9765548954519695,1.0442267176441486,0.8707648241074457,0.7835509692667935,0.7736098812308836,0.7240032282476001,0.6789299944567848,0.6060522170857865,0.5322188120933667,0.5457336072082615,0.5952488686857146,0.6371451948370436,0.8478977256229021,1.6261852454225738,1.1871657530491493,0.640319487502818,0.5418268756887666,0.5345363149342212,0.5474803066945031,0.572369173369168,0.6187628496657467,0.6533213908941783,0.7215328180478716,0.7507788209772502,0.8155548707998101,0.9639238624505387,0.9132936158799553,1.1707783778570797,1.0934328336251258,1.0144497893868747,0.8370552246392946,0.7475715800478694,0.7128453020768254,0.6744114867250905,0.6253602949630033,0.6108290991076465,0.6379586636618837,0.6706400991723029,0.6372817132165177,0.65531276862733,0.6962907246805755,0.6139258984541199,0.6955852838703489,0.8075752254312669,0.808834279057461,0.8420852268059108,0.8587449671353745,1.044476107159722,1.3915473756594192,2.4138580667556417,2.587638398261734,1.3631343288065343,1.2365857016240493,1.5296473366416747,1.0605835081388841,1.0317126196786333,1.0161141903634772,1.0019765804638423,0.8936336646223726,0.9315055092949284,0.7088900465187958,0.6827142990185517,0.6832688318609119,0.6794286304186024,0.6812251353932239,0.8119237780767129,0.6707844698373822,0.74042858897662,0.9900629022503329,1.0622679141722464,1.0336150024964086,1.209243698239503,1.4381364920019883,1.3379890244072983,1.4651400299914632,1.2593406479314737,1.202918041833426,0.9700402908575173,0.8531754979655978,0.9283608349552583,1.0001655204633992,1.5234262528052818,1.1307537070049345,1.2888782580561626,0.8833057313739751,0.7779347355047515,0.8012049208801594,0.8256485861125558,0.9135519953788376,0.7909528352684195,0.9425879950100705,1.0947370534754723,1.168147566888472,1.0085928574549696,1.2136321858861838,1.4242380015754974,1.3038164886016896,1.3773897800034132,0.9475424698912637,0.8920965412006117,0.7907165753349796,0.777701253548656,0.9095062580411813,0.9319284036118253,1.0321143981582044,0.8706964957389974,0.9149755147799032,1.0774652133899398,1.0046588105766703,0.9461780961146157,1.2452108525834504,1.4583892170229007,1.267313956572244,1.2440897908722446,1.5337667583219825,1.6940895280684118,1.3511576618152326,1.3384773949972497,1.109860092647288,0.9717393886889815,0.8814423200256802,0.7827393210653615,0.8879331008111921,0.7934018651421699,0.7394123350749479,0.7946815861335954,0.8289919196557475,0.7922636674201647,0.9281047270068915,1.112761989638608,1.023537670887915,1.1798025442439608,1.3012384018545757,1.5184015321502322,1.426295959968064,1.3193361621608328,1.672020767014166,1.5858660179019395,1.2989522180797428,1.0338203585176198,0.8425563266444482,0.9359365751547937,0.9083363523474765,1.1090775432165454,1.533823451229413,1.8200811397944705,1.210293795808374,0.8240187648999378,0.8166401699788061,0.6355761319835639,0.857800422332326,0.6974757956485141,0.8034475858211393,1.2226451146344004,0.7522951977277401,1.019272441446094,0.9424486864847665,1.0482026603217631,0.9665618542105548,1.187758664106173,1.2450318796581568,1.79479418966131,2.126667758889489,2.537126918231272],[0.8689982850944841,0.8026652571564658,0.8007786046898229,0.5227501892305569,0.5437775541311639,0.5823172699391308,0.4091954210729,0.4647398380456589,0.4778137726322198,0.34489318212223996,0.3578222449244092,0.43895285794877364,0.35979069708398176,0.3279682365177644,0.40469806025883726,0.35874560474293843,0.3872184060618756,0.40418828255263173,0.5283369337497407,0.5086029767800488,0.5687532213184237,0.6982889080816655,0.8205835311201465,0.8029587654806501,0.7258763953692908,0.6051315833821137,0.5625257998397898,0.41887718132993385,0.36920002231064364,0.3494297076322774,0.3956640154438665,0.36661174808992164,0.3929448305996487,0.39340923813510587,0.34946818566915605,0.3718659231098475,0.3555862141231384,0.43909670565739334,0.45326346351289243,0.51915301181874,0.687427337701075,0.6366858007837862,0.6517742735372297,0.7027626201028131,1.0903582270192473,1.3612586648482659,1.409447103684144,0.81930270459631,1.0684810354988856,1.5448148539933804,1.00421243165617,1.2456133463878476,1.0518335820186118,0.8621066190157232,1.35955536511744,0.9454774746381538,0.8306772036602473,1.057796948303404,0.8153946718992221,1.5334780011348645,0.8851861927967882,0.637940069546544,0.5240025688287847,0.7835503780545405,0.7336807740029806,0.5536714291643311,0.7376649458702801,0.5507771496648578,0.7050274675057531,0.6413191059650533,0.7886153167055237,1.07319785238055,0.7929993478581976,0.9243916383289873,0.5531490707858108,1.0107724373102667,0.49917339114594017,0.4533274150146876,0.4299567536020093,0.5040740812699063,0.41358134559611043,0.635788425424883,0.9781846948005578,0.4536627381043972,0.5786601325288286,0.42397702139982973,0.42257064422781865,0.4995904524123096,0.41092736203384866,0.42985262596108575,0.4529110021888608,0.6985268328744382,0.5453326043308383,0.4344284709666037,0.42432874328897624,0.5199433330022609,0.577538823835675,0.42526742117545135,0.4295939461794003,0.6646153774247847,0.4530376126496718,0.6397113802362092,0.4487129467398596,0.5284536808404481,0.5293436898674241,0.5683934460596015,0.696715807554892,0.5904447536954711,0.6036877273116242,0.7928703261586428,0.5841147053778397,0.46815583736772626,0.3808641627464378,0.38760610892332964,0.35570413771600456,0.35290543548520453,0.40239200170146194,0.44279929027676346,0.6237471839902189,0.4712270093349823,0.5127570717922666,0.41674784138790255,0.41390611162659713,0.3202893134997077,0.3430933435636695,0.41212548603499066,0.5302510422217631,0.48915998592167703,0.5351928726136007,0.5089593976172568,0.6861383362963333,0.7078700628288142,0.6241538973684309,0.5493385264655585,0.555542595245029,0.5656503731621161,0.7025877124683061,0.5819782842308087,0.4453392115508218,0.4408862996282302,0.6139336711273182,0.711665229565966,0.5057972718834366,0.42337653573946066,0.42690145227649207,0.41776756488113503,0.38954871293232063,0.38482228107832644,0.36108286325733946,0.4143303057418855,0.5372449570022085,0.5963065457514113,0.8331983626034003,1.547477772068802,1.135903263934387,0.6064853275411664,0.46317202876305574,0.4780394454403556,0.419395823077841,0.4657071280464488,0.4472140926672365,0.4181029883055439,0.43462480207420384,0.47919406501339684,0.5526438265101846,0.6377729145578752,0.7300020176900691,1.0428385879770055,1.0377966094872537,0.899854941288581,0.6687817151089993,0.5251773273295217,0.4925268081842728,0.44299555265004964,0.4027506483998391,0.439969345075667,0.45031665781325325,0.5116875563018766,0.43618811262128765,0.4601580847909657,0.5095512224794946,0.46845058558753455,0.5628522068086089,0.6564419321741238,0.6124267742089671,0.6009311884800284,0.5659472855505351,0.7677049501895634,1.3132180052673634,2.267268386773074,2.4249702683707106,1.2394454791658005,1.0881934211517894,1.4123670060199736,0.9113151776181077,0.9136653846414122,0.9280590233481824,0.9560862758857519,0.8680272490038536,0.9241483657172477,0.7284694886907453,0.7289893612872178,0.7278734745310019,0.7209728456819019,0.7362318632112719,0.8706766270030961,0.7342782590193417,0.7957816131310494,1.0415449196768694,1.1305759993421975,1.0956925619014743,1.2602023594554352,1.4915913381385364,1.3983945108743627,1.5304967153224747,1.3268379824731746,1.2463333024719447,0.9878550133148141,0.8850593951559936,0.956290116698422,1.0509880856392741,1.5058330543209233,1.177817464352608,1.2853610757522427,0.9228813532281391,0.8112636030874877,0.8359497321118593,0.8337694966359298,0.9479242712105084,0.8128882967643009,0.9453525981451479,1.0998887332655491,1.173596073592532,1.0065075048556442,1.1828721159490527,1.4220335876824677,1.2950294669164089,1.3494066234978832,0.9421856746129617,0.8894871772822933,0.7959493610157314,0.8032423635856784,0.9215800914414135,0.9570930897544476,1.0219792443841254,0.8961966042896042,0.9532379973753046,1.0755087332632016,1.005395528273682,0.9777536254507604,1.2512077011824665,1.4597884348899424,1.294838724995337,1.2649138052207909,1.5377237618771709,1.7195657725932927,1.3807364818083547,1.3558454556580908,1.1407346967857694,1.014478723113562,0.9315149624390605,0.8393248403965027,0.9317049122543274,0.8431118450798267,0.7855406661434124,0.8493711561305989,0.8786091568934356,0.8186026874554365,0.973811556593378,1.1642534007984267,1.054720414997558,1.1984093632364317,1.3412846103294613,1.5539277512994827,1.4578497657356915,1.3427637898713267,1.6865223454318403,1.578671089694446,1.3036792182546484,1.0299118816001593,0.8658035516776665,1.0160112998368656,0.9174178443941956,1.1053060137916977,1.5380913860253385,1.8086935291453814,1.2098494245743896,0.8390181002416202,0.8239224809068395,0.6631965087054875,0.9125711863015836,0.7194293225742503,0.8355674981962544,1.1377024377226361,0.7499034726693877,1.0555302581939108,0.9260989404481489,1.0411482935380336,0.927171634185671,1.2416570727031284,1.0371832889113974,1.6520668908783698,1.978780005650911,2.348460824406043],[0.8667518604133028,0.686589662101737,0.7707192139703165,0.4959504129764623,0.499605345792688,0.5156300044156502,0.37828656841663766,0.4157851368541811,0.4484504072409978,0.34781897687095087,0.3701019379612583,0.4305130652409375,0.3782494671938906,0.3437743017027574,0.40649611572863215,0.3803816680477257,0.4212268984416642,0.43004499769125043,0.5273414709285372,0.5273773244805492,0.5803200847740481,0.7254948798684323,0.8267446773120387,0.8201139371704556,0.7461512497116947,0.6171941987208862,0.5813150422367245,0.47759921146191864,0.4294076116668764,0.38783757692796456,0.40955835834961424,0.3907865092299364,0.4002756166355957,0.41462615058634955,0.3809383524903213,0.41060337979797257,0.40622634855640805,0.4880729384816659,0.494092569096169,0.5615591499384719,0.7163514599512569,0.6585603476272309,0.6781867516864691,0.7407502913122183,1.1220537914178244,1.3885352014094063,1.4398992932392445,0.8537734765910302,1.093863663468085,1.566830659589112,1.0460348828932378,1.2950452790944442,1.0798363600635479,0.9224083913141894,1.3736423184896684,0.9831109177714031,0.8647895100706784,1.0921149040672289,0.853797536015445,1.5322453199031363,0.8999115295174943,0.6769391236100935,0.5488847511817675,0.7777489034742284,0.7570996324283573,0.5764509744187545,0.7099045360689233,0.5536773517472949,0.6949104745774394,0.6501595967232462,0.7879430359948434,1.0925667441803653,0.7800005253966568,0.9032395461508297,0.5692798130017371,1.0014024344798582,0.5197245898759622,0.4879992468496271,0.475961851015523,0.5612864631706816,0.46203098473055915,0.6720202098982961,0.9715868203887875,0.500736280816181,0.6144937057936188,0.46858615657156855,0.467549811621739,0.5400104665260446,0.455921555955555,0.4649982018931728,0.4741697227358817,0.7212655585010804,0.5423744960689868,0.4268513160770595,0.41476609757054067,0.4939800421539511,0.5586858420600876,0.4263112711400993,0.41241527604148187,0.5872981661366693,0.425702458595045,0.57135159065156,0.4795778786585331,0.5103790861391072,0.5433021579147453,0.5520171789672955,0.6692679395373394,0.5876297991929947,0.5712876013885119,0.7652171558168827,0.5453526863082059,0.46767047757679575,0.36800142187129753,0.4233517056034056,0.3855138822125829,0.40746222602133897,0.4724721537599558,0.4730137437652522,0.6193121496794514,0.4770319806833164,0.51619060182726,0.4465488410013453,0.4497339075456499,0.36047874428064575,0.3804464594929377,0.4349620299988791,0.520333720968819,0.47495290022215697,0.5115474775625037,0.5003455956058339,0.6736676411505947,0.685253810159611,0.6241087624189313,0.55003166964485,0.5666988895701636,0.568540229870951,0.6829129160363888,0.6054521837937197,0.48139950220042943,0.4785906811604801,0.6091079343785725,0.6997005420913718,0.5239384845958271,0.45825170467708726,0.4726419479605611,0.45552079120742794,0.44156889497260454,0.4331764417196258,0.3811331876494692,0.4260594512415585,0.519729859389928,0.5476315992309502,0.7451032401446402,1.415442388167109,1.0416092562958374,0.5367331737829437,0.438931974637671,0.4415904083528738,0.43825965401937794,0.4908789792972044,0.47581569018468595,0.4575002458495004,0.4759454274690455,0.5231966424290857,0.5834367375662486,0.6465769480891733,0.7459460194287737,1.0472265018766016,1.0381433358486822,0.9081594213609603,0.6794804343057885,0.5517005471570229,0.5285592412149299,0.48133958437536434,0.4431653900414451,0.46028497625545,0.49024794314508235,0.5072617903992297,0.47629685645036757,0.4893545724923807,0.5375818393790195,0.4946496585977401,0.5946341553191731,0.6867990577384551,0.6413916806171788,0.6395703002783966,0.6027239546828225,0.8103210832584767,1.330821644582988,2.2645298444580524,2.4230576046246832,1.2518075887491136,1.0995897729875352,1.4287827968924953,0.9190785754140657,0.9087748455586893,0.9259195007599487,0.9489976644275728,0.8416042088446337,0.9043470571330219,0.6837118629242862,0.6417039919972535,0.656620643565171,0.6315463655385168,0.6201999743115071,0.7627876665974492,0.6229992611007396,0.6716609668478716,0.889703410232975,1.0261533606960598,0.9924189892198025,1.1263415979075153,1.354626552737241,1.3351763157767007,1.4608852631688698,1.3026845335799468,1.1377468514309075,0.8837482443703687,0.7492698781955859,0.8240385280489293,0.9527810831926448,1.426817057801931,1.12373597796402,1.1867254977212087,0.8372857116400216,0.7419547064346769,0.7519582667870139,0.7804675096630661,0.8887515261378314,0.7537957959363714,0.8742240256752586,1.0702521794127668,1.1204868270703916,0.9472758270374926,1.1684030142403479,1.3759767742150064,1.2427089866227943,1.3423849903682008,0.8971776497802622,0.878847715641603,0.7625345996996324,0.7139972920401824,0.8217205318554798,0.8131980492622837,0.9208213652534132,0.7910628467533164,0.7981778881956902,0.9149379955590315,0.8743996716589287,0.822892414083752,1.060993369615304,1.2586261269887435,1.1221005558992367,1.075982472865341,1.3154278664965369,1.506294357702262,1.1911114459479692,1.1422446351309292,0.9642956921316973,0.8258107355779556,0.7755732132946613,0.6868052848496662,0.7594503437934068,0.6925864689747554,0.6645810686840435,0.7319349304193123,0.7578506048944393,0.727964747030428,0.8872338504496526,1.0802707083960577,0.9605480568849158,1.1279184551854506,1.2589294836750329,1.4537994126347586,1.356633625728086,1.224268846318908,1.593875295745269,1.4676010302924152,1.130602682466882,0.9171548145598581,0.7805555157441285,0.9799402006760003,0.9103823961535444,0.9132160158680916,1.3497153247011346,1.6985439890408598,1.1496759402319772,0.761690975196915,0.777863157989387,0.6124563093301337,0.8457514955173205,0.6520106406428544,0.7433267261206169,1.0875825239715504,0.7101192305955678,0.981192837456729,0.8420741049665518,0.9717060034928495,0.8845714639064335,1.2022365191629962,1.0226247752239992,1.630852324198712,1.9010504847424687,2.284415673419227],[0.8865061565745099,0.7114231438291815,0.7372936053257847,0.6003735583957833,0.584183464167742,0.5757874407097179,0.5324681019961748,0.5483282282747057,0.6084094275138786,0.537705206558138,0.5502619333329729,0.5542628233651954,0.5484243079102773,0.5522923558279328,0.5971036401176139,0.5844105429225919,0.6139869171694354,0.6160610451908619,0.6747367884029467,0.6662633906415566,0.7072378604114629,0.7997027907265156,0.8961958289419206,0.8756110931828511,0.8225625871120009,0.7308469974273161,0.7265957343667935,0.6305944890305956,0.6024988981328783,0.5907107369600796,0.604084442203909,0.5874565482374141,0.5974643531142871,0.5981115002047784,0.5752691824744349,0.5775406104258448,0.584961086653988,0.6389887317860516,0.6384196810196138,0.6886845346552887,0.8343304965935296,0.7800513982097759,0.7956117078316095,0.8316688559082724,1.1497158372597993,1.4072867017448352,1.435276053619075,0.9281879377203238,1.1440552412704807,1.5484704285185016,1.0653995905399474,1.2687177672954413,1.1642180753807094,0.954052555692771,1.3674485507221752,1.0959569730290755,0.9521668685219917,1.2019302290063716,0.9747293737914166,1.6279058061600045,1.01500512852041,0.8073380143741881,0.6828442281397682,0.868442908178587,0.8529204896613193,0.7257221213523075,0.8427084778781505,0.685046465087034,0.8048157540424867,0.7634943329550185,0.87338719391767,1.1509203146402864,0.8801218979620495,0.953091060061401,0.6820990991595198,1.0639325861656594,0.6751691484336574,0.6685063869014534,0.6432503876421741,0.6581578563235266,0.6257075624810532,0.7924334118517592,1.0359646166955077,0.6359212733315874,0.7385803652122684,0.6013400506182688,0.630743698051938,0.6828361400803517,0.6188452706950665,0.6489499782130747,0.6442648928986111,0.8703252998815222,0.6954060238360151,0.6085049155004817,0.5899817175448516,0.6624276874056191,0.6981196481259087,0.6035168529819255,0.5890470945321437,0.7041589984934985,0.5925944098277662,0.6679946939408411,0.6106748163464973,0.6089800846261431,0.6205645425081782,0.6387393870309102,0.7516422788968182,0.6558959123305851,0.6340819824734703,0.8211012876768972,0.605931654982701,0.5745530267298274,0.5300333206588218,0.5726896998046463,0.5423898847667549,0.5834903115851561,0.5861075527234244,0.6486066355736212,0.7899197485045387,0.6423078707335069,0.6593746686985026,0.5856366284864369,0.6092195686153585,0.5580854646416361,0.5492336142794473,0.5491269049659411,0.5485556387660399,0.565777474083403,0.572305105736892,0.593593154844889,0.7052616135898382,0.7171173984843222,0.7045301241724662,0.6342513431082487,0.6685693269503818,0.6858418246992082,0.7962100690432606,0.6986016206594126,0.6274460052614317,0.6591249124335823,0.7885026646921062,0.8650873025568605,0.6900359549803559,0.6383792655933226,0.6342259277834692,0.62366018914786,0.6013726088310819,0.5923654049215454,0.5468467385864785,0.5775736380365986,0.6440738897123436,0.6812021542270955,0.8642305490992306,1.5188599747970897,1.1728334256921726,0.6701918194156388,0.5912962248600082,0.5667622516835794,0.5643351506037049,0.5953376594604235,0.6108536163350572,0.5963965750575639,0.6274847240891311,0.6717747958298306,0.7162090065944159,0.838481209863187,0.8585365385919858,1.1419892361959276,1.0900516596726553,1.004674978930135,0.7909066493383616,0.6878907721654232,0.6565739016542331,0.6392951772462111,0.6053035188261812,0.6125379483492847,0.6506710777883405,0.677809409381854,0.6397923164287285,0.6285753268814874,0.6787671706615134,0.6180538695262345,0.6902475861949185,0.786831503625028,0.7297090423286172,0.763887542125679,0.7368439266075348,0.9694523622788942,1.356482037526716,2.3770030643532634,2.559922832266515,1.309843529747281,1.2207486678532413,1.5448979763373374,1.0449452361477949,0.9594492710089539,0.9288168763232937,0.9447884887599783,0.848615549665365,0.9163253208723394,0.7043507743000181,0.664129017779479,0.675283151450886,0.64507715848242,0.6388160032894646,0.7683724070455449,0.6216866669680055,0.6715942189860712,0.8849728311641194,0.9786345612229027,0.9346163553842257,1.065049235987215,1.2816533684439453,1.242472237117111,1.3506010941522315,1.2166156633330911,1.0907829282548807,0.880132117849502,0.7389227764501966,0.8006937682917132,0.8935362109525143,1.4528284042041715,1.087628155665635,1.2102971672947456,0.8204893065966593,0.742083922531897,0.7686279875358352,0.7885818995059788,0.8740600956907718,0.7535614463848473,0.8839241977885971,1.0190405630544914,1.0792586605139407,0.9276531706781498,1.1837335555536077,1.2964000568110745,1.203239530752009,1.337927613221824,0.8926253056820995,0.8581457656058694,0.7773466348827952,0.748577336082901,0.8728948058060553,0.8700525618890144,0.9946661507788926,0.8305161560273305,0.8397389873306191,0.9829899491939539,0.9439347333646746,0.8603861095946876,1.1060136825559128,1.2926377548437333,1.1189801880150747,1.0805301860059515,1.3303388760336086,1.4930751635204018,1.1622683502853777,1.134447098477309,0.9504256018628744,0.8314775951764739,0.7908330511677889,0.6849882173126366,0.7547359547104491,0.694826397705368,0.670690600361951,0.7118436515005262,0.7442401498050429,0.7258785432706732,0.8621226274963177,1.0583831825606582,0.9621623000759884,1.1096882899615332,1.2149851863963395,1.4156841284477988,1.3329654709136578,1.2235224451481315,1.5806597789386394,1.4986139480035177,1.1493961242630364,0.9383355523530739,0.7865934353433577,0.8903588419940355,0.8918095909543623,0.9583717812168361,1.360924203081171,1.7106572065667676,1.164960605345287,0.7909191336557314,0.7858482867263155,0.6168048458059961,0.8072780159958154,0.676570355394303,0.7632464818497542,1.2149789955719492,0.7590888837168994,0.9713883942003229,0.8938152486513392,1.0332319971620143,0.9513606717969154,1.1352639595782459,1.3040784533728031,1.8627416055865735,2.049065699451664,2.513292626383417],[0.8281730510573151,0.6575686288919557,0.7499191412226063,0.6030515189319735,0.4747893261442065,0.4175864134668321,0.3119818159428837,0.3285940440531722,0.3954441468497437,0.2804515513736014,0.30268067272362364,0.3929347417988575,0.30454204496464415,0.28746983407623594,0.36048809511274466,0.3141940995058368,0.35508850753980103,0.3618634381940239,0.47102968964400843,0.4700649482938377,0.5118422459339111,0.6587111424957786,0.7473569384651331,0.7478694027476713,0.6659885550370683,0.5493579662042762,0.5298853346035601,0.4109272235771744,0.3609631048803295,0.3242937054879078,0.3609010681446997,0.3275611173171134,0.34464279961379884,0.35651064537450583,0.32432620713137644,0.34823399665911425,0.3403573120942113,0.4404176809859016,0.45717401148974524,0.5153393059808357,0.6829271344369252,0.6061914272215377,0.6200551551118625,0.6799519798527365,1.0603878362599861,1.3263534114552673,1.3279644146996639,0.7873501174640442,1.054617832516415,1.4889252917426243,0.9480780887009467,1.2184912449731173,1.0449586028816187,0.8530805727183708,1.3352192621665968,0.9418556806108573,0.8394056236685753,1.043521353927007,0.8111360742924246,1.5095275565873918,0.8596439182124426,0.6102664930873156,0.4867493428902555,0.7257808090618065,0.6841403622016895,0.5211697223653324,0.6727723608773196,0.49889306643570247,0.6518926284670861,0.6097879423485518,0.7773283693012866,1.067974435664094,0.7447212215771191,0.8498801361079223,0.5220078251995367,0.9771980405245272,0.4675834365863378,0.4337583404401291,0.4218731753746812,0.5100451331714088,0.4159527743538417,0.62982945520196,0.9627747464639754,0.45184525793381225,0.5908982349531391,0.4221904221348556,0.4226426518128763,0.4999574853877479,0.4028735790979107,0.4322423530812133,0.4236856882821229,0.6912898888197345,0.5170279653414208,0.3839718731615702,0.3714406133360869,0.46703900998405634,0.5373693063047644,0.38559745466343304,0.36130048017549193,0.5048264374792274,0.3599155906093914,0.5038709738249213,0.41264471515641643,0.4146786103019347,0.4607301372304835,0.4699203883971739,0.601011078987473,0.535580697430196,0.4955928666995213,0.7112684015315378,0.43920538605893705,0.37841423216804737,0.30084751043856245,0.3662666172341415,0.31170259007252876,0.3506143078487253,0.4014123069636748,0.4397219628396271,0.5725346199914122,0.42856900998884767,0.47004891851987524,0.3947600954023382,0.408747612744805,0.2971346445782248,0.3072427753376802,0.38884701440083413,0.40071259082761107,0.4126815494934858,0.44460252667665096,0.4653170191041208,0.6083424025109381,0.6090058964025836,0.5954891832015717,0.5196180559730154,0.557726806923259,0.5873489871297957,0.7236389995295475,0.580110044729614,0.4673106009759901,0.4837483478386435,0.6405476358731109,0.6949026431584053,0.5082572906950764,0.44007669560472407,0.4406983963054395,0.4230265387997274,0.40109423938855604,0.3639523687977303,0.3130418567720674,0.35684088073803816,0.45396547170376766,0.49007792873800227,0.6912961690787235,1.3947071944291203,1.044379920409982,0.47174746834984604,0.36144190169364765,0.3549007476546439,0.3494443369608616,0.4047323902362698,0.42604971049503126,0.4078551613817324,0.45557975265549844,0.503267807679472,0.5651214516636447,0.6677277598642917,0.7304114467389776,1.0119432027691342,1.0180680252947447,0.9326204234579674,0.6903408878329863,0.5454752111917515,0.5018763254201074,0.4618421972609876,0.4048618590933986,0.4084775813203984,0.4448507447486726,0.4901921514182137,0.43944236013376337,0.45650249321052055,0.5049090723154989,0.445428558489047,0.5479155797946224,0.6531730176163622,0.602363094539819,0.6084328691243314,0.5632183628470403,0.7956904537020423,1.2723290516268695,2.2419539893513245,2.5010388053566475,1.1425857692031605,1.102722224964252,1.4749192572436236,0.9497354454952605,0.831842773558371,0.8301953168657219,0.8512736968893223,0.7658580351127029,0.8351919032177147,0.6104214121737589,0.5612653681657165,0.5695774575929025,0.5477389691458565,0.5345834645466847,0.6728361909586714,0.5801647861950738,0.5845163170671801,0.776473258742431,0.8923231017656366,0.8493122615737652,0.9482862034505497,1.1551854915539361,1.1611595990730845,1.2372768547580901,1.1380031765709702,0.9979376458922029,0.8028685532567665,0.6619108605183981,0.7086776279532688,0.7986502282028546,1.4430213165506083,1.0638987193431888,1.157428918679782,0.7624394822774055,0.6805721640466343,0.7090558172388791,0.7175328400997862,0.7882063627811601,0.6744115206823766,0.7817383003385784,0.9241780956957835,0.9944577488104274,0.8271270670256126,1.1118715592772916,1.1937247357830338,1.1231715226742953,1.2777242742090678,0.807650956314983,0.7882985505562551,0.6899528389179229,0.6754702002099862,0.7967416863180161,0.7908772142304504,0.9368844249123881,0.7501949659642377,0.7351148119459429,0.8895072719642405,0.8389905434021094,0.7608841816145567,0.994589711618341,1.1850982465058875,1.0202398340195902,0.9619098986073205,1.1903493952448134,1.361605132254102,1.0295518163893906,0.9898149762266939,0.8225379150382003,0.7055643681956095,0.6833121016022793,0.5907241317828709,0.6474851993660904,0.5918724524264786,0.5785290688481219,0.6248774421668281,0.6585352325573246,0.6493825680485378,0.7756915741286147,0.9712769784775328,0.8885616818557069,1.0209370183899418,1.121048092124963,1.3135952488013762,1.262363470728704,1.1612187968558456,1.5176918304960614,1.4874382618982958,1.0606094515889728,0.8806646991699874,0.7294120461272751,0.8330615089660007,0.9003266603274814,0.8640203423051823,1.2690003667744505,1.6432254023559472,1.0996491045089842,0.7076366856527947,0.6923584198647964,0.5428075977372415,0.7755292492905929,0.5600930775150039,0.6631012143820716,1.1353539707965574,0.6584093996340967,0.9195813020937615,0.7748056123978753,0.9519723835829638,0.9097270492560139,1.1013022169058795,1.1770106065435266,1.9461024663347817,2.0538114183120935,2.7281952618434597],[0.8062337584098777,0.6090951525680576,0.5820437942309644,0.5103247471168719,0.49099927421732925,0.4046923187839827,0.2815011334751277,0.33754468660932685,0.4010746157067954,0.26760825946864225,0.303690135686776,0.3875856728059218,0.2835963994759372,0.2562091257883109,0.32853544293555764,0.2784594499471461,0.3190213930488131,0.32228818109779983,0.42710414216632997,0.4163517978523976,0.44452599178855023,0.609359639166553,0.6735903876738615,0.6755879313859756,0.596984836208336,0.4961914077881101,0.4531966038050961,0.34595683207585604,0.30622361005357424,0.2651096542847815,0.315037762593835,0.3026291436310108,0.36581744004464195,0.35394858609965496,0.28815320939683986,0.30400981793931503,0.300119001392023,0.3764438109726174,0.3822033457960496,0.4059033055860518,0.5983092134911249,0.5433599438703044,0.5399550469001996,0.5713542148304329,0.9598985960506844,1.2380700877622541,1.1749207874693952,0.663691876417159,1.0128913836965248,1.446032539886716,0.8423461822305718,1.141217951969292,0.909493490781734,0.7512159514236586,1.3222091169390477,0.8371555841366187,0.7946507887919391,0.9208794610589999,0.7344965834151096,1.4195354543862355,0.8082125995721315,0.5460642725106036,0.4475463491443959,0.6627637931605025,0.5889838271628007,0.4354188174481924,0.6551858487950032,0.46934112574728254,0.6217350626069108,0.5703676172235332,0.7531662283667064,1.0151841512502355,0.7315787128772542,0.836678876986241,0.48113613671274674,0.9635022827440084,0.4169640773413357,0.3734916515958906,0.37644220157393293,0.4322907273386326,0.38309028656144367,0.554945249010044,1.0305166010060698,0.37432838095751003,0.5055037091259266,0.36867988764358733,0.3607257876329245,0.46108369578428365,0.33964866082377254,0.38189033025538344,0.3740491696452399,0.6354461265975213,0.4494950364199264,0.3604707659775544,0.3473785041448451,0.43238741798853725,0.485917518224884,0.3818863729539565,0.37802895824749433,0.5692502891430291,0.37777818038395294,0.5327967530263751,0.34927003220826697,0.3945674158017956,0.42839317332449917,0.4669107628519366,0.6379000758637006,0.47850566105297687,0.47183755574372976,0.7405129697522848,0.4254988465610907,0.3378245689150564,0.25112459973498436,0.32515865307476627,0.26333608836802114,0.28634267897603505,0.3615019734617618,0.3887368493379735,0.52163582798023,0.4060382720472075,0.4176568223889814,0.3469431481015963,0.34264240115761085,0.24848497407391243,0.2711803420621749,0.3476782192422345,0.3354998463014142,0.34144010194094515,0.3683624309031282,0.39429164144281387,0.5351911165547454,0.5487113530652815,0.4925347474692601,0.4577417874062135,0.4620638016882111,0.49796605328030774,0.679073713428627,0.48239352507746314,0.3982088731790901,0.3985303016643098,0.6037007125131282,0.62277139788249,0.4678851749811265,0.38394450379838013,0.3753338934070091,0.3749521717309147,0.3356396860950918,0.30529872460911195,0.257582800688904,0.3378294657783131,0.4455650096828643,0.5036153419427939,0.7405108355798371,1.504008728719768,1.1021019344421705,0.5169374870587812,0.3636792273294029,0.36454906748494204,0.31502510381857374,0.35942793428224806,0.3565561419947665,0.3423137701205268,0.37107882031391054,0.40992823712002796,0.4510626104278721,0.6041992740266366,0.6101041198076702,0.8881965122535123,0.9223350710402557,0.8639902022854041,0.5975527722563465,0.4554721481537207,0.4076147285407648,0.3576846357437421,0.3020428219913585,0.3377596232756373,0.3752492764207865,0.4786400524690742,0.34618722122157625,0.3738706111420154,0.4131870265235415,0.3674080922358282,0.45009105828138724,0.5169779020470742,0.48965082685477257,0.4963700877458018,0.4774200481722117,0.6690181869032739,1.2736172551400369,2.1016880455410094,2.447779197308754,0.9647173997221163,0.9368776943299694,1.3176041685836304,0.8209039371659779,0.6807782208363472,0.6825514562358709,0.727486655342756,0.6866075065140645,0.7729488200820128,0.5412837626159003,0.5399582007395609,0.5405051446004676,0.5225969892292855,0.5029290327518406,0.6316124297277823,0.5397540174178432,0.5253444091614785,0.7478829608654324,0.7844846311373604,0.7241437399937571,0.8502531260665322,1.0727841759297152,1.0002998187498426,1.048490692624933,0.9533666952102344,0.9587025228835618,0.7980091088996202,0.6352174927167988,0.6663943967179718,0.7143404628527789,1.5359240447255116,0.9653158346270169,1.2012412337796292,0.724889830404091,0.6366998696198545,0.6749545700863452,0.6483126996874979,0.7120097128437853,0.5967339335875644,0.7204499883663991,0.7895845916009103,0.9201990936229352,0.7393299707230463,1.0226340122802944,1.0676554018343647,1.0417770825452224,1.1603726306196367,0.7373262358289777,0.6741901390548163,0.5954682395010771,0.6306033256053878,0.8071174656491532,0.8732394324243247,0.9913509165591692,0.7767672153026568,0.7824749376779386,0.9818702693224874,0.901036841445005,0.7999628094468455,1.0725531732596163,1.2681438088222845,1.0493916161652848,0.9955718630762694,1.2464706580798803,1.3679731138514013,1.017600211706441,1.0067420052686478,0.815305310846803,0.7225287330621794,0.6915102153427058,0.5704630979865369,0.6391480712726282,0.5630959589333411,0.5437670354869409,0.5724705575612028,0.6191261033003694,0.6160772234469024,0.7152189001504686,0.9230087542280279,0.8873853166812253,0.9749120250333918,1.0684188876769438,1.3076108423510169,1.2799370925542353,1.2446506319053654,1.5396426338559954,1.5869039184717582,1.1530979266702335,0.9815651029258763,0.7327688035201938,0.6562429876511021,0.9373318516647084,1.1303721985213122,1.5257839876639594,1.8096842144468341,1.1361193421602889,0.7664887977700315,0.6551574790830206,0.49549993746691695,0.6643142599551015,0.5397351654035363,0.6521187773533161,1.2529920486073582,0.613921031277652,0.8414561731637956,0.7695771660269104,0.943991510524502,0.8577772735235527,1.0122924246862588,1.2889223623187454,2.0034021573380256,2.13211987186789,2.7724554717069188],[0.8017268836726518,0.5948250135844653,0.5890655905369262,0.5975905844435049,0.4300250946249055,0.3599414922616645,0.2700984853351623,0.31343458832716614,0.37900781574350606,0.24505626380998674,0.2722614262181155,0.38276882289558706,0.2628839568026643,0.23260845068167618,0.30850601678120615,0.26310095645164316,0.2865735292048375,0.27887926020117365,0.37288935515605165,0.3662042601009509,0.3837335543367652,0.5587332043584342,0.6135904133546141,0.6036680580770947,0.5323745160474921,0.4392115332012389,0.3839006996975883,0.3057590265616483,0.28186523884080944,0.2418695703367001,0.3108937579860911,0.28533649323181015,0.34535246346344783,0.3292955696683532,0.2637276768375158,0.26269950372658213,0.27906848555892555,0.33544331014298634,0.3287844470638177,0.3446310380610333,0.5317247063050847,0.4799750464375875,0.46730697750281464,0.4876645092556257,0.866444008162444,1.1437668525960631,1.0610274048382204,0.5872741072024332,0.9911259087553017,1.4249557637907713,0.7711886584813687,1.0944833321319416,0.8514982292474428,0.746306134557565,1.3521650533437026,0.761156011132631,0.7415697416668052,0.8553203178552702,0.6723369782668198,1.3389829948806473,0.7455410910845136,0.5187703942812341,0.419692577912985,0.6167966324589582,0.526590270253776,0.40494736460314784,0.6116187961948669,0.42584008626913467,0.5719878595413505,0.5318120307830263,0.7325518583927174,1.0065992840238431,0.7025285722938973,0.7795314177225858,0.45156468987176657,0.9507711378533472,0.3735561928804069,0.33387601876440653,0.333684636763816,0.4000370132910603,0.35403015035508084,0.5221479392121717,1.0274880905240076,0.34930855679984407,0.47321617893657686,0.34491172591075114,0.3405022039189891,0.4451756190365877,0.3007351132058094,0.3636608447872677,0.3290042860853524,0.6290325978928764,0.4412824735946254,0.3351448799426344,0.32380053786183977,0.4153948428937529,0.472208311073134,0.37120471816842876,0.3634515563927469,0.5320384932819899,0.36414212008538865,0.5181133519932071,0.33364466990256264,0.37051584234727053,0.3888390405663909,0.43300823913080805,0.5822175383578159,0.4031433175621143,0.3946202661683795,0.7266353728139724,0.3583482093421095,0.27414799555539254,0.21735108943413683,0.2688237983962569,0.22645285798913584,0.2733386943628088,0.3577861114976007,0.34964334051227713,0.47312305917655234,0.37325094464305886,0.37555856006017097,0.32126313355440583,0.315206752097187,0.2205300527598089,0.2270633129477759,0.29442570675287016,0.2901072075717817,0.27286112990166583,0.2847319891520552,0.3596616962876767,0.40514707525453975,0.4176238113329696,0.38046022098211546,0.4219754808139096,0.3984059307850487,0.4729447792665325,0.6916035780616548,0.39146690996453837,0.3409238194434031,0.341611168062754,0.5670439700229946,0.5593155988387748,0.43239851704918497,0.3251971320562205,0.31881788366159314,0.32693145235617516,0.2820094583873033,0.284071499927159,0.2193127082965805,0.32623370123852263,0.41383626315699223,0.49923800292746007,0.6931455176888931,1.447329274555769,1.090978539656493,0.501626829890967,0.35317294805561333,0.3552137135794286,0.3061377458318193,0.32115079847893774,0.29438413529803126,0.30788273242831216,0.3141018746784836,0.35303539581392507,0.38757119288935504,0.5419921130217229,0.5405692170066809,0.7748997394939101,0.8171483548432098,0.7950931617595715,0.5358469633206354,0.3722805989398463,0.34129322822848207,0.3073300109851965,0.2496011737450609,0.2950525643223084,0.342083598200123,0.4657875114189074,0.29782673715599994,0.3265010905316959,0.3603113636707387,0.313974227347775,0.38620625747562554,0.43407353565501644,0.4286046534435016,0.42606125679096113,0.425315932755622,0.57635813451804,1.2593049439832744,2.0726933240452494,2.5030771838490726,0.9463017035174568,0.8990650448463615,1.215836679902438,0.7145991036992685,0.5345993934703948,0.5656347395671419,0.5387022102630434,0.5097218158198252,0.6342492700746231,0.4228408427541392,0.5125902237019277,0.4696405134752941,0.41339939245370055,0.45985081361239283,0.607096357570278,0.5548890537062118,0.49157633394591393,0.7254664693471632,0.741980934548038,0.6784002066810986,0.7821334868287962,0.9730404555719018,0.956195497661953,0.9541507320947252,0.9025525120755399,0.9184229628816889,0.7150225810652548,0.567881992509877,0.61389937098426,0.6478566443063237,1.6309291624534128,0.9611123039828906,1.1698041458217345,0.6920619676565973,0.6292460275091936,0.6856986877167314,0.6234729398065446,0.6278966015618452,0.49924699231425307,0.616781379979996,0.6386919950952449,0.7592566404840068,0.5518805961070955,0.9019529837178529,0.8381158736406613,0.8546233406781558,1.0081520602878853,0.5530525671936298,0.5511561060887966,0.531710103820049,0.6492688758016278,0.8376415169362795,0.9064701890138854,1.0595996182746523,0.8081042872372084,0.8046165671696968,1.0346533150581003,0.9269449617564883,0.8118039160312821,1.0631735154577868,1.2344599169415198,1.0169633101969453,0.9664343772809005,1.1836889582915544,1.278119456479653,0.9609186800381236,0.9557447249010825,0.7813148418816585,0.71633626161574,0.6962017581871821,0.5760557399392473,0.6165701431196804,0.5461031735779553,0.48750818355382114,0.5063422430606631,0.5644813981055682,0.5104977952642498,0.5717747947494377,0.8053816140114964,0.7600200686412292,0.7758648734280302,0.8700402937064313,1.1164983908339154,1.093666161350469,1.0778062198679546,1.360411608724433,1.4677423651363235,1.0003335225360699,0.8665641566300546,0.6566742971881107,0.6099191476274227,0.911217917019374,0.9479418668343913,1.2729073865614233,1.5484531983535952,0.9480649869196645,0.6246482540620951,0.4893638279747806,0.44011208435938626,0.6748846970713094,0.4993834938687864,0.6313292148518987,1.2669846659243216,0.6030551329849608,0.8370720558757159,0.7419421630581311,0.938470425562709,0.9044159372295584,0.9863369277948993,1.4232705468774307,2.2786506254895453,2.4339798191600366,3.3514022563984374],[0.8250314289065497,0.5660420049163853,0.4287746742049082,0.48270856577952403,0.4281489847262366,0.34351895296780993,0.19371992005981303,0.28428512632588654,0.33195156901045014,0.29051633159445833,0.308331159340151,0.38487712699796045,0.2979895607792636,0.316328146137946,0.37828219148741454,0.3160558052368445,0.3571517167307346,0.36979294541284546,0.44369649894558794,0.4285621989983863,0.4354998765302338,0.5851076968301117,0.620012095562328,0.6101166584590605,0.5339668448166691,0.4699669606130336,0.3984978548577218,0.35989156493602337,0.3576978673938234,0.3262370783575722,0.37140982001588474,0.337863274246248,0.3808563587719193,0.3767840525455032,0.3414924662183295,0.3463820192105658,0.3492556250669639,0.3744017090006516,0.35827939304674594,0.37496052782242095,0.5039956801759997,0.49219653024600335,0.4741308737782108,0.48539117363974327,0.8296754704326618,1.0899601315707546,0.9797609152373596,0.5384736055251497,0.9399199731425736,1.3915652547521817,0.7508850869773135,1.0673242219836052,0.7807805794269842,0.757414862485713,1.424645210732411,0.7736590732803748,0.7986619485577208,0.8228219380819018,0.7026824466948887,1.2937453676411124,0.7394118174568111,0.57567985353211,0.47201831922908905,0.6267841375705929,0.5395991139967912,0.44826427501966676,0.6605225337468508,0.5073905904446454,0.6127209154041132,0.5940798416703781,0.7974980278855922,1.0238924876311062,0.780277878592049,0.8022779701480461,0.5217310170324265,0.9287482001841432,0.4324351270081565,0.3934230701259285,0.3881110026573003,0.4205710683289446,0.42528284374986003,0.5508064193958649,1.0710293865038918,0.41177030384246593,0.4433385654647622,0.38116362805411363,0.39776065905945296,0.49439593918618957,0.3594653130164117,0.3982681077919551,0.40411927763741623,0.6473255915540349,0.4700035716671632,0.36834217773089944,0.37269119450563265,0.4294878102199198,0.4798248756363146,0.37302447088656654,0.3493853159219805,0.5396638032096248,0.3886591299202074,0.5646467253529616,0.3397696494900263,0.4112836466106555,0.4278461992993074,0.472788068291103,0.6579632090858095,0.40995490498101644,0.42865108826054055,0.7550180820613537,0.38340310708670916,0.28243031182845646,0.23180876023080135,0.32002908886494763,0.29467089112593187,0.3337513984173702,0.4331378694808635,0.40096148965043893,0.49314756495326495,0.4156779467753384,0.42866318940245146,0.38235799156076133,0.359441895557901,0.3033152131989551,0.29727653615668276,0.3558685507665019,0.3070206176343597,0.31337597132088857,0.30364412114060935,0.37038505861936355,0.4274745769813094,0.4726202686894056,0.3866707977175717,0.4381962356333741,0.40498330709265284,0.4683097356585762,0.6815550514217941,0.4042563949056156,0.3892785019585961,0.35369985291789313,0.5443498905069407,0.5453633622338477,0.4533826195730059,0.3487522851976027,0.34005703028600176,0.36708114736187336,0.3211161296099255,0.3481187919318564,0.2769733000007672,0.3314976862437121,0.41741801204781553,0.4514803443529615,0.7372302226894695,1.463427394443381,1.0113961343076432,0.4821914504672528,0.33486371092121126,0.3749273457657051,0.3065845064823154,0.37262458923883524,0.33512954682759216,0.3400149021371942,0.3443978333392757,0.36256747089479247,0.39783307366567,0.5647998071380654,0.5013535561929069,0.7285202136206383,0.7957426970845779,0.7726506694867098,0.5106157357384091,0.3729003293299476,0.363296261692138,0.332866062861089,0.2957983797922121,0.334813308426988,0.3798083882051369,0.5312705170897272,0.3539195343463714,0.3814122743052463,0.3834911081123924,0.34690809433370073,0.39990029921968767,0.4169441952346228,0.4257103946246008,0.42959864823877225,0.4385216108743193,0.5319904746958994,1.363619528176467,1.963959658530431,2.4191653315100776,0.9041064164487354,0.8265234365791129,1.112458752689252,0.6616106062635558,0.5138178188459959,0.5666197737443922,0.5087670782701936,0.505190459739639,0.6164432997129448,0.41732688449731603,0.5230345979531514,0.4588994482033473,0.416864861451331,0.46711143424701485,0.5903811381318236,0.5589785043527936,0.4731565428332482,0.7381270668439393,0.6875220475458304,0.6164415863860131,0.7425055920115319,0.9460646716628447,0.8743418379858463,0.8551973412698644,0.7871087017231005,0.8895707560086157,0.7179836229833096,0.5628714498211239,0.5987354985526895,0.63985983592691,1.6841840063322575,0.9044945593789531,1.2235659929960943,0.6898479289209493,0.6591967109622844,0.7411274136938448,0.6625711492616989,0.627965207549883,0.49930097083567176,0.6715669051464221,0.6046559064620193,0.7460928352882903,0.5531504912558791,0.8718381866051741,0.7560288120442727,0.8204743019683913,0.9390357740199581,0.5452200318826401,0.5274910744706882,0.5446361308241123,0.6966781721728965,0.8989897285496447,0.9954535422375558,1.1128882356087526,0.8849456121396525,0.8815763311426298,1.1239480401002577,1.001205653047523,0.8677863132281909,1.1497825101986854,1.3230868471674693,1.070649863769858,1.030087555382344,1.2640598919257846,1.3302212272649254,0.987298565224248,1.002690269492809,0.8160365180038346,0.7669354520696327,0.7421960892980413,0.6119280125892607,0.6524745913495956,0.5523312388607702,0.4997707136448425,0.5030256913939646,0.5580540312505118,0.4996880906709407,0.5426917035743598,0.7685833955603417,0.7557011957969146,0.755767911122701,0.8292752212958386,1.1154928866932285,1.1011866901023042,1.1376551580744785,1.3631432780329185,1.5210630455052805,1.0772261882521426,0.9724793614875361,0.6799225206318367,0.5774857163012239,1.073274853330521,1.1859549860846974,1.4608313051409185,1.6806711868091488,0.9867577043793408,0.7070575160072379,0.5098065663278623,0.4315845795380704,0.5785120824325174,0.5054884891444552,0.6483835857584567,1.3341488461855604,0.5755358355152016,0.7957323596797119,0.7546855163233812,0.9581614944785254,0.8664535463094746,0.9689658657487287,1.4065119592178394,2.2101974509279714,2.3290342930884287,3.07573799507986],[0.8570997431154147,0.5348307137036943,0.4482330168151213,0.4533654335742444,0.45711028474019066,0.38467815072409034,0.21564311852150217,0.2800250619251159,0.2779312791657938,0.2776978433624879,0.32063385400887884,0.3884182418571273,0.3145896962820082,0.3096385910574581,0.4302919711494782,0.34565939510120997,0.3707722033421425,0.3998142271175479,0.45197144894323027,0.4429874244773976,0.44657061845547175,0.5920142964307621,0.5908607559202317,0.5642550067118072,0.5045569460631357,0.4526234054281209,0.38626661296052367,0.34067648727942756,0.37376829297484354,0.34021279682831906,0.3782899922781609,0.3701735587829096,0.40569870863563756,0.39351935383567616,0.3497320706603375,0.36201718895931595,0.3546335522581794,0.3714744196497753,0.3621231907767202,0.36474155606819375,0.48013113172006644,0.48982895170772783,0.4754970016178613,0.48008503641375233,0.7792594321644661,1.0337944276809576,0.8774598170312623,0.5427522380937256,0.9545619511256668,1.3780397770957085,0.7441614243010621,1.05597740613004,0.8153858861841581,0.8257078262258652,1.4747725179043447,0.7749173735821249,0.847444254567531,0.7551468350863972,0.7016639712336444,1.2253563029441157,0.7150983757782006,0.5666522941426096,0.4782357356616551,0.6788239064433241,0.5324417013595661,0.44770237164676524,0.7112595740596029,0.5645383368654858,0.6415541216091191,0.613536214200502,0.862843883146655,1.0688706487829642,0.8275950065023246,0.8208574459140435,0.5378806276866396,0.9428435631007268,0.45596019931727483,0.4172066387872954,0.39073894619735494,0.43945927908974153,0.4433710006157536,0.5396011743970465,1.1386464969353713,0.43226995415536584,0.44305115549543533,0.3856127848453516,0.39705524131954384,0.49662038251719465,0.37230157031986527,0.410678378722126,0.43565703846420445,0.6392507772636759,0.4787831533156922,0.4040709923655352,0.4027145605758126,0.4638054386830233,0.479117116674111,0.40288434001996953,0.39896461661098426,0.5943811236621062,0.42979627424017747,0.5729030550652718,0.3746293550563869,0.4382884911788179,0.4481759026530318,0.4923998508217583,0.6795595896867841,0.4131976192965905,0.43153338679979253,0.7621408942210639,0.36242326342053865,0.27250738994948637,0.21669045823114208,0.29952196402733006,0.268041983800982,0.3068150017972775,0.4108953003748776,0.3374509120177437,0.4341641024257472,0.44052049699140305,0.4129452908792505,0.3628234987004221,0.32204510081311216,0.2730428359518061,0.2571893810343794,0.302745084268528,0.3598395677849711,0.3028479400093766,0.2801458944419847,0.3605528006012823,0.354620646165138,0.4033787847460659,0.33197700685168735,0.45639878787426963,0.3841631167847284,0.44094606194658015,0.6851414523729548,0.3492002332425648,0.3593777350499677,0.2909536469999446,0.4913197253418642,0.48001842064918177,0.4046053652424808,0.2908334604131859,0.3060140270996089,0.34576729376703,0.27592294074366036,0.32497573553888615,0.2574992937374363,0.3371633217868479,0.4071409290654656,0.4844991288530288,0.7767118338457161,1.5964574864748668,1.0902564739600002,0.5278910669138314,0.36331827020839147,0.4029962704214773,0.3430125524627104,0.3799915832903434,0.3003995535063337,0.32822115496174087,0.2943393461636632,0.3215999671742095,0.34249965333335863,0.5049439573401713,0.4597957388384738,0.6385267892165518,0.7209868634659061,0.7261274942866482,0.48572006735639905,0.32952253080740757,0.3211010404167679,0.3036918073757397,0.27259034796519505,0.3436129999184278,0.3931820029611665,0.6039076203484065,0.34344707832392524,0.4083848820375581,0.37215822206182253,0.34468705498086993,0.36808561333145445,0.3739689704263212,0.39593548497901876,0.40535925097869474,0.4541154464386413,0.5156781298504254,1.384137045524315,1.9034851518094904,2.441319529531672,1.0008380423644285,0.7693953744971822,1.0189330423503267,0.622609506898716,0.44081608723528726,0.5794527653177766,0.4137484537589385,0.4481598475875286,0.5317968084674298,0.40564697806625855,0.5212577203688054,0.4236211350075463,0.4109282152701834,0.46090421874227616,0.5323522275909633,0.6124742054243342,0.46520863851925354,0.666706182258922,0.5537265908211613,0.5440246099709557,0.6141359014437214,0.7433482771799124,0.7491585481292844,0.720391610063754,0.7106567600166184,0.8428498830372131,0.7262497448148423,0.5822133566725172,0.5792868411724588,0.6413697372254992,1.876217039163978,0.9232814911292853,1.2479521078915354,0.7019680562632745,0.7125530779809864,0.8018580062665941,0.7511709552639365,0.6314355764340234,0.4951100545431174,0.6677761861988424,0.5593499338290995,0.6897574339183065,0.4828532140384397,0.8710069244552467,0.6273606438129051,0.7330916217061072,0.8786930058611379,0.49366840838082987,0.5088807939612379,0.5806506965573802,0.7426608644596173,0.9690318523913278,1.092033168260426,1.2038887937481013,0.9368412334837724,0.9269343905161089,1.2044414779344652,1.0378950810361134,0.8742830704847945,1.14454613717081,1.281978468594298,0.9833945194078527,0.9723057057487781,1.185245529595084,1.1669813709351604,0.8710780153206861,0.9173167549673406,0.7565697148733311,0.7480353625074734,0.7451000423023452,0.6451737870725452,0.6489916193631424,0.5394794258860841,0.5205212098249441,0.4986636615346398,0.5505626423955391,0.4896350631998274,0.5146006184190336,0.7116459799249888,0.7375442436572344,0.6820146559927465,0.7737110563494641,1.054360719199634,1.0627040083816617,1.1303510414780087,1.3276043584226211,1.53829599229385,1.0936154125309574,1.0510094206453406,0.7401752021140415,0.6905627353171608,1.244043891330927,1.2564804318010159,1.444036610847978,1.598865781447441,0.9480530967058832,0.7208586949158973,0.4657601756429734,0.41362514009919626,0.4915262941375842,0.4580710882598071,0.6028307672778045,1.4201414738443974,0.4963342457303361,0.6569812709226922,0.716240272265889,0.8724065420667211,0.7952725110298696,1.0133114519855768,1.781191053863821,2.529130586938841,2.8757642293953762,3.8649350124011286],[0.8415605953902553,0.5777575415700175,0.5740380263049352,0.4642977658036219,0.46920172319088715,0.4009216955768218,0.21657652154429324,0.3833757765962339,0.32405906948373114,0.32100853297195125,0.3639257273314457,0.442456612572933,0.3638967704690398,0.3330880215808775,0.4730889464316574,0.40557129813044673,0.4046703355915575,0.3980919819691949,0.41721119620801506,0.4301946528999373,0.41313441384809746,0.5711560986929952,0.5518863606062817,0.533008864169624,0.4860742711732695,0.4240001854493665,0.37262532030581946,0.3577470080479448,0.3876948948073181,0.3856508459293414,0.4381862721141696,0.4405318705699046,0.4905772167128135,0.4630971148820098,0.428241953694825,0.4017061432686636,0.4137569279636038,0.40413765642338206,0.37255707427477686,0.3857548665042623,0.4274288631923706,0.45273705516885243,0.441013700502244,0.45959914491121906,0.7496868935766843,1.0145431676173986,0.8387541654098661,0.5121881017206382,0.9079305111836974,1.3823987582250423,0.7463106015401728,1.0799517976708919,0.8012135324201966,0.8328988455320914,1.5062803440147583,0.7635391756738545,0.841419052956516,0.7408669585403581,0.7325022621173352,1.1332567679234147,0.6832222496932593,0.5840828706165219,0.4910527575762606,0.6477398303655805,0.5033282914964399,0.4324380103244264,0.6781538720900556,0.5610629080100801,0.6058470855478348,0.6137053153028805,0.845207787349072,1.052739813895205,0.8331085955357314,0.7962684259531924,0.5524776946988654,0.923234067212417,0.4660973175417385,0.4655715368859381,0.45208191311263096,0.48045466439327733,0.509663828334752,0.5731105242853185,1.1489807439266995,0.495228770323648,0.42304124904857676,0.4178517536827074,0.44264319416888315,0.5615347026833495,0.4065281386397986,0.46891855548622274,0.45152606793669425,0.6496573708683265,0.5205777951075085,0.47135995880265363,0.46254153443172863,0.5192406188098552,0.5228189315629272,0.4791364899589949,0.48218162691451016,0.6764098799070194,0.5147465918442462,0.6574397807769449,0.4582675468610525,0.5495062927344453,0.5537799327563253,0.5809174183869562,0.8219413644281035,0.49667517566523706,0.5279035848197238,0.8308522755910084,0.473714654338625,0.343144110906351,0.2619695623822503,0.31905725864136336,0.3146466486154176,0.31844516578748666,0.44687367989032317,0.3389717906008581,0.3978501810649853,0.434769872386865,0.39333199185170326,0.3563922366284024,0.324120491972131,0.28473491250708927,0.28844674775211737,0.31575426270686985,0.36851110500445267,0.34399883163160366,0.34061836286887165,0.42961089546962833,0.3842059687679127,0.47624273646565507,0.36976343401146045,0.5121290288549215,0.4185047665256848,0.4553930876717765,0.6863862745300606,0.36059699004816576,0.41992246286545687,0.32724542260428297,0.48092150924177024,0.4483020064738154,0.3945904953013248,0.3056927151101653,0.3224003093800572,0.35285964921391655,0.30499829345947677,0.35961474627658885,0.3253222417776774,0.3753872148484176,0.4954132570801646,0.5448321976640944,0.8974932591976945,1.5748954755584312,1.0405475624246363,0.6162217386295094,0.4549215492992275,0.5143870232527497,0.4261148003552638,0.4935225269034522,0.36291209132822466,0.38593607413463493,0.3274445598206799,0.3238983931368923,0.3728807256854836,0.5395145504608905,0.429399289090353,0.5985025040636001,0.6982779352672951,0.696734475319731,0.4677345350068278,0.33668288302533766,0.35724393925559006,0.36948497973125977,0.353247795328423,0.4328451255657752,0.45635375312434256,0.6887568827479132,0.41714263737819507,0.4687794307854638,0.4565989608246701,0.4348103213528461,0.44640071482184374,0.43255791734677174,0.42883424948674137,0.4402656822598666,0.45665061876107294,0.46753446539172905,1.552104978584653,1.8288909990890367,2.384202602722729,0.9847877277874285,0.7547876184085018,0.9482891877278032,0.5738886924497587,0.4563856573602493,0.6103474880650268,0.40640278735777907,0.4480586604983087,0.5400834371851043,0.4585525168122399,0.5897671600332317,0.46310504005096687,0.4556669351860882,0.5357932063566457,0.5842144111426344,0.6714309233513927,0.5199930402841579,0.7218478211157455,0.5826178731030857,0.6057962230090788,0.6443687391105807,0.7583255037881034,0.7817182613213071,0.7549875543897061,0.7720425354357334,0.8704955323148066,0.7988353416718211,0.6558609877394778,0.6246666751777176,0.7048262614634363,1.929374293275354,0.9361883656761013,1.3325168477608829,0.7756673405411617,0.8009462948782518,0.8997263644703569,0.8350906762932306,0.7155196089929974,0.5676374557011094,0.7527819984453852,0.5809843222605593,0.7023320291192807,0.528447108984558,0.9237716625639391,0.593555406237678,0.7483770982081465,0.8246845015451152,0.5010403577768717,0.5562282662387271,0.6430620465851387,0.8219666326490895,1.0622716689343585,1.1991516239868505,1.2962449381463648,1.0432214659782812,1.0323721961119847,1.3206678621541446,1.1490202952682125,0.9654003167809466,1.2502586147022832,1.3899121080271102,1.0637157083221032,1.0518811474654794,1.2662478037625944,1.2259177060310404,0.9205684432444691,0.9786057439168429,0.8211413255259359,0.8244574992563997,0.8259084575996556,0.7286149247508139,0.715589730302971,0.6039973924138511,0.6003233495514967,0.5609865543860235,0.601134336336233,0.5413069249896003,0.5571264037779755,0.7424202756413524,0.7717497806360063,0.7030315714659482,0.7862630551632066,1.0844423280903588,1.0907085965154544,1.1893579618173324,1.3618541704774731,1.6006152556457693,1.1889921063533515,1.2006841832917305,0.8490809653984239,0.8666354901595547,1.4636791954820207,1.4299802257784135,1.5527645288655658,1.6519230936934608,0.9730694559536422,0.7785521191094561,0.4903785110037156,0.4252757700737805,0.5070144013910417,0.5326583133826504,0.6793365471513337,1.4756900145460805,0.554055685081347,0.6822372603128547,0.7534069553543457,0.9778479624658727,0.8017963668240696,1.056211473063827,1.733517946770282,2.4900966862388603,2.7304198087153244,3.510360062844707],[0.9696443450872675,0.6909171901290799,0.7835825288297503,0.570373548065494,0.5834928236405417,0.5107410693641051,0.3781721972809147,0.4752881596650616,0.37158497023373394,0.3838290935265364,0.41154395484473355,0.47182625362916686,0.4153226931706111,0.39860440147371595,0.551446040121115,0.4612674883057928,0.45871551149780854,0.49006178828261926,0.5304699562122814,0.5324830887370914,0.5460347384389712,0.6821830805817796,0.6684068682740659,0.6349231960659648,0.584765051426927,0.5536297761061334,0.5031820173186177,0.4726680379603402,0.4823090762795571,0.459095355502119,0.49750133761083526,0.5141958300639091,0.5678025794887748,0.5297600292670466,0.4911586957352384,0.47822489308176935,0.48704556444481995,0.4846086020187656,0.467326180250505,0.47934648240386296,0.5253910552801607,0.5393537366080552,0.5352881179655261,0.5478138655309964,0.7812227609039701,1.040402329290531,0.854373561571571,0.6108203879510362,0.9805330066276012,1.4218406818337048,0.8002645254247485,1.1490589640220956,0.8591606564265223,0.9380814054158639,1.5646501800535868,0.7887271020563686,0.8617188483502989,0.777391160840742,0.7881979486398151,1.0897972366649862,0.7190707500794518,0.6397546127787263,0.5724924256661093,0.7456544074663879,0.6009755052711743,0.531559844377894,0.7679352626919784,0.6518598123937535,0.7032194099870467,0.6899468547618341,0.9107497471554618,1.1408717013021474,0.9234472215522581,0.8986221445757716,0.638261239814345,1.0015076313857247,0.5476598876369013,0.5290405750540736,0.5179687299040735,0.5583682803705693,0.5979437333998971,0.6313635171127439,1.224154038960306,0.5972935943176805,0.5228249419734786,0.515605502929339,0.5287014564743877,0.617594203878779,0.47294415446193144,0.5366133547973065,0.5264295312227293,0.7029379679183994,0.5681645103480545,0.5372700710529501,0.5201284031396319,0.5754891337008966,0.5399135410272556,0.54404323747232,0.5593754150692275,0.8187598725895118,0.603458755339463,0.7461801850571662,0.5529513024737368,0.6552909529676174,0.6478326170462646,0.6789088601296139,0.9130873748728722,0.5838622929758899,0.598633746705683,0.8915440786847234,0.5427771403433782,0.4331150977469076,0.37395591098226644,0.42781245329757667,0.43242970434658085,0.45783121234651053,0.5605618045147143,0.47382528722055417,0.4991953813052196,0.5177552701661267,0.520107238922185,0.4717828736983179,0.4819406525514128,0.4544471281747908,0.472560914923639,0.4881876053735601,0.4683689806184978,0.4707890617011853,0.45793630350646675,0.51828369292143,0.48884294466807326,0.57196790405436,0.47149427009435946,0.6120158834366134,0.5011559832295247,0.5307565891034465,0.7561479605113804,0.4960279265155934,0.5369922401448876,0.4447623821780745,0.584484367740718,0.5520793335459454,0.5287433421437581,0.42319815076393597,0.4355892178771038,0.46143680285377764,0.4175653778366713,0.45442646380581664,0.4223452577046726,0.4667416726263955,0.5568719191871038,0.623361980638371,1.0510432130339091,1.824659944866763,1.1809511895556684,0.7489003194334154,0.5417213406765531,0.6226416021686015,0.5161751360686135,0.5876312744236658,0.4710480105787808,0.4931384964716734,0.44235424792682027,0.4436169950428651,0.48565950101793665,0.613800346246656,0.5349853504571236,0.6516075542979937,0.7358235018511814,0.7450027230074221,0.5589951151695561,0.4599258705265836,0.4768997844722741,0.4705391482710372,0.4608606292162508,0.5246242733985893,0.5369603063954572,0.7873941747895677,0.5130417507087891,0.5802609524842115,0.5520649590121682,0.537775770956062,0.547973540881365,0.5209852776189656,0.5127278454503466,0.5332680416501259,0.5945833595788355,0.5485272546848253,1.5858853514392977,1.8311400479022575,2.3905156560375573,1.0820628603899476,0.783793538342427,0.9776916778261526,0.6555753198814493,0.5560759315267639,0.7177705723474962,0.5028799664543238,0.5393152127720212,0.5982143855039863,0.539602938605511,0.6496111918684692,0.531138353007649,0.5466867998198338,0.5975637944429633,0.6091728005847539,0.7708362939994239,0.6070227079725823,0.7268521625046822,0.6316576865625452,0.7224792747570519,0.6917968074193763,0.7426977300647007,0.890604774168262,0.8856529148835736,0.9089501689719403,0.9147802350602802,0.9148818713725718,0.7708741561253922,0.6977577847102153,0.7978041095402475,2.018840630110533,0.9421817947804109,1.397311996077615,0.8373260913238812,0.8853084550857238,0.9850471205449357,0.9359887713087308,0.7972686451105236,0.6419919666547257,0.8356445005107784,0.6459568961282434,0.7425665097196072,0.6052506751464205,0.9813467430399501,0.6516695572389076,0.823785399353273,0.8561110997112853,0.5748208954471282,0.6358230525625103,0.7235169927006612,0.9002368026454309,1.1479083347701398,1.3059528637321711,1.3853140506409758,1.1223949094846086,1.1160549212550648,1.424608947595657,1.2283937144505022,0.9997591662125982,1.2969488521894883,1.4138504633967481,1.0465790630085157,1.0672380277178144,1.2787495067043069,1.1629255528394997,0.9161879791437396,1.0003347726025695,0.8573121057957926,0.871437231440805,0.8656582428206793,0.7920179263338253,0.7744991086015348,0.6629930730657481,0.6688999613783196,0.6417989192788022,0.6871195309151837,0.6302516541445949,0.6373035912655669,0.8350668883879069,0.8664994414139552,0.7679935971742966,0.8544667614812578,1.1566771653873165,1.1702341843890285,1.2804741358239857,1.4325996283206393,1.679650192862008,1.320450686382215,1.365125478405967,0.9887794999180852,1.0567434993985094,1.6506383416901123,1.5749630022726484,1.6662686793986723,1.720120796172673,1.033560387675468,0.8666684319722594,0.5842574546328222,0.5250401227647336,0.5817706084894557,0.568276311289039,0.6762670171932256,1.4585012949633198,0.5733650806070857,0.6454301799644989,0.7317014474033029,0.9383576168725191,0.7770909065843535,1.212174446347292,1.931676246258516,2.472869082948189,3.0105516054479016,3.7899767823635866],[1.0110529995576696,0.774291389122171,1.011498118155632,0.6706705537028946,0.7436553449561042,0.5927397408781105,0.4987191067258423,0.6381932571388459,0.3992655122228646,0.36961787716809763,0.41006086812134834,0.5004296269853943,0.46313659558209025,0.3560198685108061,0.5285084377921678,0.4802908809725378,0.47978949549852534,0.451002693773876,0.44807921634961784,0.49837893072556305,0.479808183220034,0.6123572676086627,0.6211234751649866,0.5970481637303284,0.5718563750923931,0.5005583339030713,0.4998764551543568,0.48962503739776436,0.519907484359011,0.5381099874887607,0.5148122246892499,0.609884518288342,0.6351878400340782,0.5914026950315621,0.5826693946384149,0.5377613011819058,0.5974193281568223,0.5611461492678449,0.5468820514044167,0.6229039233342879,0.5300926187242221,0.48309295245699074,0.5222895063924453,0.5234091991555287,0.7483273522008148,1.0660271907622494,0.8416349283844669,0.5633114191411592,0.9692631682410103,1.4553079910187436,0.955723544616956,1.3993395793290992,1.018609123584256,1.0938105178193376,1.6215335488583054,0.8386083256360305,0.8902015871028058,0.7986126098571462,0.8783353806333228,1.0159392885866283,0.7834482344631437,0.7177270120506803,0.6077295850607886,0.7318935218423117,0.5712034766090727,0.5471452119446487,0.725750911883225,0.6025938591297427,0.6091508720352257,0.6282476722537801,0.8620502954872046,1.1118676022080345,0.8697235076800515,0.7980839224491207,0.6352372051321581,1.022375365335975,0.5611375314299083,0.5591032915788667,0.5807080620787581,0.6377696091965872,0.6658217532283165,0.7523171152529858,1.3029920212866166,0.8043394937261524,0.6452031562334503,0.6123775928824828,0.6024395023993295,0.7330465912020154,0.5587653054030611,0.6237619266630332,0.551725504809423,0.7177797623025137,0.5691434652658984,0.5661405946493631,0.5282320088545043,0.5859697269321773,0.539268917189555,0.5855434393447404,0.6210703092224669,0.849127378772765,0.7122399540477828,0.9082663704996347,0.7426583795534171,0.8730260560196271,0.9183903444983412,0.9557808200221655,1.2015249860044706,0.8827456423715246,0.8749204316388356,1.0889372654253024,0.8212282976837518,0.6706892134270829,0.5664903888047932,0.5670132306428027,0.46534921800883555,0.4785728003603231,0.5388923871114772,0.43037526891819583,0.4547830986823203,0.5028124159040213,0.4248885349723713,0.3965332025710509,0.41089263347307536,0.43676713958919644,0.47223951646149204,0.5386124167955796,0.6149819342843742,0.6586883104966476,0.7261987226705389,0.8076765850159949,0.7592480181136344,0.8677901259511501,0.7534107580716831,0.8782382538617801,0.7320431119339762,0.7076969857585225,0.8515664071240991,0.6407025181087063,0.620397051930612,0.5280881292389112,0.5665595712560313,0.5331361442882879,0.52151643143775,0.49423707818602003,0.498773016513251,0.4917113202914627,0.49444411978620245,0.5503072914301209,0.5821757113191434,0.5877103448110489,0.7381625463092728,0.7149364408627107,1.1386522620636,1.6289986289929606,1.0325786714246012,0.8140293870923022,0.6681314980634402,0.8013493366331642,0.6752573934049623,0.7737411022357977,0.6487918427551749,0.6256005101659392,0.569309569816139,0.5723180754293508,0.6682294802620271,0.7009127426871968,0.6749543648124422,0.7633698548157796,0.8726119659442108,0.8351859116724927,0.7045191132609961,0.628044642232831,0.6893516274817656,0.6732090420293458,0.6596682876971645,0.7634971936652942,0.7244282429839505,0.9817498260325151,0.7238606142318552,0.8135722322624299,0.7759752296772502,0.7821230268813595,0.805413485929416,0.7633454744739896,0.7024253871663307,0.6792246555482605,0.760049240024044,0.6271984391549481,1.7207445324588955,1.750707207654328,2.2544261139349406,1.2400132112476956,0.9344068018375165,1.0369979514543306,0.8485117038718043,0.8031727536023716,0.8893616702238488,0.7585680710608764,0.7758324132749962,0.8355847263181048,0.7917191094504493,0.8884207307752503,0.785505445759309,0.7476284653942922,0.8055207966073615,0.8000709591880492,0.9007185896844531,0.7541254781296314,0.861662499050126,0.7577698732984308,0.8479483858652025,0.7752665356243298,0.7988303207889311,1.0215140681858252,1.0094360597663992,1.0493204986750693,0.9987630162944952,0.996446699463622,0.8582768610005201,0.7835180654584353,0.894824390777424,2.118694050681403,1.0546457364734918,1.5475824112670673,1.0165654577335606,1.0825704154837887,1.2038344331207325,1.1576979670555347,0.9953088483108998,0.8574470125126705,1.0817290174826026,0.8572280813042985,0.8470667694070674,0.8315810697144963,1.1833268187210433,0.8147216737155298,1.005169191589775,0.9835982266677592,0.7982817296136077,0.8870697264155388,0.9932058729696475,1.1312120530339833,1.387632973783214,1.520755688793554,1.5882834459410973,1.3697436931833777,1.3347879272054313,1.6325139724348192,1.4594818796986837,1.1988568404920286,1.468171348744677,1.5794396086634692,1.1915227172829284,1.200590699778156,1.393036724044809,1.233595168064543,0.9843679236851289,1.0804670735499693,0.9462241727598024,1.0142045330556393,1.0440291349947244,0.9799525807743565,0.906335601560342,0.8022896641742753,0.8555758904496098,0.778425404521308,0.7914709978439576,0.771242097661128,0.7797442607660218,0.873442889917955,0.9242694212721773,0.8878572314552187,0.9209093023414485,1.1982463373560988,1.2184136714956186,1.3278684199818065,1.440307271814106,1.6893980088997744,1.3819888828150761,1.4717425001683284,1.102652475580721,1.2357611736817014,1.8202870423266724,1.6822727857394486,1.7120450700100176,1.729164434430174,1.0981648424901498,1.0312635795240515,0.819352654174058,0.732603139552628,0.7904495589687299,0.8346961090226938,0.9028650679457778,1.5618984255800372,0.8315532951328988,0.8109498270281585,0.8546745794751864,1.2077386985938354,0.8634888500067934,1.3162718567467335,1.9100962172042597,2.3895612660226155,2.8222160104045635,3.291924277929616],[1.2314226286299301,0.9829980961201942,1.1703523846786332,0.7477922487589592,0.8312362817783527,0.6577024888723106,0.5467946656704918,0.7690393633818332,0.44206358206204116,0.3961638094594641,0.47317363620271324,0.6244292955579465,0.5419009102312626,0.4033547478859773,0.6453284057923804,0.6170515056729533,0.5840547707215019,0.5671355320167693,0.5437977663408459,0.604813587641667,0.5857313283300736,0.6977757591514051,0.679895995501474,0.6463941466510631,0.5884578965920952,0.53502336781831,0.5592720703062358,0.524312151926714,0.5999219259838652,0.6812902073966086,0.6949488450912484,0.7853027536617166,0.8688492288449287,0.8041628693122275,0.7776483250337237,0.6934653955232188,0.7595280749535498,0.6720080935009122,0.6504663045661688,0.756890568639376,0.6147571345032798,0.6024925467738396,0.6527448137782857,0.6428543565313612,0.7862644281689297,1.0219825460385412,0.8309360440395749,0.6563900033534144,1.0079599398083967,1.4151633703432156,1.011836227399928,1.4392211920505527,1.1614867884502134,1.2379998334029465,1.699403674221864,0.9673998765765299,1.045778460316349,0.9147136356805233,0.9819592610728548,1.1605951775943546,0.9508546859324657,0.9027119224885036,0.8183791635954946,0.9186025964683089,0.6881022793994416,0.6839371603794083,0.8367870480445625,0.7602602319952039,0.7336367079682031,0.7636074306345578,0.9912694181198176,1.2578832559154354,1.0430058669219258,0.9549603122310005,0.7720195121625447,1.1438288953973497,0.7196608550824182,0.8146451800856411,0.7935072056626984,0.7665464073530909,0.827331884473549,0.918597523259573,1.458662439563751,1.0131296901381328,0.775477952532346,0.7587516911227749,0.7598396784468662,0.9101723754302773,0.7155986601620536,0.8207464428833442,0.7568911240626051,0.8800988780393219,0.8039659789758896,0.7911447450495468,0.7355511129759187,0.8122138208856603,0.7439892767712377,0.781168062901413,0.8067687173521602,1.0544792137442518,0.913421655953332,1.1449944239515586,0.9671230129218022,1.099178478751057,1.1273877466028261,1.1482730132506909,1.4012111890929333,1.0968080490944152,1.073831124338142,1.220317619401813,0.9709858709214237,0.7863908742677795,0.6619780269989645,0.6285260492827642,0.4877425498640866,0.47358961438409325,0.5020830334936984,0.42525006520608755,0.46717260571614333,0.5394127337846831,0.45070406853560085,0.4294190569013143,0.3947780030497332,0.4227762719911792,0.4890665284046869,0.564393945576115,0.6958192311932654,0.7565122379659224,0.8559266087979364,0.9594327781953359,0.9096729162489517,1.0363570770079296,0.9047368497205344,1.0582796005410327,0.8461908685303324,0.7702335283236683,0.9072097764573311,0.6773768890993306,0.6336654593386161,0.5534468640333103,0.5668513988354288,0.5387426626625861,0.5325585776457616,0.5069778082313711,0.5459204337099635,0.5569687914640304,0.5510413419789487,0.6350634600863121,0.7042519119057927,0.6744742501275702,0.8984242750493094,0.89945309731631,1.4412505735517884,1.9420701513246594,1.241359377164478,1.0715303803683471,0.8463048947241225,0.9896674790034683,0.8434934188449988,0.9128712673936544,0.7767316367659765,0.7334178568123747,0.6340693624215165,0.6636342596321892,0.7477585422082255,0.7228494428139278,0.7192494554848043,0.7735879475476973,0.8926554092775733,0.8351848433208727,0.7494543737637072,0.6688346913622631,0.7701909454222942,0.7993335857913924,0.8033481791748899,0.9462931877784441,0.877454678073576,1.149968083827657,0.8865545804898063,0.9776862967912023,0.9066222869687254,0.9483706872897903,0.9694972322061328,0.9321991808376464,0.842034479286505,0.8221459145912846,0.8604002336884298,0.7511498856574499,1.641119754891459,1.6998591928763798,2.2049187632788376,1.4024220737604538,1.0003174986326542,1.1107564436180808,0.9996440912956288,0.9695352539286077,1.0254729934371591,0.9615410783400998,0.9817093218465359,1.0432802360557238,1.0672271907530295,1.1553875468171355,1.0273030911705923,0.9949017706384152,1.1045657534411297,1.0618189479155058,1.0912904460723147,1.0270098543997002,1.146032956270461,1.033888940508314,1.1156539738288673,1.092144254169635,1.101711032825592,1.2648459268595624,1.3078483655355573,1.305771134985004,1.234024882169429,1.2104710041010667,1.1126640353213357,1.080042455583838,1.1998578840518022,2.34005540123886,1.3389363380077037,1.7974667463204177,1.3491560101260944,1.440987461894413,1.5292776722857349,1.5060067193408815,1.322431617957201,1.1707205479833114,1.3729337444025822,1.1789743887065673,1.0858744982613395,1.0875731488004687,1.4186129814086026,1.0339398132885105,1.2168862010093908,1.1372741471293608,1.0286082236384193,1.1329219350266664,1.2840923795348713,1.4118751242892362,1.6732063731973588,1.8305703274052936,1.878882011156332,1.628720022786583,1.651936529112248,1.9506409737076584,1.7130690239625221,1.4585899596940908,1.7172860306597277,1.7735081677845967,1.4032371552738827,1.4616809624299754,1.6095572065950559,1.3926341114853384,1.2547888946384984,1.3693597107119764,1.2484059547213322,1.3426412633306166,1.3584652788497784,1.3265193636625348,1.2414355164057145,1.1195123822101958,1.1838958167748763,1.1078992667765142,1.096953403911735,1.0529724252494062,1.0850473998622772,1.1188382731499682,1.1228072281267225,1.1006737169696694,1.1294706193543917,1.344312020656678,1.3486087783004324,1.4390411646480168,1.5411575522389178,1.7696306241855835,1.5151928427736086,1.595995122041501,1.2683958478181834,1.391433427403124,1.914245517178779,1.7618791798078015,1.7827829413536158,1.788420921286393,1.2228503824474801,1.1649832811511969,0.9981746002888457,0.8551012843006478,0.9784964965637498,1.0688479894154477,1.1837270784118488,1.6993971176310947,1.0307297977704397,1.0898399741795708,1.2137697347688152,1.3069959860071183,1.0435183129565515,1.6912899958781444,2.1319722882022654,2.410344526442648,3.4441404759609475,4.081060379310711],[1.0549472178491712,0.7645333045623034,0.8684584851211644,0.5690468781257114,0.5897192241741521,0.4631583696018104,0.3388519462248608,0.49305532197116564,0.37192863520271147,0.4452622231442053,0.5379197528126803,0.5826093206003341,0.5261534735116715,0.5443269884582894,0.7490448291076799,0.6436546558132399,0.6210180314717035,0.6550985768929362,0.6950967773572213,0.666821825848342,0.6852486000296844,0.7793477443991234,0.7768588306823514,0.7293468082331276,0.6509962095076242,0.6422493947747285,0.5849347165753874,0.535889781614615,0.5850726081832206,0.6067308277788083,0.7040047116381632,0.6812674747894178,0.7589738952221489,0.7269983212501885,0.6817364017923917,0.6475621849166934,0.6407852565714959,0.5993866065242459,0.5494992468906964,0.5789578724219049,0.6054777631068744,0.665744545161952,0.6908840580826274,0.6767756026760883,0.7947447284716376,0.9377074742363292,0.7950621699060152,0.7056689216189417,0.9731432202496684,1.3382141945958186,0.862223406000993,1.113650591766719,0.9797388573714411,1.0655275520333367,1.6109285037551893,0.9119400491188067,1.0364781299836132,0.8592271807755602,0.8978695640978638,1.191456299557186,0.8780576832727316,0.8255690494979817,0.7804380154190138,0.9209677955779578,0.7447214253661357,0.6908005815341433,0.9115221145105096,0.8355367672199744,0.854465981309824,0.8625399871223604,1.0969420544306459,1.3207811582371236,1.1147583983925828,1.0488720315505307,0.8032426140803182,1.152918820687208,0.7240370213559424,0.7699946428477024,0.7215076189434365,0.7206538787827368,0.7612014607273423,0.7725221290313136,1.3372922803980947,0.70609820736576,0.6053503195082718,0.653527851029323,0.6721315445765388,0.7473410871775406,0.6432983357102343,0.7312327920260051,0.7357107239570416,0.8710644062780266,0.796844430964942,0.7679445044825776,0.7410498801116159,0.8142553363224471,0.7606015067059587,0.7357129952910443,0.7165810990495607,0.9460825079110787,0.7350533920371518,0.8298917856010082,0.6838308674510873,0.764776569630761,0.7478322344621824,0.7542831011650092,0.992546888083346,0.6499067326693703,0.6469867425835725,0.8878083357750197,0.5735623314496024,0.4542112399736714,0.39335987267058625,0.4616046838812851,0.4552316020042669,0.4628658695971706,0.5348759884086729,0.5151331852303009,0.6197640996336592,0.6301052258211496,0.6054744421915684,0.557641406209169,0.5031912653075817,0.4451928987116258,0.4348075511614266,0.3805014906239195,0.42785504262955537,0.4547835059397494,0.46671595858787857,0.5644071976737193,0.5059285901346149,0.6074555121405862,0.5069245526910731,0.6791075258526373,0.5194443150952547,0.49928385331344904,0.6596993738820535,0.4622147734266314,0.5313236198362149,0.46274410549841277,0.6113629905832346,0.5827764886478131,0.5469259036419346,0.48512433525204246,0.49965438465172224,0.5099283894916081,0.46399066879505485,0.48529478191947745,0.4890365769677972,0.49573530551596157,0.6054188346610654,0.6753969116841556,1.1918581702742839,2.0150382303828,1.286499857352825,0.8676366670236864,0.6458286464964903,0.7026344612178576,0.64283322519016,0.6319141156628588,0.5178098396631515,0.5447141500327352,0.4709663960607383,0.48920312152426354,0.4791680788050646,0.573987584195924,0.4886088147213715,0.5832641079435021,0.6627153462894603,0.6826057951052952,0.5057177111423528,0.4533450809704756,0.48876513014307793,0.5280493348623811,0.5422607059408077,0.641443758943062,0.6389816509583147,0.9119376950763934,0.6199125196608145,0.6670000344881023,0.6153866298097337,0.6078161404822431,0.6080531282248188,0.5413443044604693,0.5414139085037161,0.5927975697606457,0.6476174672322815,0.7040076120314767,1.4768179318427164,1.754573994436273,2.3187688832642603,1.2095725334490417,0.7706210268380684,0.9344800692937753,0.6781634812105347,0.5742023881654836,0.6961151768567303,0.5303676696725228,0.564223087973105,0.634232014223622,0.6119547086252161,0.7093285205949252,0.5807283391985338,0.6066595067821318,0.686113007563605,0.6704663497781895,0.8279774014968942,0.7013208223175361,0.8149964225490486,0.7401984155984693,0.8482055851380926,0.8254319692757347,0.8523691981581386,1.0198359672185722,1.0449695816741382,1.0385016450188838,1.0480561911545179,0.986365996252268,0.8574108879054777,0.814966025082074,0.887765143497684,2.183276742029494,1.0916972948810648,1.5678801821403319,0.9909760526186929,1.0476524675450358,1.1254337170410045,1.0992143706684208,0.9113810441294232,0.7402224268761609,0.9319432807207237,0.7407590624051558,0.7566033842985488,0.6542854360221446,1.0684410659998682,0.6438050941967974,0.8561088704608903,0.8524077952212542,0.6270604558814471,0.712294858018574,0.8375302831653727,0.9974931763042977,1.267906722218717,1.4530408131983092,1.5075842210394366,1.215733304175813,1.249109846802303,1.5659107114510278,1.3143194653223857,1.0809516648617135,1.380661001070464,1.4544987461548888,1.0878073548669074,1.1569908984229038,1.353944171996373,1.176010297738176,1.0095438038444797,1.116735596415153,0.966744544907908,1.0048696424218846,0.9813631530117356,0.9420743603814536,0.8995178715130997,0.7611594851206462,0.7829455696508405,0.7346076980999792,0.7593615713032194,0.6883909304644245,0.7081790204609375,0.8366692446846796,0.8834416819717578,0.7975734330060019,0.8589338529214001,1.1619620523747616,1.1822817822790932,1.3029346567340991,1.4537097824803058,1.7042690873064985,1.364499557921936,1.4191247636242,1.050681593962219,1.154739143060933,1.713648125941455,1.59928372451051,1.6676980191576722,1.708183245533511,1.0478443227601268,0.9264453485579253,0.6069000189084075,0.47463040106045534,0.6060321244848353,0.6226051380120855,0.758702431935629,1.5009649820790574,0.6108727511151424,0.7435418058993739,0.9072811532977888,0.8882876528374914,0.8338331566110319,1.5293887866136477,2.1656967190502834,2.551122741766734,3.477022410797681,4.4286452340086235],[0.9647396480155747,0.6920386385220794,0.7972653321829076,0.5164566643667232,0.5480169064389064,0.4362384772969807,0.32577953037208784,0.513412315652536,0.32652181074468434,0.34530197071429536,0.43919619503150076,0.5209345683589537,0.4479467842881205,0.4082267426895207,0.604790349793233,0.5299955786158087,0.5348623015315271,0.5126699500612829,0.5112852292693498,0.539160473875979,0.5391701848067861,0.6655049352678889,0.6286134015824721,0.609394409946626,0.5475248915441774,0.5119529615113549,0.49164586868664917,0.4615990119134339,0.5026009131650466,0.544438588973802,0.5884587419635477,0.6159314274907414,0.6781444047807126,0.6328741328160772,0.6050534761898237,0.563352122664598,0.5935425516385533,0.546355417089983,0.5110975127395817,0.560439481758857,0.5315096626900851,0.552394168588009,0.584716034912243,0.5986279982233078,0.7308156414158381,0.9198471679394407,0.752044879932866,0.6290069157937314,0.9342167838817561,1.3474224831082604,0.8802153339070826,1.1660188904526212,1.0114445369562781,1.0774625154300863,1.62597787462309,0.8837008872302394,0.9903899408851619,0.8146076146033405,0.8790281230972666,1.1088821203981478,0.8298815926834123,0.7658389952950151,0.6816406435023027,0.8353591789160971,0.6233720861268417,0.5939317765593202,0.7835550330201886,0.692589578108429,0.6578234293541712,0.7013746621078574,0.9316131196143688,1.1739989523688728,0.944691426992962,0.8631998084171206,0.6786728373339006,1.0784712503068603,0.6053621184505442,0.6463715828844896,0.6314243126542879,0.6470759386909761,0.7085955572601519,0.7536981667245701,1.3161707919988632,0.7344938042782615,0.5801486080945649,0.6139335615099706,0.6173211656308822,0.7170907613483123,0.5715489781686055,0.638721680080647,0.6190026427538511,0.7545546526319111,0.6473582368393658,0.6321231735950227,0.6041714450475185,0.6633136405846434,0.6227688304350278,0.631794051770033,0.6439404469407246,0.8872506127092843,0.7029777832617066,0.8400813460815518,0.6823193708299504,0.7796307923051379,0.7704882462541169,0.7685977231086987,0.9922898513290178,0.6496181948931519,0.6459142630120547,0.8800059170405372,0.5676804961451006,0.4819556367626908,0.406526179766943,0.4729764201421167,0.41000658104154525,0.42628931178957497,0.4618317017610538,0.43783004626906413,0.4945638219340015,0.5315359817649172,0.49093501147784757,0.44099746553868685,0.41115787907728873,0.4004195809242783,0.415850639375302,0.3810149711409032,0.46020749136749983,0.4557537142479058,0.4790414334595652,0.5881926653454791,0.5042639996267085,0.5964522748555497,0.5201735663315348,0.7241900153214262,0.5319328888893642,0.5060469439970176,0.6953831959483279,0.485683526122794,0.536572953183453,0.4505130651603262,0.549587731745564,0.5086936252936619,0.47844551013392606,0.4270079336560154,0.4528392389697777,0.45896791326772796,0.4322881971851684,0.4935098595891781,0.4903917309943542,0.4798612887181637,0.6154488795092862,0.6817972963303944,1.1813687849857546,1.9830517117747957,1.2468571829806567,0.8533224335000927,0.6354872850122744,0.7142133380245369,0.6313934358883154,0.6600968819788184,0.5436881779188204,0.5485882487734558,0.4632230981044423,0.47517947775960073,0.504676233024056,0.5721683909742318,0.48603789630896327,0.5784921536221669,0.6600001925055542,0.6768394127516117,0.5171233335580174,0.4665036932739505,0.5078965308955036,0.556384558175346,0.5592783076866488,0.6613881639153526,0.6372041984510016,0.9175003617227074,0.6352489898772322,0.6890758175300893,0.6436583329829353,0.6444514972401076,0.6466753808217303,0.5788237218075127,0.5790233245316425,0.612945399407536,0.6601758630710944,0.6873574781392945,1.54619529448795,1.6906412435650606,2.2776224122555098,1.267247715828153,0.8111056155337439,0.9010813946477412,0.6796206803316126,0.5889089504198461,0.7403797305555819,0.52338205966495,0.5251693687346789,0.5813510185823567,0.5534681482689793,0.6503707022712709,0.5348749966396901,0.5449761415292355,0.5903973346128021,0.5800945192881759,0.8117586817293967,0.6202166152323397,0.6900714840301712,0.6708633675093456,0.7809616339772723,0.732591163042432,0.7682581370532976,0.9951325080412201,0.9884780568469757,0.9872954168612793,1.0098189253810872,0.9043101266177727,0.7724079114730196,0.7191631355678081,0.8349462630561477,2.1973951377371614,1.0150100885435511,1.4755104119335887,0.8936233951951899,0.955749236417702,1.0379126316847012,1.0425673370190771,0.8278055562952281,0.6615375837298642,0.8632482003038932,0.6875671509879155,0.7066524125499236,0.5882174843624933,1.0555907345720357,0.5833218658667416,0.7823120890656644,0.8488057076059229,0.5746252021443332,0.6932029594882028,0.7973980637914664,0.930688641663153,1.2004108323382774,1.3562179601713913,1.4354049919297245,1.1425903498183902,1.1245090972083733,1.434779133899473,1.2107249958319382,0.9644671282691062,1.2249171128681198,1.2895549436497948,0.9245819820294295,0.9911626090037579,1.1719772983692762,0.9994107960158827,0.8534219348381786,0.9401031816033658,0.8175477647716954,0.848825337265475,0.85707004361832,0.8361011974788432,0.7598525128410393,0.6566881381713855,0.690845651852087,0.6369044716960596,0.6622471164736575,0.6107346563005301,0.6283532445983717,0.7532680576344526,0.8057129180420677,0.7087185903964996,0.7866343838843269,1.0671143404475834,1.0843032586588077,1.2159172029805956,1.3486358411673853,1.6199915101272833,1.2459708450372422,1.3192066853136337,0.986499677211158,1.1288728071790888,1.636048594004882,1.4971673669271228,1.5386315071917553,1.5771818931772228,0.9771882300491952,0.8756625189485858,0.5590765844891324,0.47273065743622905,0.5817687411762292,0.5698170686995179,0.672748762967074,1.4968237520314767,0.5496115746183577,0.6695693408831992,0.8656385585716269,0.7890350178475134,0.7893117260863028,1.5330379217041947,2.177244219040234,2.669828741450125,3.637882499380873,4.798443986475431],[0.8905959420630197,0.623883138607441,0.6468173349527521,0.487829571735007,0.48719201028199427,0.41358459918750834,0.28896734094469667,0.4416142487647445,0.2811599656625385,0.2872983494836914,0.36128200806880906,0.4517314435244634,0.37797957114719155,0.3288992974745972,0.5268263077445445,0.44008238009482936,0.4525003024578877,0.43459436341149776,0.44367139576757864,0.47109085474816814,0.46311438226483936,0.6142398403577017,0.5799713255048611,0.5484998599254132,0.49169963855210125,0.44798418789005184,0.41955513427332275,0.39231026470838465,0.4340901412043029,0.44807312439961794,0.48404094790961977,0.5002668634175289,0.5620207488748596,0.5385403310519822,0.5024230055796547,0.47038706189801005,0.4887589575914467,0.46540648906686927,0.42991140090528485,0.47814335720243945,0.4789818060146324,0.502221648924872,0.5140039229664406,0.5409946187422298,0.7161268331045458,0.932895903164987,0.7501939799279258,0.5980213944491583,0.944275065095909,1.3528073656932613,0.8102712803319172,1.0819289768501084,0.88381557139792,0.9552471279828392,1.55039860710369,0.7990388803480353,0.8964905143953943,0.7675009619987122,0.8085135043750941,1.1068088183505203,0.7393284230634559,0.6628051045455138,0.5822686288700804,0.7420434694927728,0.552178341495455,0.5008273655163908,0.7289211788663935,0.6247811519515297,0.6132837941102367,0.6402046230728814,0.8740719663363488,1.1167059609024472,0.8884998936946743,0.8146947987410872,0.6118972352424027,0.9903095434017568,0.5265832693486219,0.5273498530483278,0.5260094402185139,0.557272233829254,0.5950635035864476,0.6317662631589256,1.2470487484355175,0.6259356213012617,0.5106426654098117,0.5240291890727,0.5259097926385748,0.618946338906561,0.47201567076548584,0.5323259515188205,0.5290687460519232,0.6975681607896065,0.5545337416682656,0.5211422924151263,0.5028025134876238,0.5693993155638302,0.5301817772864444,0.528009077181409,0.5401512524938828,0.7499055028967244,0.5871392027747979,0.7128078174960526,0.5248845394364433,0.6131808518215631,0.6027006119658264,0.6293658380786199,0.8321701488567147,0.5250177402775185,0.5268648471420515,0.8380553262992373,0.4638969534466628,0.3922124599978468,0.3119981394015638,0.38751213546527735,0.33834342729831873,0.36074429826248994,0.4085272011825622,0.37407584512371306,0.4287922303327587,0.4653641558361277,0.41180883485725456,0.375424005284244,0.3608405227962946,0.3519008661757604,0.3743540405352614,0.3370695736855164,0.4299914273381715,0.39562740501878085,0.38025964746324786,0.47034217531885814,0.4022780136118038,0.4815201781882922,0.4151864886863505,0.5900701175442246,0.44744063652053134,0.4517919449378428,0.6754349030620992,0.43289427719538714,0.49965494194146215,0.3955554250257668,0.5103160243202177,0.45953294982702314,0.42098127764534193,0.3539713500614662,0.36930878126085204,0.386377550706119,0.3486007232838336,0.40700631578490176,0.40430015414994136,0.4211601633536582,0.5294759281338037,0.6295475483055686,1.0099399732006538,1.8175585739304818,1.202314583663927,0.7067631975327162,0.5298963032462909,0.5850458431302487,0.5138309895307315,0.5572174656121022,0.45148107488013695,0.45755156102763367,0.3834840304779296,0.39504106644969306,0.42811009230715896,0.5417664919144023,0.44999029721683115,0.5548967891489931,0.63578100410941,0.6615705171698218,0.4846182518568303,0.40590971945703314,0.42576105665462105,0.4638548540986318,0.4523739643982774,0.5246407822084078,0.520148679390153,0.7716149435991051,0.5109167664226535,0.5629362175295411,0.5342936012583841,0.5190840397070506,0.5250211092609858,0.47791521546508847,0.4845136693695776,0.525471840124988,0.567155682066501,0.6103452730795654,1.4753843524600565,1.7351273259315958,2.338247110544965,1.1819219245671289,0.7372580178048845,0.9011024067937607,0.6221299499392583,0.48772409512624354,0.6768742339882972,0.42229556462267775,0.42818993180924525,0.5104121344121734,0.4592996522850021,0.5763170301019602,0.44410281378107597,0.4673524302163035,0.5202187653011446,0.5240353939546252,0.743925184701983,0.5461035560600226,0.6495503479814126,0.5931831112246952,0.6685467478719992,0.6577797049003359,0.7155067989721223,0.8744334279687953,0.8462662405784971,0.8401052304902668,0.9001138791969087,0.8025571069324534,0.6903434787260684,0.6487334051313571,0.781040944641398,2.0647324356310524,0.938091699530196,1.3745667597228928,0.8095166986376031,0.865876676756867,0.9318468666311945,0.926772077366759,0.7274479241920305,0.5739658202235985,0.7588101300053969,0.6045987552510663,0.6774189170079432,0.5156759722031552,0.9764761276544034,0.5044412884335736,0.6884074867846132,0.7912917969510096,0.4724219526299508,0.5838113421260169,0.6867589848617099,0.8476912220589649,1.084121052335125,1.2361626194352306,1.3275824580113893,1.0318515979643645,1.017842781588267,1.3189190687323353,1.100351894715073,0.8816678124139052,1.1390947535364493,1.2262425547715434,0.8988319776077366,0.9375271796982664,1.1133419543427745,1.0177890987821154,0.8316875159291744,0.8944287537317374,0.7645822811666537,0.778305376964307,0.7816082665180588,0.7363528926462822,0.6912000741143189,0.5965329998071024,0.6129752010434458,0.5699523472212152,0.613494192740559,0.5475115574373574,0.5607010526485726,0.7204078848306898,0.7565742113232431,0.6479255127767541,0.7459154044632543,1.0034338859015433,1.0281906693871004,1.1457714862423247,1.3004073289582951,1.552135314853436,1.1316445753861113,1.1751658772095048,0.8656094247154007,0.964388785233288,1.4654963754672994,1.364017939502259,1.4388676473304594,1.5117742014004043,0.9249115825953345,0.7918737862370872,0.4685900497978365,0.4033009342964816,0.4888721573419986,0.47676341808498485,0.5995759029153507,1.4236859369327428,0.48517426569238836,0.6064984638732982,0.8014397645730833,0.7487674520615673,0.795522229526765,1.3670405225579552,2.124058298146712,2.81262706601012,3.6135468774269572,4.924019612433203],[0.8081093896659154,0.6069865879725285,0.6888224791235642,0.4922671740136014,0.4973286120897275,0.40525195549075266,0.22867121973951948,0.43889648197472664,0.2695151817793876,0.27187288267873044,0.3501623243800377,0.4601649977059346,0.37664468408546115,0.2999586023785052,0.4782141757298955,0.41447181302974617,0.42007001166596647,0.3799120148785861,0.38143208707959786,0.42580240496750965,0.4029732417333283,0.5420512702593222,0.5431146712008966,0.5316881582940233,0.49291712593256376,0.4192992878009669,0.38979116265903035,0.37607202212525415,0.41927230865033505,0.4411459997146766,0.43600228440369215,0.48026708802064527,0.5233769339484086,0.49928743475669224,0.4802350847803122,0.44150275081452706,0.47374384619549537,0.4485922503614177,0.42085406607921183,0.48316799680965383,0.4418398445555935,0.4284518145321884,0.4366054530830181,0.5006998912135755,0.7335714634024648,0.9849239983727561,0.7799411211276763,0.5294765636119443,0.8815821903038881,1.3839940227722074,0.836338314450568,1.1601417318190603,0.9521745570292157,0.9903021072359907,1.591294999009046,0.8150538620775477,0.8790725544197223,0.7272222009311553,0.7846885616609228,1.041277522760784,0.7109617797734669,0.6467008083176863,0.542100293783868,0.6643657509351524,0.5206181485458954,0.4827166460178485,0.6510102885031018,0.5577594361459408,0.560985880105394,0.5892716273313873,0.8331954807788261,1.042028376008725,0.8112793326413508,0.7313252385066021,0.5758647810463009,0.8982559485244679,0.49371058112232435,0.47853450556173643,0.48376955069249183,0.5643137439661762,0.5825913095820956,0.6617030545286897,1.196281752288436,0.6051248334048255,0.5116390959730617,0.504871720667038,0.4891278581535458,0.625686637733569,0.4716019790726124,0.5312686467764981,0.4648798746860226,0.6291355604564897,0.4998595865343849,0.48616729886193666,0.46883315718036683,0.5245509367900263,0.489270626355147,0.5000924879299686,0.5188492769749988,0.7019104766716955,0.5881344662109054,0.7419636671259683,0.5561758337533965,0.6605568867212586,0.6673417870030494,0.6883547890041182,0.9176360659811541,0.5807491108324818,0.5857893989679228,0.8889729074766466,0.5322230231886343,0.4415230387632067,0.32704123500806215,0.3737875553527782,0.3050467876340557,0.3124107305653343,0.4227261583233222,0.3138625569677223,0.36332171640422095,0.4303440190494954,0.34541442942149186,0.3199533928250312,0.2810396414848938,0.27226123330209734,0.28679858483673515,0.3141206565428408,0.40452692137373114,0.4209723772333005,0.42152774224543715,0.5269968981742782,0.4491112588287491,0.5404921198685403,0.4624140436831441,0.6406651601944896,0.4877902849929737,0.49012719049101555,0.681888233755114,0.43679070196681047,0.4872561798978929,0.38149917787545007,0.4414209113101784,0.39029077630583797,0.37245665694594615,0.3245252009649973,0.3539724672329753,0.3690081410651337,0.3309813837288977,0.40293049985702895,0.39477801045406447,0.4151190589592923,0.5519146480724679,0.5955410003622557,0.9539260382629474,1.4911048814082317,0.9580451204372774,0.6728610031863107,0.5295485704438834,0.6154487496225749,0.5064943424334963,0.6068921100927833,0.45323492397850984,0.45887355752677184,0.3810576272185557,0.39388693852740514,0.4556011984263586,0.5485311213971287,0.4562748699534398,0.5660792452321922,0.6627194546291771,0.6610554721154963,0.4920223428419973,0.41548241311624096,0.45420743195387936,0.4672465649504269,0.4547385084536049,0.5556192330502516,0.5597293598967621,0.8052540053786517,0.5252054515700907,0.5944130224782468,0.5662618938060233,0.5566413199591951,0.5657790565712059,0.5229999747573513,0.509251473294843,0.5306975768207144,0.5945621210927299,0.5789551322262942,1.6676648777902128,1.7158995322154633,2.2989956947241135,1.1311023733287515,0.7584881929188702,0.8913354682052034,0.6363275865632859,0.5296959531376982,0.6896629133741726,0.4594312773136805,0.46431120523361685,0.5397463291502655,0.4925599741312793,0.614463248377376,0.47957948797538186,0.47893386836783347,0.5351654956580415,0.543352303286233,0.7615066458959011,0.5568227590946632,0.6564544422348805,0.6075842502414304,0.689218368350386,0.6633451633872689,0.7300172269256056,0.9137988658067537,0.8628131268396998,0.8669798283232368,0.9023009970700524,0.8175945386103218,0.7045795560118728,0.645142574298593,0.7769152387051019,2.053915591891887,0.9341191795054482,1.3608099815653247,0.8093227552429704,0.8652231037441875,0.9479837373216145,0.933150790890284,0.7469253358011535,0.5883788479005009,0.7823282206229033,0.6173027370677006,0.6971615370631815,0.5439525018650654,0.983600901776135,0.5323610727184156,0.7172184512400525,0.8200959543164404,0.5070132173616136,0.6199344189829361,0.7126761655988824,0.8738749236675072,1.1180151999899526,1.2469345514086465,1.352160498302286,1.0762888967547657,1.0402920978274384,1.324576816210707,1.148076277767565,0.9176334193042557,1.1633509559731834,1.2680683245012565,0.9316521582642495,0.9454120580338252,1.1112717759729083,1.0391811077464015,0.8266107346016306,0.8722771133737827,0.7520706359572383,0.7723651953323972,0.7959458552871558,0.7410555681890868,0.687382397147168,0.599895998512987,0.6154966163000659,0.5756906875233343,0.6217855737261082,0.5616735449825752,0.5699640048227924,0.7470256806465129,0.7800249527985182,0.6633948756365695,0.7669666734338778,1.0014961652934755,1.0369594876570793,1.1631193874252612,1.29845300238798,1.5640692743394662,1.1364203301800158,1.2098779056363211,0.9013087936082294,1.0349135460324441,1.5337495028028427,1.4151262958641169,1.4559675995978172,1.5035720686939698,0.9355543096799458,0.8216752492964723,0.5010162513781808,0.4267615303971882,0.5126784176446395,0.5210408097877246,0.6365034457175736,1.4737419004799903,0.5138065148651807,0.6159451365511591,0.755143876694738,0.8498662580814027,0.8292837868594066,1.272540510406341,1.9967305195489329,2.818417591249416,3.38811611838144,4.420747002284255],[0.7260254885677544,0.49640816244076685,0.4657613903446878,0.4507228473524723,0.43906336971073634,0.3218504380875919,0.15910799928209116,0.31126208008691303,0.266690660539046,0.2825655370591785,0.30200868854112317,0.40693374509415725,0.33259858471878695,0.28956084769836504,0.4103872099271611,0.3593551810769544,0.3815369813728827,0.35456203173897866,0.3728506631262707,0.413243157785427,0.39356424281492014,0.534290723439676,0.5443234669844854,0.5168775580120345,0.4869148959341704,0.401745689479343,0.3506602528289812,0.3440573863872081,0.3573091626620714,0.3463698445565679,0.3860316289144497,0.36692052385018475,0.43574443871742097,0.42980696872860646,0.3741089719449632,0.354287265998032,0.37077078761528937,0.3620222211865159,0.33134602886658626,0.3698208278950118,0.3920239265990346,0.41528639121446803,0.39864388633165665,0.4423272152625867,0.7469082233353925,1.0157549966654693,0.8261432004859783,0.48866344336980283,0.8860912875887474,1.381684912451619,0.7630794699178498,1.094233338113973,0.807664686759228,0.8305002485628054,1.4937734403486895,0.7584552718609008,0.8277572026691512,0.7252029590979461,0.7261603301213393,1.1022515169694198,0.6910980856794342,0.6017201549992157,0.4751520733643222,0.5979555184276779,0.46090250018564394,0.3970467074690972,0.6308722139265811,0.5025534993279382,0.5505311401253264,0.5537942459559232,0.8324840915896171,1.010045016281598,0.7662861760799332,0.7115714071109969,0.5249506213655214,0.8748217993148933,0.4253797930222559,0.4106209773864264,0.39404487770652613,0.45241850598845845,0.4662616198086208,0.5486971598715924,1.1198055797827338,0.45299876853508025,0.39944603281036856,0.39547635431559097,0.40481899436242863,0.53358462064924,0.3648693168640481,0.4513373480480782,0.40150549213873776,0.5956489434487974,0.4573982075081255,0.41394587594051235,0.404562768124385,0.46320594541179677,0.4874980947076319,0.41426060847986423,0.3960750215654426,0.5564023678752371,0.44212410753767695,0.5826525292043132,0.39107489349632374,0.4725637299519984,0.4941061490899777,0.5266649973665443,0.7433929581319899,0.42399672222434215,0.4433748805694725,0.7846203351249544,0.38572089940828164,0.29511337149685185,0.21368339936058012,0.3069678831013237,0.2810745654058346,0.29325258001772536,0.426947777667227,0.29638028349025397,0.33377324368878775,0.40011028052801084,0.33953290482092147,0.3165525542338902,0.2801098915314541,0.2613575832135062,0.2662657345148582,0.28382640231129963,0.33216412045437127,0.31428719248968107,0.27313719525175983,0.3796414602380787,0.33108100632591037,0.4057714684464332,0.3272671367653361,0.48775311943614436,0.38620703924197547,0.4196135258091842,0.6670156005182258,0.3678193869437056,0.4417709858941492,0.32788839797789765,0.44263769693046656,0.39743621183345235,0.3612592836332724,0.28753136720588485,0.2985312152100894,0.30769295865780977,0.27045003463619127,0.3224612894347483,0.2785442384432205,0.33419974508864125,0.4267738077934974,0.46056657189368666,0.7505136004617284,1.3552038654003769,0.9126558340048337,0.49857417645361807,0.3723446021079632,0.4335158960450113,0.36303511180374376,0.43657194685431383,0.32136548267107934,0.3304937826980222,0.2972617982993118,0.2972138804782843,0.3590943727428826,0.5038301552046303,0.4108450622510886,0.5544653759626121,0.6513074497414024,0.6557366015949371,0.44551504814874165,0.3241627052161625,0.33625246303203815,0.34252301748425307,0.30537694734316523,0.38184550736997613,0.41405337719460916,0.6422452111033414,0.3649601746509325,0.4289890180745032,0.4354028823645851,0.39589687205741164,0.4122947726886473,0.39399122576194195,0.3999066058239566,0.41450957060785953,0.47122390766510625,0.47652064846042264,1.5590063137362629,1.7778231932442994,2.3448477015327933,1.0204819325637444,0.7262416443506448,0.9249920259437278,0.5712944049142754,0.4173212256891205,0.5990889391709144,0.3496034059452487,0.38255984863841036,0.4780018363157467,0.3643258026281723,0.5029628346361174,0.37629858588506643,0.36579544039749357,0.4236760755318014,0.48114720706005476,0.6542004646825144,0.44079356873032804,0.615342480003999,0.5172911985413289,0.5375253956317031,0.5620219843875275,0.6782977198232797,0.7505593310570726,0.6796043580977463,0.6957043445041845,0.7829812333462706,0.6910274357729725,0.5766571332119353,0.5444268289440135,0.6400353676297651,1.9192363920227926,0.9214352916650104,1.2357448960406363,0.6857900419146944,0.7240216815574931,0.8200008033533596,0.7765056740042119,0.6176705039776598,0.46875073309388143,0.6835801232320586,0.5385397765598934,0.6379905707935294,0.4474349602551083,0.8868253402717727,0.5292790313075378,0.696235053507058,0.8145190302997143,0.4364884480066212,0.48723574986982376,0.5877591532268305,0.7679514618925997,0.9913310219385907,1.0952561159765741,1.2156384232873818,0.9536166255981494,0.9147208749304951,1.1918731240469647,1.0335473479355082,0.844429476780433,1.0907067572838864,1.2184844036956548,0.915180033639954,0.9069209590635396,1.0926352845117757,1.0721128662625197,0.8008843063458406,0.8352367071469827,0.698335758327898,0.7037515137263665,0.7162044889934159,0.6337989504527,0.6094319836408649,0.5077143003752173,0.4958836629418063,0.46113327200966203,0.5077287328139977,0.4433934392033211,0.46163067305933825,0.6433826751836101,0.6988643884923134,0.6196755511316069,0.6967858788218511,0.9809269222749938,0.9954863071766138,1.0963808917086288,1.2767646360665668,1.5312092521708252,1.0356667141926188,1.0469738256468835,0.7561582713386604,0.7810994248228802,1.2951329530222382,1.2551120528952733,1.368441173967918,1.4907041120981552,0.895048333412189,0.7389647517440303,0.4149192446701957,0.35344545418823126,0.4470642572369999,0.4366552640420453,0.5852586951838282,1.3994088565159148,0.46996629229824677,0.6284876722491058,0.7067731366328077,0.8765787812306559,0.8050696573052923,1.0078449803394696,1.7613280168206686,2.6677460553354604,3.0149232707022344,4.04440222697616],[0.7122553680544189,0.49190306263602285,0.5401584414137364,0.5348819441699811,0.36976021644319784,0.26282144557771114,0.1476463245021765,0.23305022071177392,0.31456943681900446,0.24506952755124725,0.25127979410067075,0.3620124105023812,0.28094314598706777,0.26149524119795514,0.3088322940948846,0.28176556910135997,0.31443626948829134,0.3144000427347667,0.3733297051451952,0.3985284242371429,0.3778443958669362,0.5216634921261702,0.5666542344906501,0.5302718974426266,0.48585395032803363,0.40005346912939005,0.33642675557536705,0.3288506291349195,0.3369041909849679,0.30399477295451655,0.3404608056844332,0.32123818106695107,0.3638066648439017,0.35850704301795994,0.3259493910501902,0.32907395788231414,0.32627608821814197,0.3357999827849866,0.32593981558917057,0.3481281701216493,0.4275672790484716,0.41899113111884945,0.39833536611895387,0.4418862230652869,0.7861574106278943,1.0558932513732515,0.8922243448738151,0.4877739607434071,0.8942625810082262,1.37517387377988,0.7396292003896433,1.0840171786879775,0.7653915073426268,0.7629870355368908,1.4172227545190137,0.7473553597927869,0.8088725954846532,0.7717936750239563,0.7114710524153882,1.1996246789328648,0.724391986961144,0.5827731708426594,0.43854492296018527,0.5540463292433379,0.46670077901444973,0.4080238722803455,0.6123484773738234,0.4693614045322241,0.5476885945437413,0.545512752154761,0.8005381679149196,0.996741283673021,0.734105122784293,0.7017677309385358,0.4961650699421729,0.8602686101858777,0.4046387812449144,0.36349274631525424,0.3626037401021934,0.4178528760719272,0.415118257595941,0.5239186569161041,1.0623201287209878,0.3973491095054659,0.3973800387304965,0.35948221866239766,0.3630185311777098,0.4771341919886812,0.33278575263147814,0.4070109330284815,0.36612495611075024,0.5868680146355348,0.4123013279049848,0.3306521119537784,0.3307568068010194,0.386043061794206,0.454452148150157,0.36264330974213876,0.32055964430668116,0.4664366097612105,0.36081426326197935,0.531653872412465,0.33135706744124077,0.39947029841315823,0.4206251588080566,0.44318415098385383,0.6022532903673705,0.36783461057048944,0.36357839638259826,0.7146870198574758,0.2977645765998886,0.24529686808064916,0.20492720174292867,0.2876565058001486,0.26717089239754227,0.290036616098892,0.43255724649303623,0.30866884973597764,0.33861703219950157,0.3809935863826007,0.33630129257149927,0.31814448575830584,0.29194826791629813,0.2623994447911684,0.24958441701651582,0.2887800129234757,0.33917013996683,0.2752547364739311,0.22610257478706391,0.32357412801671054,0.3043056391646168,0.3563177474616018,0.30771919637122236,0.41830771473591144,0.36718670642811235,0.4330877233872659,0.6820196981953953,0.3405863598631983,0.4019703677625379,0.3143890085207303,0.44837147779845904,0.4251938928261568,0.3813044480460008,0.287284877514661,0.2833995403794459,0.3176247611359162,0.2752838157412122,0.31951051952837156,0.25551302437048856,0.3220756554136857,0.399626658208511,0.42168683390425216,0.6457944661825993,1.2458532866548426,0.902693314178273,0.41657036846961093,0.30052886420583735,0.33520183780469304,0.3003232678067133,0.355983059626694,0.3028235831595511,0.31218280138611487,0.28567865249400076,0.3041211929014476,0.34428873790607756,0.5237665980386798,0.4325955653437796,0.5938239511941377,0.6774513669289839,0.6853574943638593,0.4588818110753293,0.31880370472754527,0.3217649456440588,0.31996251822209115,0.2759575810195591,0.33606997082798906,0.3912660948748389,0.5484212068436146,0.33420211105852626,0.38433556900813615,0.3854602842348425,0.33049172232360485,0.3578043268188629,0.36920595352584273,0.3878167689488242,0.394622783017716,0.4334467434845348,0.4887857752680482,1.4491320601366149,1.8744211680863903,2.41227554885913,0.9558751260913396,0.7661421696281118,1.0154826717411443,0.5997268041857368,0.4213136608663644,0.5752063310087073,0.3626151892801626,0.37679554845765334,0.5092882591792529,0.3571083130640545,0.49846228856090485,0.40099554369785706,0.3414154431024094,0.42909539437178607,0.5382175793460585,0.5851016668439576,0.42934557954519414,0.6562914174223888,0.5953580904491831,0.5305825138257885,0.6150571055981172,0.7775869132443625,0.7867064484760593,0.7041890732372776,0.6877626152087565,0.8070477741120707,0.6020824213891476,0.49377431275055256,0.5282090334852992,0.6037887928986506,1.7949248580154307,0.9389417686054257,1.1627056160852047,0.6611609001075736,0.6577620634500683,0.7453411336120696,0.7035114831320171,0.5828061347004656,0.45499456751505996,0.6319824813848773,0.5456768363237655,0.6335603110685561,0.43843734840270865,0.8460589482435966,0.5895126919377188,0.6731143148431143,0.8374657211480293,0.42181690138330086,0.47056231217326966,0.5480286144063945,0.710506710745897,0.912335359846219,0.9749423280558901,1.1031576556193472,0.8612248517640189,0.837744822005606,1.0756015792136362,0.9416945374460909,0.8114239630782789,1.035857951287577,1.172130948240213,0.9240697709428527,0.8974455079893607,1.0779981881993375,1.1194686798500328,0.8466706331375695,0.8522524223556623,0.7102015995531464,0.6952071773014763,0.7038234200384613,0.62186055340387,0.6036890860802401,0.5253186484235626,0.4806248791934774,0.4497662303890662,0.491690476249278,0.41428339470006337,0.43045752912928154,0.637501704229018,0.6440681240920808,0.5767063002566725,0.6776206692334478,0.9192109026308293,0.9185417260307016,0.9686244379034481,1.1972034558993314,1.4223519437276226,0.8977496979178419,0.8125092011553701,0.5933333100478498,0.5493255933656194,0.9854612725916576,0.9610463610598731,1.146695041074236,1.3575415942986437,0.811849357499226,0.5989076281242975,0.3739806436232895,0.3812726162833495,0.5619706997719084,0.45318425391514255,0.5937293612824149,1.2929949182103109,0.5515056668581304,0.757716855693607,0.7078603372821651,0.9315527218160415,0.8874627859319245,0.9427351643294682,1.600981182297853,2.563891403508294,2.859566593892176,3.938093434963033],[0.7888714288037583,0.60408618741223,0.5776454441009184,0.5071925581897103,0.4051689720614321,0.2854882887158053,0.24748663492011,0.31366022173390384,0.35586145823648097,0.27944070931513,0.30079355834851323,0.3999945683099352,0.3014044050045904,0.2928710978624361,0.3476928591634669,0.30656138273872224,0.3268939950618987,0.32535517403586245,0.37962452042793043,0.3892212962678615,0.37686726172557283,0.5121296467853653,0.582816116079957,0.5826587024801053,0.5093879249932355,0.41680941515881265,0.3566415906074836,0.3554209205386343,0.3562354414446398,0.3255683303868255,0.35912508485050715,0.36156609828991165,0.4053086808493528,0.3876703312974638,0.3560807925447673,0.343757805984006,0.3551353058141453,0.36547961142736707,0.357366864000302,0.38562949526220597,0.4436128432394277,0.41189391745891896,0.41099284747355846,0.47013894186398786,0.8445494165543397,1.1271512673290038,0.9817473924459961,0.4953160005564878,0.8850689130544281,1.395584545077854,0.7676015333988464,1.1671712254389366,0.7699542035198886,0.7739731410036936,1.4185516439810908,0.7510962063785857,0.7940439726043682,0.8371822075791734,0.7364813956210454,1.2243639560497583,0.7459918173086155,0.5938422028490574,0.4505878549403413,0.5583241074767648,0.48686808298463624,0.4222290298965513,0.606746120337553,0.45866899080826296,0.5669191480911756,0.5465442212705796,0.7772992346593084,0.9958780121770999,0.7242507811742039,0.7305268011494452,0.4842151175809863,0.8779205206738452,0.406647623443969,0.37137458798137835,0.3908079742737498,0.44870915020577656,0.43693619364041847,0.5496061410701928,1.0854830294259552,0.43216834245076496,0.4294454686095674,0.40328921916950033,0.3897809198653861,0.48752087725640686,0.3490583052384257,0.4186317445022125,0.37453674864843983,0.6093145199819573,0.4386441577098617,0.3583547874128539,0.3604748815059199,0.4126669143143921,0.47946105063713246,0.39794547030232075,0.37228103296043574,0.5322043655596309,0.4040341784911399,0.559625790128858,0.3849851508271957,0.4546981108219791,0.4948692577050419,0.5159738412964022,0.6868190397845491,0.45880920981025664,0.47225104563717124,0.7736320817284711,0.4368573737742521,0.34050707741969594,0.27335892139594653,0.3496918907106571,0.30435627332958304,0.330368825856471,0.4497467987159177,0.3667281512978658,0.4165756814316526,0.3893983915088406,0.35517854654605985,0.33165305455885186,0.3338862620025658,0.31367933925644476,0.29629603410148864,0.37738877979778507,0.36220962462912387,0.34851967848342225,0.34902712897146687,0.40952967712473226,0.4493502350096366,0.5001392432769289,0.42102552214752886,0.464365006194963,0.435229576209057,0.47774663559621205,0.6668379671212773,0.450215613279907,0.4562211106107533,0.3681386889100284,0.502244106728507,0.504993521281775,0.4417229538944081,0.36598584368662157,0.3366637377502012,0.356262486009536,0.3335816907726051,0.3528691670006469,0.3148003451349989,0.3654616307531392,0.447794805957871,0.44113664832460187,0.708535505774209,1.2615455438362257,0.8764721357600208,0.46674942093655575,0.35730247850321734,0.40132136091903464,0.3554248493050898,0.42581708052311584,0.3694366618410665,0.36048139672297624,0.3493543510006068,0.3552389496482314,0.4340501670984708,0.5724987219342427,0.49358835010704116,0.7010447894694718,0.7774353890064571,0.741825310497594,0.512027205466313,0.4144239727031989,0.4113122283775018,0.3649653858509395,0.3365783000612013,0.39850915954991945,0.4528739138729129,0.5981936178742634,0.38739195926979875,0.43384341122617853,0.43867578007421754,0.3998132680665682,0.44340238181109926,0.46042105113132203,0.4532906692191486,0.44908800881272554,0.45269679155515086,0.48850346918767806,1.4813428364439871,1.895749941978307,2.3273877688920033,0.8589273577250764,0.7900917633275153,1.0899427815407932,0.6622322546782087,0.5283649488221782,0.5755826431364793,0.49772674418920615,0.49018184560939826,0.6049755027819265,0.41761054801467296,0.5485741309596007,0.47737339376827764,0.4036399115103116,0.48423906438300357,0.6326407364704356,0.5613195306146064,0.47454359550487435,0.7678777245526995,0.7405880580750445,0.629466726031594,0.7647491139224286,0.9922884665228421,0.9181616635775525,0.864325541242679,0.7879811978100948,0.8836141466491456,0.6680303175665803,0.5281919957516495,0.5813103199591559,0.6262834225934735,1.6773494430402194,0.9149110101662171,1.1966492318531567,0.6858748296239777,0.6509499570757626,0.7470225042149647,0.6616285701457035,0.6355533953096448,0.4967578915260745,0.6732638866383979,0.5980385843335418,0.7330946367993159,0.5411840460719003,0.860396221873228,0.7281437520881966,0.7846671888799799,0.8941680880640374,0.5227579061021261,0.5250819279712216,0.5457897812855355,0.7040723014170317,0.9018661164566019,0.9940386022836343,1.118731762301117,0.8997462630655425,0.8915911683868905,1.1057351479905788,1.0129191814266714,0.8962860899777908,1.1548428611718327,1.326833120809264,1.101840695908436,1.0402006510236907,1.2602821558465471,1.3505139008317446,1.00492822871832,0.9968890476648558,0.8117947051602472,0.7745806163822724,0.7646934673339197,0.6339433350593373,0.6559934204722341,0.5637080433064471,0.5016735102570399,0.48625751903329717,0.5294695368784818,0.46953685211575835,0.5076065350671826,0.7327904693928299,0.713892000715337,0.7129153318551117,0.7822071530896879,1.0521765082209684,1.0445651401921618,1.086537984338483,1.310130766374248,1.4871611450839102,1.0088906076889108,0.90494163592631,0.636533234515914,0.5449941845733774,1.0328625741287647,1.1399566338805216,1.400272760611114,1.6371609712915518,0.9484963099208353,0.6841871508994022,0.5010112395523075,0.44250149557767254,0.6446513333468605,0.5472575008466517,0.7018150864441995,1.3039337128523145,0.6364240488424263,0.9171607933729639,0.833635770442614,1.0521569821114918,0.9747615619791619,1.0868512186464394,1.246815427606677,2.194839557544957,2.202549910262643,2.8767311970689766],[0.8610602837537251,0.7343762446869546,0.902062407025921,0.6336949704030045,0.6038215458507371,0.3518341425744305,0.23037160033400683,0.2534389582780338,0.34240913059389777,0.3477230167760183,0.39100058457556697,0.4606050937347787,0.3417943481142434,0.3830104467634758,0.3950761485196185,0.34920556561987914,0.37272393159128436,0.3546177245290208,0.449148894979878,0.41765191925349965,0.4576878212328922,0.5851582910512245,0.6710626507314861,0.692379460892896,0.6030785031456974,0.4861272006024861,0.4142630473862321,0.37374322111785924,0.34865691900568263,0.30004925883202643,0.3544014525778368,0.32135381603568014,0.35246331517568086,0.375971149123141,0.31905072041904997,0.32702675929969266,0.3295415830448048,0.37057576435093814,0.35781764367215263,0.39044240366000255,0.5136964746918081,0.46082602313122356,0.45914489774275324,0.5320565067575324,0.9300918252854884,1.2175176780742214,1.1514632872314081,0.5906956956146676,0.9391178061520135,1.4367955497329645,0.8503632044742356,1.2585673649414295,0.835615125908059,0.8353573530220932,1.3601865085510763,0.8095163975054978,0.7766327275801276,0.9374810867375665,0.75842980962518,1.342579413472062,0.7813173762584754,0.576249699957831,0.46832844736349133,0.6128730759730556,0.5783978094341868,0.4789929939474425,0.6226170060559872,0.4696649072232312,0.6278333918377056,0.6068152401492073,0.8054295206282933,1.0702956543033728,0.7298194769785245,0.816811543081562,0.5229587179304571,0.9227617025401348,0.4270676502356936,0.39826491295038685,0.39117889887122403,0.48875666521153394,0.3702561838972406,0.5584454018020009,1.0129746146236396,0.3958112936930541,0.468487624681451,0.3792829366902457,0.36801291206275843,0.4641707084424745,0.36973769403986445,0.4198740921741702,0.39620213726911724,0.6167107867292632,0.49438179247827024,0.39900713678282823,0.4097775807031383,0.5088844770349547,0.6099454278521153,0.41762009290132707,0.3683181166354839,0.47949153790252635,0.361136627490924,0.5018649382305815,0.35726953230203784,0.3693886902656084,0.4531135100675415,0.47362686301795726,0.6074804457010172,0.5211423608076848,0.5220108515874442,0.7230427424343183,0.4301399628678556,0.35870293454435415,0.23676884533841946,0.3180427457773582,0.3192568017988558,0.33389550931566253,0.4396065225011721,0.38435393220176944,0.4974614863717483,0.44008074058758745,0.47249720530063855,0.4570558181506917,0.44468855289689,0.3162799073994562,0.28548763595233223,0.35215602406278257,0.3848878057133264,0.40380179927753984,0.43940398116526375,0.4563403132416764,0.6574877615434124,0.6563305560139437,0.5757838700603758,0.508499180318953,0.5211737546378032,0.5008310513947902,0.6111349489827087,0.5460851547747381,0.46437622531229417,0.3900702360129946,0.5389609240048362,0.5682608270637234,0.43896952462615246,0.36793470777832243,0.3421511784031217,0.3393745061788715,0.32397951797554964,0.31478811969414955,0.26363735245633263,0.2990498998023018,0.3724166235489055,0.3783264796195154,0.6005354269888656,1.2030560479487704,0.886354171219398,0.4038083624196842,0.30595003465281667,0.29895989819775354,0.3045038534185274,0.35177137974689776,0.3891583512746888,0.3392797656019277,0.36224923067044357,0.3859376354559793,0.49656007170269134,0.5871318963271842,0.5408386277378342,0.7841116832710936,0.8468417084070519,0.7901871201274667,0.5751079241274861,0.49570096669929303,0.46621284285858283,0.3916005248041766,0.3286057903174721,0.3717025653051059,0.40007159647629453,0.47502572688361405,0.3638329232659228,0.4005550750584916,0.46460750933273315,0.42943260566422825,0.5432452476795252,0.5806297578057555,0.5196846490358376,0.5206409446425568,0.5024237990235099,0.6158721545917528,1.306560664664702,1.9764647255655883,2.262170824429109,0.9355126584104858,0.8565596106326837,1.3214924015962466,0.8811314889700165,0.7792740081268037,0.7866087209801029,0.9046063208816946,0.852986050936289,0.9016036100442076,0.6405847264920158,0.5314721143616453,0.5466941461213967,0.5888537332588203,0.4913234353804106,0.5440640079810544,0.5834909213065247,0.524056085678265,0.615008692761864,0.7115293335492084,0.675926589650948,0.742747245210933,0.9502696347775007,0.9838970958749396,0.9974204022006943,0.9536820845024684,0.9006324019387978,0.8010271807541218,0.6518862383730751,0.6435771491545045,0.7187644729180489,1.5288193955667904,1.0522590605272457,1.2452942267777096,0.8025139212286251,0.6979279587260362,0.6843378836869078,0.7453119919147373,0.7807222363732924,0.7001703159222711,0.8160129202012337,0.9548079259311238,1.0449942666741707,0.8778259047795137,1.164446440401525,1.1850639569857364,1.184991640181819,1.3145307406941653,0.8949550693097309,0.8238857683441757,0.7117845794690295,0.6630222334483206,0.7856630375786724,0.7641931429233866,0.9063412627138077,0.7194306246100012,0.6585795111159586,0.812645983925183,0.7673344023874022,0.649680943110951,0.8575532483036441,1.038828703191794,0.8516779122385005,0.7835333950778751,0.9974792790493352,1.1753330101545334,0.8379592117466794,0.7928439670414433,0.6432530208076668,0.5703380506906133,0.5802083117369076,0.5320567527704537,0.5716707877309967,0.5304989238492016,0.5908055605668625,0.6448192353488612,0.6738846185096484,0.7237447626447062,0.8315295803875288,0.9877793426159515,0.981145737115198,1.0921127116591631,1.1623291680829977,1.3553102035355544,1.3475089654728958,1.3175746687632421,1.631282960540346,1.6983035728596625,1.129103052928905,0.9446162248077072,0.7406344129900477,0.6690270056702706,0.9445648727813937,1.0367338406590558,1.4660716796439104,1.8319438507794312,1.2520896144085216,0.8519310179694359,0.7699915613925058,0.5102992783858394,0.6534661574709878,0.4957945576684995,0.5596146950739966,1.089721696943407,0.593293047678279,0.83777215884313,0.7350183379474814,0.974699581481599,0.8985516176079001,1.0731718178907323,1.2499048149017784,2.196777516690389,2.22549224025421,3.0214222953112424],[0.8439206342838615,0.7147134049439064,0.7181150203279054,0.5691131573720739,0.4335739893955704,0.3931877701912684,0.32163180949218123,0.36729013383891235,0.3905211607775786,0.3142385412861789,0.33470549734191046,0.4050754191901006,0.3348195797059117,0.3428342251713458,0.38211877059792004,0.35756366673942047,0.3804044417908237,0.38331275518888014,0.47326930201436895,0.4459081689099202,0.47536026275096477,0.6178043940319781,0.6809993620287103,0.6824615691960553,0.6082013421593019,0.5055307865015062,0.4502708943102795,0.39572089083835416,0.38184630580431456,0.34324540236866363,0.3824169891527594,0.35797059900770195,0.39629024363186177,0.38747476912562323,0.34990855170404145,0.36501875451164273,0.3743505072685563,0.4027899806000516,0.3925473196816118,0.42475822864921353,0.5644373761134556,0.5119001853587872,0.4987419406611146,0.5485988089930673,0.9337339898195519,1.2080758765289565,1.1455608378849051,0.617836602674104,0.9511771578525592,1.4701107751880893,0.8387449609850313,1.1483752421773372,0.8529005752769704,0.8118403351930438,1.4329564611326233,0.808769534025561,0.790167469816733,0.9312912216686291,0.7491004025816915,1.3350106335706555,0.7515245137076848,0.5709571694528449,0.462174739169981,0.62078155292376,0.5995364221102008,0.47311266368108074,0.631043410405556,0.5025463860502106,0.6677656583443908,0.6379830556981629,0.83361269877835,1.0714855991528178,0.7901656538373705,0.8457304451758013,0.5375009273819654,0.9472526285721806,0.4498649856853371,0.4139138572295263,0.4280907536926958,0.48956787568799437,0.43012770008259155,0.5939228847743581,1.0443358382519328,0.4292669275157437,0.5168734388142279,0.41976850447903313,0.40074445606771086,0.5173674006558512,0.3919708779686086,0.42391256023734825,0.41428529741644493,0.6544916997406751,0.48613537273436036,0.3811592318096019,0.38593290527996055,0.4490590380122931,0.5202202905340804,0.40938100326489,0.3897841278628759,0.5414377757587182,0.41114186371610406,0.5652927559493655,0.41806900824419013,0.4515211419255801,0.48656141641118944,0.5163446593491214,0.68679127003445,0.5074004851645996,0.5097544144794238,0.7609618080743675,0.47928365854135946,0.37813913628458046,0.31634462132723606,0.33995233187322527,0.342217953176201,0.3630837223073865,0.4658559253754828,0.40276040874633096,0.5163420302353495,0.45382395689422594,0.46767251984157154,0.424772785984315,0.4164192639770197,0.33657814231711686,0.3138105889048138,0.3664949021058316,0.4102693985968486,0.3660903702852176,0.3837588885743115,0.41848569352744214,0.48187666899610143,0.5131792245592769,0.44551444275108887,0.4511427570205894,0.4294304087170898,0.49413241657755724,0.6995473248486903,0.43718632954534226,0.34521123997004827,0.34430088690431876,0.5127898253838141,0.5720304646719923,0.41959287304158066,0.36202666666556926,0.36216005931788264,0.3995151089778926,0.38184227568667,0.36782026956135655,0.3234737691860896,0.3728379864705654,0.45585557636390883,0.47333934843704584,0.715133041690309,1.3438854148644064,0.9746999237025314,0.4952110506370639,0.38142289971821963,0.4059301974749373,0.368904414711903,0.42019291117047564,0.3776437872644056,0.3900470695713463,0.3613734362288921,0.4017305769058108,0.41800874097550755,0.5922243928761884,0.5726025336684724,0.8387731862821335,0.8853660729659941,0.8206818212934959,0.5534720801029315,0.3868544712794331,0.3741682347710832,0.3775141075966196,0.3482281215911378,0.39583423704936616,0.44541231330185593,0.5349004388297149,0.4043591342575288,0.4187196355860179,0.4443048462333601,0.4064625766025402,0.44039013281982614,0.5089191108315085,0.47539516415838584,0.46233130515997367,0.44721732092662525,0.5580750643884788,1.422611360490904,2.1163252834371695,2.4762969213935744,0.951311165680862,0.961498502266044,1.2489463091790658,0.7403374840369331,0.6328359133847694,0.6500159388267033,0.644360087088929,0.6130055659383297,0.706725524529371,0.5421702116997121,0.5908723764076377,0.5690574461323163,0.5283521724153059,0.5730030093600496,0.7236043929148752,0.6095891822641579,0.6073679164070566,0.853283989960894,0.9223467410566113,0.8412807466216676,0.9631960130095649,1.1909168972685862,1.140435565307236,1.1677131724787115,1.0579228912287397,1.023971472491917,0.8006799895780097,0.6567711954563769,0.721786927798583,0.773586535582187,1.5513571821319023,1.0330510221255595,1.2046317994595626,0.7709395568279515,0.6829451341292425,0.7458469722199859,0.6720841942041682,0.7470593393522708,0.6133326264629538,0.7363957129651066,0.7700988201825446,0.8810948435500559,0.6956064941716708,0.9352190778789622,0.9835356965760038,0.9487080639826034,1.076903615910065,0.6689750271062581,0.6224055404367781,0.5856577114805441,0.689636135285364,0.8569937043523358,0.9194556158839834,1.0299000024725526,0.8465072396485579,0.8497572862871934,1.019612266765184,0.9497860812868527,0.8829327696983714,1.1309500000245518,1.3129798394372665,1.1321375078696203,1.068011170110198,1.296587541723073,1.4423356718179066,1.0988232636908022,1.0698645793401291,0.8979761838532346,0.8127978898397525,0.7842754063648448,0.6588457778429381,0.72505911953784,0.6488649089930935,0.5845996621706248,0.619436340104751,0.6631152557364475,0.6128702680960922,0.6976531348119709,0.9210935475963428,0.8381171743520514,0.8893141037854351,0.9743356093947658,1.2212032734506173,1.1802186480053327,1.147063810248233,1.4227467049283273,1.4952790842948562,1.0786894569957346,0.9115939620059944,0.7211638024808724,0.7496559975302343,0.8888308481629417,1.0224372112615248,1.4161884695087783,1.7075645497899063,1.03101370301976,0.6772708376086669,0.6002637007711643,0.5186702808970598,0.7695342103915817,0.5976858569292699,0.7336474426129708,1.189849329432681,0.6840407920617172,0.9741581555337696,0.8539256131896894,1.0223167958730919,0.9466855031736042,1.171963800459048,1.1157698103567468,1.8783692987755307,1.9618675054091905,2.4219037554177314],[0.9195533116237781,0.7414711182504405,0.722859892705661,0.5033988792353136,0.394979206631035,0.43721479966044413,0.2952759389659775,0.3384948299042831,0.3735493523690714,0.2593083187227774,0.29541052834952397,0.38445149448273314,0.293834896063787,0.2867375399541502,0.3355196978088576,0.2996579632111265,0.33361231380759127,0.3309329695223738,0.43248225266247103,0.41069499469189585,0.462429764010601,0.6280256274068282,0.7151273154558049,0.7228286639362286,0.6403362748364579,0.5080721991313176,0.450414268278184,0.35437097056087946,0.31233353273514547,0.28535495907257513,0.3501329883151631,0.3175488474082441,0.35806121747079683,0.34821241873181624,0.3085026201414905,0.3147152585070685,0.30869007793711145,0.36177347226925466,0.3483621461574419,0.3984956089839228,0.556677376908775,0.5207492783876063,0.5112488945030688,0.5592841175058032,0.9635643467560723,1.2567651741722061,1.237686553797009,0.664408944690161,0.9978846694371055,1.5290307840893054,0.9027938677404305,1.1856723297434353,0.8619782774730165,0.8151952327036861,1.4094289639613446,0.8343433451327402,0.7575359734325069,0.9529756829357054,0.7356183465082903,1.3678770358889403,0.7476018475522966,0.5559006332245885,0.43916424856426073,0.6443038282902495,0.616436390584034,0.45907034608728653,0.6277752753225655,0.44728002292430125,0.6271577750396553,0.5915170814753853,0.7849723290166901,1.0607367265649605,0.7501943065941541,0.818656137847517,0.5065051667484898,0.9399637550080191,0.410382629182033,0.3822647521562927,0.37599741734602793,0.4549712529739507,0.3629796523828761,0.5627207390853148,0.9740110047351975,0.4072684728183731,0.48690810748962216,0.38161137606779694,0.3653323105961315,0.4615925430095481,0.3484775308097575,0.4150239466938829,0.3815565701280365,0.6675966243948487,0.480415364462175,0.3578659516362222,0.35767911427820775,0.45016777166744454,0.5277147707888185,0.3896947214171048,0.37729280466786747,0.5247499789892668,0.38185684028729266,0.5529513163102564,0.37981745720596854,0.41334302395614053,0.46578677676686236,0.4838904495966118,0.6683441043266438,0.5051879543201128,0.5112843009236833,0.7426953763382765,0.480478476599668,0.362448575182096,0.2704657311113154,0.307360836888433,0.29557790869455486,0.3095202359808224,0.4081169307358897,0.36846824892964675,0.5154956119696983,0.39619946852471405,0.43855592014626216,0.3737671977078562,0.38748980372532826,0.27122465040882626,0.2717764960669172,0.3499406255297781,0.4383242958680002,0.37766348446141784,0.41731120727059656,0.4325332419202495,0.554014064037676,0.5873749103949972,0.49493155976911973,0.4581595253608293,0.4560007212696703,0.49777302139791046,0.6795491120739602,0.47495216401544715,0.35391699276607397,0.34964213543012335,0.5192071004289586,0.6037736844803273,0.4255292191845345,0.33670738660069305,0.3321770698994017,0.3363064927594034,0.3186718326268527,0.31884024638460806,0.28317530796010004,0.3205157643388323,0.4348433149878895,0.4511791171379434,0.6978152478986253,1.335777918543274,0.9593105713187927,0.462760945541463,0.35459015297482427,0.36586070238709845,0.33552931527464164,0.38162697735425877,0.37475840271574334,0.3397460123880849,0.35787044220608416,0.3996548078379027,0.4395944547520552,0.6283902596057183,0.629618229005896,0.9189183242461789,0.9387768370854954,0.8461213298001735,0.5804430425613732,0.4113220080995537,0.3899502676504027,0.3649200629951311,0.32838495530770484,0.36742343881950945,0.40135104549804534,0.48207001119341136,0.3844083739240922,0.39715965995329233,0.4236470695724878,0.39273300833179764,0.4677196374097304,0.5451830254021713,0.5182738313944046,0.49119925207437115,0.46442506311302617,0.6235769713392829,1.4447959173280909,2.212439534308504,2.494971518879534,1.0742313106585,1.044525876407024,1.2744984004926982,0.7635517395310332,0.7277120877846663,0.736866158052611,0.7507791742996106,0.6916220645311736,0.7917656693786937,0.5928077767783,0.6239479247295978,0.6228601309342737,0.5702014714639919,0.5941241143891584,0.7596373493419232,0.5995609555988133,0.6257107541208403,0.8884145309829459,0.9941731070888242,0.9227958350162091,1.0574971863728608,1.2978898953718356,1.2477426054170364,1.3158280326072467,1.1710751831612505,1.0549615848645968,0.8101516822937312,0.6785635991529305,0.74419562989018,0.8211789985411906,1.4636488642909822,1.0241023839472256,1.1894226027324308,0.7823002559062328,0.6921155968019007,0.739691712256017,0.6950916791864881,0.7873929216575742,0.6520750693506959,0.7817178979279656,0.8763164246532603,0.981379764989264,0.789539060751265,0.9759196671271997,1.1363346226167013,1.0473962700764559,1.1401062209573103,0.7459286681336638,0.7106020953198792,0.641636832274578,0.6838960446682876,0.8241645040476827,0.8820501192587319,0.9834674493584028,0.8225957834158939,0.8441978888590131,0.9899421116998781,0.9396501935826265,0.8722542950273585,1.1234803448316952,1.3157307547337251,1.1503780093040528,1.0941299963575262,1.3273168391336259,1.5056954114782257,1.1594552951382877,1.1199090694543588,0.9416185126428471,0.8277666463980451,0.7869554691765954,0.6656702245885602,0.7427481199788727,0.6724863290733928,0.6186906751419339,0.6587705322575681,0.6981488953734591,0.6450594604710177,0.7576791978347936,0.9779326736999445,0.8693581004157126,0.9674170898405257,1.054243511146605,1.2901485385463924,1.2232754748517183,1.1571052783739497,1.472365830486258,1.4648656203366075,1.087672270841864,0.877492042658721,0.7202765340228681,0.8561612746087031,0.8213519131244947,0.9639970398759248,1.3943003455396108,1.7158888685649452,1.057763954669848,0.7064296298223063,0.6748917609198812,0.5569135799450624,0.8207113547864201,0.6351787939329696,0.7529782907873726,1.1235370734518224,0.7058517140003555,0.9906402117844274,0.8781466900082364,1.0409534663334385,0.9374124601462133,1.216695976264775,1.115594109208383,1.7094499090004502,1.9442346834900965,2.25304603573155],[0.8393807786214267,0.7079204488755169,0.6481612815690422,0.4155242383158914,0.4344272251286172,0.5168649869641813,0.39692900679766085,0.4558859857796117,0.4907843009984925,0.37586387210599087,0.40834847940849744,0.4851897694938604,0.4002444997381872,0.3628772104483734,0.4283500704529529,0.374251837493516,0.40494704186918407,0.40526162505617014,0.4912720897561709,0.4782371417222612,0.5238746907666059,0.6745191505355578,0.7551228108260389,0.7434501928042694,0.6741665273679687,0.558621088327993,0.5108103478309252,0.39071768238483134,0.3649041278819136,0.3602290504895875,0.42078037892821657,0.4092731170519439,0.46092785267112896,0.4419352217112391,0.40610594939052197,0.3969790685893411,0.39253881337169866,0.4354166283794047,0.4093946769160483,0.44252811565237765,0.6024967751969351,0.5952830796934606,0.5890249338376051,0.5998035725844097,0.9790889166831601,1.2702030559851658,1.2606987105176874,0.7214630067707464,1.0444256278389572,1.5293475470259361,0.9157695335859066,1.1687900138174978,0.9006869351544807,0.7884622707802779,1.3900888774530846,0.8428849900536695,0.7726258005869749,0.9670989870745078,0.7378626270713851,1.410866852432169,0.7597069471114709,0.5655647659051348,0.49186135972344375,0.7247461003983675,0.6598236479692489,0.5146312987795304,0.7135008967954916,0.5345636121967232,0.6915421632213329,0.6451859071012909,0.802390407699308,1.0689396491309953,0.8055047258923748,0.8986483754279173,0.5618525206996662,0.9975635515308539,0.4833036868444397,0.4626666906892935,0.457810834248892,0.47878669676957814,0.4244181411207027,0.6259017769679511,0.9971678853447576,0.4272643223743616,0.5198139633826381,0.41267561656202223,0.43629911146610845,0.5211507106164645,0.41222338927892005,0.45490277319436045,0.46958249124722967,0.6889393291909565,0.5490393660764942,0.4691524142025748,0.4621160957392423,0.5451692294918535,0.5732571853119814,0.4797740881988666,0.47503543420590416,0.6795040632371033,0.4643665468670002,0.6304778717484144,0.4248879682261437,0.5028738152153668,0.5155963311202655,0.5432209679921891,0.7358411571592542,0.5462123677230343,0.5631574640553815,0.8079803137173825,0.5452798133862239,0.40378826148288954,0.3573270628423228,0.34869946154243564,0.37766114205753015,0.3524305218271414,0.422653825733721,0.4084138754919146,0.5680055353292707,0.4585047470650807,0.4902171728021874,0.4107890993702925,0.41537395245771164,0.33511289077937423,0.36160875125290326,0.35697293216923903,0.43202077900806357,0.40759714327629004,0.439662610809436,0.453127861651241,0.5544108486393908,0.5972577056189642,0.5006194281569405,0.48460665364207134,0.4583489499495927,0.512100013410231,0.6722512038748047,0.47192826580991293,0.3685912602608759,0.38227293168490994,0.5891767789576579,0.6736127399636068,0.4852806494180071,0.3908476574057274,0.3854839094570906,0.4036798182651726,0.37311957932178225,0.38047273638716456,0.3591758497589852,0.46019727131202415,0.5604027506012518,0.6150956965371874,0.8551883076104133,1.5817207283070138,1.1602182889634993,0.6423788253354005,0.48360058267962813,0.5042482453204488,0.4236045304638287,0.455868108930806,0.3970954920256974,0.40029725611907074,0.3814140788268937,0.4272417272899776,0.43946261244045076,0.6328531870215923,0.6453668551903221,0.949032898492377,0.956119751117131,0.8568829957562991,0.591211390913708,0.4186440750209258,0.3855777802719322,0.38684029957641164,0.36410744274147616,0.41050346474294724,0.45120544469953183,0.5484886994995798,0.4174524799173048,0.41502537739408524,0.45169529876593617,0.42269416614731375,0.47296098538768583,0.544054464152201,0.5191078533158682,0.4911348975343423,0.4663601817966911,0.6495609919402472,1.3999219808237364,2.257050886246783,2.5095744917128013,1.1076170353123953,1.050081171935464,1.2726485796044213,0.7694017190130057,0.7551742019882624,0.7562347659433883,0.7570640036749697,0.7120999536118346,0.7744813681743624,0.6110489334208563,0.6458556043269623,0.629554908341714,0.606233780388906,0.6465340400186772,0.8058921367977915,0.6363747916945818,0.6863834076992672,0.9919854606096713,1.0521637457325674,0.973481616145717,1.1628111984543799,1.4296443631623086,1.29289074126699,1.383191776447539,1.1836878702947586,1.1647884566524709,0.8956979093426902,0.7470306531864375,0.834637213306484,0.9153498573838742,1.479731504329397,1.0531922727851795,1.2543011407860878,0.8311574004144803,0.7207882328801066,0.7656254016015095,0.7244632723682547,0.842173215087211,0.6911418854329499,0.8073805554222534,0.9113967421581303,1.0388848244015412,0.8337056838317702,0.9919474584360255,1.226297844882896,1.1311194319978473,1.1735744082727428,0.7848545135496008,0.7040847477804972,0.6489317692425752,0.7040812984703585,0.8501886685229277,0.9900092909909309,1.0383108594270953,0.8687037611653609,0.9355840322366002,1.0962138733451263,1.023568333525281,0.9694451250657488,1.275295727511144,1.4769096519364626,1.2893656058949439,1.2486172962118602,1.5258853861782133,1.6785012817470548,1.323991830487624,1.2972139138914578,1.0780232523107953,0.9611457518993868,0.8914919111226848,0.7550981101363425,0.8351133655519565,0.7426662461602704,0.6789894240489576,0.7217665748451911,0.7565465208910159,0.697952362956516,0.8248688587102482,1.0211382893640122,0.9379695952639576,1.0578659262936336,1.154974932910658,1.4133778132861934,1.3356113469915154,1.2743346391950001,1.6066214736239715,1.5787303550108767,1.2517006450684498,1.0047764344296917,0.7827435212055112,0.8479241753925923,0.8586324753598343,1.143825235039211,1.5862985770324225,1.820812893926865,1.1042608125836988,0.7364294762556989,0.6785778601765198,0.5599383671068244,0.8188088588566172,0.6601581690653632,0.8042889364908437,1.2967025471359466,0.7284135132747731,1.0213113179775293,0.9442818526442036,1.0297618961626995,0.9254620545624518,1.2357703005742335,0.9928661445435876,1.5801807030888335,1.9847686410939325,2.3318130041923997],[0.8734801650632964,0.6591735700838736,0.6813766813762676,0.3483040025045978,0.4601382821206734,0.53368555926561,0.3742190199925143,0.42857726578962413,0.45328757066463143,0.3325212567558454,0.36735965104417134,0.4444767860176022,0.35105093965597944,0.3266205076309686,0.38842170098684703,0.332175593626093,0.36327591410477494,0.35946700138239973,0.4484859170341797,0.42539016501138105,0.47805604483230413,0.6268312925879097,0.7257775889374016,0.7387348010235442,0.6653818070782506,0.5217225257758162,0.4567760039507938,0.38071659105393496,0.35556015616544384,0.3368038229996737,0.3814468930436445,0.3633492985418132,0.40634589737084664,0.389229883955016,0.36502229573766204,0.36535656713180986,0.3582477083401965,0.400161019634429,0.36771066587891726,0.407431406980619,0.5580346457155072,0.5219296152691368,0.5178320228073494,0.5738371646686443,0.996362970270573,1.2980074328148625,1.3110653626730162,0.6867327144009115,0.9808031299461863,1.5318339740600817,0.954372160763486,1.260044893727298,0.8853075119426169,0.8496988512768375,1.4443661095055114,0.8603445534992724,0.7801196016716362,0.9612012137799002,0.7409111671428454,1.3667278039430206,0.7476522280141397,0.5709239385074415,0.4509938987109809,0.6355486361095156,0.6266746396791207,0.4793503253432099,0.6464240674167822,0.46746363673768954,0.641528650890113,0.598265841085092,0.7920423095593406,1.0612233515543914,0.7589553387566663,0.824013828659065,0.5137452656035553,0.9404945684584516,0.42404881488991,0.40619509413939237,0.41404310997718946,0.4814431265371191,0.39141416010954555,0.5877662688350352,0.9770584745662567,0.43607480773763113,0.4818548342233796,0.4023528830366157,0.39437803615975203,0.5017790014253081,0.3791166354935433,0.43986519163918647,0.40598621680249974,0.6546410829893194,0.49363141236574476,0.3967436831655627,0.3958606501123604,0.471489436650001,0.5172402435761045,0.4185671409844211,0.41933734868014116,0.616297344722007,0.4492808690227552,0.6033166417562945,0.4146921884522859,0.5121817842356057,0.5752793690754612,0.5847007239185067,0.7950476360098556,0.6114753207558224,0.6285890185246591,0.7877685261475388,0.5864652396454259,0.44264429362068364,0.3435292248086991,0.3356279544330098,0.34370578644467586,0.3406627110451581,0.44326113683751256,0.4016921702506952,0.5410116911537984,0.41679105714042297,0.4571038710662867,0.40295218568281366,0.4114366775383385,0.3012465752976667,0.315020089267052,0.3603609807864143,0.5195602140909614,0.43588239551698255,0.5253487760389017,0.5167891956668184,0.6699713792768563,0.7312823585758452,0.5893316593062908,0.5404235734748203,0.5201529412536813,0.5102883235686487,0.668460557592592,0.5248411975591747,0.36311468599662594,0.36175075714043375,0.5065866170754009,0.624470540878015,0.43542871719803083,0.36269484207372127,0.35052112511362216,0.3507487113663469,0.34191908011550726,0.34588298073511314,0.33714379988548465,0.40287280819999477,0.5212265613305546,0.5389208918660784,0.790851833217542,1.3993093030273336,1.0004797669398386,0.551272091119166,0.4353272742239295,0.4725876974353116,0.40503820733339585,0.4580523619973053,0.4074868429950766,0.35370397558805683,0.3637510876821164,0.39626502887510345,0.48645249326226486,0.5933043257269651,0.6360824672184755,0.966573692495508,1.007802647255664,0.8598880377757533,0.59383589005614,0.45029278248373383,0.4354493576439318,0.3998923334193941,0.3672931185101388,0.43277078747718156,0.44788057712045615,0.5379640387385102,0.41978386725851474,0.4563626286137934,0.462575807453114,0.4810564968574657,0.5653754503342234,0.6252730317462493,0.5560939287155124,0.5345622744785354,0.4912091504582547,0.659995816210784,1.4212213428158322,2.073043653489306,2.2888905095977026,1.1040926643479143,0.9953106068935125,1.2667389905590647,0.8264378525860344,0.8845776145667223,0.8735748540942767,0.8935493757564388,0.8364767163022798,0.9052448543542695,0.7208947691959396,0.7261653159327774,0.7311221308356798,0.7107265141951365,0.7158947644736102,0.8589178225846905,0.7123552681143548,0.7583152694988581,1.0072901110361188,1.1170877170812674,1.0601532866121886,1.228626080459758,1.4825070739443675,1.4092268335933629,1.5234629383446003,1.3121701001394912,1.191499896511584,0.9293826532118321,0.8125905831656945,0.8800395513070434,0.970365608917329,1.4345584194994632,1.0979982696053698,1.2745687291934549,0.9105457670559042,0.8130662103656635,0.8426183447320131,0.8334241455183158,0.9548997646820163,0.8069200104555951,0.9359046843386303,1.056981222910439,1.155049388449812,0.9847971408802357,1.1137529893442117,1.3790585165512057,1.241859751799361,1.2612805887661325,0.9210194959891719,0.8510039912899225,0.7649892751201446,0.763648526644155,0.874252887753426,0.9513283825929777,0.9883008760359997,0.8817553799445369,0.9183849321828059,1.0202408162528356,0.9764237302300455,0.941318510180474,1.1989626347699993,1.3902334513116408,1.248143060101002,1.2105837070583947,1.4614849469929663,1.644433907053907,1.3237464882558883,1.2803304414603116,1.0875311117696331,0.9534430974129301,0.8912730290120561,0.7853459184533961,0.8708143797927316,0.7998985843416427,0.7565213341301512,0.8090315499104062,0.8343805365153425,0.7950065645204625,0.9292977441253792,1.1252826656612416,1.0071562922116013,1.1493861106383376,1.2654904645313616,1.4775875890964958,1.4035278893346304,1.3241475784515289,1.641546818082035,1.5832484510800742,1.2499712421009666,1.0089213240392592,0.8426539104269284,1.0041568735047879,0.8868267355591962,1.1878369377233886,1.6401410448298852,1.8681788881853518,1.1870603384977194,0.8401059000473887,0.8163917664710031,0.6431948790421526,0.8769200695816076,0.7103878997740051,0.8250180607592178,1.0703482144002756,0.7291977271689146,1.0370283953957442,0.931978727388525,0.9555829462055605,0.8606289116610878,1.3450932101572686,0.8897476927683005,1.386306807602648,1.9521649275174018,2.158191747153866],[0.7903857145418287,0.6844499886887098,0.6971591642040408,0.364097377570194,0.4838585684767664,0.5141007186157174,0.3710877975870901,0.4098687487702709,0.4370229861362792,0.33150783699636127,0.3592328085243453,0.4369557416234245,0.3608565999111647,0.34016968856538593,0.3995330185692724,0.3568926046125132,0.42971201628616346,0.42546507485342006,0.5567214865056679,0.5170620339516345,0.5650807070672161,0.6775890406285874,0.7962536585855934,0.8088690608943468,0.726122265815903,0.6020953564623596,0.5607456718467586,0.44937690655184204,0.40458467243181406,0.365751879286176,0.4252874845261833,0.3652760001332029,0.406366146524012,0.41269076857459713,0.3913224406090976,0.41029486829571715,0.37934777855837704,0.4406946860865451,0.45047946224400265,0.5023262295750487,0.6516030524438412,0.5965105344555139,0.6024879110877556,0.6987541559615851,1.0821835640358317,1.3726307371363444,1.4042913075329329,0.8173331794049122,1.0603944640173764,1.5609710198939049,1.0406991953471045,1.3187545436522015,0.9949134957887331,0.8896899421492984,1.4194060233654786,0.9588944777643348,0.8621310906830881,1.0463847839119433,0.8399216432534087,1.5082051019838905,0.8563815047576387,0.6362781826804752,0.5272533611494896,0.7454834216215109,0.6874258237554597,0.5518913868756579,0.7455679516025796,0.5557750834445507,0.7305326145544198,0.6731332878862198,0.8443723994110649,1.0920936879626926,0.8198949587737598,0.9171597469928743,0.5606849887690705,1.0070174970314838,0.49184902004250336,0.4655483816851522,0.4458108683517516,0.52457119755895,0.4431653102048318,0.613829633192237,0.9947489117269523,0.4863097636534365,0.55903052390573,0.44759113696943315,0.4391983824632784,0.5368492057694645,0.43208763102567477,0.47910884752487715,0.46790582020606886,0.700125336855724,0.5523618960300198,0.4397680621357248,0.432370007124417,0.5196864410648544,0.5452776295487476,0.4266923476347227,0.4128155429511901,0.603933936218965,0.4263486309058006,0.5964941848097629,0.4129332823501128,0.5048550103103512,0.588225237214317,0.5905709290019016,0.8007021880380593,0.6396683392362582,0.6504239207008397,0.784147992879489,0.5837888806698998,0.45325910180764073,0.35872820203692135,0.38913058969908343,0.38847598581784243,0.4165595524680493,0.4590413423757511,0.5168776776796244,0.6581056606624234,0.5017303049159749,0.5498740002516712,0.4391629146320292,0.48459933124419824,0.3724567322981279,0.35417043892158834,0.4319722831261333,0.5328848010784977,0.483074335193986,0.5565196280831523,0.5600875261639483,0.7457691405676546,0.8015847022594581,0.6839173841783921,0.6044491915603974,0.6128779798947243,0.589262046811099,0.7139909855348509,0.6378880174801448,0.4864761854946657,0.4932467312672007,0.6363315072833956,0.7740709910052096,0.5563124159802114,0.47979965667481883,0.4669373133602562,0.4293920945026224,0.41708590613680213,0.3952563810003955,0.3658452788299007,0.3982694450050403,0.5112768741907213,0.5270990654640672,0.7870348927857204,1.447392892664544,1.0313162134665717,0.5466827328645169,0.4184371166186835,0.4613665285889343,0.40669528767946783,0.4582334629367239,0.47223511511922245,0.4067605790679492,0.4694641241221328,0.5136733851878782,0.6204856430571728,0.6989150706173293,0.7493904198138672,1.0877219327120293,1.1053425741980185,0.9493900302739375,0.7012528426318243,0.5735880918240092,0.5451965555789702,0.4855501556220994,0.43208339066102,0.46041478066352803,0.4652180611953183,0.5582968946627191,0.4740472357296313,0.5103962259422512,0.5153910400218749,0.5271863864688889,0.6430457044196223,0.7175205444030056,0.6445992154322382,0.6476868042994072,0.6105407714518131,0.8323673999134742,1.3774347226039962,2.106530057075,2.247489050260864,1.2446261640987524,1.0723040497752154,1.3689236253800419,0.9397102147940516,1.0060852025631375,1.00702845541906,1.0060960102286198,0.9233019454972695,0.9438560191006733,0.7634958442234605,0.7409585391274287,0.7456150441345728,0.7484459366757917,0.7494888658411305,0.8780078752711514,0.7408536612882133,0.8046198766302943,1.0670206459873581,1.1622904904057505,1.1226743944620656,1.3313761107934525,1.586200124167464,1.4789007143431339,1.6382113131822762,1.3760978517479838,1.303389789041555,1.0000190868610694,0.8815102830151127,0.9734894486701993,1.0692126569125608,1.4768029575120045,1.173286723144555,1.3133898294743391,0.975194650346222,0.8693462301337591,0.8844702081469907,0.8937663523703906,1.03226394254247,0.8723256241229131,1.0021061083606957,1.1696337047486134,1.2497081430093346,1.0804809398449702,1.2189114490434947,1.5307251651732041,1.3668408135010286,1.3880148091440814,1.0126981534938788,0.9169095862796303,0.8262854454617966,0.7931247461888626,0.8850522027420612,0.9742101161953914,0.9798383037363678,0.8822004366374634,0.9468473271553719,1.0502097984708905,0.9893245574656909,0.9744225983890571,1.264757622360354,1.4651927491780334,1.3149020815346215,1.3011074614257085,1.5866525604886004,1.771197595369226,1.446293408204725,1.4142114290763526,1.188477602261137,1.0405800061122303,0.9470138484755395,0.846728821072998,0.9523759837578434,0.8544328096435154,0.8076296438812028,0.8841218953322032,0.9051413515672345,0.8576726469838409,1.0287773489611143,1.229682236850125,1.082559291247646,1.2528543745726481,1.401063566110798,1.5989885706861513,1.507855494816656,1.391839067282196,1.7580812991334822,1.636942053069686,1.3347998090239186,1.0374118986079863,0.8753622480763854,1.0333785629554015,0.9049941401696385,1.2000411713661607,1.6637571799907485,1.875535101571818,1.2367153021698254,0.8737902214054357,0.8646424547919734,0.6703636612064354,0.8809058630411454,0.7130867624728567,0.8406438236829882,1.104200634246408,0.7267154749407813,1.0527603358410451,0.9702316962690432,0.9796745088455957,0.8679674736662555,1.37653178149621,0.9101860201289387,1.391270107175309,2.052729827847388,2.3235007144514706],[0.7641700048127752,0.7565762308506017,0.7382660000282573,0.36896689349328754,0.47617639859155525,0.5621564884504515,0.422918581625084,0.49152507394440953,0.48552131808868976,0.3668392659413204,0.40071372386516085,0.4898321789425553,0.38626995523215735,0.35559687435342174,0.4306814381924105,0.3670947833087074,0.37399944916955175,0.3732507162445749,0.45006070870067894,0.43627669123970036,0.47984158731481574,0.6389733035122911,0.7352377447132972,0.7350080126961624,0.6522477815809246,0.5222601528157976,0.46959365165351996,0.3770364653334758,0.35644846586269713,0.3569330228599331,0.3928842704388089,0.4131909685279933,0.45946326223603057,0.4341759423280661,0.3930671207711852,0.3739576430784894,0.38726754935933727,0.4122637078206981,0.37604736494340596,0.4152982059052227,0.5685298209283218,0.5463304553662104,0.5293323108443945,0.5690756954317533,0.9864347224864374,1.2877329679694185,1.2880454419966323,0.6824536643925874,0.9903913601169214,1.5256820328281695,0.9292880011702477,1.2279183640354916,0.8603991799779426,0.8332407981391361,1.466738520462168,0.8246973239691365,0.7541510263371755,0.9340980907275942,0.7261340043309836,1.3422369136331957,0.713609651682204,0.528200523206748,0.42885409005988867,0.6576108799326441,0.6203592687222659,0.4636179660127764,0.6555820457488376,0.48616950387478897,0.6482391162187817,0.6130443742203495,0.7815653544491569,1.0469261997249288,0.7831182286211851,0.8566072994326507,0.5378345954940373,0.9887450006661622,0.4351771962428209,0.4188622134931384,0.4249249473338955,0.4668998245923401,0.41010198853728685,0.6016271816474597,1.0135004260161213,0.4606570554435158,0.49742005719444565,0.41764477972719527,0.40910132959750684,0.52091915896126,0.3823237714275682,0.4518685047836104,0.43643028350802243,0.6670168169225964,0.5023477467024065,0.44010150190666086,0.44091979898701306,0.513059026164671,0.5305082689321088,0.4762058801362819,0.48832841875405675,0.720835559163393,0.5175680119495126,0.671530773211561,0.46400476193133483,0.5933808507813603,0.6167113340270722,0.6449803245888899,0.8675270593702276,0.6425454871193582,0.669414713171463,0.8484676149011019,0.6404731290482302,0.4756973624205396,0.39246404006386315,0.3635707333128646,0.369604698650982,0.3480124781660898,0.44337288906864675,0.3984816205610801,0.548651450591561,0.43187740813641146,0.4663679261347814,0.4016957098560366,0.4203965720658487,0.3172003457434988,0.33969609252228167,0.38069231865788894,0.5115703676875307,0.4698743070572468,0.5596029314777647,0.5526574880384233,0.6617562264123525,0.739822070706519,0.5943572590025746,0.5717799649773464,0.5294197091364848,0.5275535835402123,0.6896610316398608,0.521977149087497,0.38574991081527893,0.3815194991806171,0.5462090020354313,0.6556827600999585,0.4439669627587111,0.37380602976056865,0.3695256966021909,0.3740365363274486,0.3624285078483697,0.37817372758908746,0.37818660273423577,0.4665754017564079,0.5747444326267638,0.6151468172382587,0.8920411423346554,1.5190994817250236,1.076507019293383,0.6615602735553778,0.5092316744138042,0.5604256894119823,0.4540572314556672,0.5172952636162548,0.42476299189961475,0.3951025446966587,0.3852912799682868,0.4158710754816025,0.4841465400946143,0.6172978625244627,0.6455576121075112,0.968463236474387,1.0061198481929627,0.8650514918860831,0.5994725417842254,0.4573324401377632,0.4377181385523105,0.4158785384122039,0.39025735794831645,0.4669626839689865,0.4728139441478015,0.5934595288133576,0.4450873359418204,0.4763332089390566,0.4860384364275572,0.5048979461789327,0.5663789442153983,0.6323925826885586,0.5629152298169955,0.5264701069325703,0.48103450584051494,0.6196995107243684,1.4446850667103242,2.093517162763461,2.314054423942189,1.1328317793444023,1.023587833090366,1.2376512915059121,0.8025695179757414,0.8742778074249666,0.8544491773519648,0.8450911516534694,0.8108522789951488,0.8551825672765975,0.7337457008650734,0.7918448592672658,0.7634096306439497,0.7499471729505091,0.8139179535452394,0.9617686650567476,0.7724002472425141,0.8494464776028778,1.1861275538986935,1.225073592521838,1.147541847529128,1.4021636763258012,1.6915204819230867,1.4823205846861311,1.6179476146890188,1.3029759105056955,1.338110944467957,1.0092621994872855,0.8917031649687133,1.0103301170301946,1.068999827649357,1.4876429495130832,1.1722569986791829,1.3549190124108035,0.9724372731865738,0.8840675299076017,0.9382390115336428,0.8802957285216328,1.0039315167229683,0.8480778690943139,0.9745588730849659,1.0561078654504283,1.173463881018042,0.9933975364606279,1.0749345726599173,1.3774846801185474,1.2536983460072264,1.2240371279819775,0.9126631432637826,0.8067553455596411,0.7629630623614759,0.8445646707186846,0.9839909825696008,1.1446422080823575,1.1269182140604916,1.012145157850046,1.1090180822643723,1.241762939601692,1.1604786771969904,1.1356081891096712,1.4663498562267616,1.6634031139248755,1.4850624423554402,1.4773832935860443,1.7860494738722812,1.944358933055261,1.5867582591086045,1.5658787471567495,1.3064422751277478,1.1778584178832059,1.0837540286899834,0.9400219586273532,1.036366176878765,0.9232629441073947,0.8489205864328974,0.8914287920000926,0.9113938765172538,0.8419674977111088,0.9831578110666074,1.1662768629817195,1.0518697469429368,1.1839309941760048,1.3145057465625964,1.5667099925787282,1.4783103373820083,1.4096330729145663,1.7601890147838337,1.7286539056277437,1.4343091788757076,1.1233230528266818,0.8793761882366845,0.9685401846059787,0.9673371202301038,1.337821762089476,1.7837160689426481,1.8812625658863504,1.1629574843775023,0.8485460581936006,0.792384496111489,0.6814521162976932,0.9211739597753896,0.7793604998660012,0.9573166393596695,1.225643342989803,0.7982541873083647,1.143524762062568,1.1262423270547295,1.1060382347288507,0.9555683547288137,1.486074782720012,0.9986397391812767,1.404017856776722,2.1999596827678958,2.5032024228206473],[0.7960815384164845,0.7319415445567173,0.6520438633612119,0.37127009872989036,0.46610887789722527,0.608395427855204,0.51746859824302,0.59529752735806,0.6329598908855915,0.5638943171722827,0.6075533670172161,0.6597980406808392,0.5894784748824472,0.5727842668146124,0.6353847827058975,0.5803487098954782,0.5754267618307964,0.5884377655251932,0.6299592293898801,0.6186058626035076,0.6595204531036636,0.7782469693673647,0.8719229676005094,0.8412020469231272,0.7478756885240283,0.661440816491685,0.6194160816824241,0.5273710845582247,0.5359812657477048,0.5437967995453435,0.6084611853953387,0.5988639426004745,0.6682421272993949,0.6430184639705336,0.5823570061636947,0.561081543142903,0.5590167097341483,0.5656274433107245,0.5335935421564243,0.5474136214550727,0.6909484419509512,0.7042529809986926,0.6927684713450799,0.6813487329417827,1.0094859847972224,1.2916829779769123,1.3000644409258364,0.7856064557246245,1.0649496547833641,1.5459922015578977,0.9471628644055331,1.1979870820415321,0.9732410873331802,0.8354531991442293,1.4360976866073216,0.9089148787386666,0.8553934658605146,1.0241784624847663,0.7918633721926691,1.4554579160243983,0.838804874434144,0.6648618907027888,0.6244013219675433,0.8644098736135363,0.7811806925008581,0.6392272218105903,0.8251931272310971,0.7010015975472594,0.8108195439420129,0.7954089338768455,0.9271744352569424,1.1684373483522845,0.9472287618323435,1.0346809356497915,0.7445581129369766,1.1365728705899816,0.6504548815390813,0.643397799774008,0.6078006860139419,0.615311182511144,0.5922876893898583,0.7220313220593266,1.0851945240023504,0.5278303926815244,0.6096169952724493,0.5267290483172836,0.5676583629596597,0.6772949417033319,0.5626330664497041,0.6027221512336819,0.6664355018508522,0.823766187950055,0.7187540002491991,0.6679346697467703,0.6648120424219924,0.7429326472133662,0.7318355598789501,0.6856234814447102,0.6735400675703418,0.8885084072591453,0.649391701797835,0.7695326508811244,0.5736383386047751,0.6462261375101833,0.6355628067412781,0.6553060344132458,0.8448932538603229,0.6298783692763535,0.6522910078240164,0.909373983817094,0.6551021705411887,0.519539919035869,0.4944890736067255,0.4802150768884892,0.5345743567547249,0.49116715935292127,0.5525012567375519,0.5257899051396927,0.6590506296264371,0.6102821908688878,0.628504900427547,0.5705428119436109,0.5509092837519056,0.4981436965660976,0.5066096293173064,0.4491519709444751,0.4985416213002537,0.47968200596743465,0.493671166077021,0.5151553154613836,0.5602028829386543,0.6113541094431751,0.5075569056498558,0.5406446400477417,0.48337909009154084,0.5551865126873482,0.6891441037728208,0.5144157462841211,0.457449855121311,0.4889237165794231,0.6684028077528378,0.7675509520052294,0.5798601639020262,0.49861692755010095,0.5054735312031836,0.52912669575392,0.5020110217569439,0.5281159028468526,0.4919882623112649,0.6099250166566131,0.6846952892770667,0.7459234575131427,0.9926354392157606,1.7508532242920167,1.2952291828852351,0.8126213955575472,0.6545562679498718,0.6646777519081342,0.5826801494129199,0.580651750193312,0.4779690456329466,0.5355505760565249,0.4929450197234731,0.5113924228802695,0.5173347648252626,0.6805640202711812,0.6816590906410666,0.9924451741829275,0.9909755657798861,0.8842379899401629,0.6187111198960455,0.47371101504783825,0.45230804098310384,0.46896987816125185,0.4677411382879974,0.5365529937643894,0.5668086139886692,0.6714671300574379,0.5229735333171724,0.5102963810387576,0.5432799449716568,0.5145309593206935,0.5364808367245862,0.5747415154086976,0.5475425593389225,0.5250886677819705,0.5389451753413284,0.6848563088371964,1.4625683777293925,2.304118007406854,2.5197575542699426,1.1867765674208413,1.0707855029060362,1.261406802894832,0.7529907719415706,0.7711320060407352,0.7643191025614612,0.7484771121608895,0.7102530301327656,0.7539020196885217,0.6369869699560734,0.7130299674419592,0.6730777662400419,0.6511048197438829,0.7317458016448274,0.8884431478048073,0.6858685477439236,0.7634108437809832,1.119202316993299,1.1348744521865464,1.0508576356296635,1.2982822471974822,1.5849828145740108,1.3530992340673005,1.4804890901099514,1.2056612855626732,1.2750104560993132,0.9754901923277319,0.8259435482932836,0.9471860487476198,1.0093274271816919,1.5044711630182386,1.1266845620566577,1.3290839162825463,0.8945451960311555,0.7969323560448505,0.8490909047692576,0.7775494811244235,0.8910772772740876,0.7368335849778599,0.8653995339878425,0.9565448888732728,1.0865583240670351,0.8822923234173253,0.9893034303600939,1.2864727692158742,1.1780615979316436,1.177710974104172,0.8076754332756967,0.6911933429211963,0.6591352162419489,0.7623598016963835,0.9375148892532029,1.1077324025368713,1.1262549878792167,0.975854849765098,1.067429838345949,1.252097095139762,1.1587669741131739,1.1069559284506798,1.4617074152010123,1.6711529130252112,1.4566706459688472,1.4391485180655808,1.7616575094591684,1.8995664201756775,1.5171488056059905,1.5089937571853798,1.2430961967135727,1.125598701031048,1.0304485222450737,0.8784295359057709,0.9763366533541663,0.8507396699648714,0.7659372553445015,0.8122497324738245,0.8373760746777527,0.7551580930781187,0.9075928072829663,1.1159205998994663,1.0003203527122666,1.1112828666500076,1.2464775713593887,1.5184610612722158,1.428546211030348,1.355601666813777,1.718871569412402,1.6856250079304547,1.4001557712425365,1.0890357040619087,0.8206585986799858,0.8623544325470247,0.9042486100126101,1.259294779176935,1.7095451391400558,1.8495140159096186,1.109173503929195,0.7517900284771369,0.6893096582422112,0.6112852154729387,0.8628268086224763,0.7358729883017537,0.9081069593379695,1.3626477414033784,0.7942208450157449,1.0895258364299762,1.0731353338981975,1.1254234466212962,0.9514410637885832,1.3357434010914515,0.9914088116569467,1.4507722550372044,2.10740442490552,2.4638321425222482],[0.7733470460371736,0.7450973974892291,0.6823466777595274,0.3349114650860577,0.45143832388994415,0.5722196601516072,0.45705796512816593,0.5255567956746994,0.5269141303089268,0.43492191633135396,0.4656012767483811,0.5382389163174346,0.44790945474688915,0.42861742869040076,0.4955715845681722,0.4332397888868061,0.42612979055892747,0.4398687373233703,0.500524865219256,0.495969508620378,0.523711666439159,0.6829502164091993,0.7603432727436378,0.7410722217919631,0.6796902924234104,0.5688320893310358,0.5099008906982064,0.432839519820489,0.4224893713773021,0.4277418153287555,0.4541116288327262,0.4859500758281637,0.5156824670138437,0.4981481816290617,0.4595618893774897,0.4477366336769988,0.4534411556858171,0.4627290109420058,0.43051695735277024,0.4447709450561465,0.5875714703471574,0.5904819653694912,0.5557127966901245,0.5601800675550564,0.9635175152248321,1.2459468014965933,1.194726465838953,0.655060811742698,0.9776402063075622,1.516978571986685,0.870999029115028,1.1646927806585703,0.8448942125778182,0.8243693778864524,1.5035082284468195,0.8005021617156702,0.7555378180460931,0.9136871808163868,0.7220540869574353,1.269889556826991,0.675272393819245,0.5436778704219589,0.48243523710953895,0.6758817800228901,0.6510449053900699,0.5009124097865133,0.6927566245339258,0.5516402164580843,0.6919064697008335,0.664593788346299,0.8210210960234552,1.063704077908324,0.8298241107847287,0.8938607088507591,0.5909113548021441,1.0137356753846236,0.49895522314850954,0.4702187700885265,0.4904992066903591,0.5128637756311183,0.4817070610617853,0.6441053646919617,1.0550784946605083,0.488828670053811,0.5240313986536586,0.4640451586655459,0.46568868162578686,0.5735615595447491,0.4460052802661209,0.4958738945894701,0.4981347948528039,0.7032992579909404,0.5420715691951666,0.49727747299312,0.49902303402247494,0.5486756408032132,0.5645244594266468,0.5232143440491686,0.5388915080065049,0.7623072966199022,0.5728519477396277,0.7096599621977169,0.5131952325052032,0.6188393651732884,0.6285170098043696,0.6605589765685512,0.8787620918885151,0.6252036844545894,0.6498687837247473,0.8860074164747235,0.6448812314933106,0.49287073865029085,0.437834152134623,0.4142470691840878,0.4343033799301628,0.39467399719855323,0.5132806258791174,0.4356541199047931,0.5723170668479662,0.47955481419602125,0.5115008242316513,0.4661137071615627,0.456995205347391,0.3702479186499189,0.3939961487463262,0.4214147595213383,0.49418934517103547,0.4648264239718604,0.5187913718117478,0.5348833012274465,0.5623303936616636,0.6413554298498951,0.49777546089232305,0.5321641428787154,0.46929673753012335,0.5288552652629654,0.7204953434550663,0.47666802455758994,0.39805558435179217,0.3927580523631011,0.5610132385541177,0.6199926931947688,0.461890982985537,0.3981425624329579,0.4102795473117613,0.44615841218352215,0.4212326476293763,0.4461155460642677,0.4348026630522429,0.5269861836394001,0.6155337759218205,0.6503547986981737,0.9254830719609568,1.5611963169532326,1.1175305149555332,0.7092698454795459,0.5602255255286139,0.6071328360355317,0.5066062307523701,0.5551291943309891,0.4463994150870641,0.46159699836351875,0.4146832770998753,0.43534304028899673,0.4531980354212596,0.6309909718969419,0.6145050260812941,0.9014887885865088,0.9384663685066371,0.8464374094031815,0.5722422813620484,0.42182151056911565,0.40990728351181555,0.4291934815068688,0.424539346098382,0.49944872375376304,0.5155470507314475,0.6483032489877354,0.4809201539457031,0.4887684505378316,0.49708251015744254,0.49810419327529804,0.5108955282995542,0.5561046683380639,0.5295460615354665,0.49755886684622547,0.47164816658714365,0.5395304624971216,1.5416992809966412,2.153812372471289,2.4592350439113475,1.0372783674761183,0.9994544809525828,1.17044385474774,0.6952615277914646,0.7078763208604599,0.7053848033218213,0.6788640152782414,0.6657849320197822,0.742277295515012,0.6437547494050844,0.75443195672809,0.7035049452550207,0.6573468962703363,0.7594073860102833,0.9210522192595447,0.6893820487559287,0.7641584140620824,1.135386226834783,1.1463607172236172,1.0359145426363126,1.2795159815793942,1.5868704658558108,1.3460480998466806,1.429418486018313,1.1454944072221864,1.2278840117770202,0.9352524604193181,0.7973624481991474,0.9113255618452997,0.9713899775363845,1.5343869745301342,1.0996507003083265,1.3130846512489898,0.8855069837264583,0.812100921185496,0.8849881330041074,0.7929059700147495,0.8865992577513564,0.7346693012185523,0.8791358028087368,0.89162409610231,1.0354841280160976,0.8450255765977467,0.9218101788444005,1.1581052316153801,1.0785259813431083,1.0672044099975133,0.7589376787243174,0.6725501436881856,0.6751968507294525,0.8145208453169691,0.9961770538586151,1.1657329846011237,1.1719220016811072,1.0305665471569998,1.1118099620255142,1.2819869532528745,1.19500074712128,1.1412042293100355,1.4736434037446204,1.6722101009437087,1.4707611052963339,1.4426697421480035,1.7422701676792036,1.8849315630380163,1.5018435913341772,1.4817444324362976,1.2319613721055849,1.1296278932395398,1.0559114723437326,0.8986764621919514,0.9771410577205686,0.8578134168846436,0.7712562469741566,0.795298112790021,0.8166918835442878,0.7313130162501958,0.8526586066395101,1.0628915773431236,0.9521298560752856,1.0290845469338588,1.1423916588348568,1.4310454701133568,1.3607525580699467,1.3317868548467362,1.64695078661071,1.6894352755276807,1.3763771907368663,1.1338378559913873,0.807455528174452,0.8222229822059154,1.0160457659425828,1.3553299046045584,1.7652192858465687,1.8585452262050732,1.0642226009128852,0.7593629287257238,0.6825085395669703,0.6443076880096033,0.8820358958174018,0.7600178246881762,0.9375159176624068,1.2992034038663598,0.7913573078210444,1.1101847900212507,1.0956052045788027,1.130810563122889,0.9519512494462536,1.3932735292621274,0.9480013414334563,1.4078905184486836,2.0808314888050803,2.339218288207772],[0.8031637027502072,0.7734629796619128,0.7748762713184095,0.5739631562016926,0.6221649951353576,0.7360836460298875,0.6183259534893356,0.6614122910220357,0.5773284128912878,0.4853236536649653,0.4708115130464486,0.5557224886245761,0.509426967746302,0.4443770239812115,0.4955326279906978,0.46504258793300923,0.4603565352524633,0.46657427630208387,0.5037200534261204,0.5340201974364089,0.5498768198287883,0.7398705674583439,0.7715867536976974,0.7555543756172712,0.7165615380557427,0.612925606562665,0.5772402697413435,0.5183189616389873,0.49627637813533265,0.5064112858382229,0.4661551800277257,0.5427716952134055,0.5517569800694627,0.5235025546089378,0.5203443108248935,0.5031275661289528,0.5628645987012824,0.5706270406384677,0.5585437949132044,0.5839754239274253,0.6834426547055286,0.6676874251152456,0.6335460130527623,0.6273591105879589,0.9777803713553326,1.2548970528033212,1.208267994772216,0.7304941953514815,1.0670877375481311,1.643102278766667,0.9507860834013865,1.1975024143138318,0.8799816824054814,0.9639765505982769,1.6354895013560946,0.8228502923388239,0.7598622706462183,0.9548399743205471,0.7563608570239112,1.1576556039935963,0.6201504866828877,0.5705637031528363,0.5091605886939747,0.6727480055425339,0.6749433500438388,0.5525350510603021,0.6785960142478222,0.553702112292678,0.6740308090441403,0.6402197658979766,0.8064264833210122,1.045766639341748,0.8010403168180611,0.8652713188709162,0.5765107233941249,1.0044157458518077,0.518418028898707,0.49224843375235455,0.5512969747894124,0.5697139757892661,0.5816388015755357,0.7919150791454973,1.1112066954224202,0.651173152177201,0.6675876395674827,0.6202913205718492,0.5973572327373097,0.6623560591679319,0.5128620530801141,0.5352393223356464,0.5020255196881336,0.6944027595138093,0.522653664684405,0.4902209476087111,0.4941360172779632,0.5204798140733564,0.5376678666172924,0.5338034982958632,0.5653700597672261,0.8000205237882838,0.643491063600925,0.8166118315248173,0.6301074771336662,0.7712684864188963,0.7778831241506861,0.8268392897356873,1.0349079246709953,0.8263344272591414,0.8519571395104791,1.070106851128505,0.8416800769871481,0.689462095092916,0.6213261709643421,0.5806034341794092,0.5371149292357749,0.501311945062147,0.6063927687676349,0.4792403013458253,0.5783187893041736,0.5058167873140009,0.5185730970462988,0.4984201614136295,0.4896133704091923,0.4551896673563032,0.5161364087077787,0.5703400885363282,0.6745037663873094,0.6694024702014973,0.7173657423706049,0.7316397942078541,0.6663646891720268,0.729372617427442,0.6280203872053648,0.7241377090549572,0.6311511145273877,0.7039139379841072,0.9146166623561197,0.5891378962041582,0.5621137739984298,0.5304556257122658,0.6331224125147428,0.642302357396616,0.5276785630615224,0.503173322335329,0.524898651441115,0.5583506226131522,0.5465852569366624,0.5779822259108838,0.6039343773496579,0.6739081293152526,0.7654096051698203,0.7521641363199542,1.0142188170811832,1.6185044765144376,1.1694497004389472,0.790336535002787,0.6462062697941133,0.7392342852398192,0.619405376036663,0.7279506433233007,0.6235047796682115,0.6232888759920798,0.5679317203983184,0.5760851809135619,0.5666886815388057,0.7673594833970689,0.7400265199948672,0.9388251130720872,0.9632842194095149,0.9139387290420032,0.7082171124525485,0.5633167884179623,0.5668423361454185,0.6200154824078199,0.6143255896017883,0.6692698624600534,0.6457825557260275,0.778627611740512,0.6428373429090621,0.6482679246003735,0.7047549730174555,0.6879727048115432,0.6763769993867436,0.6995663484216217,0.6789759545048555,0.6258931453443929,0.6384777787440932,0.5802868742038984,1.7575944195479722,2.3326744455557495,2.7192013094626426,1.0920407877349683,1.1645088080151955,1.1938263779136709,0.7407205829085014,0.7427728735484151,0.7836820648544086,0.6932626118244007,0.7022440719438512,0.8021960055458555,0.7780215315480218,0.9116477397075786,0.8379967037959948,0.7637057535760274,0.8873910898393678,1.035995036604942,0.8603638840129648,0.8597039618024946,1.1995935614440498,1.1959390181732594,1.050114702443608,1.23274849063853,1.5226316692841935,1.305142503984307,1.3029616120022494,1.0999576072848058,1.2050266792901556,0.8858891792719216,0.8135713043577497,0.8937808467511124,0.9717073480111298,1.575607331667859,1.0710095160780289,1.434288291420817,0.9589690836042317,0.893619170388668,1.007844139423152,0.9211078007469801,0.9069500912969787,0.8070839471050442,0.9705492669073509,0.9024549349838061,1.0147451827898324,0.8524800769809113,0.9160166635386036,0.9839391881101618,0.9480129181402628,0.9765028217263486,0.7484590078832848,0.7727594554334161,0.8169877390548114,0.9821819158522592,1.1749550206574684,1.326230646407686,1.369659612125795,1.2243263612433097,1.2411367924871715,1.4124243739164983,1.3468129189210711,1.2590072034465387,1.5406846795168672,1.7196348505177375,1.525336092243567,1.47139274637487,1.7207971118678997,1.8194502366154022,1.4710579779057709,1.4480121816389047,1.2319598360671533,1.1784501791887971,1.1469770667965327,1.008580146092536,1.0314308132511538,0.9430562768385234,0.8624497646556792,0.8523740501340606,0.8733942323370765,0.7764503671992307,0.8233532242687195,1.0082668473150094,0.9045117076170401,0.8959953225974591,0.9616230834005046,1.2451674165418425,1.1581937408511436,1.162453309857813,1.4142527512060876,1.4926482103811154,1.2302070165403283,1.0221185008406595,0.7850619477064394,0.8398508991316251,1.0016737586505862,1.2269017585985296,1.5529697154990383,1.6851470451468733,0.9606577520535766,0.7671987271036096,0.7390590907500093,0.8045801224512462,1.0311967578699894,0.9036574917404637,1.0448041851728376,1.4060890678648466,0.9212800772122763,1.2017765433915106,1.1006286680504744,1.1612598656794624,1.0531124953296396,1.3539746160030175,0.9140168202078646,1.502202422176104,1.8521400387491995,2.1319956663494786],[0.9032016905467926,0.7146979583188522,0.8379066390636344,0.5498418826465992,0.6423602263438192,0.6653701549953899,0.6185719021452233,0.6254927592459218,0.6185317152313003,0.6176244421100565,0.6039879015335718,0.638410505045484,0.6458236128726389,0.642548087291308,0.6614675013765265,0.6412316376847174,0.6950190529230386,0.6926693411814057,0.7399163228346854,0.7152638837566792,0.7026965658595595,0.8028912645376088,0.8738633215649012,0.902706913718299,0.8582520842804026,0.7454927914825011,0.7151736711030153,0.6863629273701335,0.6671389480892159,0.6614919819330797,0.6551555998514024,0.6638343270320988,0.6589749695120894,0.6712592419552008,0.6461439145351017,0.6747849376438437,0.6542578618019375,0.6963586066264554,0.6627102943497176,0.6723997223647359,0.7855830974541278,0.7590423538813957,0.7377982906089475,0.8015890014228844,1.1310544182040414,1.3632848479779496,1.3000461426051724,0.8366152059069291,1.0985837775269276,1.5866478774313861,1.04875296689776,1.3095250551319375,1.0264408361226873,1.008438288097096,1.5965467879066562,1.0325262428529276,1.0082223142288427,1.0412945210168099,0.9205299598399469,1.4357573152259007,0.9121286244086703,0.7760671597957166,0.7068467806057978,0.7658211887804242,0.8117201057786544,0.6997280201431757,0.8499622301950033,0.731792347402921,0.8478450665469345,0.8079231468398069,0.9871611928523393,1.1974260954384408,0.9196020503888827,0.9803643449506784,0.733050892755353,1.0304610200910254,0.6850770588638977,0.6674914516988206,0.7058530578019269,0.7354409649880067,0.7198088087422425,0.7817609524658847,1.180401292103499,0.7049091476059693,0.7315261305211214,0.6944808189328985,0.6925060859862842,0.733841863833132,0.6817560915560665,0.7060649891261809,0.6760584915373449,0.8442803350698426,0.6804015431059923,0.6337057407188201,0.6421012806384159,0.6477409463436838,0.6955215704755086,0.6396147836738972,0.6360477983824856,0.7514927035733336,0.6798400760977193,0.7897386712431558,0.6873415790091391,0.7485277519878465,0.7984505807314556,0.7952189893199754,0.9708211588064811,0.7589334767267231,0.7643896480093902,0.9451528849559037,0.7508894284669156,0.6721412519383091,0.6138248094915927,0.6537763979318838,0.6690161556468711,0.6770968067667312,0.7677188623827065,0.7026278617815854,0.7507323110813581,0.7280799730061218,0.7549051891328841,0.7116743989635668,0.7432305689637247,0.6714997585623218,0.648096274810593,0.7210813569887057,0.7093483113264276,0.6511620545256466,0.7082050650849158,0.7103557451500446,0.6976118817703562,0.7547857298557439,0.6529977411208733,0.6988292390598956,0.6739948782777087,0.714215664939925,0.8909930997285529,0.6893162173325766,0.6482362119047431,0.6528651984633191,0.7178269955910159,0.7714553011322552,0.6809457676782219,0.666148113773334,0.6706580814981519,0.6920438887937553,0.6878669759876537,0.6591985902176664,0.6393493283146047,0.6639444392828562,0.6898445052250701,0.6651051655079493,0.8692211822903626,1.3015270472672156,0.9406496778895084,0.6915528155376515,0.6404900194261969,0.6877657799602499,0.6765828413432584,0.7033977135093199,0.670751704134748,0.6771525213254161,0.6632222433253623,0.6772628317548034,0.6791530083955726,0.8181899407097253,0.777005375194024,1.0025346775601447,1.0510856229225474,0.9863862985454402,0.7461338795312304,0.6503010563579874,0.6433788650414379,0.6556406799758143,0.6607203007143034,0.7006707910625763,0.7158976625951889,0.7958240789434602,0.7090434632666592,0.7126821070193532,0.7140310421274821,0.7072152330858924,0.7111582402623414,0.7467322748148629,0.7369532031186664,0.7207253201758221,0.7256097798881885,0.7780312454340015,1.7494040531153718,2.09489459260329,2.437759801162244,1.127487383730555,1.1053023747251172,1.1849066501541585,0.7723226968755799,0.7620125906331173,0.7634781599414155,0.6886873959222278,0.6704864056790695,0.8124342922471126,0.703402948470596,0.8421390823219216,0.8147489494459556,0.7008370404057251,0.7942354475070595,0.9801132252248685,0.762119808450753,0.7994436773071243,1.1087678603852322,1.2001796153927504,1.079921438185707,1.2288770037659285,1.502232147952807,1.4152503157146235,1.421631074746602,1.2210676403527083,1.1731759820483496,0.865286288164778,0.7736205158228959,0.8617733376540304,0.9209952399272888,1.4978837001670786,1.0653410750112695,1.3203947499597777,0.8865785388207268,0.8130376807460485,0.9038157074209898,0.8268228404576786,0.8827244910034885,0.7570427922272095,0.9131174244151723,0.8796826258675836,1.0037016151877822,0.8334439204970472,0.8979874956616148,1.0368839485071644,0.948078919875325,0.9956141317728989,0.7210529974698756,0.7369078924620902,0.7280976671473134,0.8652113510078607,1.033721161328179,1.1271989247746514,1.1760048749528906,1.0527555120742385,1.0875833163016386,1.2052367178043577,1.1604556602311111,1.1042801885265703,1.343645709939008,1.5195015288599127,1.3738325328555117,1.3109698878969367,1.5308687814455904,1.6836322007434334,1.3597684603231355,1.303020766236221,1.132777801305361,1.043965261524624,1.0188759614984526,0.8824095515247988,0.9374288020464412,0.8622049848452144,0.7741685453917962,0.7783494470200653,0.8074495226752141,0.7149916689314952,0.7795855722829534,0.9755725361227314,0.8646143985745184,0.9023125577422998,0.9641963601725088,1.2199481789496587,1.145158875004146,1.1397135026544465,1.3797224203091596,1.474797310221964,1.1546511105847117,0.9658175064247515,0.7700540952027474,0.9354660281215695,0.9035745163593448,1.1961652799099582,1.555589694653971,1.7238909430477993,0.9762173731569816,0.7785921074866697,0.7432405456369964,0.7964457825846959,1.0124958314834602,0.8480224155293675,0.9890632480990362,1.1868080372929968,0.8618815915183361,1.1724629049136586,1.0517000347917758,1.0974200188802872,0.9743151743743005,1.424939527978874,0.8270956547805917,1.4287916099147409,1.918457523551535,2.023504069637451],[0.6190568840605628,0.6358708435237495,0.7086300514735127,0.2873105330228108,0.45634108511286636,0.5701896356630469,0.4551400611650644,0.5157491474355408,0.4501953649801991,0.4103343465520136,0.41524072070174,0.4918908892279015,0.4369126661369478,0.4202555479859076,0.46750227308297515,0.42260445905863014,0.439015300750779,0.43416807061491897,0.4984771933835806,0.48391756877434144,0.48052133941631975,0.6418730366603401,0.6700032850818676,0.6695365511060786,0.6432376145582887,0.5330643663789235,0.48659989133992887,0.4570421156039161,0.4461677561417317,0.43900292396379625,0.4376901151585544,0.5003000577569179,0.522081545628455,0.5089099638620644,0.4710534721445345,0.4485450086872596,0.49085957650152967,0.47760387552813377,0.4530560539245882,0.4896704564613678,0.5805188492640099,0.5685845439551755,0.514965451882892,0.6065916617905597,0.9542230902532722,1.2109791794568452,1.0933788935140114,0.6621062975877056,0.9838076847191373,1.5126659487551195,0.8548664497209775,1.154843179194834,0.856010126081298,0.8467460662166797,1.5687470830849826,0.847757537238752,0.8740809674355466,0.8452821303534048,0.7598378781301927,1.2513910095395622,0.6960518107184412,0.6363850315419693,0.4989288564955552,0.595865354112188,0.6081893929098877,0.5089292150877355,0.6680689721673245,0.5448620939815139,0.6627772674478589,0.63310001306715,0.8677797565601472,1.0786941901442777,0.7906854291014269,0.8093561138476081,0.5614189094470861,0.9147959756156253,0.4905849274972878,0.47105724943905347,0.5126661366700974,0.5318096384843375,0.5286971834442046,0.6781463115960208,1.1150828304693274,0.5680029119348761,0.5498322381244086,0.5245663036157525,0.4991971217958265,0.6113502050649868,0.4621549590134975,0.5235481345854424,0.47986515876025054,0.6579656035951905,0.498476780367815,0.46013865331045684,0.45685734561169083,0.501039607384014,0.5323501759992741,0.48981657411481694,0.5051981727019916,0.7286550967028232,0.5733881478038579,0.738153683785672,0.5670861791591228,0.7057401140459968,0.7090130697295041,0.7490310515422007,0.9837826891075552,0.7321529494738054,0.7492913095512096,0.9675105408625063,0.7307951741819696,0.5587854054823311,0.46029930735291535,0.441026536004292,0.43268216941997967,0.4401377587372332,0.5534878789401937,0.4798292307402908,0.5453811735500554,0.49929316793907075,0.5395026625899996,0.4829585679257733,0.5138925779171345,0.4369004907794158,0.4218838966357469,0.5006118266439099,0.5417867735614237,0.5262027984643655,0.6103576232218018,0.6364069806702363,0.5737536098122115,0.6779833739587326,0.5583372139785977,0.645578883067947,0.5666044843060257,0.6299545341279672,0.8770758331101001,0.515006187362563,0.45823385925142124,0.4340837847827243,0.5310594268170723,0.5723181529644258,0.48491303087587767,0.44980994206260944,0.4554638336056446,0.4681685116349239,0.45207667666002155,0.44286468026579967,0.46031879384346214,0.5320065476114733,0.6415721361180283,0.6276854155582737,0.9325222434885956,1.4336848174803127,0.9842153031999682,0.6885677234978245,0.5542398314456692,0.6341831358760706,0.5396252853705529,0.6152022758233509,0.49913295400461066,0.4904920219913163,0.4607951344195436,0.4782992512595337,0.5005783419711154,0.6936751115085029,0.6550207948123421,0.8898255722394142,0.9707174617206614,0.9123199254647976,0.6593088238039878,0.4951006502349855,0.4708144436067143,0.5053075338401966,0.4911293833593075,0.5651637862404145,0.5523029676375105,0.7214101097873118,0.5370388429810095,0.579160740086147,0.5726062005459631,0.5918454812878875,0.6032986945183164,0.6274635205958916,0.6099099575955877,0.5671600657059099,0.5328119431893704,0.5662213911335483,1.7910586421812456,2.0455348814909295,2.4955465712091542,0.9484110638228855,0.982205043713322,1.0437764522004045,0.645631369843966,0.6499341756607858,0.7036436544934708,0.5802098841304829,0.5916340444350215,0.7179653433939256,0.6953437107558329,0.8547077671252898,0.7719838970431162,0.6569087224931204,0.8023421564243227,0.95535659383255,0.7024417886135809,0.7211473658218877,1.0846133358844818,1.0493354725327346,0.8619594468769486,1.0356550410472527,1.3341162327014946,1.0862458983692127,1.021452338671125,0.8603556172061092,1.0088574607486138,0.7779274645849539,0.678360637600377,0.7460848997468701,0.827456528665487,1.6174017824850355,0.9763323492964281,1.3856554636031269,0.879739881961957,0.8503342609762415,0.9880669970100855,0.8941822980930932,0.8480205736282934,0.7414911121613328,0.929793076749377,0.77379782443938,0.8853146959860909,0.7533483364994207,0.8683691631015336,0.8511187661633612,0.8498574787387465,0.8592913903361682,0.6417991084346019,0.6938233798100553,0.7587151272070871,0.9394125362506811,1.1362872195159015,1.2753625195162948,1.3243254209642465,1.1784774588086373,1.1839156823412045,1.3623302673575424,1.2934852505454737,1.1903086498248805,1.4464610831228994,1.6159246864322694,1.4224299508832492,1.35122702968735,1.5633783727323494,1.6535230423513563,1.3010157177354595,1.279423180895948,1.094099569846101,1.0660558872176569,1.0557798145370216,0.9131991520121406,0.926999813169176,0.8327653695563986,0.774365862376063,0.7342794869168022,0.7461458200032408,0.6661358356232253,0.6941040592520565,0.8757744823347305,0.8030387750681304,0.7915414614887978,0.8434665010777237,1.1311509590908961,1.0647709965162198,1.112538770980815,1.3019394445442987,1.4778063621847255,1.1545769865339865,1.077720833822788,0.7253250084872768,0.6565366898009073,1.2732022524448816,1.3560310202630592,1.5664911593760327,1.6529649205217156,0.8978930191065725,0.7024117757730981,0.6416565782573713,0.7208143245480927,0.9181745025318628,0.8499142730464976,0.9961391157166608,1.3470177155023253,0.87492300738127,1.122571884565305,1.038578186426647,1.1353273258343934,0.9699357916387744,1.2733432903288515,0.7802275208008506,1.4486977901472895,1.731230087033982,1.8639829581599698],[0.6123500227474663,0.5615008985844646,0.6148892304656172,0.2787470383340154,0.35796545817419934,0.5419494520523961,0.5099718260350802,0.5469220265168526,0.5196070622002097,0.5125714818354163,0.5117961923541117,0.5798481601718605,0.5222230508921568,0.5136064649502694,0.5773336148558633,0.5167968352393705,0.5182015822238873,0.5279049223695383,0.5633861482346413,0.553875338981103,0.545791034803025,0.6780461868226217,0.6882727149853882,0.6788882249862582,0.6579946770903564,0.580068432825301,0.5308254672838973,0.5251352385720763,0.5214711151375448,0.5050599019758919,0.5316308392902144,0.5753054986008308,0.6140621591735683,0.595423058530739,0.5431065125788268,0.5217047533321794,0.5410999124496686,0.5327420419428817,0.49453231209571186,0.5101741567515272,0.6033748481549842,0.6109068378525275,0.547595672237851,0.6408675361569105,0.9497375639572282,1.1831104829191033,1.0331310900319515,0.6790528052304973,0.9765293490009116,1.4794293775206473,0.8421341721775136,1.0938843087269239,0.8868094230176962,0.8618075718575424,1.6137051124561674,0.8865838101473098,0.9253696580473861,0.8221109908239903,0.8159519921994891,1.2139042711303012,0.7187091483012203,0.718700095231304,0.5869194401271354,0.6128823654485241,0.6445626428824519,0.5711509113612299,0.7280249132827614,0.6173435504527965,0.6865301436673236,0.6863325011611476,0.9008699069995716,1.1006454072158818,0.8343292155419104,0.8203002180858061,0.650875609284143,0.9417210542553801,0.5587331335847069,0.5577788787716725,0.5892499817545569,0.5930031350350171,0.6105641419030824,0.7186070872737812,1.153062084999996,0.5896731666647644,0.5658728425754377,0.5607042579889292,0.553032493282723,0.6582463132679331,0.5268017498283508,0.5968273843508172,0.5623393233532936,0.7200197496167233,0.5891144684529469,0.5612481981679212,0.5525147654560771,0.5919782304032645,0.5975897925595172,0.5887139294194005,0.5939465302692858,0.7898813141671073,0.637093217100599,0.7662277013628797,0.5974819719077272,0.6954453952578231,0.6772958281992086,0.6952324761441051,0.9499645633203757,0.6315364100093435,0.6425888324444541,0.904895966001877,0.6238160952141266,0.5055192789496538,0.4732344573657027,0.47843249574344027,0.49850086490164364,0.5178826082641421,0.6362623080187839,0.553862188074402,0.5904688353427492,0.5619737201234761,0.5922578923786476,0.555474913040833,0.5783252764805601,0.5289464498641129,0.5106803056712684,0.581946502925602,0.5663698706479376,0.46756195310353105,0.5157530238759842,0.5702644983796573,0.45216101001141834,0.5697211755145938,0.47495012838816564,0.5856668757769253,0.5163436044420845,0.6066981245911722,0.8790572302632382,0.474146720083301,0.4707712611769679,0.46555896373239997,0.5689412637663097,0.5942155151417463,0.533868208789378,0.4984178697782393,0.5083321056730167,0.5329946899003528,0.515774552608315,0.5132332478182381,0.4868508618541476,0.5564935564566665,0.6218242710032983,0.6447786794866481,0.9363232523062986,1.415654861386423,0.9768218462815018,0.7280434644735183,0.5971479819513673,0.6517257590171626,0.5603660413100373,0.6099216845080365,0.49606315467369516,0.5195483722511064,0.4838372121134873,0.5024661533489132,0.5020819961273645,0.6751196162230974,0.6304790094715649,0.8378521314821414,0.9371805540632682,0.9107830386308222,0.6432975258965126,0.48466225030166576,0.4669919346034413,0.5059382657766933,0.49459918861385177,0.5568189879446704,0.5734560866304137,0.7571994193513374,0.550488006388984,0.5716551212271701,0.5526827894011115,0.5451544095292903,0.5315259150842135,0.5663623154170041,0.575506458183492,0.5678044399010775,0.5463849458449337,0.5993960590284889,1.863057328082137,1.9299017986185385,2.4564793509874097,0.9195986301641768,0.9181873542433656,0.9529077420776005,0.573451584451716,0.5262625582445627,0.6704802985289273,0.43575109078164936,0.43822606526169683,0.5698072568810608,0.5650376643625291,0.7718743834690992,0.6397829856375561,0.4864508471026689,0.6790630016367755,0.8144403726620084,0.5394029810405986,0.5399083512277671,0.949519918838849,0.7941895213428918,0.6347005283315855,0.8099610485486142,1.075881873975506,0.8517327975861619,0.7772444121475346,0.7168205211353035,0.8910343054883337,0.7406355008691478,0.5908810535819434,0.643373661497655,0.7449922559394034,1.7769808975170927,0.8969313107116905,1.316186008706607,0.7951998818574558,0.8226650151331782,0.9794411484695229,0.858008404047508,0.7873807588078071,0.6536554138830605,0.8581937814314721,0.6430610407602748,0.749725479345902,0.61885127844555,0.8471602797705204,0.6892870136886743,0.7236367861988138,0.7724169892752674,0.4857643161815093,0.603279009128334,0.6998107700892169,0.9125082641841364,1.137875232050805,1.287964182898461,1.3453227401481855,1.1706001281127396,1.172695280536713,1.3901522023537833,1.298370777316495,1.161120417966009,1.4356033146759886,1.6091833662018618,1.3568513036097227,1.2808209044123513,1.4980850416811688,1.552277213362252,1.1598473293423326,1.1676834445864095,0.9836740638252062,0.9876711382221145,0.9896305439313027,0.8491321048994785,0.8324260015295442,0.712924805935556,0.6788996273811606,0.613304903433463,0.6163148346940629,0.5316504344613764,0.5669673698135819,0.7565636748909907,0.7030187803886528,0.6516945003200532,0.7343979825409716,1.0338788669831689,1.0142835376888704,1.0956420156427131,1.2731104074801944,1.5108078432373848,1.1475751509687941,1.1797331528511843,0.7499660516155575,0.7138858730985309,1.5302434313584596,1.4367241752987951,1.5426442881963967,1.582145214348278,0.8432528475418151,0.6107101816532773,0.46585762130586456,0.6010889442004491,0.6891869362094056,0.7402976968535421,0.9185767223355501,1.3956538779668923,0.7813025441950202,1.0005406983736862,0.9964329322822014,1.1904234355040983,0.9509228192471383,1.1347117856727675,0.778981195074718,1.5602992852247257,1.6516220869137115,1.821721765315789],[1.2113397579650447,0.7814620603473819,0.6298754979210395,0.2807239102190778,0.35055580304122846,0.5011568286091557,0.4172710072360369,0.49294672704375886,0.4070673316014605,0.3772060117409827,0.39145249791269626,0.4977654615450076,0.4183472588206304,0.36790490993045794,0.4829682776068055,0.4289798792237606,0.4331128538447334,0.4302193321042034,0.47345914871604833,0.4614949103924142,0.44483152280599614,0.576062659799834,0.5917366412002013,0.5820013449154311,0.5369870377749749,0.4662577959172386,0.4095546787244359,0.39993357642881655,0.42000559361473505,0.4251854960937209,0.4519675368430996,0.4982327155922958,0.5523880477885946,0.52573040638913,0.4648235133393337,0.44001922651356123,0.46706103981877045,0.4447612552808598,0.4202389084805913,0.43896176765839634,0.5197056324268351,0.5101415274586317,0.47993399464084824,0.5519830571966444,0.8652668667188481,1.1021563739129197,0.9390952018710336,0.583559786232744,0.9177885203499734,1.4132257208168189,0.7668651549412867,1.0486494754924758,0.8664088375654211,0.8296270358858298,1.5527889705524083,0.8360440412492626,0.8978158382491237,0.7727551131707443,0.7624621890962049,1.2153883667956715,0.7141089054782482,0.6176214630591027,0.5166828460126853,0.6298884354342781,0.527975084740857,0.4716723207082212,0.6675766433031256,0.5649264994118036,0.6384150095819361,0.6404774884780546,0.8652210572284865,1.0633564737355612,0.8464977399785364,0.8186774219010123,0.5796714973365413,0.9373147575958656,0.4856304397553712,0.49095213982040575,0.4952683960255038,0.5240597033045383,0.5659315102077753,0.6275081345250366,1.1586964249382883,0.549996939002019,0.5112105591527173,0.4981450743953362,0.47177986330030075,0.5959408214179447,0.44089259239052925,0.5133632536393168,0.4962722583955847,0.6862571695736643,0.5293821318798632,0.5046910752806208,0.48906733507869943,0.5333621348634513,0.5271778057624094,0.5215604232488308,0.5379694810862535,0.77105684009012,0.5960124682482733,0.7671151126676622,0.5589193209660117,0.6743922904613262,0.6720115879045058,0.691780967572186,0.9665677069374942,0.6418979146858079,0.658718411879342,0.9201751864967499,0.6023406782113301,0.4862489036060807,0.4044151731055432,0.3941864136669525,0.37122221266862776,0.3769583267098253,0.485781012614239,0.4215421748054793,0.48655076328563035,0.46731751782475384,0.45485011824192323,0.42108078237448543,0.4081668247774804,0.3647695029722796,0.3637311468556413,0.4683244834158508,0.5456233912639031,0.4291588643537168,0.49020547199673287,0.5656077248693135,0.44761415769195895,0.5578442028907532,0.4689461975848378,0.5818925767528832,0.49206517685617646,0.5632240757728162,0.8317906637731111,0.38583715872763225,0.37009493146444195,0.3544367228266219,0.5010347761637319,0.5149286543589017,0.4258609870645414,0.36611416767421173,0.3864123159085734,0.4167441180637056,0.3874441750377586,0.4318232732367605,0.4176670013188819,0.4782778984483051,0.5851311703816865,0.6044944662682571,0.9339565638096932,1.448861673062734,0.9736383712737948,0.6981422688943927,0.5442580396908522,0.6264809185554193,0.5051084637097328,0.5925331416074937,0.44254528623671663,0.45199934700919475,0.3876676695202805,0.4144363587577915,0.43087342329347417,0.596867711067241,0.5575094108377553,0.7566549135040502,0.8660352217624715,0.8254789693663276,0.57673844987579,0.3970677503257619,0.4138694958532017,0.4598814818496011,0.43940418700503836,0.5292722427146083,0.5296635844141082,0.7578079306783534,0.5036878674246331,0.5467386736795805,0.5089094929241899,0.5186623756773915,0.5037308794875276,0.5400156472622148,0.5379275535805318,0.5217922819076324,0.47802343181262646,0.5439244218589763,1.7071562318610745,1.895907384707268,2.4291510064477713,0.9045833692584289,0.8724275339046392,0.9521575027188853,0.583882626258085,0.533012687879946,0.6841165366802178,0.44429506437076827,0.45239044839291703,0.5712425036864626,0.6328611083874581,0.8799504591911526,0.6976209677807031,0.5306639060083582,0.7904129966380924,0.9095137392845499,0.5797853925399384,0.6007948991959905,1.1166451660560468,0.8714258804631494,0.6781283645758569,0.9420767949990763,1.2391647834802824,0.8780630498155177,0.8122774916997896,0.7343532888238625,0.9480116898700923,0.7401747442558217,0.5938652199248039,0.7136974327910891,0.8658452353616505,1.876894159001192,0.9590848655937294,1.3424825343253666,0.9082032571613103,0.9839970016945204,1.1398529627592022,0.9883508656888094,0.9042015669086801,0.7355723810327902,0.9356759416281516,0.6733060942707344,0.749870111437761,0.6315509593497665,0.8653504751181893,0.6972918013959943,0.7269137702954388,0.7783377941676223,0.49507228004493364,0.6524916497673622,0.7966782202847889,1.048253935744723,1.3065745367643968,1.5102863293131386,1.5701372121609491,1.3426513555427082,1.409673897548024,1.67110750852178,1.5223243598847946,1.3804090349711142,1.7373968969863387,1.9223739918798797,1.599776874013059,1.5604958717785609,1.8461681642545857,1.8768134905206646,1.4189481137136157,1.4568018417419728,1.2025907528512754,1.2297188559330117,1.2139939950795935,1.0607588445989564,1.0169603797335,0.8488762092541624,0.7995311271555662,0.6992255105544851,0.6636106070371568,0.5572308311808929,0.6012863783584295,0.742716385138087,0.6673469888572079,0.6367272806230387,0.7281168368368189,1.0369685681156073,1.0154693231385232,1.093860666955866,1.2896522633428387,1.531193717996811,1.197293394292479,1.2058504745747913,0.7263286580445866,0.6819192615394358,1.5436018476069542,1.47547639518127,1.6217804805469347,1.6404508469008283,0.8374761188906437,0.606190253021469,0.4713929863697155,0.5996753933009087,0.710376733791295,0.7961497467884375,1.0428403281052805,1.6107950284776003,0.8116273497804174,1.0626130609427382,1.1687749907943847,1.4107898737930389,1.0084795532024504,1.1693422677989043,0.9993532068777233,1.6781903370547053,1.8617178079857988,2.131158755919173],[0.9729383059914583,0.6315861694492649,0.9145990150703751,0.5455705867140265,0.48359344155420214,0.5607480887307215,0.5476345323022855,0.6933943814929419,0.5615387502260858,0.5198755538411783,0.5691628193527726,0.6939873999889139,0.6151738986767492,0.5144429551054462,0.6504290096935175,0.6365859586412599,0.5948089068995631,0.5897289588273329,0.566116296039126,0.6099828250566048,0.5829299432505473,0.6833595691813283,0.6862142451363894,0.6298826138102689,0.6422300070985533,0.571130493520355,0.5432990847364297,0.5557784602701155,0.6164610142128543,0.6571668937961125,0.6520498937243572,0.7707313012982027,0.8090686957437577,0.7680552311688381,0.7220000524221832,0.6770790237121865,0.728611155875419,0.6520412425442305,0.611711653104198,0.6335923210970229,0.6333590641746486,0.6106113615207757,0.6031963574787598,0.6745166271815511,0.9087281206311627,1.1330341230991128,0.9480883697194709,0.6939262457251056,0.9514595517079576,1.4524434269886712,0.9148265642114848,1.2043610093969577,1.1000659471227467,1.0796875622269606,1.732184107176752,1.002916105917206,1.0337423806480008,0.8679994856224872,0.9486675577186714,1.1801718491096969,0.8199715874218233,0.8020905946867753,0.694149942376224,0.7698197223647884,0.6820517840193605,0.6576884327204426,0.7882976908188065,0.6970023162518169,0.703696115833256,0.7270110953128646,0.926684320537832,1.1350969766379935,0.8970273906225265,0.8477486716119589,0.7554568119605323,1.0706468612905315,0.6908381048629587,0.7159400396077268,0.7233252276517083,0.7774547034031688,0.7987532844708793,0.8396940287461495,1.2620863154806328,0.8017399536889503,0.6974413870861346,0.7054608556452676,0.6886642989135925,0.8186687162693954,0.6782093812579072,0.7700986676622952,0.7158643704060311,0.8605541465399027,0.7270489953227688,0.7450892134457144,0.6925137171078868,0.7155051133353525,0.6675366117903885,0.758267237187168,0.7926533213461422,1.0100804375143568,0.8569858945508214,1.0016284117538983,0.8381306316827507,0.9191777796219632,0.9140892120391788,0.891801893559604,1.1763998008363932,0.8190737945618997,0.8109505710180136,1.0378832762062113,0.7646945339987528,0.6791798133105603,0.5892175526428093,0.540529378161086,0.5248961201899589,0.49186598045352964,0.5960256957829798,0.4924628677688051,0.5509114804153734,0.5714788044405336,0.5176118034412142,0.4906801844724078,0.46326845304768827,0.46741113732033196,0.4874903536295204,0.555156609439649,0.629864284440831,0.5708983505292357,0.6270641569575882,0.7235274667261774,0.561081587108266,0.6918916465203904,0.598791355220335,0.7609270921497368,0.6198713132916447,0.6593706246282619,0.8506084484002744,0.4958444724169092,0.4939711253044731,0.4774373709332564,0.5225125387445102,0.5525707087387657,0.5066155432512468,0.49476226273935997,0.5357915699088112,0.5628849981117495,0.5353998103871053,0.6164568863226396,0.6231682363129677,0.6716343913984861,0.7915243289572336,0.8156506630869528,1.1222969967355945,1.4317170317141017,1.062933894152818,0.9151657984959316,0.8057951943478718,0.8767321169684803,0.7653852695240255,0.8258252799118811,0.6407425816029235,0.6569319156967859,0.550128826940074,0.5913531039063538,0.6006891177233427,0.6837879823405535,0.6263208889889832,0.7668565290918719,0.8701393947882824,0.8444778804185724,0.6452438037385518,0.5409084562502326,0.6001806838302224,0.6530119975682317,0.6645665357097847,0.7816224858709363,0.786869626125127,1.0271728770128146,0.7551662085135544,0.7939227005743541,0.7272741500585971,0.7358772344868475,0.7179517243386963,0.7012374477781568,0.6834881412436226,0.695284905429001,0.7023952365481931,0.7413979145231059,1.929393000732307,1.801867723292603,2.33803630694913,1.0561949168435263,0.9128273531496472,0.8526939818102618,0.6341008563981007,0.6194444697677971,0.7644487891806414,0.5703067974308618,0.5409336258846978,0.6289003178889466,0.6781262593697331,0.9131115575330355,0.7089756163731232,0.5416241818087125,0.7484577407731914,0.7925925256724813,0.6459149280026344,0.5488627122385011,0.9487598525678972,0.5921174694830208,0.6684693561196583,0.7008770267967722,0.8398715888717935,1.0014584600419785,0.9670740479746253,1.024383488451518,0.9595867359681862,0.9511912847827972,0.7209643515228323,0.6844228328869711,0.8483499248616265,2.1387228821038207,0.9199792508221225,1.3282669746479112,0.8907525155574215,1.029501188282162,1.2109107212223649,1.0839362759372964,0.9438453274196623,0.7722399054801247,1.0100667840093693,0.7253475812573213,0.7573153295230639,0.6918901333868552,0.9692728731327845,0.6904527501282625,0.7923034384253378,0.8321076846767533,0.5873087701813667,0.780183607965476,0.9071656029489019,1.1196016977008152,1.4381374228641755,1.6558291287605333,1.720702554053665,1.4647604188913343,1.5122850271196193,1.8332006392652234,1.6606786219093166,1.412684137238815,1.8022196042817367,1.9916095510286316,1.5361869531977852,1.5082989838617462,1.8164474846880012,1.7636787989651894,1.2190038882571552,1.3113362705492824,1.0603000892891121,1.1647725025672984,1.1964313122437766,1.061976412215002,0.9469607431467233,0.7664838190519799,0.8023582368772919,0.6687194313576348,0.6236224212241221,0.5815318234274803,0.6335878869076818,0.7657585099407224,0.7828108938304401,0.687364462563627,0.8149859752688388,1.1172623676460283,1.135127417522981,1.2786546020992133,1.4507915345787297,1.7431145044330043,1.4379306137809678,1.6111843010111613,1.0662889295941786,1.234165083223857,2.078143481710077,1.792111630737957,1.8019704133652763,1.6870054264547354,0.9423358376044993,0.7498562337123786,0.5480545772562518,0.6248170746894307,0.6098897892700442,0.8422346656442667,1.050948968147446,1.6765492577028585,0.826459804534252,0.8434633071039477,1.23866031765638,1.4922862178864453,0.716241189636243,0.8933034083852752,0.9840916279312079,1.3060484878196914,1.759533984863093,2.0136762251653733],[1.3884920200834667,0.8696015196606732,1.0755606332101266,0.5868294809834329,0.5982586327084399,0.6330437319335664,0.5561690150821981,0.6978672954876948,0.540089661003036,0.4902680520452735,0.5541682325913728,0.7108492045395945,0.6106312401873503,0.4694128720510235,0.6777049316472933,0.6548756426332573,0.5830999895106523,0.5855161853879755,0.5491576109969856,0.621552285659673,0.5879551905650441,0.6921283698482601,0.689108151343838,0.6122417610260017,0.6113777741896212,0.5550085433215075,0.5436146588221963,0.539630790275917,0.6168836439063614,0.6774292906097056,0.7076938389849575,0.8136005618809143,0.8861494129059657,0.8473094644762426,0.8075289734008592,0.7181353464009166,0.7760036543571935,0.6746716633931057,0.632418439698844,0.6813162474553788,0.6590776095659652,0.6230472455050848,0.628873030710242,0.6883937384013796,0.8914262103685052,1.1270718708347789,0.9607947773045845,0.728938123513827,1.0092119837703455,1.4926643629145155,0.9533119452965353,1.2465752241815076,1.120112647539586,1.123052595296462,1.7533202507584504,1.0103202502170525,1.0521484391457052,0.922336218464015,0.9977536938202853,1.1727149525865712,0.8224616475509898,0.8365334798292867,0.7450335921855459,0.8538617371600298,0.6970550390396774,0.6829870670621211,0.8203874058958235,0.7519457868960097,0.7032284451974677,0.7526391759552824,0.9020118443643198,1.1329082390296872,0.9857277198077611,0.919711103969399,0.7814003575263017,1.1531926160744774,0.7501349445391238,0.8104978485942723,0.8030770485721981,0.8102553433599058,0.868606569065655,0.8986068124660338,1.3224984133120845,0.8985486487569094,0.7380801013830651,0.743369613886895,0.7264395053436059,0.9006366135883991,0.733103589816663,0.8369327927912683,0.7879938486198398,0.9101603621343908,0.7983166411290603,0.8162164379407599,0.759084753073375,0.7743064249078221,0.7235860510759083,0.8256890973378431,0.8616764947985359,1.1413730544770901,0.9417165153192096,1.1154672276971846,0.9314650129030216,1.023131359974305,1.0163170226427685,0.9779660463561713,1.2586403760754359,0.9263372761553101,0.9214420748551325,1.102385071771004,0.8393344484562588,0.7221120381503858,0.6003886878035135,0.5505173594560624,0.5149783477496143,0.4815141308692908,0.5795344632612286,0.46983399338665566,0.5097785470808104,0.5466707698939505,0.5012378662287373,0.4677439570285987,0.44887781560975865,0.43996508227018816,0.467671766672678,0.5917989498201266,0.7015385062183007,0.6467332023725222,0.7232157835416495,0.804325020606705,0.6956169646159333,0.8322940928796222,0.7263191728338655,0.8677420114628741,0.7253731563375889,0.7306324423646818,0.9572531775457327,0.5606268460555337,0.5223774495190601,0.49700231333443384,0.5480644155727606,0.545333822129737,0.5061788306875646,0.4811290721032383,0.542220195156417,0.5724736680841832,0.5390158928081208,0.631487431951408,0.6494449779687623,0.67453460118154,0.8445323780178217,0.8620636811783166,1.2682903633221565,1.599598532069938,1.1768530422345684,1.043096947391116,0.8577365346605266,0.948667591810167,0.8054769644287428,0.8831557572111832,0.6962160258538067,0.7033416941708158,0.5849567032723503,0.6296199752421372,0.6478412117306029,0.7195319722820759,0.7031191367218379,0.8424668689570671,0.9663504281551506,0.9234606940017474,0.7307148674196877,0.6031723174745311,0.6633533875121339,0.7155732086257527,0.7182073270092842,0.8470741299750657,0.8251602091996021,1.1185471731350816,0.8280700148447381,0.8809460907196296,0.7899697536959323,0.8182267397823068,0.8206221211453477,0.801884910432267,0.7564550562213354,0.7519246878363646,0.7428479648696831,0.7869213042657073,1.9227679808829912,1.8171713682122117,2.3531082672360943,1.11929655723561,0.9834038615501025,0.9417284567172912,0.7628867886453387,0.7841413154106859,0.8929482865206534,0.7580049595999151,0.764991559499382,0.8131304112132945,0.8912802904942079,1.0666005749094332,0.8690147452813514,0.7889745847360342,0.9615431628835711,0.9566944654954027,0.8303372137105665,0.8055775864002387,1.1132320237392153,0.8182097109615452,0.8907458076422553,0.92518824247753,0.9750877534598867,1.137473310884505,1.1846151623718948,1.2243211552924644,1.1293615478004686,1.1498311973231012,0.9545439506564668,0.939027220648182,1.091278648671896,2.326046411731517,1.142486278015946,1.4581509611610775,1.1173547153789993,1.251870775307045,1.4163044487794672,1.313142361176346,1.1631911378118656,1.019353730258332,1.2530778475444373,0.993655082502972,0.9869110950581305,0.9627222249374904,1.196099056265926,0.9213923640819974,1.0037827483646118,0.9595986808489203,0.824165644066896,0.9561373293613614,1.1143259937468422,1.322558924761683,1.628328506845402,1.830214535534863,1.8655394011071647,1.6380517349617538,1.7042080360920644,2.004795889345648,1.781670708593806,1.5407766338067712,1.9345736546117098,2.0838377613089523,1.602037599123514,1.6543541655334777,1.9665538870501194,1.8263571244060093,1.3463459438843133,1.4742028784844585,1.2532573720086784,1.3676690018287927,1.3849644444108216,1.2904389368524987,1.1883124837993255,1.008253455029505,1.0435609205812488,0.9480067109115417,0.9036590177784509,0.8500836638011832,0.8984280771193961,0.9995867729933616,0.9817177208037199,0.9005431762953696,1.0235370926575427,1.3138591801944048,1.2902365422429862,1.3879153150982937,1.5504814248129215,1.8089294536645892,1.579495456398069,1.7226504840093568,1.200926070439196,1.3088905580273833,2.113643539725773,1.8296955636269192,1.8580323183326135,1.733347167055156,1.0443241150189717,0.8798510937615174,0.7472533661525911,0.773550045292348,0.7769249892094289,0.9537984662217025,1.1313783640163058,1.693913956282168,0.9077967186017736,0.9105091654560021,1.2445701456348648,1.4702878001256952,0.7752028758415732,0.9584542234791036,1.3643700607798106,1.4764797504300589,2.53916299421589,3.1541023934290155],[1.2665719465585967,0.6898325561277882,0.8647658573223036,0.35772072864538634,0.4344878716774693,0.5125286896798104,0.46995251101409596,0.620868739660608,0.5346316002276167,0.502401605011477,0.5540300460228544,0.6735735278307853,0.5880283779608123,0.4992170797242304,0.6838789980787068,0.62507354853075,0.5816807938934181,0.5910196671016634,0.5824443127099189,0.62482043867415,0.609751402831962,0.7273754596667474,0.7167575134093764,0.6644370255068334,0.6521905310024769,0.6015035505871353,0.5570876917036449,0.550989368937345,0.6016781549862489,0.6294205644187493,0.66375956013283,0.7278350343750731,0.7792963806559006,0.7503268507303227,0.7244347490427493,0.6621990458282168,0.6857520535427883,0.6391612385513351,0.571833104518051,0.6065104328274674,0.6028822754210895,0.6402284511328964,0.6316797216560197,0.6305808381454938,0.8129152338617852,1.0591909458539954,0.9101830991058496,0.6989675437697412,1.037664840092255,1.4979772110332445,0.8683436262090709,1.2055513594105054,0.9846805594412921,1.019817267309991,1.667125357381124,0.9196508660146983,1.0078280492987772,0.8327583143750802,0.9220701454971871,1.1646217898584632,0.7944963983008516,0.7987155598010244,0.7460234549750909,0.8587236521552154,0.7054371628264182,0.6683719846261204,0.8350918307840299,0.7477190662083829,0.7450964940025809,0.7655612625655778,0.9269176706087817,1.1937521119233196,0.9797312195513329,0.9487245147433574,0.7667754696946305,1.1030157528533724,0.7206187602636025,0.7255930462916286,0.7254110695951087,0.7259707069560452,0.7606599678114426,0.784910384283729,1.2837034344300247,0.7884887413974898,0.6550254523627006,0.656910944943499,0.6649491304985805,0.7890265669040952,0.6721660037138008,0.7409585264390696,0.7162394040972012,0.835412562574823,0.7298735226396504,0.7319300454322467,0.6950915004974162,0.7276562076814785,0.6884795674652783,0.7412527333145754,0.7624429478602163,1.0193714441729274,0.8310560334546848,0.9876293281529203,0.8151752485414983,0.8852290860369605,0.8737612030454176,0.85625861008162,1.1060930061686316,0.772164998193919,0.7615401220264038,1.0007181913006702,0.6810066155626561,0.5822308388616251,0.5138819016488121,0.4923688825790031,0.505452651290402,0.47597449818719073,0.5986899361148955,0.4759691469047387,0.5244818278371446,0.5898575513278783,0.5461833509905146,0.5016152150498476,0.46390036077082347,0.4261430185661632,0.42625012147971614,0.4978200563693077,0.5982617195847645,0.5224567559827129,0.5667082015728336,0.6795559714255008,0.5298375127610927,0.6476406653348922,0.5680755782793409,0.737612053447898,0.6150294563679279,0.6760236000834351,0.8733217340491533,0.4765748601820059,0.4587601653434123,0.45224175564795405,0.5587374282801987,0.5338675718104992,0.5168019564208605,0.46266553217056394,0.5189914292066135,0.5447924397915275,0.506750252835922,0.5837182206087922,0.5790569773185997,0.6277305944685347,0.7250014386607997,0.7790292333869346,1.2157792179518236,1.6550464220804002,1.1272651828588216,0.9499039565408627,0.758112443402732,0.8406676474062529,0.7197910798246051,0.7826621289274722,0.6130435433924829,0.629078813873654,0.5198794149667764,0.5472557201601307,0.560626375115657,0.6624740031385643,0.6157081904704734,0.7559334246309559,0.8656167462328237,0.8565687727568039,0.6413997591791443,0.521737009237718,0.5610547930360031,0.6253752092246861,0.6355655113702372,0.7289923781507687,0.7197687409410655,0.974191829348534,0.7094212639684297,0.7697543035977,0.689380507764905,0.7087251505379185,0.6870097433970009,0.6621852919388816,0.6292207827292404,0.6528786560726869,0.6491572687535718,0.6575231024691807,1.8213473762471757,1.8748214298182089,2.460393475278708,1.0609546441981204,0.9375130096692377,0.9252604277979346,0.6486212036100453,0.6145496444036743,0.826083215327383,0.5527628685647681,0.5408796938257366,0.6159155035529781,0.6977737203601408,0.8984050860382721,0.6854777444319209,0.5612904003301619,0.7707119702220404,0.7779879650916092,0.6449957512553689,0.5952365192021328,0.935584082885609,0.6243912761253985,0.6733407316197,0.7341877198105173,0.8120957772518755,0.9066665684045583,0.9318853567149386,0.9550924852538414,0.9744343982133555,0.9406191498098871,0.7438550041389193,0.7360054128883609,0.8959539887175304,2.2012857896534896,0.9764061889896827,1.407965226566038,0.9715475164781134,1.109308460379009,1.2778929227268805,1.1685239092397421,1.0046270972602358,0.8239615367912084,1.0727781395968305,0.7752833731668184,0.7698469581311724,0.7217397234492231,1.035558892655224,0.6814824769987391,0.7904317843472876,0.7910683113433171,0.570713552776371,0.8080392454467551,0.9521517452933072,1.1553273700449116,1.4847281508667187,1.70098761711343,1.7571668019339617,1.486704045618533,1.536048320511879,1.874198035609275,1.6532202244907988,1.3860339261790102,1.7725049163786872,1.9137673232555774,1.4321488921927639,1.473284046589445,1.7691399271449666,1.6043226259732042,1.18771435813042,1.325438329318613,1.0986828290008204,1.2021158017119855,1.206348458837726,1.1072529301538454,1.0135794427692233,0.8072773407268564,0.844189438737273,0.7352020478572537,0.6927029755830083,0.6250465764159815,0.6793672886673511,0.798727435109819,0.7815610240174666,0.6936460693818493,0.8292481328821897,1.1245470240244562,1.117332877577895,1.225991273526937,1.4098273858900987,1.6653327267872855,1.4120089917509162,1.4982980388237173,0.9787988801750159,1.067943684326793,1.8682615666199842,1.6532025518941809,1.716445896836584,1.6420924942662618,0.889523979716351,0.7117804962242896,0.5355237070350617,0.6063910760857674,0.5978577706703231,0.7824252732619618,0.9650237897562634,1.6751761080294787,0.7377271261386046,0.7479290113482677,0.991772666946488,1.3664621109948973,0.6634084497852348,0.9312673946418114,1.4083408479533965,1.6569060466460157,2.7200696863709366,3.1267988983421584],[1.314618776205549,0.6905947298514903,0.7283182351238661,0.3591732477624063,0.43642134397527177,0.4114008595748173,0.29786870514163327,0.514226011551977,0.4036140163427134,0.35362653856826726,0.4220880348477461,0.5108633598440581,0.4287557638453465,0.3516518927386308,0.4935443871119636,0.45658654400800674,0.43906845712302445,0.4288847449659671,0.4535231505139315,0.4562918681070589,0.44632692009767044,0.5643160655636232,0.5835335338757643,0.5781404746918838,0.4968814945069304,0.4394070262884197,0.3996068631285667,0.39719955442786936,0.4545438760036868,0.4817260452085848,0.5139786314503507,0.5620959417701673,0.6324768447917628,0.5825952261827813,0.5426181104135569,0.5058142578162802,0.5322795728935691,0.47478603394734203,0.42170602615525465,0.47679266584498625,0.4516732678283643,0.45035167808236576,0.471304587257053,0.47844473345214233,0.7589790915373773,1.0395900425959552,0.8348602457736243,0.49025107157754855,0.8917264832264524,1.3592226975555692,0.7953621244751559,1.1649811672753265,0.8416301857893786,0.9020410124993229,1.5165816665858098,0.7809554326567484,0.8534295150216481,0.802003951169788,0.8218390022734027,1.1332713035885305,0.7836870348706648,0.6547113379936648,0.5921409490816851,0.7174117193611059,0.5421362147744487,0.5028726076986663,0.714484501878095,0.5974021149017297,0.6655845847682573,0.648541982773372,0.8686380587335829,1.0985349435973146,0.8948584482182791,0.8516666085424884,0.6149315837398434,1.000317481104787,0.5382225107986289,0.5383334975754523,0.5459012372074973,0.5780972918698094,0.6154670821318047,0.6587859705950087,1.2695700289399903,0.6270843530169277,0.4863269670114019,0.5208891435228111,0.5225052926081445,0.6711755517260399,0.5083746697784424,0.5811757063178177,0.5355133920320794,0.71770154507999,0.5688243325770855,0.5437394492248078,0.5182203285008046,0.565656004901865,0.5385321583832036,0.5847494337455892,0.6138780854895932,0.8609996123206067,0.6833987269211034,0.8358240880682182,0.6491207295245852,0.7367886533504922,0.7215513844053211,0.7393615532183325,1.0136935370428932,0.6249208617400243,0.6291812576157252,0.9027189886595371,0.5828418674767026,0.4355901029569913,0.36296422797505035,0.38003703393150146,0.34852336885319546,0.3573351609146341,0.4407746130237711,0.38063794996926364,0.4551288830572492,0.4441579557463251,0.4171019159307015,0.3815577427341588,0.36156328508159613,0.3306669448196754,0.32792808365058296,0.3645467478365253,0.4087481014686086,0.4084987327724072,0.43470611144631244,0.5369565155891804,0.4624007850574467,0.5941290874715025,0.4619285786957332,0.6024474249243313,0.4608426186263921,0.4836346426574764,0.6954684830263371,0.3840531967186858,0.4136796212631833,0.3496812349926574,0.4971063240304388,0.48342211055963735,0.43432731049581635,0.35837021620691684,0.37132367636901836,0.39552493613165113,0.35871271959874823,0.4258811823428088,0.4162239859484037,0.4786215249799248,0.6169731147153189,0.6732789337268003,1.1016741790374345,1.675238280470681,1.1376959390627526,0.8097101750503136,0.6278012477653603,0.6984742191439441,0.5732981592433679,0.610961511931191,0.4465179477211136,0.46250176491492667,0.36271277416072617,0.3734108812391245,0.4122271394314701,0.5462680506086246,0.43654352880381536,0.6319310267751638,0.7522500690303545,0.7197449157278735,0.46920617866616143,0.376875613279307,0.42682087277246583,0.4515503786300585,0.45207085328441404,0.571140386125109,0.5927840217471384,0.8246132467166288,0.540505969869272,0.6112133516755657,0.5592415320418718,0.5493882170391281,0.5514287887597704,0.5099887088919454,0.48057961918504466,0.5051958642962572,0.5581730398520277,0.5536813843997187,1.5667318483354598,1.789923528671106,2.2867506618790108,0.9650524267443731,0.7725429175193954,0.9379431616554889,0.6011437037020115,0.49273614245908653,0.6150839622529739,0.4450100454014886,0.46456487068103686,0.5662189835953473,0.5376478918163186,0.7156274211548668,0.5485143493994599,0.4767595014954378,0.634146123393987,0.6643029009851146,0.6099709737519794,0.5260261957846926,0.8647183796661758,0.5944321943221363,0.596735577248194,0.7190827622079182,0.8523822189242884,0.7917582253093867,0.7786930737809605,0.8045811090751777,0.9307936155077798,0.8472450724196288,0.6564195953300481,0.6746129066895653,0.8228792059173758,2.017169852163185,0.9136455542398618,1.3755032160762872,0.8517022132706172,0.9296281246862099,1.0676590627446008,0.9640131859456018,0.8296811993865614,0.6713668913797546,0.9084525637741364,0.6337815610054032,0.7047123182615272,0.6179650863716831,0.9329179892380647,0.6613799389614645,0.7841988316467564,0.7859615744193552,0.5225293955687819,0.6238080205784675,0.7368900803139067,0.9560938158261799,1.2363419294128701,1.4347431841871334,1.4779804721758354,1.2384479452511155,1.2869952362260257,1.595257130983024,1.3966175533429201,1.1877201185465278,1.557865151408163,1.7119325533947372,1.3167603829910017,1.3424151320120652,1.6291673129300686,1.5487637857011307,1.152931722786168,1.2570332112162104,1.0257618796401802,1.0694503762032805,1.0427481560166103,0.9344613682693683,0.8989100097804325,0.7122309307289205,0.7148345504783864,0.6384046789039209,0.6256212938956393,0.5530607120536348,0.598265119597897,0.7604214211046381,0.7516281958150255,0.6942341394775198,0.8029547823742924,1.1095123766392103,1.0966185361043874,1.194570239527734,1.36682798133099,1.5965603722485113,1.3185445520340922,1.3457559383913613,0.8820647792841417,0.9188775211572784,1.6920796502101698,1.5918529997961466,1.6922525031123183,1.711739434144305,0.9435268683003352,0.7663623918802742,0.5054450707976036,0.4655369445421076,0.5357276993363186,0.644283958479712,0.8132419845214394,1.4938421927602088,0.636251239059429,0.7012473284470297,0.8650908347805961,1.147438534676421,0.655862668606448,0.9120332363255447,1.436836810705013,1.8105508759541442,2.4162386916072442,2.7398945683732587],[1.1385528811790622,0.7086237865111106,0.8214206047766323,0.53724700093071,0.5487221387755892,0.44896074247000634,0.2955995048384493,0.4756105220406572,0.34188956161818773,0.2999366290123024,0.3621578900713958,0.45170730283696026,0.35256570180587016,0.31648066550729004,0.49874031827140675,0.41256457100408944,0.3886676393510503,0.42510100308846704,0.4739775420085158,0.4714430512771864,0.4843362516316665,0.6115645558548382,0.6171085462640097,0.5950412757110588,0.5284675456157776,0.48134649647054584,0.4055839864636946,0.3630757999088738,0.4010839324977877,0.407998817462374,0.4703640954245931,0.4972717896385471,0.5631645370064228,0.5195897928702701,0.46834309995399714,0.4306981352150199,0.4519268091972611,0.417795612458985,0.3809627745480649,0.40278596824014434,0.4618645860323034,0.492222511194026,0.4762438139655922,0.468530039637066,0.775628902894224,1.061295781457497,0.8730414002899021,0.5243265439057396,0.9356862757124905,1.3914432128722896,0.7633856825438706,1.1244580338260075,0.8128139532099353,0.8814002117291786,1.5232023788817917,0.7398694574439153,0.8209990415870745,0.7508407657693766,0.743171263637777,1.143718568084679,0.7222880661454701,0.601619215089449,0.5377371724197295,0.7617945461600332,0.5649800166737116,0.4791747952463984,0.7379874012044482,0.6162228408536163,0.6841136422648845,0.6712477756801309,0.8913479193680502,1.14892469089705,0.9177581096223372,0.9323259472105296,0.6049262096836268,1.0164092356005368,0.5217935216828754,0.5053146262851158,0.48354586661311333,0.5080684915046898,0.5495025589550849,0.6099713031899066,1.2133039708583906,0.5660372218792528,0.4601697230486797,0.4672180803860044,0.46445436225540543,0.5906890842309558,0.4330163383841533,0.5290092223600301,0.5137784953843769,0.7110019968929869,0.5736006526045198,0.538603937823494,0.5114335446431729,0.5754639364099279,0.5287928687740816,0.5305961437847905,0.557129795524656,0.845047978810839,0.6193080325251881,0.8035313809383486,0.5789060042574093,0.7036790570697219,0.6987641363784618,0.7317363447997328,1.0334464942464852,0.6523753944043741,0.669269550629062,0.9222779855382557,0.6131367468017103,0.43853438766293396,0.33568962281130876,0.3650689771041691,0.3119620840815454,0.33930300210032804,0.42102223630116514,0.3797203220877685,0.4775770049371729,0.4687601703758698,0.44979964845329695,0.3911542876328403,0.35990445314842007,0.3166175471904709,0.3133263460001482,0.3493942953027787,0.41816304743163357,0.44446993419541025,0.4704683517703951,0.5515167681659013,0.5156060412666745,0.6364216543321229,0.4926282480502118,0.6298555972810674,0.49245404885339916,0.4994346496943199,0.7048677843380768,0.42462815029154466,0.43704496130345066,0.33923828013797674,0.5372175282729025,0.5124926974150085,0.4314813758340608,0.32758462672683397,0.3310059002253113,0.35653532702064444,0.3155198779572395,0.3797083776986272,0.38318490076878575,0.4490132553812367,0.5950623349303488,0.6352152316148957,1.1087651591755807,1.7307966657261984,1.12352507075916,0.7850727400847793,0.5677097726057055,0.6519098190402216,0.5124603059857717,0.5901041382765295,0.4321068710363196,0.4178537373931129,0.34576643889497477,0.36109859553765467,0.39438380085186947,0.5615419244083792,0.47509675392499734,0.6667414356936643,0.7686180176050817,0.7371671418514254,0.5020230204824403,0.3791095268049554,0.41821779653107244,0.43067949456930643,0.41650262294633705,0.5325190347093508,0.521728545802438,0.7877378031300838,0.4888420963742448,0.5717677593003974,0.524262246044174,0.5369127755380891,0.5529739509556578,0.5284896355498326,0.49269692055372366,0.49326566338027833,0.5232292334827358,0.510245159330584,1.5094423376685269,1.8620395376248813,2.36350169576359,0.9540064551215882,0.7907311656490467,0.9979860674269985,0.6580885926297579,0.531066336522373,0.6092973823529327,0.5459317134754585,0.5898517068524867,0.6585912365264464,0.6000040443469072,0.7235899687266146,0.6068651134477875,0.5957941835449259,0.6725685592778714,0.6985071993097947,0.7149033706717728,0.6391437687760059,0.8682209161484308,0.6646001500329866,0.7157192496382653,0.7665375716120868,0.8713999659938902,0.8042725186197172,0.8606342549254695,0.8953570147663259,0.9795595594917959,0.9896681556176912,0.8107343822881309,0.7701554547399423,0.7899760083563534,2.0155519772549475,0.9760151145764617,1.444930828593557,0.8750933965958102,0.9229373075471506,1.0361140570172167,0.9434039111628676,0.8601670067834485,0.7136844476967085,0.9114984419830353,0.7074933732557301,0.8215702948866568,0.7157961989820792,0.9812781680201529,0.7988611635074646,0.9251497494430547,0.889062761815802,0.6688893869313391,0.6617406008132021,0.740728885535406,0.9287346580508026,1.204339895557962,1.4121575717160788,1.4511280464684417,1.2098735196154229,1.2682104319555247,1.5910290277311423,1.372447714432483,1.1580183392747612,1.5381437631992725,1.687648109817383,1.2903869895262854,1.3301727674002692,1.6201780832769,1.5321758239007868,1.1493568558796565,1.2555437064419235,1.0338799499227673,1.0610886090488143,1.0215590983394174,0.9165810362578173,0.8987824099558558,0.7414030618848036,0.7508041764697171,0.7091665180306341,0.7306156777482239,0.6775290609865937,0.7170350160994213,0.8896832919578239,0.9299674617202781,0.8691232881766586,0.994542545603093,1.3310807166359038,1.3063176882696712,1.4105690787861864,1.6108601110866214,1.8229438418856683,1.5014639481281227,1.552116626106243,1.048162287038178,1.0479444978301036,1.8550350812638843,1.7951974518613816,1.9390469266485786,1.9440617041962587,1.1278483962945494,0.9007154321523414,0.6169352323088718,0.5088249151522677,0.631051126782497,0.6913769340099469,0.8452112555815179,1.56074584936599,0.689388206340226,0.7533797571499314,0.9036433278167405,1.1369690879296677,0.7024261038091253,0.9447996147862706,1.4878756841574219,1.7210394644129965,2.632715439483457,3.0702172090800017],[1.1974788274409083,0.6666973676956538,0.5881344088964245,0.3676928252242381,0.40369302050648365,0.4066493160456851,0.2518369829985642,0.4203850928399021,0.33755368702393423,0.30723853295152115,0.3581321128057914,0.451724283735439,0.3482849910903577,0.3168852743318334,0.48045228531718104,0.40767719009807385,0.40070123534107627,0.45605876835448544,0.5068764056910239,0.5036381629729516,0.5248671232956855,0.6393886455931326,0.6549069682322135,0.6507623280021424,0.5714375075792842,0.5342350027132406,0.45248706078289785,0.39648732979011686,0.41090729512540225,0.40567065088697046,0.47644861225976215,0.47457185907321875,0.5483990369464151,0.5047417270763497,0.44653844059089376,0.4336921128366641,0.4417305013532166,0.4265849814835246,0.41163797798032525,0.40027667068943085,0.5192640630134704,0.5453444307103636,0.5323997763477378,0.5047114583384972,0.8019775584181579,1.0704805953368113,0.9131634519723634,0.5774471300530037,0.9917798870033502,1.4222004470892644,0.7613751520043212,1.07736875244697,0.8356544858863048,0.8768100709427448,1.5156267217625798,0.756057825085923,0.8399991219750996,0.7607090574890261,0.723002942928392,1.1956331274882197,0.7523439721667228,0.5993062546074177,0.5364586184903803,0.7864214961878757,0.6005465627055672,0.5057100904621897,0.7665135150731375,0.6263553256388344,0.7057217927294707,0.681025711830496,0.8839029259817158,1.135445406282573,0.9169759312130612,0.944215019530709,0.6160798743913206,1.0573466003610088,0.5318243783423705,0.5088857294606768,0.4806510178724371,0.48950181505149104,0.5311434470020392,0.5910058255477698,1.1625645529042787,0.525522646604977,0.4806316269144169,0.4707764861234014,0.4679251198702535,0.5547593783621824,0.43034489968977147,0.5097222477445796,0.5125467301937526,0.7077122846748273,0.5629092934607626,0.5177164613222323,0.4975334144312314,0.552643127240055,0.5196152285653074,0.5189346129020042,0.54218426215845,0.8175271219870144,0.5905939962606842,0.7410389181887189,0.52511818070634,0.6226416571438576,0.5962958647885671,0.6206556170427507,0.8851088112783159,0.5250012549350157,0.5431513509426787,0.8564653076747935,0.4865693027865873,0.3594228963288994,0.28641264495318425,0.3169420200867771,0.32618071439835566,0.3438482368322216,0.434358245356439,0.39993510426198214,0.5232774813171392,0.4917497420882557,0.47443963577165654,0.4112968444345124,0.3639880233573016,0.3031892356235855,0.2792635497300889,0.33533993448160543,0.41090969966892477,0.34741651255631056,0.34986908186415594,0.4544292504423296,0.38164003523740364,0.48714021300732746,0.39004748561442215,0.5251841244272909,0.42456372692149824,0.4885431481173114,0.7367650021852351,0.3626573923729254,0.3731467648691433,0.32245283607719205,0.5532386701273603,0.5361204350580581,0.46026872056263196,0.33045785346406875,0.3544396910955654,0.3931411516305695,0.32565962952208166,0.3787257713887145,0.35252810621934977,0.41822409167549157,0.5315515619597161,0.6163615091615409,1.0613327559481365,1.8484878118232375,1.2174976263611887,0.7661819372846278,0.5363278560720527,0.5897389970267226,0.4841225552221482,0.5255978559843696,0.38792722215214803,0.40368305872965365,0.35196185751686604,0.37665618510449606,0.3842284009083345,0.55245495853547,0.48002331887548916,0.671631216752209,0.7537064134024302,0.7478814415995856,0.4962867968110106,0.3381750499862232,0.36519718750168906,0.39089293705992834,0.37074881944306387,0.4594312674993864,0.4812497702293712,0.7115469374551998,0.44130180317987017,0.49036216036532515,0.46348461142661157,0.4582195242346118,0.45485580134328024,0.45025528480180865,0.44785841331855286,0.4640108917837539,0.5008593121945492,0.523651233575941,1.423179803085484,1.9301199086380219,2.4646612628256785,0.9502003000239012,0.8003043669734293,1.0129191586422028,0.5993644682082028,0.4593567486117217,0.600753079206485,0.4022623643114741,0.4272796342961278,0.5367502353578127,0.4918912543899662,0.6779483888800738,0.516595224431294,0.4507969371777518,0.607772439370774,0.6634976039079579,0.5797112710838955,0.5186711192137347,0.8601280514347024,0.635045215673033,0.6062656031106757,0.7505384829752408,0.9005771802668382,0.7750607559084368,0.776237294028328,0.7548985379986115,0.9133784557598587,0.8078995985536095,0.6313953731551127,0.6658622804238759,0.785641727134342,1.907620376294741,0.8906708220798458,1.3610842229530464,0.8144260098836842,0.875521029422562,1.0093061115518267,0.8980515956271307,0.7658738759480466,0.619109648381985,0.8474524246818438,0.601693049317255,0.7032207890472127,0.5667068263774716,0.884395355523393,0.6603168362099509,0.7654809403656089,0.7928324312231578,0.4763869854172603,0.5705712251402972,0.6830081316070208,0.9154188346648664,1.1762190517248652,1.3728313415224067,1.4371200144641691,1.1705856429433634,1.226883551317319,1.547137882112486,1.33716098925869,1.140676764523105,1.5061571662927296,1.6551459099006336,1.2816435574549236,1.3053494846369107,1.5857130184151162,1.5093246546765995,1.143002188384321,1.240517297997823,1.0148545495766665,1.0369070221336862,1.0039368953586076,0.885645304694266,0.868413194528539,0.6916549327916529,0.6737363577747294,0.6089308711405268,0.6143144479925777,0.5281909555501548,0.57044165930667,0.7652688170310717,0.7435547736843631,0.6919499827688084,0.7976931610103066,1.1273915647084698,1.1129492661509495,1.1921129558260106,1.4054004528671484,1.6063544338316085,1.2897117927189536,1.247414821242309,0.8004390556059338,0.7551895942458636,1.4736034052115699,1.478011922371714,1.6625822543323816,1.731694297749322,0.9441081558181295,0.713195160509022,0.460691958083635,0.4546374332962172,0.5365089972418908,0.6015817124869496,0.7809318130809171,1.5244885658238851,0.6065259310773126,0.7241055504127536,0.8278195784668205,1.1091837549270849,0.7281550408718221,0.9756920783591443,1.6083215874485532,2.0472932090336684,2.7191864725744623,3.251360396974431],[1.103946347465821,0.6446584057808088,0.5500137757019529,0.3923027079763988,0.4080764776362526,0.4045135822675042,0.2334739407284486,0.38518367319406704,0.30442363380465554,0.2672509819183519,0.30969691697448687,0.39640087949340147,0.3059156438457076,0.27763792695505496,0.4275345157443565,0.34761828282172946,0.3613253805015207,0.3980215399631439,0.4590289347832326,0.45256458035224423,0.4669077136529463,0.6021922301151347,0.611297172876375,0.6012532731136905,0.531681823071353,0.48447578700700983,0.3993591540200089,0.35736847619964457,0.37407723055817543,0.3535532522851916,0.4111518810692088,0.41055036143771023,0.48253144729164615,0.44076316590097586,0.38250729450999166,0.37441792206536284,0.3814153261126479,0.3797608761628617,0.3634865806688483,0.3668453961780993,0.47638611086177873,0.49142795609393264,0.47508008740169677,0.46450155051658243,0.7836717621816368,1.05817426060543,0.8987846442859585,0.5387918334835774,0.959974560631524,1.408490282889334,0.7344040116629642,1.0698365044123954,0.7916031344599362,0.8291983307289725,1.4966335320138289,0.7298698768033182,0.7995340327364846,0.7571834690364335,0.7033496122042081,1.1804505235556497,0.6990752002349194,0.5591407225462472,0.48466301017187086,0.7108810062148304,0.5434720495490094,0.4464463029500897,0.7174381740960023,0.5738389524528621,0.669175175905567,0.6374197163610851,0.8720288607758663,1.1069914397198715,0.8715638717296821,0.8905558330920468,0.5714738200334808,1.011977487119316,0.47243495839171634,0.44258533293520597,0.42144967238660624,0.4450499592953757,0.47985416630329614,0.5576622326808022,1.14044154193211,0.48187167878222015,0.4442544261891693,0.4175230000715405,0.419688819378417,0.5251086108274188,0.37475430087342554,0.4529836927100482,0.4495235103824969,0.6727248787926265,0.5069287895525861,0.4467922028527322,0.42965346212838984,0.49209126749598014,0.47824216959512833,0.4472376625682418,0.47124887252004455,0.73690182656786,0.5140973972112003,0.6813391444241058,0.45815017886283527,0.5714155950909473,0.5564005016888588,0.5873102587655732,0.8420564524088663,0.4995520521455576,0.5243882405034761,0.8410038852578793,0.46860194141885425,0.3304118977922184,0.2590677522400766,0.3024423958101211,0.29441147349115704,0.31729628329150383,0.41957806248448204,0.36564578626224065,0.46736910233878354,0.44763256013193686,0.4356203204916841,0.37412584162381407,0.3433637484200402,0.2812169649345649,0.27316413456194943,0.33897559159839824,0.40309794875674126,0.33461249005412236,0.3442114693538399,0.43388502890657527,0.38096516110402834,0.4766109275282247,0.3791098320619166,0.4950179652474524,0.403689924499536,0.47685566260939244,0.7377650407067531,0.35709204572105724,0.369332562466215,0.3120513643907813,0.5298815193456924,0.5103782822795065,0.42837082780630065,0.30521002232124617,0.32017086898935015,0.35643755596844456,0.29270877036310516,0.3448434688933055,0.31042101778057574,0.3824879719354134,0.49972882363457566,0.568086992487515,0.9729306949156001,1.7490056930947346,1.1486511144001754,0.6763900912207645,0.4693541645461972,0.5351594439899492,0.42456176674370266,0.47824568067346207,0.3496421890629578,0.3601144894761138,0.31885290671951827,0.33865829592853536,0.36074935489288934,0.5483578636445229,0.4776228627177892,0.673517727226546,0.7586973836385855,0.750771995860742,0.4981555160886425,0.32916940372298265,0.3437216195355688,0.3575914350364961,0.32922766657413893,0.4123303972893058,0.4368421566584026,0.6697103694738457,0.4003881312364354,0.4518241329804114,0.429651322939044,0.4201554895809895,0.4278399888150777,0.4317333799669767,0.42926963958001796,0.4367372837027902,0.4650899281330643,0.489406810027221,1.4573855309350667,1.9388033436399306,2.4625633618579985,0.9335945448054264,0.8021849189503991,1.0178233363593086,0.6006061236845417,0.46619889462160014,0.6023045590976863,0.4074482832903917,0.43480762013356705,0.5364545774883772,0.4765716333631171,0.6464709864934542,0.5036878356205833,0.4468611108563989,0.5833814259803753,0.6521598595686665,0.5871995613358882,0.5150516304847824,0.8341633979236781,0.6420989398091667,0.6046325073019538,0.7404138836702939,0.9041911087487763,0.7859538599048507,0.7746624541020594,0.7495215165552607,0.9000343433780781,0.787162262475876,0.6210509967920907,0.6490958765805571,0.7509892082531657,1.8559414431568977,0.871131076149153,1.3315963714527883,0.7792381244325497,0.8200646061683697,0.9479749841775401,0.8440114553389009,0.7190782705975576,0.5858190467556066,0.8123492699935838,0.5925968171089452,0.7094568450328703,0.5595039290165477,0.8791268484327966,0.6624918978222779,0.7604481662114472,0.8009176271348242,0.4780924096586658,0.5552323828651838,0.6497624393830507,0.8701103051526553,1.116583848652019,1.289023698803301,1.363119888374676,1.1124454909370092,1.1474858941433983,1.448452709972739,1.2675651472198557,1.0823983200900353,1.42233306565855,1.577833274656108,1.2331034001765253,1.2365055299440337,1.4998197864436442,1.4590165371827941,1.0996191972013,1.172987015007583,0.9628307555898883,0.9680529766157174,0.9439575581405225,0.8240497239389913,0.8182174132999616,0.6638517213895502,0.6396292518001027,0.5861759740520859,0.6027650575074713,0.5253602413328678,0.5637495373677723,0.7677922148982735,0.7447241554477718,0.6928397404306849,0.7918824981885678,1.1040025822972175,1.0979439041717014,1.1729838571921725,1.3772669470676917,1.5846581448814063,1.2380224546105478,1.1954470610892598,0.7811017122350793,0.7303511503241794,1.4169363521333607,1.4342351634466373,1.617801963305703,1.7142193262796832,0.947986887197598,0.7132912526943176,0.46815271853804763,0.460624010635748,0.5453368530199014,0.5770956030801109,0.7492078901149212,1.5005561126046183,0.594048246247088,0.7335078974636398,0.8069254652089874,1.0793351210522941,0.7587610875627147,0.9711317475633096,1.5877317155170088,2.126468525022679,2.5461318449010255,3.1134333891291197],[0.966449907405717,0.5815612013831521,0.4514878547594962,0.4173279777640588,0.4438677681623728,0.389810282750131,0.25736957268354543,0.37462389448030103,0.34969750054486953,0.3017728198427061,0.3300831799914355,0.4100237349089526,0.3275201470820028,0.3382829856388798,0.45135781923516455,0.3695600974072803,0.4137991930712651,0.4702897669769802,0.5439689940486945,0.5357628333331036,0.5568928200883692,0.672815419401738,0.6947949405186503,0.6955181881970949,0.6086201047448788,0.5719873536124248,0.4933799180550679,0.4259139996956434,0.4277098248108122,0.3980795699450829,0.4335869168498341,0.41102434138277233,0.4672610347132336,0.44905367237582616,0.3915185695190014,0.4116707050139401,0.3950545516369167,0.43553830924110337,0.44479483912301715,0.43294308615311294,0.5754241299142843,0.5844176161313208,0.5697398513014914,0.54330707762879,0.8435582101729268,1.093442477731724,0.9849551711092481,0.6308552523890582,1.0093748359461867,1.4032516839461036,0.74950028772921,1.0625874504607247,0.8730213809740623,0.8415857696668593,1.4749468716537677,0.7688790537076712,0.8210176354653814,0.8400763298882448,0.7189804011758917,1.28602013826828,0.7499638061757915,0.5730283865983261,0.5169762445902968,0.7857499213257294,0.6335902974436987,0.5054883406445941,0.7925443247441919,0.6258548971086852,0.7274045739808213,0.6609179983956108,0.8889130307171043,1.0999121638106715,0.8579411596875995,0.9318061450599465,0.6049511320404211,1.0508439432987884,0.5255261876632603,0.47300815181336286,0.4458680122018954,0.4755988168253764,0.5007280254808538,0.5856503898256279,1.1366002187650193,0.47259413157954117,0.5232583257952406,0.447857994520638,0.452742268022883,0.5336305567985236,0.4166144922211058,0.47874831223156256,0.49170023576899347,0.6866567429453169,0.5280397415952467,0.4619123938649673,0.45276616185354024,0.4993904534580339,0.48812690166817874,0.4386574496412317,0.45741283805660765,0.7105658101794446,0.4739727920740406,0.6255507698728014,0.42513953879018856,0.5029623331099368,0.4900523040752691,0.5385598330378776,0.7415027559120373,0.44350280111716767,0.4568927844087441,0.7990395170670175,0.41256780234870655,0.30589118509709773,0.2729113244431704,0.32418350833517745,0.3283448575949775,0.3583139599939514,0.44945686539780744,0.4258569977902839,0.5570749046132394,0.5163198465272033,0.510181227643543,0.4441596750903261,0.3938684236189103,0.3091481433998135,0.302287762412914,0.35549983076307873,0.34526465556234126,0.31775616651847605,0.30573051856459843,0.40176708521830745,0.395937158607501,0.45578146706206085,0.3860531852397375,0.48289009807739985,0.42283335908656133,0.4896570566271439,0.7023946843667564,0.394300226713969,0.3690700801490504,0.35687867755421177,0.5980039913628596,0.592786529727806,0.4866998210769993,0.3674288638973933,0.39136986782203065,0.42781387058108084,0.34690258825556153,0.3860880830199917,0.317163847091103,0.38546424483027775,0.4761093415220727,0.5748271697887234,0.9073020800701286,1.7910182373270978,1.2263821510651958,0.6429454653662817,0.4330135456437464,0.4872729814578661,0.4048415179717473,0.4333367851300535,0.36753963434562437,0.4081648947517808,0.36042700322012444,0.3955325870807454,0.40032827964554907,0.5590363088100475,0.5239894632850497,0.7226284703122108,0.7859508208575631,0.7787832480306129,0.5256985410899436,0.37777634192340376,0.3698308547980654,0.35871440734932897,0.32973916189858155,0.39123411054136303,0.42619992927791045,0.6354080489358387,0.39804004705988116,0.4329104461828287,0.4109357804396962,0.3925182813237655,0.40457365677449436,0.43076195632386804,0.4506480026198854,0.4653106060930503,0.4821282423890258,0.5771538151937081,1.3082640796115208,2.0272350649239304,2.5196621642743366,0.9834573079973167,0.8374325532232925,1.1090234808434916,0.6648598872226239,0.47556290977854526,0.5750625489518576,0.4679448044181251,0.4852130319639109,0.5747619146389993,0.4318944169206366,0.5686555654582172,0.46923374150442454,0.42762830749998587,0.5026657820982209,0.5904695459703646,0.5699913191284931,0.48692684310788564,0.7545854387141615,0.6271462979430686,0.5930989485528124,0.7096281902319515,0.8742127858533035,0.785705012284466,0.7868754336840137,0.7442383814131532,0.89591504776286,0.7754056167897806,0.6114778413550398,0.6295147008071825,0.6883396601298079,1.8043702681370737,0.8738907255456506,1.2704443053209216,0.7021552708129152,0.7068400349720955,0.8211998121912231,0.7319997348565478,0.6544166776413469,0.5371603249792507,0.7228288732485106,0.6118236652814103,0.765180035149549,0.5651443946924001,0.8738594581540521,0.7422595071603839,0.8108130995284015,0.8911870813842856,0.5308626720664806,0.5307077679690106,0.5880660918824634,0.7746931545038046,0.9952003673606663,1.131947194589222,1.2247602707225016,0.9754086336194315,1.0007673080027009,1.2921356960270456,1.1136450596634886,0.9493236068025385,1.2713104949526761,1.4315579733622505,1.11314889049099,1.1074961440718893,1.3603585040877924,1.3492869210828802,1.0085744471080185,1.064008052182534,0.8679856143729892,0.8467970182009149,0.8147386133024677,0.6916968237983564,0.7230115302190302,0.5958853875768612,0.5561818593564481,0.53805571205541,0.5859477190597294,0.522441909962491,0.55895930733228,0.8003050703278729,0.7917651298269514,0.754822820124243,0.8463715336307054,1.1541803174125456,1.1453305834943452,1.2107464390761087,1.4462509918614792,1.6173891656095005,1.2112637050170179,1.130132425854808,0.7607386504031953,0.6622247232414527,1.2595871040785247,1.346426285946177,1.5922920048554825,1.7513893571432235,1.0160953216635875,0.7356796513507311,0.49562102289903814,0.4457674887971702,0.5273073797421971,0.5167739824746169,0.6715531804906962,1.4348412368508487,0.5596564790221834,0.7245476353604059,0.7706133526934,0.9663086595690841,0.7943853117455225,0.9952048211342579,1.6999428820594729,2.2759210529661216,2.6462776299266504,3.39946443912456],[0.9210234533096279,0.5987416818150674,0.41576315055365437,0.42192672385102076,0.4089402251865261,0.3544644326301221,0.23112358561725035,0.32313460660267357,0.34797754939855796,0.25676417839249716,0.29461704041868436,0.38141758158169364,0.28737591383456373,0.26229791468418223,0.3553853543317008,0.30277314226464214,0.32835140706673904,0.36348527040356743,0.4661633829583903,0.4489336839898821,0.4770022208855482,0.6144422633016038,0.67199534737304,0.6542782816369294,0.5758798108656772,0.5156081034477498,0.44828174557873696,0.35516627728748423,0.33770070106093447,0.3105204812672585,0.34172885985029633,0.3471249637010471,0.41044778745966787,0.38958196434091286,0.3060257050723086,0.32243434747268057,0.3126916234820251,0.367801281704101,0.3796371130349181,0.37215456824680626,0.5661592968854454,0.5350847641509044,0.5199011172559799,0.5163677328902165,0.8696288743982079,1.1383159960373963,1.0532222751476796,0.6166085019912652,1.0039832677412843,1.400141678791824,0.7564551691615764,1.0673169128191389,0.8721283473643995,0.7710722447073621,1.3727801534857866,0.7597961333807147,0.7705356064866523,0.8493442176567829,0.6932911053833734,1.3486044466906024,0.7723609838236756,0.5547525350260727,0.4725089407857905,0.7391392748718093,0.587106258187053,0.45548085703073987,0.703312232308503,0.5349134908033053,0.6649276603304816,0.6013706410674354,0.8018856488813737,1.0282597596140397,0.7827447211716116,0.8866594730732442,0.5386770251805296,1.0194077434428745,0.455913555913248,0.40058390687128725,0.3806089675161044,0.4164703150946342,0.4146790055770572,0.5279232622360323,1.0908947250027898,0.37573994151119317,0.4841140457010581,0.3628634109714825,0.3623350237482125,0.46993874247467965,0.3469322346266834,0.40495458412264757,0.4167362456231623,0.6569184964743017,0.469524739314524,0.39757045940481167,0.38621210842807346,0.45971254115074356,0.4802954248054329,0.4092710540733554,0.4236247194094155,0.653877584035925,0.434552042974573,0.5713150573987533,0.38886896971504326,0.44739606810437144,0.4410127436837464,0.4803015690571771,0.6611861526502177,0.4222168233359007,0.4263715993762951,0.7664966993979082,0.38276056151488635,0.2883425305339339,0.23637366902102835,0.297139241006565,0.2555964723390622,0.3026291787178466,0.3696602635266315,0.3885037241834991,0.530236916384573,0.44504034818536664,0.439541050327399,0.3687766073340129,0.3510743643842318,0.25625240458733395,0.25618189339144065,0.3174301669988665,0.3110320619467813,0.2924301814111099,0.2947554942034923,0.37114218880919864,0.4122534858535419,0.43756383432167584,0.3782511045788806,0.4363771686632799,0.40651681502158743,0.48083459992363914,0.699166178306031,0.4000202955050615,0.34677014372426634,0.35282162677886203,0.6016498728492764,0.6016254116789621,0.4638544223059848,0.33990384414965336,0.3545818304097385,0.3750806668030455,0.308462639801036,0.32857247915301296,0.2652913441981686,0.35944586094961084,0.44374283738476666,0.5475639006371648,0.8171440574420442,1.695293588277836,1.1912311811060665,0.5799661764416961,0.39430355920699495,0.4268546912603777,0.3520106914692089,0.37565361895661004,0.3145931573351735,0.3496912447249915,0.32960626901179985,0.3720811312502517,0.3986544032149573,0.5446551862792517,0.5364164153830012,0.7765642277855693,0.8199375336942727,0.7973272911737761,0.5413513598429825,0.38188869210012527,0.3399636952434762,0.31714830757231816,0.2803152029524128,0.33370053617984713,0.36984508987867,0.5528033716898328,0.3206341277618553,0.37306869132262965,0.3638682898617984,0.337604956165549,0.3792343847350071,0.41613608345954833,0.4205544316418689,0.4240704302878142,0.4448248393080231,0.5883486230086543,1.2366484976623093,2.0782396037225648,2.5169038758531865,0.9606476094162205,0.8869113539050816,1.1762897831684596,0.6907790570624476,0.5319208420429299,0.5726226185442712,0.5173101870465187,0.5076394675297525,0.6094412994570751,0.42261635725887264,0.5368367856643442,0.46935716350048823,0.42128508731913544,0.47916572295654203,0.6069399578461053,0.5415721472033134,0.47845281069092466,0.7655821945650241,0.6973205907944511,0.6381194135311631,0.7772425687396902,0.9735929402549803,0.8701973885436339,0.8861182382036153,0.8093144268236514,0.9124016650282876,0.7522517877221608,0.5818170644839522,0.6219871936774471,0.6674137213365503,1.6753322965123183,0.9116981023402481,1.2247426692483137,0.6905395032112945,0.6600457584668309,0.749731698648032,0.6711017783290535,0.6448965491516747,0.5066428934707116,0.6752983115064766,0.6284071604130463,0.7764907642467656,0.5707351700749281,0.8761124035205695,0.8273752715614814,0.8687916567270679,0.9777358392266904,0.557616789687405,0.5242971670253447,0.5450214072406273,0.7006469380884005,0.9148843568209514,1.0273567194319373,1.1543138545149285,0.9024013473449357,0.9217863165789492,1.1909078154509478,1.0447886855069364,0.9112560713162303,1.2185431844846992,1.3936227101644474,1.1155992348774093,1.0861628128090945,1.3432959971440945,1.3841306098412889,1.0294096102453063,1.0581199304512658,0.8536808819666053,0.8068403526050181,0.7792486748883445,0.6456068536401756,0.6861330300116794,0.5733642990713043,0.5186233342306664,0.5199429125765818,0.5708925911515782,0.5119753784342169,0.5681582116644713,0.8148028120618616,0.7941243124638979,0.7977414303817267,0.8896291527072601,1.1862279896046943,1.1640953171146018,1.1862383339168536,1.4480328222738263,1.568614974618338,1.1506377652118362,1.0136730395573932,0.7018209826953365,0.5832131458457416,1.0550260595055125,1.2014549989914836,1.5141274623242749,1.7238918042106957,1.0135751092207892,0.6928076255385516,0.5050798824946936,0.43978860004127596,0.5973715337392269,0.5101232049834269,0.660935438873325,1.3861585802274925,0.5742850797996851,0.773466658970779,0.7568359536585957,0.9585933709747628,0.8286306150596929,0.9520285604782998,1.5234188381081877,2.189374192715205,2.465502136111268,3.211395856358268],[0.8790631691145927,0.595328658490353,0.5292167873255292,0.5399297171368415,0.45268323223660545,0.3494606686910009,0.28768609906199405,0.32673003937997036,0.386381656454649,0.29841578036025534,0.31782552016742827,0.3878819627009938,0.3019650668875213,0.26654785282749394,0.33302945224009994,0.2842119096288254,0.3321590164581542,0.35897435132556865,0.4526075510147793,0.4440118353235585,0.4609078486636114,0.6264198340107139,0.6672400963608702,0.6337360304995464,0.5808554229614799,0.5135307791540443,0.4704537920676034,0.377063042422306,0.3578843877667712,0.3247718541763894,0.3295050030078755,0.3362078174585511,0.3848487464980156,0.37217921752565725,0.31000467497229856,0.33598523960309784,0.33964145014303115,0.4102971831988326,0.42919252476138625,0.43064710231038394,0.6031164306248383,0.5605310465390406,0.5540765290436964,0.5478849230954205,0.8816592473338383,1.1371448729664835,1.058148405277542,0.6586214826284266,1.0416658275775246,1.4069524713850445,0.784749701867417,1.0736092284932786,0.9441587886642251,0.8123490188905741,1.387839449918588,0.7938319337874892,0.7845490846311017,0.8890025776381173,0.6956913534999233,1.3620491230215723,0.7670478020024749,0.5456934014403008,0.4662349799513411,0.7143974191764754,0.5841897161711841,0.45586278514973355,0.6833238516533708,0.5081978177483892,0.6357726889640295,0.5542962973971689,0.7687054831150402,1.0051695374369063,0.7221721150091801,0.830423422288232,0.4979902821697528,0.9968830512387236,0.4397613111181389,0.3844440348853112,0.38770704788175964,0.43820326086110206,0.4253957185773786,0.574512496333643,1.0805147792661878,0.4153876649899502,0.5486334937470417,0.40433801036052863,0.40723288908294303,0.4958067741212612,0.3696073494700445,0.3976232442696301,0.3968479307317782,0.6442491169240606,0.4555315312183752,0.36845843271583767,0.3565006592632833,0.44298408424355185,0.4781365814949076,0.39202986304342335,0.3994775905626893,0.5872769162036275,0.41596278306386664,0.5408821372059048,0.3911922878498596,0.43041071202781583,0.41050753928887496,0.4544535424525804,0.5783097328538651,0.43490049588876123,0.39903666032457735,0.7543137204461441,0.34358414530792064,0.31024810756621746,0.29045030313697356,0.32609956035556503,0.2997368679880638,0.32484231235797334,0.38925378903106206,0.3915679626867823,0.5269908024939126,0.4444686251517426,0.4344705502241771,0.3734042661453328,0.3520619393682967,0.27234365473936306,0.30054745973488617,0.35187431846844247,0.34939806718369903,0.31211129448194347,0.3237691246454196,0.3840331291711886,0.40772762117694566,0.4153338145206068,0.4056177783588408,0.44008464280558846,0.4363222692323173,0.5086435016859175,0.7189109018570978,0.4185544895452119,0.37043006006534596,0.3914631711229095,0.6087776685590003,0.6063100494458404,0.4822720434037633,0.37284339015178247,0.39084585918497666,0.4095943150686508,0.34749814697302506,0.3574319445251071,0.3061605997368446,0.38581973883724346,0.42738629086361535,0.545728945465538,0.7394935064757456,1.5901689566833952,1.1862441194043052,0.5537582907246722,0.3820737228837069,0.4073798723489663,0.35932269787224835,0.3902624930703122,0.3397911298959703,0.387310558993726,0.3784377339459859,0.42369947518992573,0.4465608852754887,0.5725656023675315,0.565739510552354,0.7701352833898054,0.8085544365576164,0.8000887961389344,0.5680024118239276,0.42150595945786223,0.38936988746836837,0.3576665724434134,0.3350499702832319,0.3651784703268419,0.40277363539707195,0.5386922799462114,0.3709931023093677,0.39776587502950406,0.39554956295989296,0.35139018480632905,0.3919741803101078,0.44223746133741715,0.4652250097616433,0.46809515686182945,0.4928127336946103,0.6449327095722496,1.197850503962562,2.11153856496616,2.5599196593962326,1.0186317885916156,0.9251917464676043,1.2080322047316288,0.7278177888192735,0.5270339650994273,0.574903218851043,0.5252635461351968,0.5069082536929517,0.6230445726379005,0.4214023674158833,0.5095366868982233,0.4578091209843768,0.4128960245681543,0.45193011121756604,0.5711777164871517,0.569442840066182,0.4737648091818388,0.6998747916217898,0.6712014074645603,0.6208337998749582,0.7219235869472292,0.8906517457509353,0.8706300912442055,0.8650012646683138,0.8252926848309311,0.8884993533919862,0.7155344710183721,0.5674419965474694,0.5905421535688629,0.6357699349668128,1.6884232056650672,0.9480567152067884,1.1802817616009231,0.6881254510248268,0.6518196927636337,0.7205737651312611,0.6399294718694705,0.6343542735235578,0.5044067015297438,0.6196551042718057,0.6325422614831372,0.7542587732530759,0.5427731004966572,0.8857484149132208,0.8089546258225834,0.8436833970091475,1.017721118651433,0.5449874855696895,0.5501074805270826,0.531654192831399,0.6720523336310723,0.8664210040558734,0.950055659322061,1.0988445015145811,0.8334693672039248,0.8260106501672209,1.0894151979347768,0.9420110878938722,0.8189008379715274,1.076496327435926,1.232909573025932,0.9902560085385397,0.9595900806183213,1.1784916060683115,1.2339217332234778,0.9310578521673355,0.9418902970477048,0.7692291724509621,0.727088333439822,0.7086494418668832,0.6076257994572737,0.6262279227425296,0.5509266544394391,0.5001875925206533,0.5034926429288599,0.552011522168349,0.5089935619712496,0.5523627398060684,0.786122169566043,0.7619167674022631,0.7620678702934489,0.8641625551530832,1.1267543666784936,1.1108945215853188,1.1115003536462784,1.3883162992476605,1.5057935010444317,1.0376363368940689,0.9075695977301619,0.6627976032244844,0.5750632415217092,0.9520644179788436,1.0135320327818966,1.3205098981274286,1.567925859345886,0.9603140836538036,0.6471437412440748,0.4833873047265413,0.4507314313941236,0.6268278321191837,0.4678545130846635,0.5981323358394067,1.311125613675855,0.5537436394723094,0.7517492108588633,0.7234775541562664,0.901158598231108,0.8569051803065673,0.9719499027442361,1.6308695028218798,2.4456113926272676,2.7177285494054275,3.732245085565352],[0.853143833809876,0.6450941292823283,0.6210247241586195,0.6326953499555698,0.532011248884077,0.40809247800837867,0.37695071168966265,0.3722132462052966,0.4378440348382784,0.39326958097180376,0.396983917437532,0.4483446815376191,0.39932749282263497,0.3879808374133409,0.43603551922925804,0.3949647589421714,0.4808306445216387,0.5154819509039226,0.6035655070158511,0.6091647721797404,0.6265631220510208,0.7644920489889722,0.8030918117136637,0.7980104386356043,0.7351079463818168,0.6687315041400401,0.6543907559048295,0.537547383196982,0.49939060694089177,0.4564441407404413,0.4626810984701499,0.44650362846799285,0.45794226747889,0.48772193875132974,0.4437428741231976,0.484154184822838,0.4622025193875259,0.5748871937224604,0.6050759437672808,0.6250161519295061,0.7930547858944282,0.737426745613889,0.7445555664963991,0.7462962669942884,1.0624321749958936,1.2931288081868015,1.272215081620556,0.8533916658149815,1.1582415399276513,1.4872818593616606,0.9534079196332215,1.17022255245783,1.1726698475837,0.8871898132017029,1.363872022821601,0.9594328350746425,0.8894024347650156,1.0604135482398716,0.8518770645334718,1.5550535521801292,0.9210418938678768,0.6745155606380826,0.5876923272002171,0.8393948661572077,0.7509319022011751,0.6113097502601986,0.7736620719273702,0.6256485482736407,0.7485506006754451,0.6999013688152949,0.8236997599794081,1.0898715347372319,0.8239749181331303,0.9559982171755185,0.6299048496143543,1.069996937786715,0.5734568767552445,0.5390977336141106,0.5285277060276152,0.5861200866181855,0.5431951344125583,0.7008539900574613,1.0635114957469225,0.5633772003793871,0.7223468267877139,0.5537265324733964,0.5510949570734391,0.6062544262680533,0.5247808377509999,0.549613292342776,0.555405052288198,0.7767653114641112,0.6112790175431515,0.48827414683877374,0.4682346172498765,0.5542800786645163,0.5974106083814963,0.4654471915115323,0.45762036514768906,0.5860856474895811,0.4679180132309168,0.5405289506315413,0.4796796619805857,0.4747652775215367,0.48471462030549306,0.510382961046131,0.5844272433444713,0.5463838509724194,0.5038346481274626,0.791255301852715,0.4427140431010011,0.42732461053316395,0.4138658743362346,0.4694874522234882,0.4423598477419969,0.4734992957889537,0.5193929014639034,0.5581600350222343,0.6695003224782171,0.5503867951369817,0.5810894293812173,0.4892330066126047,0.5021400821679379,0.4255532287919386,0.4414082577037322,0.4948337646269472,0.4308467174210177,0.46765597761123673,0.47238376989795555,0.5128709916528735,0.5735895815245362,0.5588686872373619,0.5836620044561064,0.5674074293641753,0.597282620630001,0.6614866870517218,0.7950850782568522,0.5969726838302065,0.5453665353467668,0.596104121397294,0.7878644234671622,0.792024316905255,0.643592217388337,0.5597756811129625,0.5783126243949475,0.5610238103348664,0.5165035861112007,0.4997041724405958,0.4227628359385935,0.45467501124982956,0.48131135089999616,0.5449749954030635,0.7139128420535432,1.544008479114591,1.1617838903415851,0.5515637706799541,0.434322422795641,0.459410234067029,0.4359891565658822,0.45231696130564697,0.4614535816128946,0.5418521138120607,0.5680634279996578,0.6230600763575117,0.6339868959851657,0.7157968919801837,0.7495283933307144,0.9582695224972334,0.9500574148737035,0.9188334788663824,0.7141751229486252,0.6004463345478206,0.5695362581475398,0.5287833533239548,0.4960341455205707,0.4767056460408342,0.5123170320011539,0.6010950555323312,0.5253425937727234,0.542339772746177,0.555911715994076,0.48292047194957344,0.5703763436869526,0.6443556876510819,0.6283982381316643,0.643739431383206,0.6465565707257643,0.8799160307630651,1.276067979866721,2.2855368552630138,2.6273312256290806,1.1533970564054523,1.111606289021692,1.3939182406141144,0.8877664422772115,0.720359073151415,0.7137379723030579,0.7088239114310992,0.6546885319677144,0.746857185971136,0.5459999189815892,0.5815970339932902,0.5647665797873849,0.5235256601220962,0.5286162853468607,0.6439345050029354,0.6248211930471707,0.5576098171106798,0.7446422559289875,0.7727983044974644,0.7312987120290746,0.8223913951437319,0.9932625891436697,0.9842374691041268,1.0269494353772677,0.9841595805896883,0.9583742058465492,0.7861127096259394,0.6321210540072889,0.6705546161452777,0.7288265722487229,1.598891381670958,1.0420939170971966,1.1766912260533966,0.7543945699003558,0.7047475477610177,0.7491329997536098,0.6910868046024448,0.7296650061832342,0.6173130923123974,0.7033996453294409,0.7782986631200759,0.8742682150015079,0.6870528867046628,1.0019360171707832,1.0195190889433245,0.9943121033906493,1.16437774463202,0.6804229644421393,0.6821743056585272,0.6371111469482127,0.7133245485481844,0.8751174273863565,0.9087101438505724,1.078755035851484,0.8297411749377993,0.807651112937538,1.0285264992924141,0.9246539170086111,0.8182578747153422,1.059443569166554,1.2250282015844904,1.0110871594813307,0.9638374464200726,1.1837568544731036,1.2773837029886865,0.9697599599798731,0.9650966698394565,0.797919749776586,0.7290086994101452,0.7173181323188965,0.6151039814424814,0.6642360022461056,0.6036146951882803,0.5700284461828024,0.5891436936212464,0.6336422226701609,0.6051986811796517,0.6778847814548665,0.8920495202028375,0.841935725979019,0.8964240125531548,0.9981482943552253,1.222272423977263,1.1783810978820655,1.1348255894589034,1.4572373283851794,1.4992377421154353,1.0668472779896399,0.9095031435545022,0.7201247183367464,0.6897392309999779,0.918088354038918,0.9308379354216348,1.2646648086721295,1.5547886454790762,1.0148220332774733,0.6962732783171249,0.6166726049615493,0.5630832145133159,0.7610668718288555,0.5544662729348835,0.6602207266207067,1.2769013271153018,0.6511722882266948,0.8519905796749592,0.7748107495379075,0.9593879729995746,0.9384261566353975,1.0223007384534977,1.5486339088198546,2.3431558909340247,2.5799595400190825,3.547442415024329],[0.8281047894998538,0.5970853634627215,0.6627884467054742,0.6569212454137227,0.5246097982221705,0.41577255087764803,0.38778997191760756,0.43546814674393075,0.49472627321149487,0.4830274826465692,0.5071941896448048,0.5371513541368287,0.4996677995061778,0.5158849073280523,0.5767962428391104,0.5254199959166646,0.5825159405501056,0.5982164541633014,0.6567294791237066,0.6737691826758195,0.6742170604422251,0.8081353456836607,0.8258079312031485,0.8240108130168491,0.7814039813352129,0.728325733185376,0.7304127396190446,0.5998169367286981,0.5801881946092187,0.5618718861276989,0.5689162686377163,0.5643403028903653,0.5770122675243375,0.5715777862487763,0.5564035248111654,0.5777161906146487,0.5676816702854292,0.654775923975321,0.6864253345832932,0.7003593531702706,0.8516374773623931,0.8018420241171266,0.8143263203202425,0.7883201423177585,1.0547378194281152,1.2588447733404546,1.2392986761749576,0.9017759889978141,1.2164635441581717,1.4836857969877308,0.9730251533062211,1.1902449992288138,1.2885778281093634,0.9511180905283309,1.4117085682273018,1.0005953124223965,0.9281219275783729,1.1050632719795748,0.8934200346811194,1.5716131696908602,0.9570597270233449,0.730619514035305,0.6658209172498564,0.8907617455242225,0.8072511301857214,0.6752287715240582,0.8166829921411835,0.6768601701802461,0.7745152993290013,0.7484767994422398,0.8307111093600172,1.104713819873426,0.8511707254030162,0.9827410270193646,0.6830928922056437,1.1178373693664632,0.6459720903779939,0.6181838333346551,0.6075388736078785,0.6499570404284974,0.63003165005741,0.7871143255548612,1.090340266540674,0.6381363820098879,0.8061542818142791,0.6499201865077028,0.6399640163039552,0.6768127055325204,0.6038725200954534,0.620531713542357,0.6407111439251439,0.858566437412206,0.7197147362577483,0.6045437003058363,0.5907829844106851,0.6743942114583978,0.7173080283117256,0.5801707294887933,0.5780142344261696,0.7064406662902171,0.5790444280568231,0.6103980810036614,0.5684083123274776,0.5461607500246533,0.533174435094074,0.5297077030347493,0.5552588701445567,0.5463166744664132,0.450766328654054,0.7330447727158322,0.4140792410999422,0.44216377510002497,0.44641702060767346,0.45482314070542307,0.476479622498164,0.5044167275660904,0.5671881356419861,0.6034782210176957,0.716535341563599,0.6243718902250824,0.6386791352785645,0.5814025217193393,0.541902280307991,0.4080744205230021,0.3781745008529068,0.42006426873185915,0.4098653114062928,0.44350218608174563,0.47067494538549065,0.5239745388790229,0.4953448368613991,0.4894185821113919,0.5621157175131648,0.5929881449179056,0.5873116641176741,0.6442078087159803,0.7760551807080912,0.5599240997871883,0.5282173684999898,0.6065465893416898,0.8118886383473464,0.8497670998328766,0.6892654719157034,0.599542112853503,0.630315547413752,0.6159086735954443,0.5550064630201657,0.5443540619637892,0.48014833837687027,0.5140080291584452,0.53312390356991,0.6479512615395043,0.7488070373244484,1.559257551711601,1.291386471022008,0.6646843574721968,0.5465721120012624,0.5564743390132045,0.5276240834137546,0.4954434082235364,0.49572218051047867,0.578031557160566,0.5839830923338641,0.6634532274084122,0.6276167333215904,0.732913496516774,0.7430781333807447,0.908068120019954,0.8698380520942881,0.8681505666080602,0.6948793852699737,0.5888947963477099,0.5757165180657037,0.5705439182662593,0.5545185231666433,0.5500209815474003,0.592114153200281,0.6925872459074237,0.6050358530604892,0.6159744879380538,0.5962822591566265,0.5191568543040018,0.5686280478316312,0.6361056406838834,0.643145889045793,0.6601141303128243,0.6689361368225525,0.9230365640134219,1.1715252688569775,2.278281170220388,2.6820873547889756,1.1969611220142147,1.1022585898728987,1.3637003196990893,0.8753108405991173,0.662944088561523,0.6597585453077371,0.6053362183659948,0.55740222115638,0.683422614195077,0.49103878508599585,0.5429203039583276,0.5133914518444361,0.4561743109704237,0.4955393194847444,0.6158772696372516,0.6142889507404714,0.5274216434585053,0.7063314831717131,0.7292269342812798,0.6932120948471387,0.7614320642793815,0.9084499413230026,0.9434910567952075,0.9595517507731502,0.9474636638225572,0.9160069328482059,0.7388794891156821,0.58820016184279,0.6270099953649575,0.6717008231737717,1.6509811533880705,1.0224997924537984,1.1423965569883037,0.714435389823836,0.6764031380196407,0.7140145328279338,0.6576688807431695,0.6537420373744288,0.5555513559189006,0.6250348030226962,0.7028616225512238,0.7697020473820111,0.5913276270245577,0.9567436820466103,0.8964531967583257,0.8752987217479746,1.0803109215433382,0.5794428303706545,0.6365391569610291,0.6060267216364402,0.6972767578547417,0.8530765938185848,0.88427307039243,1.053324053545347,0.7845879044152303,0.7666228989666507,1.0089578000147041,0.8624596096485684,0.7752935682793988,0.9996891526620858,1.1481144118820454,0.9381332483296113,0.9040421288145389,1.0991847416293459,1.1803932493428615,0.9067976309185125,0.9033422673546263,0.7579071788387345,0.6963525865396293,0.6859620234620717,0.6123604353903861,0.6124794027580863,0.5688422846734672,0.5349446414111314,0.5399034618055983,0.5858336961596775,0.5437929920979293,0.6008960181745356,0.8039175489492754,0.7570156573107042,0.7719846287442458,0.8789392254067248,1.0970352919737283,1.05385831788087,1.026741803014626,1.3737608985432646,1.4540800862766783,0.9824164559533308,0.8462633664917864,0.6805998136193715,0.6747767145919947,0.9222666848182735,0.8207906883945982,1.0840716089093638,1.3535023874953949,0.9033526836605926,0.6110753090073323,0.5181682225212316,0.5297496901386478,0.7278647871349677,0.512424971754934,0.6096066339047937,1.2246619084608454,0.6198347554582682,0.8073811009665998,0.7616165307964607,0.9150699846571425,0.9142645592130615,1.0181843654082545,1.7052682989824803,2.560735631181098,2.900640815245442,4.121440829703768],[0.9433261358551104,0.7518889899019144,0.7896590805529027,0.7968726896216834,0.6604667154141804,0.5368841111287086,0.49802271752254496,0.5290150527227127,0.5480431835476346,0.5885121066722712,0.6085590541785433,0.6245703493443361,0.6898105313910903,0.7067042144091807,0.8063480087429737,0.794021878941849,0.8918222842021832,0.9827579633327801,1.1010203160306873,1.0902163997452998,1.1387866587496216,1.219953081980801,1.2331341145911205,1.2501038832568239,1.2003997252707208,1.1514782827604382,1.121176339943182,0.9754954632252344,0.9467832609211517,0.8752443135934745,0.8898095031777883,0.8288428933089917,0.8255906259892574,0.8758082298877913,0.8857069863055762,0.9285472246385998,0.9009781913570895,1.0157943650740529,1.0508012144404784,1.086823032094759,1.1984547581331186,1.1952009101742527,1.2294216609633195,1.1941836485924557,1.3801430443948846,1.5277790587111124,1.5394143821722654,1.28835259444412,1.5103015337513772,1.7012301161563894,1.338652053478958,1.4708257660807365,1.7262364019577272,1.2756170802038418,1.5746440216215833,1.3392965368259815,1.2509050964616966,1.4885934038307944,1.2948468820501344,1.8843467888695913,1.3496908252592206,1.1436305586203654,1.0984529671169503,1.2906337928118086,1.2379135375553996,1.1272645615099095,1.2301709752431473,1.0794646703536055,1.178653562980261,1.1188276592551363,1.1811563408996355,1.4124711415417943,1.2012782428134174,1.392407095012027,1.0564921814010897,1.3949563050702902,1.0514687100444597,1.0208976486787213,1.0069038786322935,1.0510351274390288,0.980808642141302,1.1244277893109214,1.24618974299499,0.9833378042087277,1.1488593764583572,0.9932593168663028,1.0191032425291198,1.0018824157594044,0.9888156703795097,0.9640803953710565,1.0078320167546646,1.1947043437612594,1.0425933303135833,0.8990988321229542,0.8535027440145359,0.8993162306127853,0.8992582492980065,0.7760374547868858,0.722377632167958,0.8087101128123414,0.7640324354863818,0.7468852615648741,0.7844860598275518,0.7193659147459256,0.7619276077410543,0.7074247537554963,0.7029951915738382,0.7390713123847547,0.6367900111400394,0.8396114717920016,0.5721927862355753,0.6350322806480506,0.6047656452661835,0.6612094442015215,0.6936722633988147,0.7603390896385201,0.8847665974199677,0.9487697135276655,1.146245921049457,1.0001655052906346,1.0082633908359775,0.8413072132824826,0.7883337920638663,0.6430008838933143,0.5650136797260272,0.6209969461623901,0.5437662903160122,0.6464182841431658,0.676743060859113,0.7158426396141894,0.7085974239979983,0.6999520295061851,0.7885931473264834,0.8042630852953878,0.8019187950556489,0.838977073817373,0.9231289747327507,0.7756015572077329,0.7818967297027392,0.8690550687115454,1.0573911539455003,1.2067770037270842,1.0440594188247556,0.9277861018784974,0.984253418138118,0.9334494058721824,0.852677266922414,0.8000094420039243,0.6960493846573239,0.6668954326996707,0.6677112157245738,0.7172858742378649,0.8163866856644095,1.6163825544887158,1.341313885171468,0.757119366537641,0.6792151690425151,0.705603849918619,0.7318601617951848,0.6931001131034388,0.7321618367498371,0.8845173428869957,0.8765217685916603,0.9979465366946408,0.9359169303174134,0.9963746144343604,1.0076045928936943,1.1735855017502403,1.0931894120744867,1.0584762737616402,0.919044339061404,0.8368854923535103,0.8621982400999685,0.8604226674177645,0.8592458460108136,0.835613183890997,0.8818614755747662,0.9629797265247342,0.9391319594523962,0.9214810952544549,0.8993309714552644,0.7801092019325861,0.844552673975017,0.9081963450954826,0.9071996868944934,0.9707737593982224,1.01641667190403,1.2837991608299035,1.451252211526722,2.563118357581017,2.8327859330282514,1.418234195870419,1.3503764071990862,1.5156874598542147,1.0409880911365499,0.8894229057860094,0.8791436620311455,0.8285469685791452,0.7629087172470419,0.8515788952369527,0.673557565111752,0.6778129032483072,0.6694072968687043,0.6351832745518565,0.6398518318579488,0.7337745637296538,0.7432350798175565,0.6892457825729216,0.8116125852587999,0.8538871652505939,0.8537252237343119,0.9039768098826115,1.024951862834258,1.0775550167016732,1.142150267564401,1.1267249921745308,1.0519792642593857,0.904256858009386,0.7539825386889418,0.8007561516519776,0.8338525995218661,1.6496450710669202,1.1204804142159472,1.235619771601915,0.8559866207258896,0.8041195858676976,0.8185076078222226,0.7904066880078684,0.8052914334128144,0.7355350092892731,0.8014928696222366,0.9102874200229671,0.9517240884002605,0.8064948489119513,1.1338438197183294,1.0980102068722153,1.055545522932304,1.250253875885426,0.7788423677760428,0.8345060685887757,0.7833688523433899,0.8164350412736116,0.9442366669257378,0.9262911606020731,1.0777070378942386,0.8618030214470964,0.8179919757116089,1.0037926341194938,0.8947822637247513,0.8426817056839581,1.0278989660178837,1.1703776770443541,0.9960642168780669,0.9633765777845579,1.1424566160349994,1.2374654778715992,0.9883932577709363,0.9863377721794551,0.8567050801164187,0.794108070956459,0.7800406630531092,0.7293589878654486,0.7316837404972804,0.7041541329708196,0.6835406461396087,0.7052851880605965,0.7517281863072185,0.720910590254558,0.7809710312137556,0.9977233186190364,0.9219452789058544,0.9421638585631131,1.0563095326245264,1.2368205342512961,1.1876762234072282,1.1218139527028168,1.4669951389420155,1.4920374982233122,1.1220485711470398,0.9822948829195306,0.834406349975569,0.8465913703484732,1.0364512017805985,0.9181297636568441,1.1602010480478482,1.416437741444061,1.0297473234149421,0.7678444031766867,0.7113611183987217,0.6899291206865775,0.8426634217568296,0.6334101757758489,0.7048235498439029,1.2443183286386637,0.7041603618180298,0.8875158947050301,0.8214561677929813,0.9508932859995564,0.9653836829562422,1.0622195156028056,1.7268907914479978,2.525905629472524,2.833145544336038,3.9593927443238117],[1.1399113569153463,0.9949443272558385,1.1643701265142326,1.0727970514218677,1.158969031222071,0.975955827852839,1.062489724508707,1.1629139118214173,1.1310565455567567,1.2707290725854066,1.3473140425815107,1.4010448746439519,1.501819799709591,1.46951365526103,1.6056372038477653,1.6233686337986746,1.6712689734345576,1.7040183528011756,1.6365956632736298,1.6454091171608842,1.5745284542399978,1.6003278397577723,1.5077677231052633,1.4206234891003757,1.5108562226566573,1.529735005463145,1.6276464597148033,1.5898844047698826,1.6691192586005874,1.6740076533236703,1.6878146468366142,1.6620814495151852,1.6515478899612175,1.670476577792911,1.6820578683516063,1.678744230743912,1.6823726142756397,1.6806556384195441,1.6671556221737538,1.643939432002243,1.665712221334646,1.6386175252824933,1.6463848983465144,1.554637501274074,1.5802740847776962,1.6722009930143695,1.6970400241983552,1.5984123279295863,1.8007531231783418,1.8689090365488734,1.6659160368387826,1.7880716423159504,2.1747388746444525,1.714094907621515,1.9363620327307576,1.7341918980491795,1.668302859071366,1.9329442044027918,1.7551412522578702,2.1942272607715516,1.7485749728879698,1.6369164560792742,1.6510149582306315,1.724152326779793,1.6424070804014426,1.6578962701901179,1.6839788200102734,1.6602643896276057,1.6718335114687926,1.7689377080943425,1.7233909976638149,1.8449730057883782,1.7437812213732686,1.8209099695966837,1.6753910881960117,1.8565540137028618,1.6312785835324373,1.6573692456698348,1.646334447138988,1.6348728760217885,1.65913266289064,1.738062808267448,1.8656679260129976,1.6662353285168006,1.7522066837647272,1.68522464069972,1.677006401917712,1.7078414851416495,1.6548905101521023,1.685591632895418,1.7118110276641039,1.8669821783875507,1.76159407286151,1.6801927447956326,1.6646099438153223,1.6503632353492106,1.661542895152964,1.6019079608589846,1.532111397583359,1.543056687196742,1.6036920152240433,1.5004515526853865,1.5970627212062365,1.5149180834452658,1.5182828037165548,1.42296348809323,1.389925861480992,1.3737231375785248,1.2521941062638815,1.4027682023725825,1.2209354792170335,1.3043803623690562,1.2634319890604229,1.286391863695893,1.3813661789292533,1.359856586818773,1.4995932640918148,1.403424427189925,1.528488052930616,1.6651414143321026,1.6524154126909019,1.5297984889218514,1.2837118968116574,1.1850615248032068,1.1047196862354336,1.1629400788185258,1.1158546930827413,1.2482055736530553,1.2790056331437103,1.379852755023066,1.266963693908926,1.3087693861146492,1.3675383823554905,1.468683504756586,1.3801222610007018,1.3869359697624066,1.37974292063208,1.2880622221428324,1.2718929034375737,1.3574290865850498,1.383333680514633,1.5179256837383934,1.458017735023009,1.4274326364794903,1.5273664228957609,1.5682233143664803,1.4996577937733828,1.531933727074541,1.4457918980338287,1.3752735434366323,1.3486058290370406,1.3661989775995396,1.4336606374936813,1.8503008611308231,1.7910002989821598,1.4907004504293548,1.4794986410636703,1.4778497229462035,1.5408496983651971,1.4410753829102811,1.4378721399444723,1.5798808760203864,1.4462042511102913,1.5864761837080197,1.4294071891100573,1.422299331429644,1.4360647349127906,1.4938733334695289,1.434602807105853,1.4260676773996797,1.379159575887112,1.3461249943241855,1.4204044187388165,1.4830519640866715,1.5466901373295412,1.5848250387221139,1.6489577369841084,1.7186278093381617,1.6593573679609959,1.6405401761451195,1.5256535218441616,1.4717836591792894,1.4631482097276862,1.4949696723955475,1.468475163086409,1.5139210021671665,1.524327088182342,1.7659870879145836,1.7777998030192117,2.7553967603041416,3.0544769235151037,1.807501523693713,1.72803186391679,1.8130728109410612,1.4930994281644197,1.3562334222718466,1.3189068788920937,1.2751332517646787,1.2106696255438805,1.2714109753258298,1.1718285180774966,1.1970911623677132,1.17162192602085,1.1211686464749362,1.1228380811914946,1.1525393737500669,1.1853350219983518,1.103846699596743,1.1656987010676112,1.152156349759138,1.1185242766839967,1.1388994333213047,1.2055087387087973,1.2482796405641179,1.2729280567134642,1.3368632294309568,1.2817728496369756,1.1970315696220863,1.1173145335667283,1.1420575898963807,1.213705982841844,2.008738900447285,1.485661644084577,1.4138223491992992,1.219789454811718,1.2496395102452411,1.2603774699732362,1.2517313533709584,1.2728197118357467,1.2151532235515787,1.2523837100052426,1.352401408395144,1.3480230340211141,1.2541867305171084,1.4879073900879292,1.4418616361869898,1.374113277993204,1.588058689553738,1.2121101246066541,1.2707452536910402,1.2695736208079889,1.2931610313655972,1.3750712639600375,1.3240910626839493,1.4534083757300773,1.3012536151643117,1.2580057158370708,1.4091744766221859,1.3134691863934593,1.2572851026873268,1.3543164982528966,1.4322179860642295,1.2855544865785753,1.2620949388421203,1.3779590348823911,1.4448770767837096,1.2320148503731012,1.2240423834736203,1.1535953920103557,1.1562385048784274,1.1915527411019284,1.1989425367251423,1.1368827154957177,1.1404474773656992,1.1571677329054648,1.1313675680994568,1.1392561608853602,1.1438066192261132,1.1779445320952904,1.2790658168415476,1.2294243971556813,1.2772791584019747,1.360686985414198,1.461117235707064,1.4239734187339612,1.3992601344242328,1.7262578848264971,1.7671228168314168,1.334231786573094,1.2535387856584783,1.159255704988256,1.1466176504367627,1.357381075068293,1.1784950617086225,1.3185474338999854,1.4761318031292436,1.2847345601590023,1.1776800693050267,1.1682089796500286,1.2017531510442832,1.271653135752044,1.182877601874888,1.2027084600051052,1.5579128860097058,1.201728196552833,1.2482487278680456,1.2405458556417355,1.3233359271486118,1.2393500865606462,1.3216738690397447,2.0074981800644847,2.830957169760548,3.2204792228413934,4.505353859065196],[1.057186931749847,0.8390618314996082,0.9850264924359979,0.8596566219787449,0.9408642637717232,0.8559209515308143,0.9053457471851056,1.007207674859193,1.0213784254770748,1.0775491694763317,1.1577681869633873,1.197168716903356,1.2029569628756855,1.2048108550664847,1.2792989960024288,1.2523952836479868,1.259765961159303,1.219796377767933,1.172334708480811,1.2076932009999763,1.1498399523409901,1.2163409437725017,1.2023190192371207,1.2213414281705437,1.219533854308294,1.2023060546931237,1.2366964643012843,1.152334900408968,1.2199554490135716,1.251588212360455,1.2320164208272495,1.2657203643147144,1.2540673512109777,1.2033677663293947,1.2261552467928842,1.1984375715341804,1.2585568814073744,1.2524943192160667,1.247208534541293,1.2429915276993324,1.319931281344406,1.2797326026338656,1.304611783247867,1.2355057337108328,1.3205691085337778,1.457219456960705,1.4756996493764878,1.3123319977984762,1.573368700283686,1.6762636039910033,1.362639782569532,1.4910287266238742,1.8510267967171814,1.3770342213547455,1.6942493698906858,1.364082377770833,1.3183386436913314,1.5409933948809253,1.3282611204923633,1.847394776110728,1.3442844847213482,1.1431644389497648,1.1304048447311983,1.2715991575592678,1.2174122268470309,1.1645763198634498,1.214707476184173,1.1609757733291963,1.1649262040462052,1.2411059062368412,1.195235168183227,1.2945880837180652,1.214219518977419,1.3413724803530327,1.1452903536166872,1.4273191208436464,1.1338931192194561,1.1530478370167208,1.1717113008161517,1.163012058469788,1.2145569012437576,1.3209054677974656,1.4700312884545474,1.2562744276202438,1.3518764685526534,1.2612335251738362,1.2347856303243465,1.2458755669213306,1.1711310628919036,1.1933664422177337,1.2104772867305498,1.2994570608026748,1.2671731309460281,1.246406743146098,1.2620466226273082,1.3072918677104475,1.343419425477734,1.2708409412514905,1.255046913485441,1.3343546471233911,1.2818447261658097,1.2647929419376494,1.2573284870488042,1.2073859860350113,1.1740954331087463,1.1285698382112828,1.1199541649287363,1.0922642688758402,1.010511977831224,1.1688562616995022,0.996207255413359,1.042123151719696,1.048996883165084,0.9899031335653857,1.064605688928953,1.0211172610485577,1.087989272237996,1.0233854271138327,1.1042849186585257,1.162922352000761,1.1331219218264608,1.1236749167845794,0.9571837067889384,0.9190965437790658,0.8754995880411708,0.9047524672137235,0.9293596092699439,0.9782464165459385,1.0016000913231293,1.076848073247054,0.9696670406160756,1.0003929845567179,1.0479346702636116,1.1562837269858564,1.0700256711216327,1.0900914182851036,1.119551914041148,0.9757989451755752,0.9429051491412567,1.020820834268232,1.1090076880565556,1.2356481445923237,1.1011219744555423,1.0599888554206733,1.1282782831284361,1.1421748724517438,1.10711886653729,1.1644923817563808,1.1315947303579073,1.141550493073226,1.1403807926200658,1.2301781039976463,1.292753445246499,1.9173265911218995,1.7430036750149511,1.2931260238658364,1.230782622836479,1.2249513047656042,1.21726382399597,1.1399217931137746,1.114633180458236,1.1991290999979998,1.0873340546048917,1.182027225262816,1.0849655361198676,1.1123713841728875,1.1176970261796761,1.1893331551913093,1.1336578716793424,1.1401568825128086,1.055019244925511,1.0140545947249258,1.0715613792051089,1.131681598687248,1.1756228034804361,1.2235641300647002,1.2601081713365176,1.3672453497288435,1.2410271300370774,1.2595464525960727,1.1754125952170513,1.134626451427898,1.116327587940472,1.1437344800446114,1.1294461335058783,1.160808192648784,1.1448088063444668,1.4114301968077028,1.4181408108309443,2.5145255592759916,2.910995455356117,1.5814445678135691,1.4297641179360503,1.5766172230307585,1.2224954227458793,1.0390442272336422,1.0420769749644843,0.9942582340143608,0.959485904508109,1.0334979669878737,0.9432861711345533,1.007301257796607,0.9740340807082325,0.9137244562869193,0.9403506315173332,0.9928874219323156,0.9801263449379785,0.9011624860145965,1.02749193762008,0.9930879814474584,0.9446688470672021,0.9963924333244065,1.0914663888576532,1.1160831266961873,1.102502284940455,1.1200466204805215,1.142104779942573,0.9814975677004689,0.8928042363487352,0.946961884761016,1.0088224479282073,1.902731937757723,1.2710876497440806,1.3726521905862221,1.0547691931414855,1.05375598540819,1.0669768623508813,1.0439436995354148,1.0513053125541807,0.9940897915686151,1.0080822514653733,1.1040924590797854,1.1413361462567904,1.0069640646276643,1.2681731782831438,1.1607789013262442,1.1267540775017155,1.2893812793343906,0.972697887039108,1.0392985147126936,1.0164034010555945,1.0817619367409603,1.2057370055848613,1.242389996654637,1.3477895701917797,1.144489177052529,1.1176554232771923,1.3092603432141012,1.194824651685404,1.1366988893919128,1.293035107377856,1.3835091889552893,1.2003875179441459,1.1899890813503922,1.3230629940226013,1.3719950941412513,1.1552187402529197,1.1594016397040683,1.0531947353574052,1.0450802691769894,1.0600359323611346,1.040037265545577,0.9891808736140395,0.9696407095480626,0.9783023159795193,0.9453924373440341,0.9525778756964367,0.9339444172366621,0.9651971879822477,1.064603676018796,1.0364131625914252,1.0572087433039716,1.1384756009220458,1.291951568266605,1.2527702019546298,1.2251220225684973,1.5188054271146045,1.5581110475024293,1.1472709907675316,1.0394637282932786,0.9384429104984117,0.91394461329159,1.0871466178552929,0.9939162421414721,1.1826308886469579,1.4375372427824078,1.1432868229837498,0.9781726034007291,0.935753051635567,0.9624495778843043,1.0586988724299746,0.9896881148120138,1.0440712879156562,1.5422848161694769,1.0518136069934196,1.109303623079464,1.1580196967653107,1.2068572411348637,1.1403522185223962,1.29486765966023,2.095610058460565,2.85404061219679,3.342169486290227,4.631402892153136],[0.8634782418181889,0.6095943433666081,0.575399677397661,0.6205371166448934,0.5265884738175259,0.4032052169243043,0.3756004659228995,0.39967485919141493,0.43019252044405293,0.42954151071728974,0.4763945358542847,0.5246982588377207,0.5100083997390614,0.5276112936997339,0.6337363500033902,0.6034152997786711,0.6868236544361908,0.7605408032341716,0.9028530722049118,0.8853685767678265,0.9452097689567857,1.0314224815905226,1.0832281558627845,1.1027853914762265,1.0314340992776923,0.9875222494040216,0.9136515248484699,0.7444494220057544,0.7184211723066466,0.655945922691875,0.6880470228935858,0.6357479992980221,0.6697516271930306,0.6858402093741309,0.6658751085113759,0.7006178240040014,0.6867552116469083,0.8044085372817011,0.8316327250504537,0.8483881517607202,0.9961269066204519,1.0010106333450344,1.0343048560531074,0.9555446429476661,1.1559875035722196,1.3186919118853089,1.3235904863214307,1.0623163290737025,1.3338101804486449,1.5205178839307492,1.0809419946784684,1.268555560613315,1.5342183421360867,1.0602848930019437,1.4394435006639645,1.1273555865999734,1.066476140587637,1.2282097189859964,1.0519984627376229,1.6962695146628564,1.1653445535297526,0.933970488392039,0.8666552163624399,1.1593418457550988,1.057274718212048,0.8985474521734591,1.0378441289443223,0.8823697512326394,0.992840362634862,0.9185617312451367,1.0115029627372416,1.2082878784423188,1.0252760590107595,1.2287091647035528,0.8597605347694183,1.2611548558804258,0.8473160176446802,0.8093986237217187,0.7890813623112881,0.8042064756805373,0.7701835701116043,0.8968999536020471,1.1176565285772797,0.7507245565817313,0.913976378919816,0.7626255994897367,0.7997513211469142,0.7765441391821394,0.7597719294748266,0.7407580776091427,0.7969500030867182,0.9960730500720203,0.8381640391748275,0.7224845884116599,0.6853824455276558,0.772570551464553,0.7755895363905132,0.6496058391455927,0.6053562568487737,0.7785147899198266,0.6005585960075928,0.6324018185229997,0.5987657510286925,0.5439533692499737,0.5476782086870834,0.528175683247333,0.5578278040582947,0.528177833122114,0.43746628067283827,0.7164016296856913,0.3916047001107093,0.4396191759529165,0.4316735784024806,0.4501505427026981,0.49141801215089187,0.5602528364246174,0.6478146436983477,0.7418840501226609,0.9092897692502078,0.790147336757826,0.7755129373377889,0.6214764071748489,0.5980043000234999,0.44617763056375975,0.36191068988839753,0.45072527775700155,0.4320161034407802,0.4524747789421521,0.4691047756573917,0.538794880366008,0.5018994181050898,0.49608769118840873,0.5995387744118663,0.6435784470248864,0.6242944945914194,0.6647186515953202,0.8014276935389212,0.6056293720677433,0.5985793182531662,0.6851436689010519,0.937726872787984,1.0606248729173584,0.8498780685313484,0.717907352414501,0.7564038341932627,0.7059717819177789,0.6220519537078654,0.5761101938494506,0.5008962388055122,0.4962941947601879,0.5177805864853599,0.6481354402312758,0.7752813001685865,1.7211367493742247,1.3868409963001063,0.6894340184620329,0.5510098410497318,0.5461923601530269,0.5418828883801103,0.5010642219855987,0.5405298097063593,0.6704152837587114,0.6608545204686473,0.7628845112085426,0.7243091890629612,0.8338058596431761,0.826793926668769,1.0044303922484759,0.9317659751164271,0.9232481939293462,0.7516879589916886,0.6523634030149924,0.6458754785784505,0.6403147751594411,0.6330746256190674,0.6133689815066699,0.6509182583147669,0.7929652396262228,0.694864212643942,0.7051028642757571,0.6946890522953484,0.567332914866638,0.6254534963110194,0.7087161800045845,0.7198396877815105,0.7687617271640927,0.7913440741327541,1.0716345678861203,1.24394491758534,2.372291630251984,2.7522741548769907,1.28808933731213,1.1754045668908715,1.3932959581570665,0.9206899199600409,0.6862740911430806,0.6781677941138442,0.6105917882765122,0.574308117953511,0.659377784720386,0.48934910532761394,0.5484660619187749,0.5064138676170474,0.47005978899907774,0.4955455600566732,0.5997780111659791,0.5956334648877049,0.5156281178305822,0.7009831836242183,0.6966139164031687,0.674696596218718,0.7522673132625016,0.8910209498290251,0.9074512395232429,0.9381695494649256,0.9188942453983242,0.9450559690430019,0.7611625839300593,0.5967304001219621,0.6324366668056792,0.6848033283727732,1.6777468274973975,0.9786506275749249,1.166189240657456,0.6975862779414683,0.668751018400523,0.7135025902706013,0.6749597731261072,0.6527759215657236,0.5566426129548085,0.649830094704094,0.7146416135042993,0.7984269693553414,0.6071281236588143,0.9544681549474444,0.9004968111931664,0.8827015790530411,1.0590526968574965,0.592339599070139,0.6285176775335469,0.611450444203585,0.7047398828606752,0.8762678082415232,0.9548700165091267,1.0853335046560717,0.8089840899245128,0.8052011018399498,1.0621366851225031,0.9015317616209056,0.7961795344992594,1.042753268433558,1.1861805771051344,0.9492163707206682,0.9319898040911668,1.138689433258511,1.1937629450432723,0.9166149393902051,0.9291053436292745,0.7698848057381728,0.709266333224419,0.693087327055592,0.6060958401935331,0.6284403861117354,0.5684300120715917,0.5342335422705717,0.5417783281648931,0.5974129499062958,0.5517831856517499,0.6031313134632471,0.8236476589850865,0.7788439236275354,0.790249925009531,0.8982535441543448,1.13885078246738,1.0940366908628865,1.0698052860711829,1.4136485054150683,1.4739622097434988,1.0409153893977552,0.8862836926488813,0.6935113127110492,0.6525620166728392,0.9163293539837635,0.8916578441070737,1.1652625722855503,1.435137679733108,0.9440634203630827,0.648481312745774,0.5247144824132212,0.519964680749351,0.6673992843767624,0.4863368025129432,0.5932417274060591,1.2875053813758552,0.574048291669986,0.7445497865533066,0.7432224823366587,0.8379204711855314,0.8702122289476795,1.0182810754484688,1.8203520172522873,2.545956276274211,3.0045202869843024,4.19021470115324],[0.8909825305003407,0.5893021014814853,0.5292319359375662,0.5515482577298271,0.508726401541538,0.38318430154526684,0.3260243171043491,0.3202594983661034,0.34697701981132856,0.2886715007588862,0.3057169949812047,0.37584797244878676,0.33294004577947445,0.3549283870994739,0.4484219125881123,0.4126015042799147,0.5230733566776554,0.5881677330136325,0.7204679676657391,0.703134195048836,0.7572229514041025,0.8524674632028957,0.9149556261767219,0.9241708380171753,0.848838160292292,0.8114820730279279,0.7286962962356374,0.5949311019225045,0.5463267000523552,0.48359048873013066,0.4993085067413146,0.44574661938205196,0.5077845779965499,0.5162481182426814,0.4562994153683816,0.5158512802234353,0.4824808500199436,0.6197702326234593,0.6627885493729758,0.6504243123416543,0.8214891036416802,0.8105833427658252,0.8216176928342598,0.7638841215685329,1.0206684380255189,1.2138577084291347,1.1720638922135596,0.8724796448102567,1.1878809550534413,1.4281235553879807,0.9051992530235289,1.1380873575456072,1.2594525861323078,0.908213667960113,1.3972040213625239,0.9653375666009932,0.9311726233339329,1.034461849396871,0.8714413576333642,1.5559367899350158,1.0153037154986204,0.7593909202598654,0.6768339256837496,0.990555481067706,0.8642542727434626,0.7012633485641517,0.9016188598072918,0.7192680881545627,0.8511581312872354,0.74007510075352,0.8957326700241722,1.101067556444996,0.888884500055486,1.044331347418349,0.6911115542432708,1.167810498269164,0.6552102282861233,0.5957403138368007,0.5759330984690022,0.6016647400271748,0.5863289959935626,0.7081342220332549,1.123396446966588,0.5817393493845915,0.7347784694517043,0.5839584155511159,0.6108735574104016,0.6021737585019883,0.5617941065600913,0.5656550577975424,0.5931736930076335,0.810942415100509,0.6426479182996641,0.5292085684048399,0.5048516403910503,0.5912654594526456,0.5980443433534908,0.477334733281563,0.44902145110763536,0.6794295683191666,0.4440093702036154,0.5409005417392473,0.43916300517024626,0.4381177730675522,0.4411951373211935,0.46612142839409154,0.5432791565661369,0.443990231612655,0.39034021580479655,0.7261203898235005,0.33380183807855385,0.34337935496211225,0.3373530055548029,0.3745814666825319,0.38338088063146364,0.4736944719277811,0.5364845544027058,0.6140760553579402,0.7792442557162255,0.6723689847536809,0.659474711997132,0.5570718917662956,0.538110797909291,0.3736288435277817,0.3162384228200668,0.3892314081322052,0.3841968345949314,0.3805718695502382,0.37425482612261207,0.4483330047285589,0.4390801517452342,0.43251300117563307,0.4925607596814998,0.5454323088106005,0.5242325609535382,0.5769151017430207,0.7396448791657502,0.5081081367928691,0.48497744021856876,0.5608421262572212,0.810857499525789,0.874817703579488,0.7119951565835484,0.5829446991228522,0.5995464824131622,0.5784119247472792,0.49417378394146827,0.4499791597052627,0.37488453527423315,0.38912767442948787,0.4369903987136906,0.5895273058705893,0.7533962030904867,1.7491109042399255,1.3419264353780354,0.5973600468642166,0.41043075627485964,0.4238710276813835,0.38549475065034056,0.39534567813191185,0.44184031329473317,0.5214088409098367,0.5328247541556597,0.6072799481200493,0.5948097136119556,0.6993552872690912,0.6952095473770538,0.8591568481658106,0.8398589814991941,0.8453939901612783,0.6532241706037101,0.5418881773540666,0.5170056468223977,0.496415960728475,0.47107818507352484,0.455972209065381,0.4741464273420873,0.6447804550434012,0.5095852023572894,0.5339039415684548,0.5268196900339709,0.4346418912386621,0.49051600988421384,0.5630356562264257,0.5736952838345231,0.6202684860375715,0.6291769366443707,0.8677979642757979,1.1437076750566333,2.213828650211194,2.661621524150821,1.1923901337649023,1.0380500498062148,1.3106079913963056,0.8374551108304603,0.5840473313374368,0.6115313314988043,0.5440648959202192,0.5243090271310176,0.6238759309117398,0.4431728285130158,0.5202494110009472,0.46897969763612474,0.4356339165344744,0.46502378169533054,0.5644405291233842,0.5810032706586427,0.4876979165213943,0.6807659757056701,0.6506839444787624,0.6351533439834387,0.7142384990057824,0.8513092342744233,0.8536457352482907,0.8691952177575274,0.8417047631000085,0.9199872089376006,0.7487194786851529,0.5850931035952577,0.6140541976128813,0.6654863352461106,1.7304295909987952,0.9454724271743942,1.1881891647558025,0.690205157085687,0.6561853595872946,0.714023261857827,0.6623369607100255,0.6237320879972058,0.513903115213674,0.6126004958142212,0.6407131765351125,0.7585828216266047,0.5497344276788387,0.9269708574819715,0.8341903786659975,0.8469296723675916,1.0174963543441449,0.5550643879895951,0.5714684450336864,0.5632155099295983,0.6834312478839736,0.870376658210952,0.9729925754228589,1.1029330773357804,0.8185038833018086,0.823630577254824,1.09773645863296,0.9287342478941073,0.8029383397766834,1.0659992749737945,1.211511884667796,0.9527753226039566,0.9408946577593847,1.15533664727633,1.1936371920787194,0.9067420857934623,0.9287856107032397,0.761258333623172,0.7112610109405235,0.6885413492305495,0.5965447739320979,0.6257855915459601,0.5484134633060569,0.5186837310792541,0.5202494770194384,0.574433225537738,0.5293355519028865,0.5770023049051161,0.7982024468051617,0.7812722592479074,0.7813408798658401,0.8761714937727207,1.144844192470538,1.111345870271938,1.1187752671489386,1.42824453047673,1.5191972760425887,1.0708915176496598,0.9318753831831542,0.6886330277617807,0.6174417166121526,0.9683386392516042,0.9962171014240968,1.281917421491136,1.522974677043374,0.9636179338184028,0.6571836024039764,0.4962483877613382,0.48359028448945607,0.5989407850994654,0.4596057227069187,0.5796442081116359,1.3314579949103156,0.5437716011660485,0.7075691783008784,0.7480917613607885,0.8401392266319302,0.8449428997910441,1.0248892388636013,1.844140037097222,2.5378015041158366,2.998458162637689,4.125235737008186],[0.8923161752231235,0.6311594429153383,0.5388601152620064,0.5694719924996928,0.4927102061996074,0.37406267085324224,0.3169125802733257,0.31754394554143156,0.37912863971929833,0.3284077308183855,0.33341312242644283,0.39320261392062705,0.3474979483527389,0.3681875157188927,0.44937106450558106,0.4050961654516176,0.5150756114356092,0.5743511725656377,0.7005161484303675,0.692341077085353,0.7319051432563862,0.8424626099034372,0.9033840324666483,0.9204000191184586,0.8457034659947408,0.7933176715283515,0.7414677595352189,0.594255742428521,0.5441472368678788,0.4819539390926929,0.4913611146114678,0.44214153751325014,0.48114336184694667,0.4926723013541881,0.4478849775890405,0.5061018797532338,0.4755575755622003,0.612720673940831,0.656932498882422,0.6629211595912905,0.8438042188276589,0.8170467913753284,0.8239843346667132,0.7942187199020383,1.0961873724572722,1.3099696411144406,1.2926352649912705,0.9049091862105845,1.187205309469633,1.4701854136921189,0.9603190353654535,1.1527758875849863,1.2441482396922807,0.8972334547736348,1.3755880742567208,0.9866257395235343,0.9151556007761464,1.0816475115878426,0.894089584628636,1.581708129110552,0.999054870739286,0.7372205351432688,0.6605091445811647,0.9547887482116912,0.860264634723004,0.6881333943358492,0.8756643599475955,0.6943020486989632,0.8256511271037218,0.7342202779939474,0.856851117576325,1.0901604739269029,0.8704919199904881,1.0402120174680927,0.669217752563786,1.1517792625516425,0.6386400178386411,0.5862861096380187,0.5668384889244421,0.6051912720374854,0.5768271033058715,0.7186387446908701,1.0791699148547802,0.5738061466961101,0.7460386670940179,0.5807855697903035,0.5961433224127177,0.604937693387965,0.55470898166754,0.56256545820711,0.5872577147146508,0.8145607919439352,0.6364887363078467,0.511685837105253,0.4900546341422728,0.5801600885960163,0.5950033214733358,0.47319950234083824,0.44644802557594704,0.6389547666756806,0.44360875073057854,0.532554309553014,0.4349189135592,0.4381636412519662,0.44739588585877943,0.4812755282866633,0.5595393177007341,0.48169066856683956,0.4299879652355993,0.7721636099584852,0.3760413607382031,0.36768983266254673,0.3497146232011419,0.4123953424910904,0.41116965163323466,0.4903101781445865,0.5403355286964355,0.6336666802071715,0.7925319573984888,0.6515375745698012,0.6614419096812157,0.5485430620924837,0.5412327350149706,0.41403059031442274,0.37590202238251835,0.4420513652535676,0.38076573848704537,0.39897024228294553,0.40657164432527815,0.4738268784119753,0.5131096954061292,0.4994280909512449,0.5447477575763302,0.549992194471928,0.5663854214035812,0.626359675729617,0.7773388366375396,0.5692446897603816,0.543530355596074,0.6091490191336567,0.8528714262435049,0.8947173363770908,0.7201762012532701,0.6007419465302345,0.6168770962060738,0.5895404140353947,0.5204720431945288,0.4861808499809756,0.39554335096838544,0.40435873693264324,0.43336521103982606,0.5565093514638251,0.7413230382282556,1.6919938530450422,1.2633266677348145,0.5727786652451152,0.4026942668071413,0.40961305276887705,0.4001414358247231,0.4162269831274716,0.4565582476070202,0.5495203250341585,0.5710594369912253,0.6366151579008259,0.640679177458498,0.7360902289390768,0.7526226062684545,0.9579523545221218,0.9342031358668801,0.9099913207899855,0.7043514555307777,0.5951190451570006,0.5621807009930603,0.5246052294804143,0.4838666899135967,0.4555789677348575,0.4926405581139398,0.6179887041777468,0.520543724465165,0.5460529241223452,0.5424291576846109,0.45300724117866564,0.5305126565800696,0.6252458041496577,0.6209550721328104,0.6525067137118312,0.666689871458647,0.9049066755276538,1.2168229197027123,2.285678904306418,2.6605998466138656,1.1811702736695724,1.1144554766267876,1.3894493023066152,0.8753258982887179,0.6753254666165577,0.6797044704872743,0.6384730319170657,0.5896770343873962,0.6825915017336326,0.4778243279565177,0.544651561093868,0.5070821647766577,0.452061532265277,0.48766738428246537,0.6186940187585361,0.563680386937764,0.5012654974135476,0.7388533400138102,0.7306646456906096,0.6877586473933776,0.8028734152966238,0.980819266635985,0.936159925740514,0.9735816021189033,0.9146102593645316,0.948579870085469,0.7543078719761535,0.5816340540649656,0.6354636277919278,0.6716977390335155,1.620252458906907,0.9726735916040493,1.1751231253670216,0.695804178092728,0.6510101479339737,0.7167311821800177,0.6545103222421383,0.6638365014210231,0.5444821626714584,0.6633622259557075,0.7178889939764346,0.8271027467160111,0.6249748711079327,0.9555141083524673,0.9503750765440167,0.9285289425705432,1.1103234050343234,0.6145503903568063,0.6217562503815532,0.5907535438270434,0.6923105695656815,0.8772974099201323,0.943477625867282,1.1021263768136766,0.8389665907639672,0.831727213719311,1.0938729220878076,0.9537397910923511,0.8341841222507744,1.1138674997266511,1.2835365219371502,1.0416104791905576,1.0108574025846335,1.2492198138698578,1.3110423961787696,0.995219982766255,1.0097694134929163,0.8166653001157793,0.7475756310745395,0.7225479234994234,0.6078557783825322,0.6430856882381726,0.562982222525432,0.5175222857500767,0.5228045671539697,0.5726269624128305,0.5386772430687673,0.6031563667986021,0.841821151291595,0.7927750520027294,0.8362437419214017,0.9462228608715988,1.2032844955444,1.1646129522121706,1.1377895280212396,1.463017884682045,1.5048558666490346,1.0910636226227615,0.9116511260889923,0.6766499548168559,0.625805044342153,0.8980288088474995,0.965207283550814,1.3069487005578342,1.5763403968527252,0.9877860800831494,0.6578379109657598,0.5499390507594164,0.5224920163753333,0.6868699565194768,0.5115938249504648,0.6354224766652418,1.337441015413505,0.6010275260223426,0.7951669710946945,0.7361118818775505,0.9074475269536748,0.8712143414940435,0.9734830112655624,1.6277750065798868,2.340899995672243,2.68742569743955,3.6645248998627116],[0.9134376561162647,0.577377256492789,0.45514543255491224,0.4859963072337562,0.5133980279137793,0.40312260025636404,0.2929804535430639,0.32474929361304333,0.3321881437227884,0.2553566256862122,0.29778750509156326,0.3744937416807095,0.29590185252717693,0.3257642349027459,0.4351752236627417,0.3818722793088004,0.45211962308325704,0.5328943433717384,0.6679655744382509,0.6348070293130994,0.6927592031319311,0.7935967105703376,0.8649443874608328,0.8750256757510011,0.7751173121284834,0.7387618970011519,0.6391397927537891,0.5142554270045443,0.4684095088820745,0.4123326451620004,0.467332973847179,0.416720269903936,0.48058713155562965,0.4895543665596091,0.41370525787012724,0.4512681803352693,0.4239299752150639,0.5236619251087438,0.5540402857711697,0.5352883342501399,0.7173068059003694,0.7348173660752321,0.7408587339368343,0.6809678734742136,0.9679549662120855,1.1954769054617733,1.1294330423295422,0.780598244744632,1.1386219644032956,1.4267822524872908,0.8462121273696754,1.097662765467635,1.0937759109925211,0.8385765416865093,1.3825945759485754,0.8816367006827789,0.8773120530282967,0.9344947501055304,0.7876803162400322,1.4736823577730442,0.9277537519237309,0.6889043725931013,0.6186964325209466,0.9404822741113177,0.7838561880114118,0.6287603093352196,0.8659716600137966,0.6725460051824493,0.8107440058352801,0.7160910789670536,0.8944857073068123,1.1100929485358224,0.8754273223679131,1.0239922457082806,0.6587296247489853,1.1409927217763787,0.6081568795793354,0.5482085267947672,0.5199673506901317,0.5222602498172594,0.5262252662725784,0.6167189223764203,1.111298463024914,0.48126799623081157,0.6114140688987899,0.48781258477786443,0.5275932016468738,0.5426471965543656,0.48726710100513054,0.5100486837106198,0.5365203559921465,0.7567164685747969,0.5918622053969056,0.5158684367806393,0.49427065208151827,0.5772293700966886,0.5645704774707414,0.46601794489973614,0.44901915605891546,0.7030048440210714,0.44533020074194424,0.5892328349910817,0.4033435555150979,0.43821295853225206,0.42746867587560344,0.475905344920943,0.6177433827395981,0.416604580834047,0.4180290562912224,0.7435337327812095,0.3731979163786957,0.3110843412586848,0.2835707568889548,0.34433073605838577,0.327610544859994,0.4233506362501766,0.47049316106871664,0.5472949370990589,0.7202548501743347,0.6045153702006786,0.6016074883999901,0.5079932405863747,0.482750512093554,0.3547611414347175,0.32355956670162916,0.3682894814146133,0.34492068309814367,0.3435172724102272,0.3320744814627566,0.4063666794383793,0.46144032184500594,0.46381116720951004,0.4500597534730904,0.4834447510293344,0.4818624828980513,0.5417679170513983,0.7114185764762385,0.4745188800048961,0.453346686206975,0.49186994972635634,0.7431947214008696,0.774728096594184,0.6296873177121834,0.49764975473063816,0.5013689628897804,0.4919532492600287,0.41145388483348744,0.37687325035733366,0.3083526700051327,0.356218830805726,0.4484943292949502,0.5938099333312836,0.8509785690097235,1.8406735914143078,1.329960353365664,0.628927848823899,0.4007437040542363,0.4345666795213389,0.3612460308559666,0.3790705033923332,0.37064250999096215,0.42518911508201,0.45313534105230907,0.507392446618961,0.5057196858808279,0.6398873809123253,0.6321967662304232,0.8488129500364584,0.858936903769273,0.851778290948912,0.6177310508490499,0.48675578137451864,0.4339898388036666,0.40250046563461667,0.36654758308126134,0.38620128470513543,0.4114133203355445,0.589884262912783,0.409542026473061,0.42288537587571673,0.4375087438453405,0.36906131137307246,0.42836609689727206,0.4814013273668216,0.48782097268747815,0.5210606291973681,0.5413411200798333,0.7459252473493597,1.1528938090442558,2.1331959127162174,2.5787209153178106,1.1167971305437814,0.9559660648014308,1.2459852034603516,0.7774675488265086,0.5831798408775658,0.6156111863803481,0.5759780190345706,0.5714082802888297,0.6747058302914114,0.46537376493263344,0.5274297167255326,0.48264518295019665,0.4667666161439383,0.4705800039923225,0.5627918322048882,0.5577471367532523,0.4858974501750067,0.7043190324798478,0.6377142917241266,0.6210108741655482,0.7181705495826726,0.875256954901327,0.8043543260576002,0.8430369416320521,0.8068926251656073,0.919386818092532,0.7982734997681961,0.6160470342459509,0.6262847303282789,0.6510567293182875,1.7136707805500613,0.9070477647071764,1.2517948806042436,0.6991254777496082,0.6494250375608508,0.7275710126604574,0.6747518585141173,0.6273828823064477,0.5186540658566406,0.6618278668813072,0.6546365863483413,0.800914129471887,0.605497223251499,0.9401997794055718,0.8948205460532446,0.9268295621781851,1.018199889691008,0.6159517711355793,0.5852432407308267,0.5689746554335257,0.6908217187120925,0.8969313947939864,1.024819413713975,1.1412882464059506,0.8647889529579382,0.8790617660117652,1.160699385519371,0.9933843626376018,0.8468874583167558,1.1446997792784717,1.304031234976816,1.0164651501953816,1.0073101312292005,1.251953576705941,1.2632678738016963,0.9477767177679449,0.9879804343470878,0.7992299672349374,0.7541371923463498,0.7272395160408278,0.6128815699045821,0.643053371062985,0.5483258525219803,0.5261467743605646,0.5202990828938109,0.5765946492385586,0.5528218290016392,0.6065127702108891,0.833411902735769,0.8413556534876777,0.8661845126976944,0.9471641204217768,1.2602099161962412,1.2225081887923348,1.2405808960408509,1.530867906969234,1.6255604474780407,1.216491754075357,1.0723393004844552,0.7531721927129843,0.6353410315888489,1.0956244798213977,1.220240507625454,1.5285030817048229,1.7454245286659855,1.076988319600827,0.7568448462854535,0.5563965977502712,0.4676967441900295,0.5465380562992813,0.4840800108418289,0.617929921777829,1.4231010674105653,0.5399603950025647,0.6895993972641578,0.7464330485500034,0.8777475920526514,0.7727890931858473,0.9643081351280555,1.7567427838652476,2.3270980307585756,2.7708107123045163,3.680930190250211],[0.926306831898189,0.6791946098570805,0.5276902435308718,0.5425604203864852,0.4981992861515025,0.4342021827862406,0.31898903705525233,0.37199935172277576,0.39194628640998386,0.3228806029815185,0.3493892566959132,0.40153106118072185,0.34311102331132765,0.3608968120974579,0.42962664816319035,0.37431603112531686,0.4619953906533949,0.5161416146868076,0.6393120511932336,0.6183704126486292,0.6591669049318688,0.7651697767440296,0.8100008151006618,0.8313295441648131,0.7454628480052523,0.6921809802842617,0.628423637055686,0.5167198480653099,0.47920292469695164,0.43063438863142683,0.45481539942780513,0.4089905881019841,0.4563445086740017,0.4802236409255562,0.404231812012523,0.45910928938159884,0.42113953389936765,0.5243005136249,0.5497637952086024,0.5549694450620142,0.7272672582643543,0.6998848097801693,0.6968308865267958,0.6922606002199895,1.0106286778247933,1.2593961957173947,1.2186969435746136,0.8022127650086033,1.1336364535175292,1.4662095146696128,0.887866550208169,1.1799110299219284,1.0656735689932244,0.8562853408777366,1.357811556317681,0.8879021482345839,0.8511510746806047,0.9901031004019032,0.8224862562871937,1.5016595981789735,0.8990230334560039,0.6595246601087608,0.5965480896420984,0.8975872352900582,0.7525071244376339,0.603926069218721,0.8414036321650561,0.6646965267889978,0.8032544681218696,0.7201303884601842,0.8620541116794312,1.0852810667655894,0.8759928173270184,1.0151497607804343,0.6535507840673366,1.117309872251419,0.5945177051721062,0.5406466372630524,0.5182953831706829,0.5539205989873103,0.5118820678052443,0.6505282796512498,1.1054651734377499,0.4905743615961065,0.6293119475770335,0.4901372567303721,0.5246700932659422,0.5672077915881658,0.5038585718342407,0.5145586018808702,0.54211960323967,0.7563186243495735,0.5765650732447285,0.48886849065710314,0.47548968398251623,0.5438220266846086,0.5464172292409022,0.4554222801881979,0.4427300542959128,0.6492986945475612,0.44124289886784274,0.565595500873424,0.41503802699815406,0.44715134784191574,0.4668411471521278,0.5036204727716039,0.6373546386545073,0.5032625974586201,0.48916072168040187,0.7753972749314559,0.4526746062873761,0.3826203052363442,0.32422038419212995,0.4089500115886674,0.38874274255637015,0.4391966998111694,0.5012001409144408,0.5601321838678189,0.705181296511334,0.5830928164279389,0.5980302919080179,0.5016496811386344,0.5002523497176692,0.3960024313693422,0.3752181224432896,0.43751603188374666,0.3742699297091086,0.3921713063323874,0.4052708200839265,0.4451121574139197,0.5437040249745865,0.5434369691997434,0.4994064765801865,0.4802185293881404,0.5184765497048724,0.5739525730022524,0.7274952666943884,0.552769577750884,0.49262778136203905,0.5180143892990251,0.7470207545674438,0.8011755333125932,0.6325539627957418,0.5065165493462155,0.5262033249544686,0.5067764864431702,0.4508201222002611,0.42638036611033986,0.35316821257423403,0.399645172902646,0.47051680357223613,0.5514533910051365,0.8109513142031953,1.7197563641416467,1.2200616107306417,0.5836030765098722,0.4025520892850619,0.4388578957583122,0.38844620704839694,0.4042366318364528,0.40397501851130896,0.46973934273545087,0.4767128872235519,0.5332730850710153,0.543945452617696,0.680958238198135,0.6812698905773776,0.94333036427604,0.9462298479792982,0.9095247388849137,0.6516243126087969,0.5287250771180146,0.4909690159254244,0.4498407504853232,0.39927876431844517,0.4011381546624818,0.43923889157285134,0.5603555205213646,0.43015613751920073,0.4494103742313888,0.4678074817568238,0.4131252789724925,0.4775953627125476,0.5484992506757086,0.5547292949974079,0.5608669847114841,0.5721128714740368,0.776322956791371,1.2550742196512228,2.2324276101750136,2.5708527375640444,1.0713177888910794,0.9856889499679727,1.2821826163328587,0.790396346506079,0.6682941040011949,0.671513986922663,0.6982273710021438,0.6712955672110161,0.7512805635015223,0.5446867427658194,0.5865785866020132,0.5621982842344264,0.5465626844814159,0.5458748239494216,0.6668265844425278,0.5699369246903704,0.5730464819772553,0.8228471875829219,0.8023379939268538,0.760754467090832,0.8970862206248097,1.094296602737309,0.9833046738863616,1.0467092253954653,0.9538295695386935,1.0371064035241,0.8711706126574297,0.6986927042938372,0.7367183087524939,0.7555311540960342,1.6281225043829521,0.9736112040834252,1.2502830252451758,0.7656249889541702,0.6990801901116162,0.7537478149904658,0.6719646696880606,0.7323307075180706,0.6173087579921733,0.7193936869227923,0.7708733842850577,0.9134865265764072,0.7202819854904303,0.9888055310730088,1.063496489672951,1.0550708948927872,1.1450229615156888,0.7190300339085065,0.6626094808793324,0.6064533832311982,0.7005414889337067,0.8844979930546755,0.9876198930750727,1.1006369186803484,0.8713102436745119,0.9000142717107218,1.1487691434728995,1.016634113889914,0.9092007266212341,1.2054911726469042,1.3865395542008274,1.1386958943892163,1.1068363620080417,1.3638240153962686,1.4384280676828425,1.090194734274525,1.1064080654761055,0.916106354196239,0.8341072701987006,0.792876145183526,0.6610322877298379,0.7250649113031024,0.6362299014841566,0.604276936853436,0.6253770324139454,0.6739375206432853,0.6485589850035948,0.7334942406111763,0.9417042846393809,0.9178532632417633,0.9912895157567867,1.0797173483687352,1.3657921409739564,1.3222824081975215,1.3005004993675786,1.602177863007115,1.64646272790252,1.2664941933268883,1.0865585077924658,0.7994018495431869,0.6962252088216728,1.0422925229795243,1.2380118574489998,1.5981410687156692,1.8332524905033027,1.1337454065648052,0.7802070153381905,0.6487173461198088,0.5359611858482134,0.6684451065150004,0.5831425479107415,0.717362936303944,1.378174968503824,0.6524655282686664,0.8381671544281888,0.8275938570225885,1.0092837529320238,0.8586707168191461,0.9929208571656013,1.496708346063709,2.0668181429880303,2.3797929726801392,3.0388190309943726],[0.9784074570926498,0.6720385804653063,0.48843097238923394,0.3825778320446662,0.4227062011197329,0.45226742563964056,0.3253138428094165,0.4341307089360336,0.42167450113884497,0.2996249392419733,0.32734604922671723,0.4128471031475704,0.3390606093560717,0.2931357186844861,0.38134073185948225,0.3368834286172101,0.3686574534398764,0.3897044532077014,0.48645805611598725,0.4696253110989061,0.49814815832562587,0.6329400915300958,0.6921981376540675,0.6992339800391533,0.6036209697419559,0.5359902352360507,0.4674366978064037,0.3760709665066798,0.3614822193709006,0.3454825095592271,0.3931344761599607,0.4065937529731869,0.47519956634037985,0.4536228533882673,0.3619013693286667,0.3629393282663324,0.3661108882953172,0.3725609513962307,0.3850769426657749,0.3829813741613352,0.5696683834367849,0.539369780113311,0.5199535242632884,0.5180938147135763,0.8904718530498146,1.1665342516963144,1.084402106390882,0.6114653287396525,0.9903483392151217,1.4191599574326068,0.757685267419971,1.0986603243524973,0.8429439379382513,0.759192473320127,1.3658694887095255,0.7654789253666963,0.782653851605143,0.8555875448908722,0.714935010436501,1.3565246985015722,0.7716966991493257,0.5526626412781871,0.4856510774148498,0.7539723585557495,0.6038309797632224,0.46987534825439503,0.7292875522896453,0.5560407715967284,0.6831917618597012,0.6373251084233496,0.8090310534024966,1.0622620810040977,0.8221083783900249,0.9075806866789816,0.5727290399292431,1.0607102767456056,0.4853251948842224,0.44024953431474617,0.4113107423938812,0.45153790225577095,0.45349667968852414,0.5237507184518638,1.1427450834131192,0.41834338253272807,0.487338060089179,0.38010326651986137,0.37439212602952204,0.5117136830707878,0.38151041271926245,0.45002310918779237,0.45327649918611795,0.6956950117156521,0.5130834816482868,0.4402307086028693,0.4270688852635224,0.5011898930064734,0.5007160867773202,0.46007475773996126,0.4879357683403599,0.7115819025031743,0.5030904360682266,0.6775190759759842,0.46857129609083875,0.5574337455974877,0.5699704299089527,0.6027612683143997,0.7943740013599491,0.5396833374581478,0.5617658680457945,0.8441470592379698,0.532315689561505,0.39218539944190367,0.31482613856257047,0.3479648793783797,0.30908642134742453,0.32785971585499024,0.40708424116689956,0.3926549483977224,0.5464967523094983,0.46013089472489305,0.45923291276004696,0.39135330791239514,0.3662125629635567,0.29344747710546804,0.30785600850302003,0.3683498235727316,0.3835027666380589,0.36223273735690315,0.3964093294266949,0.4570193890462341,0.4785096164383916,0.5361516140941163,0.4234389306571121,0.49184356744670643,0.42438997613736995,0.49477398709183695,0.7230893138049072,0.4162348215024117,0.35268287950124255,0.34841798348999437,0.5885606824757901,0.6048966872132072,0.4623136989434607,0.3478941726540065,0.36456538263700616,0.38913834091159344,0.33462229103681845,0.35819163987246905,0.32716579986017535,0.4137918344902358,0.5442083747929314,0.6057606808341186,0.906725331178375,1.6898545485659346,1.1750006432216182,0.6471663655686947,0.476879941869523,0.5291945836849064,0.4293899972441368,0.4682135146077515,0.3735756789705566,0.3806257881994375,0.34245655176956236,0.38697378472092586,0.3967852474591957,0.5742155191942875,0.5572372708645827,0.8144669065236094,0.855513061298528,0.816997501357248,0.552074399742141,0.3833803518771395,0.35792724382246777,0.35500012014537663,0.33378160835660753,0.4251611296698371,0.43551141068271165,0.6305159101302427,0.377140522774766,0.4412172427220517,0.4070020622609829,0.4234865220537015,0.43774754126804133,0.4531642149340935,0.4528747349134292,0.4422672818785046,0.4305519377395457,0.542563157010386,1.3283012665743756,2.1099986196589673,2.5292345666250293,0.9279662680169222,0.8868461021554647,1.1600552773431674,0.6767972958827969,0.5635296889755417,0.5955290492411661,0.5803673850340777,0.5786233461341871,0.6794762414916348,0.536535961237338,0.6531337166989244,0.5956126376265987,0.5354680194214013,0.6055856178724425,0.7335667810079628,0.5530165050276404,0.5726098688345873,0.8979239524553031,0.8157219014741941,0.7426229419901555,0.9132295488429792,1.1380778122766766,0.9343426629785926,0.9778827411471127,0.8583503487586558,1.0141021139673938,0.8225915429138808,0.6658978899176745,0.7196088546473943,0.7379425067426681,1.6693380981500403,0.9584586961902999,1.2900397377987356,0.7743100247802723,0.7457138227242994,0.8323550868008696,0.7231214041053996,0.7492489422826875,0.6070776790227868,0.7554989521318094,0.6898885457538063,0.8527304739397868,0.666498554164259,0.8897802871033592,0.924049613944331,0.9314330336309491,0.992010499233563,0.6370899421275315,0.6020183818158898,0.6140871339825963,0.7594109097148586,0.9789666098491236,1.1158999350393395,1.201802784095638,0.9834385101381793,1.0328618102813152,1.2835611172832835,1.1476119035962793,1.0314375393990463,1.3536848195416342,1.5367251696756952,1.2579399217436367,1.2319657318782684,1.5016255422494758,1.5570914353430223,1.1770872756766402,1.2064003809389046,0.9939655430022465,0.9448597894727291,0.9044157074263831,0.7575599528593688,0.7939312018356194,0.6773417464231614,0.6270711567672096,0.6147112274113561,0.6494212417794266,0.596454443215202,0.6673636036488917,0.8772499972906231,0.8468873765667588,0.8841176945813597,0.9653028232696089,1.2716417785666332,1.2270270047302074,1.237227294212069,1.489277717045792,1.5817012055031767,1.252244559129011,1.1012664366494713,0.7585959540290277,0.6426502255938322,1.136604893465113,1.3268430893494167,1.637734038024867,1.8110352335117326,1.0473106978401099,0.742613392449079,0.5977463885934254,0.5256689977020282,0.6872610201236502,0.6666219162842839,0.8088181078421899,1.4970059833927545,0.7152029850564409,0.8736213109424404,0.8985337755208,1.1008374707564244,0.8445787394170269,0.9856255086942128,1.3980666057096296,1.8175113646589938,2.2760211632370733,2.6663952739905588],[1.1138846741992736,0.6795651253942485,0.5157542945535597,0.37502426153561436,0.4077642626976395,0.41093247319714743,0.28487214391128374,0.42040432000094347,0.37549583120401175,0.32079558191188046,0.35153264324460626,0.4279624003302449,0.3476774341088402,0.325726444357897,0.44579067750471574,0.37889358878163865,0.4163867871318804,0.47589413120997354,0.5594167852409767,0.5457114288858012,0.5697583370582293,0.6748806988548294,0.7036175031657318,0.7089515151767267,0.6243564313033173,0.5857632770631839,0.5008587557778978,0.42891233969431203,0.4220020482116567,0.39909892710256223,0.4619407209685419,0.44632598077046337,0.5319862251115186,0.5010155121944883,0.41657250204350776,0.41839127617360905,0.4062535006933071,0.43306446319233777,0.43086894012665505,0.43586679034744247,0.5705212081807158,0.5695879805266563,0.5576038853450619,0.5472228291472896,0.8682446234218356,1.133684580936457,1.0228779830752246,0.6367420584579606,1.0263210499005533,1.4244782664528297,0.7634802821930475,1.0753984021733953,0.846965209571314,0.8204123790084635,1.436298808708482,0.7362369111017094,0.7876968827634074,0.8644369087024087,0.750712776159506,1.3068903923889468,0.806616667730907,0.6173187970212604,0.5748576116802219,0.8493092498440075,0.6606277634392865,0.5352819459509275,0.8035591715201996,0.6497344192083687,0.7766741193829972,0.7130741607964287,0.9090813706431015,1.1448730777802725,0.9167160581725442,1.0073437178919638,0.6433716387429694,1.109095464825556,0.5694178992934683,0.5183930850227572,0.4769277885702208,0.49190858207218385,0.5090911331037709,0.5649490770952283,1.1664233722242416,0.5019637477863927,0.5215226915163415,0.45090879631776454,0.4482299285628068,0.5292386545905893,0.43485145840021855,0.508015382859166,0.5242322741917749,0.7423995051062472,0.5751790553802709,0.5111784697552257,0.49117054755912537,0.5595903680093409,0.5335881372635287,0.4944665993800027,0.5052370898087489,0.7792143605687739,0.528900174064118,0.6866282605817979,0.47207669147241327,0.5714381873654347,0.5542755109108304,0.5913033379338068,0.8115992276001971,0.49961654890309365,0.521747276767424,0.8490966446091932,0.48875932130573446,0.3562570210821959,0.2995044680090205,0.3454163154847785,0.340176587228621,0.3639004152152803,0.44653133571656445,0.44010731455752516,0.5889134629275605,0.5398743411656879,0.5262220312535555,0.4505293282072284,0.3920235552014638,0.31547459032851866,0.2982405294672951,0.35896835313251296,0.4027506435461313,0.3527703372625954,0.36749457399238605,0.4445635176941598,0.4251141615402855,0.5007387109240907,0.40423246497262905,0.5021548998124562,0.420284375102503,0.49904794627835464,0.7316425688679995,0.39739615576407694,0.38877381908648206,0.3760685136386856,0.6148060073250331,0.6175742284839185,0.49493453162889334,0.3739579408928568,0.3955216525648227,0.4310943559412283,0.3585438823503495,0.40418689980994393,0.35227550509236744,0.4110733081040748,0.5288513051211936,0.6055472978210277,0.997373289653569,1.852202660500626,1.2584360543660595,0.7151210963315113,0.4881548890440719,0.5462491341786235,0.4439732884431936,0.490350075427691,0.3853279686117836,0.40215574431614903,0.36648896758919397,0.40283759351443454,0.39904348434809955,0.581600150868144,0.547391997059614,0.7687459746195029,0.8142294603063024,0.8026770950520786,0.5403278593358473,0.3829835538575246,0.37747389943929077,0.3809139892085035,0.36101802027053115,0.4329870196392817,0.4561163143654478,0.6692342330816512,0.4222178239119821,0.47070508052724086,0.4524909517608439,0.4393017672190663,0.4431251467653474,0.44571603316390535,0.46504919418710366,0.472575406839944,0.47338790704269657,0.548292250359562,1.3353243394446348,2.0700609074701375,2.5428630492883126,0.9128253886391199,0.8494091198429495,1.0959305785262046,0.6381841983874997,0.5140746231594173,0.5756904375452807,0.46386168024314867,0.48628335328977146,0.5906770072122892,0.49648631145162825,0.6581903590113571,0.5349022772337976,0.478347247894037,0.6008915420759114,0.6906425448525574,0.5721245315475628,0.5464914370425408,0.8951037964826507,0.7240468633080612,0.6556245045847262,0.8394406496180289,1.0376374715990713,0.8150775209191392,0.8504712367736126,0.7604908115348905,0.9500500564783924,0.8073615756338712,0.6353520915490491,0.6876821140338597,0.7696303589296952,1.7473307227524864,0.8899148866772475,1.3645409521824698,0.801777424659217,0.8053699796523832,0.925667694122164,0.8082465054182133,0.7280132795298597,0.5915709116252099,0.7972472484879186,0.6224006255260223,0.7712521121739039,0.6002783976166742,0.8542201927339707,0.7765534169172711,0.8302770606313169,0.8707444936030172,0.5368696776291109,0.5600181309045468,0.6213030656628099,0.842772568634163,1.0884413975608003,1.292465489367907,1.3406397400721433,1.0889773522345283,1.1552758857368333,1.4540313103608264,1.2679691269017872,1.1037341755155656,1.4695008388924322,1.6374517156184947,1.297017140256787,1.3082260250899767,1.6032664193952377,1.5868118054876301,1.2009981326342385,1.2724631153739718,1.0356915815358,1.0207360536102368,0.97467391114109,0.8414226331482909,0.8553212383960875,0.6915283890384206,0.6437650579460702,0.6155503763887253,0.6369125750255317,0.550183246298373,0.606756810939371,0.8335691819428042,0.793107843150077,0.7718220616791425,0.86983976468999,1.2001986381213485,1.1648407984666014,1.2121596445600054,1.4600608677292783,1.5978415122456555,1.289761475526363,1.167672760616925,0.7580912523148873,0.6490377023066938,1.2876733356452665,1.4002636600183145,1.6613742038811083,1.785186999970604,0.996183587847178,0.7178899139472542,0.5150690591698108,0.49353986187194593,0.6169659555416553,0.6048841213440753,0.7694501262091944,1.511393935336494,0.6274349059155545,0.776487863209641,0.8293235080587298,1.107377534286169,0.7729560304481131,0.9392461138671644,1.4904983069850617,1.954673658470702,2.549251160241503,3.090640117675135],[1.2050074378247306,0.7301217041211765,0.5978658898393343,0.32620023864638403,0.37949302475292424,0.482728292478252,0.36266984033662564,0.4487635532982713,0.38651730498405606,0.3574720847664494,0.3757417850280471,0.4744973034768916,0.38001690467397586,0.350379520028461,0.47737398743438925,0.4094223483147652,0.414078346912269,0.4450481116395716,0.4974189969633523,0.4901241350733403,0.5073640811900024,0.6488015457292837,0.6581015438583295,0.6538366203286411,0.594788853785473,0.5357365928113544,0.4668773175684245,0.4111062418799269,0.42338496667121267,0.4132868767214897,0.4512656559383979,0.47017008750068506,0.5168004436595576,0.4878107366718105,0.4383612163358624,0.4269194997108739,0.4468260426082052,0.4389386693985664,0.42665710875203217,0.41578645249684304,0.53835295627476,0.5538293787128723,0.5238457763136837,0.5299919006190446,0.8655117809902529,1.1317204485126762,0.9903121909262006,0.5876359182391165,0.9791493708035358,1.448839995344231,0.758853650473709,1.0776095070566982,0.8151306831320024,0.8268027085902456,1.5434234238234144,0.7916131319872307,0.8305617181712849,0.7955796765005315,0.7268537415830527,1.2149919421111277,0.6944613571095978,0.5742134375938128,0.5049022554135889,0.7288547950553445,0.5767069575935078,0.488966798363457,0.7342493462144112,0.5813690464997986,0.683317732741601,0.6517947827841307,0.8752820177799316,1.1124569511453293,0.877130192010416,0.9180068579129402,0.5892607333799806,1.040749296099927,0.5026059905911053,0.47681169530887835,0.46979075334668297,0.49602714779933066,0.5278021122964685,0.6090681799909298,1.1339423611145028,0.4953411356238836,0.5054318617457318,0.46686534968066834,0.4757355516427466,0.5828213576182041,0.42835243973229054,0.49376437352979397,0.4832282156314715,0.6923079069043465,0.5356933725717148,0.4833561169229912,0.47364085420258206,0.5334101419582407,0.5138376919955566,0.49937457845340205,0.5198207263237533,0.7869449992853076,0.5760560441440821,0.7415985574624762,0.5222070198336961,0.6322583884509939,0.6069433541930482,0.6450080114762438,0.9251381820495425,0.5880307539966444,0.6125236911563823,0.8942462742321914,0.5616087049139619,0.43177201190401515,0.3666686558235546,0.3857124717754045,0.37822380145216644,0.37997569002425674,0.4847422088772248,0.40652965876494895,0.5175553903022889,0.49131175586043,0.4786296363642088,0.42635747156754644,0.4026129126096012,0.3578881103837878,0.35775952340327116,0.4428692507121383,0.4945165056283858,0.41818040115851807,0.4476302434360006,0.5099064971010644,0.4528799440923261,0.5523203704192421,0.44779076638500315,0.5409813949201538,0.46607748548820693,0.5442087861281842,0.810321425845724,0.4159667625159782,0.4011635878548129,0.372731305906411,0.5567286363149001,0.5651473927206082,0.47541510167026424,0.37021304737389266,0.3917123484580203,0.4308957494920745,0.37881315299894514,0.42216235978238903,0.3904645172728069,0.45534468081444607,0.5602097257174246,0.6079211104988689,0.9873454682272594,1.6648644506482988,1.1102100069377399,0.7167204144097401,0.5366765552285245,0.602815882361532,0.48209633961220316,0.5442057353923079,0.427947614909044,0.4347591402047861,0.3871502001035149,0.40689281902615776,0.429042607253748,0.5910112276064426,0.5711022775603423,0.7920292268300188,0.8761950380984329,0.8375245241797334,0.5809130096471321,0.41415009318715434,0.4083875284670559,0.42366338888038935,0.39752390696769807,0.47341276156549983,0.48125447244436315,0.6962996027585739,0.4505134426800047,0.4885172632243071,0.4823841729639199,0.47215700297449886,0.4690162392492361,0.4938956909639444,0.5113169316278988,0.4957229012159866,0.4923211094156373,0.5149225290215099,1.5666567393833002,1.998105477205172,2.4997964353766577,0.8921398887619166,0.8687076073470686,1.0299468562213419,0.613276434424536,0.5470860681904607,0.6386353170207125,0.4638539025423744,0.47831513287509747,0.5922663869082281,0.5604747386063246,0.7546879085806067,0.6161798860664571,0.512404873953449,0.6842796910927214,0.7814641390613453,0.5601937677053294,0.5737265152208736,0.9847852335943095,0.7785129170895531,0.6664406964196004,0.8810096465058463,1.1193276664840106,0.8136937029711416,0.8330362209740414,0.7502897150064824,0.9712336591424401,0.8183455395501511,0.6438613397075454,0.712109570216013,0.8125477699068432,1.7879929825739345,0.9165469337809847,1.3716429307009579,0.8492716945047598,0.8774105370283843,1.0144031338300536,0.8914395512938996,0.7983601200368067,0.6614060801657041,0.8861791129442104,0.6478693721567975,0.7734259495553941,0.6429336055693458,0.8612090885321343,0.7554875454412577,0.7969440496787167,0.8126011927296616,0.5277053524164862,0.6091139272333311,0.70482441176122,0.9351557344730104,1.1865179900586689,1.3819257803487632,1.431780088938573,1.204800968335931,1.2645357712529646,1.5510055583480666,1.3868667145192222,1.2177312422734399,1.5830038167474028,1.7597762758407618,1.420281074880396,1.415705479192295,1.7150693567396784,1.721309080438272,1.2917660627467706,1.352843345158531,1.1070339773991593,1.1090270206544846,1.0757761404383561,0.9345583889942163,0.924886908884321,0.7570284334079328,0.7175017913260452,0.663488948017156,0.6648432176941039,0.5684312376785576,0.6248283136740687,0.833153270979388,0.774799014236579,0.7437831065150895,0.8432992379877523,1.1759961707034743,1.1425579786091806,1.201664792289439,1.428361159562155,1.603913296533189,1.3217640921244536,1.2515565406728983,0.7848339889543667,0.6864777974145927,1.456396304392742,1.4906694136354384,1.701509625326747,1.760535925644559,0.9411447251587245,0.6977942238873088,0.5216464085674234,0.5681700074160838,0.6602418082548491,0.6903750085799911,0.8748703552241313,1.490740325106047,0.697928559611709,0.861326553100716,0.9440340419922991,1.2376625273386832,0.806112941548623,0.942885243025332,1.2433152207522098,1.7061753549786118,2.2463492613371625,2.613450985010404],[1.3027978049711393,0.8068894253063084,0.6619452471604542,0.332518327765133,0.40580541093239303,0.5059820665117645,0.3899653899591514,0.4979255357987362,0.4247191514735703,0.38457629981661134,0.40655833962333454,0.5165821088093612,0.41526319982767357,0.3725554023972761,0.5126223520082558,0.4437000696853433,0.4510062876094556,0.4861995471076887,0.5496103331472999,0.5360884768597651,0.568785973498353,0.6995476685694979,0.7168641679119039,0.717101722705968,0.6314217750674554,0.5916220219122367,0.5083012920606311,0.43749155703289494,0.454185141621924,0.4452032977825891,0.4977588273106796,0.5043857380563884,0.5669069761837864,0.534565115663074,0.4836925909236086,0.4615129123058265,0.4806593578723419,0.46430687548322863,0.46008049658640243,0.4420777116054458,0.5789468530425215,0.5998348785338025,0.5748905645850317,0.5478734014344493,0.8765627853621171,1.1377082809675119,1.0128758561592057,0.6198284281214139,1.006921154904844,1.4633687826428492,0.774025301861386,1.077062693979155,0.8371862901077721,0.8517146047640572,1.5697144502619604,0.7965696185430565,0.8294283336628314,0.8176255055711191,0.7422616054842738,1.226609351523516,0.7198072955568972,0.5827545173303037,0.5419064147808875,0.7987782029348716,0.6296450756903144,0.5283435838595242,0.7831689252319736,0.6355984576922276,0.7422247142390377,0.695135187861004,0.903577490287965,1.142512378714744,0.9227890850356129,0.995799955885728,0.6307718371246834,1.0988356274508162,0.5564471500777978,0.5299618784250749,0.5131485829107886,0.5163040757889865,0.5625118964715602,0.6318418645198772,1.1432067114725892,0.5181945585250782,0.5354237909142368,0.4957090620269225,0.5024462326707737,0.6100734565532921,0.460499636662276,0.5363712503402157,0.5337234077623461,0.7368711471640751,0.5934419748897488,0.5457886434226858,0.5277513290010639,0.5870606418959016,0.566055568931202,0.5508497484367443,0.5759291104898069,0.8488162145320013,0.6162575045068399,0.7806369204256426,0.5608558767760335,0.6841399501686595,0.649681573956788,0.6863967306951244,0.964181819769997,0.6390138335940292,0.6605549083633372,0.9269617658009756,0.6046096348712706,0.45714523698618104,0.4004356110957422,0.403382151810824,0.3915765597468144,0.38219462357361733,0.48093586112071907,0.4148018686515539,0.5571744311659887,0.5143021186639738,0.4948675891098003,0.4406164689431494,0.395731413500994,0.3408133697266756,0.3512302787199328,0.4411748761737248,0.5187616847488217,0.4427171580731227,0.4823600927305001,0.5429649453941285,0.4837251570379196,0.5872173222678376,0.4719182368501956,0.5662531023444937,0.4847394044270338,0.5709992266543404,0.8215485257305962,0.41707008465408746,0.3930016763720512,0.377572434734481,0.5770553237522796,0.5829535812347558,0.484667086538109,0.3744912494218494,0.40860382057515476,0.4567710522806238,0.3946279358401697,0.4498657016933558,0.43244281765572146,0.4955699783340621,0.604075427676147,0.6590852302186556,1.0671723636403185,1.7727411005201494,1.1844426851349552,0.7864884263975933,0.5792811540868081,0.6461028759980911,0.524858512335527,0.58926169583969,0.4523909707628269,0.465093006141571,0.4042956373511874,0.43551103543251973,0.43347988555515654,0.595154674982003,0.5820419400968744,0.8113876629392788,0.8810575110800244,0.8426287484601824,0.5879065981860961,0.4104171429205812,0.4107005468487311,0.4508505900915698,0.43468614070933087,0.5094093732006224,0.5106003538027722,0.7334926678913836,0.4805537074497192,0.5252763225753188,0.5069474791929508,0.5135455103305013,0.50065565346479,0.5094074962891606,0.521513925816011,0.4952352555058609,0.4918008543325791,0.520941639335596,1.5148391049964414,2.0455669248915656,2.5483908382493414,0.8866364178379752,0.8888045320894534,1.053104836212487,0.6300557443008253,0.5781116250708105,0.6653301199102876,0.4989121312837828,0.5149169975788855,0.6216646326986376,0.6311972135557556,0.8356982967883008,0.6786683300894079,0.5847461027757265,0.7840128358416244,0.8715011923833353,0.6169217762619404,0.6715256420743786,1.1049254851936712,0.8769039144545732,0.7661716092698065,1.013794912673224,1.2441494642065618,0.9001565389137791,0.9394878483445551,0.8219272200858068,1.0720207265502455,0.8922115521045414,0.7223063794410062,0.8327399517211501,0.9368094595958879,1.815238560882633,1.0168591253803483,1.4298756735722238,0.9545704723682359,0.9987126791463343,1.1266864294682595,0.9956429734862523,0.9141601085723818,0.7588277414315276,0.9650320075365525,0.7182765032867028,0.8234277681961502,0.7018573478648705,0.8878738279244883,0.8124958000447946,0.8418873282601292,0.8389275093138727,0.5778936440580811,0.6634625205784407,0.7698304020478758,1.0157148507926137,1.2770886297510904,1.5013305615149861,1.542698380991688,1.3005251558056983,1.3982656360112007,1.6933444869637733,1.5060673541829472,1.3377876140952494,1.7423079058582422,1.9154567796369069,1.5540535970513467,1.581250126403624,1.9092709972443562,1.8903618504160293,1.4572377945521413,1.5418583360252056,1.2635851131250355,1.2699507139065402,1.2113388908991203,1.0700320913692867,1.0720190249347017,0.8777362147701318,0.8239504038372117,0.7767706311560636,0.7637378295139151,0.6533009235298987,0.7170162223398412,0.8997142577069338,0.8203790531938839,0.8039356401372706,0.9025611912409424,1.2370686915290332,1.1860251144062004,1.2322300969455207,1.4842732282208697,1.6407656426372257,1.407293657110499,1.287490824484005,0.8194709426482965,0.7064950330485563,1.4394306085708417,1.5049193164431796,1.742442942963744,1.781302195505968,0.9517910199279634,0.7025967904190297,0.5537565273931707,0.5993867735664207,0.7194743713092905,0.7570657512269213,0.9614188359306208,1.5677658681516222,0.759111759068074,0.9283755836028873,1.0366940757470398,1.3099234737280032,0.8492934243673318,0.9959689116742019,1.2766996639845494,1.6311809119670093,2.4628444152513187,2.8981405809948115],[1.3181701934246273,0.9022027377242455,0.785298956940631,0.3744665615121981,0.4441210767700621,0.533807162010395,0.42405974607907954,0.5008726128215393,0.4348507358865608,0.39653727306900904,0.4176605107664552,0.5164178064090242,0.4268546211906643,0.40169701523059753,0.49411161761792927,0.4289021996468728,0.45497292645397125,0.4708502186492801,0.5260776212790615,0.497634917191265,0.509682149444904,0.6341563753880055,0.6673472138139044,0.6766830350632586,0.5967763286594583,0.5269979974095169,0.4661039818496476,0.4249098511094182,0.43503404114388206,0.4373761835978742,0.47435981074661165,0.5031271542228374,0.5534058487376553,0.5115135296842277,0.4566172560729454,0.45150423341521895,0.46843145042333584,0.45231335395116457,0.43370078236951737,0.4312368005172003,0.5542756567713703,0.5460209444128029,0.5125799134562087,0.5557510989602573,0.9148494844498496,1.1966811908836668,1.0637601473611678,0.6055935325001682,0.9937574709913487,1.481939238557757,0.8012863978682871,1.117943859553102,0.83378980367046,0.8184085590771052,1.5231366214650843,0.8202494003262705,0.8579521874297705,0.813770941379948,0.749288616181919,1.2720535724985702,0.7645859517552572,0.6093959848549517,0.527613623059424,0.747639578321899,0.5767002235995906,0.5034458866069219,0.743279013862886,0.6043343368154561,0.7221650143081725,0.6811531494745221,0.8987373077223215,1.1419960933784703,0.9032348692750973,0.9546896463253861,0.6114056191650004,1.0383430393040967,0.5149704958051586,0.5094574870051698,0.483262797924924,0.5248568482325489,0.5371805008116596,0.5979852886938586,1.1404143869447994,0.518210477061958,0.5150994625743237,0.4784925988529791,0.4645466690384424,0.5917172709490685,0.4420778847715638,0.5082427325858025,0.5150553480069672,0.7032154054818582,0.5685257195171506,0.5167955360668021,0.49906432837076325,0.5897818473004871,0.5603970887887968,0.5464478456971736,0.568891543336403,0.7994063164072862,0.6046997247336858,0.7625085241931264,0.5656249318647933,0.6987293148262731,0.6881276016268306,0.7225208038567816,1.0123442577157695,0.7075463199352628,0.729148443850069,0.9414103270424379,0.6653286118342499,0.515816632673324,0.42051953947511084,0.42919246092905877,0.41444837648270016,0.4040282183880791,0.5006156609039192,0.435629142964109,0.5606139427119456,0.5282457253564861,0.5266999936772673,0.46455545914620255,0.4465278866718659,0.3917634578243802,0.3880789370491151,0.46751558300879925,0.5402117014645841,0.4873467949031123,0.5527051277983103,0.5933793641075512,0.5546389614808431,0.6560675627553345,0.5335142264139865,0.6142843412812546,0.5421433108664727,0.5817197378621434,0.8470039029163623,0.4739798798240365,0.4484225324018144,0.40040294524053677,0.5659349589124533,0.5782710222531335,0.4861732989320606,0.3959935904986029,0.4124685935008253,0.44804987292340887,0.4024938930891281,0.4396813810859625,0.42893750147160764,0.4917548687872168,0.6083856073858167,0.6306451634417028,1.02130067902492,1.5779616875108347,1.0666509844756273,0.7398526975296614,0.5655544750535628,0.6447009671796133,0.5345944788756481,0.5936163309163781,0.465261823956948,0.4593029025119156,0.40497434278523176,0.4208998285033462,0.44751629894029604,0.6309618178761778,0.607332734735492,0.8527611819727786,0.9398909876947372,0.8670929484790283,0.6183510318629851,0.4554484923595512,0.44788737091927366,0.46585782840488105,0.43651965730272724,0.5289021448517739,0.5385093400782416,0.7488850028256563,0.48981801090644567,0.5474138095388567,0.53333080210487,0.5451898678481298,0.5615847059034387,0.5682422272963678,0.566470950196575,0.5137218653421431,0.4996767476227959,0.5212719396104346,1.6323270412306976,2.0061346726550178,2.4528495454828034,0.914681442641845,0.9261659458568177,1.0197284214562712,0.6371391278891191,0.6525354584286873,0.7074229869886429,0.5658509020636604,0.5801202395259478,0.6807833412652761,0.7367943741193297,0.9403100653189043,0.7843514104576226,0.6884138552389795,0.9129234616807566,1.0136556413970492,0.676039910985569,0.7957051105900518,1.2776298470041363,1.055506050970099,0.9102692293545198,1.2205303598756194,1.5071125474062388,1.0352556872778418,1.091455090842772,0.8892743597009587,1.1974098094630903,0.9253802930064156,0.8038795932501696,0.9598012762270652,1.053098230886588,1.7884734693069242,1.1260281529182194,1.4825436838721122,1.048727643227464,1.0901041535390592,1.2183838873403647,1.0752486773567989,1.0339266510181513,0.8800463151754392,1.04776942302379,0.8369484451479091,0.9381722178776387,0.8142712478385284,0.9139644982846133,0.8973486787624226,0.8855153514933104,0.8448094978916988,0.6451013163109797,0.7174641660394,0.8417717474348166,1.0910601155093096,1.333493266899101,1.581350621256948,1.5773464739530985,1.3727986541686883,1.4971000848456215,1.7468817438272375,1.5683875065927992,1.456344554412976,1.8604433439817127,2.0350835966673597,1.7123691238880654,1.7487100190446894,2.0872936653066367,2.122258143540934,1.6757986689921103,1.7406702064298822,1.4402471661007374,1.4264099922059488,1.3512775369072714,1.2046197279633755,1.220409353118212,1.0208156401921171,0.9469589238278154,0.9039498863351517,0.8786571147662178,0.7471575819379487,0.8201555215022808,0.9690515328878019,0.8529002796796069,0.8401826075577634,0.9348989859511384,1.2443392660560324,1.1779189224375268,1.2220581697542927,1.4686340459467147,1.6320452451194227,1.464302815947874,1.2998310705933953,0.8288765932148742,0.7441081329654623,1.4659988796001895,1.5193170501631557,1.7490154624347583,1.7428791811316695,0.9270051907727029,0.7279166326496865,0.622373912710268,0.667632100654516,0.8133252580151994,0.8432446342517691,1.0791677365092918,1.553416048663406,0.8413960254923837,1.0678610503796224,1.2300461153908366,1.3614519263573275,0.9437748886715226,1.2208739989406645,1.1938130778239657,1.4906774127237141,2.499207494334354,2.921324848749874],[1.2436953967143631,0.8846493140653467,0.9540569082874145,0.6639394746981764,0.6785345912265308,0.6294318884384771,0.5478687584728602,0.6017135868974877,0.49052490767328377,0.45559551217706956,0.4659453426501804,0.5621360919942398,0.499075868147509,0.44305583989790315,0.5506880186243578,0.5182603676315689,0.5124582253775608,0.5366252295078352,0.5785654929274584,0.6033253239976492,0.5952066996412387,0.7042977956035967,0.7663649560454225,0.7545946075756873,0.7142130945917761,0.6289824337872748,0.5853333123010588,0.5749486945478969,0.5797160503731745,0.5608607559020715,0.5165288565674742,0.5898881656249945,0.6223739695596192,0.5995006046929412,0.5620931272500664,0.5447163542277692,0.6018819116675349,0.587509598584085,0.5962458372390981,0.606329411970145,0.6985657715096156,0.6464116625809891,0.6131220381940748,0.7139979688853745,1.0573667279534362,1.3023891234346425,1.1375934988762217,0.6972370933016763,0.970432900894741,1.473028533088732,0.9301357653325273,1.2716738148680289,1.0013553542695803,1.041506987531432,1.6881308537074975,0.97177852657783,0.9770424947545243,0.8833522422146168,0.8571411026082578,1.229389329297667,0.7711256082850585,0.6836729234042883,0.566903748765133,0.7388489427162602,0.6804447728677957,0.6048807460574507,0.776689374617179,0.6613932680771495,0.7588478164889937,0.7204867690513792,0.9428038737532815,1.1288338799946553,0.9128969757590613,0.9266908661625333,0.6401969028388194,1.0171110285678988,0.5847731787834359,0.5639661684167431,0.5761529547676981,0.6335102264878332,0.6926183350614294,0.8247293870156484,1.2602264287791962,0.6929058794970829,0.6738228911878923,0.6474376784060881,0.6152825215939842,0.7334923648023866,0.5553064586756591,0.5788038700049773,0.5823325205285954,0.715740228522099,0.583795640987974,0.5719158732264191,0.5491179780862143,0.5928126148481176,0.5676372265271361,0.5919972784320214,0.6124788425263007,0.8474004936725564,0.6869471919682876,0.8431840963438861,0.6862273903491689,0.8104417148501789,0.8311785278635377,0.8725757360510784,1.1825488729699558,0.8604180444947822,0.8728190308850508,1.0691282441310759,0.8188773152502958,0.6787890069350841,0.5687085996571603,0.5795927201039264,0.5251331453943462,0.5508442133345742,0.6438113177790665,0.5734392102741346,0.6315346797199375,0.5450204990692415,0.5584925804800186,0.527901367796809,0.5491473551406666,0.525326844448506,0.5298537769844219,0.6541288426081739,0.7206464426073035,0.641495593151814,0.7362461179896173,0.7683027847364091,0.7644235559684261,0.8892275394199769,0.7558251448887671,0.791080370620831,0.700958831615011,0.699932103503084,0.894684081057774,0.6651338409309674,0.6107994922890039,0.5616447266532418,0.6427894074411601,0.6715792351458518,0.5882670103723117,0.5561013140311086,0.5675768099796311,0.5747494538133773,0.5546478576104019,0.5677774394883487,0.5832302576056495,0.6129222719603303,0.7228294094107116,0.6935016363391356,1.0485207761233104,1.4596970046836155,1.0285233453375167,0.7944678515191443,0.6603724216901596,0.7501637146339626,0.6333938328933391,0.7446433577652677,0.6189111861950696,0.6096601248912957,0.5711542120490918,0.5876686565879844,0.6368914199361843,0.718497192657971,0.6990138712345764,0.9012405037093912,0.990687802442365,0.8985739204669878,0.7177127762826221,0.6119214490507656,0.6356540332691091,0.6332858169841941,0.6240368070805885,0.7011956565974165,0.7046433423000473,0.9199666077045038,0.676522113213813,0.7178767364281845,0.7039859856443776,0.7153601983310546,0.746207707962305,0.7650006119718041,0.7377789425283019,0.7038183340763141,0.713418044841843,0.7012871968763084,1.7456152336067992,1.8710486079510316,2.2772988963845675,0.9546835458621278,0.9354339931580664,1.1226910687495593,0.8554859407952173,0.8226740694581854,0.8478368860035133,0.7782876332824405,0.80236383587652,0.875782940160244,0.8703401032976104,1.0276928566754708,0.9046509221510468,0.8349051753060069,0.9854524677406151,1.0705591395914835,0.7897129996475298,0.867939748790741,1.2838987042379963,1.0738224015094673,0.9149225795922132,1.1689049531494935,1.5073335308170788,0.985862692319617,0.9846444215247757,0.8942892774797875,1.11273302801435,1.0190883800283457,0.8899292621254107,0.9332806259726266,1.0060039884896899,1.8112918025416087,1.111334763397031,1.5276808200764131,1.109242315038896,1.1438068106435082,1.263751518284495,1.1312551244094455,1.1096213800874266,0.9636372610516772,1.127161883728351,0.9374618750552162,1.0270801188322018,0.9252605901565389,1.0104057138960854,1.0330339110173752,1.041074446926591,0.9754076054746014,0.8507730905103821,0.8705763477163897,0.9621443054195802,1.1526485184759812,1.3856177352057941,1.626088788418833,1.6176178828925474,1.4451229651829651,1.518030701031107,1.751871800369004,1.6039273560427922,1.4850307318599865,1.8738105919464545,2.0547777350387157,1.7381934884359531,1.7505092303849392,2.0858441331113844,2.1565186139308516,1.662464291911366,1.7047741792281974,1.4111913421494326,1.406397765569303,1.3476056742212832,1.2088911888058873,1.1987586717575454,1.0309084007496847,0.9873695046901533,0.9300950893839828,0.9150035159147849,0.85633522878155,0.8971531045535489,1.0217887996391277,0.9990425035870873,0.9902454453095882,1.1123621673844128,1.391591228875542,1.3678196300332095,1.4357176464982495,1.6693113991396367,1.8568588660523364,1.589404832139922,1.6337883328356138,1.0596199677494924,0.9989372408992518,1.946812374358579,1.8544339874265408,2.017600943534704,1.9314645618103117,1.1122216599062427,0.9561047941315612,0.8311750725343103,0.8116096796561174,0.9135944427883363,0.9456224336274746,1.1525979134196405,1.5251323899733518,0.9448400470333661,1.1273202525757895,1.3210475156649086,1.3981375038501207,1.0037850218174735,1.3716662037576215,1.2466368557438812,1.4663717545196617,2.509738042861136,2.9350764271010736],[1.1212538519309858,1.0446427502706324,0.9771702380307697,0.4877493211723932,0.5809909274543978,0.6589035020381704,0.567293118620205,0.6043177012108796,0.5099134894850668,0.4626349599102174,0.45971918321230626,0.5700164388528756,0.4971877176872234,0.44706530951507095,0.5290804334075996,0.48220820478069176,0.4983327506344256,0.48510222190565655,0.5179833939668009,0.5310848974731605,0.5172663417989448,0.6701647047978005,0.7216302116309056,0.6951770022167001,0.6671667214711963,0.5589445473998778,0.528661751519803,0.48469388583592377,0.5004339918282675,0.509149510674725,0.5058708306900043,0.5694344561901424,0.5857344163919319,0.5616036214432506,0.5422351944466476,0.5160864667731975,0.5591646477811617,0.5448134333038589,0.522926050811465,0.5380167662926056,0.6375467263986937,0.6173724087811481,0.5858806532095102,0.6228233864058315,0.971569703060906,1.2505251009861014,1.1513086277944273,0.6962904659001179,1.0370471151422862,1.5828413480930457,0.9186108059510607,1.1925159843847917,0.8905592434013837,0.8867395223052217,1.5974125773015095,0.8591426159030173,0.886111264982153,0.8693553963802055,0.7762258715295163,1.255583034751617,0.6900854868802557,0.607401234948271,0.5264882703912038,0.6763869461614728,0.6258196855385619,0.5285395276800248,0.7019273048540721,0.5950498001046821,0.701407326897282,0.6806647763241682,0.8856096849483047,1.1050455215072454,0.870868584279632,0.9176691502737341,0.6131844043613557,1.0075570632692834,0.5263161043064641,0.5336459071884108,0.5589330080179953,0.5679083203838937,0.6136457233746365,0.7149427294900977,1.1647889087609382,0.653935269336772,0.6149895757830691,0.592576985216316,0.5709707841213478,0.6704876609473506,0.5095503647760669,0.5654043127636778,0.5400592921565045,0.704863949752551,0.5696174855580165,0.5334709159800699,0.5255095586911159,0.5626362637776035,0.5669535032301835,0.5550721080368572,0.5890318879979922,0.8504862820907253,0.6696857490365378,0.8427731044385262,0.6531561621463028,0.7870144613256543,0.823082520273495,0.8416581096441308,1.113372097883633,0.8653185542649231,0.881904437041623,1.04215200797319,0.817963159377464,0.6642113585203389,0.5612044811319389,0.5315393526376362,0.4894115730885125,0.46983715128469616,0.5724247001079585,0.4746812542074945,0.5614771549313087,0.5077845552014308,0.5166437762546877,0.47592213891973967,0.4900177721942816,0.4345468263876447,0.46301698214093434,0.569045862490689,0.6394117305701669,0.6349998612257135,0.7419168850378361,0.7551588443012529,0.7173982266611691,0.8044457758724028,0.6969609502948351,0.745647585819501,0.689513220199972,0.7347222958688918,0.9557538557821625,0.5795052124854644,0.5013137967883463,0.4913335867574695,0.5910453129088334,0.6219687840659627,0.5046422293007619,0.4806855962940275,0.504637047032944,0.5375722144265881,0.5186212634513123,0.532741473888887,0.5605905840958944,0.6103036759175194,0.7210226858264936,0.696603959541149,1.010517940001454,1.474682146483658,1.036406685431054,0.7847128796913707,0.6415241118393548,0.7406610854186674,0.6205149178877769,0.7161170770629044,0.6017771136227946,0.5907675364336713,0.5489414247370333,0.5567009025800774,0.5873841724485677,0.7242529289575544,0.7558254771206516,0.9931457977405216,1.0699434822803187,0.9864684746752503,0.7537726394852708,0.5716101477921638,0.567365504991595,0.6071094463450529,0.5981513337905109,0.6812808142187418,0.646283417613901,0.8450257319431932,0.646055584103591,0.6837457750732441,0.6731373746536382,0.6940538848820702,0.6987213203615307,0.741914696074978,0.7219513833284329,0.6571177103036174,0.6002122436718058,0.6161966920227948,1.8409664106947952,2.096771816229791,2.5011442054751223,1.0874484696552866,1.1056631434282926,1.1026732094707694,0.7575710306063435,0.8201000578062875,0.8507255497774265,0.728191501005754,0.7453797217012783,0.8282187065695826,0.9052679818215406,1.0918466468243981,0.9513798252528308,0.8747885345306651,1.094739007219569,1.2094013531627232,0.8784448644602637,1.0076407147151893,1.4850239206628162,1.3277425401804233,1.1720632884683027,1.513807514352731,1.844079080457153,1.3566673340180297,1.4181044798080467,1.0976534003844491,1.3843538328813618,1.0401017769921135,0.9652897104988304,1.14525640944601,1.2319775692106356,1.7754376212672398,1.262727636207974,1.498005458612664,1.1695158208096,1.1836771160096742,1.312094312657007,1.1591051016846898,1.1763428931541924,1.0325726676449833,1.1557289786813771,1.0142769209465867,1.1157164298374092,0.9770243066771771,0.983818667049017,1.0824664448239454,1.004227162965132,0.9650133476429874,0.8067040806346621,0.8617859796612051,0.9691040669524453,1.2040048379968697,1.404601281267918,1.6547417427741833,1.5980260396300585,1.4478392541844993,1.5884332601291586,1.767636905341125,1.6189303581159737,1.5709332784520738,1.9467193263506266,2.120015884379193,1.8699313353551588,1.889975249808631,2.216113971222599,2.3149822430775564,1.8951984876700565,1.9158165935881728,1.6249546831361437,1.5718906879781065,1.4863378067620931,1.335188293911668,1.3705927768636836,1.201292794445942,1.1137336306073495,1.072357352782579,1.0467068886999704,0.9346745922623592,1.011034603011072,1.1054857325550056,0.9777303586305497,0.9997521628445359,1.057942336420086,1.3404645177119883,1.2715376852416602,1.2875809986111084,1.5624827833455976,1.682958729052591,1.5514777979004284,1.3357454374049489,0.921338263914311,0.8724321509593178,1.4246652144209468,1.4901781193329755,1.7550909005142246,1.6841874328629207,0.9753962583287652,0.815600363900757,0.7742243279781217,0.8379828606578569,1.0095214438267506,0.9998356152508551,1.2364828024889696,1.5140261139551892,0.9785067129878449,1.2875924620570685,1.440716648343026,1.4238193072100254,1.124531209403814,1.6233264035742037,1.3011226603775392,1.533079696361426,2.6409848448210935,3.1015498403324893],[1.1613800362513376,1.2258543284489494,1.2749676134387447,0.732459748203476,0.8805815460989935,0.8734786203503813,0.8118094752263295,0.8337856536057652,0.6685198547539672,0.625472034449368,0.6020408646765556,0.7251951122446498,0.6871436127665931,0.5794725869399162,0.6698187080839719,0.6700751686113191,0.6783254032192679,0.6428560470390732,0.6394770987383093,0.687869133843844,0.6507779548839372,0.8190781719455752,0.8287545544976378,0.7968006269372102,0.8064347274255382,0.6979460562200736,0.6982300144268849,0.6782552588171618,0.6924646876804026,0.7216075188230786,0.6727700348851818,0.7810384570637622,0.7717162430691953,0.7507626990743214,0.7649475262213464,0.7289915361528196,0.8136129553495429,0.7829009558758162,0.7712408346164895,0.8092278279938956,0.8548700700764339,0.8057944286111508,0.795137946573303,0.842190901631177,1.1117914711190044,1.3751175386465315,1.2913242965902574,0.9404707102540115,1.2315076950377455,1.7653818478021677,1.1416583176511752,1.3664139748923232,1.0972608565616484,1.0925227021536763,1.75273060326076,1.076212496098497,1.0872589209953032,0.9731593940167378,0.9414307028867046,1.3472840043987133,0.8428992830923085,0.7922967259534888,0.7227997643969609,0.7813203959393492,0.7691400066899315,0.7109658638815434,0.8063774948788429,0.7180839968149917,0.74644526034806,0.7284422667945639,0.900826701198998,1.1028770873130678,0.8676697069016956,0.9080351972106416,0.702283567461141,1.048674077749839,0.6803732997733339,0.7159361534674782,0.770842631513467,0.8064883692513024,0.8613392117049413,0.9223747673197034,1.3036120952804595,0.9643570633152946,0.8846821560709629,0.8497098475084428,0.8159362118058207,0.9008321669196641,0.7466989443974752,0.7445499432687943,0.6980614941430687,0.824469932077377,0.6830395138153268,0.6770903153222787,0.6673214199603504,0.6573118263993097,0.6348731698504326,0.716367201609307,0.7636959805566719,1.0086381514990705,0.8853592313084091,1.0852461734880698,0.9236920864908693,1.060797950533566,1.1344496483018565,1.140083356399514,1.4086587214735953,1.2146151495098385,1.2245697272957834,1.3191746406021587,1.1225339356696507,0.9713377615963366,0.8296432138385729,0.7839973345352903,0.696983098085777,0.6712765685677891,0.747869592006987,0.632754781346175,0.6581067473484508,0.6480072315474126,0.6287046968717458,0.6035394586510257,0.6179908160293369,0.6138347548717776,0.6662979829723281,0.8293468543634919,0.9329951392340905,0.9524613814320246,1.0811238319792178,1.090303578216676,1.0444169872989715,1.1185910417425624,1.0404695247327826,1.0794122550373915,1.0154752674976222,1.0298367531504136,1.2127357637716847,0.840412653931015,0.7404032910663053,0.73502502475726,0.7506540932199394,0.7774052214022066,0.6798239489642457,0.6994539785022644,0.7414839966228325,0.758721154519492,0.7531604634671252,0.7707111049529621,0.8382862944678195,0.8439399780603091,0.9712179011257341,0.9086192135177983,1.164932800714086,1.449304680949215,1.0936644233321413,0.9730106408425405,0.8612344772765167,0.9900577704190074,0.8590769752806974,1.0020996129668316,0.9079494997818074,0.8692452318789411,0.8210467689296963,0.8403305059120523,0.8766579857618892,0.9781891068508902,1.0478819868497051,1.2125028383094498,1.284907243712422,1.2060124041202842,1.0367641324304078,0.8745934830541638,0.8834268925128661,0.9258723935228645,0.909442460738688,0.9868568437747275,0.920385804798766,1.089336577759301,0.9485939048145862,1.0033745199385196,0.9808556912046271,1.0129688286823404,1.0283916098739603,1.0842793536321642,1.0473483356103297,0.9744338070909738,0.880561628211536,0.906889485680036,2.146145916599536,2.1970574548084554,2.6167003580262156,1.3467942198760323,1.3747430214329668,1.265044985357612,1.0389203237517783,1.1326535081462898,1.1676552239208893,1.0630727302408682,1.0828487253584906,1.148391459212544,1.2830285326170003,1.4475830377030423,1.2921300209176383,1.2312990353070092,1.4666347048671526,1.5454172514602504,1.1959432909982188,1.355232200400501,1.8347590528066964,1.6297740700836238,1.478677325464086,1.8561077217689521,2.161966838386304,1.5940203180159982,1.675984792643118,1.324925571579998,1.6277856176214913,1.2528822280829928,1.25473400027282,1.4584051497973902,1.5380326014125716,1.9252091821502273,1.532567880692366,1.7425233475952366,1.5091093040529626,1.531261781219119,1.6583583866026634,1.5132974843715647,1.5210388824307983,1.404482437959127,1.5005168924219356,1.3584664074005492,1.4191095819256732,1.3159278395447975,1.2732946769550633,1.3490447040793379,1.242562191261091,1.1827501079795764,1.1222882303341126,1.2293743988684684,1.3555167724743737,1.5774658370346413,1.7540377689417488,1.9933766831420499,1.89379556264563,1.7778240974203197,1.9333905744963988,2.0721772089811683,1.9135045593537388,1.9010391889070724,2.2464584768054925,2.38779007806361,2.1691323670964824,2.217782349944349,2.5212220365050992,2.6110098216109128,2.2362558162950035,2.2563663761401793,1.9718499575001844,1.9267635830069045,1.8518446862755458,1.7112889534415074,1.7198692844767667,1.5701675214630788,1.498140556316745,1.4221160533536927,1.378966489373149,1.2783772320100597,1.335008236132561,1.331995284414752,1.2218019947918286,1.2505634482182486,1.2514727297880075,1.4614876031228472,1.3793764769797756,1.3812226479309306,1.6353844948630538,1.7259459864585731,1.7085535125904885,1.4410237219261353,1.1274474326482677,1.109210605264239,1.517324372384368,1.4962876762919581,1.7121579395777289,1.577075805373681,1.128117145217402,1.058572225658043,1.0833078115129766,1.1542509208551122,1.2714438624149904,1.3189827922892292,1.5573866061372204,1.7160531676246435,1.247054986434342,1.5616307159473428,1.765584435409459,1.6255460502317787,1.3589639006001473,1.9711136722090006,1.6952851477035336,1.8730374605819722,3.1054428047573337,3.763692651352959],[0.8250503845231986,1.0703342583261675,1.2024722660507592,0.7535106728738751,0.875522512507251,0.8201809987855948,0.7642548469342547,0.7839501115214063,0.6462966153660434,0.6128030678417863,0.5941673720312833,0.6811806008229233,0.6698156979598676,0.5833867170346042,0.6368247474966129,0.6459263260918521,0.6683412899891251,0.6461368621761947,0.6702994597274706,0.7027130293110933,0.6851181157566744,0.8375829112922814,0.8711906979723226,0.8599635887278753,0.8570791186293064,0.7422050286147333,0.7336233904677604,0.7072914397734819,0.6916560351032475,0.6958979350352781,0.6384759694329128,0.7421805070142058,0.727258614846454,0.709076898636717,0.7247788521991062,0.7097184292082415,0.7822338841159642,0.7894759163432216,0.771825238203931,0.8065334756909119,0.8605500339562739,0.8177318768894095,0.8048400646483213,0.8501492288124176,1.1381585654093367,1.4110147840472325,1.360631162309403,0.9406493288247824,1.2319015794463692,1.7713890507880852,1.1860084583524884,1.4088644290488868,1.0844914402020989,1.0973676947190643,1.7456577326368399,1.0633662488454854,1.0632632376424516,1.016287061644613,0.9547825736968077,1.3488307550394119,0.8866081470790158,0.821301820564579,0.7306989143992466,0.7729600126915075,0.8218977962257918,0.7406663458765322,0.8004120857426139,0.7009249468965951,0.7572309996536607,0.7291157281246083,0.8765382720540505,1.0755980910141794,0.8539290158542708,0.891057031808199,0.7093649424164158,1.0360817029876117,0.6813629392958033,0.6904483342551939,0.7592164504508266,0.7873573643312208,0.8299021330884612,0.9187875097933791,1.2924512105259778,0.9296571147002328,0.8740635574799227,0.8363440545948823,0.8054041325442062,0.8608275716252227,0.7241862536370371,0.7300837257425449,0.6739634490425447,0.8074068165017851,0.654290161389528,0.6356713518420024,0.6312721305226862,0.610841620623312,0.6168142381721364,0.6591994040433284,0.696003864500097,0.9136005640162126,0.817835113700798,1.0075812599563494,0.8608562500975109,0.9973066159186909,1.0940834963754242,1.0939046870107743,1.3179201574600732,1.1372530536397483,1.143361724307851,1.2267999440184971,1.066349163687771,0.9209611924866887,0.7881882745375204,0.7620133790649755,0.699065866311063,0.7012486475859193,0.7887625407491057,0.6867062540341194,0.6888108141486273,0.6813117622017618,0.6563173528728197,0.6365789579077683,0.6735862387058639,0.6475542259264037,0.6756043837804669,0.8223966378621455,0.8876311511283805,0.9336555012272513,1.0568143038628357,1.0581571816133841,1.019944709759191,1.0901613900467824,1.0054230911670403,1.0433421849329245,0.9937578017993192,1.0029832742796458,1.1733834718842033,0.863259937917849,0.7764979579941975,0.7671011467771006,0.8010560584564798,0.8461283822046091,0.7180688208432315,0.7343881721094172,0.7644454616555528,0.7581925410729232,0.7603739808445059,0.7532996500045439,0.7968544866300927,0.806930973256755,0.9101697402106105,0.8502069550412533,1.0975656904595361,1.4234444552353254,1.058523659448744,0.8969098554079697,0.7878112063793147,0.9205482146906436,0.8158329356515837,0.9447275869500578,0.8747846560838962,0.849806295316088,0.8243038277735819,0.845047884433816,0.8824264300164177,0.994090384810715,1.0439257028256816,1.2230230951528438,1.285442513575174,1.1975792301583346,1.0334974277787148,0.8822056593716999,0.8822476457385593,0.9005785626275258,0.8781289745128696,0.9397441521786318,0.8747096380165389,1.0459388819434186,0.9103660282590922,0.968537766716653,0.948644488134016,0.9820869222911415,0.9961852021670924,1.0394714080915723,1.0133420895183147,0.9447116598996405,0.8797372163692765,0.9012427772732654,2.085680264584128,2.16347959504857,2.5412825682042244,1.366512683158148,1.358005822886456,1.2466163012535363,1.0069535704877417,1.101843391960721,1.1122177431975047,1.0214567964234023,1.0403292026815516,1.0999416377015923,1.1644324596610662,1.3042995060601317,1.204591709553264,1.1539047940286398,1.3132784284299766,1.426418660431898,1.163691235974021,1.2636039354182778,1.6636371860806067,1.598650493990403,1.4728537333895593,1.770901116205339,2.0746800848321554,1.72024293952801,1.7813444233095068,1.3883358340348206,1.5598502531659617,1.1635939290088784,1.172208569808894,1.3115044132700757,1.3628105394839596,1.7352019945896888,1.3818305912658004,1.5878024083771218,1.3202382867212323,1.3195032095353192,1.4378746706105048,1.310053655239103,1.3288541146429333,1.243124514638646,1.3599199052072517,1.2272677637259202,1.3198095479562797,1.2233172824029857,1.174414878910364,1.3283250640624205,1.228612011364679,1.1932750776669636,1.090488716462076,1.1238915334899717,1.2019008763131294,1.3774815853365756,1.5293028408201812,1.7138590795115234,1.662461497241051,1.5722426951002169,1.6674099485460658,1.7685581150322054,1.678587462195417,1.665953640668875,1.9516450061351875,2.095960660117303,1.9465081875740633,1.944205002807223,2.1945028141726985,2.3218377844650733,1.995244111862506,1.9645438662407801,1.7325187785415637,1.6618075838834927,1.6061304475341676,1.4632600194080752,1.4880727636049194,1.3911013936155319,1.3055225787822038,1.2594711565809311,1.2474257744775308,1.1635191372813647,1.2235147597531675,1.2669661446948528,1.1756716522860349,1.224310559346217,1.2242289197003657,1.4448462856952733,1.3672811029966978,1.367891928015719,1.6092922813794923,1.705023003090373,1.6140839448453357,1.379851986304362,1.0950344949424897,1.1574423913609508,1.423323799974505,1.47980932931006,1.729415317741993,1.6084416981324643,1.1262331935027756,1.0637045051827143,1.0579921056030552,1.1209429216770186,1.271405398127833,1.2298397557883627,1.4214892641262291,1.554642778992829,1.1785280278759873,1.5006377482546784,1.601977884022633,1.4651727830172603,1.2830859571103002,1.935033032445134,1.456376406203651,1.6217893143058244,2.843159745286309,3.2469347705295335],[0.8242691110639631,1.0962005445311358,1.133065972600078,0.7369500157994626,0.8350753963208885,0.8124973664395398,0.77745611206862,0.7651291143011476,0.6615044661814374,0.654746848032883,0.6334406879968634,0.7018681630710872,0.6973589473643673,0.6366020255887579,0.6936692671539659,0.6842887094713564,0.7153621491512074,0.6937165873067229,0.7171661946462301,0.7352020289151128,0.717464710927645,0.8642292751409789,0.8867451636005577,0.8610862655990471,0.8722767000452074,0.7677866082161592,0.750759602699844,0.7336973741344951,0.7247948637008664,0.721354862333878,0.6793763189794845,0.7555094166267792,0.744633513531361,0.7320330390859812,0.7378795462301306,0.7354743106832978,0.7850485257822866,0.7985751500069218,0.7800293018030973,0.7981327859370285,0.8667418797244575,0.8446742080911065,0.8217839387541558,0.8708217661815827,1.145815049210225,1.390166470798042,1.298830055849837,0.9496352648860918,1.2252622060675087,1.735853446439896,1.116885844499148,1.3282447748797335,1.064044918653161,1.045738201818119,1.7127395162536954,1.0579528567636636,1.0917109157138292,0.9823816696082721,0.9436634005673585,1.3622859926579498,0.8682489158336334,0.8279287116976229,0.7513100985899411,0.802504055540779,0.8249989813977273,0.7559845871264513,0.8543032219571516,0.7522318825976878,0.796649114266208,0.7685821835095206,0.9278644331532393,1.1118471819136735,0.8835593519147761,0.9213104443450166,0.752489800920442,1.0532628621185345,0.7144790027549894,0.7300314617379444,0.7798065887849706,0.7968019424188879,0.8270103525498148,0.889906622042303,1.2649802186839936,0.8915844246325171,0.8491662444485537,0.8193089824671929,0.8057592174307074,0.8601735101272906,0.7462012930902685,0.7435456040899197,0.7119263020373351,0.836603109641957,0.6945690507429422,0.6765949654879969,0.6703321957854957,0.655005909850535,0.6641674098373422,0.6767386155014015,0.7026304353609317,0.9022008929531572,0.8002522533458462,0.9577782289057549,0.8181759760428806,0.9336120301955597,1.007998222721954,1.0075710991030944,1.2274545411298647,1.0348302836411134,1.044808725091243,1.1618208553465923,0.9915699573697322,0.8881684021533949,0.7790411491595515,0.7804863825786498,0.7342556078497912,0.733692030213261,0.8117891044656783,0.7177091945815929,0.7408579007708134,0.7253996950959356,0.7154319891039677,0.6895285879585462,0.7182720502532827,0.6955499457672609,0.7167604853854029,0.8478143920810145,0.86983053987674,0.8934343528896754,0.9709337944747017,0.9684409385615068,0.916309399523033,0.9546636405406311,0.9115333947289057,0.9463431712478236,0.934821114828843,0.9786641649713507,1.1902859269895054,0.855233186648068,0.7887378073311924,0.7806805295563057,0.8164204413172459,0.836175912749565,0.7473998926431709,0.7544107534192532,0.7780006759048297,0.7794314697844487,0.7768686321522001,0.7674126645166978,0.7854666461472505,0.7980711244497104,0.8644191998726867,0.8152400610997961,1.0409003737960385,1.4092445399575173,1.0308164549067589,0.8580641622234613,0.7687188480587058,0.8763165445391229,0.7930639131425078,0.9024290007472557,0.8504632042148657,0.8454674693564695,0.8266420963280617,0.8324674528130305,0.8653151256653019,0.9977662854156798,1.0241729934709383,1.1944998927399848,1.2575879076774013,1.208920609315802,1.0137133125536473,0.8688003606155846,0.8466142026396863,0.8671823478149336,0.8461234198491636,0.8934034886756909,0.8484908809118381,1.0048617797971584,0.8778098188337473,0.9115018531433482,0.9098926799825744,0.91119312073407,0.9144518876871521,0.967267458206065,0.9658121888736085,0.9187873272457396,0.8586344672507952,0.8778374544483047,2.111863956733063,2.196078443644074,2.630017489447428,1.2902352631686644,1.316219732133435,1.212192318311899,0.9294577126987141,0.9887712509553135,1.0433648999777152,0.8806465568413431,0.8796401190229581,0.9427493615839209,0.9876181248535052,1.153431284541062,1.0645944867244805,0.9618979171389841,1.1170311172093659,1.2586120288362974,0.968605073521189,1.0122933950347088,1.4317512981596505,1.3785716638854995,1.1649733255981878,1.4145195561798105,1.8048170041703129,1.410748428710937,1.3055095463656363,1.0297871207134608,1.2261526025885283,0.9779959206470376,0.8941164343342263,1.0010977853636827,1.0824888659960301,1.67564709910667,1.1329625275787114,1.4378646282279888,1.1024597168092194,1.1193608027737845,1.277399523475354,1.1424415603933236,1.1347891079124899,1.038412403278149,1.1848548311344371,1.026222352084415,1.1248338555855095,1.0245235532359658,1.0399450922083833,1.0872729630797344,1.0418021788616372,1.0291525024533414,0.8884088103219551,0.9691843423366148,1.0454345504485734,1.2220377998286445,1.3968570253549568,1.5687755027543215,1.5561164615159042,1.4469039862779622,1.5081956814991722,1.6476596615801933,1.5704748397184447,1.5152174967755072,1.7956789087821996,1.9617404927460527,1.78074488517791,1.7259143642844457,1.978883261582526,2.113263694215307,1.7124467671583572,1.6719966431134237,1.4460198166005,1.4091137735204626,1.3895200832211565,1.2250443938943927,1.2222617736047217,1.1334957558642278,1.0723905436115273,0.9997151715549497,0.9836948066909605,0.9422234440690659,0.9734343800162816,1.0639484982345606,0.9756136590725316,1.0156356393050399,1.0326054373903857,1.2942508043679406,1.2301652487570494,1.2660597780157026,1.4650446070890297,1.6217468381136149,1.4515835057060684,1.3583495207968017,0.939293421266588,0.9333612093505446,1.5515179798101986,1.5122366064855124,1.7119854200004132,1.6148447600656048,1.0061073340326465,0.9349143732103744,0.9197585214935188,1.0502177108005002,1.1475643149214223,1.1114057999086184,1.2869884763526815,1.5123296762840457,1.0888613598569623,1.3732720296733045,1.4701401694283032,1.4383068701898325,1.23072238991876,1.7739604335521462,1.2572674339159313,1.468706412696053,2.5584673295674607,2.7607751787712567],[0.7918084197037156,0.9196045339606562,0.8656661684213421,0.4751509687979864,0.5610892375056,0.6195794158567878,0.5370906702081902,0.5633547840558809,0.5042282799438277,0.46006778736312204,0.4600526910333022,0.5470893002046457,0.492396919021524,0.4579315621936139,0.5136722429985825,0.47598788610413406,0.5060472646100093,0.49387322076444407,0.5391309243241871,0.5328847750107006,0.5156352429768509,0.6603689136176698,0.7265689708264167,0.7095631835708097,0.6827474537422786,0.5640231897320649,0.5329805491501468,0.4972592128926991,0.4938730785921422,0.5002615407766815,0.4962974839179766,0.5509492802333091,0.568383874801989,0.5535191345235599,0.5236418333342417,0.5160280824307887,0.5469919836341003,0.5496116170855042,0.5173711280023793,0.5380060216841174,0.6431373814769125,0.6227006756375869,0.5859470098062842,0.6423816323184158,0.998738414543736,1.2647336439859256,1.1702407964109922,0.708343146393688,1.0271960777388265,1.5644082725711916,0.9244076630780192,1.202204462872261,0.9064801202410347,0.8693346754333339,1.5701254672030138,0.8716234339836196,0.9004634832631684,0.8764677767203117,0.7792628894833584,1.2977652293232138,0.7097261036378029,0.6165937510651395,0.5329046950395048,0.654031171770723,0.63257027272194,0.5326516395439025,0.6939468240339257,0.581871073989702,0.6891549140435572,0.6681964738707271,0.8549200612268324,1.0778858475159578,0.8330565822271744,0.8731355189364217,0.5962890593523704,0.9933051624064106,0.5221802086955912,0.5280444975928837,0.5634510512216346,0.5793493107967326,0.6000978015810273,0.6877409731935099,1.1432056807954507,0.6287444849338588,0.6092202714547198,0.5768090473717158,0.5547807058998875,0.6492372812661394,0.5131357274341867,0.5602427440483794,0.5320031152566749,0.7192655861464996,0.5599496817148376,0.5140002138817338,0.5155051712666083,0.5450096342464166,0.5535415199362699,0.5318992196882366,0.5510815533641642,0.7724404715351344,0.6169124198283924,0.7792873693482518,0.6088326435101079,0.7313946960902769,0.7797668878316933,0.7939931034591968,1.0186090358323812,0.7900591210755704,0.8034248731312208,0.9734454272653243,0.7590946726375304,0.6216672032569018,0.5264467139695022,0.5225593824519705,0.49224962880885065,0.48862268270752973,0.5902692014103321,0.5073563325984208,0.5795646904107565,0.5308882752509223,0.5478169931073367,0.5107848678013632,0.5305514435216301,0.46062680888786484,0.46911568954917393,0.5745479619879919,0.6148515577482033,0.6024523225161827,0.6929618412383685,0.7019903383237852,0.6734180577714558,0.7525404539983007,0.6417734511790483,0.6952981286868298,0.6453919953109725,0.6946932520575512,0.9227017148224531,0.5863408028779086,0.5127651986249779,0.5031031971474236,0.596069275176525,0.6426996602375573,0.5154840914300641,0.49791072384276436,0.5105356589877513,0.538754009519956,0.5283770873465822,0.5244316879700667,0.5322409789861509,0.5793300290470051,0.6700537162090675,0.6497590871461701,0.9213025181511887,1.419908645467654,0.9738687427534514,0.7045180286459283,0.5915835278449819,0.6733379584040374,0.5850223117507081,0.6572349355595665,0.5711757257394601,0.5713917379435278,0.5450427125070312,0.5527416548559418,0.5785030224315928,0.735320641750502,0.7446723120518516,0.9869423395447663,1.055239774283345,0.9751877797088285,0.7336009187071021,0.5636758876280172,0.5530953700844167,0.5812585563906401,0.5677676206146742,0.6379279330543953,0.6074243282865259,0.7822957329747775,0.6143327266480899,0.6490157713413388,0.6424983497256902,0.6583724042227561,0.6613173738379308,0.701025884709219,0.6821580402380015,0.633052722770834,0.5822458775623859,0.6186575603412561,1.8092596753004313,2.076173651839155,2.4783165977741937,1.0712339182693735,1.089042661617745,1.1017659685297372,0.7279145589388714,0.7643798347977733,0.78471294991708,0.6638738404509092,0.6808699204401453,0.7727384988459352,0.7896649065162372,0.954911647660564,0.8638349533018372,0.7747706232689547,0.9400183617127369,1.0895114676509812,0.7972281397472435,0.8797931944978988,1.301775548766503,1.2601342410125198,1.0941159000144332,1.362103666452352,1.7116538975773619,1.3819679027628962,1.3750207853722338,1.0737836484031598,1.2506218089030299,0.9303930204464227,0.8407969790768118,0.9658126962177426,1.0279712790473106,1.6203634492449983,1.0996335339781924,1.3936113428493226,0.997729329838938,0.9827693283916347,1.1066698045611603,0.9775321901096016,0.9895017224745166,0.8702226596105656,1.028206866963085,0.8913045142426841,1.0087852748753807,0.879557638194862,0.9200998835742323,1.0186727005012426,0.9583298524292448,0.9322806179260017,0.7446751998281101,0.7670510490850112,0.8344555689664567,1.025101057635248,1.2128065745109082,1.407551542566402,1.3885433859497587,1.2593024948602702,1.342972992297809,1.4974703491982233,1.405160766931473,1.3521776956773894,1.6677588934220562,1.845027487695848,1.6482591748389097,1.6171914518580652,1.8959621274708978,2.0265606333225215,1.640504688000305,1.6182549944925804,1.3733745269480804,1.3080752760645524,1.2508854951720514,1.0876127503541146,1.1303309332059144,1.0108454673922749,0.9228312290331414,0.8957701796728034,0.8956344707500732,0.8045859908420794,0.8789387778333321,1.026951466220642,0.9102383421816365,0.9351804891018795,1.0139854485243756,1.3007337050575036,1.227573607485684,1.244108654438984,1.4871983633586399,1.6183355403395583,1.3977084023726312,1.236300847810567,0.841436109833605,0.8265034739794723,1.3232091686192846,1.4537229017186517,1.7331822424280916,1.7096859839636154,0.9574440079133602,0.7827164610126921,0.7257244822808993,0.7948038000102142,0.9848586049545728,0.914530162118926,1.1102511550102798,1.3950860364667836,0.9119144838044977,1.2278754409335688,1.2840170189257243,1.2853961235938718,1.068405147396429,1.579534948669745,1.0726527736189089,1.3994225242879048,2.34544155846641,2.5384467808035573],[0.991355735174311,0.8391277909297453,0.7226308637962949,0.2767035147945533,0.4292980820391584,0.5332936893217622,0.4338441829633403,0.49700016698792476,0.42604076217396575,0.36015242087291516,0.3811905897327577,0.48015068576756265,0.40159878260888765,0.35585108430317475,0.4462582225200223,0.3925291265149396,0.4044539676466882,0.40822359129954944,0.4641694786150269,0.4584760868095436,0.4636536579572286,0.6228567505312534,0.6608356135955741,0.6451482715399229,0.6049749939792959,0.504268415213609,0.4530709471749203,0.40814012241188513,0.40561782343347086,0.4096567709330356,0.41499752647021293,0.4747825662676438,0.5149608794773728,0.4878449447663137,0.4405478230584582,0.42270056101184755,0.457934868399805,0.4426940930517271,0.43169193708569403,0.44777417038819717,0.5554314147083077,0.5390506954362434,0.49301092104543254,0.5520271233625941,0.9141520656994404,1.1829880014858671,1.068768736320107,0.6144642732280284,0.95178770409913,1.4861002097390892,0.8070818224557279,1.1104734230978353,0.8337506268006457,0.8306037542629793,1.5505542980200757,0.8091935434627202,0.83060729224721,0.8249022270653789,0.7324163613093949,1.2224145308702505,0.6581164142694238,0.556349588256566,0.45954695461529427,0.6267945157269394,0.5731552022538535,0.4647399580674387,0.6660713847280261,0.5403191346615637,0.6544501227998091,0.6364315245474228,0.8411123250404842,1.0637598812947375,0.8280971018823795,0.8527121918989449,0.549866624724121,0.958071528726684,0.4735719080599342,0.45579785306875603,0.472255783364409,0.492917353535503,0.5143192052731806,0.6317069366905009,1.1195719150858277,0.5378433498178249,0.5201707727777596,0.47990889792284164,0.468671028982529,0.5884711966349854,0.4269727932442047,0.48389654066050825,0.4686610684616265,0.6620813113601351,0.5002783306491685,0.4593674151260767,0.45326641584188526,0.5014455186684489,0.49662613769512465,0.48825885444156136,0.507304977431912,0.7568283983487443,0.5744534486486205,0.7400972698221081,0.5396731684384779,0.6764881647458182,0.6811689693205979,0.7097615867127587,0.9691545349696642,0.7029723581205628,0.7195411420343518,0.9492280563583139,0.6824070739609952,0.5322234047912002,0.43000053550968204,0.42179854140484996,0.3933334411653619,0.3926116774891675,0.5057128745235061,0.4189730663368611,0.5080011457950887,0.46917366018183326,0.4825709388566908,0.4369049336034891,0.435948507486215,0.368832336225557,0.36759386252658793,0.4584851490100887,0.5204620177837741,0.48040411260545957,0.5568467177415457,0.5912022892884615,0.5297412498429084,0.6253801999077301,0.5049995783823984,0.5946812301271722,0.509859528909107,0.5820229597794174,0.852160960292892,0.46213188372316877,0.4139400443983184,0.38908311871569146,0.5253991615859869,0.547331661333883,0.43250986794431623,0.3894367971938567,0.40450903776070646,0.43782930432495804,0.41276888062078604,0.4348626782450099,0.42736990192244,0.4983027876382415,0.6176633325315374,0.619162635627281,0.9452974920537134,1.5064684607140912,1.0322593999256635,0.6998339259620323,0.5410256659984988,0.6285966236274602,0.5073647025238354,0.5871834442356677,0.4622606188282779,0.4708230936043537,0.4200214429532825,0.4347797496712435,0.44489637073743477,0.6605086100467655,0.624758057127837,0.8727887974945434,0.9441103041272041,0.8828109100182524,0.6229028821039578,0.44517927527610063,0.42481847650211424,0.46925529386911025,0.45191852391562964,0.5360283198461403,0.5292421846404707,0.7234215972649353,0.5046557602015874,0.5466696779308736,0.5415867063249619,0.5436549607298344,0.5484091510255129,0.5741824544645477,0.562841933278659,0.5232477343236698,0.4950363849291084,0.5092461074256981,1.7453079808146827,2.0733779574827484,2.515718079864205,0.9377126968380962,0.9734495577023436,1.0292654941057797,0.6188762380229202,0.6282168785715972,0.6831496810509088,0.5427808140539088,0.5565764261593791,0.6626755345595765,0.6838397675393884,0.8645404231350747,0.74893494461165,0.6483270909798378,0.8316299085161531,0.9670613457498727,0.6705393106524464,0.7463512734357856,1.1716035808400787,1.064567843516322,0.8972435310892937,1.148571586556693,1.4699005931366997,1.1134662136485478,1.1041737344128335,0.899979706801479,1.1170594521194184,0.8650313958913094,0.7462271734053721,0.8480364450529878,0.9245961877185861,1.657737755780449,1.0121167699514984,1.394867477497699,0.9330029071452682,0.9326668848899491,1.0608072603882066,0.9278815928847228,0.8968226628402175,0.7674823692858493,0.9510680920400358,0.7670217541965929,0.8933692978351409,0.7550388424967681,0.859891936745955,0.8627803919004169,0.8501101416831104,0.8486955491478393,0.6185460956987864,0.6715269543629453,0.7570707571835317,0.9727124320521786,1.1932086586763144,1.3862951941519084,1.4003759182911437,1.2356173346238037,1.3008924230541112,1.5016492112140662,1.3975633608263698,1.2978994293325625,1.6285765272564319,1.8096309811383482,1.5637133127216594,1.5296395489483774,1.808787009308164,1.8981350208269328,1.4852686100430523,1.48830049957426,1.2507732534693563,1.2148592214653493,1.1709530645278394,1.0159538135291837,1.0410445849927834,0.9019753863950054,0.8268021087833123,0.796458721152071,0.7982449220030545,0.6955223400014884,0.7559805324508132,0.9377616342850702,0.8287500274826959,0.8157026604137355,0.9001214805865037,1.2049858220369725,1.1398267692224227,1.1791445191376506,1.3978909015049679,1.5544078549033746,1.3242615719465314,1.2101719870480128,0.7787715820876007,0.6902206574677666,1.3709703402131215,1.441551998710995,1.6727549317541173,1.6931350417441366,0.8880250393340909,0.6869162063617004,0.6070579851428496,0.6825145209977522,0.8408058415930857,0.8192466607185843,1.012681291401466,1.441685667886665,0.8360227102105242,1.0933194292529134,1.1388042874506223,1.2435368029540228,0.9611888585369737,1.300425430724107,0.9747630237476542,1.349362440512465,2.0419034122199027,2.2293943919321677],[1.080700022326326,0.8036875503912851,0.6622162371872032,0.32992545647534083,0.437165183344618,0.5268403256773825,0.3995435212680562,0.48595139619563055,0.42854177216047934,0.348458867686256,0.36966018767341324,0.46019509102796047,0.3778135909008598,0.34509344492442223,0.44318681023538514,0.3850316926078857,0.39160607819446336,0.40462665728819963,0.46676721830820445,0.46322984971959713,0.4797350738530456,0.625256990561811,0.6684756482041944,0.6788332453121309,0.5882208527563731,0.5075882991861448,0.450970893339434,0.39173053649578654,0.3914473501323444,0.3903789300890867,0.4183572706437984,0.45726629413008746,0.5008804199387277,0.466496957435192,0.4154706878449538,0.3976581827564132,0.4282723285825471,0.406959266025103,0.40682374373703867,0.4165725948391416,0.5435399767754482,0.5196182469069615,0.4905710940932234,0.5069173925166792,0.8906935408354025,1.168893200640713,1.0775992543228101,0.5860793412420809,0.9501091738337188,1.457863773538475,0.7757777701559839,1.1118124027486473,0.8043414148757625,0.8282327406357547,1.5134383690415827,0.7604267039429913,0.7644087365389122,0.8509744088288945,0.7199143381125517,1.244385198880024,0.6882618566370223,0.5204345200175075,0.46831587514179407,0.6979918113129457,0.5834591547348713,0.4511133291192322,0.7014763915786292,0.5508099593492715,0.6689858950958096,0.6308317368795574,0.8158718825273051,1.0730544524493364,0.8332269532376403,0.9089538773626805,0.5593310069298918,1.0533274431401205,0.47966129442901784,0.44727742001468357,0.44462000343964886,0.48351681780110173,0.4843236705604358,0.5965509762751579,1.1259840030244803,0.5096463878369205,0.5112649714685829,0.4555328050495266,0.4372514787816571,0.5593138548325892,0.40607368155820706,0.46597932891222515,0.45823199070636744,0.6832486194033683,0.5194195882845634,0.46103282692688907,0.44934199977450706,0.5183308674439641,0.500883353565694,0.48280818362296773,0.5079034577549008,0.7741704039164089,0.5614480854244867,0.7355588918568059,0.5216319550848346,0.6544391489080059,0.6457348567447398,0.6804761293126869,0.9423322515372757,0.654357529777254,0.6762244679298901,0.9396032066609886,0.6483992498821233,0.48445861183292166,0.4028351868104427,0.4004522475859507,0.3751235672514547,0.3572673773281431,0.4592626484687545,0.39122068734626414,0.5405264032916703,0.468937137006112,0.4739705166115697,0.4158761109901419,0.38988779964888376,0.33327278920070097,0.35358570337495876,0.414108781283822,0.4889716684435118,0.4528669356977415,0.5137687692666338,0.5522157664348204,0.5214923396062442,0.6128839104739469,0.4811504756088649,0.5632971932291714,0.47510785963479946,0.5308669351880161,0.7826040038772889,0.4337611637160329,0.40102326387021153,0.36891076714877125,0.5534011729107927,0.561607992510997,0.436301313425303,0.3566589849573216,0.37218504319517437,0.41798617122893894,0.37770099924587835,0.41656686006753635,0.40631607531154973,0.47919439361349475,0.6044026805346556,0.6219567289029556,0.9736180821446678,1.6331014935356698,1.117719075610433,0.7128901917476789,0.5310302015957847,0.617303701413559,0.49691529907513343,0.5650277700209617,0.44825319686928555,0.44790208737655696,0.38584618225424405,0.4058181914375541,0.4156899536055911,0.6141508590813866,0.5680667492024809,0.8228056256551404,0.8809258383112792,0.8158340832354251,0.5608326596061491,0.399037254942027,0.3960090859428154,0.42918321202965737,0.41836698086495333,0.5089838837223323,0.5043297360614571,0.7010061444315334,0.4748401398847755,0.5071858862346575,0.5036871897961388,0.5092826081447247,0.5104798074575416,0.5210698859259532,0.516226762283155,0.4771145716944765,0.4623297574717697,0.47672709205848934,1.552667254027393,2.096900614228551,2.509509358675835,0.9066861326276999,0.9301974860606109,1.0758607532903401,0.6292467716479906,0.61404839990784,0.6469698668438958,0.553375356600736,0.5628175745076218,0.6679668651844481,0.6504552801934971,0.8270765732598897,0.7116679296817852,0.6283743879649011,0.8033656913455156,0.9325267484579124,0.6575605341594638,0.7335827247672714,1.165487077183399,1.034492122170272,0.8946777238070517,1.1688879888626922,1.4644420027534824,1.0978180629075847,1.1461636183079063,0.9273557406089269,1.169164133547344,0.8930908780370737,0.7601082653034309,0.8812889679061222,0.9477471929125683,1.6713593240251143,1.0352530813513687,1.395562773081707,0.9269356886558594,0.9213363221157208,1.0374563253680886,0.898461374208135,0.8815625813433726,0.7429743855134454,0.920879120599031,0.7565854513190319,0.8977694041336441,0.7459589736687893,0.8562196163308811,0.9060010680123344,0.8909859183712916,0.8897994703278531,0.6305832342024277,0.6477705528771007,0.7173339615539227,0.9406612837076062,1.1718861971070016,1.3856532898149494,1.4011782597217153,1.2123757199943508,1.3056880259829637,1.535021430449701,1.4015391504945567,1.2945235704920222,1.6681619416970779,1.8554340054485545,1.5728481970017563,1.570605157256972,1.8868755915733246,1.9554007111626022,1.5345283312571456,1.5665289691190158,1.2938537974823319,1.2498057888104013,1.177477001140005,1.018380565205787,1.0613213636929129,0.8976303939404174,0.8113813584793996,0.7941409628673471,0.7968717704213478,0.6861405047160462,0.766046915794852,0.9575099511818016,0.8529842571089999,0.8588697824941335,0.958946200297664,1.2752177782567686,1.2086478988475937,1.2323750352724165,1.4996459593754385,1.611876280565295,1.37345448823237,1.1984184445045962,0.7863957742516403,0.6906462948133086,1.2722393467750415,1.4349675128993216,1.722531555814801,1.7798700029771537,0.9536163126369968,0.7196204799905883,0.6125443425888996,0.642113039667566,0.8074849228644619,0.7813116474090787,0.9781858829294471,1.476847542654247,0.8023731097428671,1.0444294024680658,1.103887494498643,1.2519914565933605,0.9208081663746313,1.1920383245672426,1.0929833824921305,1.4447408573619351,2.209820230979748,2.525866017003233],[1.0725014835577797,0.7716673100096797,0.5965059354054753,0.35105864709889445,0.41613173320544583,0.5081154970884525,0.38056289888021844,0.4588468305455474,0.420557954469253,0.36731555603620586,0.3680874777895521,0.4519269371352526,0.3821232688396333,0.36837906216168376,0.4602669927362261,0.3947862701943653,0.4151650567713576,0.46922956152229206,0.5609268317892646,0.5461880553192597,0.5799760359747865,0.7191776125503321,0.7689665437832075,0.7501459218078667,0.6749215324093374,0.6135664292803379,0.5396530928024041,0.44847811947782107,0.42550803580169516,0.39718533674989753,0.4403289907836122,0.44923901394991617,0.4875969033631387,0.47014844806468553,0.40706696870650266,0.41985663023917597,0.42058659044223135,0.4410414556549328,0.4533595180578545,0.44966473383508543,0.6295725021156117,0.6205222964432833,0.5968062032792798,0.575184448426772,0.9393484134068091,1.1946637793323698,1.1298378135939402,0.6620452979625103,1.0201307172123022,1.4987039827797723,0.8200879475633922,1.0799015587632537,0.859039882625932,0.824785923199212,1.5033806855773992,0.8014601499397146,0.7964398744931944,0.8879323981210198,0.7352126202067306,1.3090364738299445,0.728577045340691,0.572367423289542,0.5103434516423568,0.7708256342826738,0.655706190333733,0.5203176596462014,0.7753211351205106,0.6146238944917204,0.7328334802909937,0.6848636109659517,0.8592745891499591,1.0930990638668217,0.8753607853896753,0.9792929983609326,0.6124719370924396,1.0791645846845728,0.5310784954854125,0.48277472167238594,0.4682439594943872,0.48936831989334495,0.4962835783117426,0.6045427380763448,1.086495213092814,0.46848872217712856,0.5395877546747677,0.4634262015197128,0.46308007100873594,0.552356181839635,0.42984209959284336,0.4834805270965889,0.4967865903898632,0.724603156622436,0.5463021999937774,0.4750181907842351,0.4652847574212159,0.5298435270989021,0.5268966925680151,0.4698353472242978,0.49123684106298693,0.7564390557947983,0.5284400789733594,0.6867939874026295,0.48222993047347484,0.6015731121710345,0.6024303734941369,0.6190652523902481,0.8689646123593857,0.6018063860020176,0.6271431106522216,0.9047659378138341,0.5923875114773732,0.44099561397408754,0.3912485417120454,0.4032613219831438,0.39390584684668173,0.41374842388700733,0.4852149077639682,0.4752054131981475,0.607171002037962,0.5201313980571232,0.5208815350711233,0.46634205956491853,0.45632126845674587,0.3800971320973724,0.37175745431140256,0.4297319811238515,0.4848092737635055,0.4418498642264854,0.4731633342134669,0.5058774360507864,0.49263213780901216,0.563315563669289,0.4607220046408201,0.5171680825827182,0.4646846473358554,0.5649052817661192,0.8073738519797096,0.46044603674944146,0.4463364780199001,0.43989538599912775,0.6570736984914306,0.6706446717459821,0.5353378840598714,0.43120354369225006,0.44144221977220965,0.46735856573456397,0.42314202378578186,0.4308080106297976,0.3954386549291229,0.46926301473046594,0.5702103543157452,0.6057527387480828,0.9656526219039832,1.7157228742977388,1.1616558774268348,0.6872139083335259,0.4997054366585804,0.5716126433216824,0.46714665786825865,0.5167668168731233,0.4236665982464027,0.4558103962940516,0.43244171991110736,0.4562871120830635,0.46365192132955196,0.6509645118414383,0.6353598013632167,0.8936553505866206,0.9260152831845138,0.8785812599958186,0.615328958426218,0.4291168133105039,0.40255259635604634,0.4340446194161051,0.4131723236363059,0.46495899813803415,0.47931137746550856,0.6623208938721109,0.44631190998318737,0.4839340380489133,0.4883659801479711,0.47343565611002547,0.4770345840820663,0.5007244890688902,0.5081312389856454,0.48682058416486257,0.49483845966077267,0.5419896194363835,1.471473946949722,2.207912566467986,2.6199134737616228,0.9580554805643053,0.9777390831655051,1.137915042481516,0.6610226175247942,0.6203027826317241,0.6540057454832084,0.5394511292292807,0.5474246239302946,0.636422251098864,0.6008005727539457,0.7680116349458328,0.6573382556842245,0.5891996549668034,0.7460013541152074,0.8735768115855925,0.6316724918991266,0.6927934317171481,1.0996309551215664,0.9726050769596809,0.855563704737704,1.1097213176124647,1.373814157093793,1.0551734882599701,1.1190130293538911,0.9260033623844997,1.146259377915932,0.8887069224288817,0.7431117276458136,0.8568012704869702,0.9172710008069035,1.6717981404167945,1.0179143849015635,1.3796961375608219,0.8933696276593333,0.8805313828058441,0.9875317801439245,0.8513477282157074,0.8389519442979239,0.6937195064686089,0.8722416645926985,0.7296394562856221,0.8770393408563782,0.708898266730668,0.8590069587316362,0.9043528784994849,0.8915623131583852,0.9208149007240269,0.6142114534377914,0.614259854719891,0.6683753516444728,0.8907647779719478,1.1220692769749017,1.3207630308696692,1.3653109348558314,1.1567175993647134,1.2422609927873411,1.4869220190868802,1.348274815146042,1.230457834160882,1.6052715896038514,1.7915903091944692,1.499463486888115,1.502316697146313,1.8168661371292392,1.8677346824425454,1.4607303210898765,1.5036651961088516,1.2368147513815717,1.1905346446309097,1.1130493934264998,0.9593215515380453,1.0101517288464863,0.8477209492128136,0.7630967103217293,0.7565499532269311,0.7682078495205459,0.6605985690175029,0.7365753685266723,0.9480188079921485,0.8469664380135603,0.8611548528960691,0.9612611959638372,1.2769756103015952,1.2094260514112232,1.2218832484049011,1.5017021734261875,1.585924852157306,1.3476010619681638,1.150251576480709,0.7710322730518273,0.663208117743589,1.1757681007438372,1.3652367264543743,1.674771137834754,1.7698262286728277,0.9679749004353597,0.6976898931783094,0.5786773699820358,0.5988965112279422,0.7678386304972351,0.7250454920014836,0.9147942431241053,1.4849377595787605,0.7541509644952569,0.9814056018623574,1.0207295523515412,1.2066000404942114,0.8870345117249597,1.089909204663258,1.2059081618058907,1.575184884829181,2.2745381696249933,2.637797153834419],[1.093523901688217,0.7284977597938568,0.5238299455807325,0.33165133788332807,0.378397930418642,0.4468657950985929,0.2962614884062069,0.40172669524277693,0.35420608227285755,0.2980096486718291,0.31740155739402237,0.4206475476394154,0.31958596100563263,0.31234635127720695,0.42577190814542165,0.35510700158311526,0.3990794115133897,0.459099974414858,0.5772589430805289,0.543556410688302,0.5867736636392799,0.6955596991513768,0.7596866620262898,0.7749913413983683,0.6692404265102646,0.6181684545795629,0.5254272421043704,0.42314015251407294,0.39974424392824337,0.36027620483045414,0.43609367103804,0.40368423026868394,0.48139556412253637,0.4672242016139932,0.3775349007589771,0.39304015117280733,0.3762066971658085,0.4195067662538242,0.4302514555998573,0.4177947468800523,0.6109393124537935,0.6087409666496606,0.5958867728342395,0.5612842212332677,0.9172722586270851,1.1716911225678668,1.1106127696023078,0.6638601534290854,1.0269576371870088,1.4415273289110173,0.7753359114215601,1.0688856048005495,0.8913620657655006,0.789562049268982,1.422677699403625,0.791526431676974,0.8047890918100324,0.8607842856165928,0.726747167736446,1.3743293299599073,0.811344108776777,0.5993854452798211,0.549305811865102,0.851257521137537,0.6755472478786017,0.5263238519279216,0.8065907801021455,0.636034863423044,0.7726176932082938,0.7020067962130779,0.8782250820603466,1.116344054265058,0.8990904483076674,1.0244379015343017,0.6240530626174245,1.1108616106920646,0.5510405251510093,0.50270522764298,0.4611163176362443,0.4691711573223288,0.47784716564924906,0.5655307297396612,1.1155850868087922,0.41685402889129863,0.5090292606008782,0.41745417735441354,0.43603010152037663,0.524278560558588,0.41914127872868906,0.46743656143043794,0.5051865793781058,0.7441317437301581,0.5644732584435413,0.4892627058061914,0.46644569036275013,0.5413127610860771,0.5278656876014879,0.4612315942049954,0.46699948623246773,0.7444207362104991,0.48187408469147436,0.6518651442619493,0.43378640352773984,0.5372406004941622,0.5254515204349182,0.559263162998295,0.8036249458567135,0.5134511303283914,0.545137561694789,0.8526447635314641,0.5055578917269675,0.35236129720030507,0.2988585602372327,0.32723966436583307,0.31232945390966893,0.3485015356584997,0.4232882605878151,0.4462456532430962,0.6201085601905711,0.5229843071407075,0.5252384547546527,0.4412603290454506,0.4097906605126293,0.3036191947107276,0.2951499360138082,0.3678108424469836,0.39970687840402364,0.34945203026391003,0.3824244720571194,0.43457015996435766,0.4286271285743307,0.5017960150823857,0.39129421862820835,0.45959469700634054,0.4046642344801419,0.4983350653846134,0.7354110854379025,0.4073561161498684,0.36874679262674726,0.3775787034289037,0.6392336999253276,0.6689586173670153,0.5249921331029502,0.38246455630343823,0.3991013060898031,0.41935488600428455,0.3504261698442456,0.36621801081253963,0.3180996304795811,0.3993647613433835,0.5197094761911314,0.5831221977419412,0.9644342619296896,1.807039080760465,1.2167562419313562,0.6739651887090796,0.4497212804007749,0.5194116367892251,0.4042805622145825,0.4491337620832971,0.3516978655714782,0.3862521772057215,0.36332697033099276,0.4084557130411771,0.4178138372566637,0.594470837729539,0.5736667317585601,0.8362662817422328,0.8736275339993651,0.827361768720251,0.5544567893527007,0.3735177929475657,0.347189669209401,0.35654307165432336,0.32866422466054707,0.39005775623629946,0.4149390364329646,0.6185806577482807,0.3746131052939605,0.4124856951958206,0.40889873705943314,0.3922285657471125,0.4030583509842937,0.4381102946846853,0.4474713865540773,0.44666713851358075,0.4593010645416752,0.5612594235032792,1.307206585777351,2.143624859774181,2.566658351111648,0.9494755115993043,0.9053493981260765,1.146762326178039,0.647861338501552,0.558339949614124,0.59220251566973,0.501364648908205,0.5094476403492328,0.6098440652219248,0.5278982554225571,0.696830479928668,0.5838569087473195,0.5191226234816556,0.669502646905909,0.7927123009202466,0.5727590373112661,0.6232116503240204,1.0216087642340188,0.8808386784613315,0.784899280823405,1.0241259509601228,1.2630113437265909,0.9746272422145417,1.0438471675396725,0.8814705551654296,1.0898560450682164,0.8664671344926084,0.7017424825440084,0.8015276673332732,0.8600763268435497,1.6858151414139448,0.971119684765486,1.3638053836214514,0.8403290192463345,0.8246812410550021,0.9291024182004908,0.7975841629780664,0.7760198467745947,0.6278054814472399,0.8147630950520339,0.6720995580510366,0.8324797801781695,0.6500494467754423,0.8413570303976272,0.8903591105050632,0.8804092596862558,0.9252520852571012,0.577773188455301,0.5663810549908793,0.6180993831199382,0.8403848653949624,1.0789809236341732,1.287334842900302,1.3387494848081156,1.1011092919429197,1.190705714439542,1.4641413743195086,1.3014836074818195,1.1690572698384707,1.5542279248932487,1.7367630789003823,1.4242620905317247,1.4380668390581588,1.7560503385893766,1.7760524265855895,1.3814196413010844,1.4403064947499917,1.174081659151976,1.1307318770029833,1.0522166574080993,0.9009498974660293,0.9489922883869308,0.7790906763289069,0.6972244138150067,0.6912968526432275,0.7105192422413921,0.6028808268724325,0.6796258562456979,0.9030911061780081,0.8264870589245992,0.8400932360882225,0.9412781906271744,1.2718346020818252,1.2110119889982323,1.2252312357847173,1.513866693680874,1.6020962445500484,1.3343514342944003,1.1474113464783098,0.7633392322710105,0.6405378084922372,1.1681808597057575,1.3568866632103704,1.6712670014663564,1.7965057810328964,0.9862957202226715,0.6852449499111112,0.5362113826995429,0.5259343046182566,0.6920760795989315,0.6526414719470799,0.843027468861414,1.4952375540857945,0.6850286675653599,0.9004670057998733,0.9367542988779132,1.1517697960912834,0.8405385549208896,1.0052601996262165,1.336794315224456,1.7368058151960997,2.3990641279094427,2.8444190593057446],[1.008372317540886,0.6944960490737997,0.5137331762837328,0.44558469818240704,0.4827558789480597,0.44408158754297916,0.3358842712432471,0.42036218692335625,0.4050501409159148,0.34807707349813827,0.3518079239920189,0.4415351339812629,0.3576397808318737,0.37085809748676823,0.46159144886008446,0.40946180290074125,0.46829640259860067,0.5139697277134689,0.6473568317891406,0.6137200638579667,0.6576208428297518,0.729854289062171,0.8228854784333008,0.8674955477651117,0.7243580306719897,0.6824773702824303,0.6046482039655456,0.5068844530307013,0.473842023479532,0.4402182034383639,0.4830567638055314,0.4531771547434928,0.5324865846780391,0.49630376490427025,0.4285062547454366,0.4476687955776744,0.42604037817080026,0.48198680638892494,0.5148966479241138,0.5082716167940021,0.69467340306402,0.6650117298857722,0.6590047923303162,0.6624554591330397,0.9822724194576669,1.2287249213950073,1.1846857458853877,0.7511420125461661,1.068563647824455,1.3949677045454154,0.8178105512309891,1.124169093751461,1.0209997346713175,0.7935133158825945,1.3283690391519691,0.8704795242084169,0.8580657743984476,0.9529651554644604,0.8163424835282157,1.5314707022388605,0.9793090830521898,0.7009934105221768,0.6388023945444276,0.9540856444488724,0.7772946940042802,0.6084873277528755,0.8703045861035265,0.6897815387847355,0.8326744940475425,0.7425044002588059,0.8905532385583992,1.1226029427170414,0.9115181739917377,1.0570784305349032,0.680733652938198,1.1805956724437412,0.6204403485889628,0.5591599067945058,0.5083946072766822,0.5395543814402245,0.5208826396457849,0.5775400298141823,1.1315178927188425,0.4662305898445188,0.57193029190378,0.4500213311728293,0.4725967167238557,0.5392806199390439,0.48359148949931696,0.5122451091729325,0.5621957079013344,0.788609796226766,0.6080652265632097,0.5208515496403762,0.4992428213429803,0.566561699955835,0.5482424743923106,0.4936339525607694,0.49032696944896736,0.7655269920356522,0.480615426402426,0.6296440725735983,0.47237426198926824,0.5354256581052993,0.5143079122192372,0.5645934474617268,0.7609091223114437,0.5250694063699427,0.5449130330160116,0.8252714237698762,0.5094058009699477,0.39788973686315726,0.33899156949880205,0.39491553796493084,0.35989219819499396,0.41786398355878757,0.46922115424009825,0.5448603405476765,0.7236213229438291,0.5970203726093781,0.603025455784289,0.4879508715401226,0.4700967501340314,0.3837099678999784,0.35833463668976256,0.41887312837270024,0.4097511233660498,0.404179204007836,0.412979704664344,0.46313863740704747,0.5305963967364699,0.5574326859154657,0.4967462425990509,0.4964106353950517,0.49310437091873266,0.5460432390313016,0.7088839445364153,0.5156638240826344,0.45169876076090454,0.47598161458782196,0.7234590797260567,0.7686653257806908,0.6187752359690097,0.4803302706134758,0.4921245206529135,0.49122804789064684,0.42133616150340947,0.4242620329927774,0.36938099279210773,0.42295615428027883,0.5321006303375537,0.6203925647521523,0.9607097770242943,1.8796720115281178,1.3085104098055231,0.692456499630678,0.47179696740215676,0.5187344455652015,0.43472818679783837,0.47091132008303344,0.41626226238746317,0.4498585086786534,0.4382090966546325,0.48176375186844944,0.5294247352916651,0.6458066979781286,0.6294192900014098,0.9002036095215358,0.915710050107065,0.8661719779487346,0.617384399734549,0.5030529721894341,0.4543836029669402,0.4195579883668352,0.3721426943328275,0.42474372118389636,0.4756840630531992,0.6558202046560725,0.4140968934904136,0.476303919729372,0.45442937834348696,0.4323649209390293,0.4802576444973847,0.5184045315929758,0.5175455297216002,0.5339672168708395,0.5357483399724038,0.7161582180106737,1.1794423467837658,2.151185080109199,2.491063670708781,1.04364753518987,0.9563785830714322,1.290522759588441,0.7972496386012047,0.6596396833175902,0.6601135870082392,0.655104572642899,0.6409231805067991,0.702641906343836,0.5531169835722315,0.6491614213397165,0.5878813350286646,0.5540840664302769,0.6302381727203696,0.7494675657042591,0.577127676395462,0.6259195969059627,0.9547994048283633,0.8624550957944203,0.7983830844136885,1.002949112389284,1.2230241452661346,0.9990355055230236,1.0833207562777736,0.9371729371715455,1.088631809095091,0.9045339549546226,0.7326317055317159,0.8094859230086583,0.828692409354658,1.6687494990584684,1.0104274528274184,1.3207418210596753,0.812939883370851,0.7736351688800807,0.8569465826828662,0.7476512668748717,0.7639235065136345,0.6261305357265549,0.7875251244637416,0.7339396434198475,0.8963049574279259,0.7102084218211565,0.9234971327370843,1.0316304934337102,1.0308374825311613,1.0854498989022114,0.692334097727915,0.6119552730947386,0.6125825602750018,0.7845503231143087,0.9957760522135981,1.1715470226650273,1.2372211832279543,1.003110229317981,1.0724152971271341,1.3570640467376551,1.1939480279882666,1.070679127751473,1.4383031951907752,1.6243745233594684,1.3278237200218133,1.3330346335197572,1.6426070742012346,1.6758081332348846,1.2993247532446524,1.350084895215264,1.098703844142568,1.0334557417948642,0.9587595976406026,0.8122657178491028,0.8750831679252355,0.729567176098607,0.6624692737704108,0.6814334635313726,0.7188209867103198,0.6549581684266018,0.7474873566801773,0.9690730774398654,0.9270415655410597,0.9751513967988256,1.0747783746471429,1.379455957265146,1.3355244215211373,1.3240689885856907,1.6151620797762476,1.6621038915389297,1.3563750279633262,1.164153549532234,0.8150895434217492,0.6904181990284854,1.1330939025994882,1.361059646770851,1.7145713904360815,1.8874303082909059,1.10356941455593,0.7754107789537428,0.6397214442084039,0.5463105015925398,0.6886430222484863,0.6364049582471643,0.7971659360839134,1.4935498720059979,0.6887157347209424,0.8770122190360518,0.8999522798775229,1.0931780004192446,0.8423043877302813,0.996262172486287,1.4313460170785408,1.8436051178589177,2.437856592229455,2.95391083129231],[1.0593582165173876,0.6965073522411588,0.5380036267046067,0.5047364552992902,0.49720942967972687,0.462075232764696,0.37671803139080584,0.4244684521122742,0.392579327867857,0.34746459180314887,0.3759520634492721,0.45826062506168436,0.3678751178858083,0.37444557364471126,0.47041868075969756,0.4275020870706266,0.48672954796900747,0.5444427023309417,0.6827959438399285,0.6477457584472073,0.7013247179538057,0.7693402130367416,0.8553246432025834,0.89214217399572,0.7662583538956874,0.7318335581389218,0.638483215123945,0.5404814846438751,0.5014153803773146,0.4502384617449994,0.48297865772136217,0.46320911856212993,0.5483318909630747,0.5094106842295099,0.43692035411540187,0.45892307118831094,0.4480994585483638,0.5171112102472075,0.5420902164698046,0.5270483985812244,0.7122962546293866,0.7008541731054128,0.6954978203123554,0.67697358052362,0.9598627235017044,1.1994126033143866,1.1246599464679516,0.7613670571959189,1.0923305015252511,1.4126880373902284,0.8301044716351649,1.1047708527606743,1.0331438300531022,0.8468205491490165,1.3855494042877403,0.8685076437342671,0.8842240049924767,0.9136302081967009,0.7975458668934617,1.4844063227670328,0.9807491700944141,0.7311540653159346,0.6634923506554481,0.989137477812211,0.7920207589482929,0.6344404229636443,0.8946311320156592,0.7194876218838508,0.8626875503029865,0.7645275862895408,0.934450681310549,1.1492093741568226,0.9372468418816123,1.076501796032867,0.6994179880376783,1.188273113117551,0.6473309965623226,0.5825629989430425,0.5374299759330491,0.5529206173747229,0.5442173838607484,0.6010511731333388,1.1666235856092684,0.5021575956315905,0.6006488389738649,0.4968840783150761,0.5116802977685431,0.5482029241924291,0.4999747781652214,0.5304844728203562,0.5815683001962343,0.7804842526432348,0.6097847704872973,0.535816408717016,0.5086335614260873,0.5786939149422974,0.5455795607531744,0.5119414116224974,0.5185386760630659,0.8097979918050565,0.5060395174052501,0.6482532884470329,0.4671626783088063,0.5335225968613788,0.5055422443505551,0.5652777298461573,0.7362790417810986,0.5053243695152858,0.5196831102771277,0.8116973949013211,0.49005279763550286,0.40220558910733106,0.369929574277723,0.40891350558522027,0.3881353842126549,0.4750405427051788,0.5121715881722386,0.5883572187230395,0.7592160750673271,0.650049854141898,0.6491312073014943,0.5487415662234281,0.5299937452465071,0.42289813032366785,0.3867994961303443,0.4331375821895662,0.42283006768470593,0.40495793326218676,0.41366094166307854,0.4704326525164237,0.5114049415519658,0.5333729803038209,0.4835393894064851,0.5141057737597832,0.5072627193349128,0.562999882453575,0.7472227709581557,0.5305036374208937,0.4833034677153991,0.5150465798502891,0.756581881730406,0.7921644445556917,0.6541610307755059,0.5338277579131995,0.5349188328053601,0.5088335315069545,0.44884996536429944,0.42502007750725407,0.3898050187037952,0.4342567645420072,0.5225025226966569,0.6455026027893745,1.0048228961545296,1.974318748536298,1.3872039043011017,0.724670658773456,0.480102042029821,0.5270411282689313,0.44694192446309916,0.4683805096791303,0.41653852840249284,0.4705477112579941,0.4759682145294982,0.5127046217725579,0.5576032167700309,0.678889007531996,0.6646100447451833,0.9006369084160954,0.9149418600728007,0.8894987120330429,0.6527314932988856,0.5294385322638652,0.48922386420260505,0.43433300954991705,0.39645480721036175,0.4308960802066479,0.46731319121860343,0.6580664281915699,0.4371167194513534,0.49120016342473455,0.47094565090130003,0.44477913109815675,0.4825933895783436,0.5256313905373078,0.5294918656740697,0.5521711854848085,0.5717207459094855,0.7370060064735078,1.1780872675974379,2.129988655524529,2.538216849202631,1.0806797565161599,0.9563308362465995,1.2411498946309194,0.7813639547966817,0.6267409802478269,0.6392715744835951,0.6023041419868135,0.5950257559595314,0.6832211270718315,0.5382150883068542,0.6627255845633158,0.5795136408472853,0.5304485951848203,0.6191921405530543,0.7184838389966388,0.5785476659819963,0.592437186003344,0.903958159384642,0.7848632595874094,0.7292242054398,0.8998912743462494,1.0857959777440875,0.9026858991785878,0.9541203679132522,0.8474717990943093,0.9982195062593495,0.8466255264765051,0.6939772394522749,0.7399926786697715,0.7761870493632598,1.7263713249583066,0.920915515031015,1.3560973756389259,0.811564405021646,0.7850585626648293,0.8871983973744239,0.7882057449723867,0.7376991149959342,0.6138976742100832,0.7796817692052848,0.6891129184384795,0.8407266917959904,0.659522729525537,0.8931974025080648,0.9017716401330403,0.9404512746166545,0.9971926657245868,0.6328776606159612,0.6066389974894869,0.6367755186937283,0.8266800734594191,1.0292711812085482,1.230315459566873,1.281658897581644,1.0302335337615627,1.1053611901229503,1.3943546506624322,1.2176603821590704,1.061860573115263,1.4111712621155241,1.5797081039152672,1.2608384099536722,1.2739407095832458,1.561122260679457,1.5531637000892693,1.1997437783711282,1.2637128252549596,1.032131666394301,0.9977965920093642,0.9501977856770729,0.8156166751145408,0.8497544376181891,0.7124790396269137,0.6675575681750728,0.6550591146330801,0.6912784180696053,0.6274341676016076,0.6807872124658599,0.8947522287306622,0.8786578526057153,0.8828805331728463,0.9631568133890502,1.2804605993891296,1.2412164297845634,1.2645822829699125,1.529156694350923,1.6199241865933938,1.3070140277208762,1.1446677972145147,0.7861627189034345,0.6783238408205869,1.1865224597313246,1.3445010536733917,1.6464629305018732,1.8202610248807467,1.0707463361273863,0.7746801532776706,0.6109663149712483,0.5496046416771997,0.6467023266187126,0.6133602821646386,0.7756070832328869,1.4823967479545461,0.6581782014444179,0.8249288220506534,0.8509406967325501,1.0486554657154927,0.8468662554346796,1.0131534417349348,1.628883944606185,2.083439229060564,2.6703843215866128,3.3175471581718834],[1.07901982172325,0.7238751446187613,0.5562163510787931,0.5669041955258409,0.6305449098504539,0.509217445341508,0.5015637240459146,0.50869692580828,0.5287708595077251,0.5575370979551926,0.5946272038946914,0.605575121170511,0.5909155295653141,0.6385946957416255,0.6904698939027005,0.6727771897283481,0.7754861023772913,0.8271942332663178,1.0007873355126682,0.9483414848589965,1.0127378481169407,1.0160906041200224,1.1324179818152884,1.1930464359140065,1.0586342932582715,1.0240854111686286,0.9365655878470402,0.870060757953901,0.7916669599596532,0.7132734637081438,0.7309588839743737,0.6682335330627489,0.7549984107233155,0.7496887243790221,0.6840980287371539,0.740276370480023,0.6816153760912183,0.7921575436863291,0.8263980301614489,0.8136000623832977,0.9785242855691862,0.9588250010166842,0.9454402143130285,0.9887378498484148,1.2477192779799569,1.4816586433737362,1.426487686809014,1.0458696906151834,1.2754837315564924,1.4944966372310846,1.0908583822044684,1.344275213838416,1.2544084367193715,1.039818207203893,1.361548260324727,1.1434857670666543,1.1141606180199968,1.1109583224815016,1.0803259357107318,1.8059018316713789,1.3613595006622108,1.0981364664765885,0.9979247019773191,1.304201841203571,1.114798132946494,0.9587054433246875,1.177555025584177,0.9855531059789433,1.1444823605801873,1.0170681421366137,1.1431118185520412,1.349870575897492,1.144236817930023,1.2933664110971366,0.963539001962594,1.380453364520199,0.9204152371793091,0.8632394053925653,0.8147843205347068,0.8406207673403182,0.7876911698890058,0.8147562344971374,1.317377367560836,0.7052893800524761,0.8189432913695124,0.725627767633133,0.7645663017005879,0.7791132474140274,0.797015127161683,0.8008358697504928,0.83970840945423,0.9999193111855282,0.8448461308228633,0.7705353916188031,0.7272993625742528,0.7818802938459981,0.7551519502209918,0.686822190379268,0.665694422990667,0.9053476169060398,0.648919787012672,0.7289070319845915,0.6195998905100112,0.6221724590353456,0.6345265639856983,0.6745229512888999,0.7799937864482156,0.620490898962601,0.6117799350047185,0.8360317656520446,0.5784047464274324,0.5670329202562481,0.5361041541419593,0.6496818296928323,0.6498685921889547,0.790612227755703,0.8291159816662501,0.9723791331641559,1.138713455657459,0.9947695999023523,1.0060251541612102,0.8593092545760477,0.8683503435459997,0.7495779925885487,0.6274278997185114,0.6887209176493052,0.5199535099574175,0.5985254189713759,0.5807634906096419,0.6267791347833032,0.7165354754618801,0.7188228101146481,0.7183764732949901,0.6642479842060993,0.7258646537374454,0.7408155701528328,0.8419751957475773,0.8091991050754377,0.8119036321429763,0.8535409908554635,1.0730409596777628,1.1372644155301421,1.0120025839377937,0.8903540408605642,0.8736743560190704,0.8034117934661049,0.7543364097014615,0.6680689275921312,0.5830039957827785,0.568836801645897,0.5962357660021287,0.6978441589172192,1.0201674873109485,1.9897917640321656,1.4327286493699425,0.7761116546952037,0.6024317126954833,0.604598886487095,0.600280238789969,0.5773192129620335,0.6501940179694005,0.7095453688786832,0.7818285357096411,0.8057129773536902,0.8736601726736769,0.9084240807274607,0.8837502803030673,1.0876710755037087,1.0817979910751958,1.0505856603311812,0.8601433224121662,0.8195434140770245,0.7768882320046453,0.6903893078181652,0.6279850755700818,0.6055147581575653,0.6650735859622768,0.7961717295245697,0.6438024429871926,0.6915703430347531,0.7020146763654843,0.6323091134481097,0.6973499135941993,0.7654915078226854,0.7753985509764165,0.8414631282810687,0.896177380176951,1.0550121018884246,1.245862462381775,2.149261433442529,2.43423967176951,1.2827362271933633,1.103883121666779,1.492375535722935,1.0244256414126711,0.8390444262316332,0.8289046786771245,0.8106263783364479,0.7641440774362738,0.8015750588141837,0.6169256889261742,0.6855119273621572,0.6362256774978599,0.6043477530469298,0.6543618167180996,0.7541878312211292,0.616703885949458,0.6432830704725182,0.9628364767708987,0.8527225252759094,0.8003010081824737,1.006550735262424,1.207519749705272,0.9871807860319683,1.072696867209892,0.9343019383800224,1.0837340005283758,0.9248955556348828,0.7414689829532735,0.8146984807037222,0.84006744832962,1.6842978298525653,0.9809714602588453,1.3685796448533107,0.8295160833747912,0.7927162866295846,0.8745093448628338,0.7682267229703001,0.7706442361359322,0.644922570917644,0.8090632878838454,0.7647742204877208,0.9234171136457183,0.7677113324426763,1.009503032587303,1.0839442949814126,1.106932395965702,1.2007043786503468,0.7831918076446532,0.7153486817102543,0.6911720872778208,0.8250172084635667,1.0277165575523088,1.2223565553529927,1.2824769116371675,1.0313696527016256,1.1172605605043937,1.4237657685495766,1.2343261903664113,1.091157512106682,1.476130004152074,1.658041717716671,1.3365774005332018,1.3651777661072877,1.6975602857624266,1.6994087527099255,1.3223922754301032,1.3960655597668596,1.1267158947207652,1.068920417660293,0.983654010814393,0.8397073340671112,0.902173256333505,0.7486067071072852,0.6876145423478106,0.6914459814670544,0.728212257321036,0.6868438405299679,0.7588605170317531,0.9724857360107703,0.9493669801061544,1.0173338299197812,1.1083788475501686,1.4106405589752111,1.3778888167855887,1.364495184830679,1.6644582746108891,1.7110412309949283,1.3833403909057196,1.2018742732398329,0.8426111281471733,0.7218018662044454,1.1900500230430342,1.4185766688420127,1.7736819172891605,1.9668883692482229,1.1851632376600687,0.8908624435469379,0.7516201466181502,0.6547475649164001,0.6830084681629556,0.6567995456977336,0.8118224420282977,1.4854131331290672,0.7013731427122297,0.8639808815853403,0.8822137473418121,1.0662529491033572,0.8557718067066052,1.0064486676622753,1.5182029849592968,1.9732939897462984,2.629367193620574,3.2316464796990685],[1.1696736386641455,0.7807515954032649,0.5816598862144434,0.381954509890869,0.4215793558281439,0.4819794092071714,0.3410480434626685,0.4572750083156567,0.40313720162469474,0.3327084310338458,0.3752528671469418,0.470530774435435,0.36206355206016244,0.35726885800904934,0.45943247294951123,0.40541789606098566,0.4654999080970638,0.5304797204241579,0.6703767911313969,0.6209251293511987,0.6803514443921072,0.7328075545400541,0.8272561162600494,0.8741618464949346,0.7356544437627243,0.6972077751402737,0.5932646930739427,0.49574016160667855,0.46638350793903066,0.4211215441594321,0.48958931331431305,0.45179982933186397,0.5614577811403567,0.5316949485527983,0.4412514942572181,0.45421570172800113,0.42312368551468293,0.4757044531379231,0.49634384368137724,0.4783054047328667,0.6607779027047755,0.6559381858154038,0.6454746161907313,0.6287361269195746,0.9535576764208185,1.2045584570049652,1.1396895282340571,0.7162290422840789,1.0421456517368115,1.3909655655592508,0.7777905350482719,1.087987529022708,0.9836494640466753,0.7996269909063001,1.3634045142946167,0.8455084631859039,0.8656731425702985,0.8626117028739836,0.7795584958538537,1.4984739593533496,0.9823174504021066,0.735523550271926,0.6770253093838567,1.0142222882889544,0.7905413611323403,0.6236061577228628,0.902238211997785,0.732958727733398,0.8775151241130076,0.7890992990181172,0.9340617764712555,1.1794549372111562,0.9711270756575624,1.1053180540598682,0.7178975556154102,1.2205851865058128,0.6457013970750268,0.6001472367694708,0.5338677170320161,0.5396759798218809,0.5330473930852547,0.579988335152738,1.1562881118304185,0.4546565352493642,0.5453038325352539,0.43624680890123,0.47862654993851067,0.555573400926722,0.4864065805680306,0.5430870555887711,0.5877148938763983,0.8022996872468194,0.6330677732208546,0.560773495379189,0.5254161390561515,0.5972968994422527,0.5494542752658585,0.5284100751007023,0.5438819203056752,0.825129151856423,0.5427368038383124,0.7003622275427919,0.49405470077732644,0.5674572384561892,0.5339318533070914,0.5818057013492113,0.8099870032936849,0.5371818529693546,0.5728727924271444,0.8745301439330244,0.527083070276341,0.38095564333867615,0.3386947539186163,0.3663276069595376,0.34665399397423474,0.3949771850829757,0.45197540524632823,0.5346431567961778,0.752361120394038,0.6260760150071358,0.6252974149300744,0.5100700551838677,0.45817653280638587,0.35840118771013096,0.3390722438864815,0.393449030761751,0.4039761831701683,0.3628882129406999,0.3832824653506828,0.4414701923595363,0.44653076888598614,0.49402438273530475,0.39521234532682836,0.46598253718187094,0.42351692015890996,0.4994018034101978,0.7107925951511569,0.4475190392309544,0.41023972884650683,0.4185085903303338,0.6956069517292485,0.7424304077399541,0.6060274257028264,0.4548202575444852,0.46665481895387356,0.46098933068578646,0.38813654475202514,0.3991058359906396,0.3524536224317459,0.4403046408773516,0.5497563166779151,0.6530923890367232,1.0516472688944702,1.9422477513628673,1.3288947776041968,0.7614954228854243,0.5155520746817137,0.5651144295568141,0.45109876036420654,0.47009519248062753,0.36908072438615386,0.42511873750234624,0.39525211217369477,0.4487982371170572,0.4616537038485205,0.6070281954522952,0.5785943037366655,0.8525114427865613,0.8765818010688666,0.8288870535114327,0.5669543271513287,0.4321901833895559,0.39928205957745516,0.3651956951065548,0.34403467128003445,0.41570491590094655,0.45959408678115615,0.6565945267655809,0.3997401797820026,0.45414527754444917,0.41563011426558505,0.39831350358643935,0.41848080879971306,0.45690114197628934,0.45890433683462895,0.47513391879152495,0.4982287153656669,0.6293906243111633,1.2102167103189718,2.125946348343321,2.52112508672443,1.006646981581345,0.9003025338303944,1.199296950019603,0.7024041112477012,0.566009826595115,0.5934763248548446,0.5240755706755134,0.522815088376335,0.60879448836119,0.5342143176371147,0.7150964986768491,0.5899825976584747,0.527496060066262,0.7069817710545868,0.8205211953147881,0.5940122733940307,0.6630584724697627,1.0742105755732585,0.912664649028311,0.8364991664263588,1.0894895390719934,1.306587064929245,1.024217749131001,1.109451565462472,0.9258814222323571,1.1469041990637152,0.9146413260685974,0.7517966159301885,0.8600609171207325,0.9449878798547395,1.7207373225785974,0.9984217341275896,1.4058208246998127,0.8738929769317376,0.8725363930816613,0.9635955476069925,0.837440811645206,0.8071512961244397,0.6483855487250288,0.8352801112198259,0.6816254177059693,0.8307913011661447,0.6547338864017006,0.8413113565788363,0.9072442882603658,0.9014077791203565,0.9676847550216584,0.5819208801019734,0.5653089736152457,0.6294930561480712,0.8766817352597098,1.1266413304336995,1.3564644110187194,1.3972024494297417,1.13558092066161,1.2559562133920381,1.5543945852181307,1.352416990200473,1.2189673495967135,1.634699670312727,1.8128077960780589,1.4814421599897831,1.5251320909629378,1.866217945193839,1.85229897394908,1.4637612556264334,1.5471937640152866,1.2653538080006796,1.2210403986633813,1.117886547598813,0.9678605708362761,1.0297944594474002,0.8348759376862012,0.7401556617244329,0.7418690664069858,0.7575098151673867,0.6317762521143347,0.7091323756233657,0.9442756949435506,0.8497056685625751,0.8675898000539731,0.9732478485395131,1.3085888917634279,1.2482534506397374,1.2530878632832148,1.5534112048138922,1.6346858668953899,1.371977324050406,1.1727163376449385,0.7897823174678721,0.6735219694976988,1.1653845254739184,1.3662684976688888,1.6904474270951175,1.8170703038462672,1.0003067940065788,0.6981153978631247,0.5491839866349604,0.5289437324595697,0.6928829442879253,0.67514302495159,0.871712195466174,1.4849184557760537,0.7017981565138682,0.9208155548483824,0.9481079156240003,1.1571407463255339,0.861919461263502,1.0289232216584816,1.3808371647169488,1.7640151534115387,2.514402857661021,3.014666861496705],[1.085756610240826,0.7683960069138142,0.5512861164476544,0.38726881409339203,0.42991506293385684,0.4570950920204156,0.34187037753009125,0.41475952589989185,0.40304052137290736,0.3772721590015115,0.40757839729130346,0.4843812528537778,0.39938700595665333,0.43119759979932437,0.5252714262441381,0.4748496020352212,0.5146696777592557,0.5937482334653056,0.7179633701521025,0.6841928475286063,0.7414473460432768,0.805344865476937,0.9080124463752222,0.9325098841441317,0.8106611896593722,0.7624206516039015,0.6687842932445113,0.5627082825140178,0.5297192951987431,0.47828374813092367,0.5626847287291167,0.503100015518473,0.5850543054284026,0.589621664292032,0.5022200049246389,0.5156746744667295,0.4691622242545528,0.5478057566132071,0.5532977552592033,0.5502404204334227,0.7305573303176626,0.7348620404821767,0.7376733671883152,0.7074115193694162,1.0094274660506364,1.2509458512394387,1.2294813970258522,0.8036900441517693,1.1063214578222396,1.4693141321536025,0.8766335090046258,1.1226485162776532,1.0340941942385022,0.8398707432618987,1.3916389125885593,0.9199989291337461,0.9004559249315525,0.9632257911352307,0.8203493135167705,1.5388614133274356,0.9960008067216027,0.7808788178003581,0.7139936847749451,1.0191441056537844,0.8423680438719502,0.685535443888876,0.9314185319009314,0.7539726744524745,0.8900233716404987,0.8195706854345586,0.9504547880123955,1.2190089099708044,0.9932774976896319,1.1181595188818312,0.7680769891362803,1.2207091738418605,0.7090589604188461,0.6650429346220859,0.5995659934781138,0.5767287840149439,0.5828563295750453,0.6343320677875544,1.1280941399533877,0.4774665759117852,0.5941994044368043,0.5069395638889094,0.5489972539476285,0.5893899388790881,0.5519128416543735,0.5927378341176136,0.6454247451890065,0.8489498316398032,0.7058327462701376,0.6260572526241132,0.5924578291661295,0.6601069160413218,0.6300322548989848,0.5522399406855089,0.5312117062881434,0.8113525246530879,0.5182101283547166,0.6767329897833814,0.47373842553866236,0.5365786253018289,0.511370706164966,0.5594467922162417,0.7799914092691763,0.5110620958105975,0.5451958329650798,0.8482745051825967,0.5112605623810422,0.3844137577706714,0.3567559090271661,0.40855524996735515,0.40825246985054636,0.4636219762131932,0.5234082795011653,0.6211852541457192,0.805845169524395,0.6722685262759172,0.6899809574498362,0.5624376152353441,0.5408695866747998,0.4271527063920056,0.3772326839829615,0.4381159938361268,0.40518118511838697,0.38932307129068944,0.4031496341376119,0.4557297517827754,0.49668948833976106,0.5429783853846003,0.47284860678558227,0.4987527337385572,0.47885540222102524,0.5590764965960426,0.7359344910798731,0.5199004170304452,0.4975857272596407,0.532598683322149,0.8032633166432529,0.8428563890909734,0.6866321220134308,0.5423585525932044,0.5322730650735619,0.5261542170157988,0.4653024591436322,0.4666652782933881,0.38061048049735374,0.43679138560067843,0.5264822756898303,0.6204272494514284,0.9986483789447422,1.8774477388398845,1.2940820389044356,0.7154793899431795,0.49095119004598015,0.5368349319283355,0.44013392220816183,0.471606591553042,0.42193503954955713,0.4836204241434764,0.4789783184106282,0.5225343580556103,0.558982836718376,0.7041636002849958,0.6668164620875355,0.940792531642449,0.9471764355401766,0.8883514053686271,0.6273293659833885,0.5028987404340706,0.4606286796539833,0.43601067359155815,0.3965872546128889,0.4274007978418153,0.453770960211685,0.6384527721242714,0.4299563445470472,0.46062961985471607,0.4671656306580224,0.4232537633159701,0.45379920540689783,0.5028184886445701,0.5223718818855619,0.5347899813911936,0.5745644456600423,0.7326744368604761,1.2481575959853128,2.201487986878629,2.554410236928359,1.0748368045135563,0.9967936702258072,1.2662822062398928,0.7679900549265756,0.6661911762551743,0.6669231369493823,0.600858672954147,0.5844188312888632,0.6587577236860521,0.5454403889702077,0.689545025377067,0.5930194695633358,0.550292551257081,0.6908040255387479,0.8181899415346773,0.599348165353289,0.6773631920997601,1.0766177604338467,0.9580750731634565,0.8766592543337488,1.1416352081679524,1.3809954164874434,1.0850304718415342,1.197265061833934,1.0020146336773676,1.2202566120517702,0.9446342035975394,0.7743748550943719,0.9060735045366379,0.9282592138388466,1.650792653631596,1.052936618243104,1.4009288971329443,0.8865276992200578,0.8413889893291792,0.9121811172371939,0.7814246443237967,0.8078966615694235,0.6484407673934064,0.8144958509319313,0.7264074668723999,0.8834670298874031,0.7014764589172279,0.8806774348579028,1.0265898417197918,0.9870146931546213,1.0368425866401143,0.6537475628420512,0.5797132565516593,0.6127996772570364,0.8180245021327203,1.0470968533656149,1.2703473998876265,1.3103264629895224,1.0766329513298918,1.1872170153559385,1.464523680546719,1.2891264583545292,1.1764373845080485,1.5848954531481987,1.7735103371991858,1.4682547134898805,1.4994115637178642,1.8422479413469495,1.8696565002619672,1.4847758398587114,1.551991692227665,1.261503415395595,1.1900417372651235,1.081331220598841,0.9267049820582804,1.0087598407755747,0.8310920424578417,0.7319643739456264,0.7535800158158561,0.7743046517143014,0.657867455158291,0.747684367660045,0.9795376520340318,0.8787143321981287,0.9314084309838477,1.048319857770975,1.3538632146834688,1.2980152488832286,1.280558119009892,1.6076219372904934,1.639181604673648,1.3755031493402505,1.1423648580610668,0.7950204048266434,0.6869850738344003,1.0822781310869785,1.32730289001326,1.6841481348686047,1.8360413769600523,1.0330862944396786,0.7131117426608415,0.5855783480792838,0.5360183013819698,0.7185790617473731,0.6557483794464456,0.8511296170486271,1.4843370722206275,0.6975281064926552,0.9322626776257783,0.9524301345793235,1.1436041060156121,0.8521729555933907,1.040380025729092,1.3128317727517056,1.7075655012805429,2.4206015006193304,2.897467825993853],[1.1428537662487213,0.8576356644040392,0.6705746943721542,0.3839831706949056,0.4503530187004945,0.5380448289673091,0.3982792251325468,0.48416393648835804,0.4446271358391441,0.39446215259558215,0.39854316854714983,0.4941128526631613,0.40401188158144435,0.390671431604492,0.48401167114165106,0.42280939039483467,0.45949603807198486,0.5055750909800163,0.6087684989116104,0.5779957666405575,0.6105903027466139,0.7198201029530661,0.7734837154237634,0.7773365153136105,0.7038722179444562,0.6426128952210005,0.5742102310287528,0.46965765663219927,0.45240618758179324,0.4255753661924049,0.4877931601952213,0.47065381575844845,0.5311973230960264,0.5072558842357339,0.44132950714316227,0.449410836452295,0.4479665218096817,0.47918200181020304,0.4851637520861584,0.48440929255193366,0.6556083344763205,0.6506210993122271,0.633343530971023,0.6098631095654138,0.9378292185782512,1.1975259335879118,1.14196140082904,0.7051558160288437,1.0493676930286389,1.4798907683799973,0.8274786933881573,1.104249480167038,0.9108762974706678,0.8138645468295582,1.471704776495687,0.8095080294844544,0.8255162460808906,0.8889637025676838,0.7581926250323696,1.3905051957920036,0.8220676043772698,0.6364555252897884,0.5868741065409926,0.8510764114637913,0.7075047343601818,0.5614182588598964,0.8049266377088174,0.6605362493958794,0.7851087960760141,0.7286409665907644,0.8885804378668674,1.127789726106746,0.916302972582978,1.039302286604491,0.6502859314540841,1.1247281007060819,0.5861217690679648,0.5405044181004866,0.5124212066449724,0.5120024382246525,0.5274853445914806,0.613797375027721,1.1190131414719426,0.48027336695042694,0.564859127420048,0.4948956334047726,0.4902291253408133,0.5830926296562475,0.4704168901521794,0.5198898719793014,0.5431553328912204,0.7690953041315594,0.590314692515191,0.5186064371406838,0.5050358783039806,0.5663525494463661,0.555266187168177,0.512588120432447,0.5303265078563238,0.8113045113394546,0.5629052010066556,0.7416928105637189,0.5065089761599723,0.6292348892281151,0.6152502286727298,0.6370459581054615,0.8891588685740485,0.6252668734331776,0.6528462207690058,0.9040725401099959,0.6047430428484781,0.4507498095386751,0.4053971333193206,0.42768564585692265,0.4046491196104163,0.42291587862859636,0.48062859246197975,0.5048055720339112,0.668154932982494,0.5646255006604941,0.5715159306015223,0.4936600845222047,0.4737655216784566,0.3893586208144741,0.39147342876792185,0.4474234972516147,0.5088547447706905,0.4624466310144051,0.5060909102312355,0.5315116998837828,0.5370732515059852,0.5942507513449617,0.5035265206511597,0.5525491705793084,0.5035336979527835,0.6057812669443446,0.8153919846984523,0.5050953388503686,0.43612856876824213,0.4470381556418875,0.6672862275941289,0.7034652685451447,0.5635472091519755,0.4476518745642298,0.45648555903564914,0.4806803909950019,0.4321949115351283,0.45451550218257475,0.42214178294948956,0.4880650023097132,0.5864474549539678,0.6424107757730112,1.0261767407721518,1.7772109400744052,1.2028752474455604,0.7408743076032427,0.5284525621350765,0.592402054833088,0.4857175342836538,0.5407031038583765,0.4439892109589043,0.46906302387914206,0.44870352271988573,0.48598572951737007,0.4977149693177705,0.6507376116632851,0.6632712671155344,0.9414993863292653,0.9743598542693377,0.9163431817454961,0.6400611376052034,0.4820624149379783,0.44825030417975853,0.4484696635088228,0.4248454502654755,0.48339494485194184,0.47684952682692605,0.6730492841154967,0.4529579015247974,0.4995922253665104,0.4809469234714183,0.49082668552261216,0.49317776860690377,0.5319271153665233,0.5336405408786011,0.5089698496112481,0.5067410715328863,0.5978461999536512,1.4039566086450213,2.214415757968903,2.594046632978498,1.0093599177253654,1.018408196884373,1.1803565398202367,0.726582100732519,0.6849022271170706,0.6936413024590242,0.6165046610963765,0.6160618590807084,0.6778641322119014,0.6496263025398723,0.8071633288753259,0.7012995988905385,0.6445651858686272,0.7976266281387449,0.9225604364366685,0.6843094128662545,0.754451710185779,1.1711543624886616,1.0280914052413352,0.9198247067902843,1.1957808314298002,1.454852686209511,1.1050897224736358,1.193481553945418,0.9839536513650872,1.2290366730755085,0.9588024220463912,0.8034286253409672,0.9327562587839126,0.9838152601505098,1.6537790666543488,1.098493978353288,1.4585058418653511,0.9691394435377249,0.9416273720394365,1.0322456410716787,0.9010097700052482,0.9125371748122995,0.755843061415035,0.9131799323754646,0.7923118779549349,0.9308871081770909,0.7794765797733724,0.9194418053234832,1.0264828020577281,0.9834031071486218,1.0187361118217295,0.6972799397144227,0.6447072256363761,0.7076034609725368,0.9192721080544921,1.1596173874020708,1.3855811798534567,1.4042585826883653,1.1948803368079142,1.3111076772577641,1.5616756377760517,1.4020804289335358,1.2972136726299364,1.697929043420783,1.8832618152074623,1.5739364708500092,1.6022565742464145,1.9470592633912798,1.981937101079969,1.563984020806184,1.6213248976770707,1.332735028642259,1.2845315761796854,1.193787853532709,1.040951853175195,1.0907966416686516,0.9140624582310013,0.8238592069990673,0.8158812274866956,0.8205871330327653,0.714152548179892,0.7922067324203329,0.9816508536681381,0.9054795045092761,0.9448856670605348,1.0546257433064363,1.3655915809055024,1.2913496597310736,1.2908605555635557,1.5808939661779249,1.6532725744674626,1.436605486668735,1.20501831204937,0.8296326201275326,0.7213434623965682,1.1991164774114098,1.4167734712299938,1.7439139924477098,1.8332480276579664,1.0278401139946813,0.7387465259660589,0.6297060289104153,0.619415303414151,0.813678662059751,0.7659848274548947,0.9646625063515938,1.5367422643184099,0.7865092293756927,1.0206318558778893,1.079533728963161,1.2455155626312324,0.9126839877036603,1.1385982486058466,1.2443221747283728,1.5419419536848822,2.381306704333047,2.7912533830210604],[0.9391531233629784,0.7440427371294069,0.5899995513691993,0.4174003308905107,0.46476778631250665,0.4875896049060396,0.33702589540343564,0.4132379759183786,0.4162724923602978,0.32971871840819156,0.34786926839008786,0.43335695771083765,0.35049976583021336,0.35194896727819686,0.42756023273291416,0.3672975844797362,0.4136849743795301,0.4683477510361081,0.5835963168652404,0.5538508131217543,0.5951616906075888,0.7108218626730212,0.7970728099663081,0.7796646785569322,0.6972072276427308,0.6235323163206195,0.5517953481753598,0.4429808958475638,0.407811980263494,0.378362582996896,0.4460094858447171,0.41906646737415115,0.4605940305955845,0.4537923403121619,0.3812694335969058,0.4014697182851537,0.3791841901836941,0.44525377633816926,0.4591284972384076,0.4669475582371884,0.6536609520436872,0.6300851136210667,0.6200404104572051,0.6143044792678491,0.9707225714798947,1.2434509336206392,1.210092753974139,0.7224446432902585,1.0501034905575761,1.4733162435628102,0.8477236813540105,1.1263757918424417,0.9467248784603092,0.7877369256680206,1.383586899187534,0.839390538151546,0.8093475988035169,0.9528164907072205,0.7650968185713243,1.456542450078042,0.8172104453250857,0.5962067362971945,0.5313505005901067,0.8308943877270425,0.7027197919085286,0.5437167401251789,0.78713775404546,0.6155234458577653,0.7603270890519734,0.6958542069625965,0.8439922722955218,1.0886350711580184,0.8701301832889291,0.9994147971163684,0.6275468088980262,1.1061556560445005,0.5452344558466321,0.49823120484247685,0.4600830509734196,0.48989715003741496,0.46393423693293895,0.5736615278751852,1.0702067482027553,0.4386201239054666,0.5496431540963979,0.42176881076601963,0.43643175654338623,0.5328438401272705,0.43131373169879883,0.4772097161168718,0.504388648300244,0.7363856302804954,0.5736553928001514,0.47774140175553204,0.46326790863586476,0.5428470640649681,0.5432135268437172,0.45620672037413795,0.4614436314269519,0.7186740920784008,0.4702956074029449,0.6255866757457261,0.4488158258204448,0.5412830889922474,0.5480540848669475,0.5740481560943863,0.7851606952665707,0.5690246551905095,0.5939716149966457,0.8597503452524257,0.5624112569082244,0.4090118971680119,0.3453352539286196,0.37798699308571126,0.35958410707959965,0.3799699970463309,0.437865412829077,0.48148489660242816,0.6598255288679576,0.5302857800719142,0.5538886148980741,0.4514878250686094,0.44399950747578965,0.35340700287897364,0.3484311789371946,0.40257002058276603,0.4417686900902097,0.41313173887003346,0.4550996002938937,0.4848695965194317,0.5544545166001682,0.6027127350153552,0.5007944286027639,0.5025445451132824,0.4742189558260971,0.5464170324541359,0.713841513723335,0.48637220133094883,0.3959453157322808,0.42398983437354737,0.6589909869518012,0.7157409697357652,0.5509329269409237,0.43281849880765316,0.44055820187156813,0.44975485775345037,0.39934938046338314,0.3991295779454999,0.3564942073130054,0.4149031824376752,0.533092375960557,0.5817862454779745,0.8977391665025329,1.7077171213353808,1.181299501818885,0.6381625684612411,0.45143662881693736,0.5087055131582779,0.42547896134318575,0.4680625709027122,0.4081479237903016,0.42092722620881245,0.41148303651260865,0.4555593603293951,0.4776528450760595,0.6210887365903613,0.6424876846159386,0.9392491804499816,0.9438321458452786,0.8768877022359215,0.6038604296102226,0.44575705731389187,0.4063211303816398,0.39314576829279463,0.3686855676917896,0.4217836305910689,0.45368291200459193,0.612745064013008,0.40973322652351596,0.43987854484818856,0.41907938979147824,0.4268624799236011,0.4703143204521057,0.5201858801796144,0.5025403475602866,0.4939326685063448,0.48188396930273714,0.6521959503946392,1.30832410633973,2.252842813272143,2.555495875416418,1.0714896431846859,1.0098152252365642,1.259716818104023,0.762673440421834,0.7009721908046853,0.7013469106437625,0.7050213239434407,0.6869431583264686,0.7516873876357361,0.6219577213236123,0.7062114990066821,0.6600726470320685,0.6326063571722177,0.6981304334993986,0.8367863194097176,0.6394614111656012,0.7113483755556974,1.037637899640899,0.9921305230387468,0.9237497574406685,1.138627198149406,1.3846673273571293,1.1518302645100769,1.250158938303539,1.0546442819369632,1.1767574762234565,0.9534235367819174,0.8073038695462381,0.8923786642342854,0.9186257981890842,1.614765792743922,1.0935852836009898,1.3140578286195137,0.8652387259335302,0.8103760294399872,0.8809569267135241,0.7751643028016894,0.8516675411423988,0.7054612967997524,0.8325698620082038,0.8336642444412261,0.986043319941024,0.7994966152973565,0.9597459803581989,1.1502152287344447,1.0972072609335206,1.129009027461269,0.7644909702105661,0.6754283020121371,0.6551532040178834,0.7962425087175258,0.9852607661940516,1.1312391052316013,1.190603382147765,1.0033814058654074,1.0817847745555103,1.3112665082430035,1.1827888188798188,1.0994259226376133,1.449277797126061,1.644912576254324,1.3900785480912787,1.3801456668365297,1.6860618284855544,1.7785310138800838,1.38623263877159,1.4050460541296081,1.164182391390784,1.0772704975661018,0.9999417638160445,0.8496645439752075,0.927447563655314,0.8001477525620228,0.7254067016570718,0.7550535819848121,0.7841828235084954,0.7152444560231116,0.8306549429111239,1.030472007015234,0.9678026017630668,1.0502158532729486,1.1478056240226908,1.4358807662953639,1.373082820511781,1.3432441245490552,1.653263985521968,1.6724815841530383,1.380314523919961,1.1597508123796947,0.8418085942782415,0.7600745873846593,1.065833576890855,1.3481854956988537,1.7266471502822378,1.88745155433785,1.1238426814025297,0.7888320978313726,0.6865207105472533,0.5930259073166227,0.7928734873742995,0.708526255965348,0.8667965794036617,1.4458820779768549,0.7587132921835651,0.9812910130788336,0.9808777500826071,1.1401656796805688,0.8967501976330368,1.0953039747145128,1.2548323774663477,1.6337295026273486,2.250827841611973,2.595982777236895],[1.0063470934755927,0.8517972412173148,0.7036924391386143,0.4204472223102225,0.4911343473971962,0.5515686434694687,0.39891925172177567,0.4720836517716267,0.44223299362631946,0.37056139831413254,0.3821268515701174,0.48574510847380437,0.3878830732531801,0.3707671835917081,0.45082262423408087,0.3882920598447792,0.41636675981953297,0.4596772834372026,0.5684450688817223,0.5362671939751593,0.5685682637168218,0.6778871133392984,0.7693164850136914,0.7569269109180661,0.669478434056144,0.5907757203860705,0.5253332855682097,0.4389467063499101,0.4073214607513984,0.39261645520322996,0.46098933356244903,0.44992665050198344,0.49328895624874697,0.4759688054003573,0.4036178703433074,0.40339602299870175,0.39625005517121714,0.4343868494253573,0.44376051721071846,0.46012781970690386,0.6204094103910917,0.5859745063230446,0.5751078623703678,0.6011429785666532,0.9884064827965583,1.2718897230459776,1.24405882460952,0.7013043039963155,1.0152869084958613,1.459430261294442,0.8497759562691259,1.1536375814195325,0.9009555775545895,0.7934424858940712,1.4102859019434222,0.830230382196737,0.8050642137178272,0.9540721317396194,0.7656747354964362,1.4523921019907688,0.8234242929432871,0.5921114120482774,0.5179665747362663,0.8245111621348777,0.6780245991444088,0.5233028403116432,0.774461699584539,0.6091765059396604,0.7606290835437334,0.7026898404736056,0.8424519366054853,1.100224466173029,0.8838784978716454,1.0081231347129946,0.6297530672342869,1.104068570640599,0.5389663180899923,0.49854424604990083,0.4576495228911806,0.48282704459804526,0.4717885507076031,0.5733678597342268,1.0918659552955998,0.4630330976293501,0.5345880436542119,0.4229093004258315,0.42885062949329583,0.5522983982375288,0.4211606958829417,0.49290820723886614,0.507932821496028,0.7378398918011114,0.5855554646014659,0.5023901859658625,0.48905794064973207,0.5739393064331071,0.565761142981349,0.4986968297742269,0.507608827225835,0.7895403488735833,0.536105474944772,0.6822442406641344,0.4923442968246046,0.6068015003139167,0.6110631720030248,0.6331826167587282,0.8791868829692411,0.6282006791703957,0.6586458243766327,0.917984687125075,0.6414552606563211,0.47237612441190285,0.3989354302685167,0.40742500436162477,0.3920533336536845,0.38646926887172045,0.4508295727849607,0.4947435246410585,0.6667371785528329,0.5327510305892834,0.5551999118817899,0.45623287555685416,0.46494344284156314,0.3732748606768356,0.37964626090981723,0.43185184473834676,0.5118947584673825,0.45757960748105503,0.5299701671979005,0.5477191517411786,0.6134814166745538,0.6752961681841418,0.5523593269289607,0.5456449511276169,0.511522976998411,0.5637995458276678,0.7261331263564851,0.5369329619858038,0.42809963526911204,0.4368368983910351,0.654381910447933,0.7266613498796841,0.5532052275645295,0.4357475470961102,0.4305435666072546,0.43910327905950636,0.4036030507082542,0.4208577597810933,0.3969207961065689,0.4487886002108574,0.5810485932958971,0.6215365371162498,0.9654671215333237,1.7104427488487857,1.178790449391763,0.7052985274909069,0.5121815430947613,0.576796571059724,0.47266142032814884,0.5165214808280993,0.44398655027848394,0.4301155366919704,0.4297029729886514,0.4568870154547762,0.506860763963707,0.6202855840591145,0.6513586504062866,0.9648899965106902,0.9888103882152186,0.8909156464141972,0.6150746295264654,0.482171424589817,0.44817055025101066,0.4228003695011643,0.4048449353292089,0.47057662599092953,0.4834178613544552,0.6493594341469945,0.4485581979693416,0.48015707597988444,0.46217135571913065,0.4868379754341302,0.522321176727598,0.5547081443822798,0.5395304853180484,0.5202788165681083,0.49708579912999856,0.6567801205508152,1.3508385975179806,2.186443020263346,2.45335705146244,1.1022120704086746,1.0066395951433973,1.2225788437163445,0.7657178979069523,0.7833164122944565,0.7659283894165175,0.7483161060298416,0.7333117937944629,0.7878502687896914,0.698827715219363,0.8136325177525192,0.7484177269125438,0.7137637809679623,0.8193992472600734,0.9630170905391485,0.7289190482366101,0.8250347060689728,1.2158824694897983,1.1496963661755126,1.059229108109212,1.3421952910021104,1.620972015086371,1.3031577108405348,1.42847368957793,1.1618330328630486,1.3317270922922455,1.0289681348711897,0.8961325891163698,1.0322139229414586,1.0615856055605026,1.6232043937880858,1.1705059265694804,1.3913534218402905,0.9745365921034588,0.9228124452265692,0.9965971037078383,0.8721518460079996,0.9363785143114146,0.7959081473905651,0.9209440250758604,0.900664841187408,1.0365786645674049,0.8751534372550286,0.9836299133715802,1.235149904106643,1.1444838890136284,1.1667941047262727,0.8220919425531612,0.7166573585930619,0.7155677698562811,0.8849277159044686,1.08289887744868,1.2668095173590581,1.2842841026506169,1.1195829317941095,1.2301623204698602,1.4425116405928697,1.3096092847941867,1.2500081285621523,1.634959136957066,1.833554938282155,1.5802028939757133,1.599984049394078,1.942244670732593,2.0418237773077017,1.637665526250161,1.6643494164015695,1.3800566547574402,1.287817474887526,1.1772032435445992,1.017075269283921,1.1019231391120377,0.9477346947237306,0.856862247040169,0.8742823095881602,0.8870447352741597,0.7956379803079858,0.9213869931958347,1.1027487088371193,1.012782345565119,1.113404545529684,1.2265177863797012,1.5129310602451649,1.4307220115871764,1.3834836831951673,1.729107551179826,1.7369787775448284,1.473410155107298,1.2073044790792353,0.886983440750787,0.8354097223930811,1.0949539938478325,1.404925353353832,1.7974766369504596,1.8922067104355538,1.1266786440309848,0.8297190092688869,0.7357430989613509,0.6789650544501815,0.8888754158428449,0.7944545904165113,0.9834220630521335,1.4704705783598842,0.826399738141425,1.1043081287381071,1.1527208504352897,1.2542690459140888,0.9757677612278354,1.2985667976366442,1.1568171053576373,1.5046980112029242,2.335149775219867,2.7244915391663156],[1.0427512729720398,0.908884301161748,0.8075415451021745,0.4402256894372484,0.5491931611531469,0.5941780595096867,0.43959302915653536,0.5103826462558236,0.45131289229005245,0.37106519142090716,0.3911563004687168,0.501067288911155,0.38540571233411397,0.3703689976738083,0.44579251646253637,0.385052608445365,0.40130476426662665,0.43302417543512267,0.5413430399669708,0.5139441480288833,0.5416404666021876,0.6498989604652983,0.7530386214057913,0.7373363876357477,0.6590024305127956,0.5712578394915137,0.5214532307927762,0.43018139756162316,0.3991274432109741,0.3872297668007131,0.4362042877322997,0.45491919843118983,0.5047539640843481,0.47931307006985074,0.4097107511551283,0.4022669558917755,0.4131114936049285,0.42983026700751925,0.44149677339292476,0.4584466497572641,0.634792135224957,0.5802617620197306,0.5612499324310913,0.6048370567560231,1.0158299354514162,1.3058344841425769,1.2804986092434136,0.6961736692189608,1.0179070403458992,1.5019907627472786,0.8748592468888282,1.1886011942933108,0.8991231092531895,0.8115996453393296,1.4431934804819675,0.8360604700931056,0.8156051226733713,0.90841356252746,0.7411842808901397,1.4193859059913159,0.8087982289469159,0.5663391106617224,0.4968591416702487,0.7865940241469294,0.6550576132501917,0.5069027654028165,0.7548215842842567,0.585715177818994,0.7371087216288239,0.6857509283882922,0.8337518177105965,1.085540845527839,0.8652935352657626,0.9801547765302894,0.6062271806194238,1.0764733357354168,0.5083352658005597,0.46559641867070034,0.43877668437328643,0.5047243697937346,0.48773606913317213,0.5812919712856189,1.1134834506432312,0.4790272902109196,0.5544445377800179,0.4512951936110046,0.4360490275456107,0.553944512838949,0.4142138277804006,0.47610706556103694,0.4875081524696671,0.7127672280079048,0.5553437413893839,0.49014348372863237,0.48047156717758993,0.5566498914979301,0.544705304690302,0.5106370512989774,0.5359621931360319,0.8187802614173418,0.5702682346792108,0.7455260127299553,0.5271367952497121,0.6400774763119333,0.6561177726456382,0.6981787747634274,0.9745950053243119,0.6939274396046917,0.7292061574080648,0.9642119431200372,0.700431752285175,0.5218214861230847,0.434324593732479,0.4228158624850864,0.394493101412473,0.3910541801397987,0.46887767648464146,0.4954189579225519,0.6600903118066078,0.5199882945383708,0.543543905168228,0.4585029177908511,0.4727046010536594,0.3758173616868015,0.37025707758483045,0.4599189020782221,0.5405230869409582,0.5092800894513996,0.5960426570419495,0.6121972594384885,0.67621334445801,0.7682905263368598,0.6201964155705644,0.6129239980990651,0.5787706946328318,0.600091823864901,0.7690714109146793,0.5901251415914729,0.4686130033748706,0.4557474795767596,0.6501626664723626,0.7130387709278713,0.5372329500337848,0.4465100351659841,0.44276878413597187,0.446628812412111,0.4163198822455309,0.42034860703200916,0.42027964417805513,0.4991770801617325,0.6087945482172235,0.6504544729365878,1.005962051835887,1.6960878560997676,1.1814166473204284,0.7479598388282418,0.5524234814023796,0.6202496442814396,0.494788435699278,0.569876944860953,0.46460722865111886,0.45053482096435976,0.4594059989327595,0.48291877620778134,0.5549548302180813,0.6482747740240085,0.6868284013042332,0.9875579082519779,1.0242351072389702,0.9171753538068795,0.65611752249255,0.5332619745435622,0.49999502028725895,0.45975244771617907,0.43463127217953235,0.4994809972681075,0.49929733676512117,0.670809539198018,0.4678201670195214,0.4975876659882682,0.5245491016725605,0.5426410903417911,0.599322627524975,0.6187506591975291,0.5996923369139889,0.5631898766953063,0.5341091760251735,0.6385537724919546,1.4006427701953086,2.1270950734193197,2.4076612844217777,1.0982512942616156,1.0096981105399359,1.2242759003425245,0.8000732156034721,0.8275605441378465,0.8114095829088726,0.7853417024647203,0.7786969130173989,0.8508807153567499,0.7957051153120532,0.9297322659038383,0.84876638595133,0.8156686940929959,0.9499144249548573,1.0769429670930353,0.817946173660418,0.9381988830339245,1.3523909181289846,1.2520081982486375,1.1637334070780636,1.4778399199522896,1.7513578080180938,1.3738933511653686,1.5228950073110887,1.223106953756325,1.4397382597445052,1.1115450356675955,0.9996551329024027,1.1498191608182586,1.1956712634964095,1.695360977124147,1.261242896522084,1.47873422979606,1.0861382868647187,1.0402422760166785,1.1130450594714176,0.98536824316171,1.0760220665579727,0.915902552925985,1.0209553467574275,1.00273385432707,1.1351774759097435,0.9601913822534046,1.0088301976763938,1.314587863080071,1.1922812196338517,1.1705788379390323,0.8889455997564156,0.7730811744627095,0.8192754696258098,1.001327242387296,1.1884228842031987,1.4259545794713502,1.3891583188121763,1.2307687165795658,1.3794100021056348,1.5889858147264937,1.434109309516077,1.3861367578942891,1.7873723389587948,1.9787952407249303,1.718156318154232,1.7577837291352238,2.110739286523529,2.195990181089938,1.7981838681173983,1.8370695417628577,1.535475629499341,1.44562099345219,1.324785166269562,1.167144058775386,1.248298281114549,1.0847873499854872,0.9922208887155834,1.002653219917293,1.0070858613604659,0.9029041903027804,1.0276743056350426,1.2023771701298243,1.0947829474976518,1.182494890452593,1.2942219613662767,1.5967377866095984,1.498661191151865,1.4506534533219566,1.8001924217793914,1.82549108083928,1.5906609569007981,1.3049382271877552,0.9646629484679875,0.9248177815036184,1.2159860942974612,1.497167812051282,1.8687821437014522,1.9109673632233843,1.1591405405792323,0.8949197967905049,0.7991178660964183,0.7380341336730012,0.9553306311138786,0.893558049457511,1.098225125180663,1.4624862788922193,0.8965576211048402,1.1984766262427073,1.2761097936397732,1.3005580253584132,1.032368589716563,1.42267353246338,1.2213052160731173,1.476274695803411,2.485144554071558,2.9336284481932324],[1.0477465441372606,0.8761880086165084,0.7686612916423357,0.40453204513787966,0.5052877127423194,0.5998058700101108,0.47063316726890114,0.5265529575347154,0.4755630277732639,0.43794907059384525,0.45570841426932995,0.5489654498824598,0.44674739966597493,0.4418411126836404,0.5223005609118272,0.4572240111645434,0.4571875176631362,0.4914811976673345,0.5654189160886909,0.5571784605795389,0.5788079611172149,0.7038119758569417,0.777147145955283,0.7549441188635307,0.6918782232829805,0.6111047054858442,0.5584319470563396,0.4791166548205032,0.45824826246519285,0.44674883051719955,0.4863856158763169,0.5154301013609701,0.5579949273867167,0.5397391434349171,0.4844623826988921,0.4670167506039044,0.47846020388867316,0.48110957046842906,0.47896461170340227,0.4783174518296793,0.6496757788782501,0.6313830113633766,0.6029883055764639,0.6199691450819147,1.0215155521837478,1.2802570239527586,1.2264429709121205,0.6977211708303983,1.0142202972288605,1.5112377753112192,0.8564527806641539,1.114366860710044,0.8856936732835476,0.8172014389087509,1.533348737041705,0.8556150124305829,0.8359914493323214,0.8985398067172106,0.7471720972752559,1.3523264616967121,0.7537079938083661,0.563107247294404,0.5233660817168195,0.7579727383760125,0.6641999796885322,0.5360900459030199,0.7717582012770142,0.6231364340265939,0.7486017628880725,0.7011821712319759,0.879932540519976,1.0969698324038581,0.8793462837652485,0.987195775345902,0.622057976716197,1.055608915184505,0.5404633808196578,0.5136113161002289,0.5079326266922893,0.5474535428629234,0.5408267606580535,0.6271139856579766,1.0930546393486433,0.5165746974935503,0.5779359648998751,0.5026825668315771,0.5113384798157196,0.595740755770795,0.47347623965548197,0.5320609233744936,0.5401987145663261,0.7210996375042446,0.5857203969982753,0.5430289910507612,0.5359837187674348,0.5987465510191792,0.5868540927953239,0.5611012194873667,0.5778545319081144,0.8438964785168065,0.614698439606971,0.7664480198007289,0.5535455278412583,0.6596516777395739,0.6481692636290912,0.6890320508634723,0.9581366771443697,0.6655140557477935,0.6940825542649062,0.9409065635131818,0.6737732410655214,0.5148437578193761,0.4553066248197223,0.446192543464841,0.4526335335723558,0.4294666316313138,0.5255894506905034,0.5100334097546265,0.6527167179058738,0.5334317833688471,0.5545684943634331,0.49734905589701756,0.4954623703875349,0.4090755343239233,0.4140732702688022,0.47272826016231617,0.5283156439603829,0.48426629900396806,0.5657647377528686,0.5867667630517621,0.6125305983007094,0.7057943711147739,0.5647872871369318,0.5750892090230525,0.541104541680893,0.5843511492829586,0.7910461025569583,0.547570297069511,0.4796856021202958,0.47307162660678953,0.6713022899323178,0.6881807760674704,0.5481493749408086,0.46839950341838643,0.4719202600195822,0.48721468351731956,0.4538869396687782,0.4683091483480452,0.44558967898917545,0.5255446978937821,0.622565029077395,0.6710287707360282,1.0242586653620105,1.6939653502561465,1.1726895846815042,0.7751594597345446,0.5870994133620766,0.646009048362648,0.5249525909464061,0.5870222044347024,0.4647115410199441,0.4873818491923739,0.469467423611985,0.4793030641721992,0.5401235413253016,0.6621938401542234,0.6836295381564483,0.966720139647718,1.0120771355725289,0.9222142640365291,0.6512298846614332,0.5076492151901884,0.474301049897737,0.4713101064504983,0.4558068427143831,0.517525606042539,0.521308035072947,0.6923600213071018,0.4947737365018648,0.5116309435424531,0.5316000571098723,0.5344561032652179,0.5565119700085167,0.5703602585682636,0.5780784809972751,0.5474315885990803,0.524056503603129,0.5999258498227877,1.4692011431024008,2.1106668847266947,2.4527118848636955,1.0224178210434043,0.9887096399162917,1.1630982821616136,0.7366347840993752,0.7325594881379748,0.7276389696374639,0.6795045353120741,0.6761302126064473,0.7617700788014914,0.7064962735030822,0.8793486410366962,0.7789908000279423,0.7207905641142811,0.8725150405591748,1.0109535720675165,0.7208720541565037,0.832506249026865,1.2758598433866433,1.1543675794578476,1.0309858954217364,1.3446518508673906,1.6490675793507976,1.2309629503691042,1.3320586067530267,1.0453326022143774,1.291774118430814,0.9941821358055735,0.8755336589670464,1.0136190317576914,1.05425518996943,1.6655723780776255,1.1588726745253681,1.409066531309666,0.9867951128047129,0.9723759679636231,1.0671871705509428,0.9253971294179134,0.9843604231076464,0.8210059320733284,0.9594479736993082,0.870609767174608,1.013251690636976,0.8625728149427861,0.929308918802826,1.1528195639231738,1.0812516119035613,1.04870090939902,0.7720642957095674,0.6940345924649804,0.7489916955061969,0.9554425060246173,1.1725330457866532,1.4146316382283581,1.4090414328867262,1.2248382763942074,1.3603677942463543,1.5893558751118884,1.4345706904097144,1.3601926592946831,1.7685946676688653,1.96478896817157,1.6791480582441747,1.7054727527854092,2.0651456969215927,2.144944816682359,1.7153622516256062,1.7572193032441423,1.4456989481865985,1.374610870973305,1.2648398309389635,1.0970686559246536,1.163710183198117,0.9904157045667598,0.8994937984463827,0.8905938812010402,0.8914070926735801,0.7935652062912231,0.9010467811331907,1.0689327510715743,0.9818748188471021,1.0524663513154084,1.1721341839446107,1.4894774075070922,1.4074015117565026,1.3920696367282206,1.726837747421592,1.7953364196541115,1.5196212712857746,1.2965908699607394,0.8818481367996716,0.8093661884610382,1.2781602183405396,1.5233435541513105,1.8778497346554346,1.907064151470414,1.088048531307893,0.8202092782465382,0.7074615433563257,0.6913145045241669,0.8875714284699783,0.8473012968104516,1.0578971114534144,1.4638677095141865,0.861045308166177,1.1412872165990133,1.2413511936774122,1.3111770724116905,0.9949828435966775,1.3610846022133993,1.1780953087532438,1.454313040115715,2.4290546791612337,2.8772005073917573],[1.3007995856199766,0.9694127543812999,0.8594251971003032,0.49200335810648044,0.565506070526218,0.6930039327679398,0.606671604594358,0.6815608413140635,0.6316481601945869,0.6279293743572038,0.6421251984659613,0.734390859592735,0.6370198687282197,0.6355824763403186,0.7552356073977029,0.6804420267149668,0.6515370587597222,0.7011626421723477,0.7496849732137112,0.7389151790794088,0.7618780117430816,0.8564996313512984,0.8638806296945069,0.8710605014651641,0.7994004571347729,0.7615972906001158,0.7095708229682354,0.6351199004405591,0.6372783046526016,0.6406353057588163,0.7113156072257085,0.715496925986874,0.7831945994881445,0.7717935578255131,0.7082681522567814,0.6704239545344199,0.6687889090287009,0.6649886649759505,0.6440673041293262,0.6183299971024974,0.7586158081866473,0.7834334443777061,0.7528059262464685,0.7163249727150631,1.028438229401636,1.248781081956263,1.1843312247976518,0.7949166037126454,1.0814096036075942,1.5359450940441575,0.870178910530102,1.0738157352866875,0.9496347976749236,0.8972793818799408,1.6390117956025794,0.9190862490529962,0.9329205604022898,0.950468643977269,0.861379729898574,1.3828496382279145,0.8459763388249336,0.7411289087724231,0.7358319084242423,0.9185263651948241,0.8107045494599574,0.7109084871929806,0.9308719222102216,0.8290100882685798,0.90716223764484,0.8834959585409963,1.0439687332027228,1.252836954109711,1.0523046628770212,1.1485937349478315,0.8172343538050438,1.1912125614508662,0.7563369015784325,0.7533088812206723,0.7242157669580783,0.7068921205550304,0.7346634817258748,0.7671074446242621,1.195938226768409,0.6950651706344009,0.691792987277368,0.680081734525571,0.6964671054863022,0.7458111641546145,0.6800704156830811,0.7519809955060952,0.7575833747210193,0.9088275831401129,0.8169454858718024,0.7875242506848393,0.767399913235434,0.8195801137887893,0.7830448499668219,0.7820686698910424,0.7828907446127776,1.0362247733783303,0.8108312938326705,0.9471609770515903,0.7265462611996674,0.8259548228591415,0.7783495446031784,0.8007269103030521,1.086317119019369,0.7815115117394318,0.8039054707375972,1.0437036071276204,0.7731510967905766,0.638677552211691,0.6009975558567836,0.5834648326415842,0.6144348842660801,0.5812159068577595,0.6640155814920858,0.6345582383541135,0.7651686430404527,0.705659070839606,0.7099353638134956,0.6575956871739044,0.6318750142613337,0.5566271115018848,0.5718337890737751,0.5931296591825829,0.6549479175285623,0.6019535690143616,0.6610860116054948,0.6918948457967117,0.6452227451142619,0.7337243900886571,0.6175856194172382,0.676803780933381,0.6303646175165764,0.7026878355541751,0.898336987357768,0.5915784274561786,0.5586464972361913,0.5806280404299072,0.774306687474056,0.7875006085559858,0.6720674712032675,0.5887759216435404,0.6044565957366892,0.6511809467077565,0.6097223674754406,0.6427492226282748,0.6151144823289305,0.682831652168715,0.7618614311465968,0.827005178253869,1.2203443218410912,1.8493244845458456,1.3110938620905217,0.9712567735037868,0.7672926092699214,0.8070463605037922,0.6892138609745931,0.7445766175042361,0.6150486813304702,0.6564712693627124,0.5930422577154245,0.6075617278749182,0.6025321321535213,0.7493961723782343,0.7506592753879384,0.9792480963459743,1.033263797171141,0.9749244001066956,0.7215310246719394,0.5834173632854989,0.5619960124978339,0.6186766213247658,0.6169163318099662,0.6723960147347479,0.6671072821888485,0.8299106888693092,0.6512948030737602,0.6701257111456643,0.6591895204619364,0.6659067716133368,0.6496503844394125,0.6593869472925621,0.665212627434081,0.6437067300980286,0.6044587047500929,0.6706288994534794,1.5597377716889036,2.1606098839069605,2.585326252914526,1.0470683760677046,1.038132547199127,1.1334873093703277,0.7412973050937148,0.7103493862627666,0.7451084074369184,0.6516516891399143,0.6662322439005379,0.7649076589935129,0.7760143168666523,0.993492610175132,0.8498288071629025,0.7577515316175459,0.9521378496679518,1.0632140910762014,0.749791027241166,0.8560369067052552,1.3347863341822745,1.1190656342110135,0.9731876662730304,1.2882692530067812,1.572812748345629,1.080305188468114,1.1502253304515444,0.9407875122667445,1.2359263810252474,0.9958528000892408,0.8759524863810756,1.0152893012209778,1.0785371366996186,1.7566416512119911,1.1568684133509017,1.5331224686127045,1.0752546800867469,1.1015982707719205,1.2052275995049218,1.0604544579765387,1.0462184764632652,0.8868068662401487,1.0438885195275152,0.8525089869317443,0.9711368527560073,0.8648719973608944,0.9610545252870243,1.0427511170288883,1.0119135186048012,0.948345075947401,0.7414993241428107,0.7559534049659169,0.8553731036815977,1.0918655042710887,1.352003390760208,1.6493325617684877,1.6257286647543123,1.3973309790679542,1.5455344812893905,1.813974990932325,1.6275040579435054,1.5046193267563017,1.9416705719374359,2.1235467824908976,1.7752657908904226,1.8312431984384576,2.2028948888760977,2.21100555448672,1.7664909332656602,1.8562259584703056,1.5231026569010966,1.5033590133515178,1.4079793545395523,1.248797895656617,1.267643781496234,1.0677707524000233,0.9958763199840241,0.9434699139745509,0.9244830122103108,0.8081207024930412,0.887724021678425,1.0346983260138565,0.9348459977644342,0.9720120533298783,1.0951905638334458,1.443001740145331,1.3450306521553945,1.350961237552739,1.6810607862519762,1.7828536188877722,1.5592037741578737,1.35925597162349,0.8971675643217802,0.811223235265282,1.4319678223938772,1.5715290957075323,1.8668899467711622,1.8700271145198557,1.0446874683267706,0.8104588261249228,0.6976614463580901,0.7587000045933648,0.9159476600244321,0.9357097171187911,1.1572398509687762,1.6233047359942545,0.9342648417411411,1.1487519087261873,1.3067857664991236,1.4599960019704725,1.0292885364342919,1.2879352259837904,1.2967732072977318,1.5482195149878601,2.590164847362377,3.1834557905373826],[1.2788010002277566,0.8593790706089836,0.8239564126955433,0.5627872389029707,0.6126962107391979,0.7056046372158051,0.6006972417334774,0.6940000591516323,0.6195118823307166,0.6194022265819042,0.6390191767268347,0.7405196784655422,0.6388124149182107,0.626546688182529,0.7737927988923212,0.6982735314271216,0.6626066499862547,0.7231138730168719,0.7765173145383159,0.7638789905234314,0.7935685995951755,0.8878585967255428,0.8790684667081937,0.8830456133689165,0.8153082936636062,0.7909768640901548,0.7049348592857091,0.6406301859205473,0.6615668619420126,0.6582469910586207,0.7216728108310646,0.7332633624366716,0.7902171648516292,0.7783694474110616,0.7256091022057578,0.6816092242624447,0.6866632560007839,0.6728370533898365,0.6441704637070703,0.6118423324118484,0.7461565431609626,0.7912647895821022,0.7716730055511625,0.7126736677075378,0.977549684441472,1.1918054439488563,1.1017702679453896,0.7910144546157416,1.109403478474659,1.5434724127320048,0.8769073716363797,1.0755026355310298,0.909460488719414,0.9173813428583706,1.6731226138029232,0.9187395801412651,0.9435276632980755,0.9279836351470511,0.8611885832331708,1.3291521655999479,0.8283537781209819,0.7540178867849059,0.7656717706089119,0.9856169257084528,0.8433290853742024,0.742748495129267,0.9837240302479118,0.8625763684673865,0.9238829918492852,0.9110475333686487,1.0707031197633767,1.2875974620679578,1.101753405784823,1.1726183447944147,0.8460269026433687,1.189256067200924,0.7801975743885841,0.7706033946823105,0.7428246717237786,0.7205726165464961,0.7432328417547618,0.7855534723312472,1.2029481432752163,0.7320481663894403,0.6896854013918785,0.6866031140771423,0.7174863862889153,0.7647034553318216,0.6942186044629617,0.7626184563833801,0.7787673023707851,0.9268528906021629,0.8328118173722474,0.8004088657041301,0.7784127677645309,0.8232877366786949,0.7792120805168445,0.7900871822310213,0.8021341074524954,1.0719468654064221,0.8354739552825511,0.9975375026407672,0.7590336592761043,0.8650988715876736,0.8113033050992507,0.8255609794764103,1.128049278446143,0.785635584867169,0.8062556899252644,1.0631262780916475,0.7781981148132682,0.6476541701813144,0.6071953847863529,0.5938524065370915,0.597910280636801,0.5738438244355837,0.6599707946637827,0.6092132635898616,0.7392975877864022,0.7145370372189414,0.7064802654514508,0.6516462450083494,0.5982745041495994,0.5407742381666975,0.5580100327555262,0.613156389439931,0.6861098530020789,0.6247512209677301,0.6588804115530656,0.6961935223521831,0.6470265026574848,0.7591638615393521,0.6236044758033508,0.7014064968108019,0.6366349287802476,0.6968777487116312,0.88166573312471,0.5471242424218357,0.5350325707603355,0.5486534369141886,0.7120165295573468,0.7201822029059078,0.6404251769667556,0.5556834357510896,0.5868566311654484,0.6388442856662244,0.5884223564782547,0.6529262266159853,0.6379070737490586,0.6954289314755996,0.7977871809594329,0.8396196022520732,1.2632279500359687,1.8931472668472151,1.328949278276565,1.0026174935617413,0.7908191670634233,0.8447979383733564,0.7165643098520253,0.7839586930071836,0.6346304928529639,0.6657633545916376,0.5877829920521181,0.6152706241938547,0.5870199356815835,0.7365281218487109,0.7095346693065949,0.887893048240728,0.9586470367366179,0.9122831130328509,0.6881764319300736,0.5563039543687621,0.5737092924724481,0.63667798337557,0.6284800201317816,0.7045320462960606,0.7062950818734242,0.8727297253853595,0.6821224391651171,0.7151915248074975,0.6644780305868094,0.6785429634733624,0.6623731379499438,0.6782042144369675,0.6595355306240899,0.6416103567949861,0.6104192405511559,0.6809171499586609,1.56396087282981,2.094338186647397,2.5707302253282895,1.0225057837465812,0.9942584905204606,1.0848275795496394,0.7270077356873128,0.6829041514986635,0.7407058975853026,0.657463730787568,0.6795358334987961,0.7832480340578497,0.7493057630943767,0.9269489582968302,0.7996151657581212,0.7324644766510041,0.8736749148348893,0.9452089906193807,0.7385096442509548,0.7884265484107043,1.1715013449292002,0.9337151355801053,0.8465320259056797,1.0688445086998937,1.2928303743812657,0.8926030877124312,0.9685172448776742,0.8897345216255771,1.1121403097939655,1.0363422381286864,0.8783803967761264,0.9324159386692588,0.9924092046976196,1.8230775050238213,1.092974297570667,1.5470424195800063,1.0380656603259346,1.072996678068421,1.1679827382075278,1.0571849814053242,1.0020252440153523,0.8688767084606211,1.0580874243180762,0.8393352862625991,0.9602149749875165,0.8730821619875079,1.010053267740591,1.0052792955934946,1.0130925926842393,0.9411016561784622,0.756674086134103,0.7566365528804038,0.8554740217152105,1.0625612904506434,1.336637400301851,1.610790910217385,1.6069535599884783,1.3681742819509202,1.477393607523515,1.7837760257669677,1.5870611049224879,1.4065045825249074,1.8256125338683062,1.9940930752636672,1.6083032650764362,1.6662311743530707,2.0181469723114445,1.9760501939951496,1.5390494284019387,1.646088478264339,1.3493901749370871,1.362282680210865,1.297915286405056,1.1660276950146249,1.1478851098008827,0.9619013582893107,0.9333443696420525,0.8896039237124644,0.8778760312466161,0.797340924871564,0.8683342986124559,1.0228860710119185,0.9781609823065296,0.9760551459374515,1.1170217465650014,1.4672614551931948,1.4047201255231234,1.4410707572616317,1.7399070232197875,1.8813363834216856,1.5926987228271425,1.5234375226857484,1.0018191222484252,0.8910834601089129,1.6694183659001556,1.7322360997005632,1.9843196044075155,1.9688857668083024,1.130339518758447,0.8704132133547934,0.7086770678892895,0.7381581894072088,0.8348754440329341,0.8802588521121596,1.0630347117787105,1.6318350231760468,0.8851890021156146,0.999130845956577,1.1634033883645294,1.406083180620759,0.9075813186887178,1.0790406448312604,1.3095607509357308,1.561255881329264,2.6510610783361304,3.2437299645226987],[1.403616006303667,1.0350760390782463,1.0038431729425632,0.7157840293342742,0.7430255443615468,0.9337881320035997,0.9092990630272443,1.0381173530992969,1.0494602904553725,1.045455087920231,1.1318933399493685,1.2710963853779154,1.0942518041299245,1.1014143236931262,1.288979715611416,1.1970658528846156,1.0921470489465945,1.185296279698773,1.1885363818063082,1.1523769952837275,1.1833484854574212,1.2480599620198716,1.2250571086743909,1.1767032119737018,1.1465445088311221,1.1330122511833938,1.0481974939898047,0.992163292127378,1.0683835616714548,1.0980663755545592,1.2425672702368122,1.232049044380025,1.333465265249472,1.3375381674444249,1.233077507535534,1.1546711437279717,1.130341953869348,1.0595009332678234,0.9766495278828935,0.9164993039519713,1.031249062838464,1.15388990256619,1.1206084248143326,1.0222887805933554,1.2235220307049293,1.3761017071141954,1.3218721020581994,1.0631487811575624,1.3152773111199612,1.7137997547190158,1.0936572975327343,1.1619419703478635,1.1681509043911142,1.1532959132764407,1.9271313896196933,1.2809696612317931,1.3118516172203862,1.2059981944096034,1.1960741695234265,1.585626529016541,1.1133917984852784,1.1765636302004792,1.2253955043201925,1.3371232236347523,1.2370814481797154,1.1697387172574707,1.3433882224286378,1.297858633121818,1.327960370365968,1.365728371014551,1.461447479771319,1.6581570192283817,1.534410025104917,1.5804133934753875,1.3396142854361082,1.5568798731586106,1.2680045696193634,1.306016736358877,1.2401113541696933,1.161543434960436,1.1759220329640891,1.1450116484669226,1.4060157449019821,1.0246163431060087,0.9787065130060971,1.0419162842251803,1.1091928310051502,1.1804738564504542,1.149055240426443,1.2742691717652177,1.3098200593808813,1.4080794692087761,1.399684136783748,1.4115860038169696,1.3617144638774188,1.440713564696024,1.3525739299658943,1.374160354813872,1.3440246368228432,1.592166583875974,1.3343702301474123,1.4195228439872898,1.1803202746139911,1.21303334437671,1.0901204323417615,1.0597415122993847,1.308721640793677,1.0086747686116235,1.0221223634635765,1.2124027055660176,0.9904356963076466,0.9073331130087462,0.909508592570614,0.8482269176638434,0.9412094969347595,0.8802905829794581,0.9917914365585454,0.9207924061173917,1.074020572732743,1.1123316143057755,1.0849712934608686,1.0375899325235007,0.9279611483750313,0.8513714460313319,0.8436600368924083,0.8480617545134679,0.913747611141941,0.823823628400156,0.8718846060876797,0.9145665996066015,0.8091179722831978,0.8994335397196986,0.7926815039135972,0.8763906270521705,0.815989024929952,0.8997860179257214,1.0379089394645002,0.7471097859969535,0.7116710755874149,0.774498869645273,0.9147908924416589,0.9536307227106187,0.8871623937429862,0.8335291506053807,0.8798024668552267,0.961110118993499,0.8990765153197904,0.9738974860838493,0.959783736948198,1.0421088213548422,1.117207676826369,1.238769269469488,1.6234412929232578,2.1635204435934767,1.7427739484685747,1.4738452473815353,1.2389473253143803,1.2205231372378396,1.1133657270149844,1.0753223790158564,0.8938850587144457,0.9643251083026523,0.8354731234716523,0.875364431461369,0.8020380239733271,0.8822746695794265,0.8901750774427157,1.0719277950850685,1.1233211499099685,1.067456144521269,0.8660044861467098,0.7679564683081415,0.7902929851824289,0.878026355291527,0.9180210138524549,1.0153366317832093,1.0305666184240305,1.1734420603454276,0.9917052988726175,1.0012926774864122,0.9028132962690021,0.917487144329486,0.8585021527213027,0.8641553969040033,0.8555206905945251,0.8692658624476615,0.8339458729579076,0.8922586368638173,1.7160327987050172,2.1350651847008955,2.604031361634827,1.132428065476925,1.1160303575664194,1.1594859288689081,0.8779992202939416,0.8293960602194663,0.876979056986472,0.8217988901309948,0.8612053476364608,0.9372967967618695,0.9702291993409535,1.1751539859045261,1.0146077377347515,0.9429378283075657,1.1184776431651533,1.1873397497039402,0.9186647820760313,1.0277148219657564,1.4397993046043667,1.1618239240555226,1.0816442894339453,1.3276336053119397,1.5559075468082038,1.109157981427103,1.229394328229011,1.17180330736621,1.3635530293946576,1.359321336925501,1.1724082176679187,1.23589431373919,1.242228783833533,1.9920314081966488,1.4098297424821777,1.8141993340674087,1.3131337388290956,1.3380780557707885,1.4402085103809146,1.3012694816450532,1.2655590762791493,1.1207036976810631,1.276738739469213,1.0862447292916217,1.1630716344519558,1.1007449298410663,1.2090527736349632,1.1955338891106426,1.202593816507521,1.0610680613813301,0.9493608122239633,0.9578863411461479,1.0657743119944616,1.3011222133079754,1.5884830859739902,1.9357985591695366,1.9081155252688333,1.6184725734550889,1.79683967718392,2.1325775226416988,1.9034455659911498,1.708407163939355,2.1861946420644203,2.3688671683152576,1.9207523177883559,2.0068204224905006,2.414032170175868,2.3435020695619353,1.8706993026933625,1.9975171207559075,1.6603373927069396,1.6843086025113745,1.5932269672018413,1.4778667758121553,1.4596228785556302,1.2333839279828986,1.1938928644843898,1.18188407939516,1.160925283494022,1.0364284932266128,1.13012421294655,1.3115619154025349,1.2327178178930438,1.2151180627144225,1.4019764988928396,1.7673111521236486,1.694455531257006,1.7124105069201558,2.105632109929897,2.2398051707063367,1.9545171839301243,1.8484503019988239,1.2442279072965385,1.0790563512084506,1.9079225174590804,1.9512914912165358,2.242505353809415,2.1383356863530145,1.2898975867975604,1.0039018074202215,0.8690690170269733,0.9120625131727094,1.0100834445962092,1.119787693640644,1.3667421018882375,1.893205658357078,1.133675978808722,1.2719544578661155,1.5559083106435352,1.7587136657960543,1.1794609636114175,1.4051841503718678,1.4761727882333244,1.6100461699995927,2.645243616046986,3.42697087711169],[1.9898076058615919,1.660295897940678,1.6477732281631403,1.2618903243876998,1.3565402063261247,1.4413745438672239,1.3602758361394172,1.4397690750676202,1.3105394765545557,1.2435618125789363,1.2088493334492798,1.3140660146743823,1.2717396268548962,1.1678327021159294,1.2481342593971043,1.244802847585681,1.2065882042392257,1.2089979825719273,1.1844941565585538,1.2406378951625994,1.2299788688670135,1.3482218771821182,1.2816490735870587,1.29352275330931,1.2937042530150742,1.259738773059093,1.2474116457996773,1.2337861954383846,1.251081671192263,1.2895524866875288,1.2394506314316596,1.334895464174385,1.3360687049101407,1.3033735211918194,1.3271409972065744,1.277308941900003,1.3580544934022971,1.3052678927646986,1.299908351914916,1.3241937066128582,1.333384305927818,1.30519597077673,1.2943669870590404,1.3007419783836598,1.3988479003056828,1.5591632289864232,1.5317394716414228,1.3747953391160581,1.6135051350353915,2.0941373061440203,1.5065741907635255,1.6010614845053552,1.3755689097539872,1.5959633622885645,2.25773489146285,1.4773065869521913,1.4098483601211818,1.4960233584880263,1.4861583677654358,1.474891563553114,1.20337473230759,1.231241473897724,1.2771586985158188,1.3299049616670389,1.3092330338028644,1.2720232841798707,1.2852260978345,1.2536531485631095,1.2211077230278793,1.236148612662454,1.2943138545872264,1.4653658486598025,1.3423855682690915,1.3844278150954399,1.2383099746636335,1.4640548902659305,1.2527607809795456,1.2369461567763889,1.3043152030179317,1.3236527233651894,1.3979386690715745,1.481554918060723,1.7820266835499605,1.472813700678755,1.3804823681386222,1.4023131969552363,1.3569848623109064,1.4186139022860238,1.2888718752816255,1.3017007150287554,1.265018001814332,1.3163057273015362,1.2277496944029207,1.2580771771207124,1.2474838194651796,1.222855978593202,1.2070265842815346,1.313568867456718,1.362052922506549,1.596080855391696,1.4517225814707224,1.6516255718345543,1.4654978286194351,1.6108362080185832,1.5980505654533026,1.610870037746003,1.8092092042817536,1.611767556724419,1.617892618816415,1.7297734766969697,1.5673567706116567,1.4422904817477313,1.373067484625941,1.3089247747699744,1.250233470394674,1.208273889353197,1.2868728069263924,1.1425989368069633,1.1712447875436103,1.1751520589137272,1.1506426811862984,1.157494592796317,1.1274464395333155,1.1706671477554975,1.228361916287455,1.3228211833059667,1.4480745452962591,1.4201389437873508,1.494969995945927,1.5212247170772504,1.401900275217702,1.4857716541148982,1.401961518172389,1.5076618546142844,1.3902666386352858,1.4410218339165743,1.6097425417087523,1.2423181391218536,1.207387232586273,1.2151977463566972,1.177824858284686,1.1805890882824503,1.1433069920046663,1.1793200027015789,1.2424106469274936,1.2809544551250949,1.2681168929511988,1.3386474811432476,1.3859393843582404,1.4091324046209628,1.5336087669313065,1.4978274650806795,1.8368708119852761,2.139249221952781,1.7716190707714154,1.6185814281127948,1.4382497825418863,1.5499666217631316,1.4145261532781679,1.5446049266357291,1.4035289028431188,1.3832527717151093,1.3011390274924304,1.3288410613759907,1.3000626295782631,1.4183763283263096,1.3821652807033307,1.4364866812809913,1.4740550202411065,1.4619531331844415,1.3820064148206206,1.2861526586507899,1.3284278551624216,1.4009530077334333,1.4105419085108357,1.4804566553975764,1.42241962776639,1.5935320206402968,1.4515755948053533,1.4873043832985322,1.4533735389713065,1.5011351566333397,1.4653092122569151,1.4400576803621756,1.4001041164397163,1.36861909538101,1.3357228611298426,1.301501436860156,2.3847064533722504,2.581787105554676,3.074472978829063,1.5350714790037645,1.7354729675858476,1.5378820501458192,1.37996652276054,1.4007134877286684,1.4959651325997525,1.3983027254360758,1.405129630393016,1.5036683793120262,1.6097880028343967,1.787701298530179,1.625307249669705,1.5146395146345955,1.7278528851189667,1.778088111965888,1.4565623319002314,1.5533810178009442,1.9828602454238244,1.7105988045412626,1.539297092969721,1.8000946862073792,2.043541661061265,1.5420058762910298,1.526747298109408,1.390271167005931,1.6947039504401311,1.3857484118324996,1.4331049646032834,1.5857740384147734,1.7050321260120753,2.1061660831134117,1.7510832769123232,2.197360080590641,1.8332555971940065,1.8825953233984538,2.008873054799534,1.8706494992332157,1.820790479298639,1.7054224168309957,1.8481655727621753,1.6418614808329044,1.6244992070229023,1.6317318963734644,1.6802069326723612,1.444889094011245,1.392213810454636,1.4097338301358664,1.4211426047045117,1.6047782212416841,1.705471868476824,1.8937299029138224,2.1436174453648245,2.45307459389735,2.362439626174989,2.1597010123700446,2.294533561857507,2.5208724156962528,2.3454516428497247,2.2153576312468877,2.5783246000455544,2.7063669915044177,2.363379817711179,2.438195235865993,2.762913355576999,2.7068939502294356,2.322688225411785,2.4168597121246758,2.1383817272319776,2.181953890119863,2.1307842461036146,2.033912718782069,1.9640858356448385,1.7813002246306866,1.7586563518509462,1.6663362990133117,1.5953902404127858,1.5035155936081102,1.5298400431387855,1.525763812927717,1.3897229697073383,1.3567288997851066,1.4419455685502292,1.562096350382246,1.4562682899137567,1.4570237080687165,1.63509610128645,1.6990399184599903,1.7561383904158225,1.533462114169632,1.3068162557262777,1.3315730089118725,1.7131618467655532,1.684052428753297,1.8033790833493475,1.760503504030443,1.3816972714984865,1.3393885772184042,1.3993392332862036,1.5201833550485064,1.594503185662897,1.690249342823134,1.864739362063077,2.211988401572663,1.6756165567239625,1.7846108437938952,2.005989692718356,2.075658118879047,1.6581111059818567,1.9249006269946103,2.0035961755128255,1.859812214602689,2.8410708542253107,3.7394176001874255],[1.8393040186417586,1.545741184997002,1.4396263855747957,1.0530344498810684,1.1188907993526869,1.2516960690274614,1.2021815274315868,1.2129021793291765,1.1354780908433457,1.1136478312272613,1.076055066537187,1.161896408872642,1.1273509945709108,1.0739621206817982,1.159272709810404,1.120223420491349,1.1042724513468234,1.1316933626781003,1.1473078806223953,1.1717660483869743,1.1668951322246939,1.2819219801584274,1.2389130648430844,1.2297551361709367,1.23009235143329,1.1922787640674388,1.1720770309468982,1.1206560278693958,1.1254810173241279,1.1315535932287242,1.1070805494401728,1.1569313573365374,1.1498337864227213,1.1507831745292563,1.1616016637799211,1.1298401012727768,1.1648998692245087,1.1664501246151189,1.1638742595635052,1.1558521101472428,1.2248100365528487,1.2624616691564317,1.2244041593582562,1.2054464630266342,1.399486741959881,1.5534393785854412,1.4983391538664517,1.313222370792667,1.5481252881885867,1.98711449164223,1.3094813001855916,1.3598810988948622,1.2674582164569488,1.285352903112102,2.009823817927461,1.2368451435272847,1.2330633419629011,1.3306594493943353,1.2482395965558086,1.4893908037740775,1.0505810818974628,1.0969297720062838,1.1137007101435814,1.2796329952816032,1.20177663648864,1.148716560934975,1.2683220420082189,1.2025996841584536,1.1804074421270307,1.1949989454100738,1.3183828544335425,1.4568186807699612,1.3252370519983554,1.3712003792246725,1.1617281603379985,1.3974544224072194,1.1441903366379793,1.1300086452918183,1.1535804359446435,1.1534320511563334,1.1705628880638814,1.2287603006974706,1.515115031629175,1.2217279789958844,1.2075543117868237,1.203819463070519,1.1992606518109,1.2150355307133245,1.139573349511879,1.139089280420821,1.1382237576409362,1.2001171311424939,1.134548557943737,1.123884050880226,1.1286779034248395,1.1159213927992333,1.0950061434596376,1.1512573089895124,1.1767122879622192,1.4040631624382505,1.2428473130726398,1.3720215103097826,1.2034051610801748,1.3319213733258504,1.2996553945359302,1.3285539518294722,1.54049612429461,1.3721904172589188,1.3831645509299624,1.5363200706942848,1.326364700635569,1.23619527969055,1.1970750535985561,1.1581887250365275,1.1540184393321582,1.1155390837955863,1.178120398072241,1.0857754042857,1.1252110843664438,1.103742493277956,1.1123720255198348,1.0870483408699518,1.0826058025660719,1.0810542585497558,1.1215589895655476,1.1799267583239115,1.2577966448309439,1.215451156982343,1.2543846270526766,1.2794417168600187,1.1499995125053986,1.193936708809013,1.1665298960064634,1.2391585833006498,1.2081681221393552,1.3013405005147765,1.4995933201506049,1.1195627691450694,1.1271633526906577,1.1343311796623716,1.2185742221604403,1.2146410983189246,1.1282963030308502,1.113912270844356,1.1425709994527642,1.1927822906560943,1.1689507915600785,1.183958205591674,1.1885651052953496,1.2211904931902229,1.26995811097495,1.2678939922319812,1.5500364167000955,1.9352000992689438,1.5607690341990976,1.370310265594412,1.2309511343727753,1.2939161006481035,1.1876331522608592,1.2874175308916866,1.197155602270298,1.2166045194876909,1.1738713574352497,1.171963800387222,1.1446507631302365,1.2981117315379593,1.3201153056800141,1.4521581905174694,1.4846481038330819,1.4625028189966975,1.2947130378993623,1.1468916692176407,1.1335042426363706,1.2131338757444678,1.2046256302674498,1.2282263472062223,1.171133057958839,1.3152486032204298,1.209631841597384,1.2099381487490173,1.2208091347978978,1.2345088873552508,1.2007337413504493,1.2650792313196653,1.2585339926731343,1.2089359430164834,1.1040122855194516,1.1112124157493921,2.3554146625068464,2.6269742145828214,3.1286106702782575,1.4921439784900254,1.6352820800917207,1.4695117523873726,1.1722985031629019,1.1998107544019734,1.2760110892228114,1.1342879320729335,1.1553876567945989,1.2258024839533819,1.4098238260184814,1.5955011157860102,1.4075967953746253,1.318448371384897,1.581085538744437,1.6569417376025706,1.3073034329173805,1.436751917540419,1.9287770154617554,1.6797610289491316,1.5012678132600619,1.841005069589982,2.1177711555186103,1.5545691999077444,1.611633476139117,1.3670633061869735,1.7110775172639627,1.3178351755469164,1.3454714633539713,1.5620116374201236,1.6799354018310135,2.024634527060361,1.641684002729158,1.9898361251075638,1.6849219722282616,1.7361051489165196,1.8536147219560113,1.6978030293112625,1.678526306446199,1.5240583261171803,1.6360532769160676,1.4451771336247796,1.4572968993209288,1.3916689469539398,1.3964136642334846,1.3136431937260717,1.2221854115208466,1.1761883976585465,1.1882515337609165,1.3624558970453584,1.479655045643481,1.7109407973668689,1.9277799354119614,2.2544065439750374,2.1732818824044107,1.9666576766327837,2.1523083157437695,2.3739961008070547,2.182297947189784,2.094338820637347,2.5065783175440384,2.657207092584942,2.330343934564034,2.4031421270762006,2.753353868930612,2.7512870314790865,2.344499863637913,2.4380097524658537,2.109991362880199,2.1099047590135487,2.0166606906225097,1.9022803455788795,1.9057421141151774,1.6879987618172843,1.6200622620072298,1.5632216354159745,1.5043050244367375,1.3608348624689621,1.416490585006489,1.4621846442537405,1.2510508380406882,1.2270612498161122,1.316812863309107,1.489849429337416,1.3417248199986471,1.333893353461838,1.5754152370573076,1.6450068056397238,1.688183637757661,1.346614195913272,1.1458404059803822,1.1685728712883816,1.387420132529321,1.4211554101969504,1.6298596496968367,1.559090478490536,1.1480700714215202,1.062950453913412,1.1478757241085378,1.3391988506143655,1.4073012290342946,1.4581910345760287,1.7012277800656668,1.9971308283357851,1.4275715088466234,1.6627959033047852,1.8813093131706375,1.9528434208146923,1.535389198834641,1.8791021312469287,1.7521041915110986,1.7805402811190305,2.7333428020018653,3.572938275899541],[1.6302223528105357,1.4230340064000009,1.3874537101495388,0.9218041122020233,1.0029942971894963,1.080459135161354,0.9943957085264573,1.0635953986234703,0.9499022736710695,0.8669914547466777,0.858829494985896,0.9787496506252839,0.9040231279509509,0.7971701944965005,0.8952756481169319,0.880299983263921,0.8375541451651829,0.8312687004311111,0.8188099265816896,0.8639358078869745,0.8297709296873281,0.9491943678768461,0.9197162834045804,0.8999295188262973,0.9093235299983975,0.8496861958843979,0.859089124047065,0.8223755480114048,0.863227337036242,0.9063356202353916,0.8678952736754338,0.9730992959313256,0.9593960537613733,0.9302945479298221,0.9487281407617872,0.8992344697272558,0.9676570244604874,0.9150263180557883,0.9135873467325933,0.9356260989579331,0.9573327086175816,0.9409960154804894,0.9264632884563522,0.9352685898121939,1.191778690789287,1.4051530467000641,1.322537655548656,1.023249497016219,1.2802464680949874,1.7907298521061994,1.1646583609594896,1.3368104091259407,1.1050820657784077,1.1700245689075484,1.8644689954564115,1.0637502042090208,1.0171965086371757,1.1913497949964986,1.0886053313955089,1.3007091767412777,0.885177793380625,0.8411710323760092,0.8395598565130855,0.9961225240433448,0.918539288476528,0.8629427084470076,0.9752519731101043,0.9148418202501665,0.9193745854914134,0.9350904108041236,1.0677694042172128,1.2262421296597437,1.0923225158449559,1.1020534847619117,0.9014287488270235,1.146340250845735,0.8726599403375398,0.8805472744628201,0.915117494764764,0.9413238884151766,0.987380093671063,1.0474255666955468,1.398146650321299,1.0590589695989343,1.0137625926603062,1.0016982515794206,0.9595248589548367,1.0162847495674159,0.896971629154112,0.9350982145160239,0.8933355433859929,0.9855831982117149,0.9038110492476727,0.9007120454021954,0.8954785839317533,0.8917639350680208,0.8620173868829346,0.9711760231363596,1.029165843563005,1.2932032648962513,1.11716783524537,1.2653478942891598,1.0674002556713131,1.2257141201932618,1.2145505946682198,1.2410288642216818,1.4703609540755505,1.2889753055981017,1.2990995070969913,1.4187873618136393,1.2301191890360619,1.080985140916406,1.0007408105575586,0.916262349718131,0.8827167994531743,0.8119182218454309,0.8797987393422365,0.7658924214465471,0.8176016709919454,0.766624194807408,0.7597973731849033,0.7560935802541641,0.7364101666778651,0.7546184954173121,0.8283218378070718,0.9176758774586831,1.085667275162427,1.0443580349970794,1.1325947309531774,1.158553435976427,1.0898210158706485,1.1837939086776286,1.071278843701615,1.1288571585822365,1.0549619246014004,1.0903119136291461,1.2624958393893009,0.8990617974655968,0.8437759228751811,0.8434349881436116,0.8720566100618086,0.8980481502135153,0.8000732766037637,0.812716169617615,0.8531710472906275,0.9187505561466852,0.8967335032091946,0.9417363086653227,1.0028474014427535,1.0469293404738242,1.1647133737920523,1.1634181124726088,1.4697491979471666,1.8248782875638445,1.4700858274362596,1.2582343815293353,1.104431142712527,1.1811239677801522,1.0347749887173823,1.1673892750659707,1.013771002116667,0.9935566125987721,0.9209791916279223,0.9304336664698888,0.9275569243598182,1.0480779199199466,1.0488186307009435,1.1982869388563007,1.2502838815549149,1.1959454127954174,1.0453909288262397,0.9145991577688364,0.944864260313733,1.021557810234666,1.0266209174518863,1.0894747860311045,1.0304647837528682,1.2193716782988102,1.0533486422979847,1.08476850168602,1.0739002961475004,1.117870034362547,1.094813827667854,1.123134930292215,1.0823083604729975,1.0175266368079905,0.9214434155310297,0.9245089824386115,2.1252091011879655,2.345425477003517,2.756063740547762,1.327192498793984,1.418203137036733,1.353201686502048,1.0899929203345489,1.1634534932927256,1.1848611249808163,1.1443945463175698,1.1832798111931853,1.25178218556389,1.4264870035145303,1.5788611891765756,1.3785937543018878,1.34988562129994,1.6142061535464367,1.6639960121621826,1.3190859063003848,1.5069972706309107,1.9854124666151631,1.7207114958223095,1.585607648054358,1.9675984954373265,2.201156049715074,1.6387775708162076,1.7770443604387602,1.4833079591486815,1.8997213637489676,1.4499185966877923,1.4771910931599082,1.7188860701497393,1.81990018918541,2.1175616316887647,1.7780616298757845,2.0747472491148633,1.7940084809705619,1.8198425211590952,1.907052223182724,1.7461864752741816,1.7943608841884697,1.5984712853394245,1.6751919427425068,1.5371584480574845,1.5416864496416123,1.4465473684170225,1.4367819121591572,1.401881312464351,1.3599503639516364,1.2593009110915268,1.2631031420506271,1.3823880925037029,1.4838308231757231,1.7180637042351785,1.895024752454084,2.240928356094004,2.1171900312533927,1.9250627238225004,2.153851641428053,2.3442842765868295,2.125216630683606,2.0866653080276727,2.507169818205227,2.6366928508107357,2.33380913650118,2.462355426654358,2.8088845258079935,2.803497988373269,2.454455484888729,2.5596526814884477,2.2285167733283595,2.2023168341203903,2.0710675793410376,1.980194173162027,2.020863724881514,1.7739821375322273,1.699579132553332,1.6779526848819462,1.618060008503821,1.4586148669930323,1.5330467057144448,1.5827766913387462,1.3818244188049094,1.3838177743602844,1.4952299560654463,1.6472181101097467,1.4945138707913348,1.4683520477246943,1.7413594699037107,1.7863930986366425,1.7905199289055937,1.4658543891747398,1.2476888146847178,1.236017439811408,1.5171154792185995,1.5689687543351192,1.789804782256707,1.7092053786527877,1.2658045878201727,1.122518175706732,1.1529834492480993,1.2016781625408963,1.3438421793127093,1.414576213449683,1.6651460199660701,1.8194998401164633,1.363561820198311,1.648898558636067,1.8636955994071784,1.7714010809310257,1.4416707898685763,1.9463028862714176,1.834808793075669,1.8576625638983528,2.9215870245236704,3.744935414324859],[1.5874850343195435,1.359496062351383,1.3439096309176393,0.9802437147535342,1.0365825871764032,1.2217238445928833,1.157268961880469,1.3065834944133914,1.2597492447155583,1.1495455338925433,1.215601757627984,1.3203184148360072,1.1842754312980157,1.1283079570856454,1.1922988828891907,1.1844929520499905,1.1103690585428434,1.0642171763520691,1.0059520095935548,1.0352668477290516,1.0220254201919114,1.0807967346011835,1.1232393036577693,1.0380020210183765,1.0557576424563382,1.0172975561827038,0.9633948515673643,1.0071818647800497,1.0872763852983163,1.1600975246498075,1.1793306236714785,1.2831500626533372,1.3263556545101596,1.260142450833539,1.2082775368360885,1.1479205669624175,1.199827748954331,1.0781612660512068,1.0231490358885442,1.018421667024829,0.9744157501827198,0.9847186471376931,0.9781844313646749,0.9795966003172919,1.214760330992295,1.4287755189777511,1.38694599385842,0.9814306719267474,1.221104326784687,1.6818966836876457,1.1795589172841834,1.4900647025541112,1.1540224611416692,1.2840730193179388,1.8842423738479246,1.202309286330784,1.1909858148507977,1.2488096479233206,1.184104398046051,1.5139623667297981,1.138089180823208,1.1211156951579093,1.1550095849264788,1.1851782770010788,1.0942729606460138,1.0778369808738912,1.1922763412063997,1.1048352323878305,1.1786132980937376,1.1933353414156629,1.2233812175195964,1.379176578519548,1.2921487114392958,1.2971155893836903,1.2171958607881632,1.4491597938210576,1.1386118531009493,1.181031021611486,1.17258640955858,1.1601376777573869,1.1973952872738962,1.2184424267295357,1.5935044118413593,1.18054214631774,1.0908682041013837,1.129016135318752,1.110345768835343,1.214590355223764,1.1303913747256946,1.2275367322169524,1.1921535516203887,1.2635867555560876,1.2389093349722526,1.27673527095204,1.2546503070511852,1.3049621060327103,1.2826513399864312,1.3185467242782356,1.3653984820504415,1.5566008712773578,1.3962057356469195,1.5148596709653854,1.3576165193843714,1.3899315940717798,1.3580293350242671,1.3550953164254618,1.5588600916842386,1.288358538837736,1.3021495648635435,1.4503386923661854,1.324882127363182,1.1722923630759507,1.137112597347304,1.0237454291605246,1.0614728340725303,0.9751413612601995,1.0091379045476432,0.9248570684555245,1.0001919922528748,1.043719095275462,1.0161250914891897,1.0329321145996078,0.9769995077614414,0.958275724005716,1.0110737845486344,0.9859454300044438,1.1428536867547587,1.0538871060235622,1.1738347093898904,1.2074084462863377,1.118618704849143,1.2233318220669134,1.0367132241104393,1.1550652420088081,1.0186342441492644,1.045291102402939,1.0780690392848644,0.8788257697725217,0.8282256134191095,0.8555081373078417,0.8860257173697057,0.9162156227931804,0.8838604971598817,0.8842000546528745,0.9286740899611492,0.9975258459019273,0.9895841600892469,1.1220881389353037,1.1516614822994082,1.2308564693053867,1.3736187397195938,1.4343955567045805,1.7218174942811095,2.140344578871191,1.795423588018149,1.5296243518815815,1.3697294030073566,1.4093947434944105,1.2938934230642054,1.2989035119606962,1.1123231948480456,1.1036073974131444,0.9621934054764514,0.9938590223312188,0.9354593382558783,0.9385891977999411,0.9429297479196556,1.1074156772720058,1.1548898072972293,1.084244587359402,0.9337071945665446,0.8950938586582152,0.9794716835589662,1.0555158535304807,1.111089291086267,1.2299327773788347,1.257686903525296,1.370563396409078,1.169546758696401,1.2092702334340595,1.1190006865884454,1.187822005589389,1.136847017126374,1.0550040884443919,1.035686129618009,1.028375393951117,1.0172929511601811,1.0268372212287888,1.7440372048097825,2.1524872276442837,2.4486116303214285,1.2313872097793137,1.2242987615203398,1.2442335386255843,1.0185706917788107,1.0492872265759028,1.066829291797599,1.0848468149336568,1.1074946061510809,1.2708051609724853,1.2324961722444574,1.4290514541699761,1.3332395649639237,1.2275326613819497,1.3843771840373411,1.5079207319582093,1.181849915108696,1.2924145416749993,1.7254899145031746,1.5740593479145764,1.415435639541853,1.7197773976408863,2.0215637887445213,1.5393593656049898,1.582742115929308,1.3062569202222558,1.6349734973459802,1.2409683316243112,1.238992051094055,1.412533919529814,1.4326710256992825,1.9102390180153286,1.4931311061836738,1.827523775603621,1.469364171898402,1.472210854944861,1.569794821798302,1.4090081458796084,1.4482653449227239,1.297363275937756,1.3929411855564595,1.257129419916592,1.3060202683371693,1.2366382249400139,1.267222382662273,1.3423271336951075,1.287486408203337,1.2405805780803927,1.1606682787961335,1.2436831128760548,1.2742851402638435,1.447710066476505,1.6651742390851056,1.9415193822228154,1.9284477876118942,1.7276348609501488,1.8615738524896117,2.0658062191335946,1.9511934894732685,1.8464263212723506,2.2074313117481594,2.3716085387729327,2.0944337120255083,2.149768344899378,2.471631856844517,2.5171415294539545,2.1332887140499195,2.1856228728599723,1.899692968239938,1.8555759501714324,1.7496697896788265,1.6140907469375572,1.6301019392409501,1.4597425920203235,1.3907953200533545,1.3392109053261072,1.3108916606990613,1.2136953633859338,1.2575247863177836,1.336685153596705,1.2244246316470404,1.2810219154373665,1.3666480579832292,1.6132160911120113,1.4818242417793759,1.4688347378449562,1.7550210276748364,1.8184274443953816,1.6962659343648598,1.4526167413980753,1.1555253479825627,1.1791385893163742,1.5190672255687492,1.6394387062097926,1.8755268751940315,1.864024919392557,1.2605321757943062,1.1963656810958558,1.1809340365699437,1.1989129401538712,1.418285236516469,1.4855212099720299,1.6350049389653094,1.8909779530247048,1.5224979835602224,1.6645325679297933,1.84147183882145,1.866926764746974,1.5797506060641922,1.918037771237594,1.9598074266035561,1.9564216657009283,3.1023063452456845,3.604431845252554],[1.3834176850153606,1.3681230079832896,1.3198376986324847,0.8648639753439641,0.9192278035636248,1.0111724951584309,0.9382105012541896,1.0069169554952133,0.9118685842366203,0.831370374485193,0.831620433224209,0.9569611529270363,0.8635605875214065,0.7753608729877813,0.8296701241034111,0.823289002215431,0.7817819315762787,0.7362835525263688,0.6969392735370906,0.7385403746330501,0.7238514354099619,0.8514476860519619,0.9053907168705243,0.8480735456088446,0.856481611174669,0.763435998123338,0.7408896699487207,0.7323683529748648,0.784510534840652,0.8474616632894256,0.792887632590946,0.935654180490309,0.9409469614202228,0.8907592897890968,0.8714868942086886,0.8196457214672511,0.894350004070571,0.8135584327725224,0.7756790195477059,0.7870358778749804,0.8320001547526361,0.7968032896209699,0.7762256602882608,0.7820609047073571,1.0898959778022645,1.3764469097729382,1.339357477498638,0.859369531247663,1.1713485412130291,1.7104779136161052,1.12459058310168,1.3907841280134394,1.009781176735684,1.0988586274779668,1.7400140461676394,0.9996955098309219,0.9757803319815034,1.0296081243226767,0.9227560588911278,1.3440785750889523,0.8124744413035845,0.8130165924757388,0.7881865426803231,0.842275828474205,0.8434988827894205,0.7729156425339807,0.8763211183714154,0.7744474799174769,0.8490949802991848,0.8622913103344466,0.9783208025234896,1.1740533935958979,0.9993836534295987,1.0356206334553684,0.8545749555669495,1.1462126376943995,0.7861678991340639,0.8130019500902462,0.8530652692938981,0.8383102309732794,0.8919425595080798,0.9876036750347473,1.344476077941449,0.9513656077315263,0.9020166054606134,0.8906415532816504,0.8394803157356657,0.9314703914127809,0.8017809526618995,0.8777388395577392,0.836394595731817,0.9081995349103152,0.8371665983429176,0.8680796162303863,0.8540822581873845,0.8743448077368399,0.8783645215211241,0.9273324493350846,0.9780850426354357,1.1929320186587296,1.036221768776916,1.2091337035141687,1.0403797203789278,1.1397661537381552,1.165920200097139,1.1780515997683216,1.4097074233085327,1.1933620627542343,1.2141207366281535,1.3601723596958748,1.181065222467994,1.0184220367634262,0.9292145307730963,0.8358070578549114,0.8163466973022264,0.7446886613656127,0.7876355426195267,0.6726234197910194,0.7115418826577067,0.728928256762306,0.7193509849345342,0.7282404260390252,0.7137059917139944,0.7104941457150534,0.7805564003204293,0.8306205165520911,0.9811471907079405,0.9638274310075949,1.0779430827947252,1.0966936351739456,1.0300654579977968,1.1184482731566245,0.9687543313686628,1.064963715079387,0.9439398661341061,0.9740085887795428,1.097499066969468,0.8033670654295983,0.7130724088585276,0.7062348656075672,0.7304085024123286,0.7757858854702852,0.6743206514088383,0.6996178020095045,0.7413887703101397,0.7889308150361574,0.784082696173325,0.8603160909121391,0.9120367067447469,0.9829477662338494,1.1011124961153138,1.0995758392613049,1.3652058059901733,1.7946397430227803,1.4267616649439046,1.1684991085600012,1.0289744801398477,1.1142690055839994,1.0022789426044507,1.0563603627670959,0.9146977454590705,0.8765664694134082,0.8057662730399955,0.839718906786026,0.8067501866673579,0.8721994116278773,0.9345148881091625,1.1221376154663363,1.1854851167183922,1.0685599782534638,0.9216736273466458,0.7964733607232578,0.8420150447736796,0.9059609890380941,0.9211686913167205,1.0175851018308384,0.9968499307571366,1.1350841770534608,0.9476868558407626,0.9852285987372376,0.9635878183605541,1.0244498541851161,1.0212687446216122,1.0207113618729629,0.9593099211130952,0.8981395693322325,0.8637457590746829,0.8708096771496052,1.8491105491073152,2.1945798614821115,2.499519243972407,1.3119210066348725,1.2902478316551558,1.2644098100132362,0.9914237406538189,1.0496794747159277,1.05172864030463,1.030316235825383,1.076429077389911,1.1780237913615075,1.2436240633256819,1.4224214545928444,1.3017262110097523,1.2402170566032495,1.4447624663854859,1.5672912466075566,1.2431030533187981,1.3961458592756537,1.8471373291774684,1.7359886746721302,1.6074875760986451,1.9569904513359713,2.251813508269116,1.8127161858963727,1.9458939246004887,1.5875889907254608,1.8375637568265422,1.3516236164647972,1.3489945931380538,1.5673319130030208,1.5751335225045058,1.903624047067275,1.5653505814203255,1.8195361459092,1.526789596977304,1.510789057891104,1.5839270824434302,1.4344766240325626,1.4884641954859708,1.347850750830229,1.416855667258915,1.308003831957033,1.386169883077203,1.2759685592291266,1.242133963765978,1.423356451305328,1.3293933314707034,1.234058679064432,1.168184395608123,1.2049084180536782,1.2600171296806524,1.4623646670469483,1.6267838618038588,1.9186026832343288,1.8568720279056528,1.6872412548154272,1.8628775434470517,2.0198252411536757,1.894014386824247,1.8643474253962151,2.2283621234002853,2.3817664390876594,2.171059680226104,2.230437281443378,2.5454447104747753,2.628838385580317,2.2869949044270363,2.3158304941866854,2.0264759553126024,1.9403420521690677,1.814933108085288,1.6790933732974234,1.732972876027975,1.5711910565971499,1.4647570093541473,1.435001171969359,1.4190761122605544,1.2900189372120443,1.3503584641216566,1.4146598568491824,1.3014085163469529,1.3445565061752371,1.4111501750299196,1.639766799095264,1.505253031212822,1.4758296251386163,1.7752796250342993,1.8079784583721663,1.7234220170900023,1.394790542617485,1.2085162574016952,1.2732947262674321,1.3591236285334254,1.503060449855407,1.78643718771372,1.735894747011732,1.2022109392781841,1.1288529774930298,1.1137603575660673,1.178684891853211,1.4006082675750835,1.3672062882224065,1.5951756071742464,1.788842766550196,1.3559480766458323,1.676279969168063,1.8110342003768047,1.7486127771269986,1.5259622752622526,2.0420026506116282,1.684896362136014,1.8296876272382439,2.8405453880592306,3.40973352316228],[1.1160612331258604,1.2054002119195577,1.192618615059966,0.768262370012153,0.8305726508046133,0.890633305043317,0.8169582806008716,0.8653459309565499,0.7813015191559078,0.7039787555578207,0.7024065413629068,0.8137522570598041,0.7333410270878086,0.6585499204574647,0.7119580669706868,0.6967551484150689,0.6731181717710496,0.6341453880430414,0.6167571060937558,0.6485212476010287,0.6526233720661389,0.8012987200136028,0.871196133193958,0.8259334868332576,0.8182818621757582,0.7043367290907271,0.670216761967398,0.6453794483292417,0.6732232387448789,0.7150491818686812,0.6664524746706841,0.7919663953953321,0.7975137881371636,0.7513219860351603,0.7355761159179134,0.6964870030945716,0.7648658148760429,0.7204590755646144,0.6788594569734411,0.6936740094510611,0.7601842418828667,0.7375119141818416,0.7092288359722431,0.7184679907152385,1.056770459873692,1.3455505456643149,1.3308607515959465,0.802400535351108,1.1129181527319805,1.656494460689457,1.0665046245316172,1.3481314088149037,0.952192075647575,1.0350138147731858,1.6716376578549434,0.9493879229684759,0.9113520891958793,0.97648328689384,0.8377683290456839,1.3208785606874582,0.7445644512584889,0.7294198076190866,0.6880122860078789,0.7719807967473509,0.7816339497070274,0.6932474527755019,0.7794353379598334,0.6682572447471749,0.7744556836648265,0.7724753050239205,0.9008131151630008,1.1313678607574829,0.9180938440530111,0.9824255226165313,0.7654865818424096,1.102719460601232,0.6773386104672244,0.6960623237206621,0.7394350030629472,0.7336299448729553,0.7646377768114709,0.8840994164914919,1.2422920093900458,0.8344927505675923,0.8010688726748085,0.7729882746917989,0.7351490962007006,0.8262617416941708,0.6862951939141055,0.739997418284142,0.7077108166294046,0.821377138610716,0.7129542414143493,0.7274583636087132,0.723213985549395,0.7445424768408082,0.7624722116625609,0.7803264961348096,0.819576443124604,1.025793801785646,0.878398848474485,1.0540323522060764,0.8863578352079001,0.9956172394996642,1.0334960230509715,1.0474633508723892,1.282129515478513,1.0580755463368279,1.0808470782969273,1.2282495826958015,1.0504678608700564,0.8886792008292804,0.8023462206471889,0.7240499300090266,0.7102368647661463,0.6564344964412999,0.708280384405745,0.5987120036054717,0.6541750868090286,0.6491188443354091,0.6485179162299848,0.6460616319793258,0.641689232079081,0.6193184360325508,0.6834549549638836,0.7293737000131261,0.8620409339092144,0.8549470143851391,0.9684928635176082,0.9778426692545784,0.9462321421267752,1.0300397708795006,0.8843588916142663,0.9547592000528445,0.8514359305296442,0.8704915734653617,1.0043115357922523,0.7356247625283244,0.6315385016854428,0.624228634242335,0.6794205473226723,0.7409819414412593,0.6071492164136983,0.6198933295711392,0.6533664275466671,0.6875166028564171,0.6836282606195236,0.7438066681915692,0.7861486957409197,0.8462346552477957,0.9532983313413661,0.9553114980960581,1.2127482903135243,1.6800468918290914,1.2809342577553249,1.012489606827244,0.8751816715716957,0.9633805194195313,0.8546461655809308,0.9189176937505471,0.8007011803749339,0.7696045936564935,0.711436528951941,0.7448471322974797,0.7291823088340332,0.8073958851632157,0.8744243063537613,1.0992739301770036,1.1554677602113301,1.0215640633627967,0.8500206913879327,0.7145434556479281,0.7463728904062916,0.7957706542188506,0.8010878485182952,0.88242581180576,0.8573207889409856,0.9943557338605277,0.8292076387876909,0.860245416054522,0.841881570709451,0.904233522800719,0.9157062267768652,0.9274554240800462,0.8700592839577912,0.8097721015339924,0.7721056444436454,0.7952744307875869,1.7559138371082903,2.1652822372782574,2.4386015787631115,1.279317826593567,1.2289778504271447,1.2341196860831325,0.9364441763521465,1.0182077495079367,1.0104130156303357,0.9815871324637392,1.0077399885941278,1.0908374272671733,1.108206693738508,1.2594339871075888,1.1729873953057688,1.1237861274788548,1.2818570260575766,1.4187351691727723,1.156213351413235,1.271087784018071,1.6728408396324237,1.6299106386389037,1.527074027440865,1.8323619468494106,2.1270322064734466,1.7960765055538677,1.9167814179627722,1.5627125512846556,1.6971407036863766,1.2785938198757267,1.2494420530136092,1.4175624048088313,1.4117391358843565,1.7709206358162977,1.4669456094071558,1.6639919667442467,1.3578194443490952,1.3237102421529527,1.3777254508930354,1.264574439286573,1.3338176139383457,1.2036073869062227,1.2854173458770357,1.223297779439257,1.3249843133970702,1.2018676177411804,1.1902680735721574,1.4499554417441962,1.3301409607448864,1.237974649061296,1.112427959453019,1.0898505520885189,1.1169175338105883,1.2822000930003732,1.436717891574994,1.680792101885679,1.630007521055069,1.493993883566566,1.6370640259899603,1.7653595637726298,1.6691156437203571,1.6558409282432194,1.9848303210255476,2.1452881413480616,1.9710734635657265,1.9981708935404279,2.29465939430964,2.411290930789613,2.0785304897108174,2.072649873720634,1.8138783773920848,1.7125722755582327,1.604935100554652,1.462834887648652,1.5202762887131491,1.3978777503374231,1.2995599399108237,1.2835909360919517,1.2827871342376531,1.169958999445861,1.245263329720863,1.3352178540969255,1.2434808478735362,1.3187973898122212,1.387781840461629,1.6273740748366308,1.5081085381223946,1.4712850420451309,1.7883931705408644,1.8045698944149176,1.6458726688965781,1.352594406182167,1.1640174530132805,1.2536176483469679,1.2716361737659903,1.4801957635701568,1.8098344908229018,1.7806299879733871,1.2034647018713442,1.072447712840419,1.039903903420841,1.0761560973027304,1.3036694841046095,1.2247403857679608,1.4378748886202177,1.6383967529042738,1.2211813853589684,1.564490076674721,1.6386642101988196,1.5637056824198108,1.386147731893732,1.9334389603445805,1.4726928058398612,1.6783845007001987,2.6754823824487355,3.117685464238722],[0.8870677962873911,0.9418794587289347,0.9561863510337618,0.5647814986696726,0.6341585375987916,0.6723228668201325,0.5748642214777678,0.6385528953286569,0.5887014961903813,0.4889045577087821,0.513097958412025,0.6117222082495157,0.5117793046319177,0.4708265146693818,0.541368905807278,0.4840716760324251,0.48190123749771496,0.4608602463213149,0.4902665101203212,0.489646726862556,0.5237984822388652,0.6816423649980047,0.7803686786859904,0.7732453140962849,0.7054735754963307,0.5722620271174564,0.52101514705807,0.4645831736731828,0.469114486875348,0.4812890646916316,0.4995036782883622,0.5559624516155076,0.5824500131821883,0.5323145746793753,0.5084867543386665,0.4821219785659179,0.5291715857198853,0.5261735668223562,0.467662927271082,0.49534840693987636,0.6078943712988517,0.6016942104759806,0.576746296373647,0.5949162200787659,0.9990763854614391,1.300254917684324,1.3160021539364875,0.7012957456496298,1.011101528212966,1.5789201327822935,0.9901217199886299,1.30595275416305,0.8737197171859391,0.9152491512354688,1.550895905267213,0.8514802316173959,0.78685957620039,0.9233350106917131,0.7298531759046158,1.2953804254732166,0.7037181504517603,0.6049488018355053,0.5159869534708231,0.660403187124099,0.6637557047116285,0.5381055002453384,0.6637341539989582,0.5213040521210057,0.6591582116847919,0.6616973435659202,0.8011816951021955,1.0490821070081522,0.8201801292941606,0.8664914493523319,0.61688741651379,1.0168233978980412,0.5029052636456802,0.5098440655671078,0.5355501535550938,0.5442691963313099,0.5313640530428085,0.7005896131740742,1.074170996845558,0.6067991782226931,0.5856820095779426,0.5412935067099337,0.527274313029309,0.6273118946252274,0.48076509200038847,0.5449525699145263,0.5138924085978258,0.7218814975913349,0.5755324537611171,0.5387123738545095,0.5404709311016543,0.5895292109702122,0.6031095023511113,0.5861754348262662,0.6107478411264111,0.8290757315332804,0.6542235919293039,0.8300960596523161,0.6369547561680334,0.7628812337428392,0.8092285311896968,0.8204662616598695,1.061218525296408,0.8419614750399839,0.8680827318410912,1.0054602002833828,0.8230785946474428,0.6388255808659958,0.5473262915788921,0.48058531004930244,0.48058369146434987,0.45487969413698054,0.5368926519035309,0.4415173242015786,0.5808515728471436,0.48148338843551186,0.5028685632982394,0.49073367127669526,0.48211866361364786,0.41308485287126423,0.458328544391668,0.4954187447844667,0.6591897012824162,0.6206215771729559,0.7483101821785384,0.7411957515536444,0.8018936417145478,0.8997130529445997,0.7386624244249576,0.7445759280859461,0.6620333892811662,0.6462947192765609,0.7859318699817142,0.5766811504217769,0.44197518820429726,0.4298723315001081,0.5599323722526132,0.6625750226700088,0.4557828651084518,0.4296332336440089,0.4399124000957312,0.4627555562594188,0.45950135672524334,0.5001495856495614,0.5349775156813181,0.6073580094239031,0.7217836027581643,0.7442258697776108,1.008420071259545,1.547568035436147,1.1217126992249167,0.7959589907460188,0.6497092354707092,0.7265015614970465,0.6133321419233589,0.6784245625475941,0.5638084010362631,0.5217356200798462,0.48392385930580556,0.5162666320239745,0.5553941305464659,0.6560742423869863,0.7103201165236398,1.0042271346350171,1.0659449404485106,0.8949900312295208,0.6802652690083453,0.5313966283950825,0.549657425752544,0.5517641730207172,0.5465627810977548,0.6363702887068633,0.6244000509248403,0.7453994282374556,0.597824810877146,0.634246856746308,0.6156180727656315,0.6760668784369911,0.7233076235114907,0.7574366147850857,0.6740501260856808,0.6186362278189691,0.5755935830507448,0.6615365371192204,1.5476912925384845,2.0305218215374494,2.252361547633684,1.1676327206919714,1.0730313562805167,1.2158844678053213,0.8718807747396475,0.983946568286225,0.9630429981265175,0.9523422466687825,0.9459858743006221,0.9850542928944337,0.9580612054308226,1.03869746462251,0.9753562731174839,0.9791865339131095,1.0883994757953666,1.205325392549816,1.0090557435186542,1.1301223765765365,1.4674217995187169,1.4601412859275371,1.4067660613470088,1.7014541950666326,1.958618979674818,1.7075304954856765,1.8897087156090226,1.5447726978023215,1.6260333909008837,1.257433918808743,1.1865875472848393,1.335056960954522,1.365525404960311,1.7041224810713058,1.4168443146022613,1.5541582244019974,1.2606184616903027,1.1901023106904114,1.1980046182667283,1.1443829655217828,1.2653640924477405,1.1011931528205405,1.1776861884279237,1.2307817340706215,1.326003278278635,1.1643672388466888,1.2116957957949601,1.5289208016418983,1.3769667085598538,1.293400063829837,1.077260743636996,0.9885426891281356,0.976592962716462,1.0829726801835864,1.2134307911676472,1.4131787533886042,1.3535928180879062,1.2531382112925236,1.3833757160507028,1.4841867612865907,1.3963027452907513,1.397768811597176,1.7184993233114982,1.880949404274788,1.7273470697613102,1.7661231531955341,2.0603967061207813,2.1926813118916755,1.891315643010671,1.88409903752948,1.6355521132709185,1.5090010985290052,1.3865210727258863,1.2666207286184805,1.3578273250480362,1.2364427808824217,1.1465896423737598,1.1873476532179577,1.1955121800457336,1.0909910694835128,1.2125196264720823,1.3483084272334647,1.230826698979081,1.350446563065709,1.468677357747041,1.710230262673422,1.585187537245228,1.5045675983684483,1.8552433698822752,1.8298975949091214,1.611706297422515,1.2926003145831737,1.1062461538314308,1.1893237224174706,1.1580305236415593,1.4254378650075503,1.81212802111817,1.8254373061173779,1.218872940288494,0.9711253906733907,0.9295980071936216,0.8556629610034255,1.10612913820349,0.9970093938448304,1.1939346799112414,1.3713397241872984,0.995762605510927,1.35338452720722,1.391417763447158,1.2876648291867896,1.1382343155973833,1.743944390285277,1.2651180026083164,1.5371115395190036,2.5649141592435925,2.959601734355147],[0.9170236009514452,0.8572538070599084,0.9341628188314106,0.5540101048731909,0.6629724994264174,0.6202088924230897,0.5012847639237736,0.570167924558929,0.5079637552599346,0.41147211773755243,0.43691394360084096,0.5074840503110881,0.4285544355214968,0.40731397735852715,0.4696884207475511,0.40724847358613964,0.40953338244080467,0.42602429569699124,0.5000818559470446,0.4789252363350282,0.5372808806166273,0.6822734781696995,0.7853629729776986,0.8193457636809537,0.7244388592121097,0.5824590578042904,0.5051625766840664,0.45167101465396103,0.4290807166775043,0.42657225988075753,0.4272632714914059,0.4566047883445677,0.4874623416259106,0.45993474081542385,0.4298569394467847,0.42369250542087317,0.45358161405016617,0.4852485384163894,0.4412787833148553,0.48101574002850883,0.6056693927869443,0.5685658282648294,0.5739559149991388,0.6397391420488008,1.0546482417856458,1.3532482983150558,1.4037951723908404,0.7518529348027729,1.0087189668102807,1.5845911415369143,1.0570887264672975,1.410433547339735,0.9537637788475968,0.9354184247578312,1.4845113634727325,0.9025615867182932,0.8372789160391145,0.9799186265450545,0.7833025493844172,1.3699417059278634,0.8096516364479923,0.6138894232246537,0.4978264741614135,0.6805399833636585,0.6780184746142207,0.5282464865799779,0.6763186582378231,0.5134217800047718,0.6522211082040097,0.6402459591588223,0.8109091586569113,1.0657628504827898,0.8057347565161564,0.8590880222139347,0.5755068965981638,0.9821856621034182,0.4811969615787994,0.453598776615989,0.4813892434608995,0.5430828235447247,0.47907874239314197,0.6503601064562873,1.054773720597052,0.5919762491138165,0.5602947853641692,0.5130473401262342,0.4750334867435808,0.5640591150539891,0.44418474464397195,0.49976644045185087,0.44963346835646867,0.6877906240516367,0.5255113254504972,0.4555314220574125,0.4581360681074373,0.5239925734686829,0.5468275055625381,0.4934242802344175,0.5168646800323744,0.7491061311868135,0.5814477723138416,0.7484364301704165,0.5819972168459461,0.7180472870401027,0.8090983929525599,0.816395883668049,1.0415675209996913,0.877813339776712,0.9052786274171993,0.9982742602682804,0.8287518087232871,0.6298359226791137,0.4983677337304242,0.4473473547503346,0.4181545645457173,0.41104978148436355,0.5215085336044228,0.4509149183939663,0.597805504168643,0.4632265472241059,0.4947583026566356,0.4614028223348216,0.4486402094036364,0.36377786592238365,0.38845044668730644,0.45303343415672376,0.7138994882513547,0.6189013185720748,0.7688337990465172,0.753394343249377,0.9111329513116182,1.0250321439683865,0.8603934962603381,0.788441402605903,0.7232958383418128,0.6328540303406707,0.7533521572678922,0.6232030500390473,0.45016478486315414,0.43806058980931817,0.5574907699726159,0.685068573843752,0.5015230463439562,0.4329825305734593,0.4247652726004086,0.42400435884408616,0.4270218008826299,0.4365189059710281,0.4819737353959512,0.5332133149772413,0.6660247892036788,0.6785586960469914,0.9275175542642184,1.4450655227989249,1.0254552143086015,0.7026777391350064,0.5789287526177654,0.6562663339053013,0.550241899815079,0.645495438525191,0.5401250132915647,0.46274943958916404,0.461611256486737,0.4891003610254019,0.5990200351032587,0.6575009687261312,0.7260333341472563,1.0329265677592663,1.0904179199042958,0.9071403430238059,0.7028294102815297,0.576332229413134,0.5824197980017156,0.5411278323429575,0.5236689515670342,0.6036610585353969,0.588228134098479,0.6835073226223208,0.5606542417942508,0.6406545768502585,0.6442805570042367,0.694254257592303,0.7881805976032197,0.8192911918443956,0.7069816581791833,0.6682889173770471,0.5983897020319117,0.752374266864511,1.4782670159126248,1.9351191687223288,2.0683424189514983,1.1876058602912547,1.0330063318349094,1.3100425103796611,1.0053484421582255,1.1681941804099323,1.1353004168045215,1.1573985313134703,1.1371761483456242,1.149886762657364,1.0963901946492387,1.0898340293431723,1.045964573638166,1.105775141562507,1.146883608180197,1.2125911580410556,1.106874990148289,1.2128485325467826,1.4263179040640286,1.4509889345666918,1.4509376297258236,1.6979223874338278,1.8878383760724449,1.7393004892468162,1.962555022761332,1.6613330142268643,1.671446814908553,1.3995006173269415,1.3209320215210565,1.4200176034715406,1.506358308239083,1.8055912959149036,1.5429565525329283,1.6377066322430485,1.3956544951980772,1.3105936133388545,1.2831743815707506,1.2957162342071877,1.4187475411294956,1.2610646639364245,1.3223443947034872,1.4659002513291262,1.5204740871439342,1.3594691794680986,1.456916144366514,1.7767647620334373,1.5939980759297572,1.5162685964754377,1.2812223370131277,1.185629745186348,1.137961119051814,1.1576238142925677,1.2252806152459512,1.3522022824516398,1.2864773280666422,1.2414633380089626,1.3258857866287832,1.3688060551218915,1.3148572040230815,1.324891993748448,1.5813310373195297,1.7177720450114553,1.6109027390844899,1.6626116052664457,1.9099248109940319,2.0444740984483376,1.8142053702977958,1.8055701755932942,1.5955371043630722,1.4582642437937416,1.3531014464023097,1.2823416841605897,1.375680270754595,1.2885470358271354,1.241388029697384,1.3153397934582531,1.3228008733515895,1.259619142470189,1.408875463675322,1.5332799189114683,1.4092986430499055,1.5684116309355303,1.7264399225154503,1.9370578181557105,1.8043663811758084,1.6734869146195985,2.037754990831233,1.9479147186555485,1.6932773739137088,1.390367140916519,1.249359483714293,1.3007669955778658,1.2448454718995352,1.489065202464714,1.8791761369118465,1.9229979605688428,1.415227479951888,1.0951880207021825,1.081728826349616,0.8690986006861998,1.1075851868735949,1.0050355455593554,1.1627032378955584,1.220765646444896,0.976143226636067,1.3032921310579537,1.3061060962944342,1.158288970484308,1.0481582933740536,1.69705561619681,1.2476172025879242,1.5192944711605292,2.5565661433910463,2.8810735128963936],[1.0164155876893144,0.7156137917159944,0.7746655232318098,0.5241987443342984,0.6580877630029255,0.6415662296699246,0.5226928097073353,0.5759330737409575,0.5454008705577027,0.4587625019874458,0.4723674671848317,0.5354516036745424,0.46863654128549526,0.43765952046851936,0.46957832919185205,0.44463331390405914,0.47211672681105027,0.4792666790945101,0.535878554251936,0.5255777065411258,0.5846437301050317,0.7087630737415666,0.8222373664874753,0.856165305609947,0.7635665749547148,0.6221146703235334,0.554729881360034,0.5107500159912428,0.49175290824699447,0.47717449198203443,0.4705249166568773,0.5029308511970814,0.5317376564819386,0.5062413111662383,0.495522039297147,0.4813029381252211,0.49823207510582007,0.5358677512462291,0.48858942014144524,0.5209524148173003,0.6417201046256048,0.5976547893150888,0.5922296329602237,0.6534979142135877,1.0580793049954746,1.3510425163989315,1.3924054404010162,0.753762549980302,1.010279985267822,1.5782963102222323,1.0501040664864822,1.3967384909593312,0.9567056970435391,0.9496914657681774,1.4816136067717167,0.9119827590963823,0.851288413898655,1.0028574674189437,0.8109461073785356,1.3851397198940776,0.8271855644850264,0.6979486024570026,0.5792742407983422,0.7112252875881035,0.7213287348517538,0.6115213642692768,0.7163149370421069,0.5476528754768777,0.6921769816572104,0.6640507900173899,0.8264990566175894,1.097311043063188,0.8061990456191088,0.8819699610446249,0.5857897737219453,0.9879507022565597,0.5235218678183976,0.49914413972622734,0.5340352206190342,0.5990659708719616,0.5139081094760495,0.67379384440417,1.0533547651871193,0.6186918381353381,0.5951729080676961,0.5483787165005959,0.5230390919242746,0.5963054171781674,0.49800076879234095,0.5765696996075026,0.49478902161082405,0.724771460882173,0.5503379726174762,0.47115439459717057,0.47531836702461544,0.5289939051866095,0.5561906454032135,0.518799472867237,0.5355871150384033,0.730368564415706,0.6031231030322941,0.7173788757155873,0.5976489857612894,0.6810037430192304,0.762274774421255,0.7653038334108337,0.9714253077288836,0.8115488358167675,0.8270847257467467,0.926641251249583,0.7783335065333974,0.6300484851379482,0.5109893441921423,0.49681681761244983,0.47401200893315343,0.48378399645848597,0.5751196733305216,0.5120001147653597,0.6077876978212874,0.5240230390017867,0.5616230016954106,0.5262934451849203,0.5455563259714042,0.44121378128059174,0.4483376884203189,0.49349600709485053,0.7357525708407039,0.607303160455003,0.7206808762491236,0.6963388605128441,0.8497788129614666,0.940780364153992,0.7850321421001528,0.7263985292964164,0.6887783486091983,0.6133067600990888,0.7247980223664662,0.6431102144117059,0.4936170883450798,0.48271453532961,0.5775598144816758,0.6796322819801832,0.5370463429410568,0.4901801798216316,0.4811803188335903,0.4816799620032686,0.4911525585885967,0.48978276644821844,0.5096986171493826,0.5420154270245594,0.6483202384260368,0.6559597113419958,0.8727667899593836,1.369679051991538,0.9896808402913368,0.6679151133964611,0.5822473867330389,0.6251749542468302,0.5743770880445895,0.6395750382410837,0.5628480117623185,0.504022756691039,0.5065573186187569,0.5335323580295126,0.6082073193814294,0.6570978572339078,0.7159743342365062,1.0026518007538228,1.0572759389328457,0.8916722350419923,0.6873051608319808,0.5872108853279152,0.5962981007457482,0.5668713517511543,0.5446701696560433,0.6122184782193255,0.6240264728579067,0.6976373200331706,0.5935262638035953,0.646004676287385,0.6487712759719113,0.6704618480806964,0.7495448442585374,0.7883167417533239,0.6977093432050973,0.6730690552724053,0.6171701010286388,0.750770268714492,1.4888655079109896,1.9548335267580195,2.123048528029938,1.161635919214943,1.0100735497994058,1.2911367029699223,0.9541906037242376,1.076762776032354,1.060302768522646,1.0908300215277618,1.0514204332291337,1.0865708546288988,0.9523478741348786,0.9149530039857657,0.9147580923469633,0.9486034385430118,0.9243536007934497,0.9904522233757952,0.9213150684845974,0.9658489051698633,1.115896618548651,1.201158978185014,1.1752667590404813,1.343813712065928,1.5564253835203947,1.5114561725163742,1.651466173436256,1.4186562661030329,1.32513462236676,1.1469990472382658,1.0485910484828471,1.0965086357623544,1.2452613889087414,1.5627417260448506,1.329288239832134,1.4622462831921024,1.2041974895159957,1.107206557080271,1.076492899981046,1.1133098649455164,1.2504702349834085,1.0905565152099077,1.1844985056192132,1.3507354847807997,1.413666871089137,1.2471421805067913,1.3526255592139231,1.660861961680397,1.4876798899524881,1.443877790254654,1.1717899931390994,1.0898037861073837,1.0156000997088044,0.9700968553031802,1.0352120582576416,1.0944574121179516,1.0647696441980397,1.0158233378086012,1.050812508575031,1.0902638968775265,1.0681719406553696,1.045143069581014,1.2462757879045554,1.4082027056217241,1.2908287399584701,1.2849902635872172,1.5056149858808459,1.6740658870161425,1.4097154480039498,1.3736661487565012,1.2210757433490789,1.1043776591102297,1.0433085763817613,0.9972581553192998,1.0655840540104364,0.9954368340044806,1.000767862228313,1.0897947468593405,1.0922916999535675,1.0741331806584695,1.2440084047045052,1.41310170578429,1.2691473779557927,1.4317814061492582,1.573008237051889,1.7525383947569062,1.6646454066325407,1.5572160608660577,1.9136998558102585,1.8153277129180225,1.4980165600045816,1.2033506040237962,1.036063034777957,1.1293593301992904,1.0517233075759531,1.368266228619269,1.833705597809867,1.9345916874910054,1.354489564457947,1.013341111075972,1.0119517628691954,0.8025696534193093,0.9727780217836178,0.8734853606158475,0.9600703594468455,1.0751848182204387,0.8665626349455918,1.1020750040706893,1.0615392903053438,0.9967678637391822,0.8908816400434852,1.4824118834334419,1.0389833486439841,1.3340681001024042,2.274914432245083,2.4796389619301484],[1.0698706838257777,0.6883812746520278,0.7479877218671855,0.42897733511348185,0.5700982602938884,0.5979543349745614,0.43997438634492314,0.4891045001665339,0.4761350933006669,0.3598990549061675,0.3846263040112972,0.46417520230334847,0.3694405163169661,0.3395803630097204,0.38729713919269937,0.36193850772069713,0.3948055443831372,0.3863654023747596,0.5098667959239986,0.462070432442605,0.5366796345442384,0.6543081000842957,0.8156323537099515,0.8412833458637952,0.7353629818998757,0.5858260225568164,0.5026511562754494,0.42108995899114654,0.3987645954102403,0.3730432110118224,0.41671132028783375,0.37731886514112606,0.41414845406322126,0.41434308267915465,0.3762589736377194,0.40135963640024286,0.38289246480756334,0.41674530019547085,0.4067650701122084,0.46040877540762076,0.5911019541935025,0.5475047765177881,0.5590086905767458,0.6461696272259136,1.0679819771773094,1.3597537467237573,1.4366813340381965,0.7675632757766667,0.9842863091120314,1.5495529261401968,1.0488494250845235,1.3681746439502278,0.9796985324084654,0.9189517417691059,1.4172907309531808,0.9255205424950826,0.8281750468807973,1.0210733191725365,0.7936125085443084,1.4390478333800083,0.8205979533549038,0.6301859820259137,0.5047609280376733,0.7006803338849339,0.6780065272025045,0.5281960793612858,0.6824989156491624,0.5075411578991978,0.6700390664379541,0.6515556762879418,0.8194992200459077,1.0994491155496293,0.7870978438261357,0.8719874627916105,0.550658710573716,0.9722296200347892,0.46428059919270265,0.43333276500272916,0.43736023775716165,0.5394419380154233,0.43779806810734534,0.6009564329533426,0.9799489964259759,0.501393696674558,0.5276471695343686,0.43477862475392526,0.4071868954608063,0.5444912181092448,0.4088717214216654,0.45633807793514486,0.4424552780066969,0.6977815944720871,0.5354379295613554,0.41844834070474035,0.4179354556683155,0.4996273204540818,0.5396549923831581,0.43404511500028425,0.44668477552691555,0.6216911446106996,0.4771913308460025,0.6131289430699892,0.4829138498086441,0.5646950221287257,0.6722726385269954,0.6710281057721238,0.8800906600184489,0.7571885290466535,0.761874082006644,0.8334308704711202,0.6861784791546802,0.5287489913316177,0.41357708024562934,0.3960868159043462,0.37393385380206007,0.38848950535444193,0.45868061618939915,0.44397674894593364,0.6049276461953931,0.4446619116385972,0.5013344702199621,0.44525831990941694,0.4554468838672606,0.3338635912993851,0.35072879405449964,0.3992826551801792,0.6622972939189842,0.5351775628254223,0.6381341369549023,0.6148488571789875,0.8198600177159903,0.8884517329734501,0.7326701238641167,0.6542902867099614,0.6241731285188662,0.5511945331650099,0.6365679382371243,0.5958651132276823,0.3946593703938069,0.3936603389199267,0.5029235797151392,0.6622484041787668,0.4473000701648037,0.38696062500254597,0.38081993687217813,0.36358089712210157,0.36263937339528945,0.38538261138340024,0.400568555794299,0.44440530870035383,0.5699044373801201,0.5733559917539885,0.8210323955798372,1.3632632577075932,0.9836593346696263,0.5767646949968108,0.47797584498059215,0.5150187617252926,0.4596373490017578,0.534490962795982,0.48343016096360825,0.38536938589735437,0.4040356154543271,0.44977539968661534,0.5645202336438899,0.6053277783987383,0.6971219085365763,1.0359453989157141,1.0526743292095693,0.8607551103053135,0.6376521511296741,0.5233379884880172,0.5242345219679145,0.4686927367834962,0.4433295480595665,0.5147054209446573,0.5052990283126132,0.6019805441180531,0.4825913812702136,0.5422640112688071,0.5342561947379734,0.5755197978394333,0.6923311301949265,0.7467981936936893,0.6552451439582085,0.6392588107209417,0.5662919991466624,0.779272690308395,1.3779740187261331,2.024730817749989,2.1174906215750284,1.2794490104312677,1.0474083513420591,1.3514718063499898,0.9605083953984941,1.0734586346055424,1.1092626842115252,1.1386794073401314,1.0640554063094487,1.0704591342346033,0.926786993362426,0.8603830139381345,0.8606685579396528,0.8988447660765568,0.8772455775467194,0.945244157174113,0.8697395982876732,0.9253891232705937,1.0770436684645333,1.1869332686183203,1.1874872247966048,1.3501579091441553,1.5437824608095099,1.5350362167033065,1.7075196065149352,1.4919629154667817,1.3413163017015544,1.124625953462043,1.0271799893904514,1.0886783668427271,1.2740058475494218,1.5308860481606765,1.331821756841464,1.4028224169264039,1.1567399093934012,1.075370137846664,1.0432612156553907,1.1154566577125404,1.247318270015815,1.079415465605908,1.1868310103562605,1.398507777401826,1.434328816974361,1.270820037837082,1.4005302729781686,1.7128585772086444,1.51296725927443,1.5077956746842929,1.1751815355093422,1.1124976492116294,1.020153409694767,0.9359909176943231,0.975356670152043,0.9988922919249953,0.9850890098113135,0.9375269493939059,0.9753661477544902,1.0018517936217355,0.9753164805447522,0.9686666990456129,1.1689305389828326,1.3367671446414215,1.2333104177969187,1.230565987617759,1.4517795888625868,1.6365491998868777,1.3837490680911464,1.3451223068255493,1.1966164136755466,1.0566668662005827,0.981024533661285,0.9564275838390566,1.0306824463636444,0.9590584534837236,0.9649665888852271,1.0608181195052313,1.0620107126446354,1.0395724548596172,1.2304627227998572,1.396975952631767,1.2310961687556434,1.4208612019308757,1.592941664884413,1.734664529574949,1.6318783318920025,1.4683125881825687,1.860791510342039,1.6613166087022673,1.39054652161471,1.111503755165566,0.9917695824826118,1.1784290465457465,1.0703080406677228,1.1802999691397393,1.6132431781957748,1.7998210429397625,1.3225152740674002,0.9559213196467339,0.9844469171836595,0.7343719710624451,0.9345129453342914,0.8064948544721467,0.8912222574731218,0.9985911053312329,0.804818501777633,1.0628786042545098,0.9859227288665252,0.9484422873197864,0.8558949225854596,1.43861690790996,0.9910840172931389,1.290972528686693,2.151188122002071,2.34278722736739],[1.111211788823562,0.6625190111159387,0.8282067994963137,0.3778562839277675,0.551179977511961,0.6160801838764567,0.45756800785567064,0.498739927337917,0.49301730642090796,0.3642193946319014,0.3870436094247913,0.45178832339121344,0.37956538081401425,0.3430024099928098,0.40353898486116074,0.37835103813371973,0.3985249013688117,0.3891069278143384,0.48637687548125097,0.45704474208358914,0.551821744456268,0.6589022980713438,0.8236533345003106,0.8616390238026451,0.7326831936303129,0.5814905729144773,0.4836559954574575,0.42706578887647206,0.4060229492103786,0.3711025485891505,0.41031589746290803,0.36875363667604655,0.4015176948279184,0.40448127872942813,0.3784859773289072,0.41075512630180966,0.38446962049416533,0.4102854109500036,0.4025961388137332,0.46916560276567665,0.5860511964404493,0.5315485134718105,0.5668354794156324,0.668805875644408,1.0982346420230327,1.3852935310618593,1.481106790769461,0.7881602718929034,0.9712445769150472,1.5492661256308133,1.0721525967147165,1.4056915313985894,0.9884734338284409,0.9567801813508972,1.4295053086942575,0.9504634037057476,0.8457052738122068,1.054406999095578,0.8181456683802347,1.4354807810533445,0.8542783684964388,0.662360041492489,0.5263191698468542,0.7044730484248783,0.7156930748738136,0.5351416267363733,0.6845433480972739,0.4830864911441522,0.6537928966155379,0.6072296756444608,0.7919741440059972,1.1087585998579752,0.7352412628947935,0.8333185408822891,0.5517247223441616,0.9379755140421352,0.46843145016215676,0.4354127482902015,0.45805200880466074,0.5862676332630359,0.4345674239297061,0.6353314282725814,0.9569607730629659,0.5427504196613,0.5293223494328407,0.4311501935795137,0.4131278883889026,0.5311431828771337,0.4332587232295008,0.47878976095304815,0.434884987855043,0.6842309346174756,0.5237790220781917,0.4097071932711421,0.40879978235263653,0.48160855060300667,0.5618270341475154,0.4228280940648713,0.43540026059638026,0.5709166977460877,0.46666860620520395,0.5934516772146642,0.4934864134433869,0.5322151254953911,0.6422347606435975,0.6268494110532112,0.8103811664942723,0.7183168703150059,0.7123816395732596,0.7907817424193017,0.6423246635884174,0.5077901292615473,0.41789053409500726,0.39806860228868385,0.36948459606787465,0.39006704086763394,0.46268898114084467,0.43733845004465854,0.5635218877297102,0.4216491337613328,0.4711604386295331,0.4397809108784106,0.45651839038417985,0.32521936024536013,0.3451241603849221,0.3903421139212465,0.6681904778412305,0.5343317406735384,0.6136044408518706,0.5876259021994547,0.8067684577925233,0.8615227538539141,0.7238128438180614,0.6291600484550326,0.6085334397772145,0.5427664479168699,0.606645073835491,0.5825210806006508,0.3891711888905208,0.3888473470006883,0.47931024427431784,0.6666415122871795,0.44557591280791603,0.3878972876494593,0.3795770859998454,0.358623590899314,0.36358628471576687,0.3840126245371354,0.40525223421453455,0.446801839229331,0.568006449454663,0.5506958311891909,0.7711275494744475,1.3019459106118823,0.9358116153158899,0.5425107240054544,0.474695428656538,0.49273634745373857,0.4607179860822221,0.5284145569737385,0.4889660352817495,0.4017511770129377,0.411426959727715,0.45940871588292337,0.5642639534762701,0.6028046491266943,0.6891310056034347,1.0330310370496154,1.048680302348959,0.8349624731306732,0.6235778722036256,0.5219302303649811,0.5248104108776788,0.47337404486558843,0.4497664825738949,0.5091729386483542,0.5202742469674156,0.5831682520765081,0.4873363283884211,0.5467562899789973,0.5475176737803169,0.5615993169481849,0.6734584722266096,0.7477585464829394,0.6530178583772868,0.6520734113429628,0.5711716960925517,0.7973390892196743,1.3598662452453874,1.9993829436511226,2.0666001996349728,1.3310322593894224,1.0763230317771795,1.3923593090026318,0.986875285934257,1.0963162838943294,1.1490902341262543,1.1650107682914488,1.0529944691307271,1.0568962310120473,0.8760306433010145,0.7770128738159855,0.7860805180114911,0.7987764078847726,0.7444396785297416,0.8167022858894692,0.7612503658485664,0.7806441730114142,0.8997725798916114,1.0725982277014237,1.0807878741907635,1.1953599984916397,1.3861646135611903,1.4511586859253338,1.6274398237931287,1.4612126085531354,1.1978780719830056,0.9522006412511597,0.8633468044861551,0.9101056771416731,1.1616489374504477,1.4732276020599633,1.2512774158394475,1.2590917319213921,1.0288057724143884,0.9636728532572847,0.9618059667016676,1.0659591182332588,1.148243519351827,1.0010397674852876,1.1473877023022538,1.3918694183101246,1.3970797695371795,1.2498251605506163,1.4193058693175158,1.6979289678044345,1.4900285393725374,1.5337258982196047,1.149125956053914,1.1255442466911119,1.0113784379584687,0.8655439372017516,0.9193792044946393,0.8684491750191186,0.8930876515619297,0.8504038305917319,0.8163797158049954,0.8225333004460873,0.8244838769741832,0.7938019262252605,0.9572542556995155,1.1323597716747906,1.0521360805128988,1.0153654762789914,1.2154747676602877,1.4294273361992478,1.182988603888618,1.1201258767249969,0.9836502831245387,0.8397034736077033,0.7999072407973309,0.7994595014994346,0.837897516930394,0.7846732255235209,0.8382662600521946,0.9118501414988585,0.9001871468661595,0.9159593606891293,1.1338059524168334,1.2744852359907963,1.0931201398905595,1.3346083628717098,1.491986850077509,1.5899823364621248,1.4839324896463602,1.2797282598260846,1.7139948476868412,1.4420238331138415,1.1521862807290264,0.9877033583196895,0.8683187186645709,1.1945491860437434,1.2018475078993323,0.9476024657471037,1.3327447913173336,1.6317784998973042,1.246374692995478,0.873808015390725,0.9543873498081068,0.6871416298480784,0.8826337525576627,0.731234075515719,0.7739046768742713,0.8894130283644418,0.7321582971785296,0.9757528489638994,0.8604959961671089,0.8791273768007641,0.8060691737073999,1.399461920898757,0.8855177175963802,1.2964229397649936,1.9679827324433152,2.166397584450358],[1.100432205942456,0.7312004814229488,0.8312862762395555,0.5512517877579949,0.5990236474742797,0.6491143666519175,0.5391476014456918,0.5565050441527416,0.5544095909649354,0.4504457452768667,0.44708886982026624,0.5371259909114812,0.4711844445324373,0.424481616288725,0.47837954983357484,0.4636070894402703,0.49388776381328064,0.4781009112529805,0.5550924577421197,0.5429478517521793,0.6026453263088549,0.7093993986353601,0.8550664074203075,0.8659967122754763,0.7646295160083726,0.629899156077866,0.5859953430311832,0.49523336747063734,0.4818182765491294,0.47082622914318306,0.5123617046671061,0.46345739140075587,0.4986965586255539,0.5067207444641981,0.4788043358319976,0.4934612826124502,0.4754551663580203,0.48897279761711987,0.5006382640153526,0.5458555390643854,0.6748074561959898,0.6319100490477197,0.6486363505793827,0.7231032411938992,1.1203281473526883,1.387505537574144,1.48312208306625,0.8512009720490211,1.029856318294078,1.562348395211115,1.0821608046705715,1.344882334779266,1.0543318653767146,0.9640984148513914,1.4429647438085338,1.0058971560021321,0.8746941310274898,1.126723973520321,0.8749030112996216,1.5037722153283493,0.8831810535191335,0.6988274525126722,0.592681633749934,0.7822785733231271,0.7628546182934456,0.6158464348225055,0.7619789449571548,0.575305290149846,0.716663246797541,0.6943243423605588,0.831531460697118,1.130156631469331,0.8020805302112645,0.9088060578738371,0.6177862538359075,0.9910793711130632,0.5593575892221047,0.5286436760612317,0.5222185548913177,0.6211165597180869,0.5182302203926754,0.6889518597512331,0.9261016634171676,0.5644614493183978,0.6068539151893646,0.507585625441427,0.5003921762134472,0.6246780241064454,0.5094066540042782,0.5554542274825667,0.5348376022440484,0.7716858120054431,0.6222945052244289,0.5119948991711664,0.508592331386075,0.5792347858106353,0.6304271289954062,0.5178022078644217,0.5145791000047912,0.6273042421299172,0.5337955058005206,0.663817717637775,0.5467990594040408,0.5908151124341086,0.6491186888559349,0.6474129303239797,0.8069000340645642,0.7246037750201164,0.7153668953604251,0.8064069971753117,0.652281597705441,0.5443890484637058,0.4924542229248133,0.46817002141994934,0.46883243941256675,0.4826891332946704,0.5055448354071207,0.5103646264495978,0.6377312507468941,0.5078522173718291,0.557059068187478,0.5048518391153662,0.5258792824850642,0.4322497012794193,0.4486866779884137,0.4768701220007942,0.6752044269173312,0.5620873312362514,0.6345258110706031,0.6323156895939698,0.7987469597967367,0.8256798303875797,0.7115405112968235,0.6461292259224856,0.6426923712873507,0.6233785910607901,0.6899613882878353,0.643515328706892,0.4791380310687534,0.48393437836119274,0.5618758843703568,0.7180119890754123,0.5194893863383747,0.4691789602214676,0.46661031467997816,0.4623084319542747,0.4665686203016934,0.482159609385419,0.4724841646006031,0.5143247063790939,0.6193828904577094,0.6309419935281073,0.8433335762504305,1.3949094865010014,1.0465849216837502,0.6185623404842613,0.5380693447688882,0.5526698154547999,0.506698742866194,0.5628834207689606,0.549388320335575,0.4761998669604796,0.5001348815911417,0.5437742426861271,0.6204937418494684,0.6501493165522323,0.744932764290581,1.0894391885214327,1.0656583967940623,0.893303629628264,0.668419058163876,0.5713695659336808,0.5634175397765203,0.5367935385804187,0.5149024049604068,0.5494379769106728,0.5700966137654103,0.6281316898803323,0.5580286212614527,0.5914183952777412,0.5590032708168837,0.5899078919283641,0.6943635295405121,0.7713669488909537,0.6792730926063762,0.6834780249681726,0.6202484410450896,0.866081847476817,1.3486827625835862,2.1769975181672603,2.265719135704114,1.3716120363579736,1.1705946098014428,1.442916375111793,0.9876801530089448,1.0639534316606707,1.0953984513093284,1.1323270729894515,1.022287669472907,1.0543086565078559,0.851608916889768,0.7795534666249501,0.8001995374900583,0.775826428421946,0.7377485655133462,0.8493172434505877,0.7613639921478388,0.7726319699432961,0.9195491567187634,1.0921916069557291,1.0729102170675997,1.1833431315250782,1.3903618891403713,1.4332744691484545,1.5753049356786741,1.4201335413978668,1.17190485952551,0.927455058161162,0.8227691125279071,0.8674153454250862,1.0433615916566374,1.4111861173679487,1.1769538376717568,1.251766516885537,0.9763295986077315,0.91430359507395,0.9295499745820892,1.0062475692657211,1.0842155685170367,0.950694024957679,1.068040435941584,1.2870108634517836,1.3038230326171132,1.1585310119541143,1.373349481901699,1.575096002617299,1.4017558503068184,1.5014929729571747,1.0900444026098515,1.08753506342636,0.9511986675859814,0.828214158647053,0.8863888727762818,0.8632166272796455,0.9522327121617321,0.8708316947137305,0.8232576340506805,0.8926669363162356,0.8924500352501346,0.8427861845255733,1.0272830042050605,1.211575041660447,1.106784844732505,1.0609292483677877,1.2701311821454488,1.4803642839271025,1.1930797750319835,1.1276801954798092,0.9799439388284558,0.8314753672267622,0.8030116286623394,0.762908233190142,0.8095691077430198,0.7740853937249718,0.7918723796671463,0.8500486722471083,0.8469491963054306,0.8639570907896973,1.0359121589937372,1.1870535052927895,1.0307543310933993,1.2493972667063493,1.3868179486290984,1.505097407727098,1.3958928550372238,1.220682248036787,1.6399006363237827,1.4160985317961294,1.1211493224407933,0.973496016230618,0.8721148928571003,1.1703753977040332,1.1479111621307712,0.9366775280356424,1.2897673416127824,1.6422021987444697,1.2314593067771082,0.864388503369128,0.9344703181530026,0.7233310004664237,0.932680099118591,0.7665441290589466,0.825059362315665,1.0543979503910879,0.8152415637533748,1.0482679719314922,0.9217885350060421,1.0019744607964656,0.933790530579672,1.372387075880936,1.0054612203326947,1.4637712168465544,1.8765067486640963,2.1649215651408835],[1.0842150008610074,0.6736948059488248,0.8727672024769703,0.3815737503182144,0.46653054493815127,0.5970372355336241,0.45217099944793615,0.47198327178397126,0.4957845370560418,0.377285111884389,0.3898186669830323,0.4605703425520692,0.39707372360633697,0.3531750762316589,0.4183492815567149,0.39371921719718794,0.4216740928259896,0.4263026320919021,0.5319906188362468,0.5098993486704922,0.6160804930139112,0.7210179602511378,0.9058576064316247,0.914459262065027,0.7951447175343942,0.6313153221387366,0.5575790505844305,0.43882662788743754,0.40605016042261716,0.36625439134482646,0.4335960014690996,0.3644172513042432,0.40610783249775273,0.42484770976820424,0.3868448996611944,0.43054948910085505,0.3759469502482591,0.4263711014025829,0.4272302599244286,0.5095699578060041,0.6399155698981686,0.6132039307668185,0.6510577166188136,0.7260581592288082,1.158312310313462,1.4259298870915464,1.5971424027392822,0.8865890879977879,1.0206600629557483,1.614007151161444,1.1563898871395133,1.3954317640863676,1.1036416259220114,0.9509965271557128,1.3886778637098856,1.0342742448606024,0.8630922920414756,1.1236791865753784,0.8611791982317626,1.5272775452094838,0.9039061009359944,0.7185492137058168,0.5856339859510931,0.8052765090346166,0.8053264626930519,0.6017925408144141,0.7597782558039713,0.5411834753691745,0.6911934087088375,0.6729636955807605,0.8155975588793788,1.1662165469352097,0.7791614646263368,0.8907179252452565,0.5941676587609495,0.9574769835156139,0.5362550339786583,0.4912209587325141,0.48692391565924115,0.6104197587471758,0.45403248737233953,0.6622591954544047,0.8698292113820848,0.5431021378426658,0.5349856465862389,0.40521873446299006,0.4282222838737878,0.5397710599094728,0.45834798507150754,0.48244958276845623,0.4846270014037375,0.7221574161156775,0.5749455266728719,0.4399866367611835,0.4312288386442468,0.5302489071884854,0.5972784838964905,0.4382365794912708,0.4235875726919681,0.5357248233988608,0.4270695453747907,0.5443459623562269,0.4432771737195443,0.4205320505518466,0.5217035483622806,0.48967869787207774,0.6324187939660186,0.5866785853777506,0.5653618059975809,0.6837752512297587,0.5098005677368708,0.4119006995922917,0.3659675262611154,0.33771783356585094,0.3853551782054493,0.4072489403494319,0.4626898684536274,0.46449844693191233,0.6114768168116537,0.467351390230038,0.5353745420025151,0.4752984743017901,0.4888221764145544,0.3434943582326591,0.3508358232353319,0.33622556916898283,0.5753542190000831,0.4468204743875862,0.47447577112002143,0.46704987627929273,0.68950215151805,0.7168230679122409,0.6294263019665957,0.5184868502326314,0.5186867159173627,0.478489606171286,0.5447866973269139,0.5085427295519026,0.3631057366969836,0.38199379125943855,0.5181119471442267,0.7203103918234807,0.476004995179967,0.39970918332196076,0.3971308889737632,0.3763028162164115,0.3702364973862692,0.3604101849129152,0.33548986702840733,0.4049061245255552,0.5026064938519776,0.5310359068813355,0.7363434113883502,1.305330784082075,0.9799503459972391,0.5165066627885945,0.4385999491595925,0.4130823943515042,0.4011395105834595,0.4357241946552527,0.42987881657869226,0.37192195456584104,0.39316737639066973,0.4433944058647122,0.5263442037629406,0.5928728891642977,0.730797302271586,1.0948056893813851,1.0284427141838226,0.8043928852541503,0.5829037106529449,0.4601500091907872,0.45433774935098115,0.4116560918608616,0.39785249456709926,0.4254992045078155,0.4648000209538542,0.4832729472836642,0.4473355289304892,0.4763582508502102,0.5024218483993993,0.4640222933869334,0.5934339111210865,0.7234610486322424,0.6254088043708308,0.6381677804845778,0.573549021522889,0.853903218062769,1.320606351561171,2.2169426312799954,2.219332061536913,1.582730929637553,1.2766390275578046,1.5145421311431415,1.0076934224683105,1.0717908953184239,1.1418347386239902,1.1253862433423165,0.9745428994293935,0.9711117836970916,0.7774149308547559,0.6375327747002693,0.64680469162327,0.6449695500951845,0.5999253874324522,0.6855001952549422,0.6362760963422425,0.6561490134750162,0.7688758861836363,0.9904923328808857,1.0081602767904772,1.1032973051953625,1.2942904426810158,1.3894513767757275,1.5774426441976748,1.444079708857832,1.143168041822294,0.8882407486820653,0.754648506824232,0.8054295228098219,1.086577425511176,1.482719349673464,1.2028320957511476,1.2055736481096875,0.9789408899413125,0.892793321761577,0.8670065423312027,1.0268281961363097,1.1113173541756387,0.9262485387776139,1.0739854877323023,1.401062018536731,1.3521542046305366,1.1899395748788129,1.4362497447209288,1.6974811939693308,1.4512825648895054,1.5439854134605049,1.0723626482916082,1.0883400787752089,0.9620402842039393,0.7642646214322774,0.811299371927244,0.7683143459545909,0.7969437079528019,0.7198160575429063,0.6836910283246364,0.6755652136601795,0.6967863722122983,0.6515421879020716,0.8158472766257883,1.0071477610604112,0.9338148391414113,0.8841854145830381,1.0964273038285801,1.3437688965548358,1.0774469380628007,1.003871718777971,0.8572461520218293,0.7013659151819644,0.6652601607821919,0.6983501872243293,0.7221402026563634,0.6548528524305813,0.7361477284586426,0.8294695842115555,0.7996643359100173,0.8113706124924865,1.0953107776043243,1.2238200132440467,0.9994869038351452,1.2718895880445618,1.4609270761633197,1.515936237128882,1.368040039015368,1.0952077376962088,1.6250722226687477,1.2657977447712152,1.0511788950871503,0.9705953928878831,0.795399094846501,1.1765065876518348,1.3079984542812422,0.7711333284001335,0.9527023518292566,1.3060085964561041,1.1039012440877418,0.6892086328043512,0.8214316767190346,0.5536415174818327,0.7994525912693617,0.6029919018435492,0.6431851526445789,0.8445609161737092,0.6519761939359887,0.9224307903922513,0.7756794624940611,0.8588715009266441,0.8128136552031614,1.3433686342287168,0.8689480716387148,1.4321482268342476,1.8533588689147507,2.167393392230132],[1.0249463477131904,0.6598388958508955,0.8343615051328263,0.44434821931914864,0.4502308878368649,0.5752315312977855,0.4456851253700869,0.45203153418453085,0.5015875581554264,0.4016952814197218,0.4075241379375907,0.4841960627233453,0.4228762197937645,0.3904421506727868,0.45687578042478905,0.42307408927531637,0.45310254254585103,0.47504033683934976,0.5866948736494082,0.566850424220185,0.6669076994945695,0.7798873832699486,0.9465062793105967,0.9341462369765275,0.8394436548444696,0.6825054866784565,0.6284658039490428,0.4841821601564385,0.44547654720600827,0.41141206983106604,0.4740517846960665,0.3982926933284556,0.44114170401906017,0.4617669013961288,0.42953850434910684,0.4753590156000631,0.41346129544765947,0.5006149073560098,0.5172288746468753,0.6099484521913004,0.7413461714143627,0.7054280903486863,0.7462292377299442,0.7924841546838807,1.1992152269018495,1.452055425915833,1.6278502501100751,0.9511715355267639,1.0896102953644429,1.645234324803784,1.1828208979677155,1.3609160419775765,1.1831927326316665,0.9473314043502359,1.3780545963837079,1.0918478301293209,0.9062757211559636,1.173812774176675,0.9191805843789469,1.594983097724155,0.9598716818548002,0.7602166806889292,0.6421506410686535,0.8717380989844039,0.8618413800773004,0.6625202298642381,0.8012260154820943,0.591517392387088,0.7216014884905781,0.696318405929461,0.8201940499908144,1.1731051831850405,0.7948336410278116,0.9260612141976663,0.6279696325510437,0.9964097846909966,0.5944909547805747,0.5464690615258609,0.5328537911805014,0.654938312127487,0.5145431455655074,0.7270549380132049,0.891649847848814,0.603010027515902,0.6292250305673132,0.47245380092347317,0.5013007534492223,0.6001229585630057,0.5148447690925593,0.5131324968820986,0.5385964187812382,0.7594019924000971,0.6180456482206699,0.4881964577251066,0.4682065891826245,0.5677080001417506,0.6212322683418976,0.4693140131029858,0.4499560494999244,0.5535951594745446,0.4332668348661899,0.48981294610956727,0.46347108473960064,0.4045348103168678,0.485694167427322,0.43792625048679856,0.5687789172457689,0.5456507587152084,0.4921391393033907,0.6524491396341753,0.4497789314889914,0.3816845157930225,0.3486369743924861,0.3568994649768858,0.4136779803534681,0.43873488406555466,0.49441529207058066,0.5066078340293715,0.661996317482184,0.5193893393429009,0.5873197247483745,0.5136457359079445,0.5189212028908757,0.38426190074226363,0.3828250181893658,0.3445428654306912,0.5248292059536197,0.41935828635569233,0.4250309995390701,0.43523106160172426,0.6231060810216187,0.635484392576544,0.5937452478191304,0.4889684315866857,0.5152561976140851,0.4972341643335705,0.5807763199070938,0.518264176647471,0.4208175360345663,0.4460975791889937,0.5997701795106848,0.7571027337140472,0.5475361062366897,0.4634351398038942,0.47790584123467117,0.44540461249411617,0.42649993494403643,0.40100016497589713,0.3480834240711399,0.40458118310161145,0.4843873981973377,0.5360887504841909,0.7177561641534052,1.341995160208187,1.047470291993067,0.5272062616915847,0.44379747177293283,0.39053510798428126,0.40237794093316914,0.4254753225890017,0.44707156611049287,0.4191107425726333,0.44910828647076256,0.5126434402998606,0.5685472239614855,0.6418865534941157,0.786613555162011,1.1433731832902845,1.043561854464566,0.8483665249822858,0.622157692135109,0.492168482383175,0.4813311628934897,0.44439776113782964,0.4315869741888348,0.4260283716948562,0.4830359991668072,0.486746259014486,0.49940432226297093,0.47120409263577834,0.5286673328591861,0.44951545202087606,0.5742977747133802,0.7082901329423781,0.6309780090221548,0.6630906449808028,0.6404585860628197,0.9245360596562306,1.3259489776739608,2.360447422155925,2.3897855977253912,1.6010946687508105,1.3359615503044946,1.5625347132412257,1.0044092328549596,1.0070053265696224,1.0612790306876894,1.0544094763049539,0.894627818301569,0.9179266419746054,0.7023875686958703,0.5697422679137865,0.5814446404588645,0.5599472612921413,0.5100738984136303,0.6280970484962695,0.571888014476415,0.5835381183538505,0.7118158760258012,0.9474555557530959,0.9504328286481661,1.0366549936664942,1.245926736836394,1.3364532914307383,1.489562734770489,1.3720859969538786,1.0730198005926426,0.8277166232464807,0.6827240421195959,0.7303580783144165,0.9604624888392355,1.4113296597570688,1.1353187238987377,1.145851089097255,0.8779795913710129,0.7837272000556211,0.7741260781640383,0.9240134131972638,0.993333970082258,0.8320975907520824,0.9602385931932699,1.2830145577113385,1.2429364780243026,1.0745476870658857,1.3676559310388896,1.5675600285302305,1.3493262598570002,1.4863136952067746,0.9778041912610734,1.009014447475294,0.8703531946550574,0.6872971313185653,0.7445535281049426,0.6848000331984968,0.7920728873911053,0.6676296013543821,0.6130829835276944,0.6575649266546867,0.6786725030891845,0.6042472578784024,0.7945007166985888,1.0075373197451538,0.9065252560481329,0.8379017963299512,1.0702374583938172,1.3221214755501929,1.0223345849233891,0.9428647029390034,0.7854531304781054,0.6165995657310019,0.5812721659734928,0.5923412295487721,0.6317481955876727,0.5674476528030841,0.6322590780626918,0.7258962606019884,0.7113248189470336,0.7157985882937872,0.9720331352296604,1.123565113598028,0.9190680872182582,1.1627880923048226,1.3422977997679761,1.4219375839556074,1.2806211990896759,1.0388413656200859,1.574613950242762,1.29017049631968,1.0093916388212063,0.9226388283860929,0.7453629849528003,1.1037962067972218,1.2316703038569803,0.7042103267078427,0.9127937456312836,1.2929940325408227,1.0614014563432264,0.6150492117587554,0.736806859267777,0.494631828516019,0.7774481042469004,0.5485848735990877,0.5947233052279003,0.8860919456197894,0.6236274222482997,0.9007170039471457,0.7369372086174384,0.8841524848447632,0.8434714394581679,1.2426130779051154,0.9371923762951875,1.5901630605944237,1.8392814152413488,2.3118525912061823],[0.9987077440135447,0.6251004933795704,0.8432478324060989,0.4305804126831042,0.4405564213043157,0.5764539519353277,0.4322952693772652,0.43917252338148466,0.4856510832929893,0.3627473804081524,0.36914645591910433,0.4499593433495101,0.37656628020409516,0.33906616454380667,0.40778532848921545,0.37435390030271576,0.4028039659995984,0.40659878644765995,0.5028980357337096,0.48810819217846196,0.5763788164735287,0.6886490157901966,0.8567559066400656,0.8596770354311913,0.7519489168402032,0.5988513702704519,0.547370641588173,0.4177456642978336,0.38166000540160777,0.3533634156954111,0.4165380127939694,0.3532892422380573,0.39349539985820803,0.41315481651863734,0.37395816576664953,0.4155611793810011,0.3647227704556701,0.41700275665611486,0.4351179357919106,0.5143124827737097,0.6668375634645113,0.6041187292998134,0.6382486398138311,0.7138300391096063,1.1377457383965761,1.405842562449224,1.5215275465823326,0.8488005163847946,1.02638533665927,1.5780162826255248,1.0826626153999792,1.3203424110632507,1.0797026129038143,0.8963274067371345,1.363852912769233,1.016336563096336,0.8677767420998153,1.0986083522576278,0.8568308428736683,1.5409872213322156,0.8875648340696396,0.6809540230633572,0.551505279171734,0.7557821949656367,0.7450215462327909,0.5737695591706251,0.7209049730233674,0.5115732712468622,0.6679145923042917,0.6344264284943326,0.7951976793548601,1.1455900236533219,0.7471758492604491,0.863221864118233,0.567852895592744,0.9454523637840392,0.5054839379931343,0.47099670277203304,0.46432460697171213,0.5887292673547943,0.44987345782466504,0.6588835214743854,0.8810826829122206,0.5194425579890871,0.5638257089223763,0.41106862697442137,0.41473132760901055,0.5450586376377575,0.4463376352585068,0.4744084081877869,0.46993409587724305,0.6999584238585896,0.5551080654110427,0.42716735879473117,0.41607717373023473,0.5144840167069257,0.5853290593282402,0.42981600066356485,0.4147461010041579,0.5207985218195484,0.4074230400622309,0.4932993593982388,0.43635737196390617,0.40457044148201626,0.4743707654146806,0.44847342686297464,0.5898692593949301,0.5451004876281698,0.49649739741725546,0.6545260781363423,0.4542977291562921,0.3738585653033735,0.32939531578232306,0.32176682399049295,0.36423021514326687,0.3875712305210531,0.43678384138397913,0.4399348145829682,0.5901299850922073,0.44362242776772703,0.5089624064481341,0.4601450041231347,0.4711023723462224,0.32652571616026443,0.3423421123382353,0.3135910714819891,0.5176495693171134,0.40692174534602255,0.4228208617277517,0.4323751438037084,0.6186187074999733,0.6309746601786057,0.574680644547183,0.47213313079395514,0.49817968597518664,0.486640844608628,0.5909909008814914,0.5156919389368271,0.36751527513267984,0.3780404079465856,0.514014749342587,0.6771206379126905,0.45756837807071,0.3842818462057962,0.3916574457515703,0.37569365503640423,0.36562056673497506,0.35366279861091565,0.3149058401519265,0.38118528901827825,0.4738379947277944,0.5214506975017914,0.7111723090537846,1.2995639868037538,1.0006534487454615,0.5032509501899105,0.41802150054596765,0.3717824073119379,0.37928218912552114,0.410523254900306,0.41906695995338694,0.363653091710334,0.38919347483967287,0.4541216008104172,0.5271809616741335,0.5811731070942258,0.7266507945072895,1.0840752550709327,1.032609271665223,0.853772345646381,0.5984840681654338,0.4620198475601942,0.44689377705895267,0.40695824725976665,0.38576379737933114,0.39708407803856205,0.4551479170970563,0.46666207349905386,0.44523750676191626,0.4411087728310668,0.47397897307053694,0.4290267926973462,0.5493312681250208,0.67182302430358,0.594994665438668,0.6096855123800179,0.5723499508926089,0.8251737553978998,1.2961683848703507,2.257152737014281,2.3577804124032022,1.4093733745444548,1.2195682060423558,1.5043164070265667,0.9653081332514026,0.9655542654921339,0.9900985891249618,1.003602334839396,0.8562467206170848,0.899157801368022,0.6747072140004972,0.5615527077680249,0.5782246913226182,0.5421018515533814,0.49418243417700397,0.623018489593142,0.5595930035032255,0.5665333787146644,0.6986954625093055,0.9248045382824288,0.920875698580862,0.995043634674589,1.1989253338328745,1.2955393785371383,1.4291410561851796,1.3289536134382356,1.032981803248028,0.796879091030409,0.6491566187055856,0.6894217839889001,0.8814769585540799,1.3705357815714607,1.1062816145011252,1.1259967801669437,0.8252440041302187,0.7245979341015785,0.7390496071264813,0.8451994949074709,0.9145373358614873,0.7690592020871727,0.893685859874059,1.1636244639746518,1.1523294386634788,0.9923176855215422,1.2776705160646737,1.4523410800144552,1.2639774285555185,1.4124607745276643,0.9209343616473744,0.9537412612013352,0.8086309989511953,0.660220136428764,0.7342935294365724,0.6805368615557654,0.8111630404789293,0.6754732995834336,0.610613401687134,0.6817490740471907,0.6948540223094293,0.6179850541731607,0.8023489377153258,1.0040404150123243,0.9015125968146832,0.8324754166936879,1.0475169972695948,1.283059172338236,0.9870660370610118,0.9071644208976658,0.7556945282361298,0.6024894520380277,0.5788602203020623,0.5604791105346758,0.6008487136456809,0.5477521298935704,0.5925601675549825,0.6765173612337808,0.6712518085390045,0.6753930608658064,0.897949788830094,1.0570735465916874,0.8862371091105397,1.107248859786937,1.2528419066762169,1.3698405515153962,1.2506157036871937,1.04175145881047,1.5330416806590115,1.3366971282587743,0.9826837519378572,0.8911159956391699,0.7245534427723348,1.071681639023155,1.20302803894724,0.6746037081308996,0.9525643029426097,1.3735698462970112,1.0586308953938783,0.6229272946085437,0.7282561141117199,0.5023820039381687,0.7798131649789443,0.5472986924505074,0.5932605846717487,0.8974383924308065,0.6217926550573383,0.8924008621648577,0.717540596335,0.8671891914414801,0.827766506705858,1.2309779741300686,0.8950162203968287,1.605987232165922,1.8193385986452808,2.315490049194104],[1.0901829292660363,0.6515009901102821,0.9711487238970166,0.34017691789625043,0.46557060982394977,0.6372655260684827,0.47836922763661627,0.4952713910516406,0.5191843888103905,0.390318127309736,0.39499588942342767,0.46836877571191293,0.39875936169757514,0.3555871258565282,0.42747179341391134,0.4061953534213023,0.42846681916081375,0.43158555837225115,0.5389856531870236,0.501206879357555,0.6167607134721861,0.7073021303376307,0.8917078735056873,0.9292559327262316,0.7984880174040112,0.6335595509759089,0.5417825335274201,0.4508383150573233,0.4237837961526694,0.3746361293718306,0.44301651547469917,0.37877413743054117,0.4141725586670522,0.4270317010047733,0.4051506942711591,0.4444339744655737,0.4008464884467123,0.4355486522619982,0.4296366590518285,0.5081180118739582,0.6198423770454331,0.5858636646302621,0.6296353022032638,0.7252068529091316,1.1503051798315433,1.42045369476765,1.5709229229277126,0.8559556853002563,0.986330795043967,1.5889960847662141,1.1356587714415793,1.4044831317867894,1.0583094041284489,0.9825426075675481,1.4272333297539295,1.0324590832176768,0.8745660959896974,1.1128868448246254,0.8591708399286603,1.4814937900056833,0.8874449318931472,0.726337972802417,0.587199313074947,0.7761333897719712,0.7909014307517371,0.5969904262137387,0.7213362213471741,0.5099600853675439,0.6703745057036736,0.644823205553941,0.8213886312431954,1.1850367785166234,0.7440027681094344,0.8458946666422602,0.5941150921240694,0.9415906113509458,0.5119732721112731,0.4827381281638006,0.4951324062852698,0.6159887631785322,0.468941626886848,0.6843488181729633,0.862442222534563,0.5687229501170527,0.5382624651225235,0.43190326944458857,0.44155071323972456,0.5453049964332088,0.45892063443513587,0.5012046121576281,0.4737589291667058,0.7144693746393369,0.5743434097103337,0.43780956464866055,0.4314072277775852,0.5167896889756646,0.594439827848424,0.4513256622789182,0.4327854315371398,0.5163075800047207,0.45060140655592046,0.5409378200298116,0.4526055660555945,0.43299848557332143,0.5237124564488941,0.48756164201596935,0.611504062313555,0.5753049218682782,0.5389169363930115,0.6396648557737729,0.4873738954878475,0.4250691346083529,0.3890929809510407,0.36083097406644926,0.39759773480399696,0.4239629394001424,0.4844223549847609,0.4735744939923933,0.6006013734431407,0.45777784575153174,0.5011059512079392,0.49199988117738996,0.5019811101263073,0.34879429815981705,0.3712221699517982,0.344375955716051,0.6067878902216403,0.4560494759230378,0.45952149145665644,0.44940228265912824,0.6619114364334754,0.6851482129373949,0.619873275701708,0.5103203475839369,0.5156298538814507,0.46868138485821137,0.5315013413472989,0.5097501221177784,0.3648463776452328,0.3691276863765527,0.47700034187515594,0.7025775164924734,0.4570291204875515,0.394320105404089,0.39007593799059037,0.3662731357589665,0.3662603329064581,0.3744827672219637,0.36560841038303965,0.4172897030639572,0.5075626256849463,0.5272442105731868,0.7357601183949202,1.2159249162530577,0.9102871499506139,0.5031948578061771,0.4467890728918231,0.41284426081498593,0.4102547338461305,0.4419241184044585,0.4391174138782991,0.3825412377080946,0.3916576571253288,0.4461910092530214,0.5281943556031786,0.5725537776695933,0.711091444576646,1.074251224543516,1.0244143024068153,0.7938068411467792,0.5719107665714428,0.4667907294939755,0.4642638059635777,0.41966322505237297,0.4101769013522159,0.42642171425104536,0.46958871288450704,0.49140382341064454,0.4609784875903777,0.48347569704210164,0.5075921625909128,0.46571223756807983,0.5870415036353461,0.7123747022561034,0.6147364501804976,0.6278917457416157,0.5728158824278688,0.8311246102771729,1.3143275810592523,2.1232845251963837,2.157838913258867,1.5134578378835661,1.2274615278825467,1.4995981974838644,0.9944596591540648,1.054298767432689,1.1316152164447877,1.1081499152033774,0.9315280853293517,0.9406585184570978,0.7235153411332131,0.5628194335998293,0.5694309339883205,0.5339011174378848,0.4731688273884874,0.5579652405069023,0.5255677851088023,0.5245928227373529,0.6129578725652951,0.8908897823203493,0.9181106650156079,0.9658793666933518,1.1520804936264062,1.3136346556552503,1.4727517691034822,1.395361530997525,1.0225870571125906,0.7884269390474155,0.6301094042708413,0.673790542039892,0.931819904320146,1.450995766676749,1.1372089880042977,1.1144313997331112,0.8806890036852738,0.8021887159990331,0.8007957662915668,0.9782550314111087,1.0195600538806742,0.8530000820597142,1.0058836291749886,1.3234812071636894,1.2577007537307519,1.113578252114047,1.4062658078778891,1.595417562728638,1.3618444739881785,1.5128707605715717,1.0067747241322065,1.0699442169257267,0.9305189820870751,0.7096957126114555,0.7649919152639952,0.6919347206006602,0.7644977267645509,0.6607366161083494,0.5815772345708942,0.5658808628327281,0.6098457061619953,0.5068128928275829,0.6419202445995293,0.8346209986271974,0.7721253896172319,0.7018046006867372,0.8998021500669994,1.1627166385513843,0.9112043360473026,0.8205430450329639,0.688587167910618,0.5394607327320103,0.5232523943092068,0.5883896522304031,0.5752545543844751,0.5066092552241841,0.6301290975209602,0.710695492525784,0.6699390816199128,0.695540777372577,0.981615415814188,1.0909570123590602,0.8734159728032137,1.157110408051927,1.3281216990058424,1.3787778745136245,1.2279135431608328,0.9408183612160069,1.5187852496817118,1.2375051703655702,0.9497048633598811,0.9846068840268583,0.7289434203141422,1.1686763983443653,1.4912510174067029,0.71894312522567,0.6865583022426384,1.0907771775592925,0.9996889489766914,0.5664800751130378,0.7590819186073161,0.4975611797255793,0.729925747692074,0.5254435312505181,0.5312965764420216,0.7188778576054942,0.5653658224435187,0.8364998088300895,0.6523958294794401,0.7875982122111285,0.749777621303913,1.2868716688824693,0.7689788049940677,1.514321203451629,1.8120413635598176,2.2326430624223166],[1.049533332170514,0.6376157803745797,0.9717837476208722,0.3778900207587447,0.48702111568108775,0.6442072311467942,0.5036725339467865,0.5117242626850502,0.5389407646836892,0.43218291635134887,0.42643278961233577,0.5091996925740649,0.44640356370831186,0.4104655194238699,0.49430633621596437,0.44911754242678203,0.46292850247930706,0.47411468653118893,0.579578118613558,0.5395242582391571,0.6610171836036982,0.7574775321422162,0.9442686263543326,0.9589493373724006,0.8266468658055336,0.664218877160851,0.5925923259606379,0.4804495173550533,0.4585196327489807,0.41797217926765373,0.49055059253246985,0.4177068181715553,0.4490923031854936,0.46354595820764355,0.44625728005745935,0.4830424111099024,0.4413186651443619,0.4978237232073109,0.49372357698230235,0.5986921821011468,0.6864831578371605,0.662347616087262,0.7115214156946028,0.7819977699171432,1.189836412590672,1.440363479090707,1.6610826015965714,0.9532727030461856,1.045676877014855,1.6547169745987258,1.2349966861523998,1.4373297418206743,1.1799237373531672,1.0138288417065353,1.4069050650089647,1.1010263119784274,0.8943269262193247,1.1830860802115595,0.9085043299139928,1.5389903548120913,0.9288529826301334,0.7825508880976373,0.6548772388785684,0.8580362808783232,0.8688225439756744,0.6507560045032065,0.7800404468649094,0.567489193621283,0.7153985678211136,0.6939701853421102,0.8483951715978154,1.230497686667461,0.7840154046168935,0.8958380850975052,0.6352006923804693,0.9798942127037954,0.5751659731827851,0.5362008128790571,0.5441477281588503,0.665041285120483,0.5187878730668769,0.7551626998521148,0.8591659302936239,0.6628814636162086,0.6051138517669143,0.48176757912428225,0.5049128230755913,0.5862901154241602,0.505140694965787,0.5317396656415626,0.5296242550883801,0.7533219673708412,0.6255382383977419,0.4920453370739319,0.4862734824535662,0.5810240773109698,0.6372665951751466,0.4900196948694658,0.45907679623284064,0.5385700366914498,0.4654934575645668,0.5452797703712684,0.4704444128520676,0.4367755748192553,0.5293666825194274,0.47216839792069976,0.563695444011171,0.5787802149924535,0.52302043360561,0.6310068896812988,0.47111437303285386,0.4318191816609478,0.4103120665390091,0.38631224607915643,0.4431057234780293,0.46034323784788495,0.5073943180791536,0.5016591775833047,0.6283071838307097,0.49974435134018996,0.5542990225642109,0.533242331612302,0.539060572300069,0.40059541638714663,0.41753218899169475,0.39141463272601346,0.5902994711412128,0.48303573758528096,0.4519107859433021,0.46073771507352923,0.6392237906036786,0.6593879898141146,0.6445715443821208,0.5396953564593298,0.548496970182817,0.4976674465918466,0.5708324782447068,0.49475583001727774,0.40994810792656944,0.43088943384810363,0.5325827036429094,0.7520574690801587,0.5080408523831875,0.44944194508628343,0.45532755514973944,0.42367025985731316,0.4173177383756728,0.4115878910752824,0.39279314510353075,0.4443187064202991,0.5030676806988974,0.5375448992851628,0.7207727212410191,1.2317353122544725,0.9639220858293521,0.5149821192212837,0.4631624017534163,0.41887199905583666,0.4284543581019996,0.4581080735578499,0.4657595252273583,0.432775184165134,0.44538665304439545,0.4960821643867953,0.5664994933243229,0.6444825069514064,0.8149058752630607,1.1639588091142021,1.0483753994527327,0.8121316000603482,0.6303018280689656,0.4922859497871801,0.49763371858906225,0.46287331979471,0.45349883732268714,0.45244502628085187,0.4909260072189511,0.503630976085551,0.5092953677317418,0.5160181825760574,0.5716495176393636,0.48907550691866,0.6139326622435638,0.7642016785971338,0.6700749052467471,0.6862299817346476,0.6383380221927599,0.9330912451231814,1.3436333065205348,2.317491519785916,2.2832593332752933,1.7837705866132503,1.4302253137001535,1.6035538972684729,1.0600615460214071,1.0893498920576625,1.1665508477160214,1.1179720042284407,0.9211388581841529,0.9164356016999143,0.7267608740107957,0.5498705123525672,0.542789417540323,0.514273252515769,0.4705775289477139,0.5410229161123764,0.5353093050477776,0.5343913814352954,0.6043974221665442,0.8960051989616834,0.9273319876827181,0.9685975245877226,1.154880987532227,1.3206903141033224,1.484862429124104,1.4094005213629306,1.0289044978170683,0.8036594257040224,0.6440117660853403,0.6823286926045348,0.9425441348208523,1.5189879461772333,1.1654715344097977,1.116215411588957,0.9024102269051294,0.8352842130501232,0.8169406712637528,1.0360732906463426,1.0654297028988697,0.8797756979331777,1.035282745280161,1.395755658879918,1.2879568178630485,1.1395474853421175,1.4657154948100233,1.6412629814032138,1.3775253830224303,1.5388270464484548,1.00880112392028,1.0880526492340241,0.9707563195487074,0.732746018116506,0.7811207241660829,0.7028697837466781,0.7794505366093226,0.6606525080172,0.5778957534416564,0.5488391571248489,0.5944396475678185,0.4883765536811029,0.6172627137281586,0.8207108800206395,0.7634384427413203,0.6811851592803743,0.8866046695427124,1.1646938576076407,0.9047675459826551,0.808719267928552,0.676539907265481,0.5316352272360146,0.5205113855693707,0.6102037854020258,0.5802004364222518,0.5126356060152237,0.6428635616910139,0.7241213766659748,0.6743095547579986,0.6961650698523334,1.0072007477310114,1.105772188703052,0.8608999852118251,1.148814369066703,1.351384156784165,1.3655780566219629,1.1929655676884054,0.8859685419775414,1.48918935096622,1.1951623556928848,0.9512564021306384,1.027044919233981,0.7547306345454281,1.187284711708991,1.5228530512246925,0.777842150306935,0.6090533101669646,0.9008175686781241,0.9296434137483909,0.5159879233353898,0.7107789803319532,0.4731128510617015,0.7428483863398141,0.5017482877036232,0.5107183712446923,0.7236452770765938,0.5541095970838295,0.8502034439267376,0.6464476165136126,0.7875374046227834,0.7778429381938519,1.2705379814935238,0.7885110386117988,1.6048632469306827,1.827724980908113,2.36445187603153],[0.9906729265908227,0.6170907313264318,0.9872239486299205,0.4650168286677429,0.5245111503483477,0.6729359819388864,0.5474394386639582,0.5434922820988558,0.5772747838352063,0.4687387963844081,0.4537071080164148,0.5397508324335835,0.47145736491885487,0.42965227708585974,0.5113362275923343,0.4629302893126522,0.4720704043432883,0.4724340108881447,0.5674894923970573,0.5277658740662426,0.6417777861504799,0.7358647811507611,0.9206479121542684,0.9308287707230368,0.8046445751585449,0.6474138548679778,0.5778002327349622,0.47456788921795373,0.456600844245381,0.42669270728365444,0.49488015358839765,0.43065659291958264,0.4622184315909718,0.46514311001269987,0.4487434764615567,0.4796436516536802,0.44269680965688585,0.4914555559571518,0.48571448562712743,0.5877306095609168,0.683604203204968,0.6417961735633371,0.6878348490442628,0.7602957231208147,1.1690088572576796,1.4331473044872114,1.6186838851608232,0.9242985893624562,1.0586016606133661,1.6466749796759312,1.1904795667545747,1.3992573222120193,1.160642624514832,0.975973080172257,1.3848526421631726,1.0780783181832876,0.8833998479131202,1.1725232876989813,0.8960225641637756,1.5337240879171785,0.9131769948641368,0.7558208691043515,0.6373545854603917,0.8232150531698444,0.8351344179480842,0.6343267978408147,0.760364055148142,0.5554193019433561,0.7043265863766742,0.6867704574808885,0.8466184044186549,1.227440134979178,0.7692688907892354,0.8756836939601917,0.6289817094321065,0.9606751483391044,0.5624558462602048,0.5267027298312641,0.5328473800373301,0.6551010867925076,0.5174984205569387,0.7506535657342358,0.8728730530719476,0.6502771332831433,0.6122679489356616,0.4806345646819013,0.49670223976865147,0.5866862817537074,0.4978650482541743,0.5292255914978983,0.52133996139415,0.7480591761425917,0.6213436044848765,0.4974963851237503,0.49410194177179634,0.5893884979937205,0.6547784858186146,0.510967947622272,0.4844014195576536,0.5502524412031735,0.48361391938605075,0.5473509088557605,0.4963551987060967,0.4483112538960911,0.527067474255448,0.46209923693328403,0.5505076408191266,0.5731350201428885,0.51378124979374,0.6469755395409487,0.47228125691018547,0.4443495972790814,0.4372881584707713,0.4100838494055759,0.4602008750008236,0.4710993533409418,0.5106833647615697,0.49161144771709137,0.6132482995843666,0.49457802268546114,0.5456046097643914,0.5439992217577562,0.5495449500143159,0.4205807182992092,0.45375714495322883,0.4268615915117042,0.5951622491808494,0.49539128007925953,0.45225615371928407,0.4629377196643081,0.6237012362780382,0.6294173759308722,0.6303148664299588,0.5326200897045208,0.5513667555555645,0.519600328807338,0.6103079859351869,0.5149507945966098,0.4331005546136102,0.4396530445247378,0.5236308830746373,0.7263428374134837,0.48982699996218676,0.43924059337847304,0.4461730578810596,0.4269273562777518,0.4247538264965702,0.4299601890610801,0.4157152350546047,0.4733697800019314,0.5206725734137453,0.5565178853888558,0.711809811307502,1.2140659445685087,0.9844245198673196,0.5352486471024063,0.4876696550283779,0.4364008549103295,0.44966111607301695,0.4778315315027487,0.4813963395639185,0.4396043207853353,0.45050951954108737,0.4996782652225953,0.5651442561976653,0.6414077593410974,0.8171925833564632,1.1604537497168468,1.0557041735193609,0.8522985099419944,0.6505154951395574,0.49829568279606773,0.49631310059995126,0.47057582770159273,0.4601996118565348,0.4599671403108164,0.5005138533201691,0.5099415820570697,0.5145347261259714,0.5076875491751288,0.5798273445601536,0.4877200459101869,0.606700269859869,0.7425309205051461,0.6557722941714803,0.6702274049715965,0.6336136989392327,0.9285911273804863,1.3419490864762929,2.3729855161224727,2.398682614297696,1.662239430979092,1.407132476249973,1.6082289686743223,1.0416543357222603,1.0128085641615576,1.0739370744479027,1.0527954974112648,0.867484099278364,0.8921715215899437,0.695953029672034,0.5408431274228717,0.5296755752622258,0.4999734607256413,0.45826942014137795,0.540903070373756,0.5537674008990021,0.5429549803882925,0.6013837860436616,0.8773113027608432,0.8976691387746685,0.9198754193261769,1.0961063240731834,1.2611494682067805,1.3904050661261749,1.3463474864135525,0.9751157217401942,0.7933765944084251,0.6350204586238472,0.661831144934208,0.8643251485014408,1.460237682429574,1.1568657728547438,1.105281337977795,0.8551050849897455,0.7725086364522389,0.7561125025218226,0.9493479341034935,0.9648376606545193,0.8216346292123169,0.9416245361559784,1.2665554942556878,1.1817272573157471,1.0312508466281183,1.3786762490023816,1.496500746765631,1.26677695959153,1.4667054737264724,0.9282159503507875,1.024319384954404,0.8981982741652279,0.7033877625447669,0.7621151129004833,0.6874659209735751,0.8140915393842661,0.6638386883723344,0.5700089108428316,0.5753940488494319,0.6111845911517877,0.4984473574533236,0.6285303439540841,0.8213600356989728,0.7556183164659709,0.6731802317074271,0.8679457109690404,1.1277147420529379,0.868470253437858,0.7751803354670548,0.6534463831845805,0.5224338944071407,0.5176682990790743,0.5934132444990371,0.5600531208841951,0.5107792693586362,0.6113136880399113,0.6861067355905844,0.6517309990476922,0.6665738649675792,0.9233391039702291,1.0210121965248646,0.8443463688769787,1.0812513745554841,1.2508337449687037,1.306237899188561,1.1602063296073406,0.9203494338481027,1.502064802822423,1.3054935615572762,0.9614115403176535,1.0128151509458958,0.7703071753464549,1.1431333702637763,1.4925035203202393,0.7784234231076682,0.6582691483762866,0.9586595224482214,0.9274752759407418,0.4990210314997706,0.6700737571944986,0.4674593207325852,0.7580364390888386,0.5051890510566921,0.5049907377545061,0.757941684182547,0.5547067812232096,0.8415353158195059,0.615784972313627,0.7840953626550886,0.799829101646376,1.1872946089647005,0.8469448005594484,1.7894813180615339,1.9233999836723743,2.6348873670220763],[1.122985367075461,0.758135737856042,1.1630366791185645,0.48433197064919953,0.6321669388699741,0.8134673449727142,0.660704940104614,0.6629498363366635,0.6775202965085187,0.5530684218361182,0.5457682915665508,0.6037032745583278,0.5434913400611667,0.496504588685958,0.5506187906742414,0.5360778008538024,0.5438416765823179,0.5441683086262935,0.6295746198084646,0.5788293864447813,0.6834762412434875,0.7385897752291632,0.9431645878059718,0.9841600037161945,0.843921717800563,0.7008659307805086,0.5916314123496654,0.5415370283878076,0.538720177858851,0.5034362417772842,0.5588556780959473,0.5208894100529814,0.5450653778739153,0.5450290563946995,0.5300727619327362,0.5434081949998829,0.5123443898883271,0.47594581683250875,0.4749569273587559,0.5505802521139942,0.6193409053819043,0.596889696950803,0.6353033642339571,0.7478441124093091,1.1668073706834425,1.4383215390449,1.5489814235943014,0.8353578216173664,0.9555479671175936,1.564089740752353,1.1065560567112986,1.421806842429193,1.004299350216933,1.0105220102725265,1.480853805735474,1.024064885608702,0.8811866178394498,1.1177392277540918,0.8761261349544942,1.4317123340958762,0.9033703456773459,0.7880492563804478,0.6696521894053679,0.7917265196962673,0.8346186789660441,0.6517135582343467,0.7625522849674362,0.571221659391472,0.7350850571623435,0.6987194678471985,0.904033115478579,1.2496630754327203,0.7836024522646956,0.8669374665618559,0.676610225841935,0.9532340878582324,0.5754444857876121,0.5504142331359649,0.5668882992835328,0.6770679641770792,0.5490605722137014,0.7746196799191261,0.8842771295156026,0.6584918273571244,0.5820848833371254,0.5011651444609774,0.5009618189211864,0.6152937911443974,0.531206615774063,0.6086967893012033,0.5612097196810347,0.7650624588301178,0.6508265031063141,0.5421164373863375,0.548027619683804,0.6198003965900312,0.7143360040025428,0.5944409105685654,0.5800888337821574,0.6391107168271682,0.5827763712669528,0.649502938753248,0.559333639472846,0.5353844762372314,0.5861136994591909,0.5559932440401508,0.6297878561650804,0.622378522769585,0.6052853217302308,0.7058846805900649,0.5763996269375344,0.5425289480775664,0.5552577824947554,0.504230060371845,0.5318084150024478,0.5312784290394966,0.5843118482386994,0.5443406692487106,0.6415818698155404,0.5354434265877107,0.5578917379370762,0.5909305014887437,0.5961913180047056,0.48754598128404436,0.5160764502539963,0.4980927017467072,0.7462776543278204,0.5769504228411461,0.5276045725730115,0.5131713695883593,0.6945269777598396,0.7057917151259632,0.6509443248071596,0.5625976375279179,0.5535451446099355,0.5142996896615193,0.5673866024943516,0.5496167922093821,0.4426580934947686,0.44042857102390665,0.5096176732779623,0.7316726482791397,0.5023059548754876,0.4618800075743431,0.43765474298504947,0.4598999612041243,0.4786566073253383,0.5086740175223364,0.5053635866963848,0.563168515457306,0.6287088922898688,0.6505062086748872,0.8284203092216215,1.2091305640633176,0.9249006069116349,0.6120268760576855,0.5796689810727654,0.5500985269008645,0.542292920794065,0.5582461528108031,0.5283297915735733,0.4688047929030769,0.460112482017838,0.4756851775432662,0.5414975972045846,0.5755510612424208,0.7105738775018123,1.0494284864682146,1.0252946501046805,0.8039361851043973,0.5881952839070259,0.5102639080283172,0.5151878843724421,0.4924152096816371,0.49023359968519353,0.5145799989574412,0.5665777994004676,0.5696389730907966,0.5338212905722189,0.5568730867713695,0.5932559637600164,0.536701584942911,0.6178054708604769,0.7271876453530745,0.6335317697383047,0.6468225580406624,0.5896120370580901,0.8010869317876752,1.294045056616343,2.0625196405368347,2.140892822222114,1.4251122505201774,1.2095758493135906,1.516272982639304,1.009917085669028,1.0403976755910147,1.126319604742007,1.1130241713004396,0.9266209318063969,0.9565097859321638,0.7552103037343124,0.6107589851829824,0.5942900554885683,0.549806190923817,0.5203627580955762,0.5441748130465863,0.5816472854512106,0.5839029653752181,0.5879290527340207,0.8610023187288047,0.916266648458478,0.9085028185596614,1.0405148708721266,1.2519907208674463,1.3862761901764755,1.384064036972311,0.9952810127285604,0.848877948845361,0.6857636106815493,0.7078781001886387,0.8872091298074597,1.5197362614804086,1.1951319443887374,1.126948337592962,0.8947166415647188,0.8160490651307839,0.8063907868686986,0.9905452293713708,0.9930478938029824,0.8576468699072705,0.9898100477283817,1.2784657549655367,1.191860840013772,1.0649932520582932,1.3820605517830502,1.4844749427505917,1.2668158063862835,1.4914808506875856,0.9738710939890198,1.0816968215769927,0.953002970200811,0.7580669395716694,0.8194997957107244,0.738418597155254,0.8418369664549679,0.7210176568363335,0.629847091785063,0.5997856320613013,0.6446187763350907,0.515785868906944,0.5771424014747478,0.7262104973151668,0.6892136980043676,0.6196237535421091,0.7722165039050369,1.0320471842500432,0.8266067963395225,0.740176194593607,0.6512491689508216,0.5666465160613954,0.5779853818689487,0.6708029868368135,0.6150220184119345,0.5626984782668583,0.6759232203241232,0.7274333023113589,0.6861534194668473,0.7041774144575988,0.9427189685836302,1.0220923557822998,0.853689931411539,1.0843843326992697,1.2294236772460632,1.2726055605985844,1.1328876399406893,0.9052760119926868,1.4761357200918646,1.3732012344266389,1.0115812410378848,1.1501521698004502,0.8476464648727862,1.2239274423794142,1.733348974962293,0.9780815729638318,0.663682629949883,0.837642337877038,0.9156163647405424,0.5180085563675553,0.7471245780466654,0.5175513104861779,0.7325080172612007,0.5589740612981248,0.5275812320539329,0.686498389768999,0.5675604255435308,0.8170057475028002,0.6170044362107274,0.7586058600755862,0.7947977372704985,1.270640469236779,0.8361145227315658,1.7753014937115574,1.9965002058414745,2.576363570532851],[1.123867749188809,0.7409567621282804,1.1451263215974092,0.4539899672786371,0.596888621158888,0.7523552972290994,0.6039192278307235,0.6094683817534992,0.621791558724439,0.4925567231055191,0.4728824448755565,0.5517977778049391,0.5004403507379006,0.43894248342674413,0.5263057752996555,0.4908995629142508,0.5021043088623877,0.5107621247918818,0.6232992783554595,0.5606276754482956,0.6974377594001769,0.7614307740219899,0.9842241453544021,1.0360416697435895,0.8634632650755101,0.6981867753856204,0.5850201618268049,0.5056362231085522,0.49594683128805733,0.45097807190938394,0.528393850433372,0.461647475381489,0.49095223273107935,0.4942517073267292,0.48310333355276963,0.5158709229129663,0.47638936959895717,0.4844430549198473,0.4795964064268019,0.5704131194695186,0.6214302158554845,0.6129053852071871,0.658610749657315,0.7481292803171896,1.163405918420066,1.4251950010202457,1.63696239484129,0.895475383372016,0.9665697301079401,1.612220431511296,1.2076165656863436,1.477733212314829,1.0932057224927516,1.038672815027933,1.443862781147997,1.0531319725717723,0.8667801564156796,1.1633223469186953,0.8820051918882675,1.4520159337951257,0.9126115158009519,0.7852579551783441,0.6666096285654882,0.8421973246734132,0.8806472137889061,0.6506689708329523,0.7780036160199733,0.5690415203766529,0.7385613840132387,0.7050657505095942,0.8948161660386693,1.268963106022442,0.7782946900538057,0.8902536463653374,0.6591916946056039,0.9603692380435833,0.5657913792477023,0.5347725542719642,0.5534170909909991,0.6767107953936016,0.5288754738831427,0.7753466981168688,0.8479509327983275,0.7032489638549122,0.5833060868207454,0.4936298845154117,0.4944238511566441,0.5971546502627337,0.5170191866073321,0.5557111685551169,0.5464589343998224,0.7567081444069471,0.6426300387492904,0.508665975177498,0.5129056588997031,0.5933283723821278,0.6775632590501127,0.5419109243917356,0.5238476709967979,0.5740874664019353,0.5236087301190111,0.6066676972457508,0.5312967338477916,0.5153990941296605,0.6063717074481549,0.5491897545322747,0.6146334297579298,0.6445435054637677,0.6134439882162486,0.6685377770944515,0.5615653649397553,0.5273090865161337,0.5150943376933067,0.45538722393223474,0.49963957800156705,0.5131739519991894,0.5450668871529469,0.523162328101969,0.626700990265375,0.5191777676235866,0.5588653469072725,0.5768793003790841,0.5871944062671532,0.4398335846065593,0.46960066148785296,0.46937309465286425,0.7072971027067135,0.5813975298040713,0.5304384436705062,0.521767991776632,0.6926229199782467,0.7142358477688685,0.6910775114955685,0.6007607151542057,0.5854052057601358,0.5246585932056161,0.5985391563825715,0.513868936563759,0.4242647651141671,0.43809629915092985,0.5034376985006813,0.7718828334932022,0.5021636198294163,0.4492072744300099,0.4413543057225786,0.43485968570125877,0.43839421912320414,0.44734967469375897,0.4700609555388788,0.5259567320758619,0.583024650295488,0.6007154824079239,0.7983133342359813,1.168181872645213,0.8996678511161403,0.5663625540279691,0.5284985315283738,0.5068151869372574,0.4982004019280683,0.5293325797910498,0.5157455516631775,0.46063263969604495,0.4557403490369145,0.4885958258494305,0.5590809220587976,0.6250988891284669,0.7754285462434426,1.1043560085005222,1.0111222356794725,0.7510168457384593,0.6058351777314622,0.5017004088796185,0.5131689607461019,0.4990354784332935,0.4923725595599963,0.5087089528008881,0.52770163238707,0.552182362661583,0.5332411448190066,0.5651002082566315,0.6189364683673763,0.556262663303285,0.6564567194390083,0.7887585164681589,0.6759497320325031,0.6832507903915696,0.6146615581368114,0.8893735499100202,1.3189701360387913,2.175478745270667,2.139063802469771,1.7862509335787389,1.4163533301944204,1.6086505498629937,1.0913356298719912,1.1335805914566341,1.239936022682101,1.1754603737705451,0.9741124306714086,0.9632994583135381,0.8154036842256925,0.651383795822602,0.6168554709449294,0.5931309981646133,0.574311724122256,0.571935033843886,0.622148421075189,0.6205929053065314,0.6131316483355664,0.8913433495705065,0.9470550959553956,0.9421397631406783,1.0787560985259101,1.2954741469640059,1.4502276105045797,1.4381996067705791,1.0450382877448008,0.8975328330481283,0.7347888033783372,0.7606669936016515,0.985608137743032,1.6459265152912492,1.282446908357955,1.1666222956162595,0.9954222917657634,0.9394517851568994,0.9231172531803413,1.1527276222245302,1.143699137629495,0.9730105800137323,1.1205484218058412,1.4723782021965701,1.3302456220503032,1.1952735168882154,1.5398623237686808,1.6576694266317464,1.3887916196507815,1.5793132813492377,1.056870417620815,1.1794652068694162,1.0818067241295966,0.8552170669213622,0.903113731673376,0.829918696155836,0.8755464170610965,0.7698407594720762,0.695403586222161,0.6184804842975468,0.6537735209004296,0.5487904336304287,0.588111252795788,0.7262669641573959,0.7038422662543978,0.6382074389037631,0.7851658894608978,1.0498601982313438,0.8567207236075082,0.7709337385376663,0.6853796661785765,0.6215338589155338,0.6340669685800093,0.7660303867396354,0.6828286859674576,0.6164541618602289,0.7669737099140623,0.8156440824024533,0.7482100020800179,0.774388591361028,1.0657446267801018,1.1219057672755184,0.8971681266572017,1.1624717564076819,1.3550672563395794,1.3400129566342236,1.1603011468469746,0.8826570189010753,1.5225034514873212,1.3402617540296178,1.0486645439118787,1.2174652622478561,0.8834542679824847,1.2724274195264356,1.7871708534886044,1.065512345665022,0.7007532028071106,0.6630554662734355,0.8846980836491508,0.5422870243687418,0.7505085576892309,0.5367222588024113,0.7586110468575582,0.5617962600238722,0.5457519646772002,0.6601686762994959,0.5576728984829071,0.8477445693303525,0.6289734096619732,0.7612152724351847,0.7817021839460365,1.294115771110105,0.8049816780131583,1.7318473492074442,1.9500117352607438,2.5553983538794967],[1.004552921282175,0.6513211901189631,1.0897541409781424,0.4742673882450178,0.5969711475517455,0.7113710685858791,0.6010267799850056,0.6016453303327561,0.6236706835851058,0.5354103988229312,0.5039124640561198,0.5953227177143028,0.5580891851947966,0.49781835233354743,0.5964024841457717,0.5547273228206802,0.560569736573411,0.5690083043003313,0.6646866364779399,0.6181776398993521,0.7467095350568962,0.8286178071363242,1.0270062584799267,1.0454381617691428,0.9007611313800375,0.7364614303476426,0.6773701794458306,0.5643923871560784,0.5488209975236599,0.5263419850225226,0.5844151679394329,0.5264925366438098,0.5453324352339557,0.5602095305129932,0.5490496654253484,0.5804862976619243,0.557034366872218,0.6165686324011626,0.612628934980794,0.7482052978414108,0.7893142381434676,0.7550817659407737,0.8123469533917614,0.8735077727473548,1.2599621280100883,1.4952332708654668,1.7670473627902175,1.0698034079797798,1.1340465752643822,1.7483100227869484,1.3687393883489258,1.5135056190392473,1.326326850299425,1.0989955766556279,1.4420482573314546,1.1830584950918381,0.9502573229418476,1.2781316272186731,0.982242480263306,1.5627568566650356,0.9802363266156932,0.8588436264306386,0.7433308769096353,0.9398416146757694,0.9520260094368194,0.724197065164419,0.8400377779644684,0.6423516434690753,0.7877309688497514,0.7682033880171136,0.9278519416758263,1.3208593087462286,0.842685982725852,0.9680043822018359,0.7103213543717074,1.0259754565258465,0.6396936641528728,0.6139252033979875,0.6306886331522972,0.7623996908665506,0.6412023133287287,0.8886703196860221,0.8967263903318146,0.8546122612248287,0.7407934146460852,0.6195809844132341,0.6229233312288931,0.6926493389364075,0.5967771505047715,0.6066415838426769,0.6169339450572896,0.8091824560199407,0.7071832274602335,0.5840137728527447,0.5819627802929875,0.6686697346350512,0.7313760868488012,0.5901279038973656,0.5576685881756958,0.5913505911151717,0.5576406788895083,0.6108255419826513,0.6031570167873619,0.5636283611757154,0.6592143660207217,0.5723906811820426,0.6404561071422615,0.6964119190026534,0.6278253877778017,0.6791256333208533,0.5444414752427071,0.5508279021887132,0.5272463188825481,0.5014269984519636,0.5507313634955724,0.5723087204733264,0.5911164968853232,0.5830534576496719,0.6747904672476819,0.583547327017457,0.6268220074094105,0.6339622959598774,0.6361206563802957,0.5107679555107015,0.5280508929220373,0.5405873540763781,0.6756192536486173,0.6123791141415548,0.5606813013529884,0.5947524899962209,0.7198224138805029,0.7506726762101953,0.7967707292771199,0.7047393348953297,0.7079257359516086,0.637656652313757,0.7250954157822042,0.5983154186482755,0.5498324446117477,0.56641760444453,0.6068791698156094,0.8299303223827608,0.5964516367268776,0.5594979387963939,0.5769103614475991,0.5443090109326991,0.5371086759806607,0.5263104549617389,0.5243899044184426,0.5602273568453343,0.5824037160851366,0.6036924810589155,0.758965131425698,1.1726888566559541,0.9903957465141999,0.5945341667169955,0.5617196036097609,0.5239031460916714,0.540417477709906,0.5742070035284728,0.5944950549775504,0.5688186624915831,0.585863413671613,0.6295736476390285,0.7070106226930778,0.77109374323514,0.9783899841006789,1.2953198984491932,1.1415754338633215,0.9000024830584331,0.7827768788269763,0.6300592974379188,0.6460459708805153,0.6251868249754446,0.6106094279820474,0.595959069626017,0.5946230726305384,0.6313080578175276,0.6645564152842443,0.6693129580764255,0.7507132655583443,0.6333027914691395,0.7566201733937528,0.911038900878987,0.815379603544024,0.821045442450785,0.7671212683098739,1.077635222321075,1.4135731481872718,2.485045901107289,2.4129835679549956,2.0383192530183987,1.668913845019736,1.7556055894751614,1.2068194586814964,1.1769494905706193,1.2256983371664336,1.1642888969266532,0.9579333196913242,0.944569547225661,0.8059453610510415,0.6345239570230259,0.5920777539394512,0.5730372799497134,0.5480441579342192,0.5455981571111037,0.5996122460442147,0.5966809983601286,0.5860802123324474,0.8589605775865538,0.902897142294718,0.9004917533074817,1.0446019969579983,1.2461784691969684,1.3983225674815856,1.382696025568456,0.9952296878378143,0.8559643358710753,0.6981478858949305,0.7170812532063324,0.9417295282348916,1.6087321616119945,1.2687912238786134,1.1505711762467354,0.9783495835314296,0.9267155113414726,0.91146582227428,1.158613729572726,1.1331238975493123,0.9653199460922306,1.1087367636808545,1.4691717620379605,1.3146281421157653,1.178850978717369,1.5544828772405606,1.6350521936138456,1.3531738137022498,1.5673969948540212,1.0342606528447398,1.1676959869784445,1.0843996723709826,0.8587756140937717,0.9123566162574541,0.8310935366499239,0.8980966821862557,0.7674751008062417,0.6786311352580051,0.6202486000552305,0.6402402418525659,0.5192563609370873,0.5677912920359965,0.7231453702831357,0.6874143148602873,0.6149623775559613,0.7708316350235397,1.041708271777754,0.8204889421428362,0.7317196533331467,0.6421175849511878,0.5779753524855906,0.6026515685987247,0.7390504084885168,0.6490035928050685,0.585978194440193,0.7474497237816611,0.7978474045973944,0.7251219621949032,0.7639893189177288,1.0474103292551133,1.0878260035707548,0.8815457344358347,1.1381721822144564,1.3300209836980657,1.320388831057035,1.144048332860061,0.8850209999627274,1.5197652141696474,1.32867319539062,1.0119045681465222,1.1315969813730224,0.8387426552852573,1.197982306592362,1.652907983255947,0.9614099090234112,0.6724903608611528,0.704398808557641,0.8671214055589408,0.5194934148491676,0.7094624659048279,0.5368021174055877,0.7724314328390499,0.5319159354820209,0.5105940270131605,0.7106408931257061,0.5413882281040572,0.8270606890283627,0.5903148695143315,0.7649871851220079,0.7856553097901542,1.1870686618818387,0.8451339060468371,1.8631617167718806,2.01944543619368,2.810623064175306],[1.0278524917385576,0.7205693531905752,1.198843162784402,0.5891792526126333,0.6998485096091782,0.8014120416895221,0.6864967259908388,0.6846470426271407,0.6898891927558808,0.5779523083221961,0.5467987655679794,0.6294250369165334,0.5743297983464184,0.5020093646123328,0.5887881430405852,0.5475117708944702,0.5539098517756105,0.5633255225574623,0.673176729513939,0.5874398079819054,0.7286783231752056,0.7732922528827113,0.9872179911217276,1.0391585976898174,0.8731384520913777,0.7240613955809503,0.6075451589960067,0.5365103859438839,0.534526899814824,0.49725129788272576,0.5796818132113917,0.515188511080975,0.5373951666113742,0.5332761869378371,0.5264388416541563,0.552449522038859,0.5276251567849067,0.5268191860452786,0.5108993945792345,0.6054173316828755,0.6521460356409449,0.6327307931672866,0.672890312597892,0.7518425808434376,1.1540781398672573,1.4186991676632752,1.6002874940160847,0.8961186055078874,1.0067912376108492,1.6248389910124723,1.196203171518837,1.4315591122674858,1.1264657361901707,1.0228268626818056,1.4286845252572717,1.07301580696979,0.8768648651962868,1.1764313465030571,0.8924983010040777,1.4748976629510244,0.9167838122003928,0.7901164449127422,0.6899713479097997,0.8615920185487081,0.8964763814008221,0.674021259153122,0.7992981928366154,0.6122953355208197,0.7795895275119472,0.7570776932497884,0.9417173717185314,1.3040423432028532,0.8082447505216208,0.9150900695972836,0.7075836800874389,0.9685202537118645,0.5951621137093334,0.5708402782492559,0.5862746939652022,0.704084402779766,0.5632346070535309,0.8057071827445544,0.8546432316765183,0.7419460874958139,0.6326838275615805,0.5358064057539292,0.5316839614089841,0.6373444307649916,0.5505312120785774,0.5882927424849503,0.5827007806871486,0.7948873879495439,0.6895052531728753,0.5589738872555016,0.5625720378943814,0.6419153575913221,0.7250988995507669,0.5965510072610188,0.581944522473173,0.6178006868133236,0.5820920277950004,0.6468814148515216,0.5916584660881038,0.5811465034270836,0.650162907584115,0.5940169364245435,0.6588984019105644,0.7083885077686377,0.667107163864226,0.7079099871145289,0.6073213341999081,0.5932544587631895,0.5933921679427593,0.5260219293457423,0.5562639930154591,0.5741036198363649,0.5910882949852414,0.5651186674304224,0.6599667664811435,0.57579340800695,0.6102553180324978,0.6439740626862206,0.6556972028777227,0.5173979295986016,0.5678894903553833,0.5833227174491074,0.7585830259784259,0.6615266540961784,0.6062743190692361,0.6041345404225295,0.7263668090842736,0.736338070218084,0.7577626452759468,0.6702916306166683,0.6736902879966772,0.6193188499090674,0.7436601613276408,0.5838385984666626,0.49759213033589855,0.4888080676465716,0.5077263644856701,0.763692523228114,0.5141155129515945,0.47419000761277563,0.46750926195576764,0.4766520304439144,0.4871222373368485,0.5015594327407132,0.5374003609080502,0.6043307353065285,0.6333281950161046,0.6592441484259626,0.8275635771503506,1.1351112138179744,0.9572354308051949,0.6316070302768517,0.5954692786901595,0.5676011782530119,0.5476912340742743,0.5838062652132269,0.572728025709786,0.5127738091232381,0.5066337481162932,0.5338880481039235,0.6057806955816131,0.6660864139341812,0.8774003376086988,1.1997253645273536,1.1121485655860925,0.8772740699108527,0.7287006774580409,0.5649876831111541,0.5711516468090111,0.558606261128938,0.5497320437136756,0.556518824047592,0.5627087708066081,0.5880260998617123,0.5888127472434513,0.6074245200537262,0.6683176398249875,0.6026213886538156,0.7003166022173275,0.8346752631580997,0.7369776046558654,0.7243927232584512,0.6502807820486647,0.934822836491168,1.335939971314791,2.344197872824926,2.391730426299602,1.7413129847037054,1.513737634804893,1.6994702662270624,1.143032015340225,1.0917152422902154,1.1298461758120024,1.1070816264193866,0.937302389039858,0.9476421323773551,0.8175390758692324,0.6864851018683807,0.6497129661364472,0.6347001718280704,0.6226070206590422,0.6270491688928789,0.7154828140293604,0.7018505362215389,0.6642499568707542,0.9002225909372468,0.9445272266061282,0.9184167950437867,1.0234861900243248,1.2279610523659312,1.3411641265335008,1.3693539190827182,1.0104799379840776,0.9124715371721452,0.7715114933993277,0.7804838853889381,0.9053262776008582,1.6209456705779177,1.2906924042325596,1.1805067249083896,0.9761072465027433,0.9053634800792943,0.894702937759897,1.0963147885410742,1.0589036485331935,0.9386150426421287,1.0425644823500895,1.3455653408932888,1.2161432536680372,1.0961761832881958,1.4564640719618285,1.4637413183719001,1.2378375754813453,1.4898134324581416,0.98741814174772,1.1287186386063195,1.038010569729048,0.866693631555474,0.9270543512451782,0.8662273695503179,0.9448486817350914,0.8096282810519217,0.7420182825296078,0.695003809770818,0.7069713785117124,0.6041988052969444,0.6347608350713233,0.7528292777436298,0.7324090320839141,0.67640000389053,0.7882757892315024,1.0250449899956686,0.8445728963582863,0.766657358054473,0.698809411578459,0.6624169514817064,0.6768813458680588,0.7855093152545723,0.7141163522758194,0.6721536181774012,0.777738660396302,0.8189936403767206,0.7685286070383748,0.7892060768155376,0.9964254839298728,1.0379393482221304,0.8974943379467635,1.0771583714767334,1.219813767601104,1.2552136252806816,1.113147840562792,0.9365946791443192,1.5192499658424243,1.4674441610307516,1.0604864329138066,1.2025047838853744,0.9355030793174892,1.2363695296689083,1.7353033935541835,1.1201515106669335,0.8258169112372352,0.7485837777625481,0.8679513340250611,0.6031885883613188,0.7289985644066191,0.6076435070428952,0.8431295603134107,0.6030965657186859,0.587299400647513,0.7278457019746714,0.5980792918966837,0.87896083094931,0.6429011962426409,0.7915558110708967,0.8502678166906441,1.2059412176867315,0.928642497926853,2.046387240863795,2.2220580501307245,3.0921660753624263],[1.1383475695224983,0.8364043015559648,1.3029245093731967,0.6284493618048694,0.7660509563521966,0.8643210989665401,0.7411782954292526,0.7540137280716819,0.737479275539858,0.6242991321803214,0.5963000040376806,0.6783841135174632,0.6266461075793508,0.5425854192827636,0.6277851253205889,0.5965859546952981,0.6095344864806529,0.6338441967009645,0.7586539374681591,0.6748342490289857,0.8240320500526278,0.8592436206081107,1.0884062343326704,1.1719614855122482,0.9790743655481251,0.8273922064451724,0.6762861901896157,0.6212106178170078,0.6159269209895525,0.5609921949460882,0.6409897174564305,0.576288942686245,0.5957038351540798,0.5915003713157847,0.5919901038097694,0.6211710471134729,0.59569869780916,0.577633120199763,0.5623463234975796,0.6437088639598199,0.6639817845853322,0.6887585054755974,0.7291925294454344,0.7951943820968571,1.1931098039708876,1.4502008360584475,1.643504981026052,0.920989369407758,0.9757594265764833,1.6253799279793582,1.232506865047075,1.5130013939279976,1.1023770880589654,1.1136653353281518,1.5158921230137818,1.0793080421647128,0.8842042700986893,1.2014916257994506,0.9200790362426142,1.4155664163224575,0.9686873469507925,0.8701850840797923,0.7672928214878129,0.9484979028273789,0.9936901786895564,0.7504634224970772,0.8606402367906917,0.6865818899050339,0.8371182484568375,0.7984514347289902,0.9879763958333281,1.3371817495582357,0.8409394208162195,0.9559554012297333,0.7728150992871943,0.9856716300329063,0.6663848551778789,0.6411373277085022,0.6611108506100637,0.7754008255218803,0.6187052761850034,0.8678659948154421,0.8512573991382107,0.7998271782958932,0.644793098834803,0.5859364469418374,0.5884293502685172,0.690500481265186,0.6237157074013446,0.6598657804983823,0.6403631065192371,0.8338511676114008,0.7350772119821536,0.610894459671461,0.6092570138829158,0.6723268553311736,0.757861216755114,0.6489804918838273,0.6350732236380655,0.6749086816045768,0.6467165381932724,0.7130517242708064,0.6485435597576036,0.6529066605878877,0.7134336414909925,0.6624889323469324,0.7286667782859855,0.771190338780066,0.7541520915987443,0.7521682612426627,0.6938331919243682,0.6697408160678265,0.6709851301630105,0.588020204534402,0.6065360705611976,0.6296970058473589,0.6607990639330334,0.6406606480845001,0.7221069943038083,0.6452670582730947,0.6638994246876958,0.6879138479058162,0.6960354567341026,0.5525425783168508,0.6035481266529249,0.6322172291648381,0.8386945298745084,0.7338445433623277,0.6832193007699102,0.6670102144092152,0.8023954740799086,0.8178469656375673,0.8007593417992048,0.722457901843839,0.7091254238455164,0.64709824128155,0.7622684519189115,0.5974343259354581,0.5135688779328976,0.5362124028889858,0.5974357117317668,0.8474849104602219,0.6005691994078092,0.5403132574253141,0.5262311001695217,0.5259457100714139,0.5347366309036379,0.5541667236788037,0.6070238912152554,0.671178697546194,0.708504405210552,0.7252512421153848,0.9162362856900111,1.1399462186714704,0.9441119849392821,0.6959147627629466,0.6625812226735106,0.6465314059092924,0.6115164720074987,0.6514007113813642,0.6166630065540923,0.5497924233521307,0.5356030555897592,0.5465081751298788,0.6026180116002731,0.6673969749129932,0.8336578805965114,1.1389254521425083,1.0573569909557266,0.7838829978657857,0.6991894886390736,0.5776582385667117,0.5867439500523393,0.5853114051443219,0.5817141379124188,0.5999776106331639,0.611702841977551,0.6301047791595944,0.6153489421477832,0.6556771898722146,0.6942620238609659,0.649183877756767,0.7285903596606175,0.8479617109676831,0.7388426412421762,0.7201578955002671,0.661120366447449,0.9084091448905962,1.3146010228154172,2.1719707388384126,2.1703566941509087,1.8297196857694427,1.5119577921969847,1.6773278516137058,1.1660301424080959,1.179132442248663,1.2644422265468893,1.2072439781221778,1.0266696266251378,1.0267494565261288,0.9319761783616632,0.7991497748055433,0.7515469439570612,0.7464220615043171,0.7477044627364167,0.7132627123754002,0.8135059811771063,0.81074563229796,0.7520019964805849,0.9682486141408063,1.0309246408117483,0.994807793274779,1.070329228537376,1.286477095881008,1.4131116762294458,1.4572877243502151,1.0979776697050203,1.0279529815120463,0.8930376201938107,0.8998332602720845,1.0156539931356414,1.7566879811614706,1.3882562635297182,1.2477494522105905,1.0995660245392567,1.0469695782129114,1.0346196000664172,1.2467137784302813,1.200110074346937,1.0698513525287814,1.1808358370313503,1.4819174626448985,1.3230994347060638,1.2177139516317481,1.5762265872612777,1.576819932092142,1.3214956773484925,1.5690135214301437,1.0909867489716738,1.2480537593790741,1.1756150648139705,0.9956495427758613,1.0390998812324517,0.9992897371560681,1.03058911869077,0.9218870083613527,0.8769454349394024,0.8063877539585541,0.8121446924502573,0.7172266471828697,0.7156751504763821,0.7907948198560888,0.7872330493692624,0.7509556688853152,0.8266624220730544,1.0426761067211678,0.9095647610971799,0.8453439678501882,0.8007971672819849,0.7939765187609303,0.8115366717864521,0.9312439001058941,0.8459496622533388,0.7994013818947984,0.9143481297429027,0.9437183838615161,0.8839064734420393,0.9024954085609244,1.1130555214063924,1.1240012249902716,0.9738204696318409,1.1551593701344782,1.303103152520285,1.2997649228154406,1.1460818843906233,0.9928832415113027,1.5819301334614349,1.553420180001751,1.177064535768708,1.3671272092155948,1.06035155256349,1.35000329752206,1.9177838388363322,1.357455746045797,1.0380019863705876,0.7611728770574024,0.8854128781797332,0.7046155645766624,0.8200415344449736,0.7068820795579828,0.8917647515717371,0.6945545573441058,0.6810149083895539,0.7581081456467595,0.6777601521688982,0.9412174411778869,0.7317860611683963,0.8437343093247047,0.8888942912560567,1.3063977318520013,0.9470789773505149,2.0353164024116395,2.253716451989301,3.044276246097808],[1.1028322883970085,0.781754360995264,1.2685750594472271,0.5926759596283533,0.7554386349146859,0.8370962822698668,0.7317829049318791,0.7465122899857486,0.7263337419616805,0.6304047695742064,0.5976927815612785,0.680968382023295,0.6453448367358035,0.5617087715382865,0.6637795880723487,0.6326393255211222,0.6353041121893777,0.6660245576530982,0.8048189564798469,0.7150696611368789,0.880597196543357,0.92179456167013,1.1547704574263598,1.2348208557255096,1.017321207060985,0.8697310773642648,0.7191462444594365,0.6515611867641696,0.636899136901453,0.596967506442781,0.6754593622296594,0.6060728480557673,0.6254302920388202,0.6265759781820752,0.6317103829573247,0.6593827688790151,0.6510495323689729,0.6500639932514573,0.6342855060821311,0.7529670637054159,0.7446887891041972,0.7680602607976396,0.8039936459705807,0.8377440652068153,1.2176226107740051,1.4501240358380565,1.73240372953573,1.011980149125827,1.0463796965212793,1.7182043994958152,1.3646148610965765,1.5583286131601943,1.2449524536052836,1.1914519102776548,1.528830222957095,1.1481330846772129,0.9120592422137447,1.2642019703977676,0.9570018152235565,1.4483302885707696,1.0018611361512402,0.9280422629152759,0.8300929096981176,1.031807161002389,1.0564736375492716,0.8062493711437178,0.9296112646295082,0.7445466117303533,0.8914651428936402,0.8545732903735208,1.0379872578043536,1.4107506779862022,0.9051906631035822,1.0143401004216528,0.8178074534875195,1.055433641886701,0.7195212134837266,0.6919546225472981,0.7156675279986113,0.8293046234667122,0.6877608889728428,0.9526232271960201,0.8950870338919361,0.9434987614842263,0.7491041375062336,0.6714038639549837,0.664330678832702,0.7434129250873992,0.6722056170488486,0.6947857947976426,0.6864327028619358,0.869165993358487,0.7857176516952991,0.6623833081413549,0.6502014212158914,0.7208655721646049,0.7935481642212726,0.6723279073005154,0.6480212784362013,0.6760695598022767,0.6583436907343827,0.7343944943905207,0.6961285118065044,0.714140672918751,0.796004840368199,0.7304729335714243,0.8296089030825161,0.8730231142907304,0.8269817047292654,0.8018845436013439,0.7251240152283437,0.7109893585661975,0.6840186439255174,0.6213866980337318,0.6332193797315074,0.66289308160573,0.6877709930269036,0.678412846432461,0.7573369027349146,0.687378663632458,0.7125032802921623,0.7267188423573399,0.7301386831275515,0.575612312187741,0.6168516553619682,0.6694580259182383,0.8435955105706446,0.7717320559412572,0.7467789765159649,0.7701798616401935,0.8818000269332189,0.9309728861802858,0.9534246944518421,0.8638626901978088,0.8462355840656224,0.748013086008318,0.8716619627529021,0.6541438820227335,0.5668048912808151,0.5946176238733538,0.6324854826959428,0.8615179472944335,0.6470612299965668,0.5898945226541223,0.5911475646573049,0.5823924978545996,0.585780865525088,0.5955584483454192,0.6465625082594997,0.6913420150489347,0.7234863864094789,0.7278966588399499,0.9095571974152721,1.1336721094070408,0.9731285402367649,0.7072642458345245,0.6741878591718101,0.6699493531449306,0.639993857717916,0.6966494569819955,0.6810196183277087,0.6142978326447389,0.6122208042588797,0.634196629245907,0.7069855281189673,0.7426418068137146,1.0058107193253043,1.2915817231464506,1.1715084175380235,0.8834873579370645,0.8451982301262092,0.6866533403414954,0.701823398005536,0.6930076396198088,0.6740316706603129,0.6827115850039742,0.6543264595674725,0.7093526889647208,0.720246421568256,0.7614574997521423,0.8125043815284473,0.7497651878264372,0.8553942443503326,0.9898250530471575,0.8792530562786208,0.833591573334198,0.7581247514781941,1.0406914790029254,1.3782552475113292,2.365340179185993,2.2733786469470796,2.2014472980157387,1.7755302499632113,1.8087529754162495,1.3282121515320853,1.3214606885457845,1.3522850904160273,1.2709698924696813,1.089418558382288,1.0637939837618804,0.9997156987629648,0.8583199440700727,0.7975465704481516,0.7998297750467297,0.8037312867319069,0.7351692856386897,0.8305045400653267,0.8433997023162604,0.7716959297966403,0.9629777395670903,1.0295223464691066,0.9962545547690772,1.0605834544588688,1.2758355175739113,1.4193172672641208,1.4668028106674331,1.1086137860293608,1.0602244025699052,0.9335523727926837,0.9433382690366597,1.0943020483550268,1.834397490837103,1.4729773211488553,1.2958832697427138,1.1876020164494847,1.1615751039019748,1.1417464088548535,1.3866561247678104,1.334447053718828,1.1776739212789331,1.296439476135987,1.617873709796648,1.4297972315289835,1.3254865810326648,1.701183557844356,1.690728427987224,1.4091422438092795,1.636655204432612,1.169535318084133,1.3260185131377626,1.2844401216289536,1.0885874644315434,1.1383407241570889,1.101510879478772,1.1098306511217324,1.0023768226690344,0.9563536976553381,0.8691551003125203,0.8557206890519486,0.7620522782340631,0.7439084032189811,0.800254035054404,0.7952400297172539,0.7713378953648546,0.8322927960037231,1.0354794220189387,0.9112943919669696,0.8579048608197188,0.8285581021062026,0.8451887117452145,0.8758072582059273,1.0212058394712942,0.9122019069642009,0.8542120863373244,0.9985554215731014,1.0290282018708465,0.9501186633589314,0.9795839784156093,1.217811070129251,1.2072264935598334,1.038019499748523,1.2369400499251315,1.4043995561574523,1.3741213644932695,1.2043810873969172,1.0315126132645929,1.6298717672394305,1.5551807583535995,1.2150912362348802,1.382665980159596,1.071011282283737,1.3413104662030493,1.904150717594161,1.3538670201270377,1.0700029983534463,0.8027651231907527,0.9059454539383066,0.7422327248496637,0.8591092863707557,0.7406170008257718,0.9103262483143858,0.7192455618339463,0.7077866275342342,0.7798328108637911,0.6841974181936796,0.941290751508384,0.7229636957147249,0.8403030798344968,0.8745135912065433,1.2762995159802832,0.9322687804445918,2.0416543643094367,2.2599638612632407,3.1150392402694265],[1.0154790766216173,0.7433924404940039,1.2461924055125895,0.6918055882484732,0.7977101528138212,0.8627784001324977,0.78556648015421,0.7835180084472256,0.7813808911595259,0.6960215264245123,0.6641677071093681,0.738808105478977,0.6938067770715182,0.6282706206828109,0.7180574902614186,0.6783991222893094,0.6665107412586913,0.6824175218429157,0.8033801867153194,0.7046615231312826,0.8534654239493086,0.877301909057838,1.100552498408834,1.1597398762071454,0.9677607163701127,0.8384083053467439,0.7129341056669412,0.6523868891988326,0.6472807784126875,0.6301589135385689,0.6992503482804713,0.6427129081981705,0.6601883551691281,0.6459250103396229,0.6489489838781597,0.6704166151820802,0.6706071915899626,0.6642697849306257,0.6535730759918567,0.7845776687029031,0.7821649828353504,0.7571729884144941,0.7940569912940671,0.8552402516179295,1.213264243398476,1.4598464457549427,1.7005887047155608,1.0236278764697309,1.1147045303788026,1.7329720364327912,1.3539772626570392,1.527843445009705,1.311809247832033,1.1408602637272045,1.4632303013028232,1.183245889433278,0.9416549685918317,1.2558607893109954,0.9668197596514931,1.5171582846833582,0.9846513795867193,0.900533431428272,0.808004254452431,0.9941373908946192,1.0129891102162196,0.7826392127742934,0.9154843204884826,0.7447077695438987,0.9026925585316199,0.8770535599829673,1.0640459459920246,1.4377914328396124,0.927416040529235,1.016106112114827,0.8290645687253544,1.059139971880027,0.7117726620722967,0.689656358598894,0.7089556656479576,0.8190691530047982,0.7065184896640756,0.9559922119295309,0.9325813955727754,0.9662497010442154,0.8024515031696422,0.6987598569118406,0.6745143378105555,0.7594822872356,0.6738100549709435,0.6955545449546456,0.6975623921303767,0.8735231243279858,0.8000896257401876,0.699655800459183,0.6949916667595176,0.7692237103045871,0.8483247979936411,0.7213843182706721,0.6954244441474141,0.7131598647961174,0.6858086861030852,0.761708926497718,0.736919947674354,0.7611128666694661,0.8287846529832964,0.7743218584657819,0.8802035599215102,0.9286967992014505,0.8572385969247771,0.8484137062715614,0.7571492050286001,0.7503476502068598,0.7308634755593131,0.6853138204513951,0.688927817176831,0.7129596056045008,0.7157931101856408,0.6984218094839075,0.764961562920434,0.7109798647909179,0.7493709691374967,0.7745513189165747,0.7841331008259534,0.6522509227024599,0.7023361738470767,0.7515044096994785,0.868014076682077,0.8090243969416514,0.8034423673705252,0.8291749166278205,0.9110892731789547,0.9585843668573525,1.0141981198861436,0.9269809295880613,0.9277187527951662,0.8385020807249547,0.9749216274441116,0.7598953004856698,0.6702550739130075,0.6569317441594409,0.6298850428830928,0.8193238317598587,0.6234776118393598,0.6023774291555376,0.6063181230408781,0.6145298541616754,0.629126993982508,0.6534276952066397,0.6971693073304185,0.7415352949797976,0.763097552445516,0.7704935998448067,0.9080873167527218,1.153332113719188,1.033687913598309,0.7405079653541481,0.7124669719115467,0.7042404525448078,0.6815121799960996,0.7385772376225406,0.7360295040150914,0.6622280531106219,0.6686697760690106,0.6893030783010703,0.7850155820541765,0.8344356561023967,1.1416675598488815,1.4475439909013244,1.3232307648441668,1.0669519789644983,0.9771934398533921,0.7823461929303194,0.7826601051064151,0.7621763887841532,0.7327153349991393,0.7309556665858921,0.6873236432164215,0.747644707596978,0.7696949307043793,0.7975423496350093,0.8679197208416803,0.8055215591685784,0.9298756365823206,1.0674833901624887,0.9723159720913718,0.9101568085174555,0.8227663262679992,1.1252441065841683,1.4508976289260234,2.5601669968750804,2.5559306965017505,2.1110277127974433,1.8216553380101406,1.8757206546005525,1.3623190056157384,1.2837342834241596,1.2457801449125934,1.2026865271438347,1.0468991726736088,1.0399672800898243,0.9624694502187887,0.8539642938906716,0.8110856849812201,0.8023531681521926,0.7934499706604917,0.7701555078362146,0.8769814316273722,0.8623248865312886,0.7992465056802047,0.981258104772916,1.0286323061116394,0.9930070123910419,1.0628970169319438,1.2635607598319232,1.367933149522927,1.4219109607910023,1.0881656180573245,1.0288583587292213,0.9126632449978677,0.914834166830497,1.0077719164340324,1.7569506772847574,1.4183182018377631,1.2730095942181425,1.1210222570813633,1.0735627964378307,1.0610260583965483,1.2774672365187623,1.2226191356135825,1.1064824686722925,1.1944061192648752,1.4839569834380324,1.32591862511934,1.2253050706053836,1.580068307629471,1.5322262506508755,1.3001814828199496,1.5456018645331089,1.097891052137524,1.2547173255418114,1.2019513381852691,1.0424520613132906,1.1047680259172925,1.07014038709238,1.1168737075531199,0.9839531833050306,0.9234012164239196,0.870293875948351,0.8573033116143539,0.7705191872309429,0.7639449747342869,0.8296044553671229,0.829167780080164,0.7934065752270034,0.858672570889736,1.0461019584609415,0.9295371889084462,0.8647283405326924,0.8217574048965824,0.8293671675294906,0.8580954771159194,0.9680974941543172,0.8781292285589116,0.8437337527492466,0.9490161665197325,0.9766113360784766,0.9150643095657585,0.940845205729774,1.1230904496605167,1.129815855054237,1.0082164926617085,1.1592987236918897,1.2999917604653932,1.3078296447274496,1.1659551862857065,1.0285353376502462,1.5935419073606372,1.5736836925528,1.1666012866823936,1.3185110167287681,1.0675852269733654,1.310812720670179,1.8174818980215115,1.2959979123840242,1.029851839717886,0.8426281446425032,0.9084527309271915,0.7828624603831453,0.8522835776297741,0.7764286746806425,0.9820363421063529,0.7502781091870968,0.7419487253380321,0.829829071417827,0.7276921140180189,0.9735431317018588,0.7491033933210111,0.8763508127096366,0.942780623861606,1.2363896021284013,1.0208104705782415,2.2205914280322894,2.4396052329611932,3.460008370624258],[1.11849106722471,0.8714406617797091,1.366665635243687,0.7504362372751823,0.8979500591479077,0.9432796286465451,0.8509843861967752,0.8721837114666023,0.8366744489545584,0.744514237347201,0.7237653035631553,0.801419384878433,0.7511383873164175,0.6818540877623344,0.75838317000104,0.7268274537154213,0.7370638243366522,0.7750194602850357,0.9086852807937819,0.816975858388969,0.9618033103241407,0.9600497030644547,1.1916287426916332,1.2930503188389655,1.0958489683600068,0.9754587241346948,0.7829049148348949,0.7612740681950633,0.7345171826784891,0.6889559697370458,0.758726277929241,0.7012569862806335,0.7140478941449768,0.7111755410075312,0.7012314256028185,0.7296976099676746,0.703312914134082,0.6793014869642572,0.6585156115657933,0.7048326672308759,0.7154952560042965,0.7721793265629238,0.7909523056002197,0.8423348272093961,1.2137296739785173,1.46665402906732,1.6222777517925302,0.9472895269565634,1.004339580300198,1.64649560961509,1.2535009078138155,1.518017992964364,1.1426697875865288,1.1419259876465566,1.5560321324644821,1.0937372154568794,0.9129416059873409,1.267205989729487,0.9641422058269593,1.4039536760967055,1.0474050072552346,0.9629747556497674,0.888577907459194,1.0776357939706527,1.1229064039858803,0.8617611906562306,0.9789779047528078,0.8296438689427001,0.9704230050720466,0.9423639425075024,1.1148504666030956,1.452957528026041,0.9702736337505211,1.0523134198383746,0.9100138796953521,1.0726793949862674,0.7962603855227485,0.7564882028337572,0.7619247082831916,0.8400628434892476,0.7048868109260894,0.9357588699666053,0.9167198708269844,0.9127346143756063,0.729565501180957,0.6853650935864894,0.6820798871750742,0.7701096967967063,0.7214015865322068,0.7679809730417811,0.7572183211037998,0.9279644994177906,0.8512923058928122,0.7301119346014475,0.7277676761647021,0.777142585163737,0.8875419555274865,0.7633686421216292,0.7447485297731808,0.7701272574197595,0.7437375186718612,0.811398394387092,0.7434102029185,0.7773883406038317,0.8343076938545461,0.7956138286791139,0.8800086901224656,0.9306992313142856,0.9175811799929995,0.8879838744956767,0.834785783029606,0.809816276425846,0.8010094414984215,0.7195648731015978,0.7272257673834644,0.7676602783725127,0.8088015887916635,0.8172570221861298,0.8956882826454476,0.8171275086893579,0.8456313648570167,0.8249421021998745,0.8341054007534155,0.6753592209132544,0.7260718067934909,0.7792515097821755,0.9502196175252707,0.8799891437650503,0.8569201121387945,0.8351447027809494,0.9568347429976864,0.9685541878814948,0.9578670165987555,0.8679955737443095,0.8655074174183361,0.7962185448579014,0.9841457733919063,0.7199733886909943,0.639988973291471,0.6592959944894701,0.8101909573002721,0.9989565790434084,0.7715610885620078,0.6835108125634346,0.6438896892161795,0.6486015111550837,0.6575846397941317,0.6689444401035977,0.7325577594349912,0.796167475808813,0.8139305070876115,0.8404527486661457,1.001502865703055,1.138422298473817,1.0025999410878186,0.800844981911244,0.7720136552950148,0.7615918970257413,0.7158241373068339,0.76685728672797,0.7247724334601696,0.6481333940034067,0.6366886829055426,0.6305091354859963,0.6670493490860679,0.7385450948986263,0.9312002920369145,1.199028360577568,1.1830598977065112,0.9016953755033855,0.8472256799506276,0.695634369734969,0.688604479178211,0.6910950000692525,0.6823414362607688,0.7072145701429144,0.6973576650388931,0.7250233361367897,0.7019933030383451,0.7535066785774918,0.7808733402010745,0.7667687536846176,0.8302049410785577,0.9381378848283172,0.8352791715280748,0.7658816707793104,0.6991543335253939,0.9348807271425501,1.3190840618101511,2.253938399554466,2.3181029152480876,1.7791208979365996,1.5878181522877175,1.7974283925603067,1.2852937555122423,1.2567667150421384,1.291892225749073,1.2606137824972097,1.1286907274183315,1.1362272363145225,1.0723733862679063,0.9756497269357883,0.9365105185945698,0.9429241681780006,0.9386200849880316,0.8959745186189187,1.0008568814964476,1.0007204200759217,0.923230499792688,1.0616228892723356,1.1195097019160105,1.0784365303132377,1.104598978489081,1.293913167688112,1.388719395554428,1.4661367411628397,1.1732195815835254,1.1522147257044284,1.0572305737854224,1.0588990236209532,1.1056188293707572,1.8577438883565536,1.5094817788206012,1.3682060532281366,1.2276804687564777,1.1678083956914245,1.1603132119593338,1.3504737284405834,1.2948919200324454,1.1901959973406782,1.2690218187098692,1.5209763558268754,1.3629148494024084,1.2790238139081989,1.5757083223570094,1.5172263056334252,1.334775967792619,1.553275755982216,1.1705972290954163,1.3190920072532613,1.2673013808345635,1.1439025086016088,1.1874765930945366,1.1764996130054202,1.1832797438774472,1.083281358146961,1.0614163802513499,0.9960775330428995,0.9766118292428819,0.9106272959816708,0.8894188483435758,0.9191401233365027,0.92299430473924,0.9119913942825252,0.9392853668950245,1.09344864883083,1.011726333062747,0.9729991699000988,0.9603411490986021,0.9847830614008558,1.007290074417758,1.1039906894384701,1.0216582515242987,0.991562215428618,1.079416989302437,1.1047877358948963,1.0561334552261108,1.0709431061915087,1.2015716685184838,1.2139026308504006,1.130065906978275,1.2225553630777035,1.35512495352326,1.3463577707047774,1.2305318372969314,1.159586009943292,1.6521598540520415,1.7138477384074677,1.2864308764787076,1.4255046212365419,1.1969657172544939,1.3870832246074407,1.9177898774514883,1.492701763091674,1.243326767351713,1.0243094576407368,1.0317996858342577,0.9323248585760645,0.9713821669038978,0.8925831138522782,1.0610735502194144,0.8511625985432019,0.849144204469878,0.8982509224156932,0.8178185132502955,1.0525850835084525,0.8452544203039444,0.9421148677707949,0.9946549053384351,1.2961659331628559,1.1008987041893374,2.278829348159489,2.5820086816248193,3.5512155533083067],[1.205751601697319,1.004546901871157,1.505604440238092,0.7904917735312009,0.9771444733089303,0.9968407102480424,0.8779009628758775,0.9189619707592088,0.8444660811133271,0.7424206743192147,0.7133126323898488,0.8063520059376378,0.7670912877237657,0.663059653994994,0.7614713218894865,0.7437472786577687,0.746512879941236,0.811225031497293,0.9813048626040521,0.8887078160829871,1.0751561197251416,1.0794497238973841,1.338988759823413,1.4799498150137615,1.21990105576659,1.0799411179760832,0.8581822566073336,0.8011011123985247,0.7758401523335958,0.7288475744318139,0.7924220437004281,0.7473090654654773,0.7575056396533484,0.7617938637060492,0.7684853775115036,0.7939818169986934,0.7743951438950427,0.7444596784660337,0.7435320725346637,0.8125167507043429,0.8024467100066772,0.8671959514562407,0.902670427376672,0.9458097580746136,1.3104638897552296,1.5271068585333754,1.7542850783811192,1.0511041672267474,1.033647454954798,1.6801398874593527,1.364222130143072,1.6502342231396145,1.2062719041201917,1.2811070131529307,1.633836478839231,1.1850528634870094,0.997782184047663,1.3151182475859204,1.057152503627886,1.4327933989908146,1.154273020127377,1.075420897853423,0.9846071485919597,1.1853538812110636,1.2321319366896624,0.9623043358513079,1.0882723964070995,0.9002797358990705,1.0368406018515324,0.9559654969419537,1.1323327640613101,1.4771638426471316,0.999522890481535,1.1225626801302944,0.9605730377492451,1.1424738410130633,0.8673645630579367,0.8308695304288924,0.8500767355865066,0.9489516317381176,0.8041476925893916,1.0364195448087297,0.9761180457580001,1.0530674853162054,0.8119708252238008,0.7710527811398761,0.7701255207002075,0.8505187546088154,0.8043909391643105,0.8421455827189237,0.8025734464951799,0.9609226611175959,0.8757131323359306,0.7657111486824932,0.7545333676674033,0.7913294765786019,0.8781273189585529,0.7891879535050711,0.7718462681610256,0.8242707063048416,0.8033155236325791,0.8985819931999092,0.8192913918080643,0.8820443606227575,0.9736449984886998,0.9240226068176974,1.0313911786270147,1.079560193097852,1.0509666569750984,0.9923297015369309,0.9489365637955121,0.9016196910191471,0.8533956432014873,0.7582733860586,0.73891258490966,0.7671516881740826,0.8138496447269782,0.8222823958515423,0.9120974122678482,0.8268189712260834,0.8249495253138764,0.8153250364807197,0.8099205037082049,0.6608487324569178,0.7361930362376482,0.8017517168868671,0.9955848836275079,0.9664116245279728,0.9604070267540955,0.9709273957477784,1.080351683356938,1.1407487278893305,1.126769777723609,1.0319129033891055,0.999443729021813,0.8896791872598565,1.0530969613464274,0.755778341899102,0.6406091238162643,0.685322488730819,0.837924983815838,1.0628171738193304,0.8245868144649952,0.7168751704812375,0.7057169242828241,0.6921766282336103,0.6876825198055695,0.7150969075540452,0.7989473953773127,0.8420654220952043,0.8926704463691724,0.8970826437205889,1.0789878793238148,1.1566509687490794,1.0157351877930554,0.8687708821711552,0.8227151804216907,0.8472681104771451,0.785958477500706,0.8552700432460474,0.8078903551387476,0.720153907683342,0.7034374900809961,0.7192195587635433,0.7570604149853861,0.802770776171076,0.9987869425341392,1.213782909661132,1.1869553854993136,0.8894482346488837,0.9137931423386885,0.78254067161473,0.794035241860666,0.7962586308222184,0.7827777247187926,0.8167695933179071,0.7743548575972132,0.8289710073381775,0.8014504604097165,0.8785229402069162,0.8809288476432188,0.8978089077021962,0.9606764054424459,1.0591322779419292,0.9378016179668642,0.8592599686424605,0.795371751415413,1.014985903769362,1.3249413417996108,2.116514905969567,2.0599425026491054,2.1977347718496008,1.7967346200926702,1.8473025931163873,1.4337293062552756,1.4481194443188072,1.4668863865423474,1.3815640126616813,1.2591867319076109,1.2106646423461644,1.2105744863330838,1.1045974439729889,1.05411236543448,1.0757888920766034,1.0883338534585028,1.007098655866148,1.1284726534720717,1.1590277598446568,1.0584555475740864,1.1795443101292686,1.271667848230063,1.2361643844173396,1.2240970017905735,1.421946481136401,1.5678823859347613,1.653922453206567,1.3573863589745048,1.3547341043122594,1.2590140662271243,1.2593686778324187,1.320015418794637,2.082804373109084,1.7243049604031804,1.4925800024351885,1.421777926737723,1.398074420893071,1.3675878122248861,1.5999237551789691,1.5410588705568948,1.4005006157319846,1.4830336724888664,1.7566003573069366,1.575716254851581,1.4907493744625917,1.824929750358532,1.7526285632943837,1.5064931749623216,1.7236373045117395,1.3408894229568273,1.4566708715626384,1.467297835117858,1.305512851852146,1.368920315914776,1.3598727285334498,1.3390072628707117,1.2455724886513626,1.2341704087988035,1.1421393220997809,1.100921635099917,1.05088309539915,1.0153553092626946,1.0125113376588555,1.031935643546425,1.0512996605499902,1.0551410317462728,1.193172095229838,1.138946959030571,1.1124428694218618,1.115047425864852,1.1719679358075457,1.1883925962912523,1.3207269692641461,1.2223022205226213,1.1674411218008907,1.2726945480422955,1.2944637992743877,1.2272713637465835,1.2425004743450674,1.4208052122020616,1.3888140563779454,1.2771134013424494,1.4056843220991617,1.5233689975343534,1.5100907042515377,1.3856112189026095,1.31440058036046,1.8090666427529727,1.8367355916364212,1.489536489374192,1.6736636092005686,1.384735256065477,1.5528903451779585,2.142620638925974,1.751281437026283,1.5421426630255508,1.2574641692379755,1.0970624672737757,1.0742541866005075,1.0841353656492105,0.9873377154361174,1.149916411317538,0.9675380761476312,0.9776686090963322,0.9945280628180061,0.9164643965421762,1.1619846488958403,0.9679315021897883,1.0150404708486205,1.0574800153542419,1.4636132999036195,1.1603427844093601,2.255418331754261,2.548498999219307,3.4206288572970895],[1.2783336835602959,1.123369276383985,1.6239536615526655,0.8824495029166498,1.0706365732162004,1.0921889301303174,0.9471708277358305,0.9928628436817071,0.9119142277808907,0.7834630286446683,0.7504851161749783,0.8261584361086897,0.7861011505419939,0.6768628951573712,0.7480216452434633,0.7442632075285651,0.7365152136467302,0.7720279262327436,0.9142495748045788,0.8304143228440984,1.0039988214007198,1.0200159198930023,1.265513463293839,1.408955640120954,1.1670316569843229,1.013091984810551,0.8224560056423645,0.7653754237612403,0.7646156210843154,0.7365396603384914,0.7683718083001649,0.7733959176111656,0.7951624421393418,0.7584085288641114,0.7726253539443568,0.7824722908151296,0.7730935315740962,0.7289374473755305,0.7423755988139626,0.7893947482832379,0.7937944665436988,0.8341501041779379,0.8826321575326505,0.9447234793573829,1.2931591070011785,1.5276682340705232,1.704948078116609,1.0131571839790652,1.018415183142975,1.641098857237562,1.3177591660209407,1.638123799374631,1.1664102090182475,1.206984689586135,1.5955370114583263,1.178604830592545,1.0212386089375105,1.2677477593824256,1.0500278344929697,1.4546682041967314,1.1395399578931928,1.0309824222133943,0.9309867242624962,1.095861434687403,1.1665965027803429,0.9042379131983115,1.0104188023296539,0.8235358462490913,0.9534590808149025,0.9087881663234083,1.0707052779033057,1.401210495176609,0.9363100415291283,1.039282087340242,0.8981774815850461,1.0574691098135598,0.8067842816358923,0.796387614661718,0.8259567844859919,0.9083323546758103,0.7926169992242716,0.9895674440075981,0.9909522820161801,1.0018284348537085,0.7997614213817712,0.7720520553967919,0.7537807889832822,0.8521854321960413,0.7742009500381625,0.8264941578011732,0.774749647140012,0.9175646738369346,0.8360022260840727,0.7474398156686418,0.7477827123630625,0.7759395009808818,0.8831680985685418,0.7962028844217467,0.8071437432692985,0.9099104014488731,0.8630533313277646,0.9571710410452177,0.8462643652132577,0.9201527484345766,0.9920779250111166,0.9547934670986153,1.052065998269595,1.0883813568342176,1.0511775801883019,1.026398861355239,0.9996303172358891,0.9417084720390188,0.9075469099490802,0.7864358366432481,0.7550382451784226,0.7462212007324882,0.7736610818982802,0.7643802673633063,0.8471727831426817,0.7603793401717857,0.7648787025319383,0.7737169537585892,0.7695215333197484,0.6613920230513467,0.7695063746395194,0.8162998536139193,1.0379005096061573,1.0070953437821595,0.9734553721906288,0.9667124190662498,1.0336211448950645,1.0773432301929629,1.0638625672418656,1.007446725072715,0.9574672215101264,0.8884363653486546,0.9981900086765649,0.7542052819670484,0.6497649044213399,0.6836630969446255,0.7861698440640559,1.0335899916418583,0.7807248868283905,0.7068612839468109,0.7024121458673954,0.7008810176860107,0.7075099865139641,0.7548046193131515,0.8393537552789355,0.8885960865229049,0.9566623035484628,0.9591061986852218,1.157936955542845,1.245371616370491,1.0724992460670661,0.9413392294097112,0.8754281176939054,0.9092314135648687,0.8395934767615912,0.8900279895045698,0.8310500459573364,0.7505774530955985,0.7203017367618197,0.725717411915545,0.7591572014244287,0.8337074866147525,0.9317168222561719,1.1343537732044944,1.0932003081257313,0.8594183210928532,0.85099010148348,0.7585727698224116,0.7802992665277692,0.7955162050015406,0.7963012681486862,0.841030535340066,0.8141598899671434,0.8649617847525676,0.8049819425479591,0.8886660526217743,0.8640161306862342,0.9082582472620655,0.9208121333623508,1.0033843042948012,0.898341244157027,0.8484280815287206,0.7868565571591667,0.9696784577962277,1.3643327976897155,1.987754419444907,1.9494936648952053,1.9830967122950103,1.6296303272668715,1.7688848712561243,1.3437282510457491,1.3630131811759785,1.390694606131386,1.311515035709161,1.2363917765874928,1.1566168689433778,1.1763022490608235,1.0737775170758217,1.0492726976007447,1.094865360582864,1.1096412600177934,1.0660133176129412,1.211344433939654,1.238237189949878,1.1382721134243143,1.2968212796024452,1.40074261489163,1.3649173724422146,1.3639482021836316,1.566151432959036,1.7201214925279678,1.7949019238237702,1.4911662563175905,1.4561031782997214,1.3449626993713515,1.3359988043218605,1.4060596367665001,2.0972084503938904,1.7513072903725981,1.4651417306751995,1.3972297529500433,1.3605236003281407,1.3278771701832328,1.5243913945687229,1.4955163852942193,1.3686620783094081,1.4265175365091871,1.7152782210883304,1.5543848252030805,1.4451218427964982,1.7283253389611595,1.7423074411824755,1.5055668100750887,1.6996407439579373,1.3340503975998033,1.3587248979916604,1.4007069729769486,1.2402500782422747,1.2812800331943877,1.2757167430284957,1.2527755881433318,1.172933171113308,1.1869265244888145,1.0849447802338335,1.062865324886697,1.0585547763727265,1.0419106827166114,1.0691195653353842,1.1119782197723198,1.111987075018991,1.1493730485682545,1.3126549980408186,1.2524655671728666,1.2074892319504134,1.1895178850440864,1.2081030249470985,1.1997724468139301,1.310365760500568,1.2580484608287898,1.2123145977740482,1.2721491077487916,1.3085740561033834,1.2693855764228343,1.2582867567383442,1.4279845671871907,1.438503976574166,1.3178692621144072,1.4230561252281657,1.512133166549301,1.5225536037038363,1.4189454548311529,1.3733552935854718,1.8400813748659226,1.885406772662688,1.5799382214315636,1.8035302517316205,1.5011257056633727,1.6938766753914185,2.2994776612235674,1.88952872248396,1.6434267553829627,1.3159640478282457,1.1269377577830932,1.1203436276072336,1.0800605710026563,1.021556018568527,1.2118914684175148,1.0195896423670383,1.0408836812340336,1.0457198531469967,1.011634082408748,1.2776235480113731,1.1051722783779119,1.104340685547926,1.1928867164241443,1.6717936445697898,1.2525533191980731,2.2091873571634255,2.533389624991351,3.2176437360413614],[1.251507830430933,0.938017296669942,1.4126969189715726,0.7483525497659845,0.951457187638025,0.9973484948776045,0.924253775374612,0.9757507440075781,0.9121895935548239,0.854225683201644,0.8253395843689856,0.9033563189312237,0.888751289498718,0.813985385915243,0.8875509200811115,0.8902477565727482,0.8756317529125475,0.8796825096784207,0.9581032258901586,0.9261606395051759,1.06404352839339,1.1010222554265274,1.304156370560409,1.3979835162739866,1.171320086494295,1.0435790452882754,0.9365989514409608,0.8805182476473886,0.8837561205410129,0.8844641261281044,0.8889806050183285,0.9078171193406369,0.9039226193331964,0.8956549958210488,0.9230838326677464,0.9164796766458498,0.9399202826191027,0.9281910712788638,0.9516262691486367,1.0418668900158154,1.0021676128625745,0.9753047022041026,1.0183139599572781,1.0529686011940524,1.3606742972957566,1.5324373943166565,1.818393725383917,1.172486493498296,1.1148167261724333,1.7256584253628806,1.4565053606484062,1.6949697464050055,1.3339058955531575,1.3100010868997432,1.675325297854854,1.308657108963931,1.1344740457502787,1.4210805412782825,1.1651532814521721,1.5373785862841178,1.1944835427920362,1.134913274798785,1.0596435806143016,1.2047118578766463,1.2587879217798315,1.0036525420585103,1.1004855999379493,0.934077390120703,1.0239602881595304,0.9901530650660476,1.1374212039950653,1.469098726709347,1.013604659667352,1.1245288430775229,0.9871646712203428,1.1626013957154349,0.900791306815306,0.9010969084770664,0.9404278389165104,1.0400970126724927,0.9889319922429519,1.1993769797174687,1.1694052215059705,1.280812998231823,1.0772475844394955,0.9953021996450236,0.949371235500414,1.041073737803481,0.9176218511540027,0.9507460282677461,0.8872118897796126,0.9905066929093765,0.9437145865717537,0.8716839098046392,0.8866214409197726,0.9145587750333686,1.047260244235694,0.9179609123388632,0.8882171030714177,0.9289577624721347,0.9669081623725144,1.0504686408126425,1.0191351804396862,1.0636197809992558,1.182112707933708,1.1294296763109017,1.2103898576869918,1.2480095539538674,1.1606847765259458,1.1199250422728306,1.0291568009730023,1.0269061481639417,0.9528038109619738,0.9064430608213684,0.881535697055381,0.8793310767194777,0.8939379980492105,0.8792549919748213,0.9544147528402748,0.8787994561012012,0.8884695070866655,0.9110168791125557,0.9022742959299102,0.7978447254834518,0.8406124516010182,0.9125325579949027,1.0471471023901524,1.0518669898106394,1.061225335060866,1.1274040622275194,1.1935212869897445,1.298279720710926,1.3296612089392819,1.2686799507613067,1.2149373778720491,1.0725913512525536,1.1372172071078082,0.9357326781147722,0.8252064453508181,0.8686402275300216,0.881614064431648,1.1029853680809896,0.9115386227228732,0.8765791918742126,0.8856814376441926,0.8989375653611953,0.8948742209647771,0.8956456702733654,0.9650904460051893,0.9642104999559991,0.9814141916476254,0.9859040793744831,1.1722329332622605,1.2851906507744344,1.1058836084231138,0.9523565882703129,0.9320265080878963,0.9844356247926649,0.9410060756429516,1.0146792654613452,1.023362825592747,0.9768318904397075,0.9557408392588903,0.9880882331042075,1.0382872329611594,1.0416462510666804,1.2794980970357959,1.4624311821035285,1.3594830677765573,1.1245646206371585,1.1378376197558968,1.0170849079950124,1.0639665479427611,1.0620788012616158,1.0438341757394343,1.0586321403168182,1.0017879350146712,1.078512168177832,1.0681279673794106,1.146902502243,1.1316003440452094,1.1461570369395482,1.2515122023666623,1.3791983826521477,1.2387885634331026,1.1605010083627796,1.0516866613626679,1.2308985875805345,1.5300326878538597,2.3419890274775526,2.2067285796852163,2.603235620661025,2.0774493797593596,2.076734227696935,1.6495193332758378,1.6038560775415767,1.628150412386831,1.5167619156911005,1.3429282900125856,1.2725829864515754,1.2646015634243835,1.1355383943619164,1.0720172222038082,1.0595538007786136,1.0785701137360526,0.9958690183003268,1.038725668010895,1.0594719038612652,1.003187421446437,1.1233007506533097,1.189392043306272,1.155768272995932,1.191781691935545,1.394865962008469,1.5287780194035328,1.578243790275496,1.249279881773777,1.2193134560691237,1.1370799918431151,1.151454792764693,1.3151695200659579,2.0488822141789087,1.6896976311578775,1.486735396385942,1.4629085420398036,1.496677194612161,1.4908380232294802,1.7354142737076794,1.6784693940098239,1.4928980471355022,1.6267319147922008,1.9508194580764748,1.722956090841916,1.6235145358871077,1.9943293687088037,1.9830895754872047,1.6566222880706996,1.8485410104794229,1.426578282188187,1.5764000585477584,1.6119343587072594,1.4085274226705347,1.4499320547212622,1.4320895978144863,1.4019635368658265,1.2993132000372365,1.2716267395507306,1.1692233186243155,1.134712184116901,1.0574016452959945,1.022614020080247,1.0253855228372104,1.0176762752813309,1.0240200466363738,1.0343831257155407,1.1895725550614715,1.0849323851311257,1.0590612847792005,1.0610136649781352,1.1142177686141028,1.1620414275368907,1.3291990274651748,1.1818456532952761,1.113896267465499,1.2898436561378943,1.2825937289355447,1.184523902810182,1.2202599227744522,1.4754135144437182,1.400023095886911,1.229128012090394,1.4353974149933577,1.6266588572883385,1.5158385729528563,1.3417188695718363,1.1871557901665992,1.7387919154328793,1.6499374537344107,1.368510794679284,1.553835287449069,1.237444895362277,1.4817725421717851,2.05927086462653,1.600075229532185,1.35630823589421,1.06905235236072,1.0736479758786224,1.0150170773124052,1.1113127345727505,1.0115854634838826,1.102415287228067,0.9983115203713309,1.0059698483817996,1.032801900018035,0.9128993514992227,1.1362152368975509,0.9513876423110464,1.0102156594678557,1.0220048597429816,1.4867873796700264,1.0887080742383515,2.0810068432992668,2.357122002618576,3.113084940420279],[1.3805347865753583,1.064451501831104,1.4519733854707113,0.700248802719459,0.8697610786067994,0.9730116409442093,0.8344847810138916,0.8838522414542163,0.8322274939834869,0.7224854395824729,0.705359990111364,0.7648211543943584,0.7470583454429036,0.6488016134345276,0.7196648927425021,0.7323478129403646,0.7218157503712214,0.7512231365140284,0.8678174933605449,0.8218106497750778,0.9559288378913551,1.0073246864884229,1.227673017679679,1.341930592111346,1.1464327821099722,0.9631912828983625,0.8352923576527068,0.7579398334157641,0.7548890723089154,0.7406362631401213,0.7564209461683749,0.7747951891209149,0.7935364726001082,0.7840223131484099,0.7924977170244514,0.8101080477981916,0.8074031582664416,0.7679952210713286,0.7960104715214138,0.8774293329944527,0.8774735057074489,0.8792826732519912,0.9474283918677977,1.0217096879423055,1.3489000348874771,1.5731443835125973,1.7832343672703073,1.105396285578172,1.0973012382401661,1.6707364394172655,1.3970661081896045,1.7016225595286285,1.2762902349287157,1.26431965042145,1.622545559893706,1.2323462449686746,1.0988967843404094,1.3002495711651867,1.1032774366921838,1.4801077596424295,1.1358813183812444,1.047891603333038,0.96112911362617,1.0616027817771858,1.1608679847738406,0.9109716265361381,0.9724638608760029,0.8026358716473392,0.8831110403327349,0.845265721570848,1.005283244760142,1.33790343954333,0.8748077547987081,0.9837276922277126,0.8475704455496218,1.0400720851695162,0.8178176371214089,0.8280756717515383,0.8698486381969615,0.9656426087363,0.8473738517088156,1.0387708399804614,1.0578405760570202,1.0621986594571071,0.8742221287848487,0.8296296209095017,0.8045372078199534,0.8916955974119937,0.8144236431655207,0.8546233204226172,0.7898258412428092,0.9079768393808804,0.8345607581299611,0.7373249382604073,0.7344558754044653,0.758374035502256,0.8631416783232544,0.7680222507256397,0.7655171166590277,0.8690330987661479,0.8295464093631917,0.9102156140159103,0.8214035989512872,0.8645608716946778,0.9739832851069364,0.8989248319497813,0.9761328083574904,1.0030499072158814,0.9477694429098241,0.9325857594500006,0.8825119871955109,0.8533822563564074,0.8079652840171402,0.7165386765308298,0.7170666941235921,0.7246735639466142,0.7594525492482473,0.7404578891304388,0.8192350673966163,0.7371637580829135,0.7183588250470625,0.738696654241466,0.7408205118806827,0.6234162783457026,0.69166235114648,0.7037187020852959,0.9290649235201135,0.8880140127630973,0.8558371710506756,0.8738831344324096,0.9474731862963613,1.0213199001031756,1.0170363526117452,0.980542955072553,0.9183568915405678,0.8290686423154529,0.8532914583143565,0.702282046484726,0.6339137057916553,0.686016071873555,0.7728859471599524,1.0246479624993774,0.7812503615772631,0.7332115002795809,0.7497527984612568,0.7267713715952027,0.7170642299029913,0.7330215591247287,0.7840353389077328,0.8107068866973414,0.867232188735522,0.8688843717015782,1.092264947578045,1.2489505988435703,1.0014395708677708,0.8732300820806165,0.8131321665532809,0.8313014045310874,0.8084361929768366,0.8363427727414139,0.8113885582385016,0.7827645491470004,0.7641488516074664,0.8063045698644483,0.8562268012400855,0.9401448566950479,1.0288902440549275,1.2458057828385443,1.111024597267164,0.9189769483367213,0.8597546581578243,0.7903648884705763,0.8439203774584599,0.8465195344029044,0.8407944581684909,0.8678221486142293,0.8309513536291722,0.9123590092560714,0.8671439453560718,0.9503063303689234,0.9218539896357412,0.9122374470093575,0.9516083480896563,1.062209625458865,0.9696481358725361,0.9523066181117306,0.8979774350807928,1.057690231607805,1.5161947552599324,1.9319554274057495,1.8091716706113603,2.1807324803170007,1.6209513410642995,1.6728684460542396,1.3101122762943747,1.4000813723543934,1.487002625723422,1.3549415868182781,1.1905361823096094,1.1120409122189585,1.1238887305511602,0.984496397373262,0.918484651693286,0.9346527884270301,0.9772942478042657,0.8838068948205037,0.955385877415761,1.0018098130406092,0.9464108582421041,1.0931351679653933,1.1907836953810733,1.1679438982115147,1.1927867101223462,1.4146152348863714,1.578656541752518,1.6117109534101868,1.3051311927259637,1.2678230488590914,1.136645926927597,1.1575225638680133,1.3747019638205646,2.1276679682195123,1.638807646289169,1.4350389917072806,1.393710675006823,1.3945630534636468,1.3665647389620712,1.6137096423906938,1.5915935478980248,1.3727093574890734,1.5097339677409503,1.8647286319422056,1.6374408510000882,1.5165873547269586,1.8639643316630894,1.9726160323973165,1.621877315286411,1.7571591927523933,1.3210183840695258,1.4277878566589095,1.4695259582597011,1.238515537431233,1.288057571080011,1.296384526974754,1.206700297371511,1.1323774391369614,1.1538987307082929,1.0428666067917882,1.002773686511122,0.9444736150603843,0.9159840709131397,0.9231641419048784,0.9408728402588227,0.9531123405500911,0.9861810884954392,1.143668640870096,1.0833249808701213,1.0553650470116422,1.0434476685751863,1.0779959307996578,1.0909048949488778,1.2484109308984446,1.1422119239753084,1.0590430363733458,1.2089677753785475,1.235580198791166,1.1492113090074647,1.151678389390656,1.4382299171115382,1.3963115763329863,1.1813391266937086,1.4130700589196794,1.6276277540855766,1.5042476834829297,1.3085191417474982,1.1511987377809076,1.7251555614162934,1.6769194988943934,1.4610911566481362,1.6558482714800657,1.2653995561682352,1.5103488884396705,2.1411389737011777,1.6935325513357813,1.479758459500511,1.0697821942621297,0.9535045625513532,0.8728100904142149,0.964103753371206,0.857341069615404,0.9499123319816547,0.8725250474523417,0.8852458785134586,0.9003795946160482,0.8403749056737538,1.0770131191916712,0.9428814163679318,0.9697124290536457,0.9930231279914086,1.5884004616542562,1.0771519677141759,1.8576410694277026,2.3373152752507247,2.799807158754808],[1.2592628705369593,0.8882833496807337,1.288846870183449,0.5214800451163769,0.6888358656301385,0.8258576501638611,0.6768206072386168,0.6991783137362874,0.6880428151206985,0.5698676247246901,0.5545409938322854,0.634353939532895,0.5872304778780685,0.5131580128982249,0.6013869153640338,0.5813690843575772,0.5982603469584805,0.6352447999703046,0.7763777024949013,0.706749571346188,0.8692565852682392,0.9247805153887506,1.1534656871258626,1.255248819263956,1.0485665436038056,0.8687009982351392,0.7056491904712638,0.6430697220890832,0.6204763691273274,0.5675905734735269,0.6361213273652303,0.5854733018543833,0.6101714818691587,0.6125895978349166,0.6182585082397815,0.6492103839237106,0.6278432819059785,0.6127940787319691,0.620093631954811,0.7180519236034292,0.7274763196394178,0.7569614241475259,0.817165973903676,0.8822670669769631,1.2642133212377782,1.4979205962841509,1.7507881296691523,1.0100911720699506,1.0112715619054489,1.6635579446171755,1.3300115590461705,1.6257121529291347,1.1486706463511849,1.2227700153111722,1.5907086489499112,1.1431690538163612,0.9503936178617098,1.2424480902267565,0.9868721516112365,1.4228926095981347,1.0394281434393877,0.9363135876291822,0.8323151550468973,1.0021441398869488,1.0650020441308479,0.8126911901155945,0.8950500463164899,0.7077425452956033,0.8401032423003952,0.8018951897054196,0.9739534871339809,1.33842811735635,0.8513134214784036,0.9546571107208562,0.7795628553790147,1.014358427138597,0.7014582599951491,0.6843894329291506,0.7215034198660308,0.8337726285332233,0.6726163582882787,0.9314226048860806,0.8869976057845365,0.890684692663674,0.6940886509025367,0.6430608207850215,0.6460009285452497,0.719254959030628,0.6708571361490798,0.7006461956707088,0.6604090263804325,0.8380745352334328,0.7306363760687762,0.6096387054232276,0.6021433829313643,0.6518704582927106,0.7254215189932548,0.6283502980839556,0.6075213596495812,0.6630953438154361,0.6371218272440746,0.7257521709425783,0.6404446050177587,0.6627775887113131,0.7547229602417834,0.694645036420769,0.7765681434021154,0.8090160248405118,0.7746956976587985,0.7469314106565647,0.683010655268961,0.6579760963643573,0.6223159729324184,0.565993056078437,0.5907244186004162,0.6305474474046683,0.6770097331018587,0.6546625216716802,0.7478916487019692,0.6492909370526379,0.6635955219606073,0.6744107946763226,0.6821041052062253,0.5148061801786832,0.548022417640509,0.5681004804864878,0.817199678444434,0.7000507769171408,0.6652021073365108,0.6703142541802444,0.8190899773971182,0.8772034421813251,0.839728645880988,0.7682413657334687,0.7212499067562346,0.620727590431117,0.6939002973107485,0.5759415009402229,0.5139810331046986,0.5549226874999612,0.6484054873716688,0.8996834017060346,0.6594798812005186,0.5815727225353856,0.5831871669427432,0.5532079534660767,0.5464235219040814,0.5539538930768368,0.5970431847507749,0.6381539781468363,0.6908797274647659,0.6890191363264556,0.9080685487913414,1.1513166280305909,0.8959245073382743,0.6734977703716604,0.6252675498134272,0.6172728228975454,0.6079605395798755,0.6434881068093189,0.6256974737855688,0.5673756657672153,0.5644219342416621,0.6052207641044396,0.6718861386478178,0.7285658587410909,0.8266490765951593,1.0964016873301667,0.9853216688403309,0.7355300486912422,0.6776820982991437,0.6101332111964982,0.6364150338776812,0.628503965356494,0.6170206744145044,0.638024474066451,0.6301909647404523,0.6723553109138665,0.6485039587846969,0.7111086567949868,0.7345321546360473,0.6896998255716973,0.7713507731407655,0.8876267946997888,0.7744713747830885,0.7860851523767183,0.7337400867745406,0.9561788087444762,1.33580972623905,1.9684292826212852,1.8359750057725577,2.0191602917704046,1.488832096867104,1.6076493314211842,1.1949680047045708,1.313163937033822,1.4595613882386107,1.3332476688444417,1.120368426477606,1.0681427712269955,0.9997376913242604,0.8355695625372224,0.7672808090436224,0.7675715603313538,0.7788137025615316,0.6957674875577751,0.7572733556407456,0.7846922355924116,0.7382266571758138,0.9557621241698462,1.0399062538557415,1.01953953496342,1.10061852400855,1.33988241418201,1.5075268503356851,1.5181734705105963,1.1581286828041795,1.0711935549714766,0.9200092068508511,0.9465596299484319,1.188957602123359,1.9419210292472617,1.4831553510846351,1.3171320193823017,1.2375594527191143,1.2313037333760013,1.201255907772592,1.4720920918856402,1.4417819795862379,1.2263369227726915,1.3909123447806733,1.758494648604604,1.5501169131043024,1.4255548907183224,1.8001333077722128,1.91840724882387,1.5645816123057628,1.7382888842814062,1.2326724440000467,1.3800813986488891,1.34754001046741,1.0922494574661008,1.1420880926463168,1.109292864180351,1.0691607258605862,0.985558882865965,0.9511405326893247,0.8417492584848952,0.8389048841971194,0.7321654726114806,0.7099909427627272,0.7546938776343138,0.7627779241715975,0.7396569436262241,0.8180979726802836,1.0340869041526133,0.9239758932063069,0.870998493402569,0.8358699510954178,0.8391492819507962,0.8546634346020536,1.0316608684013082,0.9210656781403389,0.8320881393728506,1.0144012467197396,1.0500685531978347,0.9520780241969908,0.9776316450632986,1.2951930675327643,1.2718264659293201,1.0227001327557597,1.3116668591527607,1.5328785852220073,1.4288157017469223,1.2148428762668098,0.9635458578448607,1.6041432010935615,1.4625409386595776,1.2492761755885073,1.461074447068364,1.0553493263194405,1.3814675402827472,1.9914794853057634,1.3988884461068924,1.0749452026472777,0.682221205459314,0.8701712183972332,0.6655660405268867,0.8590939567745599,0.6779003419924329,0.7981559288217822,0.6913315147150482,0.6844481730863413,0.7121963341721348,0.6393395915015813,0.9013548754119448,0.7207630569151803,0.8131257868176304,0.8216899842464991,1.4015578834057072,0.8657433686544013,1.7213587408483484,2.072733372008791,2.6033704519920513],[1.238955019379278,0.854121102335926,1.2811751117987746,0.525557198077375,0.7104483424808593,0.8298389608804205,0.6922691280587318,0.7198162327976463,0.6987233253249043,0.5908113066126612,0.5649353634790952,0.6502993269247365,0.6217777412661383,0.5392541858239185,0.6243906815763172,0.6043905212397699,0.6140958509973723,0.6465208567297085,0.7726999379805539,0.7258423436474448,0.8968882899966724,0.961048961991772,1.2059279645413676,1.289631368713722,1.0589471425212145,0.8818910031130948,0.7370011013119182,0.65378249794938,0.6396975678873623,0.5951541978157044,0.6541342381071069,0.6180937478779809,0.6368345963346669,0.6488125992836559,0.6542923119975361,0.683689391441997,0.6693432635724492,0.676664591023178,0.6785336212378583,0.7965838776673788,0.7843810938713026,0.8074988303150257,0.862409341289143,0.9182087169043529,1.2762808030450077,1.4886982112603424,1.8191998761246009,1.087442023491434,1.05556875285786,1.7178090302952542,1.4296871785164826,1.658703808569363,1.2656635467962598,1.2386930966566747,1.5606840830522168,1.20603554121549,0.9902002870555542,1.2946790771260406,1.0298372221951666,1.47864582949355,1.068291729371164,0.9783586001171797,0.8758673469379853,1.0681133623351213,1.1079665000835432,0.8239059201204657,0.9438020358215742,0.7399381181966297,0.8578400802918423,0.802415557744754,0.98745584169491,1.3673406564859147,0.8676906706292453,1.0105990879327502,0.8042108701249242,1.0156264532083055,0.721678577785552,0.7009091310746056,0.7478675727041663,0.8733665916266636,0.7255625057779176,0.9733874971186336,0.9347703473823781,0.9910228223433261,0.7685042389306382,0.707834020555261,0.6994091841483204,0.7727494231286165,0.698251544514382,0.7169227359640137,0.6857312738685915,0.843945408857332,0.7479139625196555,0.6384409314787566,0.6250544608497134,0.6836153255465628,0.7510804490127541,0.6465652445980766,0.6294533970462466,0.6696542826744272,0.6633749804058285,0.7371648089341745,0.6825274237912048,0.6986103225970801,0.8202224650053921,0.7470399238551482,0.8347091948678607,0.8773229840282869,0.822254155080566,0.781037377801641,0.7108739319746096,0.6968893408587358,0.6506832259817467,0.5869556031498264,0.6132453868622814,0.6394645041508522,0.6708909207675382,0.6651627260386825,0.757426959856758,0.6648526098470204,0.6927555667180814,0.6964227581279707,0.7026577588599623,0.5510474481826964,0.5860785646385681,0.6109669094830469,0.8151928544227727,0.7349173262542744,0.7009566569266751,0.7350038438865115,0.8602238926900011,0.9315276083849943,0.9338743271854303,0.8639191777192807,0.8137393532319611,0.6916545043044877,0.7786858728072178,0.6038576240178555,0.5389313707787298,0.585555693573551,0.6655167026318929,0.9076938611375488,0.6873758683705913,0.6147813650947673,0.6333824718580808,0.6014940986254019,0.5886391085882182,0.589958600162387,0.6283267372048912,0.6686640533060901,0.7056478665461473,0.7078689861140387,0.9080197961980331,1.160051293979934,0.9324947813418915,0.687085054398054,0.6520691023210392,0.6497744501906522,0.6390459738447418,0.6851805433694954,0.671053566631696,0.6349108715368361,0.6310276507316821,0.6694287556430306,0.7437081866856529,0.7877693666011024,0.9524941982650373,1.2020541149811432,1.0547237741873134,0.7961125428147285,0.7713194602417772,0.6703012494412723,0.7080438494854552,0.7050576307197375,0.6912751972671584,0.7072074037052672,0.6712571245729255,0.7348889112683391,0.7312554159766465,0.7996355684949928,0.8268859192871596,0.7664546892312216,0.8621878319764158,0.9880444783905696,0.8752156576747415,0.8682722480011429,0.7988539819626674,1.0601236826336113,1.366336611512339,2.128313382538894,1.9390577253318009,2.323049997748166,1.6977895550724724,1.7178026403460942,1.297606427874924,1.3686738878247033,1.481876716471898,1.3497619451639207,1.1431830130738319,1.0766803129584694,1.0360526281806035,0.8757959095071987,0.8043639126660334,0.8069050853865276,0.8236792368871504,0.7313054464469307,0.7876096884826677,0.8139565198906953,0.7690030610333278,0.9714691336486355,1.0491211280872823,1.0304736763243807,1.1123323680805852,1.3454234186247265,1.515559766078455,1.5238448649425813,1.1771381683604378,1.0963505213556222,0.9533163475730128,0.9844563880176506,1.2653849884742425,2.008206817806242,1.5584616180324131,1.3581805407807257,1.3046890327794756,1.3180140495872628,1.2757470322849525,1.5754555101646064,1.5382628041794366,1.2993266725087216,1.4604411410493312,1.847967832664447,1.6093978049592053,1.4785951824156092,1.873075060010023,1.9730476454144654,1.5973987999424135,1.7523848595621025,1.2622982400264637,1.413041949905216,1.41266575169646,1.1540326530796594,1.210700258279979,1.182513134407216,1.13511595512035,1.0413523879709516,1.009899662070172,0.8954721570589891,0.8799091717663607,0.772165465436151,0.7418869872519888,0.786234341468541,0.7860931400599227,0.7666791492981401,0.8341339438205114,1.0394087215177943,0.9364458406341545,0.8911350128013311,0.8634857398358761,0.8875330442309372,0.9180682494188921,1.1062209075692229,0.9711901275003885,0.8740644090042169,1.0768228850005686,1.1077414698111385,1.0023654925379282,1.027259881720361,1.3596322683975204,1.3233165056378098,1.0663470970486348,1.3524020867431112,1.604204200979565,1.4706274767387328,1.247613566615556,0.9938864632994935,1.6140528852238536,1.4418979793622027,1.2691476333798706,1.4452320759638329,1.0640393541078892,1.375816755783671,1.9554645050301185,1.375390967344999,1.07535141814794,0.72006643139038,0.8987960085230683,0.7012046445750459,0.8803160538814939,0.7172556538048813,0.8300545135354335,0.7183557720299119,0.7142622888065938,0.7469933334694308,0.655628825363838,0.9126349847981031,0.7194237654738753,0.8098809594538646,0.8069695898976684,1.3651961193650144,0.8326987373262194,1.7469766786367062,2.065502423081306,2.664706871847794],[1.231734230514296,0.861721067320354,1.2286772842427738,0.5179819358685481,0.6848348619792103,0.774075822219185,0.6381581147026127,0.6602650708905877,0.6432987195884393,0.5323404534608333,0.5161021647673417,0.5816404071697873,0.5656575336248307,0.4887098509426212,0.5754139351348287,0.5519670964660829,0.5682521677247564,0.5932128179645408,0.7190402747408664,0.6679374404199729,0.8258870285960485,0.8936048067463989,1.140511166041251,1.2167378300858307,0.9975043803761516,0.8111461338532613,0.6868522244260263,0.585450383439904,0.5708587115579951,0.53426680972601,0.5926332808597141,0.5617380711320182,0.5786818112523131,0.5933193811281816,0.5972411525366906,0.6201321304713914,0.6224027202517629,0.6411070353771953,0.6449445618281568,0.7489196031048808,0.7613930780144451,0.7536857521416318,0.8201956305851688,0.8966637166365271,1.243922277109871,1.4444561667616147,1.7898645562682278,1.0808273012029914,1.0633599327162575,1.7061098296962263,1.4605508954868938,1.6396877204262557,1.306964376074823,1.192965351755791,1.477765416359303,1.2158696982085229,0.9997554169000725,1.259766860257054,1.013385390248465,1.5111030249517257,1.036951755548327,0.9283488915298278,0.8096070260741116,1.0256782143820036,1.0485423475913258,0.7662078447976605,0.8890635065392298,0.682718892898453,0.8201855408402372,0.7760890587593582,0.95551275122183,1.3511909340520738,0.8490964900079753,0.995931023017662,0.7464269111202342,1.0103616015826735,0.6708690830850466,0.6475403342817171,0.6886251909952301,0.8303573668194315,0.6790932822791078,0.9042707371197625,0.900955650529966,0.9561589668370422,0.7504010555163089,0.6750015225683907,0.6584511724630989,0.7425288074934511,0.6349538098574432,0.6551343106740958,0.6181537266909192,0.8038854120605604,0.6897494269422558,0.5771112680051261,0.563468466614507,0.6404293915771905,0.7188911649189905,0.584535421363174,0.5721079051762556,0.6421703608653476,0.6176746591412227,0.6866297603984985,0.6493843240113567,0.6798775604824178,0.839386629301493,0.7450939223737296,0.8807484626495342,0.9244439150843442,0.8300115749181228,0.795197226907477,0.7158980643461438,0.6664354664574978,0.6069059431796122,0.5310682853555924,0.5546357060562644,0.5752211844240442,0.6080811851935833,0.6064529803653181,0.6996873870514352,0.6089725432272065,0.6498619249136377,0.6260526488965322,0.634593508471561,0.49852302850788727,0.5396277853295021,0.5609877115748542,0.760907707256631,0.7225623262876311,0.7054997366436218,0.7674228874812543,0.8444301255282239,0.9466981065735391,0.9776989695725629,0.901125048691648,0.8336570098091031,0.7050820668763678,0.76276518671733,0.589580588764854,0.5043329265792655,0.5507132564608453,0.6117712362952068,0.8633597632565223,0.6274531785614879,0.5546233958077108,0.5918397675583983,0.5512057967223076,0.541185383935348,0.5475834668111113,0.5762254803996589,0.6252863901404339,0.6892520849479297,0.6556729129320026,0.8679619120280132,1.1624376898936644,0.9162340731444654,0.6422794219014479,0.5990990034105362,0.6039481270435189,0.6005739429677716,0.6605456040520533,0.6504109583605512,0.6158923034201097,0.6073580165259139,0.6639944458644461,0.7510160048939143,0.7875390013688363,0.997781105319135,1.2622899253436373,1.1094758724244673,0.8230356214591146,0.7892444395734304,0.6547270774314605,0.7100905866680911,0.7013327146403223,0.6803120306196007,0.7016377836617301,0.6429422470404274,0.7351870764472396,0.7242904345448672,0.8021427637089165,0.8187746933615787,0.7818804993372523,0.8902331417466471,1.042975844800964,0.9236125484695088,0.9070638222293916,0.795861466638907,1.1048959265905973,1.4207869711260952,2.11714981684743,1.930739743864002,2.3965377097401963,1.7657423194042308,1.7688487153329573,1.3619170842628887,1.41369205497716,1.4256556438136445,1.3097489193934047,1.1059897104037288,1.0204921404608789,0.98792042335411,0.8404574273539523,0.7892513380981626,0.7993928394402096,0.8267643664710753,0.7654144082918604,0.8428796527926715,0.8753030684039037,0.8417746203035072,1.0576500930850046,1.1639867362614957,1.1735150745842662,1.2483606827005636,1.4772147654805199,1.6941228536554365,1.6660977334704317,1.3203137035033885,1.1875413708397498,1.0364205898490968,1.0797065642298507,1.5070692469649805,2.0181194281013384,1.6960757724326714,1.3577746960583235,1.3121460574271284,1.3492914730975811,1.2805499216743064,1.599423548420076,1.591746809951211,1.3076252480113468,1.4736704661612108,1.8959611824900702,1.6497115376665834,1.480014287622036,1.8484963062730853,2.0404896551326446,1.6218630702926837,1.6968057051712868,1.2431434442901061,1.3550434083945608,1.3799446990710882,1.1125960879549064,1.1768221440449205,1.1675115479050362,1.049888485508954,0.985722679849607,1.022504769714151,0.868390093370336,0.8326315198716174,0.782728936970353,0.7830932242265798,0.865968438881557,0.8784126420379208,0.8594062052583875,0.9460569697783497,1.159908241569726,1.0504776046009594,0.9998041084268197,0.9614345018698778,0.927352834569654,0.9415031030575731,1.1226616338262054,1.0005488308067085,0.9053821673352851,1.082338671247457,1.1302050911846167,1.0421643854349472,1.0284842243948324,1.4042331468715787,1.3904358795798213,1.0830980642664507,1.39532585936248,1.6589360558441422,1.5028175036377314,1.282226326150782,1.0231180360008107,1.5623955767904751,1.3742490676057928,1.3054670300915272,1.5236826657526292,1.143310142467234,1.4760421276375582,2.003606677428954,1.3978224363666711,1.0982086349862832,0.7767929711139927,0.8930488722262957,0.7545754406755378,0.8601823911824781,0.7058962445686183,0.8981403206652869,0.7463342109890151,0.7516162371781543,0.7895237891508914,0.7330081329383219,1.0085001774877203,0.8361137734166878,0.8550932948222453,0.8785109729049346,1.507741438712537,0.8623928995724117,1.5366577058126607,2.015398734009756,2.4636918701758703],[1.659414655841936,1.413209159435936,1.5987102320361033,1.5082583941003636,1.4659742697086173,1.6221078006591394,1.7213197740719817,1.693572090527958,1.8957613849059278,2.032189536410139,2.0987776515372345,1.9896529701172756,2.0559301991726646,2.227617526403276,2.273550666519619,2.1601321869212082,2.215939590619959,2.2867247372289516,2.441040389179581,2.2222901499299437,2.3010165163981933,2.1125042237739757,2.3317141843558673,2.3886844299911005,2.234581691992601,2.2935816507176328,2.1717486580427408,2.1368668788523735,2.1283910492480316,2.039926377960541,2.233372699957498,2.0157337885186295,2.0593868844801198,2.1113334379378337,2.038373803832328,2.110056952516796,1.9374013699196377,1.9949366367934733,1.970064236104093,1.825154772555474,1.9757661958688688,2.068040981098839,2.1072328961221607,2.1235697464444874,2.2284489821564892,2.219062111393238,2.361627325106935,2.0886851255987335,1.9681347651204015,2.150142512291601,2.1037066930547557,2.1736198392339534,2.2069287803961126,1.7355381839916808,1.8499913451753995,2.317190447270481,2.268735533012888,2.269577890697856,2.2557771963766515,2.7715589831694123,2.286570486076995,2.15903360232319,2.1424125402937655,2.2109604156637195,2.138949101827931,2.1838563357553795,2.425773493843254,2.3165260767576545,2.5372736706549097,2.497290095392862,2.718232740805247,3.004195788570585,2.635824081287099,2.686145841689122,2.3869397415173808,2.5007234198480237,2.257545918870707,2.2035603558293313,2.0859881253829684,2.120973158464825,1.9557684815167686,1.8540490829395408,1.8563201086796097,1.8049011087145805,1.7851734948860727,1.838659925734125,1.9418975479685234,1.9724896192010837,2.083995763288445,2.0965541800186576,2.233594265410607,2.310868633624932,2.3248942922220355,2.244716098781552,2.2424146074304194,2.3449512088031526,2.3545983404867785,2.104254263887326,2.0015013557543964,1.85862085539282,1.8583596127761142,1.649127280241577,1.7805768122043182,1.5373892587216647,1.5130022207103877,1.4045529547614437,1.3790109228033338,1.3270920916154705,1.2714669772876248,1.3512486442361915,1.3976933188435932,1.549242548205768,1.6959704313925192,1.7732081835451057,2.012451356283349,2.0759042406663344,2.15382139794032,2.2958091281195263,2.459086266962401,2.3258034496017115,2.432823034105627,2.294290130533571,2.2716450572728224,2.1243907458265623,1.9692821140253731,1.7968469345832692,1.5801134305833766,1.539387793245264,1.315748670539137,1.3762222298855344,1.2283227887218502,1.2557475820223536,1.3312469527290518,1.3733481377406198,1.392738434901084,1.4974673524450766,1.394245492846584,1.638545504779077,1.8946584137423361,1.92589833924953,2.1975373279188393,2.2397920466969836,2.1780936732775005,2.056622572252252,2.0021716949948245,1.9959982056141534,1.977644861263098,1.9062194313613294,1.7442999032323798,1.7825394048162193,1.6337151528316778,1.6898331803743976,1.6280538960738682,1.8162902055678323,1.8762177813065786,1.7309322322090586,1.8123743457320816,1.6446628178593152,1.840935021687998,1.6431153769787301,1.6890080733021937,1.8521818685301734,1.8601022729872667,1.8249347321572953,1.708448838356602,1.8056001165074584,1.6631906580595612,1.8153297324019184,1.5734426101722112,1.6099282327310152,1.5121793701694948,1.6393555031983387,1.6059258146871436,1.6147804865282536,1.6727623671090326,1.643760132366344,1.8130402650279847,1.7304939119586178,1.717472773416402,1.6238257618929337,1.5931866979938305,1.4926609124802008,1.4262294613510942,1.4671714383781527,1.490295086409423,1.627664485473394,1.7406606963786913,1.9747169782591438,2.0104073275996837,2.524165926421701,2.244448578694866,2.8591133458545785,2.090439658782493,1.9885078193359318,1.584270624592277,1.6177538589714333,1.6576946963097623,1.5489544051867954,1.366321618267131,1.2910556632347974,1.2981592587514073,1.1498164792074386,1.1316198576456347,1.1057724673340772,1.1231683326864488,1.078762381699986,1.138894340560784,1.1334061650693148,1.1008668225590188,1.3163196477812853,1.3507113566972635,1.3260550420108674,1.457134708883832,1.674394779902175,1.7998722892433767,1.7631770857637985,1.4478395465166962,1.4305370166943456,1.2964929158131095,1.351025532713204,1.5532311452515324,2.715003054345847,1.9550920625973303,1.9124707552967113,1.7898207225889657,1.810144981641755,1.6736209792183065,2.024049024566657,2.0669613866632517,1.6820894683394767,1.8691461753311502,2.382090903102351,2.096233429337372,1.863119254163627,2.183280328714411,2.465041189699708,2.042694754362422,1.996619264458489,1.5479485909103587,1.64697930462947,1.7119309653179087,1.46019288516087,1.4902121221436326,1.508682924648346,1.3681470205586972,1.3118863641586742,1.2959043852232595,1.1878721980952345,1.1686069689193597,1.1021094333477124,1.0920512926156247,1.17358722604497,1.1645546303373167,1.1228171583186257,1.182902077522469,1.3739002445537416,1.247308922785485,1.225763175380433,1.2210968132531406,1.244361955100323,1.2224017436457553,1.4616540999502377,1.3773851681627411,1.2088201789474924,1.4174704019552629,1.549872171565854,1.4076022567669526,1.4052463635583827,1.845580470953247,1.8321359880906307,1.4675072295149652,1.7355847534617252,2.078912655975353,1.9845069708372631,1.6577730843367402,1.298186064608223,1.9001931961623775,1.6534677747022324,1.5776385050636492,1.684370668041672,1.3332264420595468,1.6917166989049828,2.1911123815913207,1.6099210722382538,1.3407614365951237,1.0613822142785734,1.106723926097468,1.1175403751698199,1.1777866684418046,1.281070688921291,1.3630765111084024,1.2390969691497224,1.1701312537437125,1.3828875022344955,1.3959314317464029,1.4138602065363144,1.358681753258681,1.6337939239541615,1.528702662660625,1.8365321505956416,1.4062233384501164,1.7512357191687802,2.3228955257546557,2.5656343109438584],[1.4066355605594618,1.1296427208551543,1.3886233730250344,0.8715327499743397,0.92414952786611,0.9372794730445655,0.8518701402669544,0.863425005308156,0.8537158643583321,0.7808323662271447,0.760094322111578,0.8283655077245904,0.8189003673646508,0.7564471540874401,0.816137703389645,0.8063241428333807,0.8193631480565168,0.8543224960729626,0.9532568306839154,0.9189852214683275,1.0384635466703238,1.1354072770044112,1.3133539740369204,1.3585550213041333,1.2013140477199362,1.0210171404528052,0.97163367452989,0.8620930276137213,0.855082843429457,0.8177499830987872,0.8682062316961031,0.8366357343854829,0.8435866408525386,0.8721594525769606,0.8813950568622408,0.8928227583853227,0.9161897475727909,0.9404482114603073,0.9611737460406378,1.0673323288941015,1.0846964710565505,1.08348958576759,1.127439368431831,1.135157786061447,1.4558683293239554,1.6260587081578954,1.9883599676725017,1.3403778419029329,1.3003005312683753,1.9183700169291813,1.6939905792535421,1.819694608026274,1.5072044493306866,1.544817653750684,1.716052861272131,1.32383326351404,1.16618610761086,1.5372831502629691,1.229532775963822,1.6006758400562597,1.2657736665122885,1.1934887302206934,1.095633624852031,1.2577089299773687,1.2962052113512723,1.036612338462117,1.0909675031931354,0.9178920721967107,1.018493855420832,1.0087234061514876,1.1390376998990388,1.4635511745598162,1.0576349661942002,1.2104789559400795,0.9339251750164842,1.1862582224377896,0.9499173505244908,0.9328937051703831,0.9755555290513482,1.1290921296664242,0.9409364900316028,1.1466592903220623,1.1211133234137096,1.2643279067319628,1.0624261402128037,1.0046348975785633,0.9678724908211062,0.9861273786092704,0.9280468621144466,0.9463556749357185,0.9017547603245888,1.0922409831200708,0.9839061316659254,0.8476632521838832,0.8337006985004306,0.9082709512903772,0.9486848653344823,0.8469082838971941,0.8304801283458015,0.8857475264313404,0.8406612901269027,0.9012959805475006,0.8777296719236761,0.9324666649638587,1.0714018834874277,0.9850007367989461,1.0879951964355907,1.1226213559485916,1.0407044758615884,1.0210385050174975,0.9275167064267359,0.883253575446946,0.8290228706003249,0.7923807672575324,0.8080362394970094,0.8253451831649231,0.8379155223553885,0.8466637968741295,0.9220240967783907,0.8455677983393564,0.8732687313914871,0.8496861833316479,0.8540607885599456,0.7701577998286061,0.7841038248762873,0.7993048312790697,0.9242979405803979,0.9628532327623852,0.9445031763607491,1.0146081098223663,1.0522162448382193,1.1607079061711942,1.2326631113514204,1.1654418149413448,1.1054694929779554,0.9948038846416671,1.0083282048212212,0.8585662051661913,0.8080051036529321,0.8656979941279496,0.9166177070264192,1.1636447035610264,0.9452020143831615,0.8919273465756838,0.9409164635070955,0.8834149223319878,0.8609826913451196,0.8267032145357074,0.8358323046919477,0.8579227619234568,0.9028605015552842,0.8779268497148244,1.00992472629093,1.3166261846744807,1.0905416760553326,0.8624535284128582,0.8382316245870669,0.8279498901531472,0.8450227006156522,0.8765775366747217,0.9098368427890206,0.9200163610517587,0.9398241392613759,1.0008895874903494,1.073846702885375,1.1259741426617023,1.311215219218939,1.546571833529859,1.379450263893822,1.1216581870761806,1.09194820856226,0.9661001287542229,1.0233891199804381,1.0075504937449082,0.986443865063471,0.9835418169881648,0.8971771722956305,1.0278281038501336,1.0631752276020396,1.1040006857707754,1.1431339289315892,1.0482003535044164,1.16338416452568,1.3270757195469913,1.2108819410335616,1.1981615959695684,1.0923987819944543,1.3201945522572915,1.5963139020541468,2.365290068230981,2.157381291134625,2.610399312475704,2.00865234745496,1.8790241057052808,1.528398827282179,1.5953469914830674,1.5393982202479082,1.4357670422498303,1.2323624021466288,1.1497255536689432,1.1247514454404206,0.9947161987691666,0.9669506102233375,0.9758503792983741,0.9967835417641183,0.9898131720937052,1.0745590743585138,1.0731985123155603,1.08297402699472,1.317618984600876,1.4076091668908355,1.4337930964925214,1.5307578851297494,1.7370716206321384,1.9664721235548477,1.8845732448840435,1.5800946727442757,1.3755346286057286,1.22419270825866,1.2811902163501292,1.6211030539552826,2.164787006767026,1.7349325409595735,1.4721705087248018,1.4187291747377122,1.4517017720715055,1.4017522396381799,1.6734221321724543,1.658326175785426,1.389116507624936,1.5841511524431624,1.9878599688202951,1.7291953161335132,1.5881039931382266,1.9278392234217383,2.1193844316852783,1.696686105997047,1.7735040862451354,1.3528876489308805,1.457604974374287,1.498564283807304,1.2418198470301243,1.295634205802577,1.3147603838321857,1.1759946015866913,1.1259689108739954,1.155409764347615,1.016464935138015,0.9798797837488034,0.963833632287301,0.995584399747885,1.1054056638586816,1.1221594896432314,1.0904604904124622,1.2049188655177256,1.4308707568114019,1.3128031147746657,1.2406903980173722,1.180136709256256,1.1002364328068581,1.07357743473271,1.217093558953414,1.1401497533495264,1.06274221111386,1.1856312199314083,1.2321645381917736,1.1628527808672227,1.1554840135822702,1.4854440024775486,1.4482281456252262,1.1840272635628917,1.4700608995173265,1.7051207520772351,1.5557963886200221,1.358353704098376,1.1740824703401633,1.5660762581020615,1.4493796963348589,1.446539939210283,1.6857453263550282,1.346067799921947,1.6862477585637745,2.131786235912003,1.548936842244868,1.2567264479581046,0.9894654089033115,1.0513252547529601,0.9918073045212834,1.0261466486125286,0.915073288785358,1.1501206999187437,0.957300415967693,0.9903296697248785,1.0000874512945066,0.9622346929156312,1.273780768568957,1.1178139533418696,1.0781007534287848,1.1650375982208026,1.7425945690458489,1.108948248645163,1.5417556440116147,2.139056075446624,2.4701992899883787],[1.3942597673819486,1.1675821876391101,1.5147338203499605,1.1365338191289873,1.3880443295568177,1.4954970987841134,1.4757494831525293,1.4921094685502205,1.4921152171588552,1.4924499379062746,1.4769734810852742,1.5442753940076603,1.5355241274527496,1.4787692035390605,1.5316076859400236,1.5471042985292884,1.5547416599339068,1.605509606385934,1.6533846065091837,1.6901181020420353,1.799858422320288,1.9302273907190342,2.0188307526430513,2.01210436462659,1.8919509235255099,1.7743115153804103,1.691871890686195,1.6607763255464851,1.6286055369134647,1.5695962624544377,1.6000065591049406,1.5757159276522628,1.5799634334383807,1.593717785443202,1.6253762002444858,1.638936771871092,1.6192295670330354,1.6513117594379914,1.6292204701502018,1.7127522092571927,1.6766737856995828,1.8006395826821342,1.7781691985315369,1.654426284638991,1.9527492007065357,2.0931725025323096,2.4352318125543313,1.8248842914258274,1.7755610465241398,2.360624074048027,2.0574959433677873,2.2010643991886982,1.7895618726478886,2.143366904616663,2.373809054550737,1.6361378218066216,1.5264423213002212,2.0823063399938393,1.6415685064969492,1.6219141383724003,1.7628690861982943,1.8801382133440627,1.8384795779742675,2.0092627220628256,2.034486928552377,1.7719144138111118,1.7947459643090529,1.6837851066309688,1.7050429773381648,1.6742638813890878,1.6704905185603705,1.8762936674106683,1.6592722294997764,1.7999071043628467,1.6798578558540627,1.813112867346947,1.6601564762433523,1.63246157603155,1.6717445448403572,1.7274886416368118,1.6051903355764556,1.8329733129155144,1.645161075616925,1.7826434913282525,1.6408528525020663,1.6534162367431964,1.6641514082697368,1.6228750567824695,1.6520417657662978,1.6515431989749676,1.619082644751605,1.8059338284678104,1.663324562582135,1.5795497552577782,1.5486501996666509,1.568889906833924,1.5591551997295745,1.5557827335348002,1.516921009069248,1.527753574880849,1.5453800348861275,1.5343831170321038,1.5020918714387423,1.4986773335371082,1.5111436495041186,1.4831205801534866,1.4384486615732177,1.4215806798703015,1.4407598861597855,1.509431603493357,1.4454479746283255,1.491864772455908,1.495214456189422,1.5053763353827536,1.558328399135997,1.6093811346313156,1.6507752354135885,1.6394042811425078,1.6772159665907391,1.63350683524514,1.597927988771214,1.6303242747726483,1.642461618428556,1.5258573790668786,1.4760509105920316,1.486978293467075,1.5636148310963474,1.528430315077794,1.4616947710904797,1.445936200194484,1.4939649672912456,1.5096493197610967,1.5113075141812835,1.4947852435901257,1.492696003544249,1.4838327801598807,1.472146106211926,1.4678725413709086,1.4965708995610623,1.5780068995019214,1.6651890482030312,1.8121443774142743,1.7036086627493634,1.6303833136845822,1.6261960097485693,1.5941535742010222,1.5683328920857766,1.5311766291781053,1.5204095602884093,1.5249033167669257,1.5123188826762008,1.5311543466067823,1.5954083009635274,1.9168902602661795,1.7368763771448805,1.521309905073593,1.5176664428589024,1.480022361320526,1.5024703606635565,1.4702132287366274,1.5134384553015887,1.5407332653814911,1.5585524892504077,1.5658566722346245,1.5564832038706178,1.6062015513108543,1.6473516121131475,1.7492969488166834,1.6459736095234736,1.5539314411077965,1.5406326368982006,1.5283343943141836,1.534241338841378,1.5319529936923115,1.544511623161606,1.5145071544700612,1.5381027528886582,1.5441672942028404,1.5850462748391547,1.5579717460464277,1.616353826239544,1.5051314904385726,1.5207611326532,1.590498042218318,1.5452014282195197,1.552888623309658,1.583617502509334,1.599378097997603,1.8262059788222784,2.6784163896854256,2.4597199289700735,2.628763174707661,2.112643340097506,1.9894732159876858,1.64912454268594,1.7277615489568077,1.8712982955877628,1.752936912963554,1.57553883853649,1.5888443382077753,1.470213400643301,1.3774364430805877,1.3640534583118575,1.3140213426496108,1.286877073876941,1.2643901428432887,1.2752664458881082,1.259963127663359,1.2566393159248477,1.417345933995483,1.415089191973892,1.4194679388361433,1.57019900412372,1.7260044299361454,1.8365765289996618,1.761768176691654,1.4892549154405463,1.3013901616993586,1.2503792146779804,1.2686033415046405,1.3142324575590294,2.4090912839677125,1.624557883357279,1.7062554437855446,1.5949881846254592,1.5808324031934777,1.574513846295402,1.784985148479842,1.7573368202258806,1.5380896990290445,1.7622734827552597,2.094129029800806,1.8799507542915839,1.777580383890022,2.0257043715151797,2.2013019830750085,1.9029030504752145,1.9995569364653027,1.6383076851044531,1.7650371876986757,1.7428456598417688,1.5150394983561293,1.564967641421764,1.553490316250407,1.5291419964288158,1.485087196458461,1.401842991276136,1.3438299506391096,1.3690336142074155,1.265161356765321,1.2597807212035872,1.3135012836817228,1.3068795329875678,1.2528699381643271,1.3605576459029567,1.5285091966552322,1.3929656783279551,1.3388714718464074,1.2886527892526016,1.2749366081745341,1.2538887581323594,1.3816559708195422,1.3140137264414822,1.2588487421053998,1.3691888252797262,1.3900345078867633,1.316857501143567,1.3785416650259141,1.6143884149480998,1.5824646425056237,1.3558164682700853,1.5985554450662807,1.7584163112557918,1.6733463112819282,1.4597071777860202,1.235578954011378,1.6113233610039932,1.3491779966445148,1.3499773314882653,1.5455043364500565,1.3266736070861205,1.6555416073846512,1.969467943774955,1.4565696205226892,1.2283375096906548,1.2117505339199464,1.3612293623916762,1.3083169313725767,1.4568546681657408,1.3806845772192582,1.4109118012448354,1.3524662030910133,1.320224572815003,1.2882864537843852,1.2492073307505525,1.4200321315944573,1.2697930947926797,1.2198337418078804,1.287502823179199,1.7206324626701506,1.3276477463076222,2.0555560501749226,2.2154822265742773,2.8178398723571703],[1.210094461361564,0.8501806698012442,1.0943217723175263,0.580902352432666,0.7544187452466041,0.869615973321394,0.7492694841887693,0.7581749880320277,0.7752342286534318,0.6950744674996147,0.6880692800556064,0.7530404312114741,0.6959764025350546,0.655076531386075,0.7103128437848318,0.6942662325679636,0.7164171390382799,0.738541610502497,0.8262546387008394,0.8075922799599777,0.9511690919143777,1.0569870058964999,1.2375224022573572,1.2481620717492483,1.0941342999310162,0.9295618130999831,0.8482398985333641,0.7654388650423218,0.7302217697555895,0.6921367564287326,0.7419874716618532,0.6915186647686182,0.7029921576486977,0.6914390224945923,0.7113870474861546,0.7435344687542206,0.6929088960607099,0.7667104066950291,0.7532151026343007,0.8909586696315696,0.8990702926150558,0.9394313228508213,0.989261286468254,1.0004962906275725,1.3657998296821596,1.5758713747480175,1.9232904550546894,1.2028543967366152,1.1970782855346234,1.856397592136197,1.5253351216375968,1.6715890744833817,1.375777259689019,1.350730480383279,1.6581336492466474,1.2267755632664208,0.996456240835609,1.4008132817093284,1.0614730376206087,1.5056762879344237,1.1027418759369492,1.042764951131228,0.9508382709228106,1.1740315856165413,1.1781697362031964,0.9181536518061681,1.0169829133178567,0.8295779361462979,0.9455415367077237,0.9079114352308633,1.0005541259883637,1.343521122076743,0.966686950961771,1.102675180845713,0.8435079113426178,1.1345071362602335,0.8207768654966987,0.7713107189593814,0.7908771234194124,0.8961717948657387,0.7720958162158109,1.0278579735264355,0.9304342807576196,0.967382811901521,0.8460709432799393,0.766664885318726,0.7776317706867139,0.8104876479486259,0.758369844982679,0.7534536666113169,0.7484229856833496,0.9828206983264869,0.8615325880271317,0.7454032897628649,0.7235554989447658,0.7985585947820946,0.8073426580485198,0.7330459098829348,0.709061349218945,0.7660462308727332,0.725387926826706,0.7585762864493214,0.7213534845218569,0.6988390771749315,0.791765638050918,0.751495282884607,0.8041911314146482,0.8169736179957374,0.819001386878906,0.8484752820310844,0.7598486841635201,0.7191407679305744,0.693179486722678,0.6848842186258112,0.7171280865717118,0.7382859620368407,0.7804359375297257,0.7666447147459828,0.8664393902259229,0.7686783712418204,0.7902871985467916,0.7969682287643791,0.7987760772519338,0.6986145328673534,0.691887608622626,0.6768319725092167,0.8868043983508366,0.7784664010248542,0.7642066685132405,0.7454409283118445,0.9171688922647729,0.9596019581128601,0.9210806155319083,0.837640165983735,0.8075046159187667,0.7363810479366911,0.7797488582827181,0.7093515962271871,0.6743927617474701,0.7024761933284325,0.7699610890357717,0.9571060694148043,0.7749037460866854,0.7215144845985598,0.7203181035477931,0.6990012686467862,0.6970019197764842,0.6969115265044803,0.6847883588499639,0.7060507223030709,0.7806239874094739,0.7824985715541016,0.951992930261031,1.3963197391595215,1.1094305481778501,0.7563877428956269,0.7066700704370757,0.6932121416849528,0.6840108521243172,0.69542597713182,0.722038768114504,0.6933507299532862,0.7044475340437696,0.7224598037673133,0.7889402256172832,0.8227394753693839,0.980068109903539,1.2507565074112863,1.117004440385348,0.8818295398249747,0.8219154072249895,0.7367706503741573,0.7516867861294875,0.7282051971662004,0.7213398547832697,0.7028371336312736,0.7254960307776053,0.7137404066666245,0.7640350501934033,0.7748554678586422,0.8365002813187299,0.7594548227010528,0.8665640924070438,0.9819036363324201,0.8859283499933738,0.8981925074596184,0.862333446797229,1.1090399158051985,1.4133591693639123,2.2997714348888105,2.1156909713321,2.224562925295429,1.656742249553609,1.6895315786337237,1.2519857554806701,1.3579539309808486,1.5008723940564122,1.4034933646357441,1.2055044653752751,1.1628322114065641,1.0700259393382088,0.8956009117828225,0.8510261920222423,0.8718954587709098,0.8544882563042466,0.8029916969035592,0.832075296650021,0.8723679787773602,0.8801783823924817,1.0746025186263106,1.1254615149191882,1.1817424696455057,1.321852358362021,1.487857636112896,1.6812426076103066,1.578790196645319,1.307150983132561,1.0902104179303869,0.985949869069929,1.0298927606690824,1.2840315937730769,2.0852279729229606,1.4762392724938607,1.4865472980528531,1.3570897220043447,1.310402077314555,1.2432043576026468,1.5135574243931478,1.5263998642985193,1.2752175743518996,1.4726266493601372,1.881461248689439,1.6916634565617392,1.5410922979739548,1.8372152985008359,2.0945484981768177,1.733326381552743,1.8010637249643764,1.3374754279824645,1.416248345460208,1.3786862668932145,1.1226031659091034,1.1522072936149204,1.120190796876063,1.0553956349988465,1.0060500562655097,0.9458541857594642,0.8447759653568238,0.8599500657104953,0.7933827599778256,0.8314312168527519,0.9248348308629613,0.9194446488031388,0.9090825342906768,1.053244842331423,1.2693176735578886,1.1192937748935596,1.0702702186937803,0.9857354557749944,0.9259290358737423,0.8939774445990487,1.0635594471702312,1.0107608037460347,0.9075168837938823,1.0629215021675749,1.149001531864723,1.0594618797876398,1.0825854645842794,1.4408062974850955,1.4712467826971087,1.1559378454830018,1.452053057011434,1.7004041112629191,1.6119277644745926,1.365528740283226,1.0311933258128803,1.5618137410089348,1.166584614165846,1.1914418945620022,1.2646831648911776,1.0034488268565662,1.3507983746372947,1.6626697970528987,1.0553561938605038,0.848561218285657,0.8994532591195761,1.0798765886674386,0.7911658034256853,0.983444231380124,0.741957807201536,0.8720277691657617,0.7513141721481338,0.7556866058372772,0.7287643185716547,0.6731252355915205,0.9527687579345477,0.7810058973855962,0.7811397977034393,0.838727301884561,1.4043806980951286,0.9089617004648627,1.5915890301685272,1.9365891371213686,2.373691370011524],[1.1967117207049485,0.7488496426404183,0.9266871018667358,0.4798710704538658,0.634662427712243,0.7517932102944206,0.6303480470448091,0.6432982820994989,0.6735320350777642,0.6008152895378822,0.6294147683865046,0.6572767758622892,0.6075987349305874,0.6120317501133085,0.6713554159272832,0.6437122977407422,0.6795908705192704,0.7065597573415081,0.8205724907679165,0.7769473195475225,0.8978504489584515,1.0099022253452266,1.1818876215595147,1.1912425319224644,1.058085618456948,0.8823853995058588,0.8364909920488353,0.7111467288990007,0.675284948832159,0.6258247735105653,0.6983074722314891,0.61245868565201,0.6383625948654521,0.6667213609110235,0.6539395364769662,0.700564723933136,0.6322064473679556,0.7519382930047824,0.7393447085984098,0.8775444963819387,0.9257800827121018,0.9548422216766584,1.0228770622067977,1.0392300930462761,1.4149703918088452,1.6040737144214643,1.9588125544702373,1.242773851452648,1.2428872547619445,1.8674138907427444,1.5379091906349465,1.6129027891983598,1.451241809543715,1.2307259388702125,1.5817433872822524,1.2711861691281496,1.0542108158591321,1.3905263892996271,1.1018436263875804,1.6291209187145168,1.1310572332196376,1.0084392526502353,0.9080268594375381,1.1411512444476162,1.1210462122201816,0.8899990527763252,0.9633450640915752,0.8187724941174834,0.9365601286458836,0.9202506563149302,1.013174338209083,1.3554227924938522,0.9946757892068255,1.1271980724865496,0.8388491855161457,1.181703564700165,0.8251291563009113,0.7791825422469554,0.7596080075593212,0.8472505396040049,0.7633556485513001,0.9754247007495348,0.9603392105237869,0.9095507316931264,0.8154958539192283,0.7239401599938143,0.754565636391151,0.7760941092091069,0.7224464957958466,0.7041800604251428,0.746747294592265,0.9457841028811917,0.84898310931163,0.7297111963472231,0.697281976137179,0.7686006285698092,0.7665059571021484,0.675705187481053,0.6513531417706862,0.7080994014581299,0.6392935043998956,0.649448294186892,0.6138338079846295,0.5841412208034089,0.6849932958642558,0.6409948589807435,0.7258970161898447,0.7361559653469686,0.7026814931682834,0.7245978425222119,0.6221933696650204,0.5907877863521042,0.5638461009014063,0.5812164667224479,0.611815486639331,0.6393218188389356,0.7036071722564387,0.7217401954995539,0.8630623888763366,0.7391806695256325,0.7706000645887597,0.7306291326202393,0.7035187784374963,0.608557446470222,0.5922395516122798,0.5756260121123689,0.7343694516484999,0.6561131635553983,0.6300943182826232,0.6459756941370425,0.8274506546363644,0.8671827566201225,0.8338452963646904,0.738264272963666,0.7237440645689156,0.6583276432185947,0.7037464735890323,0.6499206010297484,0.6276594796297481,0.6526463062400513,0.7584923539736539,0.9453589151136902,0.739688960955392,0.6732489535557068,0.6999188935632844,0.6499984189473423,0.6506526271827037,0.6228379564618736,0.5675561960316036,0.5978227706391027,0.6580470466098637,0.6739355753432559,0.8579255866407623,1.3806788448234606,1.0775336365511776,0.6624797668094398,0.6006331853236915,0.5741943959599677,0.5772093607738108,0.5718281592688587,0.6129890231353845,0.6367202740489474,0.6502946749899413,0.6874694298728905,0.7637380232488348,0.80491696483051,0.9610552564328979,1.2634266062528885,1.0996171403663704,0.8691400120278496,0.7685669283074041,0.6775680181905915,0.6906475119400849,0.6560963671758364,0.6415893241648624,0.6180684034226605,0.6338455315821143,0.6331045892771863,0.6817639000602038,0.6872362234562988,0.7712209121302117,0.6563205989384703,0.7890255242056512,0.9224256506666868,0.8307120366936966,0.8617873355541195,0.8439717172316468,1.1307138372591685,1.4350025823244867,2.3814551230091854,2.1847675864620535,2.2039166284033165,1.6382240965978119,1.6792194968249323,1.1994951072512683,1.2789449160690385,1.410640271412253,1.3283165633687497,1.130123904532156,1.0830242642113483,0.9430799406957097,0.767806011042695,0.7367039122845617,0.7541379563107882,0.7264977512114934,0.7024898029296952,0.7127401689655593,0.7507316709317114,0.7846942785708826,0.9907809737351104,1.0464048998048405,1.1357536155808166,1.2886888343142076,1.4180192254200323,1.6339921552615735,1.4974847397810758,1.2376720248498383,1.004993915896601,0.8933305754060741,0.9458352273909206,1.3100131251511344,1.9015988345571806,1.4316271573229162,1.376060828319768,1.237603889544422,1.2033055438132967,1.1170879069521427,1.4059504974608608,1.4374632069535833,1.1787053925451991,1.3724791871769753,1.8114612435580817,1.6330354977133086,1.459394084691225,1.761331065757406,2.044717120988316,1.6838623387231968,1.743003422078969,1.2543348723515853,1.3241569791997008,1.2634821103875207,0.9822766459037044,1.0288052024023142,0.9733126455560377,0.939656506530977,0.8786790651272832,0.816831407426867,0.7303165171538085,0.7577672559966352,0.67626695701026,0.7603661471124027,0.9132592971617423,0.8780725009815792,0.8508774936203203,1.0349046776636135,1.286869004828085,1.0730102768198295,1.0142036569464135,0.9015115709780991,0.8008381248895542,0.7731056203513157,0.9356745718524706,0.8858608528274636,0.7853078953864728,0.9483020750539994,1.0485651344488,0.9579577536276928,0.9817518980861871,1.3722266046914469,1.4328074400402409,1.1012755364373268,1.4223406877252684,1.6912774253061789,1.616927362696063,1.380081566247389,1.0308416471438377,1.5741566714921749,1.1198206496982113,1.136523848861596,1.1135913588623276,0.8804669478754752,1.2369945826536572,1.4660167914366495,0.889045165397093,0.7750754970999795,0.9434154585338834,1.0608002601834021,0.6915547785632469,0.8986347887808419,0.6229587696574087,0.7843632476396846,0.651971087943358,0.6542732623115628,0.7393431715110151,0.6439463661521971,0.8778004986675724,0.7441758545431778,0.8085519266262435,0.8090885629688622,1.3282291033078086,0.899147579016033,1.4086992365852264,1.9414308097099358,2.254595074566066],[1.187299674350089,0.7807156085719863,0.9155086791168133,0.5307117973072389,0.6067621164097176,0.6998136046008978,0.6290073059786153,0.6503595045525941,0.6650077759716919,0.629630550031364,0.6534755931996489,0.6901980956037617,0.6454073179559445,0.6556414139946679,0.7061229126701064,0.6807380155255405,0.7154451852678029,0.754270882680955,0.8653512424731759,0.8335854340191727,0.9120771958761411,1.0087429679676752,1.1399611608514673,1.1453356018176308,1.0449708799905117,0.9088071206612964,0.8953174233553179,0.7561101500059724,0.7291180120213899,0.6877197101025115,0.7369529251976006,0.6589217501326903,0.6706397762741879,0.730361851082172,0.7092721552649697,0.7534492112638629,0.7014853329502853,0.7942597401158983,0.8199556671038255,0.911893038489913,1.0041658278005485,0.981683391075065,1.0517733931734272,1.1126462268757655,1.466457145958386,1.6565504017511872,1.944520654923274,1.3001768421029802,1.3202755037257181,1.866531378727317,1.5398834428078167,1.5996231750756866,1.5619863351577559,1.181552515253564,1.5502412613526768,1.3962365504744965,1.1881539825385306,1.4251424474862733,1.2105311293420935,1.8023054098254212,1.2238005386947635,1.0386723297480465,0.9377778743289324,1.1505513329250197,1.1269538592544803,0.9398893420119049,1.0190441943046826,0.8585304420052134,0.9562467430930035,0.9314102935688515,1.0397633175347933,1.342343055675186,1.0110397409452394,1.1475081036521706,0.8573128499268732,1.1843084250498783,0.882556034211819,0.8329969770346726,0.8176949333558053,0.9323694470332498,0.817799931858328,0.9735838405785309,1.063529086259931,0.9314898154453729,0.8957015391048218,0.7878136957038312,0.8235338176321989,0.8485505400740239,0.794486275606955,0.7726370500641337,0.8096489463940683,0.9758242500329924,0.8771647312789554,0.7541756945238177,0.7305301516561055,0.7934149713237866,0.8072697565988011,0.684479096130053,0.6678832501699191,0.74605762607623,0.6630620166091384,0.684644106046316,0.6592354497079532,0.6175536827561894,0.7110390776645718,0.650238976243736,0.7374324261700512,0.7685726662852973,0.7163359938077857,0.7765470313558543,0.6515365311836233,0.6181959925702514,0.5944035382663453,0.6241079100108106,0.6477899892665517,0.6715613660619439,0.7342127307955847,0.7770947546906894,0.8957435885017901,0.7771885621170843,0.805455347439213,0.7287145432991782,0.705742705467867,0.6361380639816689,0.625621750164687,0.6237081451233929,0.7250146303017234,0.6541092312638377,0.6543621590902438,0.6857777599917789,0.8568618084149596,0.875589652656772,0.8651448702430571,0.7593658356630605,0.7729173366991277,0.7322258644717243,0.7860584043448007,0.7354650818801136,0.7012992685361644,0.7370903977568359,0.8530877525150615,1.013729010713519,0.8077574098056355,0.7423883013082816,0.7769276222814105,0.7146591701274969,0.7090464719955476,0.6733076228986423,0.6146723343528707,0.6275773041411867,0.6742647095938769,0.6772125599030967,0.8287265152693901,1.4313218246205504,1.1614299713330112,0.6885985400808481,0.6373853012821469,0.6143904960080295,0.618216626988649,0.6253113688301095,0.6621007680181075,0.7180299423014149,0.735207443938226,0.7786688599069145,0.8467589922854383,0.8991854841109367,1.041001689155362,1.3625217878821094,1.2235502132811438,0.9935516616436193,0.8568197651846429,0.7579294975705143,0.7608523137748449,0.7202024870337589,0.7017426873694882,0.6767521778419728,0.6789047168120095,0.6839006145211471,0.7502070203780989,0.7481386370669058,0.8142957276723072,0.6902466183941104,0.8390707295297926,0.9747324378355118,0.8904756011471692,0.9352847960535151,0.9203323436749699,1.2418678762742,1.5635431990905508,2.4980642114442815,2.336063196011665,2.1279961105577843,1.6571394292026296,1.7273583424349772,1.2245911746494111,1.251389519237059,1.3209033286941327,1.271455943072514,1.1102619739449622,1.0862838229948344,0.9223760778591292,0.7630950664063925,0.7552942490714456,0.7661962169315161,0.7262667013311848,0.7444726464910365,0.7310058845701772,0.7558715070945978,0.8306096813756965,1.0284598501138336,1.0661935538595873,1.1700166597322537,1.3350916571750635,1.418539218085865,1.6473570069900023,1.5082126223955166,1.2523295396530478,1.021265196257048,0.8976526618753525,0.9438951180336683,1.3090078191223886,1.702398606276939,1.3984050740605785,1.3131177214772893,1.176100132343081,1.109779610390513,1.0443172289834723,1.266535758566035,1.331405809065359,1.1194406639058057,1.2581406017082402,1.6765833286515,1.5460417666134538,1.3763623021757796,1.672752938563396,1.9654533535677392,1.6217206287998396,1.7135851994280678,1.2125288628489816,1.2500865749529686,1.1769386167932505,0.9206765477815096,0.9783902386700464,0.9280797368954912,0.9213456998467471,0.8594294635013225,0.7950953192958816,0.7486671219625427,0.7745965932714906,0.7268376673175941,0.8450985305637644,1.0261592724029405,0.9602793601070697,0.9290766503324996,1.1268670764594029,1.3831170819666356,1.1251945142635642,1.0635730023972352,0.9334157651564983,0.8062513380088427,0.7865037819770149,0.8765182228681277,0.8544921422757119,0.7802408725584342,0.9099019630145996,1.0024544196221254,0.9381160636044525,0.9596281318069295,1.315001299878935,1.3863200085840872,1.1125295522246912,1.4096345526579002,1.6656359688280493,1.6311846541607342,1.440832214279085,1.1116194677551035,1.656802744319678,1.2212285618834653,1.1605708471295466,1.073757309657549,0.8869447279468923,1.2270049207336784,1.3801198495357492,0.860695735571998,0.8664675705154605,1.135974667287987,1.1148161638498257,0.7517205198688324,0.9178794106874076,0.6554922466847763,0.8504051235221421,0.7077671039208355,0.7168359047627221,0.8879988147705886,0.7317759786568471,0.9414320701473192,0.8194438709368876,0.9247204386438876,0.8709298728428736,1.330152402005616,0.9683438165697897,1.4518819744875624,1.9609788408208555,2.259388975527083],[1.3003804208354648,0.9046642301539015,0.9836875716904852,0.6471706943828907,0.6962611246851678,0.7506507850987586,0.68838521061022,0.7066425044639447,0.7299435435847428,0.7118843084647406,0.7532885308427846,0.7800504096442449,0.7097022650570026,0.7758966732300091,0.8219167632942534,0.7709249807679704,0.7853073502537286,0.8353500614048279,0.9583224779335434,0.872830248532434,0.962044980268433,1.0117135821517227,1.181711258624688,1.175952708792963,1.0649000689720285,0.948735448652788,0.9034393296281095,0.7702093264199972,0.7623485480299292,0.7340798107902943,0.8242002501397526,0.7189777877070843,0.7392028626174906,0.7909356775634127,0.7468582586461573,0.7863916944797993,0.7024656583292482,0.7596080929583593,0.758663008748479,0.8236726023283399,0.9303964779550159,0.9460115727828702,1.0043551678604958,1.031893235933631,1.4172584556958727,1.5927993762097692,1.8948293301554937,1.1987790530494509,1.2051785050937585,1.7768937506231026,1.4333955335861415,1.521005630365301,1.4183438256504197,1.1141955629352596,1.5072909139781914,1.3329292869295248,1.1145161628465265,1.34024672721357,1.1544220407817973,1.759932750338065,1.2140964391710078,1.0524388399254274,0.9702237293770605,1.1778892959078178,1.144931248552797,0.9583490050433168,1.1028842611896108,0.9354523996739607,1.0578336503436265,1.0107674204667116,1.1209964666993528,1.4471008623016481,1.1156260881482745,1.2544147739025242,0.948159678494636,1.2750488611552784,0.9297291473403222,0.8863415539154849,0.8338740822367985,0.933588098581062,0.7752917705656132,0.9050983451789535,1.0078576321651236,0.8587544317369572,0.8068554313648979,0.7283495988747949,0.786379254542912,0.8213911239092532,0.8192293310664,0.8299265361894265,0.8793018947879945,1.0820171406588013,0.965847373671768,0.8525095150485122,0.8327728589238145,0.8985526161574358,0.9578702145916314,0.7669641037992929,0.7297799916038914,0.8010291895544585,0.7009752080650633,0.7197786618260048,0.6811584899300867,0.6123000533577279,0.6663519678303987,0.6542130891472102,0.7526932761830352,0.7585673980632458,0.7397416611296612,0.7991173126556123,0.6832890384615941,0.6127026343305646,0.6212167214597033,0.6279915494716396,0.6960890774987966,0.7112799956250749,0.7638880958650452,0.8122460255480749,0.9612597463396116,0.8889582621193238,0.9505643639847939,0.8518010920251251,0.8253775344181459,0.7008614644685719,0.6653663050950943,0.6174293662330235,0.7474181587854224,0.6190435316477455,0.6392401059058882,0.6374490999445671,0.8324685700733747,0.871747241106692,0.7982504817785387,0.702333409203765,0.693980644200516,0.6388938577552634,0.7095774201837401,0.6727724465424028,0.6293014187096596,0.6697288158474766,0.8186195614718745,0.9977804299185221,0.7946625906469075,0.700024533040012,0.7261722847718325,0.6812970347376655,0.6702499345074607,0.6650925503353248,0.6015528978718012,0.6522994804962894,0.6708712682583062,0.741162929660434,0.8839417091996538,1.4957328001434416,1.2033895131084322,0.7479388649213888,0.6903387883897919,0.6417199697236526,0.6494065356624371,0.6231416092729148,0.6229316049601322,0.6436603630122503,0.647060125674513,0.6958237682990362,0.7396174352252193,0.7858946897528742,0.9309404221388559,1.2603109849233438,1.1326525228955528,0.8894745948446002,0.7452001149243537,0.6617719492207855,0.6655214871436294,0.6313453851795512,0.6222337826640912,0.6171972970289955,0.6667192953883262,0.6435355906453798,0.6744425817355092,0.668690223865382,0.7098152100461067,0.6278938273179075,0.76041175185944,0.8842346669231791,0.7935273949284685,0.8316666800419041,0.805081345735908,1.0886954402314952,1.4096950577418623,2.3287463825052397,2.167495858173886,2.0471268442942305,1.5165282460852678,1.6228192374238382,1.158395921421863,1.2670870453154386,1.370217643629715,1.30683803373774,1.1529758354273765,1.1172138541925039,0.9871339590295658,0.8481424751274156,0.8375470149156655,0.8731915654258532,0.8505096499169986,0.854883160378484,0.8384542477654143,0.8902444216442619,0.9661535566131241,1.1279547501013345,1.17487343349889,1.3069322310187332,1.4577270647023521,1.5225146528169853,1.7799222266330421,1.6178254894486217,1.4269383515431575,1.19585156902275,1.0621137747389886,1.146245250255507,1.5070512858218872,1.8991176109648291,1.5373885494777235,1.4674986686494702,1.3122508591982815,1.2555627383722778,1.1443434502110825,1.3920268622699057,1.4708498697708807,1.2249356351763026,1.36694498127533,1.7745716819985402,1.6504409835925706,1.4776334971874776,1.7399999701272209,2.066277071994145,1.7138549954403572,1.7390544995541588,1.2783236601661332,1.3077154116976535,1.232363679745141,1.0012278685204374,1.0371134840986007,1.0247767263583776,0.9792643918867268,0.9288845896349318,0.901142704671867,0.8595558786182672,0.8723506471785759,0.845960976140381,0.9648769955955399,1.1209675473060505,1.0728069812214516,1.0726015408122558,1.2513441358873694,1.4895070834253814,1.2733453811091937,1.2361945173733888,1.1177540272163715,0.9884284525551398,0.9190027968248734,1.0209190630258012,1.0302123345215757,0.9404234361755408,1.0434859052170629,1.158851205246315,1.0948477033336357,1.080721700474863,1.4405680809855566,1.5429827718011153,1.2401481624540325,1.5119019689457969,1.8043048966525266,1.7726935527957624,1.5603024630438156,1.2534964110979656,1.7215429419308428,1.3145750632384996,1.3004783316797786,1.1840440866495603,1.0191654948770064,1.2879462861475797,1.3996974836380212,0.9747295498441497,1.013722343842218,1.1878845809567822,1.1850353785032943,0.8509592144388539,0.9734712479396876,0.697494478936071,0.9124543901361825,0.7808631735843182,0.8144408192023586,0.9630095789526147,0.822243192507062,1.029207584478607,0.9476942537218245,1.02148542200193,0.9432377978070281,1.43725090993256,1.0857482134640126,1.4459387756796533,2.1143518992754213,2.3811110347431788],[1.1810088282594773,0.7656096445059449,0.957337395409619,0.48209118595516476,0.6491898464296245,0.7302011717635427,0.5769712562214662,0.5980958128166971,0.6016119066407773,0.5200445256913006,0.5346344224538002,0.5641888030773881,0.5429933807129167,0.5238752529920749,0.578390875596312,0.5555299242251333,0.602837594435075,0.6265581547760694,0.7416768811382087,0.7057835286657739,0.8109312121127845,0.9026119951108524,1.0997454684321677,1.1105015424244982,0.9805878638285106,0.8046781543108629,0.7706865707343797,0.6596958134943385,0.6154739706230312,0.5569851525651531,0.611845959142293,0.5361444449632441,0.5470270675159447,0.5718016162736153,0.5615354172144733,0.6069742189287691,0.5653331374550051,0.6759219429459777,0.6807859219755842,0.8024696780689184,0.8733056322560888,0.8540570511087041,0.9323380848934341,1.0075136341919246,1.376095404456524,1.5909587867221064,1.909746021201814,1.2016365925690173,1.2198371163347383,1.8181567423637106,1.5055639473474272,1.6282403853682468,1.4161853629747783,1.182691257055916,1.5256073487539088,1.2605008431905054,1.0505201370334818,1.340203592405214,1.0826737098318588,1.6432776829760813,1.0847186051773807,0.9326171724122456,0.795179279833847,1.014016186805869,1.0098803289340252,0.8036695688838467,0.8994417528936485,0.7257951685580655,0.8530566712944152,0.8201840717038437,0.9550442754733164,1.3048088366848514,0.9151570045602777,1.0370748404464012,0.7423940519061635,1.0899434578651805,0.7351728105946789,0.6785903349387827,0.6725795686089844,0.780084773876652,0.7039493572745034,0.8844894658406955,0.9524519133756717,0.8658728061846223,0.7816218780910759,0.6646904394178961,0.671185491650047,0.7028084301177239,0.6410405704597795,0.6286686534758756,0.643777066150668,0.844941269881857,0.7403094559375983,0.6194383949068373,0.5948385262049523,0.6697564992294288,0.6981746204076053,0.5755006025245535,0.5656882279620739,0.6381537392485085,0.5643471381919747,0.6494844257310806,0.5988541639258992,0.5979525505157004,0.7240550728252031,0.6879504161502201,0.821983668193688,0.8372387798384808,0.7857803949860718,0.7586580870218202,0.6752848031081634,0.5893493870811528,0.5292968131055875,0.5515106654626205,0.5585289956315496,0.582095693323029,0.6463849990481365,0.6678087939175503,0.7994681987497156,0.6583583127412727,0.6980260888255995,0.6302269751670826,0.6159814751637226,0.5324679391799255,0.5304754973577134,0.5456661061033156,0.7207384743315708,0.6616732416164185,0.668049816225256,0.6977464737467558,0.8728566397516726,0.9253029854519204,0.8841279410766866,0.7904347005725887,0.757999157298431,0.6890388415744182,0.7477165310166681,0.6680862491765449,0.6128881768606783,0.6207701979020218,0.7074895335110205,0.9124589707230918,0.6879048339864183,0.6352413949172011,0.6623829701875343,0.600957939112724,0.5977813767070328,0.5830197523297976,0.5429285402855538,0.5681308997626607,0.6203871179898529,0.6240925807245186,0.7975676634976225,1.3461225408827666,1.0285879784217553,0.6057624154527272,0.5473452924840845,0.551672608874594,0.5624797393199912,0.6000239712150574,0.6220728713077267,0.6166201139869135,0.6255657912733932,0.6809773479689841,0.776704022602944,0.8274096318582562,0.9764952650472173,1.3068174704175841,1.1712653858631554,0.9180576373324206,0.7952296743451492,0.6898355966479857,0.6997515264494,0.6631687675526585,0.644263477101224,0.6376822001309937,0.6149813969657277,0.6422219748425462,0.6646115408815948,0.7046542515981274,0.7534208945339056,0.7025964124444269,0.8374345896302455,0.9721702417690545,0.8713234261415929,0.8938559789235169,0.8397053934298268,1.157116449425633,1.4591757095097881,2.263889570365819,2.0750330874714953,2.1442486801528298,1.547753475323456,1.6305180287110417,1.2265825495944906,1.3671165114578097,1.4466271187286817,1.358757388568166,1.1638334066097338,1.0970446829745246,1.0005900264330838,0.8363839546009099,0.799550405088392,0.8476435451506088,0.8389634446052795,0.8124858888873143,0.8313791318005864,0.8880507186749744,0.9333289220594798,1.1046899908797099,1.1790802972303425,1.287623093926464,1.4053702240464507,1.511195962384036,1.7759683771611594,1.6376712703917757,1.3920151568383372,1.173134183076531,1.0498354968594286,1.1187710778894893,1.48269379753067,2.005329492184918,1.5454974267743131,1.468600607576138,1.3373536451370656,1.295498806663001,1.2042756355950464,1.4709270537805572,1.5146095979074377,1.2509517639336787,1.414559170717193,1.8163624571451829,1.663395671721258,1.5049304246676252,1.7835276179618227,2.093348397464462,1.7125605481231947,1.7319894190360863,1.2908581175363285,1.355851277749009,1.2861068320865194,1.0446830508181935,1.076802960640915,1.059779016708912,0.9892545558062233,0.9440546048433415,0.9361764152809423,0.8480787392940639,0.8597037427020361,0.8134508131566857,0.8999570357212384,1.032478332040582,1.002364431790329,0.9997687604560411,1.161256504106607,1.3866418062006918,1.2199136122416143,1.1787430365310279,1.0759768076864824,0.9688085606256465,0.9121446289205483,1.0425241134256413,1.0354513949773683,0.9314104089929336,1.0598059039171683,1.171618235519858,1.0966761741969389,1.078965194999387,1.4615361194783625,1.5223306736196995,1.2023176327870522,1.5126973796613192,1.793259108402521,1.710415348539051,1.4942187694475886,1.1530348444851761,1.6319295824086815,1.2233108847098575,1.2702809784161369,1.2324711529057262,1.0169218924903085,1.3389421638997236,1.5534504318609144,1.0069493314196845,0.8949718366355076,1.0056725677691205,1.1032354798269073,0.7876089395245477,0.9428336761248842,0.6744242403707575,0.8704976904010372,0.7188397936883184,0.7484923910163119,0.8025618048123244,0.7273401344344573,0.9843798910150074,0.8662097837196345,0.8670785271723442,0.8675602228684096,1.451857987797617,0.8959753975510202,1.331073739873604,2.0513044841491532,2.3362127573870057],[1.2518657411544512,0.8030090928949545,0.955082765443009,0.46455937862718377,0.584714812750811,0.7074924603266726,0.5346530171607975,0.5595741546770915,0.5652748208282805,0.46214987456014023,0.4759699888771457,0.5316986162169054,0.4660580132937137,0.4464579115649568,0.5061746809132802,0.47729947829642966,0.5064075345211358,0.5249366887987817,0.6453688123670945,0.6157970678134868,0.748371947606723,0.8392990072243414,1.0571616605539143,1.0719959008472764,0.9303513341794318,0.7567869294042228,0.6726059957085566,0.5384586459819559,0.5078298044001877,0.4640781946059085,0.5184422492836934,0.45569764936338075,0.47356754234164655,0.5006726074478572,0.47310879170068926,0.5203540020728817,0.4615718978585148,0.5335227691932749,0.5447135914807775,0.6387015664978507,0.7367490827324212,0.7307021358908465,0.7782133030603765,0.8420826035487511,1.2633886734771664,1.4952879401738617,1.7575267406913393,1.0026994412578751,1.0426053216428905,1.6607021851852626,1.2658249480265877,1.4761766415766542,1.1826138746177854,1.0411973842368576,1.4351124111182871,1.1446801037389684,0.9336394539676883,1.1975940218754704,0.9526241392837204,1.5791393905019493,0.9951461721709912,0.8375776987193028,0.7109142240454404,0.9322909376230225,0.9494068448892347,0.7247966504677567,0.8760413591632036,0.6264483114702184,0.7737867571256034,0.730537514363889,0.8751520607187686,1.2322266663592811,0.8272349109522993,0.977311437962679,0.6713837616617797,1.019730400640827,0.6287742292117801,0.5793243091200597,0.5854689246538133,0.7101614734848196,0.5535065228604464,0.7747705691109934,0.9171266100740557,0.7246938974119077,0.6474361211493442,0.5323546713742737,0.5413196059964607,0.6101142715664551,0.5553992923290841,0.5646924503531987,0.5687527566884706,0.7787994039778703,0.6534333918824401,0.5203172421060398,0.5157310822977956,0.5890780102905241,0.6492276627952389,0.5115085918304264,0.5049282045927566,0.6008352592431342,0.5012258520295858,0.6027577314394054,0.5037008135714802,0.49889779393591616,0.6181033641970433,0.583246629094649,0.7250424250767961,0.7118924538254056,0.6766573020709736,0.7186890597006566,0.5967891101813915,0.4973174667698247,0.4512240656986136,0.44316817585596935,0.47559759952765523,0.5052433235596112,0.5504653458817977,0.5721955712818009,0.7043780195363402,0.5739186483289067,0.6303124222214422,0.5785023885845129,0.582287465080511,0.44623570251946243,0.4538672972515567,0.4328493224665653,0.6487171648225145,0.5496270293663837,0.5679600273277678,0.5657624362587541,0.7760133291467042,0.8224750287418229,0.7520179538373223,0.6497825818094789,0.626382248962899,0.5558586179320839,0.6204175770667835,0.5632181566565515,0.4638234871164016,0.4828869433119348,0.5974686564934074,0.8469598144694882,0.5772753276513124,0.502532123858519,0.5157994470385208,0.46574578046319776,0.460691957783792,0.46295567590312164,0.4414688333663402,0.4914225515101575,0.5583711940771693,0.5828414338075485,0.7767101895644114,1.3243991018765857,1.0029764379579302,0.5684504126892024,0.4975813826232959,0.4791440824916887,0.48111276078806214,0.5112994355091157,0.5146543973545987,0.4848516074092314,0.4981057394010529,0.5696920703606283,0.6430496350928224,0.7106685225152908,0.8662154993616741,1.2102861515578904,1.096133618955142,0.8405121363880415,0.6746482601150487,0.5721936700142358,0.5779103939522363,0.5350207528471146,0.518081225892029,0.5323651569871258,0.5168973245488476,0.5594412495074876,0.5552664931737289,0.5857886277508201,0.6318918505650336,0.572129706780835,0.7069232216995525,0.8448341005062254,0.7425200892900132,0.7548074806781008,0.6907520341534418,0.9632574639163551,1.3529130134961975,2.2229703058987225,2.1066703985068407,1.9159974732506597,1.4241794781140034,1.5730006020078215,1.1162956355867775,1.228111142485098,1.3234950493185045,1.2604610708829815,1.099251093363653,1.057664097684199,0.9163128535141495,0.7611257882506319,0.741717659180186,0.7660042241306273,0.7394371224842703,0.7340590738271544,0.7289836456451346,0.7626202399562914,0.8218096575756919,1.0123967972370485,1.0610955154937023,1.1576540752748465,1.3111006406336063,1.4232189435137055,1.6383152883950893,1.5064041014059204,1.2622112023854206,1.0232968879220845,0.9054257409354165,0.9634451690207103,1.332831280703765,1.7809847668574665,1.399314481119875,1.3620469129562789,1.2026017066822805,1.1374242008062565,1.0635604113294108,1.2989648741547932,1.353481159890046,1.1287936248011172,1.2883635302572216,1.6790415497556572,1.5572969685771407,1.3967180915083306,1.664177301626161,1.9554752351144078,1.6320236165133437,1.6907090946322654,1.2198534913155825,1.257700743116853,1.1765702319498947,0.9361228227534046,0.9890385815811712,0.9463586492169969,0.9017495677162921,0.8557847941770864,0.8045277880946338,0.7462998704397948,0.7717410475124782,0.7115053092289928,0.8090105051643209,0.9610409697056833,0.9186708965096166,0.8953181987159217,1.0785551525731631,1.3175705791499068,1.1078362936310049,1.0492885666140201,0.9284319185463169,0.8196292672675911,0.7880202463830097,0.9118814317150944,0.8797703176171676,0.7954625431232486,0.9358558576110582,1.0350789666214426,0.9676364332404378,0.9734188676742255,1.3292148540664017,1.4154036445041036,1.1166352445551906,1.415680429913762,1.6866809879310563,1.6604039109946989,1.4559718568364137,1.115498624604221,1.66404898937975,1.1862485119588784,1.1461939717465153,1.0918740511027205,0.887518746265412,1.231181821081074,1.4267566987866076,0.8682647510870388,0.8426332365041218,1.0808132578580383,1.1041685503918615,0.7303165814092671,0.9025577179817312,0.5976416587467712,0.8022422352252466,0.6685792287373996,0.6862321923329759,0.7849334466617738,0.6765776950304323,0.8969445569164144,0.7848727859473306,0.8288792884359817,0.8104336467862593,1.3747182699209897,0.8674564155608686,1.3718610690934219,2.0193730260439384,2.265401172971619],[1.2160780176832453,0.8157192111256245,0.9376118001455035,0.6064772900564107,0.69494808889169,0.7480038419598221,0.6732758900859871,0.6938494193059168,0.6950545475664801,0.6396575667926735,0.6472066129565465,0.6954303093704709,0.6501494504275687,0.6704311049775324,0.7126449997357727,0.6814751708471403,0.6961882788375727,0.7213124774158767,0.8130525206166449,0.7896400166123446,0.8873426607835379,0.9533298118675211,1.110812336487783,1.1185467553189121,1.0214580033219636,0.9009003581405397,0.8285175010530297,0.7181198761674424,0.7005685540404665,0.6860915769377987,0.7209717529510662,0.6611934483703639,0.6724160636402748,0.7284636581653964,0.6879691529510182,0.7177235105068851,0.6759830090001032,0.7150709197839386,0.7314488089440063,0.7660460340009275,0.886155965744745,0.8695321934868546,0.9109732116666659,0.9736462370377409,1.3725061450084266,1.578168165220834,1.8148211171078066,1.1103580267067943,1.1321848487426376,1.7112610382264688,1.3081897964553624,1.5077269191115912,1.2778510722313354,1.1109404966160301,1.4684057135813067,1.2699488806022388,1.0826468223545562,1.3155093491813843,1.0926596135394548,1.6922996781443176,1.1482404111690694,0.985874496590223,0.8674604261041402,1.0691885948649464,1.068834957993486,0.8878466517817521,1.0281857520679698,0.8126271440466156,0.9400502257163501,0.8745311067764878,1.0109011876361438,1.3264318940670508,0.9713623766643954,1.159267824943339,0.8465165254026629,1.17602672801653,0.814181015812295,0.7796342294828139,0.7736307016939925,0.8879121690566525,0.7232507841625581,0.8938860438840021,1.1176702043523647,0.8485130626528318,0.7945501836568387,0.7221579046305463,0.7447332184634612,0.7946707565705038,0.7486633651580269,0.7746912559918195,0.7791579857387064,0.9733680435036804,0.85427835981355,0.7309541178802413,0.7182106116364073,0.7873740621590888,0.8134988427954248,0.6885345879257785,0.6840441781137827,0.7826180622257936,0.6848587184328492,0.75158691419367,0.6986807197455421,0.6704207601135641,0.7669925414762813,0.7500589843419593,0.8769456812617722,0.8397170703148003,0.8292649015165175,0.8745243090596987,0.7843700843477872,0.7060286868747789,0.6468707555576988,0.6545768535648023,0.6671136998966787,0.7075486637435225,0.7336562356596387,0.7598161615948981,0.8534136937422615,0.7814538021959594,0.8274738287223522,0.7691250866964949,0.771578154811443,0.6458290261439057,0.611350249559692,0.6470015850009052,0.751191196148383,0.7112707732460567,0.7451559837319891,0.7357653432933189,0.9098495551758584,0.9538128283971861,0.8781315152073651,0.7879554714884551,0.7755379696980111,0.7190920317305273,0.7624238596118562,0.7611044056602658,0.6628326418494189,0.6907569622828011,0.7853127376367323,0.9865322833184625,0.7654835813381887,0.7007962037558016,0.7037357802740347,0.6785966981257228,0.6767910011413344,0.6665493308039689,0.6465167345523526,0.6672214240547858,0.7259996158526589,0.7377653379509023,0.9100943837882789,1.417901633753928,1.136431505613983,0.7513918554392295,0.697391263246323,0.6823269080024585,0.6933038792955185,0.7019161137183411,0.713091730099787,0.6855350851100452,0.7075655790962443,0.7546793684786122,0.7872676088459711,0.8510973833779856,0.9601530665514716,1.2718074012894653,1.189274600802747,0.9689267382612843,0.8218308046054351,0.7591004486538586,0.7538833290568244,0.7169242280411204,0.7000547284192181,0.7283679221871574,0.7165575920464518,0.7523609524626809,0.7434834739289192,0.7473340193776074,0.7855703043865248,0.7312169373393818,0.8420542991133296,0.9483124155595356,0.853682803141524,0.8663878678880417,0.8113996599125985,1.058683962064419,1.433662408493749,2.2594348007703737,2.1603995169523613,1.8615623847429779,1.4226104334054595,1.6138063609018407,1.1962095153306167,1.3213029765237432,1.3845147695095028,1.3234454215873737,1.1870035485399297,1.1698354075837085,1.0127168350704663,0.8936536447650186,0.9008843696201602,0.9133515697828352,0.8811927059158097,0.9172880539765875,0.889649106252532,0.9191687891711756,0.9963216450891194,1.1572034973362113,1.188889797254072,1.3088529210184823,1.4680416827523803,1.51521883425024,1.7524058002062564,1.5937359168481289,1.3732122680043124,1.1471623654163672,1.0361854712175416,1.1011730223427705,1.4517884005094626,1.74853713901023,1.478281835264372,1.4138858633055182,1.2593762060115095,1.203372221822805,1.1448523325656195,1.337657922421994,1.4248354877536455,1.20337366330408,1.347261767735521,1.6943688417604892,1.6151470302248077,1.4556234944241286,1.6916259706038026,2.018282041591305,1.6919170641658163,1.7401910688373365,1.3001754292133683,1.3173400660540602,1.2169792336499932,1.0079684793142467,1.049026104350365,1.045765038983323,1.0039424143830058,0.9533713291004131,0.9500670876794004,0.9118680489363602,0.9239858962577421,0.8941344048095275,1.020022912871856,1.1819641907723888,1.1184571148286586,1.0964198669162273,1.278223676514655,1.5116066866968314,1.2780640589509644,1.2287356968689789,1.114473215003817,0.9863022747357734,0.9431191713970515,1.0064892963875671,1.0125050048606485,0.9404509359848671,1.0317203578183878,1.1200585282922688,1.0791828033820954,1.0777437032789303,1.3991330415329697,1.490768262212335,1.2353535873872938,1.518468397756624,1.7610725222207964,1.7562484376373095,1.5797139486997114,1.284963967976422,1.7442222228922422,1.3446761782190086,1.2798412496513512,1.1546066361761496,1.0213897162294954,1.3089349179779195,1.384416010016923,1.012491201347355,1.1109063170546254,1.3273595106561114,1.2432984797646858,0.9420692673432974,1.0497622937062605,0.8173441949216284,1.0094303945340537,0.8698553716425118,0.8968417187478068,1.0647542027823687,0.9051766096843485,1.0931255455459368,0.9974808337745793,1.0617391578236666,0.9561121608349067,1.4483117913841548,1.0416961309720436,1.3553299569257222,2.0375847194807104,2.282395982052798],[1.2444024329803955,0.9185123033730466,1.0847862438796354,0.6668125934826389,0.7505098130083641,0.7917924492896554,0.6759103564231734,0.6964212789382983,0.7027752824965903,0.6155262225986954,0.6375479952480378,0.6790833743222862,0.6103710931725143,0.6388313314747981,0.6899963864172972,0.6348435140458942,0.6191904905840226,0.6336122308152454,0.7225927069833783,0.6795599805400522,0.7920654744770856,0.8789763632041364,1.05350891986291,1.0561373415821342,0.9439599444427503,0.7943775953775605,0.7192636947007484,0.6124252442546202,0.6038016731071087,0.5891639913997277,0.6422717690496181,0.5954652098541013,0.6106617794055637,0.6312464368600191,0.5911045846023991,0.6170163806931468,0.5856229398081076,0.6097304629098677,0.6018494992661062,0.6664453925146689,0.7551072302756687,0.7494281866013667,0.776001511659823,0.8560450980447507,1.2697623373753102,1.5001934269549366,1.767424375218917,1.0073852980840963,1.0519632573303144,1.6645360293937113,1.2684589050432793,1.522326616447575,1.1702094714626745,1.0892392480471151,1.471447856328046,1.149551320837072,0.9579800232860607,1.1616219200988356,0.9629996341254877,1.6024611711915877,1.0065679675959442,0.847761136454959,0.751471656574203,0.9741033301276648,0.9671937249414927,0.7526553740131656,0.9363231794188924,0.7066522952282552,0.8726942007918363,0.7982114344726737,0.9592104795065824,1.3056947965366295,0.90932512134224,1.0771612279064247,0.7509286659265614,1.1189287889100972,0.7017059884809931,0.6708755559173217,0.6639001558459448,0.7815161339034952,0.6056095903108661,0.7831489639390368,0.9921842398304143,0.77677881541142,0.7055289994648373,0.6214439794198022,0.6058242230997167,0.7027214478944003,0.6395851218896478,0.6741763390812161,0.67115933882592,0.8857191493531642,0.7798810163898909,0.6633855566544238,0.6600082456289516,0.7445710716530938,0.7815338292549024,0.654809772128029,0.6701645877666805,0.751304581400024,0.6474428139355521,0.7570980825856771,0.6779531138369905,0.6897983989015589,0.8076648596055772,0.7848239168353155,0.9423230239981645,0.9037417258602395,0.8927980356485098,0.9331046613468271,0.8245286900166227,0.6867962155882742,0.6365018404936227,0.5875272682441964,0.603927121660159,0.6203416351030806,0.6455623314152561,0.6431968754071152,0.7685290529406155,0.6861712861674116,0.7541522515899498,0.7083749471759544,0.7101556465615664,0.5865928235411252,0.5848816568805287,0.57931757273361,0.7969411232061376,0.7181523525700562,0.794895758377783,0.7751684575559289,0.9470084210757862,1.0276682920013518,0.9264088734060727,0.8388580778796274,0.7955310167024069,0.7174747275694192,0.7740231644504694,0.7249273662654284,0.5647537824371068,0.568324621648801,0.6282162371980317,0.8438224028025382,0.6183500776072399,0.5775654965931876,0.5804635643341453,0.5674004314682037,0.5698796724330856,0.5822561880121053,0.6019477256624018,0.658775541543727,0.7492252006249063,0.7520728033136131,0.9320501661170696,1.3848344909774841,1.0855683539313636,0.7467021190005529,0.6960817588601732,0.6932353787249946,0.6697707290492132,0.7022788249233372,0.6596245422867926,0.5906568491572315,0.6045219876532474,0.6658576182024358,0.735091673936555,0.7854351418706162,0.9403566825876012,1.2550934236600533,1.168089938608443,0.9373216964014132,0.7926705283827854,0.6954546167785312,0.7068686102949592,0.6651972114321831,0.6506430456765805,0.6899343617222853,0.6924339653329562,0.7211335363271719,0.6742210000535034,0.715220279091247,0.7380401500658085,0.7429858837176252,0.861024316417496,0.9604671399312165,0.8566440059439177,0.8429338643589389,0.7519302389629978,0.9830008516099352,1.3841229181356562,2.1639356591390277,2.03470358304732,1.941738818002354,1.4424946950960758,1.5814567497079872,1.230821580417799,1.4119810413217433,1.455301827025155,1.3939110283270932,1.255821401945011,1.1863945659409811,1.131531444764234,1.0202481053715429,0.9945554197591712,1.0449762371708868,1.0671260127070437,1.0869754796181874,1.0752809399895336,1.1366951782642547,1.2213160310397269,1.3497825495195959,1.4137194355390812,1.551688660404404,1.678401023816998,1.7327245748334408,1.9870084203627905,1.8201155148879342,1.6599938759863189,1.390999795978689,1.2896891499875507,1.3810952934312466,1.7185107542717297,2.030385441396744,1.7184371913314813,1.5973767840454034,1.4852588721033755,1.4345864731896474,1.3458851783781067,1.5525129006469727,1.6521255904432355,1.3851252242445207,1.5206879861610234,1.8538394173489094,1.7714488306075817,1.6025890191349457,1.7992852137843156,2.1610764297714713,1.8100659664796352,1.7763884096762468,1.3973288558001002,1.3863983589070528,1.3454423696335973,1.1747536691145857,1.1919678605735347,1.2374047871734297,1.120357181928531,1.0925972647900934,1.1552537550932518,1.0899345002101422,1.066625806702975,1.0885250385762266,1.2129844919958348,1.336687378545384,1.3050538175314077,1.3221046515341883,1.4817425064480105,1.6903897947408557,1.5155617108893014,1.487398370883278,1.3804213785507526,1.2573961258099822,1.1879839002344672,1.2503748056144746,1.271791000025731,1.1843395569870803,1.2489641654617565,1.3541520381021326,1.3145801525157035,1.2562297220827758,1.6109584664263383,1.6881723619166384,1.4060628382253835,1.679948468540915,1.9319466707459823,1.903765439628953,1.704581692440323,1.411982776936244,1.7966437413746836,1.4527061187762818,1.476260263158855,1.3610475084406424,1.2261371415956313,1.5162953256531426,1.6036719766158989,1.181014727015236,1.1614353173277119,1.2521350940178195,1.2670743654304324,1.025674220092339,1.084106121239907,0.8824710970794589,1.1263046590003778,0.9654759320452914,1.0388709251854946,1.1217884355033032,0.9811031213791437,1.2563951774742634,1.1610539162206237,1.1055624569862226,1.032419796470409,1.6263856272279429,1.135689692469228,1.4373461620590111,2.2165288346221956,2.5041334742214243],[1.1660077265571853,0.7678255558921019,1.0086279036347046,0.533772779488621,0.7464186482525231,0.7377415568570266,0.642718512285574,0.6676288292852104,0.6429584095221879,0.5959713724927209,0.5957968739181468,0.6463411891755234,0.6502657577833364,0.6158868146014004,0.6688582638566475,0.6576304349854678,0.6842572973110996,0.7027383204685725,0.8054625744817285,0.7983128247647916,0.9100052987475458,1.017068984496125,1.1842176430845595,1.2129859285387534,1.1125454078988202,0.9310292171411366,0.8615129552667412,0.7481757994095181,0.7139770160554095,0.6746731974914798,0.6750609476124538,0.6551656797842251,0.6554542704653199,0.6809420573204039,0.684167325302187,0.7222074096318649,0.7153007261184948,0.7685806022153088,0.7719615327993229,0.8607221071727373,0.904156679503149,0.8905064303960103,0.9009926129751322,0.9828439678375579,1.3475009507559128,1.5663984110813665,1.798278440369665,1.0996547764850655,1.1548375589003599,1.7015096429016183,1.3320493566800877,1.6155399448726568,1.2261761720323028,1.2512842181062365,1.6131118296819875,1.248655834572601,1.0856194627219078,1.1886395669126328,1.056820343944813,1.6577823505839115,1.0630913022260249,0.9249484751763583,0.8353986359065158,1.0124205215442261,1.0503344977265212,0.8537556636147325,0.9744561395124626,0.7704730580108533,0.9070737289904917,0.8292455717994751,0.9383960678919148,1.2620257292805066,0.8929581077555404,1.0859093348142954,0.7963344924991831,1.121287809782871,0.7715725306733827,0.7523785005495828,0.7852115336559409,0.9057187045017763,0.7585795803628352,0.926208594329297,1.055066659688262,0.9319965910583567,0.881411728078005,0.7903004304200851,0.7586337342612648,0.8286860352044059,0.7617579354416025,0.7590319956819824,0.7182453034958345,0.8767258796530445,0.7587845947660923,0.6421070298889269,0.6502809026705081,0.6786634733287442,0.7625305421776798,0.6558732577082265,0.651652813360583,0.681867210600127,0.6776887489467827,0.7982620675229049,0.7548951144072072,0.7667341227654578,0.9204548767024265,0.8721847145720367,0.9880872937207611,0.9523272751954097,0.9164397128183815,0.94195003073261,0.8296559040452912,0.7497840693139433,0.6697089140289691,0.6722526801987244,0.6709901588326468,0.720168243108451,0.7471791766158031,0.7611210076934627,0.8564001257977478,0.7370786326615404,0.7692569699203617,0.73864319533956,0.7742181175411604,0.6514963253016387,0.6297982108725005,0.6555546232649001,0.8237273438726336,0.7899865079123838,0.8669578615491954,0.8710628910799959,1.011279582453811,1.084547671908073,1.0309508871093374,0.9576719365762734,0.9306881172301067,0.8522682703952175,0.8901398664755814,0.8742396547805164,0.7249886443822773,0.7421930819016971,0.783814811476562,0.9904725378489816,0.7708812775755196,0.749702896764681,0.757340162760338,0.7108599645480458,0.6967553480813566,0.6714245777109533,0.6864328749015959,0.6962471688602917,0.754231720657197,0.7108894833131877,0.8908448953691319,1.332909795290359,1.0028631911440673,0.7001111333515504,0.6853787145810193,0.7190033153913046,0.71406543909925,0.7773122901964501,0.7834546843208575,0.7296861954331663,0.770861044254834,0.8453388073186804,0.9236886672523056,0.9791668005161902,1.0913872786985792,1.3677162603538382,1.2912916088477941,1.092169152384679,0.9501581563710174,0.8652386829412015,0.8773515436919708,0.8313222055283817,0.8124735174940799,0.8208131243260606,0.81316316069761,0.8493483871979142,0.8350309719415925,0.8629830489250752,0.9010771319044344,0.8862249281706823,0.9956656507792965,1.1036746898105643,1.030463251934738,1.0201656069051206,0.9355773282662405,1.0787990599108077,1.469582812024482,2.1612562413786254,2.0650992523792717,1.940850464921314,1.5012467379860555,1.6571901260371216,1.3128546496117386,1.448806932126988,1.4966280338225384,1.408230665563194,1.2463977499565306,1.1678382315046072,1.0980403302265966,0.972458481237679,0.955698879441827,0.9818752225418801,0.974476870675082,0.9816051732685815,0.9844779736920003,1.0069094824413198,1.069547475068144,1.2196962079452882,1.2752890866450004,1.3789107219818413,1.510045297085046,1.6055072971393685,1.8399004470311149,1.703666579915073,1.4654398857354964,1.2114148414461885,1.112991049712334,1.1848414096722046,1.5303204458208874,1.9659809836336595,1.5700297889846047,1.4999210803684135,1.3788323578402233,1.3355730409942088,1.260630101880671,1.476030980580679,1.5460183523278659,1.310043436735562,1.4743753120035563,1.8032500109577339,1.7129812954517816,1.5632151745267884,1.768759446879305,2.1227407793565134,1.7672997299880597,1.7504102886048014,1.37365350542856,1.3696222002647072,1.3271281173633613,1.1278940654290905,1.1539475613150547,1.1559805376592862,1.0817088572311133,1.0570734401052846,1.0574106153283485,0.988870041084079,0.987834989233237,0.9778370973591236,1.0577962055658852,1.1751753158849398,1.1495411915624765,1.1412041439547598,1.289051005168448,1.495942298098165,1.3281984070190076,1.284874023340683,1.1828389890574427,1.0900301003013433,1.0581388056671204,1.1354676030464905,1.111747245040638,1.0377968672453828,1.1514483796540118,1.2266083915354682,1.170827684609196,1.1640014596514345,1.5104451039832258,1.5728476426995963,1.2907222463146486,1.5960899061428526,1.8449445079509443,1.7949888437479322,1.6005762985124408,1.2948786620540689,1.6969203542430822,1.3094497481286582,1.3054473708372436,1.2717109733716472,1.1071416087630819,1.439731207768431,1.603662996467671,1.120699378854074,1.0460875618192989,1.1602904759254928,1.1992883145643891,0.9859567467478866,1.070392222835046,0.8927931830063573,1.0608526694592066,0.907256326409683,0.9432059858170048,0.99181641816085,0.8758284418404275,1.1393431756725076,1.0317236886923322,0.9693517671941347,0.9089037985504956,1.5970272365737819,0.990425010791648,1.362778241841495,2.1712430196558916,2.433400781699778],[1.1601879659106877,0.7490849897119116,0.9187717778995704,0.46614294440973425,0.6406954149297707,0.6778916732419481,0.5445871168502728,0.5701777421263271,0.5611523760013176,0.465639957302514,0.47304977016260474,0.5336146728343589,0.4896816936329652,0.4662749522855964,0.5198176280958589,0.4925538508590082,0.5148277795398287,0.5251782580165382,0.6413915088567185,0.6103011794806759,0.7333292605267044,0.8267383027886791,1.0148826186473323,1.0373249803711224,0.9279302858220868,0.7622650044547284,0.6646144260174374,0.5615265367742459,0.5349985490258579,0.5021481014102981,0.5195675239991722,0.48761010097068136,0.5035991522332572,0.5234965987660669,0.5117229377684306,0.5451766287720081,0.5294021583513149,0.5617628545644836,0.5637178752531364,0.6355079573060114,0.7233481393734211,0.6992512542624513,0.7257102895144273,0.8194601286749664,1.2229221184032188,1.483095145242146,1.6730032213363164,0.9401353872015633,1.0341054932614953,1.6134665642794879,1.1884227465535373,1.4987306788645605,1.0875869517468597,1.0466372265502633,1.439109878359513,1.1031290690431066,0.9539536513136084,1.1214541151040545,0.9155667466760451,1.5819533840738795,0.9705419611139647,0.8068912088407969,0.6785907312524433,0.8612828186173226,0.8926494537149786,0.6952727762599727,0.8487893712428777,0.6107937714930608,0.7756107511146184,0.6982530041182464,0.8526933924846151,1.1881155233190681,0.7952607496604401,0.9661673194331241,0.6695911988180042,1.0162804656065458,0.6053515655871061,0.573622039005874,0.6024051566825486,0.7319289455147099,0.5610237936869834,0.7658346653184687,0.9717235917726706,0.7246952926354332,0.667486250014245,0.5776772602888398,0.5601170117037996,0.6701907293744244,0.576913852053822,0.6023400566716032,0.5677420442135541,0.7852355665328766,0.6318680107391248,0.4987154708814644,0.49878572461690407,0.5629703424732951,0.631393563351649,0.5103601014578073,0.5247538555964264,0.6233237569769938,0.5465921452325676,0.6802040303979521,0.6042690120326011,0.61694015469398,0.7417926982906962,0.7218922819564271,0.8789564879006763,0.8333225271461382,0.8053136208133689,0.8613216935375815,0.7322746403882401,0.6151379440180418,0.5255321193696302,0.49747317817852027,0.5051494348290281,0.554641930919388,0.5767583261105769,0.5935885622945156,0.7101244805234831,0.5890923785873547,0.6440498189805531,0.5904040174987815,0.6204239527920721,0.4740558523244594,0.4543830267272164,0.4902775835528511,0.7223131379348414,0.6401778006850233,0.7160072444275507,0.7037894507464776,0.8990535335686335,0.9848107564672608,0.8910794027757252,0.7897707630723306,0.7533404268175227,0.6651906087394687,0.7185054234848222,0.7016414713028342,0.5335582179112527,0.5487373171589753,0.6224700697880349,0.8445772983596249,0.6021781910541041,0.5557080897737348,0.5522520503037764,0.5190636878183668,0.5102141434338344,0.5021825951826153,0.5155980229934114,0.5458332105591966,0.6383537253675186,0.6284216164975978,0.8440272657736687,1.3210566663991323,0.9688658047529982,0.6233503309393387,0.5645746052308235,0.5846525322504824,0.573912979604445,0.6361458931962145,0.61799317474013,0.5464755888343549,0.5881206180225286,0.6466965432946107,0.7314208520603905,0.7944890115801779,0.9063266570400663,1.2216061344882547,1.1701974452277168,0.9355548547353401,0.7796749207837748,0.6844792842066584,0.6856986790024083,0.6393491321568946,0.6139184647207829,0.6480987967441858,0.650151861207328,0.6931357107711259,0.6432649992603214,0.6895129887520607,0.7144689621064612,0.6984697617880702,0.8172355285555997,0.9458103419122027,0.8416611611126096,0.839677743800122,0.7430259945637752,0.9457880706868187,1.3611634712498664,2.0970898513213756,2.0450271681280814,1.7194452581914057,1.3407518903861586,1.5848475187372446,1.2056414218460967,1.3294567087393088,1.3782051316280834,1.3304880792681812,1.199333635624985,1.1461084706671003,1.0291738905065804,0.8934214218176122,0.8832415204477635,0.9181437732499332,0.8891753979892172,0.8971827871604532,0.8840244033022862,0.9170158016923529,0.9824193802843845,1.1300569510380376,1.1697222676269665,1.290934367831211,1.4444490599381075,1.5171230669789908,1.744358477998922,1.5856710660701472,1.3657483456254236,1.1374819922932875,1.0438280330013063,1.1008834969822838,1.471730311727495,1.7605433685991436,1.499992895101449,1.4393044622363125,1.2897678480142614,1.230131860905631,1.1678989434241986,1.3484513230087731,1.4421597360695213,1.22809632924943,1.380167580408429,1.701990994540152,1.6454227743837146,1.489902997658296,1.691160133674317,2.033839688032144,1.7268066733394185,1.740081898379638,1.3283758551614206,1.307646517447221,1.2291971152395795,1.0323450468769206,1.0607518819373842,1.0637484421159469,0.9754610338326305,0.9522562501244254,0.947205442959406,0.89710410858262,0.8881952803391082,0.8821546718885218,0.998725514621541,1.1393697348066918,1.0901748756451417,1.077376453199399,1.2493297048489251,1.4655399064993375,1.2609809788922153,1.212952363386075,1.1008273413216683,0.9889228618025512,0.9602093676365414,1.0277867299192576,1.0239866649561284,0.9505584201197522,1.0569117372002814,1.1493810644754086,1.1008672966495698,1.1104518650103385,1.4384990097940367,1.5300127495687883,1.2679770658677365,1.5604247312752335,1.8014015409106297,1.8028810672804487,1.6324558675354757,1.331109032935835,1.7891476772850852,1.38148947014581,1.280409325726465,1.137468750670329,1.0010793515315408,1.295747023707043,1.3833383617282522,0.9935828832222952,1.1411430575233474,1.3465945129739523,1.2399238096797023,0.9349398238849851,1.0365029881138534,0.7800840631717408,0.9656166388678369,0.8281269070195678,0.8644147945977146,0.9609379400553933,0.8238318297335498,1.0474162133943088,0.9513402229506775,0.941711319383348,0.8526899229105023,1.48195581850775,0.951820371607491,1.3110914543388685,2.1237530650213774,2.357681947222812],[1.462614939332789,1.1872730781742105,1.1718433951720773,0.9389620367679224,0.918029663707451,1.0351270422800414,0.9239411466709676,0.9438990811972021,0.999622644869244,0.9349630895735677,0.9674496128216667,0.9748566913841415,0.9029975259971217,0.9370518518679707,0.9607821028026188,0.9029552661227315,0.9066670638980098,0.9268604748146896,0.9984748433204308,0.9396837449572794,1.0492458566497254,1.065391710110343,1.2866271955366122,1.2588759391608682,1.1317292702189075,1.0540473300658637,0.9152118962364704,0.8917611269926711,0.8915153941910117,0.8722677704711899,0.9401899099659589,0.8753958116290272,0.915879046614124,0.9196777161846392,0.8817616879416497,0.9006221315578676,0.8398216430367802,0.8502212476164598,0.8090299160231844,0.794732081076201,0.8758960648244764,0.9290466695283788,0.9195744628301377,0.9412805452550072,1.309036034746729,1.5497907855845308,1.7188376636392586,1.0322568049883616,1.1141329224886165,1.6676929363210933,1.2460596781046662,1.5491238188409908,1.1454740909379861,1.0999673934156473,1.4871264709678862,1.144242438639733,1.026894137857275,1.297418296329304,1.0528483812165796,1.6180424342572597,1.1535673517330316,1.0779667236935582,1.0181177790527214,1.187346699579843,1.1822257353623415,1.0136315972136982,1.1701893772959047,0.9989666631878195,1.1180959540528772,1.0800291227981904,1.228058719425567,1.4705529162139368,1.1887813507385332,1.2716879687774074,1.0892596109823631,1.3177127517998735,0.9692683122512463,0.9291144762508349,0.9108352048153545,0.9738424241966738,0.8338548023608405,0.9395755465875292,1.096963773263354,0.8201579298381296,0.7881718536628701,0.7743589705355075,0.826007668450746,0.9182668872796029,0.9027112461107343,0.9538211690899131,0.9695384420963628,1.1986432118623895,1.036898005056638,0.9486412910222111,0.9432772827727254,1.023262601325328,1.0519524683942527,0.9583993144440814,0.9551462143585752,1.0458008412761526,0.9162488440394669,0.944855414567324,0.8624109280105358,0.8486128276212626,0.8545796519361889,0.8548036147227189,0.9938809761782463,0.9302726655800682,0.9273688313626917,1.0475652757346479,0.9470812920312014,0.8404823770269394,0.8372601161778991,0.7919598870802222,0.87094933951613,0.8937417042696869,0.9262151734468436,0.9471982503371814,1.0538238108915132,0.9915275021141046,1.0663475164640603,1.0048411890367512,1.008305298826339,0.8716151833330061,0.8511786689359845,0.7996586552995005,0.9870451557007845,0.8179573806974575,0.8288644469633022,0.7820155610777278,0.9516093928596845,1.029925417251616,0.9024741957297238,0.8265057838378195,0.7869873721081573,0.7666292330226713,0.7785290972383466,0.8083413479480649,0.7619131910237076,0.790084548522371,0.9205104254863363,1.074486953811526,0.9141177653492784,0.8306839698479305,0.8023255182797704,0.8124933518590522,0.8033057072117963,0.8236426181905696,0.7955378374270858,0.8527988474133946,0.9126658732790234,0.9899027952033792,1.1280379545984984,1.567307474506159,1.2640928372986058,0.9955797573509264,0.9223740276755462,0.882434026439116,0.859238339460913,0.8551683945156093,0.7951359265539052,0.7889031415908028,0.7903746913393989,0.7892942516356816,0.8231137443080865,0.8769031558787426,0.9225616478904095,1.2382413393408764,1.1793309800546223,0.9683143003649507,0.821570101043253,0.7745700615156995,0.7696137403677927,0.7579033199255322,0.7632254482120292,0.7961701728862756,0.8566125456699047,0.8647323648338878,0.7925298065697737,0.798960955153204,0.8077293667394602,0.7812903038757975,0.8443027774531778,0.9399418762529397,0.8557063465306265,0.8838476159714882,0.852427083302184,1.0288847744499874,1.426812513341483,2.1366872903275063,2.081139041327196,1.7163919756656176,1.3292074149815791,1.5309383821127416,1.15225376295228,1.2658387313096182,1.341343856528068,1.331480828350892,1.2409544949418068,1.2288012428880264,1.1492650600975811,1.0596294270709035,1.0333775537371737,1.0764705982634084,1.0878420341174213,1.091422459052142,1.0613322890341754,1.1332014206004368,1.2260798314425403,1.3179688556900633,1.3512946013169493,1.5080998540022328,1.6588709908666843,1.6832433384984098,1.9032390362262488,1.6963720747709352,1.599891949334209,1.4012552604211705,1.3051117005392607,1.3832310466147741,1.7286527478314677,1.9652095084713308,1.762174042430169,1.6636446549034016,1.4984573746230019,1.4182032695500268,1.3097186711469044,1.445307748885924,1.5665867868115388,1.3580641020336368,1.457818988564838,1.7888922194272165,1.7405706789919115,1.560204621682252,1.7110612665481286,2.070433456971981,1.7884449160264784,1.748254204178632,1.3871947599699468,1.3419356313250466,1.2844622599394144,1.1640829329070255,1.1804869746609608,1.210003167853191,1.1021887251410294,1.0960265465572494,1.1202023738995281,1.1238773423750006,1.0814142000837585,1.121291965931685,1.271823822239984,1.4010612977851162,1.3386899230265532,1.3593141730614382,1.5513439318718336,1.7276547802438778,1.5368030719127426,1.5081728958226917,1.3702310945480143,1.251217754851431,1.1972281855934874,1.2534478939550278,1.289089313454224,1.1982765080803148,1.2591106300545716,1.3884234274164953,1.3408118702442477,1.3051532555075966,1.616269752405089,1.7569830456979991,1.443866435568252,1.6590537503666822,1.9478133201591539,1.9865762592554939,1.8000175483154568,1.520612607872614,1.9812407466327053,1.6058152468422702,1.5375403116380875,1.2605656472399036,1.1673202430963152,1.3562764198672135,1.3223656636810417,1.1331446017519395,1.3734253683271629,1.5260436663014372,1.3624156384253594,1.0620657350047629,1.1321344964581181,0.8970334016354611,1.1146238467948342,1.0227068699323227,1.0895688732332363,1.1764176994119453,1.0754492017251143,1.2345375289480323,1.2275806062210337,1.2376210790658944,1.182824186814113,1.666942508068056,1.3383997286895708,1.6234750528787405,2.4077283475296407,2.679827248689086],[1.4499883269266827,1.0234333618138554,1.076156447205907,0.7295571925867246,0.8432013984318256,0.8619805283523788,0.7078889071778518,0.7550512012171913,0.7109023756193228,0.5774319724819268,0.5887104030851062,0.6418907728960469,0.598866043551773,0.5321366534232936,0.5712569778569955,0.568317129812013,0.5714829883094534,0.5605598407001264,0.6555098143290587,0.6412474956074841,0.7313316949891435,0.8347214408498943,1.0005871261490453,1.0452027138973736,0.9696756510163039,0.7699657162389325,0.7239913800437466,0.6271506933197887,0.6053925609641465,0.5974868393875507,0.571976481501939,0.6253913812538104,0.6417620432498806,0.6177890101790359,0.620748013572971,0.6281442122514652,0.6689962880434253,0.6893826547529269,0.6966870275833071,0.8223849160320967,0.8702064431575364,0.7786932559650435,0.8364596843433598,0.9780949191919894,1.2823615282811078,1.5260852245769712,1.693924875445735,1.0728366633601496,1.1631666856578555,1.6749156952092978,1.3452974600263767,1.673994545709135,1.2909463335172138,1.1993844639918818,1.5473283223005085,1.2335701242105495,1.1282806397609388,1.1549264086201803,1.0496101539454867,1.6610347347510772,1.0228248301839162,0.8665140244933507,0.7112260901132736,0.8731951260813469,0.8950137601706456,0.7312418438143722,0.8219581373609997,0.6248697485129313,0.7405093245426234,0.7127922683610981,0.8507063980778203,1.159743946061937,0.801763896840828,0.8870349410232348,0.6793726534357278,0.997055107698385,0.6267351845772094,0.6209241979737231,0.6883472303892002,0.8142810343288717,0.7236026625519422,0.9232929305354242,1.1165005948523035,0.9268469570079589,0.8587739966877191,0.743757430003149,0.6868145763534542,0.7840922703060027,0.6495677534875925,0.6756319505453642,0.6000558632278551,0.7760750897328339,0.6379334536930898,0.5531159233162624,0.561845466329558,0.5949745106632941,0.6698133362369222,0.6354202109160705,0.6646677540924918,0.7944744491247118,0.7167115256131257,0.8622748124908257,0.7896865669161153,0.8597915117144418,1.008727429249523,0.9849044367374927,1.1544084430213293,1.177914563971247,1.1120802213568943,1.0444056332417382,0.9429466005020609,0.8112215366942978,0.7028912828261622,0.6485696212967991,0.5794381540005445,0.5970752707573299,0.6153578637784712,0.6266975578803557,0.7234981207989943,0.5818892046735028,0.6226364691408485,0.5772223607370999,0.5880911583763525,0.5334262632650456,0.5834658761149976,0.6512116016464942,0.9086250105383031,0.8278135664389145,1.004462941866873,0.9968137192364321,1.2070169661981636,1.3096561510446953,1.2101589415427387,1.111658172995751,1.0511892524113553,0.9328109742765673,0.9718203148559967,0.9030642902509544,0.675727057578866,0.6745103558303437,0.6743817512053619,0.8779441996790378,0.6427219910267912,0.651313771940494,0.6743274843707631,0.6509236797999457,0.6528107364739237,0.6712735162514155,0.6872757323228864,0.7094297475568389,0.8406796886088048,0.8091287715862074,1.0442131037202098,1.3933427007060553,1.026854887569107,0.8037951780973166,0.729977526382713,0.7727439714002562,0.7378271669529701,0.8235652165099445,0.8044414674495332,0.7165379358495493,0.7336649130954456,0.8044835345722159,0.9402443957799771,0.9496770784793289,1.0939045921956665,1.3796404451512743,1.3475890010879148,1.1081579951121965,0.9907630659642285,0.8791024555819704,0.9046955748390199,0.8612253308587766,0.8256935311135645,0.868423449686212,0.8189994453722165,0.8963912048333956,0.8301419582119615,0.9383632098698513,0.9342440226745115,0.9571697866401582,1.093449248995594,1.2120804941345584,1.1120932530765588,1.0800293233107865,0.9219959858622385,1.1283932537524404,1.4921711159963793,2.074724707203295,1.9967083395828773,1.8468853678179211,1.4991187648992637,1.7073531968672393,1.4497981160402473,1.5995095028149988,1.6519058962203548,1.6531046600132762,1.5359185347544178,1.407623504322688,1.4119505819491296,1.233652816050327,1.1587215497746242,1.2618821608896174,1.2511656032137028,1.1461688100972127,1.1558845006274265,1.2269028010584457,1.2336902595703645,1.2438725995485518,1.305670096390979,1.432481797070186,1.4987138743643749,1.5576176604285676,1.802105188838056,1.6786229273586217,1.5817931161345238,1.4679419912177147,1.4003361628891113,1.4678681132456413,1.922078376434269,2.1337318295131804,1.9280193966825308,1.854182661973881,1.7603265413161948,1.7317100528856555,1.6451171346509095,1.8266117762438234,1.9074626737883047,1.6874598330685486,1.8325864520534805,2.1756141185205555,2.104206116672282,1.92570124331388,2.0724427974236472,2.435953999740127,2.1118346320432404,2.027959730000836,1.7006632614575872,1.6435006730287154,1.635113643257711,1.468106256208796,1.444519535126061,1.4325281931203258,1.3057101137348524,1.311952906210801,1.2905681164870944,1.2076597427071807,1.1420797969524012,1.1964646326536499,1.2408510458677287,1.2675649086322585,1.2526161193384138,1.3169236368321284,1.413244924931213,1.5321583431358967,1.427740520303696,1.4247499291765064,1.3733883998781928,1.3409365946504699,1.3393473275633527,1.4697764172591827,1.4329372936549132,1.3289197609957906,1.5018311353643112,1.614549384067862,1.5305777764671202,1.543047845704509,1.9128735878144862,1.9584260592621905,1.670777305596124,1.9647404756415074,2.205358396712922,2.177979854695389,1.9908954868853113,1.6533615439052807,2.1165989697302945,1.6872194564033547,1.6080210561993615,1.3429896205614504,1.2542966623511365,1.3621958239785616,1.4324632129038095,1.1562010869499173,1.3594681046497739,1.4878957902678895,1.4812638505555424,1.1573286959965479,1.2879386259733399,0.9666832273807751,1.06220591069186,1.0426972504502288,1.0783633718813062,1.0518359222996538,0.9908304023995753,1.13214276341095,1.108193185082265,1.015555481822275,0.9820368939984463,1.6129491522532087,1.2104506256826195,1.4472959269030783,2.539248466253658,2.7751371266305225],[1.3500561791993868,0.9290258150829099,1.0656439818885892,0.6719139549698129,0.8208246207067766,0.8325191539412573,0.7310715549620062,0.762490827556604,0.7379504774296194,0.652789821285845,0.6649952322871842,0.700104778693609,0.6878687528295152,0.6334972704357447,0.663480115372037,0.657597493024351,0.6724064349859836,0.6773563203176258,0.778076054690005,0.717538034213367,0.7884856963190301,0.8349166692906864,0.9905201438922788,1.0659902342435363,0.952745690433141,0.8144091581330213,0.7671604415211429,0.702324960232982,0.6778218697886637,0.6848156678580426,0.6769011776446456,0.7021100322357497,0.7227304377325994,0.7007270683595169,0.7004774893889689,0.7259050750680769,0.7020102957150645,0.7018708522847698,0.7293955309955447,0.7970055115528144,0.8737715031772721,0.7953046062503385,0.8711739243661205,0.9860228796912794,1.300573377798622,1.542295021836534,1.698814177723305,1.0686861230208016,1.1619987959408538,1.6702298763997039,1.3299601254824085,1.6372181011904374,1.2378743306194824,1.1293119626600439,1.5077549135239061,1.2045400216961948,1.1335944504924453,1.2413099924770716,1.0886145808740038,1.6430744628025111,1.0689386332802258,0.922275762469861,0.7689868587398402,0.9028552058741657,0.9322454576997766,0.7968312301403435,0.8650533724721441,0.7328185351628094,0.8187607731814015,0.836675628306479,0.957888437557485,1.2419383350816136,0.8971726922409634,0.9439534765141749,0.7935325615586908,1.0740287718291013,0.7377063828106332,0.7171803504242229,0.7550520335504908,0.8357691616103448,0.7640816206646673,0.909280417742139,1.0887773643690928,0.8793216775583362,0.831886223633834,0.7569566369971565,0.7272184102608444,0.793543668474967,0.7225697735198303,0.7580966771791059,0.6907285634364879,0.8574740746695128,0.7382440763911631,0.6677264110883003,0.6710097160773851,0.7026468536684964,0.772642554662121,0.7095489161570095,0.7191652120767376,0.8078288354047114,0.762211604090042,0.8763865331735448,0.7742379431472083,0.8290751286030638,0.943743255446878,0.9240096301560784,1.0603714834132316,1.0422555464907055,0.9895862724580973,0.9999250578512314,0.8965677548563195,0.8003339320231835,0.7134904057365161,0.6803247953107668,0.660091434849251,0.6874177752887324,0.7104962284630998,0.7201895471122526,0.81808692199187,0.6904868819374187,0.7059107738241526,0.6770780729358266,0.6824110573129042,0.6432969822865177,0.6552679385044118,0.6697590104861898,0.8800495969256092,0.7932031382001801,0.8867705953383077,0.886959749587518,1.0452234509437914,1.1352568441112885,1.0346255063567862,0.9695174803984491,0.9171038228067161,0.8197910294762565,0.8598309303397209,0.8257221300936044,0.6740003093969977,0.6786737325575365,0.7245337477796157,0.9146527926363374,0.7053897977696769,0.68818878037321,0.6975311450266555,0.6685320023056454,0.6761875069515071,0.6963535959283808,0.701159249753945,0.741341917832341,0.823018288012471,0.8066083264943794,1.0324040455669954,1.3392787204603454,1.0203158404795523,0.8015646014863402,0.7515667712212615,0.7702595091222829,0.7681767202132526,0.8180481998251391,0.77657252598395,0.7106416762513212,0.7223647829720905,0.77998907074321,0.8620005346802072,0.8856643640940757,0.9788533777178432,1.249533365698802,1.1993799228453659,1.0017830702976982,0.8722690998886801,0.8207859599497753,0.8354932559443872,0.8105888827386148,0.7853252691072686,0.835892790204112,0.8079898215280266,0.8911104152395258,0.805234456869068,0.8989854550461391,0.8773681145545039,0.8795390300008236,0.9633014953407789,1.0506672879858958,0.9694798512942688,0.9575950655023748,0.851833101732196,1.0627263884429652,1.4554963427346115,1.944721001324593,1.8672581901672143,1.7127230982362338,1.3082255741340054,1.531404442849096,1.2355508936041242,1.3897569734051316,1.4750147125675468,1.4587258614059058,1.3306173769520224,1.247594416827035,1.1938277378884337,1.0621626440198664,1.0276996063193162,1.0772047938597404,1.0742844901585429,1.0435346202277964,1.0486356258507725,1.0964654489774945,1.1474506350112916,1.2476722753079634,1.3233028834874827,1.43804584943002,1.5317024855719368,1.6469384421274094,1.8999533443492707,1.770685814387491,1.5563571442999404,1.3086632143349841,1.2156404583888347,1.2923370404621433,1.6545440496473682,1.9872966220299952,1.6426472188210983,1.6048164869179085,1.4922439487012602,1.4419523964542575,1.3585944951498072,1.5419216093501176,1.6267748565054239,1.4067075976799903,1.559004944095623,1.848117091490165,1.7925456026061086,1.6558801954846991,1.8205498736851737,2.1507202664809495,1.8453952367534006,1.8160675114397096,1.4628331676251312,1.4435780568726322,1.4004636189669606,1.2188965061690915,1.239742012443214,1.2752176382623805,1.1350062718614593,1.1301087469107591,1.138645163847237,1.0781059403998012,1.0450684225022289,1.0608984133841766,1.1365023834187717,1.2084579832325917,1.2013415865463433,1.230629603512132,1.349027980766959,1.5112136145776638,1.3889788114403465,1.3635605570662817,1.2836515044319667,1.2014269755768268,1.1753242816194323,1.252189794752965,1.2306248761652088,1.1538597923352432,1.2630492669363071,1.343232998490875,1.2890547974545854,1.2853235530796652,1.6034703830486512,1.674338927277747,1.408947865949262,1.6944507002707814,1.9175895418156192,1.8794997622958818,1.712435761736085,1.410782337874837,1.8036968718786086,1.4194636372319858,1.3923499873391254,1.3396879009283966,1.1804037636879394,1.4467770842703667,1.600992324543082,1.123860007864175,1.141784859992522,1.287786068652762,1.2962202000650889,1.0356010720469522,1.1418178963565662,0.9014791746200878,1.0388260255084707,0.9674677269586508,1.000535198451653,1.0344865264265644,0.9550697260965912,1.1542216689319473,1.1168540668426306,1.0252845046929537,0.9828245278032007,1.6837105896782385,1.171703100747279,1.4012601903765878,2.3911513893721783,2.627559533635358],[1.4436547056945903,1.1964440008314798,1.2569848673956856,1.0573359999665104,1.1453473905682636,1.1324653078842926,1.028731190849064,1.0546339286196673,1.027606345742467,0.9603283766357769,0.9568895106890388,0.9867757596603112,0.9609851465843567,0.9338480150108859,0.9511785488059183,0.9459492933135403,0.9403305521276473,0.9354267645755716,0.9553866047156121,0.9592925159884406,0.9900913305934492,1.033753114234751,1.1709710787728018,1.1868094320099023,1.1184446502862653,1.0060005708995596,0.9800257071839144,0.9481815637726413,0.9405064727600099,0.9602135201368309,0.9459069485908629,0.9593053000987929,0.9894185012725762,0.9705129298304825,0.9516946703395157,0.9675257439773831,0.9736292955253096,0.8988619749549736,0.9118341904001158,0.9757612533096556,1.0542011044324584,1.0030466398330606,1.0289214597611558,1.0976034209969119,1.4000825337701468,1.6347461790303852,1.7274286794493132,1.1354586028076377,1.2650683051547056,1.7452067049903435,1.3592881470315368,1.6919267175831139,1.2936404857897266,1.2650024950697458,1.7029765573167093,1.2861970465290604,1.1941511210169733,1.3241338034741894,1.1605841082649149,1.6607658061686483,1.1846892203061052,1.068570858089586,1.0072724269629463,1.0701074999992481,1.0847105915595563,1.02166717148701,1.0573626723109033,0.9710476385506225,1.0273412668416277,1.0739337366068438,1.134191949136144,1.3571443304135598,1.1461258243569987,1.1382473929224592,1.0540967864291253,1.2634213069594855,0.9763264157680537,0.9393411356660801,0.9597317649068068,1.0285565647051944,1.0053491755086303,1.153292326184389,1.2922356272760904,1.0530942979493134,1.0128350572997233,0.9537257749384279,0.9321355334207955,1.040966357713839,0.9669169244495154,1.007136477047907,0.9693114961954952,1.0505206752481506,0.9541387633598877,0.954614638527639,0.9525894686314634,0.9754509010283345,1.0134448749225822,0.9841704010113722,0.9989610367139882,1.0766787441323904,1.0189520085379167,1.1680864234141488,1.0635212271462988,1.1072819048613427,1.1170651008170978,1.139538544522505,1.2325654826143069,1.1907598788006322,1.1962444448209992,1.261392145862632,1.1543706977607564,1.0486319450999115,1.0052995457202383,0.9769136763321854,0.9584114518249047,0.948349117320601,0.9809286875626659,0.9093876858827293,0.9889834589458036,0.9149075436186622,0.9527071507245444,0.9591941014751373,0.9501779946498987,0.9224699649910285,0.9612614975231247,0.9913322449283687,1.2052092970702513,1.034129318852687,1.126285360441515,1.0873321685760151,1.2247747184344244,1.3095080484048238,1.1415630699734893,1.0997158722694325,1.034046645209967,1.0110358115370026,1.0162333417116487,0.9915536282531393,0.8791314659229,0.8645574632913318,0.8575835784981227,0.9624705003246354,0.8604418516183548,0.8735094642296312,0.8842272760665881,0.8971594058611786,0.9045933020212082,0.962040482272944,0.9886554310571368,1.0304904973375992,1.1217506281417675,1.1015893131492598,1.2433826522637883,1.6089075838521523,1.2689761338961474,1.104487520385985,1.029280883509356,1.0684806737456434,1.0353539000972316,1.0819854233019957,1.0007060753984327,0.9311172262804038,0.9105236109772276,0.9443939705434847,0.9843914775185059,0.9384892327258418,0.9775325150949169,1.2038616665085613,1.209487769485262,1.035093491124847,0.9544304376808851,0.9403771909725639,0.9676163875374069,0.9803104311236115,0.9734051153364112,1.0346429987767485,1.0411241166085101,1.0842205660892825,1.0181753994552918,1.047447231594255,1.016928965158542,1.0404945243921035,1.0746445328932923,1.094543186498968,1.027839704498616,1.0188280074053608,0.9877952362697308,1.093754349046652,1.509248104079506,2.027462825009272,2.03951981030146,1.5411445095233232,1.281696469058552,1.5086523733009904,1.269156544060144,1.4293831346759378,1.519589614820725,1.5422766250227822,1.451509554880631,1.4642285850650305,1.3296008879530183,1.255807650307622,1.2585991189793835,1.2699062469858788,1.2323089397651337,1.2535992134475964,1.2419868545861557,1.222124702484635,1.2706925932317563,1.370650685610122,1.3559624514501465,1.4570353081825018,1.6280819902737895,1.6615825445833112,1.794186684819598,1.63213132705052,1.4674360650858018,1.3096949214609104,1.2747898661429198,1.2870347265367648,1.5848862346768642,1.7770067226101913,1.6412693841558623,1.6344064758553787,1.480271475759853,1.4330985294255885,1.4083019633346283,1.5020409967712818,1.5792978946466227,1.4427919701081997,1.5705217146520645,1.7939173626020273,1.7929627151380643,1.6673285338494255,1.7817563984628255,2.1007690234983754,1.874283198769231,1.8553631947332496,1.540276775101103,1.517852014476466,1.4356209490753955,1.3173745563747243,1.3401360686430424,1.3434059795836584,1.3091821987211145,1.3091722846638298,1.232373467146625,1.2627049705082838,1.2541227576698102,1.2451448054570209,1.3355158578155477,1.4377021365997624,1.387695840781291,1.3680375968185707,1.5181181103457742,1.666853944036188,1.4858126871058293,1.4323888371826334,1.3245612044734905,1.251470437584354,1.2512129738504747,1.2770319850245473,1.2551633689292678,1.2373350457915626,1.3186019219810194,1.377425572399974,1.3409948443825102,1.383194903063788,1.6069923241771755,1.6957870556321208,1.5137522784589943,1.7420828304620855,1.9164598180938373,1.97057927244774,1.8698537661365064,1.6743507389286698,2.061831250824874,1.765960280526452,1.531245294761704,1.2981505936574163,1.2529226462457368,1.4275764633294528,1.4054208079372177,1.386421076267462,1.7104064554260239,1.8535056591041978,1.587232094684217,1.315789088110799,1.382711033533153,1.1686140285111837,1.266480293285988,1.1944525055492752,1.2372749119290387,1.27674086897526,1.2034522308796933,1.3090310242495204,1.2636488812675508,1.2748011917319106,1.190257745376715,1.6867732173490868,1.3419558185666123,1.5852413195589996,2.456854570743038,2.671759185591994],[1.1326772271933871,0.7112488549893451,0.9171929849020638,0.4264813624169501,0.6099369971273888,0.6706572729819713,0.5303497535004613,0.5613866544465101,0.548703862690089,0.4345261045155392,0.4465475837342785,0.4962135944420561,0.4545877437932236,0.4059833286202821,0.45425477590481245,0.44337142657795986,0.4775170634302332,0.47892114254270146,0.5792635601013816,0.5567644922018711,0.6665830695408707,0.7542517417236774,0.9331443645049821,0.9787717248787564,0.863930562942948,0.6944266498234778,0.609571290808224,0.51991761250927,0.48423835476578897,0.44708337653722663,0.47421523924996506,0.43901396693866906,0.46671318013643504,0.47230995244512625,0.46195257725765204,0.5100993674371582,0.4749480353750025,0.474948477005817,0.49534658281511973,0.5823195574816035,0.703946427456715,0.6623274425297975,0.7074412848970562,0.8061223760908753,1.2098737441938083,1.4713768837564496,1.6056776689219756,0.9005166527301625,1.0179467691121626,1.5927675574702174,1.1621843759863402,1.4862026707766303,1.0601827177950447,1.019381069202521,1.4640044720061824,1.0608904449088667,0.9333394706453472,1.1135877594965715,0.892072657198509,1.5056596685069483,0.9403281519344989,0.7600979598000889,0.6246028165835222,0.7913898607417963,0.8169701130287349,0.6485289797241325,0.7615070510908079,0.5610860352630963,0.7031253166524346,0.6748361430816832,0.8270710072287669,1.1363016662918572,0.7805231350878915,0.8725368275281088,0.6352909032783359,0.9745695372408747,0.5628351149356712,0.5216285623948127,0.5585821972625731,0.6744808527152769,0.5472456101666872,0.7760663409703018,0.9440812493871602,0.6584603209737605,0.610166540102744,0.49933670654468215,0.5090889988879461,0.6172758950782419,0.535969881780029,0.5628904141663182,0.516460976148305,0.7241750437661947,0.5712017824996825,0.46422634398489215,0.4562458697829508,0.5167515362520457,0.582553102796891,0.4792853586195856,0.48995337939920064,0.5986581202747208,0.5295852807376713,0.6553267583415838,0.5730670847450955,0.5886150705635357,0.68171239955952,0.6680909851052724,0.8270498273815942,0.7613547854692386,0.7497151351690469,0.8292249437593443,0.6831898319362454,0.5616033733900739,0.49243237688522734,0.46053604029217876,0.458743672095081,0.49828658513133994,0.562397162472489,0.5309989784042963,0.6435414185068641,0.5091179846216617,0.5555141115235216,0.5362727210732787,0.5470714876351799,0.43009467128412743,0.4270066091774456,0.45300095552980824,0.7325058212206486,0.5774573756444544,0.6519656426649885,0.6264966349926455,0.8458426941136397,0.9157438311389464,0.7850855564273731,0.690317086077967,0.6498428782469914,0.5772745610147209,0.6151381885215755,0.6046964439776136,0.4613458838134375,0.45701526083118826,0.5510864002658148,0.7569340053652712,0.5303439231985145,0.4858014390255255,0.4801320122937662,0.4523261151481061,0.45672491662248554,0.464037615308882,0.4781718116473862,0.5235785120867834,0.6353995834852395,0.6085200643504459,0.8237422786478603,1.292430689827399,0.9363033139996837,0.6017267757980203,0.5398447302785545,0.5569066940329063,0.5325915241910585,0.5893759098974085,0.5453612566331106,0.47153414795404675,0.4885127485704212,0.5394309443634951,0.6157817423238399,0.6501321905473284,0.7303657279917213,1.0568139924316533,1.028539177586862,0.8036616350822603,0.6353273280182969,0.5729011244793383,0.5754903678156342,0.5397818168828395,0.5240391488928352,0.5652922269553393,0.5979265389912864,0.635227563320711,0.5691505147148815,0.6193620435366055,0.6185797527580909,0.6067589055658461,0.7164884577374748,0.8076803502694273,0.7116159473433477,0.7126624462636273,0.6550245728687192,0.855920629499532,1.3590385561382516,2.0110768464994884,1.9968240973305276,1.5059021137137207,1.1689344937627337,1.4453328184809129,1.0617481972574299,1.2071056190889684,1.285920750770098,1.2642287362753672,1.1266147422640167,1.1015093124811528,0.9431850457238526,0.8146042567623137,0.8117615956988887,0.8367092834908021,0.7974711020893279,0.8243193835320185,0.7985404537830993,0.8251478896970137,0.9112015679126637,1.0804634310553094,1.1221414406436578,1.233498293293485,1.3920593078018453,1.4921748951329907,1.7031818024144862,1.5459663076692836,1.2767218318522726,1.0238891811300952,0.9266560964801932,0.9789601942160933,1.2959320482453063,1.6056955412248521,1.346559279264273,1.3293623031672082,1.1463971136764013,1.0796276570350898,1.0434427916891706,1.1923773902395252,1.2768591163870744,1.099385325754808,1.2641547253420748,1.5559104058460607,1.5217486712687514,1.376821808173337,1.559456198989507,1.8730087170342957,1.617739905593281,1.6478065062416851,1.2360821520144907,1.2258250866230036,1.1223673040527757,0.9416131857857764,0.9818157620520391,0.9465623681069099,0.9030491243614613,0.8776019090467512,0.8564050256031797,0.8212794248872869,0.82015542885211,0.8003127351054655,0.9246111132642827,1.0752822977052177,1.0234623599633519,1.0044934975146227,1.1834119306062905,1.392905656367255,1.1904695189957823,1.1389536139531788,1.0199055833894035,0.8873243429627381,0.8517935316886629,0.904507431168332,0.9086048223261605,0.8451485179896171,0.9377163872134582,1.0164640894753025,0.9826974057766416,1.002583280298105,1.2849257903096083,1.3784279123758436,1.1630276906307653,1.4425368159776601,1.628113293321253,1.6724593127193257,1.5329483509128556,1.2583411457079356,1.7281972385648363,1.354677598311762,1.1763546355960883,1.0676897812556976,0.9171330091237756,1.2608816610967748,1.3716636352301803,0.9204694114518992,1.143786544141872,1.4221940389213836,1.2241710781104596,0.8655716514523545,0.9869769732491595,0.7022661373256545,0.8805036683967862,0.7486449458711327,0.7812416347566671,0.8687821914195447,0.748208121990477,0.9759130991160535,0.8647048692006402,0.8678644574822899,0.7990554716252314,1.4335141651860177,0.8883940131802815,1.2916096198108706,2.02003678143106,2.240397020791365],[1.236590812512574,0.8614904767461385,0.8260749628315289,0.59698804162165,0.6308579601186768,0.690340049786357,0.5736197645346282,0.613064890246856,0.6016669463176791,0.506800517529689,0.5205415272671626,0.591611906960779,0.5082647156482175,0.49775620710009527,0.5362447424154402,0.5051987079372701,0.528088445223002,0.5235202518861009,0.6408075986404954,0.5931926967345328,0.6845107688608921,0.7809096799900288,0.933845938553059,0.9531864411727135,0.8465878615013861,0.7084386791135598,0.6322228766449198,0.5193246520771637,0.5079763707290166,0.5017230260020336,0.5362077218088146,0.4933763716569806,0.5380276952500009,0.5320186912648891,0.49205622461229415,0.5053734390550021,0.4686571276755662,0.5411335611515714,0.527965788003433,0.564711080290027,0.6932689341541511,0.6968801007866444,0.711583464640618,0.7397917816726387,1.1344615174853465,1.4032362359949255,1.5447300486983817,0.8729295906788321,1.0353170439726125,1.5940475757700774,1.1167274554747382,1.346716206349643,1.0627351120164876,0.9457287501521399,1.3966319483979,1.010137326634789,0.8828069287564156,1.1474577049677996,0.8776471860233696,1.5378870894298797,0.9357659645946476,0.7466999899894767,0.6597224158316324,0.8883549127786061,0.8610576515321285,0.668711735981337,0.8337123762603418,0.6441423535605818,0.7810389220972214,0.7384585533103032,0.8898395223778829,1.1724626708348023,0.8618842515940882,0.9828435260887189,0.6883461351842891,1.0349202732023999,0.6185358798767064,0.5730112656284215,0.5485052060711406,0.6438505925805847,0.5181114005793972,0.6805863130844395,0.9959009741896581,0.552631230460809,0.5827767127914801,0.4913022816403587,0.5221375206848334,0.6164114934121179,0.5108862720647723,0.5582658744559759,0.5668272011550087,0.8068064955597033,0.6695551565298065,0.5745866754542684,0.5753973355824447,0.6539958361144536,0.6934145215504123,0.5678495250053456,0.5700454046144124,0.7103028838015345,0.5619384083172236,0.6769933945656008,0.5529734260000817,0.5999871363270751,0.6476971372577696,0.6680120267349053,0.8387560661819444,0.7450326886319908,0.7431496638353183,0.863259830523678,0.6966573089146538,0.5649219401625916,0.5075709339459297,0.48883388809445383,0.5055735642553145,0.5069027419483787,0.5537628329831026,0.5608486903217907,0.7078933872643178,0.583206310245852,0.6505357251784918,0.577259412244204,0.5850281064533348,0.4783241117172866,0.48217664931302695,0.4789697121074588,0.7025450544452279,0.5796200277700512,0.6239875566482699,0.6120340447711577,0.7875454528806222,0.8361115775114345,0.6979725510052408,0.6253313097069948,0.595766172636656,0.5828949877958524,0.6319931267059294,0.5918590323630193,0.46467637878273116,0.46601338148759225,0.6267801738436926,0.785755561818016,0.5788389078108124,0.49902039413013793,0.4912652525524546,0.494059854270158,0.4923894240482097,0.5028784238152916,0.47450989786227277,0.5354834372459232,0.6408821613205726,0.6773343967961168,0.8899440236452585,1.4551370897384914,1.109353758251607,0.6749245058242999,0.5754671430527433,0.5833559537488785,0.5360726895646442,0.5849039412526024,0.5379530071782987,0.46732706482224967,0.47962093497435176,0.5222770239147084,0.5776406915479879,0.6618545304022072,0.7351400252533152,1.0902906780357484,1.047640400458785,0.8465694119240246,0.635708494194517,0.5360864281815348,0.5198736867724424,0.48976512326521493,0.4813458255109919,0.5517244276334647,0.5823991779198785,0.6338212557815417,0.5221475511555272,0.5557992315759731,0.5338437488850408,0.5707033604491626,0.6706955263147877,0.7536666198450138,0.6564415768545765,0.6505280516721363,0.599148847030791,0.8475332388188724,1.3566397248823245,2.2197961465100065,2.2558580354060367,1.5063695047664216,1.21646997809761,1.46987202404341,1.0149828608359979,1.0996089020161577,1.1560052975975221,1.187137091719453,1.091105569285823,1.0808950964024981,0.9551075612370639,0.8572387769432894,0.8482922512390203,0.8959244732169445,0.8824459594577121,0.9343687960774882,0.898000767273174,0.9535863356439408,1.0634320987614672,1.1866041701391319,1.2029459031145433,1.339868819579859,1.5159249875319896,1.540922656576535,1.7153772293558631,1.5375061461316228,1.3600111567962174,1.1819442927941606,1.0832386187861867,1.1251113424891266,1.3547767134624487,1.595753055617233,1.4299517300620226,1.4584250583855687,1.2231317784503979,1.1352750166744927,1.0677808264221442,1.1759688652742997,1.3034479138043478,1.1279914182710726,1.222963218190407,1.5120971617565218,1.5124074541433346,1.3304949425718615,1.5117942302664646,1.819445453005098,1.596551113520462,1.6181398088820198,1.2197074338427278,1.1616942848793401,1.0647452949899447,0.9477857152374984,0.989668970915062,0.989564389281532,0.9975509050496127,0.9337951062215825,0.9486061763307505,0.9699233569283955,0.9525648030856438,0.9435605568611303,1.1217816869577826,1.2943729643578952,1.201368571173512,1.1977225826524562,1.400844293055794,1.5827646675349283,1.3443271758406858,1.299008024670619,1.1750310330232001,1.039536079817537,0.9787547419910901,0.9968502739872556,1.0526121397075894,0.9852248375805741,1.0045376516298927,1.1146148943532204,1.108742024414237,1.0859134403885673,1.3116234845714887,1.4685475604184108,1.2672488338261017,1.4718049399263735,1.6573747317312248,1.7599146814834727,1.6312435286592206,1.4253310393880927,1.8472940883994768,1.5738963164068076,1.3890216470876293,1.159815231477389,1.0401027362477446,1.2443043533228513,1.2020821428889665,1.084147982623298,1.4266299463785757,1.6583020469454626,1.324654800362273,0.9200180592552816,0.9814097009552754,0.7154612981039782,0.954367280435159,0.8084838343926107,0.8874856455254273,1.073239209241261,0.8524729812720965,1.0924293763756465,1.0210146181086974,1.0266213931378647,0.9820265649720538,1.454853064677639,1.1329898084783028,1.3856489164456791,2.022883356262207,2.264653206759013],[1.1601456894663247,0.7938159616097387,0.8085309338047616,0.5424603187334921,0.5858168868982968,0.6625730433250793,0.5592596412472669,0.591805825158459,0.6266732636166106,0.5621076554801231,0.5938224186809214,0.6405252054264874,0.5572413042345273,0.59118196270254,0.6398754755181613,0.58895526675606,0.6221862249872312,0.6380331980245738,0.7141149800788582,0.66949491332126,0.7725078959801245,0.8564262393986511,1.0035199827000545,1.0082167119115064,0.8940771728029069,0.7668036162888772,0.6891612417825291,0.5907457107750048,0.5796147782619374,0.5630074290873732,0.6321864759084515,0.5461569876313341,0.5746004143913952,0.6019337581733906,0.5554154766192702,0.5812608322543926,0.5182537005572324,0.6160513198847802,0.589971793176068,0.6133852731460648,0.7363018315851446,0.7568671525685557,0.7827282983710343,0.8091446643551055,1.215589218084568,1.4549285549736999,1.6458627336480385,0.9707831081770166,1.0817161803658444,1.6403463005174266,1.2072985760468402,1.4005091665027234,1.2082282642811353,0.9775023626868325,1.3924013282996883,1.1126578438102728,0.9472936715775442,1.194954093459542,0.9431592041927507,1.6013448947149909,1.0103120521556517,0.8540100519489193,0.7511766759008572,0.9948049035230159,0.9574246338077405,0.7620021057459638,0.9263228494861405,0.728417674302585,0.8845083291691558,0.8124056787590542,0.9713838148563574,1.248622004508952,0.9297467492582127,1.0819865489745413,0.7577357483753745,1.128809873390623,0.707184900944923,0.6699181051309621,0.6315893675258422,0.7396792931296838,0.5796962609610964,0.7094315037956473,0.9690249001782898,0.590463658342548,0.6271880047052526,0.5324466299920687,0.5940800740372779,0.6621108942420616,0.6083393454613246,0.6367786663819887,0.6668908150761137,0.894341218812383,0.7803293452099903,0.6708904867692747,0.6638013240601274,0.7436118061540589,0.7584168196246984,0.6232848812735956,0.6142126222610985,0.7383331645229336,0.5749035233892988,0.6168718660854507,0.5749326112001006,0.5347808431646274,0.6033392256869399,0.5856443352493346,0.7445301675887861,0.6690068288924431,0.6570523095063797,0.7880128139281393,0.6219677778718986,0.5264038644160833,0.4933893637009016,0.4967474264134153,0.5469639554880887,0.5556146607370235,0.6193953205423849,0.6314429958709228,0.7705077319762562,0.6824459026333413,0.7399708180637812,0.6607123022728025,0.6441390684147105,0.5319832316714289,0.5092673501195744,0.4802674893273412,0.6700579095882341,0.5309887664198695,0.5729039911580204,0.5568229694208469,0.7423873820215035,0.7740639734998893,0.6713336563296052,0.5713585194954176,0.576924111336147,0.5504180627875068,0.6101625025343281,0.5808525062107032,0.48036535856048057,0.5183300092421045,0.6763374614788419,0.8377912897848148,0.6235013262805602,0.545390000878896,0.5482910752100093,0.5397002903432194,0.5370124777201869,0.5415588627530459,0.4843548184895854,0.5304975912091491,0.6068110044356574,0.6496253575521086,0.8242021734854067,1.4427855283342004,1.1280560009645169,0.666596469077529,0.5789847194701868,0.5524449760272586,0.5404677052335877,0.5544220946260883,0.5247961170601428,0.5147594317037741,0.5045661730780789,0.5383926129372006,0.5835836858262996,0.6541261925676893,0.7903800811419948,1.137652969902538,1.0558792096288383,0.851400061011732,0.6487084035096252,0.5381892631507504,0.5328609247113657,0.49422125866883754,0.4885227732006471,0.5189454080281105,0.5841949002907602,0.5945473399833183,0.5331080923493803,0.5373771255286484,0.5636844178001665,0.5401554795046518,0.6475162839290908,0.7704120654458461,0.6801703621138396,0.694331334149857,0.6301276897741543,0.9081271757453274,1.3610697647718357,2.2953269005806543,2.2654132036629067,1.6569736333937737,1.312185866254222,1.5423203345100591,1.0414775353997916,1.1065211021131465,1.1724674958270802,1.156401028021939,1.0343202016328013,1.036950836989981,0.8830089418730235,0.7860217121933827,0.7860128402401859,0.8112243644060031,0.7924754857120191,0.8607894865134623,0.8045438798344411,0.8537666644805182,0.9814454845782123,1.1372785948940922,1.1526637795791528,1.2965378733790112,1.4875668029214053,1.5094272460477394,1.7129764267409675,1.527557675879041,1.3266995546104263,1.101236512064023,0.9835677230382562,1.0473857695439632,1.328406800551839,1.598313460310726,1.3725121674811687,1.3630427045247522,1.149917714068863,1.0563756333634404,0.9973010033832242,1.1371256477466147,1.2560118536944986,1.0556019601722562,1.1889475173248607,1.4962737594424216,1.4674903759423434,1.2953883516170996,1.490050800538775,1.81175730026277,1.557765243354095,1.5861755112544005,1.1560908600685529,1.1336686834172862,1.0315628672838113,0.8791651189859047,0.9198132113006315,0.8968270310207882,0.9044456793180714,0.8486652353219116,0.8564412938437608,0.8743692176086807,0.8667638621161861,0.8517289894034596,1.0445375297520365,1.236028838840364,1.14095738809651,1.1181836380312384,1.3425785440994236,1.5624281337095964,1.299832480510356,1.2526587469199806,1.1028105720115737,0.9527055768518571,0.8795576220060498,0.895296177726788,0.961235522950921,0.8802187219108663,0.9147970488638083,1.030798040008302,1.0150476791466525,0.9870495715993413,1.2677262801954385,1.4120599626337005,1.172841853539238,1.4025725628731385,1.635490254063158,1.7091937749532877,1.5559747535959727,1.3056408854887365,1.7686092439893695,1.4257514316164728,1.272221836040956,1.0752322993041266,0.9544911472756826,1.2199914406584798,1.200385898550014,0.9754778676000807,1.2322948925376929,1.497295055044585,1.234537273158209,0.8467465825955107,0.917041438772555,0.6581489845292752,0.910841454491205,0.7447205775513143,0.8193634871129948,1.0066233873928692,0.7942754439203722,1.0434155175742246,0.9562637760582336,1.0081322609025032,0.9304050661624357,1.4016220717071566,1.0691869739656328,1.3747720023975913,2.037502154268285,2.280378949317635],[1.1609204094380474,0.781324920556638,0.8892377885841475,0.5804001641258504,0.5975521021823358,0.700398604353707,0.634237780028662,0.6480746858549523,0.6824337095104869,0.6407578484062039,0.6588892126919376,0.7086469203833484,0.6430154901148536,0.6842111492397863,0.7394451668359201,0.690359284470625,0.7069325508204833,0.7405177015751976,0.8310616146410339,0.7919138992358538,0.9010825173006474,0.9938182015354344,1.1288734305743513,1.1165315300069232,1.0248074035267074,0.8990953189985766,0.84141512832938,0.7102048001581543,0.6990330508940619,0.6649977445277989,0.7305505847163115,0.6556368243401699,0.6718742961504306,0.7236649924041303,0.6904991035897642,0.712965343063143,0.6568461998165676,0.7310325646953134,0.7244953885431001,0.7746391753713365,0.8737033834547103,0.907975882849644,0.9361234950931401,0.9443394839894143,1.3151696780217157,1.528800670279154,1.7469128851233946,1.1048772700292664,1.1843376129743608,1.72602641906514,1.3251451669884127,1.4576062737502864,1.3550215933272898,1.0945399823696778,1.4740281062236598,1.2486096229331698,1.056899471806586,1.2779839655545175,1.0654681222259343,1.7018856151954322,1.1182293287356826,0.97034837357041,0.8875946815194501,1.0983788772028702,1.0840723224807485,0.8905576873445828,1.0181647075098066,0.8276894246497583,0.9610108089963155,0.8842535825197217,1.0222705778562784,1.3352766846078266,0.9801015284948877,1.1488901704344958,0.8510648309354165,1.2032537576084525,0.8172587913485144,0.7859906214719329,0.7690729483246257,0.8697127030254893,0.710464144377101,0.8513737687511567,1.0253130435057356,0.7763234422605607,0.7763801268831793,0.6899652618129885,0.7448024153968621,0.7839418874512537,0.7401448542947842,0.7636284071368349,0.7837080768095467,0.9957550349973511,0.8725440849644098,0.7576843107734751,0.7432623584032565,0.8031814746853086,0.8222647700111458,0.6953011705670439,0.6842266766111663,0.771301298967511,0.6703568714398911,0.6613255136563373,0.6523208124057074,0.5813677401957201,0.6559532873667985,0.598102622872132,0.6874386924350068,0.6872442317279396,0.6540240974649449,0.7522123599610862,0.6140470276859133,0.5832281003205502,0.5792370117951825,0.6018817978686059,0.6385481082854928,0.6767847216910238,0.730185468572165,0.744650647421197,0.8581736689616867,0.7818610060283872,0.8311185130558658,0.7658090695640156,0.7570641293821159,0.637158646520447,0.6112893332340487,0.5866957314278182,0.6720991052313042,0.5982260511604657,0.6031208155278781,0.6118490285079805,0.7652518291175431,0.7728567216188644,0.7461108712818575,0.650487108476225,0.6691196172382554,0.6420848152926191,0.6951530042102778,0.6709625839861372,0.6203922688207402,0.6610446395242134,0.7765582134365971,0.9441358088968593,0.7416151155816522,0.6766553933799417,0.6831444474338491,0.6626272548929836,0.6570409444832838,0.642787849443212,0.5849957072264004,0.6215340123445741,0.6648929107579127,0.6914004663607485,0.8354916776013219,1.4336501983213392,1.1728877145349494,0.7040856498060686,0.6556520236889629,0.6149600943193154,0.6246862629388092,0.6127998025736078,0.6227897650171731,0.6440795826757094,0.6517214156473587,0.6921721180455138,0.7265066885595558,0.8043684283562073,0.9333745212800321,1.2582476913765475,1.1280160191927946,0.937222884365154,0.7666921990891621,0.6642315391556476,0.6640140100620242,0.635187639495892,0.6328434154558062,0.6301851010155778,0.6761572522452483,0.674669279125134,0.6792031898006792,0.6628593882456495,0.7089049747283787,0.6180075248148258,0.725414540719707,0.8651287149453328,0.786598501809023,0.817559673772493,0.7684601034650483,1.0417962417917184,1.418897018612599,2.4195455358635636,2.3590267066103117,1.8639520131878453,1.48447861973005,1.6300302168235994,1.1235264818171606,1.1626565782534397,1.2098841636583797,1.1716295440230453,1.0178529269140681,1.019782429970445,0.8347135702197727,0.7061621348088555,0.7179362218517121,0.7110231355407884,0.6756377028925659,0.7494887721862293,0.7021686198534024,0.7229049057094796,0.8354956066557157,1.0426325533108665,1.0545999421553083,1.1632143172766163,1.3653349910813233,1.4235905962796704,1.6199560232876828,1.468378813061851,1.209184515602427,0.9672409646457595,0.8372308888411393,0.8884577536000159,1.2026672057900716,1.561863376031318,1.2824782508816404,1.2711487872442266,1.0675350400888488,0.9748716856262392,0.9162324517206716,1.100684966071939,1.200912031822639,0.9965277229070828,1.1364818517014414,1.5101623855821875,1.431174981480248,1.2544589679093159,1.5231820001900263,1.796422504811412,1.5234361411998065,1.6210388980510184,1.1271206209057798,1.1380289632887968,1.0320322106598145,0.8180688333136448,0.870264454110256,0.8038398873208842,0.8582368897840376,0.777715919049545,0.7524902347745546,0.7396157436188485,0.7655918917463962,0.7142468397638265,0.8813582310929081,1.0901477814170022,0.9980346518908357,0.9483703350036077,1.1789928236839284,1.4348413528898771,1.1459312615743609,1.0797132721725269,0.9253813508687707,0.7770049040987691,0.7358481259662856,0.7795329031674317,0.801885083990044,0.7325380504762985,0.8173757259471038,0.9151713662795531,0.8804298730024717,0.8851782570156401,1.1950229350995136,1.3159002258422734,1.067147735600734,1.3409474516762117,1.57958242979984,1.6165131949608527,1.4424165591919649,1.1486495130706054,1.691121528789494,1.2761921013954372,1.1384003709358843,1.0129762218507268,0.8527742470107527,1.1941128784261423,1.277159456239063,0.8295260334167569,0.9743231026234016,1.2909151045858172,1.1435236295087885,0.7533282839066008,0.8716931886319813,0.6401182580813316,0.8690244974343185,0.7001324594570104,0.7261768707300283,0.9600322625463281,0.763472997208956,0.9896731796708145,0.8864390031626648,0.9895258159389204,0.9310915298677932,1.3548854332192517,1.034557386278503,1.5272053330277469,1.9657309040286688,2.2866780920803964],[1.2486902590883096,0.9529322570114576,0.9398225000625386,0.7972428969629315,0.7759390726151616,0.8648867357018581,0.7981236573081649,0.8122239672277571,0.8402442427323585,0.8174747850523896,0.8507416436714741,0.894889211771122,0.8355356877691563,0.8633028842128853,0.9133515853497723,0.8835816466430059,0.8869911314011635,0.9357207892481293,1.0180956051637247,0.9951540757241281,1.0921603765419339,1.1815003837421374,1.298937242325213,1.2702382829680168,1.1907417724768763,1.078103477194697,1.0256233603203837,0.9165958747263377,0.8961447792260591,0.8596249104062151,0.9216986764442725,0.8546165336320938,0.8775551282683877,0.9140264965436784,0.8864688660613887,0.9122571228008711,0.8532759724824476,0.9442373072002131,0.9306496385597111,0.9940950437844089,1.0726487277407966,1.1043302515401123,1.1391692325857876,1.1493774613221635,1.4630196994405036,1.6618956184644469,1.885026979043289,1.3026619476876027,1.3898017377402332,1.8627402243836804,1.4867467174393276,1.5846815658691698,1.576666946621309,1.2499204843022131,1.5699046009515323,1.4151464049218636,1.2322474491624342,1.4308967461235673,1.2485480101718893,1.8495614278806385,1.3116476226058715,1.1592393949519713,1.0882016955791538,1.2939223225708267,1.260328970299586,1.0863975610246859,1.1994588851698433,1.033544097771845,1.1318875120992755,1.0579981859143979,1.1547716092124576,1.4383703292808403,1.145597172543486,1.2974120212091618,1.028818128460985,1.3914243614742616,1.0381057790450205,1.0035726073759077,0.980352941214866,1.051691538409944,0.9328102325986523,1.0269175164657007,1.1601836328853503,0.9525853197015823,0.9626769265430251,0.8871854642863316,0.9531246561241911,0.967212439941181,0.9456202103688082,0.9316046360433659,0.98185546908219,1.1631839521872487,1.0518972951135404,0.9636056287251485,0.9304171372005703,0.9901747977702169,0.9861381531561966,0.8995228086553473,0.8820802669392848,0.9543161707662752,0.854532245621419,0.8063465664394762,0.84922119911846,0.7556410860370767,0.8009056759658079,0.7491955554346248,0.7984202531984419,0.7930500656190502,0.7818596281014616,0.9065260255525112,0.7798504234286913,0.7621850509060575,0.7535545481080939,0.7882630170572212,0.8106779109252238,0.8428000292354729,0.9058300948935375,0.9390775123876567,1.063841157268213,0.9759190085772592,1.0010769808792044,0.9259840842172561,0.8957178284906584,0.8140448464609383,0.8089854049341875,0.7697696052063264,0.8235072840501142,0.7614003061036355,0.7668795256641014,0.7555159717254336,0.8786005580820657,0.8735330421999189,0.8535795678130118,0.7852001997042025,0.8107919712091223,0.8036492141019465,0.8388339596955317,0.8394427545308805,0.8086650506044426,0.8514510349128382,0.9762779981729859,1.1074334961388554,0.9585328486223893,0.879627091977918,0.8991607459568386,0.8660842426361756,0.8537204760499871,0.8274782120514191,0.763125193377395,0.7855287642459441,0.8142076481379467,0.8678270254609867,0.9827850138938056,1.6313067274456747,1.3213653925436568,0.8721236218327865,0.829988323736126,0.7840331896838303,0.808243639682091,0.78570153171191,0.8102009107937338,0.8318874325614882,0.8480884751277088,0.8831550166868194,0.9173198759003665,0.9617283022106361,1.0684040667460282,1.370720666467626,1.2315003181412976,1.0750965523795146,0.9159845269240323,0.8338910009900986,0.8393862223606952,0.8171531973485153,0.8229626249355877,0.8106477635973531,0.8735422934693503,0.8489925905266075,0.867224103398038,0.8296420860247585,0.8870625971514158,0.7830870009361782,0.865800906051123,0.9761308712224656,0.927155952805994,0.9891599932949933,0.9645396059580849,1.24038579678551,1.5553630884917535,2.5743790494558825,2.5146823573753134,1.9438115711020723,1.5685694717118188,1.707959439821412,1.2089894758644646,1.2336523643626498,1.2779368271582447,1.2481339077726983,1.0936933037391454,1.1505309407635071,0.949382202954103,0.8644018698528165,0.8820494463490475,0.8561641922997076,0.8248307329919528,0.9040395174314388,0.8403840006735304,0.8651622443556979,0.9822303038983057,1.1570927820336603,1.1487395697714102,1.263511761965345,1.4869351530369463,1.5198433654070356,1.6647945301357747,1.5075870086561298,1.28616190606831,1.0628155071972294,0.9453594786789649,0.9991108924794568,1.2167059036703909,1.5873811827138904,1.2696237130413455,1.3630709542297765,1.127308919467008,1.0331596621004846,0.9942592138268459,1.140888359122242,1.226820700442849,1.0581526944246955,1.1928747398947561,1.5165860353348726,1.4620119039423694,1.2914464497559541,1.5359793484070803,1.7788185462559276,1.5452526701384743,1.6491008523032553,1.1786477276467378,1.2113860286051135,1.0925267712571411,0.9280691173682243,0.9897990844378142,0.9164983826499198,1.0055717517124918,0.9178486699192441,0.8913943730096693,0.9263399781463947,0.9422007375176888,0.8784261769763396,1.0467859078829658,1.2389047460030251,1.140782163891423,1.0906602039210354,1.3241266706746717,1.5610472650559493,1.2725450117546104,1.216178850380149,1.064502768067671,0.9183877956830676,0.8600667259749484,0.8675490479199507,0.9404406066304872,0.8697224294801602,0.9073298294236659,0.9891323091620915,0.9833535109379935,0.9722867165473766,1.2092073168918107,1.328654793883693,1.1292039173065473,1.3694664763224973,1.5826709420633862,1.6358687168441108,1.4786285682199034,1.2415928667646075,1.7186372394619704,1.3758576633542317,1.231775287119035,1.0931482636953493,0.9634795481784257,1.230807150058513,1.2496346203270308,0.9751744979630524,1.1602008960870125,1.4611636237303327,1.2653020704064903,0.9127662992874651,1.0004204984024752,0.7954420590255469,0.9926475102326886,0.861982771202372,0.8970369316435273,1.1130306423316731,0.9192688033110544,1.1138524478675205,1.03133841645728,1.1358908067342577,1.0837001524210552,1.375879965656986,1.3171593411917089,1.6810717610836494,2.048740704781681,2.3776688253406264],[1.2377929436272572,0.9160777334652899,0.920331080229176,0.7524933087499075,0.7713596382221005,0.8664405345108683,0.8606209733270942,0.8790444132865138,0.9381186437663771,0.9426637616040353,0.9892011011852585,1.0041397015104225,0.9736147627765896,1.019001085918109,1.091711750084133,1.0666237476837446,1.0840604882372795,1.1558597526444816,1.2661432990253574,1.2440804860647083,1.3559406729060814,1.453980217417587,1.5500290663624023,1.5447809583804955,1.4789299742169038,1.3379362288598293,1.2910537410569536,1.1488432774592812,1.1042569495316807,1.0644415637003124,1.1323085256724765,1.0388686805962966,1.0713822507091237,1.1002294219094686,1.1048260035019064,1.1478478253397022,1.0707823706342723,1.2091735951136773,1.2148054976249816,1.3254214561095796,1.3807433340616972,1.4225258786556556,1.472915004798364,1.4744005352061125,1.7572138363787135,1.902872987999978,2.150297743424041,1.6263074907981965,1.6498751638114273,2.1132964043316878,1.7964184203353963,1.8150478140774313,1.8675258421646945,1.492099206777485,1.79798676996922,1.6348708295895722,1.476306081915981,1.732636362804384,1.5208828498304268,1.9637301169644539,1.5392907487114826,1.443521022420816,1.370638654099599,1.558551347509411,1.5628288121483924,1.340566759013176,1.4035177360826612,1.249713318985085,1.3198673878064113,1.27721666816851,1.3294110621401878,1.5805292758579124,1.348280842743435,1.488858012267167,1.2440341013379363,1.5719919997487628,1.282359360000213,1.24230810789076,1.2367240473397947,1.3076532501002178,1.200621248463836,1.351302191713047,1.336187770155937,1.2537980371176805,1.2710345441421032,1.1620370236347128,1.220631477879023,1.1963094246282293,1.1916995687540692,1.171151599165295,1.2136800634308569,1.3609715645916556,1.258087066254104,1.1720329293493381,1.1226034354498764,1.1769337639257598,1.1397548993491935,1.0589373458674818,1.0126724936457103,1.049463674518554,1.0006425280370563,0.893200164072077,0.9924152552895139,0.8622903772588868,0.9139454611782267,0.8309056476700828,0.8368317920985999,0.8440374446992833,0.7854944620523887,0.9116135530226699,0.783705474358204,0.8295981213728787,0.8436961086484195,0.8987211669825771,0.9605275572216723,1.004166590152672,1.0924119410413473,1.1523457070676595,1.3001351616573233,1.1672648042710803,1.169644018010838,1.109757130238812,1.0562391738490922,0.9520996314627413,0.8915016037077923,0.8578333798948063,0.8541327632206562,0.8444691309508628,0.8039943719948984,0.856034265200549,0.9325356998677106,0.9480132614679262,1.0238819365058835,0.9432926288921852,0.981888102493985,0.9391446573373633,0.9493803467698191,0.9695254197824533,0.9877891080100958,1.051294904155977,1.2361808271000234,1.358640479615202,1.2035944189568837,1.1209898831592022,1.1587548535225365,1.0914261985118625,1.0563965211067976,0.9841414117919631,0.904332229111802,0.8860232601763591,0.8758759103588943,0.9452502782026996,1.0493552370142265,1.6468488605064535,1.4053268213102235,0.972265259319172,0.9373051784275725,0.8632326754340474,0.9305478732108763,0.8764871110922257,0.9719400963553065,1.0336909850849427,1.0638118216360484,1.1280386451789,1.1560564813558125,1.216866782942681,1.3201034464630461,1.6049380752619993,1.4128982445402387,1.2566657508031909,1.1191688681435812,1.0382137832381075,1.0551249680903825,1.027223478622169,1.026152379879905,0.9729753005834543,1.0310554197095574,1.0156784767908809,1.0844021631120382,1.0193359154532908,1.119944343383539,0.935118497709678,1.0346192993787273,1.179814939461075,1.1603628518799893,1.2411620696376024,1.261360890477441,1.5147321455688565,1.7769820731215549,2.820212223122202,2.7458494633808725,2.2120672472373424,1.8619370502372,1.9557310937467787,1.395968615241084,1.309395596996615,1.3536571039180108,1.2856247924508604,1.0892201563697705,1.1072951078048843,0.9005215380244446,0.7801626558840629,0.7925270741761322,0.7510297355981641,0.7047148647193996,0.7812236763583129,0.729020115745554,0.740302578689217,0.8557335449113073,1.067269155261865,1.065470457718237,1.1793743570189832,1.414074378631928,1.4707978920941562,1.6265490974466887,1.465772392493906,1.2163323663107206,0.9797831911059318,0.8381802164633081,0.8877029393400796,1.1407851349049885,1.6035413358974036,1.2591200881994176,1.2747524762826754,1.059211406037499,0.9686212161543185,0.927353802351355,1.1572903298485078,1.2199985939035036,1.0147305637676252,1.178567102798494,1.579284476972364,1.4706972635479052,1.291691488768959,1.5950165006852073,1.8209159725414006,1.5616193231091782,1.6664159741795597,1.1722774544736747,1.2208500233152262,1.1110897447493107,0.8604241443662093,0.9333890320226793,0.8364823227070333,0.938426618445955,0.8323656515103002,0.7867676829770168,0.7932228004632214,0.8238463643388796,0.7554728209093031,0.9237664557516362,1.12614476591554,1.0308175769002899,0.9702804267804828,1.21871752234126,1.4801619588244417,1.1838820375888226,1.1166473865227093,0.9421241141845056,0.7747333566417672,0.7236029241611186,0.7733858323646677,0.8167065816500041,0.7444812900036571,0.8187159491813546,0.9003773185110296,0.87544248835434,0.8940532130893628,1.1642113675893337,1.2933232148538922,1.0519504998535196,1.3114049555189302,1.547819440370215,1.5920360363340418,1.3956456933843677,1.1223839098721482,1.6617190763279424,1.2717670048587955,1.1494892462894952,1.0336125531761167,0.8597731658898172,1.1696730499926722,1.249730767540177,0.842038862798917,0.9901700042808211,1.2861105287731258,1.1694136443209588,0.7953623586607336,0.9273006114775019,0.7421685892660643,0.8982501422613326,0.7781738391277245,0.7914820586281089,1.0171825844748539,0.8341048882805577,1.0315063313613115,0.9441144459569943,1.0801006837860623,1.0408934046876117,1.3295383694836023,1.3091044276952324,1.7517265979319738,2.0256429483740344,2.481905705356183],[1.272695980822267,0.9618715867120958,0.9299954111738491,0.8717724421011879,0.8331046185528607,0.9735187416563488,0.9392788399360267,0.9570647754695945,0.9946427893090706,0.9726101257143696,1.0057666922538107,1.0475593674355954,0.9853883077970138,1.0153469913540707,1.0677733258869937,1.0407715683226288,1.0399960914074222,1.092058081091604,1.1793373388303738,1.170640174603699,1.2568012865499418,1.35119586422187,1.4484124039700317,1.4261126644860078,1.3558077675979523,1.2411161658151875,1.1977992953804584,1.0751417210047296,1.0529747923857598,1.0215009412787797,1.0772393979958923,1.0119791095090946,1.0344815678015302,1.0698639918956194,1.047329297445861,1.0740101527482913,1.016240347970254,1.114934669152768,1.1196363396764164,1.1966763717233224,1.2700399193652627,1.3011610488146526,1.350294147269364,1.3274743007695093,1.6288338435304497,1.78731795731472,2.009351670293552,1.4733925240010792,1.5271427571271248,1.9556705956985228,1.610188022158211,1.639358054603025,1.7808243333729459,1.3524147430671483,1.6905171425008485,1.581364771069381,1.3890448977495864,1.585373381798048,1.4099740297274936,1.9790757665799459,1.4636982281913358,1.3072164320240167,1.2350642571016914,1.4344982844806322,1.4122037510639014,1.2445103871845102,1.3403334568514966,1.1897893443800616,1.2601535143924347,1.2130311287477067,1.2598159558616258,1.4988494615084489,1.2711127097628718,1.4444460361033864,1.1792560159181078,1.509154611449104,1.2032492197238651,1.170986673871415,1.140786992672652,1.1948832862230683,1.1243817831569207,1.2329504976766823,1.296256515850304,1.1171376013376602,1.1551284073491,1.060137290002623,1.1330778637655508,1.1412389934759384,1.1148068090789276,1.0898341334066806,1.1550249276903877,1.3070471759834421,1.2056938063894715,1.1315226334454387,1.089950178642996,1.1464573724667357,1.1288833178673268,1.0521704038155537,1.0297187348098176,1.1090578625211136,0.9828818951766255,0.9290485446900448,0.9890087665985579,0.8804325241079092,0.9027372902535511,0.8414712659731685,0.8548010024426304,0.818574947443144,0.8093648963620479,0.9906320555879552,0.8581586792466537,0.8625127244155292,0.8954512833698017,0.913057402587598,0.9555840546125344,0.9765654962036239,1.0400649069361012,1.0791598727131033,1.2125037898468525,1.1240520986034201,1.142395996206067,1.0686184380897117,1.0285109283740592,0.9523673930500798,0.9292567819013093,0.8696937667189569,0.898716119100674,0.8459268631792115,0.8182350977179865,0.8205440640057933,0.8783718199585066,0.8718372816950193,0.8942732915956856,0.8590314290299835,0.8813607766810372,0.8942428002271366,0.8929370055136125,0.9029728883335059,0.9136531789027489,0.9932194787172436,1.1484236784440276,1.265177463855079,1.1125853565085684,1.024265982404591,1.0607558976416966,1.0235291133355922,0.9957738316556051,0.956281024383463,0.9021587453346007,0.9181076859793429,0.9405517234701597,1.012080351797819,1.1106754928469618,1.7698796796400666,1.4842370157077733,1.021963932981345,0.9716808277978957,0.9142277052334008,0.9454612179705448,0.8993468825521376,0.9142731585114585,0.9837957452612659,0.9848632534789852,1.0297303348516436,1.0249094061355384,1.0861930741584802,1.1752931372204305,1.4493083011649437,1.2780786359788825,1.1485570389380664,0.9988415345385561,0.9249928482708487,0.9469795898402319,0.9381062056591293,0.9515358522694543,0.9255230193452384,1.0049745743784582,0.9901700879576083,1.005292699368463,0.9515590450228357,1.0171090417964845,0.8901652466963815,0.9515716080003829,1.064363111241222,1.0239728040531149,1.0934508584718532,1.1096269187334276,1.362416295277326,1.6500275423491557,2.7771405527804074,2.7239491008895795,2.0210951338462104,1.6894858361821379,1.801309650486843,1.2506739527586168,1.1629954944660144,1.2198820074844012,1.1946950943001622,1.0514852959163672,1.1148532559205164,0.9178131017274914,0.8426418485768427,0.8477386272010279,0.8199551845279381,0.801940132461405,0.8952634132952626,0.8384243267311543,0.8359155586282857,0.9588730062461986,1.128418410758158,1.0929177958241134,1.203731176791296,1.4451516772844308,1.4624294053060725,1.5727766320635361,1.4436408897702036,1.2656938181905333,1.0087905218144442,0.8945462000073698,0.9517463977263017,1.1174617964924383,1.5897729740531592,1.237128747026863,1.369015186967388,1.0904895412389837,0.9647220028324619,0.9437356823039976,1.0626345734783844,1.135343563104326,0.9982721861664763,1.1108112402927144,1.4353045419044197,1.3881408352709474,1.2129125919175596,1.4937491170661747,1.6926258131348793,1.4677453348847977,1.6021552176872293,1.1280874458204622,1.1622444449015292,1.05254820784833,0.8988273301705267,0.9802937856969757,0.9346792372202417,1.0391371035961545,0.9258085772625908,0.8863517951726965,0.9445870678115841,0.9598904348180657,0.8958393414508439,1.079274716412303,1.2696715022352691,1.1579118623083762,1.1013123543634435,1.3493494186627855,1.5764386848397574,1.2637164516553472,1.2008896554353299,1.03643542702282,0.8987736757793834,0.8385215458931722,0.8393525401260269,0.918032264588812,0.8384502800151444,0.8750261992629845,0.9443066657470973,0.9403662777066331,0.9346406802623322,1.1437129908506893,1.2946001366936892,1.0857722060056323,1.2956665342400526,1.4906887750420934,1.568255678706538,1.4129901159231855,1.1967638127664442,1.7016396857644684,1.3723467309819442,1.181273641731166,1.0232420264134436,0.9091643832563605,1.166815027347986,1.170376787796282,0.8993951044890451,1.124273139870669,1.4434959046570581,1.2250289836616814,0.8530364036414642,0.9373110599233649,0.8036090905507048,0.9724418153149011,0.8715844503212281,0.9043972384692909,1.1830199204147607,0.9612218811785934,1.1212290686605861,1.0695747876075345,1.1836115318666474,1.1489780607791584,1.388916464120222,1.4783626755363215,1.8724801379843596,2.103920837502965,2.5994764797017798],[1.138431657408174,0.809148658476224,0.8567733900604344,0.6722138798488987,0.6841274918945615,0.7575807408830789,0.7089927909065538,0.7179626738956912,0.7394807463425506,0.7089987663159075,0.7243927115027943,0.7768510137980805,0.738129167878089,0.7438116064173121,0.8002325417916769,0.7760458867731577,0.8073192854506946,0.851350959090366,0.9470939556841652,0.9375291719316985,1.021771112321002,1.1197681381184168,1.2282346114936078,1.2092994843850773,1.14677545363099,1.0276923992048528,0.9870303129511708,0.8667536226795673,0.8323992368724233,0.7908684964896892,0.8173805494103178,0.7591295878820576,0.7722306623845681,0.8171542188931029,0.8028017545219722,0.8395350682309224,0.7901228448054656,0.8946721830368116,0.9218889122020815,1.001108726829184,1.0862261313956918,1.0759872474239798,1.1187765763886124,1.1691481313900367,1.4765156695001345,1.678874080221027,1.8913568292400411,1.3194768383586104,1.4183130929313537,1.8681965556637419,1.4982827660984848,1.5921186095080129,1.5885249309894114,1.2333665285600452,1.5665474880832115,1.4239993830221025,1.2403704570501026,1.4348595854258441,1.2448235118816784,1.8623118858607577,1.2922347316614853,1.1053048121680717,1.0167948346114462,1.228778277842173,1.2069829157923162,1.0303170720475323,1.1326855194988383,0.9548458985265053,1.0444604357930285,0.9676146265508385,1.075072023298435,1.3563556538694217,1.0506304988451458,1.2231693481548636,0.9409729789102383,1.305889412226208,0.9661662296683127,0.9213191158434085,0.9053534235118422,1.0063829929193464,0.9017541634395402,1.0317050707780273,1.1649174446061252,0.9479254699707346,0.9763730291984144,0.8632092175474477,0.9228836968692149,0.9374923572313575,0.8871618215490314,0.8580576743754227,0.8935545725823898,1.0597699192075567,0.9410633550463707,0.8443614054699459,0.8159467489340102,0.8708103723379529,0.8670299421636255,0.7772211399645466,0.7649113322052639,0.844528989725014,0.7513283988198424,0.71685511404042,0.7843375752162377,0.684551176845707,0.761727892692642,0.6920628675810025,0.7472380051846046,0.7412567145151447,0.7063293481920505,0.8567698824254524,0.6978245685524395,0.6981619916318724,0.6761217931264732,0.730535958283195,0.7401581858312242,0.7840104937444844,0.8522665654743128,0.8954926080133192,0.9959817064011683,0.8938352763824102,0.9131261167951106,0.8363528268155794,0.8207547681318573,0.7325350914997026,0.708510372101509,0.7063188852621527,0.7509344669858665,0.697877613027228,0.7061855537667973,0.7141473853639275,0.8453800774773848,0.8454915100979244,0.8622984436898942,0.7834719822619499,0.8204747155607178,0.8013893729051288,0.8272282484314772,0.8356515719136096,0.8109381728606695,0.8587333995804094,0.9943242798594017,1.1250054373251832,0.9432078056854631,0.8660864024221585,0.8910337394487554,0.8419535450661193,0.8249064626854679,0.7783544789788304,0.7072776345810168,0.7088937210091619,0.739008711604289,0.7790356620842456,0.9179317566000402,1.5470085430824438,1.256379148818757,0.7800340486463707,0.7346647932511983,0.6950939367994746,0.7320029324752199,0.7327897101480415,0.7701841363468863,0.8123298699024902,0.8513696813483362,0.8899257823300462,0.9485197976555841,1.0093735601955154,1.1096940974455147,1.415128268789915,1.2791474458881424,1.1245178266866551,0.9508863406478483,0.8578970433136099,0.8600091906241201,0.8196066046393906,0.8064210615055789,0.7759001013426735,0.8269598701950888,0.8128401581247006,0.8490509963373579,0.8202450478633324,0.9016067600788898,0.7682309853295145,0.8833154808169604,0.9996983998159751,0.9557156294124455,1.0232034848338663,0.9975416993015909,1.2850384217990913,1.6192979343331182,2.6428459093289094,2.5996686564893157,1.9408715047377296,1.6162644168739397,1.7556237976620606,1.232716336868825,1.1962127676451282,1.2423819564125447,1.2087122953708567,1.0434729145047237,1.0809535623048607,0.8645183084853005,0.7472154753988545,0.756344142462772,0.7374721382559926,0.6928757938209363,0.7697650375603177,0.7156492008509651,0.7209560528474143,0.8384575877710667,1.0374475216305443,1.0248042106507234,1.1313384233395847,1.3617681923810616,1.4161848779038795,1.5497144790471757,1.4099109286074605,1.176667780615473,0.9358937080839287,0.804752991094144,0.8531132039627985,1.0496331932741334,1.5180020764299598,1.1769400802940795,1.2904489176970382,1.0249062538259648,0.9206488894538801,0.8878884578860824,1.0360498473509432,1.1164433703247096,0.9688880656885976,1.0933391310602176,1.4384747285599078,1.3920285514938284,1.2141472669252378,1.5035686440274134,1.704306356496201,1.4872693140127164,1.625329243430486,1.1171272973754598,1.1519928299972944,1.0302240913702279,0.8365370091788884,0.9079134530943826,0.8140173115709322,0.9297827205928082,0.8277837809831573,0.7660352094414812,0.8055478830459517,0.8304085984240457,0.7508890025841679,0.9261642388924375,1.129492823163087,1.024485492176031,0.9641932361076483,1.204813873309456,1.4559834432090923,1.150706416232311,1.0830899331929564,0.9158328697533076,0.7584781486449892,0.7106654725054576,0.7340623423046355,0.79569633170116,0.7219920002132012,0.7885069332868961,0.86580382897805,0.8516062855137114,0.8660830381359059,1.1110091451419357,1.237631412754702,1.035345007533821,1.2867546596851684,1.4839714012673073,1.555467449425917,1.4004823582565404,1.1564443158081743,1.661697372449887,1.3343039535510868,1.1107993139807135,0.9761558875321182,0.8285512127382716,1.126507392175338,1.1792141273628645,0.8258618633778677,1.0573697195465508,1.4086955177323166,1.190509952272741,0.7869592169146451,0.9021603572419291,0.7060394284838406,0.8745670246280068,0.737187439867763,0.7646848832402732,1.0196528613919273,0.800593408264915,1.0022567688463089,0.897117091804358,1.0162686892753274,0.9827264739966811,1.2808645322027872,1.2173461571795683,1.696094905062314,1.9336825937199906,2.384496141296284],[1.1262951530384075,0.7704235604789074,0.9224442119711295,0.6112296777388727,0.6219955708946915,0.7213264833862678,0.6575197147330194,0.6467732890951737,0.6789332444666669,0.640510847114064,0.6623101304324449,0.7206077625333512,0.6700140852555385,0.6827719666418688,0.7761932570639329,0.7219063274433066,0.7400249796453847,0.7935406519262269,0.9126452700070157,0.9041597956389907,1.0089827717046438,1.114064087013189,1.2559324771112261,1.2340739575409914,1.163420613707008,1.0098365223860626,0.9620737467996996,0.8019957958989518,0.7633520782664197,0.7200510714438446,0.77530580244971,0.6945566125758815,0.7186909045730202,0.7679204495903265,0.7558870517272338,0.796376963648132,0.7365627688778669,0.8579244700516011,0.8884650040063664,1.0126921115740004,1.0870289387501377,1.088293697045276,1.1564747730926186,1.2133761372881453,1.5251188685341897,1.7197070543781199,1.9913479390489426,1.3972224304546026,1.4441093265768503,1.9499430905073245,1.6206839364739893,1.664173822083157,1.6964243181438459,1.2565909446439958,1.5518253917727143,1.4839012889031227,1.2562343529121722,1.4984580049119578,1.2886012851621746,1.890232116283067,1.32177022746879,1.1449868136199386,1.025954643736217,1.255479763820866,1.234786687305651,1.0237342786834676,1.1008798372659128,0.9163046015561583,0.9964683118227868,0.9510738957303413,1.0514304434295298,1.3722869220385017,1.0397194719826246,1.1950811785399857,0.9224067600011258,1.2510444559075127,0.9553864933682902,0.9068077980395381,0.8865531592386117,1.0157087397019406,0.8845966148261716,1.047661363966026,1.082535288804539,0.9737259223008137,0.9581729537638949,0.8365477855488445,0.8926844748448776,0.9017750256517889,0.8591768002533461,0.8342704335998641,0.8613277772110669,1.0240751063187166,0.9113011769930519,0.8152389517956986,0.7785402901154326,0.8607850514905487,0.8338176752388942,0.733814365004569,0.7056609636421454,0.7688257548743949,0.680207344608208,0.6407962842097611,0.7143981966813674,0.598570715965035,0.6872053523433165,0.5904149291375344,0.5991854165622367,0.6290387183343058,0.6049988849496837,0.7436470986464325,0.5981977551879539,0.5942390544860329,0.583214424380414,0.6099832980675677,0.6568090419249729,0.7010809508076581,0.766101795128174,0.8167758573489808,0.9308947307198688,0.8184221257297905,0.8515379840995,0.7677009310262694,0.7425631480749086,0.6328747748066539,0.607974513471063,0.5902558425616233,0.6917757102646828,0.6240046231305496,0.5932582043366903,0.6275795207926388,0.7318449425931296,0.746654049953382,0.7932558535355616,0.7181337045636331,0.7355982807707708,0.6916805606459399,0.7402500847241232,0.7006665422889197,0.7007883714151334,0.762429925184837,0.9282916567579942,1.0866940878635996,0.8914038387943065,0.8037888415869502,0.8446403770477846,0.7695254242951143,0.7354462837336698,0.6822872728618165,0.615183301822515,0.6227249578197078,0.669951197983004,0.7276070642206761,0.8577754867405274,1.478236499247932,1.221919580822446,0.7106993386580729,0.6639659306576983,0.6028915275205979,0.6402653217400012,0.6238360641523929,0.6831427965541784,0.732559631862834,0.7698151237179518,0.8285738495471019,0.8976987845686949,0.9716240302543149,1.106652120830412,1.4276972581526808,1.212073525684942,1.0240533871002588,0.8739838660484043,0.7642318906484947,0.7856058334516716,0.7523224885371205,0.7396572858852647,0.6909335502286493,0.7334540828426747,0.7430376295397286,0.803756424471669,0.7649136939803326,0.8759418333241321,0.6883489168508113,0.8173942276399356,0.9634141154849635,0.9064132732038275,0.9894432606062558,0.9963602807593869,1.3415155996781591,1.6652367111173085,2.716532066556785,2.587038980682482,2.1426072717212357,1.7145460317338674,1.7732304215965915,1.2076908550482623,1.158280696739451,1.2144158153650761,1.1563457544246007,0.9622819904653497,0.9847414694206141,0.8058930643981602,0.6519929329111186,0.64296573896198,0.6362421041860481,0.6098462046639733,0.6833365945144637,0.6674723828859156,0.6864929226539311,0.7673264885599959,1.004948927367214,1.0312932850932133,1.1108995443816394,1.3124472101987292,1.4294311121672854,1.5781282937870371,1.4588904678379062,1.1798721985736025,0.9573372928554034,0.7931368241009149,0.8406509171519356,1.0302831622531372,1.6030694636509073,1.1882622270425114,1.2132684201708366,0.9817941894071142,0.8879315594379235,0.8837782828925944,1.0957518050119839,1.1299397855149882,0.9356501559883772,1.091783519633802,1.464712879487849,1.3476818191160778,1.1833311335541683,1.5262339474077389,1.7158951412936658,1.4240933857257938,1.5851179953090957,1.0585162438767344,1.1319163931555527,1.0253319754818697,0.7988804861401467,0.8369164730874528,0.7612623250775035,0.8476710740286857,0.7284428322923533,0.6991593229974956,0.6864508268085023,0.7075641018714375,0.6399686130089566,0.7973419951692083,1.0000222095080769,0.9250121406297593,0.8604817252090597,1.089817622262529,1.3626704750820453,1.09569327846422,1.022858976962314,0.8669581564550165,0.6946931099331805,0.6274159099516898,0.6912538952870496,0.7443958928734715,0.6676411235780029,0.7284740504845755,0.8226679395163806,0.8054720803165076,0.793378893050922,1.0708755571799442,1.1926119892966156,0.95236222239554,1.203480587977866,1.4012063308040927,1.4294526371964364,1.255837188577027,0.9973116005070229,1.5574677700261632,1.2792859402579495,1.0904353966497302,1.0577684529761655,0.8367178812773787,1.192807188805115,1.3664450152584902,0.8029482517726382,0.820882143527525,1.0734143613172147,1.0323101559704917,0.6419737691628228,0.7768669329676463,0.5956246205965882,0.820865726667986,0.625472426413625,0.6451232221279345,0.8838394573863257,0.6803118119334921,0.9369422316990749,0.7747195205044022,0.9107915751783895,0.9063837076065184,1.2293406237099653,1.1091994172961395,1.733000399418992,1.9044880340366523,2.484776807018731],[1.076692374108305,0.7314054495971689,0.8506249221166319,0.6789080129798801,0.6628286088444972,0.7814605394646177,0.7905460985043006,0.8056239606996096,0.8591207017605987,0.8841795709366768,0.9259768963423528,0.9682212870668699,0.9299757806792134,0.9610892265107762,1.0493325264357067,1.001417876682923,1.0164121610568155,1.084478729353947,1.1926415239024803,1.1869318256460188,1.2730212097736116,1.364844605683723,1.470815918379098,1.4531034403322733,1.4070367707894975,1.2720783397717899,1.2249807016524288,1.0820905494018491,1.0517990761649605,1.0064990268604652,1.0611396833938973,0.9896786103399091,1.0097329872139462,1.0597753287694045,1.0372282922839147,1.0740424234932238,1.019862592916939,1.1250370608804214,1.156218009757628,1.2555286728648798,1.3316710174987807,1.339117596788314,1.400223556478175,1.416483378400087,1.6958395402870359,1.846832456341101,2.0782097886607036,1.5823918948484292,1.609626131721273,2.0348536796430885,1.7374350344661909,1.7385777740591417,1.9027283394481564,1.4437898718861821,1.7017801354736468,1.6675660696335237,1.4607871895632112,1.6951317687793632,1.4957526244903134,2.027587869949025,1.547422976588168,1.3857207281428463,1.2938193026190323,1.5055173575880338,1.488329489910222,1.2952682854384787,1.361722199823574,1.1961499893073577,1.2692541182696508,1.2185126236332213,1.286586092305185,1.5556958072193443,1.2925438223775716,1.4142776240190307,1.1910462267962412,1.4692855439841668,1.233377158734974,1.1885732443471484,1.1594205597612905,1.253302775876598,1.1524960363882808,1.281333623123665,1.2697740402656215,1.1764676083379868,1.1922532187964345,1.0930937547390454,1.1688813256879595,1.1814290364153777,1.1378357356798752,1.1050009662511413,1.1416143521207605,1.3061740951717353,1.1705912681985504,1.1041575476977235,1.0735417997208374,1.1298657187100263,1.1074533649961575,1.022557854185089,0.9681822376508297,1.008754236911284,0.9485124115661259,0.8413047315575991,0.9456890297863414,0.8117323994427991,0.8528868469780267,0.7330478943036871,0.7290990270077194,0.7262883727884318,0.6719790911112345,0.8691690485124205,0.6928209441056415,0.7419813257803918,0.7652404591074374,0.8085163757131888,0.8909783934355461,0.9315439224581334,1.0239201722484914,1.0714083243109802,1.213113418657292,1.1040028086616955,1.1216159712802691,1.0280082395670824,0.9801827713565908,0.8782444229896077,0.8273099853269895,0.7642629632243169,0.7355579192451523,0.7252924889347607,0.6737685766548974,0.7419209998387241,0.7439696759078055,0.7502647476870364,0.8378314667523031,0.8202595967597306,0.8272969149600169,0.819195762009003,0.8127886478487754,0.827915811755207,0.8667315413312615,0.9624700772519175,1.1258606818372214,1.2660640636532199,1.1298809619240344,1.0444346862847294,1.0977855804685905,1.0213146661642747,0.9760461488384978,0.9293575892618007,0.8331230941237094,0.8259136332575857,0.8331467789285082,0.8853314911684301,0.9757919433753638,1.606910438648167,1.401499278247107,0.921515687839615,0.8944464321770675,0.8088132302275165,0.8860090283352995,0.8401958720499555,0.8729099889344513,0.9650259257791207,0.9760862085168087,1.0450813940122117,1.061872994405119,1.1191763756398025,1.1963652177400408,1.4752798351369776,1.2363072601307334,1.0894231814036932,0.9623179456397772,0.8976710355788073,0.9374871291468581,0.9271017564247251,0.9437941068952729,0.9025825579699058,0.9716113074944017,0.9874543370931872,1.0292385803718749,0.9594616132013906,1.0383716834046466,0.8471044815695677,0.9614134751651702,1.0743669270655445,1.0352811348458348,1.1517224842649216,1.1927755062499663,1.5056271752953096,1.7527839817808017,2.844584887715291,2.742882689971902,2.139972383151753,1.774813267876068,1.8257228091820474,1.2241296822558458,1.082789524809229,1.124890183708156,1.082543389757778,0.9022485405025772,0.950865756978484,0.7354570846515438,0.6207247836994931,0.628078948238719,0.585293234892134,0.5601685391872223,0.674929220198429,0.6262592965758839,0.6186313687406114,0.7333036865498529,0.9584818509218113,0.961518705537618,1.0460609756277122,1.2582113475131955,1.3409463759590827,1.4828018125579165,1.368939266306307,1.1048881066004557,0.874071155875761,0.7079894649325217,0.7588775828940635,0.9371840470826844,1.493196449633554,1.1431678648787957,1.165477721197155,0.8913561565559279,0.7994465744207273,0.7967380957592334,0.9840976565387867,1.020340994104007,0.8560167703736007,0.9763871104210674,1.3400254287118705,1.2479596873326189,1.0801014426898272,1.4422881994438521,1.5867107121326405,1.3252003120352032,1.512540810852865,0.9659810065276048,1.0583890288858036,0.9421777122522207,0.7432932074574923,0.8127831781320322,0.749102226573591,0.8975307568673422,0.738405855803086,0.6600854200794333,0.7452596218802068,0.7590846879163848,0.6483347863741608,0.8333367503956802,1.0492174953436733,0.9433648304043166,0.8679206878583259,1.111335749782398,1.3668296335302452,1.0531207097513327,0.9700717442879901,0.8103043215367186,0.6302972403851232,0.5786062933897743,0.606165257631081,0.6569130878615206,0.5973963645703538,0.6483813684457678,0.7350802852402353,0.720505631876084,0.7196626199197107,0.9778003447488608,1.1206821323210427,0.8968295546464251,1.1314732311688138,1.3370678724194627,1.3973639840149072,1.231542189939235,0.9900267160656525,1.5474109855391842,1.2647874248934103,1.035093347401776,0.9569921648970723,0.7634127960009329,1.090003004651829,1.2246722677049517,0.7124222695960306,0.8047232661704908,1.1186857709793898,1.0112139402365872,0.6138650943012713,0.7369408620894405,0.627752035441189,0.8296848927233021,0.6674208522244709,0.6776452086167657,1.0204109569636008,0.7645479495405189,0.9559236240587289,0.8475899565422258,1.026491383297151,0.9792839360541671,1.224732027416363,1.2776612345911151,1.867650783056062,2.050066104041647,2.719200504913664],[1.0018501300481093,0.6792370674988844,0.8252113394609579,0.6502373048478174,0.6320386828442579,0.7114830226983357,0.6946496536552046,0.6961298231040787,0.7281175519163048,0.7023651626138739,0.711409378340737,0.7752438423603557,0.7442294890382135,0.7387393826744879,0.8155353035269799,0.7881155649880337,0.8176775953286342,0.8566106056632585,0.962868948938094,0.968258689838602,1.0394185566795184,1.1536663391818858,1.2446627533776653,1.2314602840178315,1.1821590429597693,1.0490345659432374,1.0279334414807646,0.887679587741885,0.8450910631141326,0.8115102269329008,0.8277381058733582,0.7797143071824942,0.7932133725395043,0.8281149115967861,0.8257839374891973,0.8638406834526281,0.8189740290250904,0.9392686513939492,0.9650213796298971,1.067168045020491,1.1474122821127672,1.1359507013758336,1.1859915203579403,1.2117657640594062,1.5155133146412416,1.7032360646224687,1.916982604558742,1.36666989928879,1.4531683286010473,1.8917555184656238,1.5209158011088748,1.578437718918126,1.672943813565026,1.2564890177337944,1.579892007547155,1.4410512999781577,1.2411006470936952,1.490234833930429,1.2686203226558508,1.8600987633763104,1.30443941595898,1.1269738281884392,1.0332776487082123,1.2514795441686557,1.2225577401594947,1.0440145273917618,1.1125976930824841,0.9616162061070591,1.0265496348875172,0.9797584566261299,1.0407517993839492,1.351626856789121,1.0420534693342847,1.2164437231602518,0.948181091160138,1.301033114437476,0.9890530703358344,0.9482177884042883,0.9312258788378431,1.01516124564435,0.9517223940622102,1.0949482074168146,1.1820760184808443,1.0146285145303977,1.0288416781632475,0.9153431701502213,0.9617271309659042,0.9639879686183828,0.9115063443773114,0.8812434844066759,0.9149862438858347,1.0651960012016977,0.9438284271597801,0.8613083236194041,0.8279629910899253,0.8937946583205524,0.8688732517152472,0.8002409150186236,0.7769964914485988,0.851663373658649,0.762371544124275,0.705876467928197,0.7968093600397372,0.6990235180502322,0.7531127285978063,0.671265643995559,0.6778133445579828,0.6979692120932477,0.6504726108095606,0.835720098881036,0.6450364337386191,0.6647231600008129,0.6587800750505312,0.7044560571732773,0.7456049223074286,0.781132277833892,0.8414963279537437,0.9019209825348518,1.0052858780383516,0.886577915927666,0.9091262426600631,0.8263959664734242,0.8115888596876392,0.7238721297783317,0.6909446232748215,0.6769927225339327,0.679329791008807,0.6576984446118312,0.6379713736024734,0.6991191826000571,0.7476919809822155,0.7467692550672786,0.7979339055904711,0.7553350589971848,0.7764281404984148,0.7713916046182343,0.8014565217638274,0.7857403082503145,0.7914668436236264,0.8673379436887219,1.0308946128931198,1.1599697450385884,0.9608187904711283,0.8910354127249734,0.9197726583149294,0.8609210552207687,0.8299987777981181,0.7807964800500805,0.7060006561603567,0.6968620066763654,0.7353225305375285,0.7670081519676261,0.8860021853381109,1.5399227008032068,1.2987893055954958,0.7844047322402257,0.7414067653413907,0.6829992611726896,0.7332935747615733,0.7136354920370386,0.7730855218921785,0.8283860152365307,0.8597870506287707,0.9078129516281094,0.9460250067129857,1.017197203340516,1.0976285962025882,1.3734924214076316,1.20206859880539,1.068259506351242,0.9145814872483827,0.830194506416117,0.843954477472407,0.8269694864197877,0.8225708782089325,0.779498688513863,0.8260759440589277,0.8345475679746661,0.8765886175093093,0.8358849366107691,0.93600172902491,0.7630238492340062,0.8635746744341156,0.9645306017670058,0.938296191296487,1.0292089710021661,1.0338888191938893,1.338226711237581,1.6019754443050247,2.700379284350191,2.678588970368241,1.8715370066381558,1.5929350535133169,1.7401669141398861,1.1644606622306986,1.063580920250888,1.1104451152304804,1.090688874659929,0.9202591287533012,0.9662935286247063,0.746484767685453,0.6340766173797354,0.6320323806329854,0.6097472938213276,0.5754147295200168,0.6756155035956719,0.6401107061492566,0.6343649322504912,0.7378072372097153,0.948395833260588,0.9508617238324204,1.0287634711465188,1.2339693075456286,1.3218813396565412,1.454167276843979,1.3513184188501657,1.1027969176270949,0.8792951675089778,0.7209451004076025,0.7633219776306609,0.9282779938753692,1.4535104504809229,1.1420511736133787,1.1875036798930882,0.8960279287674681,0.8056240599598293,0.7998185443720093,0.9483873257746945,0.9886698224322742,0.8602605660114627,0.9482497495666564,1.2823636608443925,1.2305385457158964,1.059934135199455,1.4027678262532324,1.5404619598076714,1.3046484648849417,1.5005388385851546,0.9695783366912292,1.0569583972918308,0.9258467124794741,0.7364461504012438,0.820343287369676,0.7580798290455549,0.9172768032515215,0.7547269539189359,0.6788218096673452,0.7629252031266988,0.7735401459480885,0.6701256938915267,0.846898911873194,1.05416123223591,0.9458354942675236,0.8757041196557555,1.1045089401358088,1.345536722950951,1.0364777246120749,0.9579879367432221,0.8039003172868738,0.6459698308921725,0.6009956151906134,0.6089981744947555,0.6648461976682386,0.6090116447751942,0.6661638797046052,0.7447442020225129,0.7292647959107643,0.7411020015538744,0.96893424654106,1.103090856488187,0.9191238450568654,1.1381972076323725,1.325329295090341,1.4139162047998226,1.2710812167579415,1.0492005951422612,1.570743388105149,1.324273644490151,1.0361819601245266,0.959150991310086,0.7773294949031311,1.0697776602474947,1.2056386909952657,0.7273718983408529,0.8904761016674572,1.2317295080413744,1.0498884952233503,0.644986226415467,0.7574502660512409,0.6193446890416389,0.822944276792982,0.6505627282288051,0.6663265527910328,1.007696170622989,0.7340795543780478,0.9317951089446321,0.8100009235636595,0.9802756088530133,0.9592474765535294,1.1950234253903078,1.2055720301978228,1.8508255747773956,2.006346834235257,2.710436704152436],[0.9719908731255401,0.602480664956903,0.8817630460169575,0.5059389605710287,0.5112987202793566,0.6225364542487533,0.5502760781862714,0.553242166457109,0.5975352256259528,0.5342759151766325,0.5345304011713516,0.6149990847218909,0.569534160542984,0.5434322695039764,0.6345540724306061,0.5878602303751241,0.6069533157000847,0.6313840007236156,0.7331605439037627,0.7271296386408704,0.8211011359525209,0.943734515270171,1.088122648405794,1.0626069579817485,0.9882291580141886,0.8253054830070936,0.811269494551832,0.6618091969865308,0.6277493096959508,0.5886602582736234,0.6286551905059428,0.5646861527692745,0.5855237862596484,0.6205189837153952,0.6027860892969359,0.6458553113146103,0.6108215812612255,0.7330590947109193,0.746462710352821,0.8842414182189906,0.9583320313353546,0.919138427417361,0.9770312332881808,1.031000988925612,1.3655847758846613,1.5864346470123656,1.833234122996219,1.2166723104440729,1.3046527952966247,1.829135769570072,1.458888568892396,1.535212039181563,1.5412943930997687,1.1473691782366668,1.4841198704502812,1.3159060604776633,1.0924704880273681,1.3823965449494502,1.1132525595546399,1.7265097951687247,1.1101347231536571,0.9467504308511857,0.8346805218657142,1.0500409925961216,1.039541760324176,0.8331263555804188,0.9257546106268377,0.7396081396518429,0.8416254980634258,0.8190284754746722,0.9182634111526298,1.2947557310962925,0.9020441110596602,1.0510718666581833,0.7535563726277544,1.1133121880058063,0.7637264610265242,0.7214618564044445,0.72058608870338,0.8376672657265843,0.7469053217179801,0.9577046823380806,1.0051149853136747,0.8709054008753281,0.8578244897325746,0.7079893656798741,0.7460722634671397,0.7736507295750497,0.6896564636438028,0.6701760272781923,0.6964024545555465,0.8620716768007668,0.7600205442828084,0.644304470719496,0.624649175818579,0.7139713775247385,0.7316784429608991,0.6137259728147115,0.5807217746334364,0.6421456501184358,0.5722589022667499,0.5860863315827259,0.6229273398448222,0.5384564115358379,0.6241591946556416,0.5279208362245993,0.5909451164030739,0.6297080617659705,0.5583897917188533,0.6975723159750162,0.4982252184368957,0.506734229978862,0.4872400038698187,0.5105193414907956,0.5621795510971889,0.58708402339627,0.641261122607548,0.6734004202804675,0.7897625133736026,0.6629203383556398,0.7020629874726577,0.6442339858485607,0.6290429955883862,0.535942176516083,0.5266359836982275,0.5165819281627496,0.59369173079345,0.5423840009881734,0.5203811130995799,0.569629695021793,0.6751520956291244,0.6915593246521451,0.7558908246598363,0.6767862959447325,0.6935272732998733,0.6594486534271919,0.7186698037863085,0.6398646402881558,0.6289483893195479,0.66194430722078,0.7806853449002678,0.9436282824691451,0.726430927838248,0.674512696577298,0.707982520402429,0.6449263504832267,0.6266665460470231,0.5868025697459598,0.5262552931564548,0.5367690628405831,0.5768895121929674,0.5962764952262457,0.7299614223365337,1.325335774063803,1.093167413113088,0.6091916658620845,0.5630152057756789,0.5172767910462754,0.5561400736244496,0.5598993697773711,0.6070360815295739,0.6377257768777825,0.6738168406853791,0.7249504306492454,0.7938953675297924,0.8790512216408118,1.0298422634239899,1.3443812443109573,1.170940443498555,0.976833036212014,0.8186104485083509,0.6878696438959301,0.6984684187896093,0.6655565791138222,0.6543934599355306,0.6186778853073344,0.6336957186518145,0.658026393122712,0.7214015283251245,0.6919174767231459,0.7789913401627107,0.6279336199246383,0.7647655691413356,0.9135128130306315,0.8469472028739409,0.8965315802744277,0.8885866936047813,1.2145381678988358,1.5393825794251994,2.6563891060132168,2.578131309862341,2.001987392139527,1.6517679409206945,1.74072933095588,1.1658922479979605,1.0948261426962083,1.1353702931833107,1.0924810072796054,0.8943414922169489,0.9036265876531456,0.7098032435850103,0.5448464291040159,0.5384510051913483,0.5063100091029523,0.4629752988315679,0.5497259853954158,0.5466567700156298,0.5449712440620046,0.6243576591915343,0.893025924546204,0.9156766429122974,0.9642888053368531,1.157238780881671,1.296364423148586,1.4469358932250571,1.3648983794352447,1.0238703350820204,0.802244246691476,0.6414036684485951,0.6735679546159796,0.8975910086245318,1.4839619113706346,1.1581056534322511,1.1030583868888775,0.8730273271287119,0.7938905694469786,0.7741678015810971,0.9922770991927625,1.0177137295911418,0.8523848352759252,0.976895956175175,1.3505204328136549,1.2447142925317443,1.0824470662377157,1.4521038917729554,1.5833920632274472,1.317910289980362,1.5176227656856451,0.9660625830386836,1.0609257022519156,0.9472062163829309,0.7207234501883648,0.799275123190136,0.6882148100623697,0.8445545970355116,0.686203403775542,0.5698860529828191,0.5872676928448408,0.6213797131939243,0.5100722852221016,0.6655596803051491,0.881601413323877,0.8014777676337979,0.719640245103276,0.9377694924563073,1.2027273700099725,0.9168663555923515,0.821177145613579,0.6782175275309377,0.5200734535782482,0.5130907280288378,0.5876474004477639,0.5723614724377593,0.515078138877709,0.6185846654782429,0.7023363933839396,0.6629725464628985,0.6830801064909577,0.9655692521100928,1.0769626722474186,0.8528928956148955,1.1101865089962968,1.3038102418131277,1.3440101498243895,1.1777194794879713,0.9078200574576342,1.4999975839531279,1.2335334670561586,0.9579228801391456,0.9746862376385375,0.7467292280850147,1.1249601759145222,1.3847342873082558,0.7228751494848552,0.6603614878476664,0.9662404314370004,0.9352201581266545,0.5149523379453294,0.6785150443588516,0.4898272570744027,0.7597888343299217,0.5044312872727954,0.5149482565612746,0.8169848313028085,0.5751864769501149,0.8579180247756548,0.6564669600210525,0.8263082549192422,0.8440271271371084,1.1741310323034535,0.9535348499840057,1.7886289265785125,1.9185948291805797,2.6496128986879977],[0.9532363492127423,0.6043524489238844,0.9087077556811606,0.5672231849267826,0.608713264010489,0.6933610309708975,0.6635199264526213,0.6644605747541732,0.7137434347821721,0.6919299341865609,0.6946041186670697,0.7654358801181761,0.7488836857538139,0.7165999416032033,0.816554032622212,0.7745580883616615,0.789331377292991,0.8160296498720073,0.8936741040305922,0.9061732369368549,0.9902618901778094,1.1147767659148777,1.2490818576133362,1.2121649687429448,1.1641370958898745,0.9955709169320719,1.0039637870612377,0.8398443523429812,0.8093946653590243,0.7793168191272803,0.8209574090895178,0.7564174924631312,0.7800411404304078,0.8122191997702234,0.8034926524215825,0.8393325146846103,0.81439317890725,0.9394659810887176,0.9590159861205304,1.1168899892974333,1.163925981921907,1.1318677792570906,1.2051896158913746,1.2559098408076839,1.5585460909183033,1.7645662437089078,2.0363999226679748,1.4640043760583639,1.5178826344437402,2.012594085226745,1.7003722804003178,1.7118743491768567,1.8211520330627,1.3324213400866236,1.6037989729612478,1.536157708538224,1.294355204169784,1.5819801641230569,1.3176217260863705,1.8780527216361171,1.2864603063276265,1.140825223335111,1.0191967595746039,1.227154063319378,1.2136940408366477,1.025236012497347,1.0836057902598701,0.8959489343760884,0.9652900747590211,0.9578949168820295,1.045264914110786,1.4147998184716648,1.0335647463112052,1.1677658825689905,0.8982092526451214,1.2077327196313707,0.9381105978253269,0.9086949594771414,0.9166049304163373,1.0316226768548387,0.9570580288013072,1.158272661789603,1.1308781639355836,1.0986090858706046,1.0635718705085133,0.9296683294391911,0.9632935638623191,0.9725045457111361,0.891419913601657,0.8517629677548606,0.8795518818141073,1.0002695314147416,0.9334791184916927,0.8538704822183286,0.8254003839008723,0.9128766202292827,0.9159713984957361,0.7915691001448081,0.7502439318049747,0.7815649291640767,0.741421408932118,0.7240332106215976,0.8032775351198005,0.7093638810323163,0.7903345588568736,0.6719051556021236,0.7262520407094804,0.7711263312128878,0.6797920424090447,0.7990229580366243,0.6050894065850507,0.6436426126661122,0.625653122704835,0.6605062956604311,0.7296525984370134,0.7514293370838,0.7965147862263379,0.8375316750491508,0.9205956524183367,0.8236845592646188,0.8510505775704574,0.7966970496854763,0.759065648927448,0.6941347509277923,0.6699832659183511,0.6707676734900858,0.684030881466722,0.6780372033389798,0.6533309181218582,0.729046911493441,0.7838238973908485,0.8157297756232533,0.9201314234532937,0.8589836133785536,0.8647127103691986,0.8116235789554237,0.8481723326917998,0.7615023694126858,0.780476602411941,0.8429707545670184,0.9703846878671908,1.1306742859529813,0.9323353091106166,0.8795255273093063,0.9217633518259374,0.8366895660764428,0.8054899056163052,0.7640266798012372,0.7014930222236561,0.6976138724350535,0.7005265036665338,0.7185686362391487,0.8181660815955992,1.3760278319115862,1.2195159326376586,0.751456482006645,0.7272948252934256,0.6692287233993559,0.7174603576642515,0.7150470562385197,0.7775407421753807,0.8299388399279726,0.8715884904240341,0.926523537394172,0.9979338529815831,1.0825620333045856,1.2238091641503754,1.522679840306566,1.2918282436100716,1.1072790673860413,0.9865790167713138,0.8613276599786405,0.8904474667128456,0.8632155854331622,0.8515417213148765,0.8046448559335168,0.8169308618158627,0.8691605613585591,0.935205249987106,0.8972483560340812,0.9976956640136897,0.8077306781565627,0.9504116791923826,1.105028629865178,1.039985073235911,1.1068086864961528,1.107372825215025,1.4680489263400132,1.7468754204443826,2.844888084412492,2.7105616867224906,2.2470156674676405,1.8568594685488493,1.877574662293028,1.3172592422892435,1.194050900848059,1.2098667803943561,1.1586896513352236,0.9496633541623506,0.9596949338554879,0.784246379958321,0.6226665076339089,0.6012177379791518,0.5687513299132451,0.5257511933238068,0.5682423106874296,0.5905407467410363,0.5736739587965263,0.6180722553594492,0.8731399874577168,0.9007842812837491,0.9330735884877414,1.1083648934800046,1.2638339349797356,1.4103822919855828,1.3455092799403225,1.0015177965564281,0.8065567558155946,0.6518011348737924,0.669770086879345,0.8881657957458068,1.5096418568181862,1.1945922655759704,1.1296308446466212,0.9221169917890255,0.8716011954918949,0.8502572529504697,1.0920814676314334,1.0827648829206988,0.9248389606379647,1.050937732632158,1.4238168329298029,1.2883367267066999,1.142078673399685,1.5396329499937706,1.6190955343764604,1.3370707286632337,1.5684014886238353,1.007120720280278,1.137969593100282,1.0439557313807917,0.8146557041153605,0.8987163842334436,0.7923944646741925,0.9320574576539565,0.7643751396972185,0.6262350419203251,0.6438514686883007,0.6672705762153113,0.5311898118918269,0.6491850273199745,0.8468811112621576,0.7751647806984483,0.6963494479112544,0.8941931668226191,1.1547687795771453,0.876428173456605,0.7819350004663329,0.660562650468508,0.5292352677527301,0.546662332391545,0.6549255202569308,0.5895755588721635,0.5477320241778348,0.6829655996962646,0.7432737090383752,0.6852504345940277,0.7276987267729625,1.0003886866307594,1.0746737960370196,0.862592244132892,1.1200444562687772,1.3069819853662497,1.3217821820807867,1.152978150517624,0.8996571741020294,1.5077637047135066,1.261512625327974,0.9675496197352611,0.9993287306336004,0.7648212014729886,1.113014184119816,1.4087796725056798,0.7707675045006823,0.656714992850644,0.9007597858402198,0.9327179349031788,0.556460860383811,0.7224120633433059,0.5669625056336566,0.7817353183906578,0.5614087305299427,0.5479095340618719,0.868044643408198,0.6193920355692992,0.851890492037863,0.6785218610513809,0.8593449641983211,0.8816124310423474,1.1493417761525788,1.053853363657465,1.9429471289490814,2.077099164017182,2.937606986802064],[0.9471624283741996,0.6541104232063747,0.9806204716640783,0.6635235107662387,0.7110652914815059,0.7501702058652051,0.738026453785813,0.7403776222960802,0.7793713930514327,0.7576121483944743,0.7522174781778923,0.8255606647584868,0.8146622034820261,0.7663767615977781,0.8537237785596379,0.8243922324602787,0.8379530118403915,0.8470744974351129,0.9051193462263949,0.934735567449718,0.9999074162475512,1.1331820110835173,1.246253978087389,1.206007561317413,1.1892549060368798,1.018282820072119,1.0550420252590833,0.8926294304972437,0.861022072287134,0.8417250424591188,0.8555527444695916,0.8141806291081849,0.8323113586301796,0.8530812764178861,0.8536000341077689,0.8830392151683971,0.8847846342979804,1.0065821206651655,1.0346852232732924,1.1940247902972956,1.2385888225027888,1.1784907496493275,1.2471407950932683,1.3059377037537176,1.58327125403449,1.7961163074502642,2.0464068743977895,1.505973076862363,1.5951530523593989,2.059538076305654,1.7414497740666413,1.7535103619231984,1.8891343212636378,1.3816839545071335,1.650436898170652,1.574993819233703,1.3391962962464765,1.6117539787410946,1.3494765445950363,1.912778346612783,1.3022274990502816,1.1484481043677586,1.030990003366178,1.2176172833185641,1.2153335050709269,1.043532522001322,1.0812419718017368,0.9053193148956991,0.9619508204905463,0.9574159053315023,1.0379400328034103,1.4051943927645574,1.019184362737955,1.154156300731031,0.898982735352546,1.200154323679894,0.9516240872937122,0.9283608852452065,0.9481313960008282,1.0663653633804533,1.0131509676616874,1.2186580693460551,1.2088315941126422,1.176287753906476,1.1523837459945427,1.0125970202221848,1.0251275870828556,1.0350887821506012,0.9348442867558122,0.8877310592980215,0.903416679598307,1.0064911324008474,0.949867162555874,0.8844398837339168,0.8649664712204082,0.9452999202554019,0.9651407077028422,0.843822497161941,0.807992545641699,0.8342077147206812,0.8096874060540079,0.8148038337379034,0.8942352887445433,0.8204692413478436,0.8989796914449225,0.7875808378438452,0.8400113071382503,0.8834139439227394,0.7845380341802289,0.8761733977922884,0.6960070243358986,0.7452051112006309,0.7211186107593838,0.7557868864469237,0.8038034369660625,0.8238728503426154,0.851036423362818,0.8890045446393205,0.9332433926499291,0.8508892061674974,0.8763262825896825,0.8362663732823032,0.8072866671985468,0.7637917347088518,0.7506148442764128,0.7769839705101749,0.7540812723017372,0.7795706364797695,0.7669357047241159,0.8546691654373998,0.884597296823491,0.927966373584653,1.0405211432421226,0.985318599943937,0.990165290658128,0.9362467332720272,0.96975489988021,0.8819562445671483,0.9001637680785334,0.9529549203146034,1.0698317119421281,1.2080782102653982,0.9963318995259155,0.9667876428010626,1.00565158226957,0.9175567912035489,0.8913116357303404,0.8513515990127687,0.7988594635552142,0.786411729747483,0.7820834757286996,0.793960503115481,0.87893363753175,1.3876399227165028,1.2604033338073404,0.8280876047002677,0.8088693844075664,0.7691800858263771,0.8079894910959854,0.8165897114578079,0.8803067862750167,0.919878273575246,0.9752058438953027,1.023857244212703,1.1035097401562957,1.2020270816148255,1.3326276637675916,1.6115254218889863,1.3827211866125686,1.224699970629198,1.1061409356453031,0.9834822373755346,1.007010208408027,0.9758007549675592,0.9550635638250494,0.9110540416576145,0.9048043178124194,0.9661219885680009,1.030314796040722,1.001581409050924,1.1016795126864967,0.9246121911919881,1.0642259034749444,1.2156800077401555,1.1532795817771895,1.2005784113711535,1.1945145677191995,1.5459541129874004,1.808129185199834,2.934939247571447,2.826949091533248,2.2425476386182113,1.9177442786745313,1.9457052272022262,1.4058901177630283,1.2598869214992596,1.2274853253303073,1.1841620771623673,0.9955578710158369,1.0075572971848348,0.8513596418178869,0.7168597938432207,0.6885564085503044,0.6622934104907213,0.6267862877300934,0.6584943045652072,0.6983048166812602,0.6582134937203299,0.6937517506835427,0.9108438178767271,0.9302366845469292,0.9486844961878474,1.104467262328005,1.2531962080205399,1.3886861486753022,1.3495243630142824,1.0193582928699332,0.8427108800794083,0.7097980914501081,0.7191582103427954,0.8990682429070687,1.498042904157628,1.2347937177573598,1.165905111111601,0.9516575310955799,0.9186839766692884,0.9029106787804959,1.1344380755235344,1.102525631230739,0.9650879313175031,1.0903950944414222,1.4295860165847902,1.3054724761990981,1.1633200948205513,1.5374989253559161,1.584836684515726,1.3297159536595502,1.5687547080167086,1.0434318951389465,1.1682888177887616,1.0898305515426034,0.8977610485084958,0.974502569670624,0.8887348384800521,1.0274983551043257,0.8567996330304866,0.7169580646055682,0.7530566842685654,0.7575537705204283,0.6335231176389635,0.7283353453695061,0.8966738920784609,0.8324784508175327,0.7630227572706111,0.9254889755909941,1.155312136981215,0.9067294290611696,0.8214983336062189,0.7045827281866975,0.6170174589073835,0.6522177865646299,0.7504953272746006,0.652880706172701,0.6387567298170269,0.7602658696377682,0.7898674563303132,0.7376356390681946,0.7853175152041297,1.007548279444472,1.0764373721890834,0.905938316982155,1.12553447965579,1.2993519910790108,1.3225774022223407,1.1677184415381106,0.9449715951265224,1.5165552689101889,1.3124061074336792,0.9815164242185691,1.0110992603670315,0.8197304210438561,1.1221091265566592,1.4140732346765497,0.814739231362162,0.721787922154418,0.9455412027133878,0.9637450755252848,0.6581966104098174,0.7897483448695795,0.6639967884599175,0.8617519431372759,0.6497760588315455,0.6453648618801812,0.9535642066977585,0.6994831082870241,0.9103137960159767,0.7476013741115436,0.9178293958642688,0.9356817229399418,1.1489505896665113,1.1338441263268706,2.0908531953899967,2.2416620742835693,3.1981376346399344],[0.9307946844899857,0.6377659963252897,1.0285703240097994,0.5595938177689371,0.6416700896725097,0.700536228330807,0.6411777851835784,0.638162091517776,0.6597040766054192,0.5983415987776736,0.5710255400114886,0.6649510154577787,0.6350100189401119,0.5724381622828324,0.672046101605522,0.6374011518103117,0.6389091094538677,0.6461311994463463,0.721154293140684,0.717342778877066,0.8064655861710712,0.9139878073027822,1.0666330937270512,1.0537385671718509,0.9713560202827622,0.803772842331438,0.8115381127284542,0.6705673866753489,0.6449945659449565,0.6317449280657934,0.6626758898839741,0.6153464588252211,0.6309725295813461,0.6541640569567443,0.6515833643895544,0.6845346425772263,0.6674671865476153,0.7539718526342711,0.7826984577008794,0.9367367379408138,0.9810676072218681,0.9075818656141335,0.9798080771454198,1.0507029728589086,1.3691466725354278,1.5956602102609183,1.8466953392356233,1.2387352311848399,1.3383349030747582,1.8585649918104676,1.4994227100582713,1.5749577781414987,1.5663825439697798,1.1830521465719062,1.5011448139325227,1.346663033811035,1.1072114720035482,1.4123053379568415,1.130237620894836,1.7210731401494095,1.1011335367064667,0.9496866216474822,0.8340378784738531,1.0217906967422103,1.02195903238265,0.8264501993654696,0.9112947192233625,0.7204693772552033,0.8276628576284089,0.826537447660697,0.9568862662415086,1.362852035269647,0.9058498224043054,1.0267615157519174,0.7513383388688923,1.0665345863849236,0.7487835156456575,0.7230929508627302,0.7441863895017963,0.8648616071336982,0.7872132419501591,1.0211107892715592,1.0242297457831386,0.9756979268351634,0.9272932813373994,0.7756805582436567,0.782171168706457,0.8229603385243076,0.7134292328887938,0.6933066210725087,0.6995925448987488,0.8504990305826728,0.77664379882854,0.6846161336611966,0.669587314695078,0.7627538620283014,0.8028915619154151,0.6609190719939445,0.6395601807904472,0.6885380273809454,0.636983401982055,0.6803353478577733,0.7133048885890754,0.6572842294904824,0.7415521613051674,0.6466809507876513,0.7204743369906447,0.7843949565498595,0.6957901213085546,0.773464064228868,0.5938294599918009,0.6292676375307673,0.5933920156159002,0.6024702789455377,0.6301518762803775,0.6435304229527056,0.6579141163163401,0.6771637971460159,0.7536044268405422,0.6557909443024544,0.6883757214892253,0.6787410097586378,0.6619955899605957,0.5904525918324894,0.6031336790616197,0.6378917018083758,0.6936584244837396,0.6814916405189406,0.6563414980156688,0.714578672057254,0.792413671146185,0.8305829674109337,0.9153462136476209,0.8381508903639273,0.8467678001146801,0.7838630291353295,0.8582020936122865,0.731687032238589,0.7093675362848464,0.7381109884218584,0.8039711945976701,0.9588149648831513,0.7517505021844295,0.7230666855727695,0.7485637517175021,0.6910425995341907,0.6789943414265083,0.6569262903564714,0.6297163565159646,0.6253479031640727,0.6620410957922281,0.6682941182717674,0.7958080742852816,1.2714233153372763,1.122627527225067,0.6785151786359542,0.6517369717922434,0.6131864351470047,0.6310540174844922,0.669989773993656,0.7199661316042811,0.717110067491909,0.7612979975644527,0.805239708697383,0.8872964486877296,0.9744118978380574,1.1549729976411558,1.4537574823601793,1.270809940232905,1.0847663204833755,0.9581083160570705,0.8030062393970621,0.8142729681892237,0.7840608554388316,0.7622980077159704,0.7269341453083032,0.7244890716732381,0.7741715232479683,0.8315428771532648,0.8179553169974624,0.9018981430011882,0.7574223203166266,0.8991137639129038,1.0480893194737875,0.9724040659616341,0.9978813198305436,0.9638415437591531,1.3095012099994714,1.6017724055906122,2.7430051010294827,2.6707038734768678,2.1148211609755023,1.7805291676221993,1.840290592390279,1.2932624989435924,1.1965472178114354,1.2074548284237423,1.1651102230346666,0.9668836498083622,0.9691799838163319,0.8197855899768682,0.6546047096928023,0.6223444280627333,0.6089526610999278,0.5731672235819544,0.5790998868382476,0.6427725216127618,0.616557771586746,0.6149578687293156,0.8553891565106737,0.8905160528786191,0.8949925459335403,1.0368023529212937,1.2199372808157494,1.3623340664098442,1.3395931585120493,0.9872437037988963,0.8414021316713117,0.699649003302823,0.707691404229276,0.892814128050442,1.54554629487611,1.2524814156208095,1.15295376853819,0.9481024661492711,0.9045288082539258,0.8884730934843221,1.1224290139392166,1.093491705941489,0.9517217663837008,1.0782141404818681,1.4221952280629648,1.2892721750489455,1.1502731293845996,1.5216590598382815,1.568851903211674,1.3192629270599014,1.5573874089878361,1.0216857338015073,1.1536095472272412,1.068583930068187,0.8640125553741425,0.9242555618070035,0.8316328505257135,0.9391084426089993,0.7807700223307045,0.6633711490619209,0.6466871129767423,0.662880778280942,0.5485133184963875,0.6171942461159499,0.7820696880047298,0.7325818889259315,0.6661936819439185,0.8224127815566185,1.069809188252795,0.8338042610694667,0.7478588603280933,0.6479289087642635,0.57798082313832,0.6108264222912471,0.7356209063407565,0.6383564021843354,0.6033842394644975,0.7410776509684774,0.7834581215955787,0.7260989079243504,0.7659293515889793,1.005059121891229,1.0639033678907042,0.8913659771088068,1.1164604633834632,1.2891186129676226,1.302854777475547,1.148428686564594,0.9258604454364209,1.5192826641205481,1.3585452057487952,0.9930851254614873,1.052414218922907,0.8187813397716309,1.1323641165861373,1.509369519949848,0.867120898753217,0.6952143921295544,0.8499128377800667,0.9172518372236494,0.5798045250400126,0.7373618371406653,0.5852707761933196,0.7896498862976509,0.5527553454777142,0.5405903089990385,0.8140417736857418,0.5858814751939653,0.8388903118726094,0.6333440053027481,0.8176662452786149,0.8452726308651876,1.1382877100703483,0.9872653319090852,2.016916471318987,2.1425438604826907,3.058668643000737],[1.0039240031630525,0.7010380034638805,1.0709506417477854,0.5228994090821637,0.6418923379593124,0.6858782605585029,0.6238099294117843,0.6311917468739844,0.6491604672362129,0.6109589722982944,0.5957361895368741,0.6839548940967166,0.664796042529596,0.6094497419486453,0.7163865310663367,0.6823574202458985,0.6893851840073766,0.7117700294621467,0.8063875545067855,0.810112609235976,0.914146139641691,1.0323268290123633,1.1940284038921398,1.1767529226456954,1.0842731945519009,0.901426374986123,0.8988234535223093,0.7452763481758409,0.7152005411414113,0.6876568693436775,0.72514240332812,0.666345580817828,0.6857477024268384,0.7192497840317834,0.7187828896831414,0.7569209512265229,0.7386374545980712,0.851720583931999,0.8687956600157443,1.0652048264600738,1.0794087210113383,1.0335583240409856,1.122005169976231,1.1747747011978287,1.5046917955114016,1.7031587593814728,2.0232059301950063,1.3970657190844726,1.4061456064156093,1.9713564687198157,1.6696372994544766,1.704395881308161,1.7074257030206972,1.3110215358214932,1.5812753015056589,1.4609909704867723,1.205544022859217,1.5180097363034748,1.235830294393329,1.7473622173345862,1.1989857370161796,1.09318128488041,0.9624220075153732,1.1452023394860094,1.1619950410148867,0.9275841163645041,0.9980652752593081,0.8108937441050673,0.9026181917064036,0.8827086900158841,1.006072784233037,1.4106012275800563,0.9718730572866959,1.1139896398543756,0.8249297795974453,1.1212773578068853,0.8372773028553695,0.8130545386649216,0.8351192703942956,0.9750410626231852,0.8863067111317149,1.1301615880089955,1.0580539224836514,1.1119527862764467,1.0129779371490282,0.8620191506671492,0.877938072248527,0.8982656230723314,0.8062662795043452,0.7747075016194984,0.7858496029026666,0.9197397215535378,0.8422450913700421,0.7492707389246419,0.7267511215430689,0.8198901574100086,0.8453311077367563,0.6986551133846062,0.6634037871344984,0.6845527052782419,0.662086941918654,0.6855435440028258,0.7530600913879685,0.6853125808578564,0.7855976776867388,0.6747814766075902,0.7585252606280233,0.8254210018489219,0.717835654611223,0.763054311932223,0.5971666714296714,0.6387526969433773,0.5923956838912697,0.6099114455955774,0.6546258430341191,0.67560217348145,0.7090273564661852,0.740451708000943,0.8217891755269813,0.7315199996872055,0.7574825345790547,0.726562625561653,0.6998647347020881,0.611485587388382,0.6111528325728224,0.6413109460315314,0.6925744778434146,0.6880758685525663,0.6648335699997695,0.7428234388970547,0.8291783499845443,0.8887081614584667,0.9834048069539348,0.9017448711536249,0.8948815160603826,0.8034378190498533,0.8664299139212155,0.734757995992834,0.7136475423606465,0.7571234518723737,0.8316651723546796,1.0201250040769698,0.8247378716105075,0.7804827173757433,0.8274096199422196,0.7464100376564686,0.7165832498552852,0.6866880889727198,0.6502535195188885,0.6308038511557558,0.6508312426684281,0.6562408801593941,0.7890876082479221,1.25846635327566,1.1117449132119392,0.675847130840895,0.658216939657699,0.6193245236911943,0.6539207800497087,0.6830365571851805,0.7470451094622964,0.7618897402198143,0.7996150049222763,0.8580510325360211,0.9574644930681936,1.0225223528352312,1.2196725967622928,1.519697373695333,1.3070484518476713,1.0779227487099021,0.9852493735339101,0.8333524902966861,0.8683242006247961,0.8356350724240277,0.8146347042775385,0.7737643292305124,0.7626960942778125,0.8247181747749528,0.8941302451753169,0.8801629736205085,0.9733898269378286,0.8031894593103582,0.9567528632099889,1.1266469351255342,1.0440701233695806,1.074719042845317,1.0511785415928334,1.3829620713328936,1.6748269461399172,2.7629057028431325,2.59571464862757,2.363001128230331,1.9045238279285608,1.8970387871812453,1.3727314341336205,1.2944822854156641,1.3158642171494015,1.2422046708360104,1.0191182036247979,0.9949912998311937,0.8699079538176684,0.6831092756236271,0.6411490921621403,0.6281630083487386,0.5947928968614562,0.5707324089736915,0.6285599532836762,0.6173184847881996,0.5982098821052131,0.85445667061822,0.898399828919476,0.9049831279874279,1.0502010374098312,1.250592637499115,1.4181412327425782,1.3878626744735942,1.0240030320590083,0.8848446132657701,0.7322033769424173,0.7494136049485427,0.9965011266023489,1.6445012290244627,1.318233941179429,1.1756125475422659,1.0349238055649614,1.0062926516742066,0.9913306196319233,1.2472297373156247,1.2227505036550124,1.0410098961378014,1.189577854261824,1.568266507633664,1.3916305013878012,1.2574640741633554,1.6572594623693937,1.710501898132964,1.41725385311864,1.6363705822529477,1.0908376082355045,1.2394755787435607,1.1741376632570177,0.9389951818129821,0.9855813947444996,0.8896497463917934,0.9656884046025128,0.815984994692881,0.7072553237243363,0.6440748596181726,0.6634623913925015,0.5457668037417623,0.5851866182983216,0.7421596431471083,0.7060083391099081,0.6434468416306421,0.7950266095999992,1.058608382949547,0.8289308339197394,0.7420981607744062,0.6460287556481767,0.59176453305513,0.6287294752856883,0.7874922600788851,0.6837373915744848,0.6196278076725539,0.7949810444575023,0.8472199597633621,0.7672191688184502,0.8147877402895282,1.100842841084409,1.1351361813381007,0.9217918672587831,1.1835928611670221,1.3861491582442298,1.3513789863813022,1.1772442150068567,0.9296881375196434,1.5631340538034817,1.3274918883083848,1.0275300572994297,1.1141962703176933,0.8464408873111496,1.174081736392241,1.587276222427224,0.9281560783070291,0.7039221375129188,0.7623381757343531,0.9020936587033219,0.5720105885399122,0.7565371064653643,0.5966474773262938,0.7815519451515676,0.5530069245018476,0.5342551585599203,0.7646541160724668,0.5738977850979944,0.8366671599308705,0.6217050877393305,0.8142645465213532,0.8177308510775397,1.1649701553235958,0.9408951256324979,1.9404626125823683,2.0863856650995234,2.946606254934889],[0.9373840968673327,0.6450936608929102,1.073636592650117,0.5957805253280493,0.7041277443904073,0.751818167608866,0.744009349785537,0.7599445780644446,0.7900726850743421,0.7825890873180356,0.7864957453786636,0.8604044757495871,0.8455835822036025,0.8087746316108961,0.9206037514838864,0.8788696855578482,0.8746983673160411,0.9031526864375256,0.9772493044815752,0.9904369148466441,1.0747241587971064,1.1851111645060963,1.3185911561433863,1.2941122889828323,1.2317627699200164,1.0603218051878074,1.0722034555311628,0.9346111706362021,0.9110792991032923,0.8857482631628901,0.9234080240297682,0.8650867488604673,0.8909416313222704,0.9162029258770582,0.9149611065068066,0.9440333670382405,0.9476624139724621,1.0581319431730627,1.0653471800760983,1.2722013057525683,1.2689178480323964,1.230150209782028,1.3121070776350703,1.3563002495066852,1.6540355749452147,1.8365329990948103,2.150247055895088,1.5767925300451497,1.5783949790670933,2.1030663983630697,1.836212958550896,1.8410792962045432,1.9216783547419205,1.4746715196736644,1.6937465420135294,1.6297705194974803,1.370950806518768,1.6685857886787447,1.3948464333727135,1.8499711339657454,1.3454052433424952,1.2628433721902736,1.1407524516874734,1.282593466864525,1.308337576028451,1.094594097031282,1.1432640437306154,0.9898080824323648,1.0650136493679199,1.0389874518272115,1.141868871771124,1.5160849087561352,1.117663470629961,1.2699460592550271,1.0041068355296583,1.2530938242899448,1.0111719347283932,0.999557641395286,1.0198406914074876,1.1476298540550836,1.0768028544628216,1.3100529894924324,1.2133380158333023,1.3091860505140656,1.2010618040087435,1.071328648533927,1.0704482918931497,1.0771448043182585,0.9979113115634789,0.9673189412811872,0.9787690064501285,1.0887162664951961,1.021151749722634,0.9555577036246433,0.9384708577366853,1.0251547435074209,1.0433309544803613,0.8968502682137959,0.8471529246532669,0.832644871168593,0.8403474943794293,0.847989805720258,0.9293734629506073,0.8689634320045678,0.9617234409718106,0.841448298145151,0.9240186490269945,0.9675443563917816,0.8523687345647014,0.883891753529824,0.7298936749128712,0.7825223958571087,0.7516343291016684,0.7788819292013374,0.8354908985548667,0.8563190025630341,0.888812539912425,0.9172406062077021,0.9685649667437252,0.9120897298640033,0.934502496298219,0.9086484113165146,0.8765747895736021,0.7921431297692026,0.7730584312687641,0.8044776460161629,0.7979316344537908,0.8196277417230302,0.8125505923236974,0.9106756363916695,0.9508331518879091,1.0273335233397975,1.1396284624857664,1.0708117120812024,1.057378359101902,0.9581998337243334,1.0109113907473397,0.8875892413925143,0.8869445550649179,0.9420787734601751,1.0104936117446126,1.1660477541593885,1.0082888274725532,0.9682502267719858,1.0271668538031722,0.9362004492728595,0.8995805364973262,0.8718701035212033,0.835278260128852,0.8067808651459383,0.7897221222763917,0.7999819224255083,0.8798381608403503,1.2928282469730084,1.2161374095649222,0.8319408076771538,0.8323035210663796,0.7893699767244006,0.8311903222688918,0.8503081735423085,0.9109546254686662,0.9423029801972121,0.9797118949418393,1.0392621598407197,1.1376662792156307,1.2071919981656096,1.392403114499887,1.6785975789989713,1.4313992018058521,1.224400100426041,1.144622345552315,1.0065787694393955,1.0514361521962445,1.0218838361115508,0.9997997831088371,0.9634318441268884,0.9431490788333243,1.0268037815380573,1.093529644402712,1.0692933393106374,1.165603493803194,0.9807743707939992,1.1336396143590397,1.2958048358329881,1.2189806435005222,1.2467448800719072,1.224841417234493,1.5551894931227845,1.844327713466778,2.9266058374836126,2.7331205051758007,2.497143785620782,2.0475124646010356,2.003961212940997,1.5076605683007036,1.3855040520068576,1.354718255007692,1.2851891983929278,1.067420534063552,1.0533170813598107,0.9361036669019349,0.7855147375363138,0.7365624371984131,0.7034081717847367,0.6757256895652988,0.6560906137350213,0.7001414361118939,0.6784639548563972,0.6591559593907255,0.8781266169715216,0.9127001026743088,0.9069345438253122,1.0400689868594792,1.2352695434286556,1.3751661482489084,1.3596467121844862,1.0006618985012385,0.8773970425219408,0.7452278647133148,0.7542966502690772,0.9662734569582581,1.6312541876475457,1.348763417996458,1.2023841856232818,1.0629830066598174,1.0617631858974497,1.0589364328151747,1.32841292631817,1.262459823073788,1.1041270957682952,1.2445691680288227,1.593776336995803,1.4091184028984964,1.2924952672514936,1.7013026401835099,1.6974549178012441,1.411329846240841,1.655354494870556,1.123220823624615,1.2996363609038761,1.2480728176737683,1.03142292236047,1.099603114454977,1.017523959560868,1.1098262186324237,0.947034239302798,0.8262786254381894,0.7806596310084225,0.7817037359586335,0.6501632699760578,0.6694861966318354,0.7966060659897958,0.7517492101734214,0.6911952040678052,0.818776262282203,1.0702278086705903,0.8459121567621538,0.7621224209864303,0.6763784758964887,0.6591075184174047,0.7222395773088575,0.8643481671363923,0.7215794165952749,0.6775710170375362,0.8573924843205861,0.8798621019806925,0.7936482189655675,0.8539943965081294,1.1162429091474655,1.1215620377854802,0.9344788017913273,1.188074916388127,1.3790081823474516,1.3463506205045497,1.1727701848736767,0.9443328804067369,1.5677915305815666,1.370581627920721,1.0235367125135475,1.1075496588762324,0.8596785282765289,1.1654109820829954,1.5726764251006382,0.9557590249337037,0.7404957279850238,0.7822367939108137,0.9168728060857244,0.6588660498773519,0.8248139218706411,0.7058127027898491,0.8652175338554896,0.6728540851936347,0.6446453937989113,0.868137413533976,0.6671906849862785,0.8775438748804869,0.6806366415557639,0.880243160379803,0.8788767483900011,1.147065368573159,1.0325635765797772,2.095082788801799,2.245447170136531,3.263610190062166],[1.0948438675615062,0.8765113632441297,1.2546904567126949,0.8526763394467828,0.8977010230166921,0.9239083488730165,0.8779519602760232,0.8849569678673426,0.9064708022088714,0.8516761223274315,0.8367319963313359,0.9101315905645352,0.8599232063227717,0.825691650915521,0.8979884838640949,0.8468774574582978,0.8370511158078153,0.8178159556471641,0.8634896407792579,0.8607306590147632,0.9246914532626063,1.0151175117252684,1.1678126330144623,1.1609332048667458,1.0814469798593545,0.9165850068445422,0.9500784294905565,0.8518927143422756,0.8347838414143474,0.8449751333726842,0.8506098521178902,0.8278827935135316,0.8407517505147478,0.836600707189538,0.8407212553083773,0.8595048262391708,0.8899414010976875,0.9584838441675121,0.9806346626631771,1.1751746300947155,1.1724031202144805,1.0743584824213026,1.1555152325550357,1.237480289541324,1.527383858987096,1.753819860676128,2.0369509972651265,1.4580180344592844,1.5333019983897724,2.054533711834966,1.749012321175825,1.7880337586635373,1.8214198816408216,1.3987902568139958,1.6373744148826752,1.520912456426976,1.262087971613147,1.57224794954331,1.283978249031507,1.8093464305262446,1.2089797865028518,1.0908223949223836,0.983542032037648,1.11581231238594,1.1406361063985135,0.9448168383985716,1.0054054009784386,0.8695553531378388,0.9684510554535634,0.976563463683562,1.118968167240808,1.5101077479389147,1.0436528452313638,1.1611328087957518,0.9084049504678281,1.1561423297539453,0.880413703094429,0.8744941558373113,0.9068524340948411,1.0284020990399254,0.9808152204322613,1.2188066467517014,1.1701866161901897,1.2571395130539147,1.157067005185058,1.0175683768916297,0.965858657722852,1.0061978044702862,0.8874850154904401,0.8733892429024577,0.8747453897688499,0.9983020126147975,0.936302596807476,0.8675685910439228,0.8709850090720459,0.9670364401700616,1.0115007554932884,0.8749328357114392,0.8580627451460754,0.8545221835763146,0.8328691132874319,0.8922785122320477,0.934735984873743,0.9312640701273086,1.0261455614150647,0.9434022004326165,1.0391648582290576,1.0858088477086347,1.0010500418971302,0.9921793077670753,0.8677265643347154,0.8890213890745171,0.859977987782637,0.8622786697479797,0.8659263537956465,0.8859848866977983,0.8596346410068402,0.8586428886703116,0.8589268624442139,0.8364950756461742,0.8856586922730681,0.9212664194435869,0.919367574801895,0.8529384007097728,0.8727941718624291,0.904949630122093,0.9346248635538199,0.9428537437182692,0.9562184561447934,1.0262452358429086,1.082380380223329,1.152307780286312,1.249701264588113,1.1699166275764956,1.164848230070504,1.0647511242173262,1.1332132763608203,0.998026899298235,0.9738443377565772,0.9815523858616244,0.9784938793250575,1.0936584965165561,0.9181806318767064,0.9231323067859833,0.9619636392698208,0.8965168710505277,0.890603379587462,0.8873747325775824,0.8922197675035024,0.8875315136308264,0.8880185330476601,0.9049048758913794,0.9940965701747823,1.2989089649899868,1.2237028421995737,0.8818126930504316,0.8729188842172191,0.8648491935899387,0.8493379568190148,0.9000714358019023,0.9625883723340011,0.9395530402379375,0.9870079690089637,1.0293048679653216,1.1577076136728826,1.2519879307740398,1.453023884206938,1.7404819231317161,1.524911860226631,1.326596270077535,1.2407414222123245,1.0798705514969278,1.1026709703104516,1.0632840313200482,1.0176913659712596,0.9819976804001582,0.9344923568752745,1.0231825313355838,1.0889583695340614,1.091704331314439,1.1924272275345023,1.05083203131049,1.2059952029686913,1.3740691707768136,1.2859179672333925,1.2765334284464072,1.204829457756935,1.5543442067631283,1.8278586903742498,2.9470911270176208,2.8189496330722563,2.4594709202069827,2.08462393810889,2.066823486673204,1.5966639097709585,1.453228761648792,1.421329179361893,1.3616720288278206,1.1760890129280064,1.1711646239329896,1.0821833893865094,0.956428377216058,0.9080162460518317,0.8942449752747381,0.8824244972211877,0.863797871756269,0.9237876881662083,0.8925126685143683,0.878679217148489,1.0391289456068402,1.0618769151912042,1.0450494648529274,1.152505285131294,1.333695708928103,1.4163086735390313,1.4244372492697281,1.1092161709891777,1.0063500298473262,0.9311489467538036,0.9340506402418343,1.0064855680479186,1.7079964068400721,1.4072919177722123,1.3665220519977224,1.199828752076085,1.2006944046946073,1.1984136281745148,1.4281919616140795,1.3530679667680061,1.2288572931991002,1.3476791477842978,1.6226739675342672,1.4564036932916702,1.3747214315937242,1.7620248058281058,1.7083441598752223,1.4556179098956672,1.711564616079723,1.2269831265106637,1.3964215689301955,1.354114932444346,1.187123303035131,1.2461976450080012,1.1806417395925253,1.2543596137853428,1.1040384451182261,1.001073593668525,0.9592403756800438,0.9464193488346567,0.8591609126789936,0.8592068209794483,0.9384948171011742,0.9084112583401347,0.8768934659536659,0.9674929307545517,1.1625536374401584,1.0115812452756512,0.9533937459390256,0.8916323091751522,0.8898873366442788,0.9156521494397188,1.050158335423371,0.9222769480847653,0.9036548233009094,1.0311562114707007,1.0430397489870782,0.9767792976334481,1.0213287771245763,1.2060576278589767,1.2042549222481713,1.0539090485253069,1.2517195891268473,1.403191185659745,1.3755367271267307,1.2250629438579923,1.0591111969143818,1.6157190332642326,1.5302216277637908,1.165561163876554,1.2305855992964618,1.0272845843012697,1.2775027950127065,1.6763970890775026,1.1434650394450223,0.9620725547381433,0.9487354811938398,1.0410396190524012,0.8529601520291179,0.9651741177960695,0.869326172779034,1.0260459878851,0.8457011866941103,0.8374427849496603,0.9429038642033183,0.8237079155067367,1.0253105178452162,0.8568665157784162,1.024611988091269,1.0559115421639225,1.2636312761747295,1.2090306247205291,2.297000253820067,2.4454286056649095,3.5504656201784432],[1.0240654284577935,0.7333240921338302,1.1988927445378816,0.590506881318365,0.7264543496880294,0.7742446624250103,0.7135109550391402,0.7327199653497846,0.718392059874073,0.6781671140835406,0.6528840043239761,0.747075599665528,0.7226347260647885,0.6561544800791068,0.7632111943606228,0.7337608764337902,0.728607523428773,0.7437182372330245,0.840217205743522,0.8128895027010014,0.9324068439505901,0.9999309815003417,1.1964806628120959,1.2134963043931668,1.0651998567264647,0.9067662498856388,0.8681572202540238,0.7535395722583811,0.7339772499196271,0.7230489130547751,0.7601048210245933,0.7131458723142715,0.7260201229847205,0.7387288664856329,0.7444598014267647,0.7723063224733641,0.7620682663787777,0.8175102918491535,0.8345157110272249,1.022041276114842,1.0051066758994363,0.9626399595336284,1.0368013507582812,1.0848450860386363,1.4100112237962095,1.6086935799970516,1.945294897818172,1.2972863268202353,1.3041051800198606,1.9085861597595009,1.6115067483735537,1.683824881324788,1.6001724880368335,1.31500364778331,1.582029280417894,1.376597600887777,1.1167103386514303,1.454019622313354,1.1545031623474384,1.6389483646439902,1.1250309447876237,1.0544073635923024,0.950772564730741,1.1303098748533136,1.1350194847245312,0.9045546340330772,1.008593590014895,0.8332808378754369,0.9464487586000973,0.9265092103221203,1.0761861031589128,1.471500279798278,1.0013980307496693,1.1221255219495299,0.8692309182586435,1.1306117322987237,0.8264629724705129,0.8090606946659278,0.8369494478153402,0.962303763899733,0.8684657833036983,1.119719699344845,1.0376703662275466,1.1488554402566857,0.9895277336209267,0.8629471599996907,0.8456852427280261,0.8962128410842465,0.8012027782499864,0.8023616432226803,0.7906933275815581,0.939590413501873,0.8616639097521738,0.7734685965129847,0.761222407055627,0.8442984146343198,0.8902250380204626,0.7500230485542725,0.7149017256558009,0.7195481675083095,0.7191921333622013,0.7711012723716097,0.8113595606484817,0.7976014581879872,0.8946212630486401,0.8053182303625636,0.8960582390688385,0.9525990404919232,0.870568142191797,0.8547701294375291,0.736550266945684,0.7545616364019736,0.7071331859642835,0.7021254421720219,0.7154639342704586,0.742984027427057,0.7548197482812001,0.7641354019744206,0.8214280345616947,0.7653220045591405,0.8005957925015316,0.8008637803254263,0.7839302607871352,0.6623904001124087,0.6783001400109491,0.7309913695350357,0.8065524877038606,0.7945837215164998,0.8001721301053226,0.862766293975585,0.9525765978193362,1.0226010870052202,1.0923625991722208,1.0090165975448877,0.9923080788436742,0.8862222224942267,0.9656143589798172,0.8018308899070857,0.7501500549650503,0.7805500569796758,0.7843430316569608,0.9646743253026229,0.7940402710848735,0.7654328812894872,0.7917662635159318,0.7513862882337267,0.7332479559605776,0.726384425890657,0.7304447543133232,0.7223217201597584,0.7419289151490157,0.7366460130816275,0.8789449185624464,1.2164206353798488,1.0919775896471746,0.7323675749422089,0.723050647414282,0.7145257213656726,0.7205551101261329,0.7704765806630998,0.8165056381821807,0.788608217025061,0.8097887953709263,0.8559235475334087,0.9608991307265377,1.0086218850758788,1.2514338039838881,1.5384401961858982,1.3532608246740034,1.1025425736066028,1.045204865319584,0.8791869039995402,0.91135384047454,0.8849318008939482,0.859348098904507,0.8352405209247894,0.7967264490233555,0.8741801161093704,0.9249400414052775,0.936113673775387,1.0153079441137787,0.8902572775501861,1.0344953835106037,1.186446629435639,1.0911212050179762,1.0754602129009108,1.0169672493300939,1.3329527086010375,1.606507478437707,2.7130488058252493,2.5500326232818864,2.4547832893226342,1.9836369721110345,1.9386155021041318,1.4585170207494942,1.394154678442633,1.4095641918939015,1.335632826940825,1.126548797629148,1.0932256459358425,1.0118392618498864,0.8565427387479903,0.7941846822250354,0.779430282484437,0.7658182252494069,0.7058836867879482,0.7700880030744625,0.773290123962137,0.719559965591275,0.9163172633666038,0.9612760796717225,0.9388458996311356,1.0365846924002626,1.2408330103780272,1.3859843151840905,1.4048577257101087,1.0479348571188405,0.9659375087624162,0.8466684302763668,0.8531062096500963,1.0317640134161288,1.738186124669206,1.4170905820952777,1.2901398384625615,1.1652017647770325,1.1634837358269403,1.1525384060601696,1.424312086684905,1.3604518880005936,1.1899976804024817,1.3315192297642189,1.6735005933079259,1.4735201722219304,1.3683732422431885,1.7694896759793992,1.7557102340898663,1.456285887712167,1.6970842174145404,1.197493713182558,1.3605794809202059,1.3258957212269118,1.1123201452932312,1.1615865003404708,1.0952193273458857,1.1373110499226453,1.0047568844669346,0.9143144769111757,0.8422339699302057,0.8382294379185272,0.7284661308006188,0.7100125886239821,0.776187284934573,0.7644168228955718,0.7319441527377162,0.8077402312952572,1.0329989484555717,0.865051564026982,0.7940290011091252,0.7471376358257259,0.7681380924275268,0.8233421184788012,0.980535464664548,0.8460150840772811,0.7849494034295501,0.9681429894348471,0.9889863333598858,0.8927492967701091,0.948793596569652,1.2075251332861892,1.1809712524540972,0.9993556263858282,1.2470147325330474,1.4262646595785153,1.3744194842765662,1.2001762847418551,0.994481762388245,1.6082381573372992,1.4587142310520398,1.1185994436515276,1.241873832647108,0.9698961400413941,1.255228137098141,1.7492966595398205,1.154637167926901,0.8920585862137221,0.7758178010603343,0.9338227191155271,0.7122396394437217,0.8695526892810913,0.7416222592592296,0.8991282398933672,0.7106200199407905,0.689178880567705,0.7979062627370594,0.6765316106244591,0.9097327116561936,0.684661789216623,0.8423294106700329,0.867150405464324,1.1955289077123934,0.9689675227043354,2.0786535238679136,2.241403056790547,3.2048007400663114],[1.0282534947983817,0.7128672668232425,1.1793714753002018,0.5379881878572893,0.6983246871542512,0.7541697445942435,0.6895525697473008,0.7101446001919494,0.7031536448536119,0.6652404923545235,0.6418066617715491,0.7373538099289252,0.7204437634353549,0.6587453949297228,0.7778364295447867,0.7446689491009595,0.7387729256590424,0.7638795879172159,0.8625550441914368,0.8545333505952183,0.9688437875110214,1.052993982177376,1.2419220317563389,1.2482166455851662,1.108677644754298,0.9390898606243464,0.9210795845140597,0.7843858340924778,0.7621972144737941,0.7482295844707596,0.777890527626102,0.7317164779849648,0.7445144728722124,0.7682699379607285,0.7756926561412343,0.8049663534668481,0.798374174530564,0.871936794964795,0.8966394756703232,1.106486202968656,1.0759188556997865,1.0371005652008458,1.123728515705363,1.1812081739559221,1.4999129353021905,1.6773402210492463,2.036185481937256,1.4191712087184714,1.383691280608421,1.984779253277117,1.739847824375414,1.771700315822601,1.7457909542560053,1.3963196375459026,1.6375939622949758,1.4849148550931013,1.2161505379020159,1.5343623275649154,1.2541853681941455,1.7097409956746425,1.2083383902597253,1.1410674734112676,1.0176394792439878,1.1914975247270805,1.206388144412741,0.9658782113869291,1.0506752134602118,0.864463402597946,0.9543861904087841,0.9456908317216899,1.0782514535253391,1.4704667101798878,1.0222983769389613,1.1551456266824405,0.8898359288783195,1.1594685543148475,0.8783058041185564,0.8617552085293478,0.8923099573907027,1.021074907407704,0.9326960362155522,1.1790968387803096,1.0800654429909646,1.2202272476607243,1.057886945719035,0.9232401011698699,0.908846881976774,0.9446439337391452,0.8477202023562028,0.8382525268340841,0.8255861555947871,0.9656498481519362,0.8905369358352053,0.800349363629607,0.7816053437314033,0.8671858254761329,0.8974751214121418,0.7581658715475977,0.7146588985509509,0.7169920256252702,0.7216891712382122,0.7756798418510823,0.8278415654655116,0.8077086763279884,0.9213866194372543,0.8205356855421017,0.9143785393355548,0.9745430889921821,0.8717112124974062,0.8466994115682557,0.7201418389757427,0.7498337716929909,0.6911718179920526,0.6927320938300606,0.7139512044061054,0.7404250713023733,0.7607381272640509,0.777871367793557,0.8368597097716585,0.7763755569108661,0.8000686991314493,0.7870905567071025,0.7613046563585664,0.6586521126952748,0.6698198743039938,0.7190090229339866,0.7845215505305421,0.7853300070287695,0.7917593861825546,0.8764456294119986,0.9642087837079902,1.0535657595483954,1.1334656304983295,1.0511662144904557,1.0195472313985317,0.897277694544548,0.9574732378663782,0.7947846417986247,0.7527816389604643,0.799685826185861,0.8190584666922162,1.0106354156404065,0.8449133602792229,0.8069567454497497,0.8481613451053838,0.7905753044764638,0.7580151902635124,0.7411596987141202,0.7358982011651737,0.7108715366480388,0.7277130495818253,0.7146136155708136,0.8632103981024122,1.2101285102796477,1.0846879535264884,0.7254318051554448,0.716944901913838,0.7120928383659745,0.7278908733624823,0.7820800445330894,0.8372413231088807,0.8273583361224799,0.8507049851121814,0.9162318473482105,1.0295390677462344,1.0587267704721048,1.306138817643698,1.5946389910297452,1.3836950157896843,1.114403435356066,1.071421830077546,0.9087187241355709,0.960025144071388,0.9325158669135375,0.9064769979713782,0.8754870207423923,0.831241918578301,0.9271897449974175,0.9884968047082694,1.0042224878338586,1.0734038529886705,0.9253091034816762,1.0871768934309778,1.2452741189232313,1.1491498320686897,1.155260423896518,1.1075274088547444,1.4450137810633268,1.7033449432479264,2.7451344864355747,2.5206301042613948,2.633035525695454,2.0639556903461957,1.9524023803672779,1.5074898637269663,1.4727496676378928,1.471507057030215,1.3759274770503893,1.1461015401072707,1.0997096947688385,1.0258609237044791,0.8553872817721929,0.7850730661746156,0.7692787150019219,0.7585861513773191,0.6769014511706147,0.7342256046924576,0.7481032297117443,0.6920986750731967,0.9028867098740772,0.9531787827292278,0.9364402459244463,1.0439992435961292,1.2562930366161207,1.4205973184378209,1.4247462784717497,1.0505794342143322,0.9616199757517181,0.8350176677924255,0.8464528494256356,1.0536570423784117,1.812862442100263,1.4259122429776037,1.3165401815113535,1.2063017449213174,1.2141085213040075,1.2014240379227719,1.484366531217557,1.4247059703022515,1.2215581784365521,1.3905838949931861,1.7516517556044553,1.5213893411685873,1.4187476073462046,1.8445132363698107,1.837481261221057,1.5100874846924262,1.7391672761503378,1.2269013772749555,1.4008074633995078,1.3768100825052931,1.143224685631988,1.1892781850134615,1.119141434697015,1.1494076884898878,1.0182302867868998,0.9257042452709757,0.8463158319460018,0.8380424475955404,0.7164716865549587,0.6892369155433152,0.7546244643982358,0.7377215411597106,0.7033967584385445,0.7863024765580489,1.0262181132437487,0.850146185221067,0.7782064644517116,0.7334282968416527,0.7604363117883113,0.813289049203926,0.9919536850895394,0.8569526475244998,0.7751598808678087,0.9829428832065579,1.0089982462944083,0.9002186870956029,0.9628142649038974,1.253468153816992,1.208924145506805,1.0026326300232486,1.276970565062469,1.4753610010776828,1.3954547678247387,1.2043186499661092,0.9726302006854922,1.6055989270944055,1.4136237826180689,1.1201078401620554,1.25354647663509,0.9528790161400599,1.25765845550093,1.7536148024042697,1.145228554784992,0.8705729309568978,0.7339140310780473,0.9156662229637825,0.6844675970544756,0.8652344397829026,0.7149824160482365,0.8714933868831616,0.6838005755565645,0.659429750837592,0.7695449279320031,0.6416150296558996,0.8880172254402088,0.651983908888366,0.8120078574092671,0.8407644369227576,1.199320301355908,0.9111066169848202,2.006831986474025,2.1713138378635355,3.0897559780400323],[1.071188875496679,0.7111328740204632,1.1571074265737649,0.5009036930323555,0.6675449567106885,0.7700607079759759,0.6670411830868445,0.6787581539982585,0.680249509735848,0.6093046920644213,0.5802585088932353,0.6658281885266757,0.6489649082998505,0.584556623990191,0.6866488290960434,0.6588232600792813,0.6620076915622524,0.6817569512183537,0.7815460057375989,0.7613590350275236,0.8853316427067754,0.9715000474509025,1.168893044144501,1.1918587902110211,1.039140905165885,0.862404654145029,0.822587799449445,0.704018481168484,0.6804444281114461,0.6624369102533298,0.6914533783804422,0.6509564350104236,0.6635211574709993,0.6803383183792735,0.690932001351517,0.7208752276754341,0.7118249874267665,0.7753894570586942,0.795753513203733,0.981100310484004,0.9709742656554433,0.9312998698612921,1.015261495458224,1.0689046544890222,1.4183498604402074,1.6118893831160088,1.9565426542577753,1.2960017463824542,1.2630206768946755,1.8917627773591146,1.6071481417545,1.6840741567098774,1.5509199358656236,1.270362036206875,1.565985047029928,1.3749943735392247,1.113325906131688,1.4435805169985725,1.1575581658092033,1.639953756724629,1.123950328175972,1.038967958030393,0.9199973220706561,1.106336897769613,1.1206075430336664,0.8734395349139517,0.95870080318102,0.7734022865944703,0.8751578290956185,0.8550614589129332,0.9976774548655325,1.4025643563969472,0.9309083269072247,1.0581747717459018,0.8103691275106101,1.0818239675388093,0.7763453528804976,0.7550185860838287,0.7872294384419564,0.9191097290829842,0.8244369189883953,1.0746285070378379,1.0083491274198308,1.115750481589927,0.9389368283223923,0.8168919926610574,0.8024939065558844,0.8492400578399414,0.7471241377877185,0.7496388923595055,0.7414092159848045,0.8913863699935799,0.8080464200619176,0.7114729887874172,0.6915123363445584,0.7612210440729602,0.8116325372423033,0.6806019924156557,0.6456865816136361,0.6660402498461396,0.6570929715969825,0.7085470192310744,0.7327069683412905,0.7115092852595055,0.8328891714294844,0.7422267327602098,0.8285103458426456,0.8806809601686053,0.7877101458035412,0.7787095465317813,0.6639223794333604,0.6808253596593558,0.6389022269297426,0.6237800394080555,0.6559331030810998,0.6823992195468139,0.6967783998984914,0.7028062380630634,0.7725277340155697,0.6984129781438301,0.7315857750130499,0.719643162119779,0.7102219569147081,0.6061561670648515,0.6236162022744016,0.6612931059355153,0.7548765646619028,0.7365433149245861,0.702766406693377,0.7757937980575976,0.8721590239344875,0.9425855218660905,1.0012241151796208,0.9204841757017992,0.8978296224333361,0.7913184303842994,0.8627983844314094,0.7069193918432408,0.6675333905488188,0.708600980699056,0.7383785658062308,0.9521595174431984,0.7578361075425879,0.7146740955683641,0.7554659218932732,0.6959683671740946,0.6741066263500806,0.6576696198858188,0.6630649068625846,0.6637471259100636,0.6796970290267613,0.6868860098765691,0.8512614435207742,1.1850053512070657,1.0315803841574804,0.6796696343274556,0.6561396862893383,0.6401209286434854,0.6560372167308156,0.6979179051073019,0.7422848092272346,0.7301479258984207,0.7469475535865451,0.8061289277436813,0.9056830438229502,0.9409205183889312,1.1662859249783437,1.452353351694086,1.2643248428082383,0.9959125273948062,0.94323191834628,0.7983016207649412,0.8379244002469152,0.8155132420505007,0.7936366859224141,0.7687435230261572,0.7360465896084177,0.803838219703845,0.8538924838542306,0.8815695699925161,0.9550591011207098,0.819265907470886,0.9610724854292982,1.1206150064168734,1.0167367312697346,1.03298560022907,0.9766890642203606,1.289234154909305,1.5634780348172317,2.592443406672532,2.3973232880154884,2.476163800146296,1.9269637684253054,1.875944527320213,1.3935266833088582,1.3664461944103878,1.4092443373533263,1.309920390247032,1.096238509110916,1.0455740162446805,0.9662006895102048,0.7873202604094847,0.7223907559356717,0.7139427486838862,0.70503951826474,0.6282429379450784,0.6832698245745737,0.7053274155556308,0.6560204517043307,0.8906392076374833,0.9484088291060729,0.9370343139554886,1.0559402231596275,1.2643057566672513,1.4378459307234166,1.4291786469960932,1.057706402157898,0.9414130059236012,0.8073894228863134,0.8294835324687442,1.0736194240129149,1.808389346766454,1.4049221204803348,1.267797940241581,1.1718808409820054,1.1613450376713763,1.1371741588028874,1.4325745668110368,1.3902718268016254,1.1812799932426514,1.3343545699166657,1.7201282708007026,1.505062324689199,1.3814725111792443,1.7817260695391661,1.8473013961797937,1.5069597488192457,1.7127387399718084,1.191816856914483,1.3340321882680934,1.3057025227648125,1.0541819850933023,1.1001666613510215,1.0431211275319063,1.056858914611851,0.9417558215893074,0.8713177501987116,0.7779716994634759,0.7809801613431476,0.6545047397161007,0.6397176513285704,0.7322068197638119,0.7046893999383453,0.6510453222769509,0.7635549603434106,1.0168588683066577,0.8443518982775721,0.768582250377996,0.7181839153969224,0.7177683174278252,0.759200613090293,0.9387626365921815,0.8176111807207669,0.731634326193247,0.9341988725574698,0.9759243755267722,0.8748678442100614,0.9251315219592595,1.2324973804108479,1.21533036805654,0.9815694212018322,1.2651405037182213,1.4759590227893804,1.399661297508462,1.1948579098132501,0.9309770977488196,1.5764058486951975,1.3577591676914127,1.109706363295012,1.2414017073881238,0.9219946386894127,1.255662242651474,1.751883068226728,1.1150626008914257,0.8164138922622692,0.6837776511266328,0.8937470152367518,0.618723220773055,0.8182696379552605,0.6561939301021249,0.816980712150982,0.632589908412693,0.6053613804017034,0.7420666515543735,0.6069761238572271,0.8528344697401693,0.6360332472799597,0.7863998926646246,0.8105408441406592,1.2357533039229014,0.847011718517695,1.8756480634660162,2.060913348609275,2.8530595591861925],[1.035066623163719,0.6754206075174322,1.061134836278501,0.4488744390170514,0.5950911378570853,0.6959459477826176,0.6029918470473317,0.6150416979579985,0.6314790025938762,0.5727392214474355,0.5567326731367285,0.6409503355895698,0.6292463288409977,0.5743432056363396,0.685835062841432,0.6517287170699801,0.6601516053773503,0.6922056563178051,0.7959419516074397,0.7851897935949788,0.9134183654754151,1.0054501818026644,1.2031661336619985,1.2050266183256264,1.0735430085535929,0.8942838076256987,0.8527013417700161,0.7103142337278648,0.6769166235391124,0.6484808600952157,0.6965952096627622,0.631924190187868,0.6499174295165431,0.6810203537932041,0.6771058928027893,0.7193183720221737,0.686428878783052,0.7814812628588241,0.7993428626232656,0.9829378314137074,0.9892986625869009,0.9744712946524939,1.0578554820034516,1.1026083618774782,1.4524493466949933,1.6391538808365305,1.9882386437327106,1.3301092714785634,1.2997816321190556,1.9133547804817592,1.6227489347448956,1.6877443284990754,1.5851615712417795,1.2684621765152273,1.5575937545638585,1.3964549932918648,1.1384349217859762,1.4654369450228886,1.183045947466525,1.6833234608317593,1.1651206857676086,1.0727377394396609,0.9418586904613606,1.14532358476564,1.151986464427549,0.9084012368034134,1.0056960589386987,0.7992155024110166,0.9023861435822935,0.8706074518521256,1.004824299339304,1.4004448019619147,0.9661967982589869,1.1055927622867618,0.8329571479638855,1.1085670246049073,0.8084505782420658,0.7762275568388929,0.7889542020870572,0.9296290382446398,0.8228810763991815,1.066115512256021,0.9913522531587455,1.0692674382937106,0.9177440898774197,0.7968997342711942,0.807614973421066,0.8492053458508617,0.7558460091943773,0.7438156728690011,0.7526793780100065,0.9069397692500194,0.8213443917391451,0.7145952108217891,0.6968866873391645,0.7835127078542802,0.8138805652613363,0.6642393869902171,0.6204799547733885,0.6361075908073635,0.6194196191666416,0.6524979075139891,0.6867956923208041,0.6409943303329521,0.7626172543325958,0.6620460950136594,0.7319117379828733,0.7873319821317002,0.6915193846354244,0.7121873544396963,0.5820980223549239,0.6090967586027777,0.5644970675301995,0.5683508866869663,0.625312657933066,0.6577409361726323,0.6903477089352943,0.7163295590472019,0.8076985809190725,0.7135369609304522,0.7471460876663262,0.7103467609798666,0.6935199243703497,0.5791703154064571,0.5773110562121161,0.5987395000530865,0.6880367076753898,0.6667362649075042,0.6189142174201766,0.6913545163613342,0.7954115254319369,0.8603519056599136,0.931539867539975,0.843809000439489,0.8293001885116095,0.7364119126695204,0.7977732812817252,0.6692790550983974,0.6485186202356754,0.6900091450745475,0.7597464788671644,0.9678677967554211,0.7731187911648847,0.7173430206416045,0.759519704699175,0.6841427916152323,0.6536282486348877,0.6289837890106357,0.6062021882212377,0.6046278225360461,0.6195930137525798,0.6256993447676119,0.7658290887268254,1.2143193810810735,1.0306955624257585,0.6251180003746702,0.5975031552539173,0.578366450808917,0.6103556180756432,0.637437100257362,0.6917008848411472,0.6987211968622621,0.7239885490591328,0.7886901008969865,0.8847555936976349,0.9232327775296878,1.1384629221564226,1.4377495882415423,1.2372986614926826,0.9753158003856078,0.900659565674965,0.7597180251173922,0.798833126817708,0.7724922217839456,0.7505004373235852,0.7148704519053918,0.6984226714435335,0.7588005077915425,0.8201388428695696,0.8275003604000986,0.9155240369102492,0.7544253403700915,0.9027465202148913,1.0681850622609887,0.9691376719436847,1.0059308396067608,0.9701186555270117,1.2987891876221074,1.5831319183393469,2.6150749853517827,2.4123350031524997,2.436449645153228,1.8881346329683624,1.8440617827260644,1.340885793096975,1.3201306130595405,1.354137544956497,1.2514194724132022,1.0272623699941086,0.9765988410103975,0.8675369081403999,0.6719764702063065,0.6216799610116328,0.6069355999229438,0.5856447190341437,0.5444088502013481,0.6025487425076164,0.6145911214734733,0.5982686228503277,0.8823568773254828,0.9418948354822501,0.9552901231576674,1.1080218367007522,1.3066700680547347,1.4923557429333878,1.4559434592746783,1.0702245626480893,0.9074323236321549,0.7479045272521726,0.7767961628939634,1.053177365338884,1.7687529228948702,1.3436376554987295,1.2102004800841741,1.0892285430766202,1.0690396939518472,1.034438933102791,1.335420080346077,1.318617476119627,1.0846552688980897,1.2565824673299222,1.6666057510178318,1.4528711689525922,1.3185790608761505,1.7167764196070159,1.8358273121786313,1.4797290059484678,1.6704510058498978,1.1252862274624422,1.25708822778346,1.217253677221925,0.9415331209785325,0.9861130769499686,0.9196957881269113,0.9369637905898808,0.8144482238431873,0.7340920556447377,0.6418010906572427,0.6528978347349508,0.5364168573530856,0.5698291833060244,0.7194958571318149,0.6996302513037441,0.6300091532114277,0.7994545527560478,1.0759335601417355,0.8670334925643827,0.778174224482863,0.6795966052974063,0.6181751626776913,0.6423959756244308,0.8245264153172704,0.7207743883746678,0.6288595612534763,0.8298110566298205,0.89109873635163,0.7923511732066234,0.8371961450910337,1.1802410749494705,1.1992182342863664,0.9242709960850415,1.2247828677652814,1.4655873096573333,1.4000847114254826,1.179668352803448,0.8676953751774388,1.5215171442984874,1.2452021575335213,1.0592533150329342,1.1915570722912403,0.8656771720214688,1.2445839730008097,1.6784588801515157,0.992799543062765,0.6879592793985231,0.6428603985547875,0.8482644627006014,0.5373006848272822,0.744338065117562,0.5631735828442486,0.7693299453113137,0.540536362038687,0.5232986844112615,0.6893445529006691,0.5363575234660576,0.8310364363102244,0.6029566744836803,0.7623272456140769,0.7886555902986855,1.2301302655280755,0.8051420727453464,1.7326755948973953,1.9442948425989768,2.653396074815235],[1.03401563686291,0.6547648780701627,0.9694076196453724,0.44017712553988747,0.5376101665664716,0.654910883221411,0.5641629199790557,0.5670770279891312,0.5964514077138451,0.527043141643545,0.524949874917724,0.6034030219288504,0.5705556822259997,0.5438354743912468,0.647524604989316,0.5984874643018342,0.6151580544195007,0.6492080464202323,0.7520972039796068,0.7410425092710021,0.8675437785758542,0.9691541132423069,1.1575780079744669,1.1552644671714156,1.0280949220741882,0.8567612666266591,0.8001975374173946,0.6565646091911349,0.6229321349023972,0.5848974008462293,0.6436264377739355,0.5672404351473653,0.593359043766213,0.6287380536546502,0.6116990947442335,0.6572823538320827,0.6160833004864009,0.7141925027092312,0.7172361478098163,0.8741601867766712,0.922113545159909,0.9203465046790901,0.9842798895910705,1.0297175392332896,1.3888002858471578,1.586513123740377,1.899637730643153,1.2278752487618882,1.2458524045884365,1.843199458860822,1.4982336401396998,1.588110127573576,1.4715024941194101,1.1759475226993443,1.4836790822816253,1.3112773772987636,1.0641092489624229,1.3772803274790126,1.0997256207205695,1.6625978499890959,1.11676469356534,0.9988134588162785,0.8788403105883424,1.09487440245286,1.0929377339132589,0.857302326029785,0.9647239451794334,0.7614344558214698,0.8836577180981635,0.8400100980539864,0.9717216114380329,1.3554042620439104,0.9442543832576891,1.0971508457797277,0.8000126087952226,1.109545159582283,0.7698588888924252,0.7309186762386144,0.7296697650680439,0.8676892449027492,0.7401081256966952,0.9644439367026081,0.9518733412006494,0.9258868373202696,0.8176003772041103,0.6999416767935756,0.7275792912087116,0.7692911469952483,0.7003730261418496,0.6868165629024754,0.7081370552995132,0.8710301061741387,0.7730389550028486,0.660141318652744,0.6434004092350689,0.7404839407499009,0.7664637182963603,0.622408979589238,0.575752244328639,0.6072892033553585,0.5624846355063174,0.5907206078433969,0.608977015946104,0.5469842992668584,0.6460115305004867,0.5601081238639373,0.6076962821694639,0.6605659698466381,0.5853227554728202,0.6606658461272512,0.5160844429841057,0.5225805021731516,0.4913253507861665,0.4937280363598803,0.5671149766717666,0.6033055475074036,0.6498778994559117,0.6730836806007967,0.7731710008813857,0.6794332822905965,0.7242331817236918,0.6693298802782985,0.6603820993831191,0.5327692904903528,0.522518790721871,0.5159415065416252,0.635848059293268,0.572997167102864,0.5275987157150429,0.5734501538595158,0.6975239041355771,0.7345360697900826,0.7907646643521477,0.6955549475370638,0.6993229321652501,0.6291473575620022,0.7036469745245374,0.6024335313826751,0.5818811082638881,0.6161024625951926,0.7187904263695086,0.9170296825564759,0.7084095896071166,0.6466970964882954,0.6816437231004586,0.6151037567388835,0.5888672316809314,0.5594374365993207,0.5218580653253815,0.5457140719742898,0.5753621694399252,0.6026183758850004,0.7408714890198387,1.2721877014165552,1.0472335088779938,0.5955317998555957,0.550497598933885,0.5095543293726724,0.5410672940824106,0.5548963345329546,0.5977182224176164,0.6066858980385718,0.6324791125761379,0.6878953693939979,0.771370834771389,0.8383244339489728,1.0202970526099382,1.3383288639216235,1.1471352071275267,0.9098510528233623,0.7915390207527561,0.6564391838847276,0.6834818123656728,0.6563382683503027,0.6391739024348431,0.6048671817409209,0.6234025544944204,0.6538827597858249,0.7108698022564593,0.693331985887612,0.7948976183654152,0.6330604857931185,0.7655583984896792,0.9258113727096583,0.8353664398370891,0.8750427281806864,0.8571645341094433,1.1725140927156026,1.5039622744088086,2.5625214032758556,2.4100924461428503,2.196003448764278,1.722294852788382,1.75222095874947,1.2157699379358597,1.2123015047303642,1.252413600803644,1.1698022577613438,0.9488240510013227,0.9219629323190155,0.7681975110523654,0.5800665622724624,0.553544835721008,0.5363103109279697,0.5033780838661335,0.5400112088231934,0.5707815327894696,0.5777479407902496,0.6195327823552018,0.9123706545300657,0.9599513648026166,1.0011009142000418,1.1801150670117022,1.3478587090309524,1.5293784537224546,1.4606570128160952,1.0974833775898727,0.8879913198400295,0.7152561408335549,0.7513076250923753,1.0297427813981197,1.639103332248106,1.2613793038740664,1.138458233445192,0.9728243453202357,0.9208542069904836,0.8892279351450885,1.1633023599776315,1.1749256217434845,0.9547840866657878,1.1279716858423574,1.5351566453789973,1.366790336201215,1.2101446356690306,1.5794755300339267,1.7483567510246585,1.4251743999239315,1.5915594776889086,1.0462504063144675,1.1501909931636791,1.0738478305903556,0.8033372508696189,0.8597235539380518,0.7652361872456093,0.8259725594957975,0.7036632928463566,0.6181265457758297,0.5559851537969102,0.5865833750929522,0.4884537014017727,0.6002667772207338,0.8059332766840887,0.7603703793775156,0.6762514398391009,0.8907518341973149,1.1646228672013008,0.9284952453607364,0.8367320364005136,0.6946511188216593,0.5690957732155268,0.5661898953209472,0.7084972951442489,0.6357889079540694,0.5610442114257488,0.7175357583168143,0.7915089533676298,0.7288311200838851,0.7495654610219841,1.085727245785973,1.1487448293976033,0.8819785959817114,1.1797707406830802,1.4071585257025303,1.3814927659021075,1.1839146698434786,0.871717542640596,1.5143188316255467,1.2069113505248006,1.023469109057936,1.1167391867698622,0.8242545838241362,1.2219104543300938,1.5664556628179758,0.8689700712400333,0.6298740542226108,0.7696903145593824,0.8833127583255089,0.5081769394676984,0.697108432423098,0.49688238132741536,0.761427568400349,0.5102589146390664,0.513810323044766,0.7265961267803837,0.5391920069559434,0.848521341844476,0.6216844401742623,0.7672257816997545,0.7901498260289529,1.2176916520098455,0.8228281588463656,1.6573774605436007,1.878077697794064,2.5085177241577834],[1.1217777175881387,0.6790198540605143,0.9696208652134818,0.4597815699405541,0.5807235920621207,0.7229418140107249,0.6076715534828521,0.6138720178416261,0.6398480763296068,0.5542042834034917,0.5496014438363375,0.6178886106615074,0.5839529497414429,0.562816790204856,0.6513061249310529,0.6071248500457755,0.626328669616379,0.6533333260998657,0.755719322861265,0.7376096219422342,0.869309649111631,0.9699452169148799,1.167112302812272,1.1688322507406996,1.0277341591288882,0.8529484809272803,0.7995890162807988,0.6602768247279185,0.6260955622606859,0.5830933036352556,0.6513597626584646,0.5696841011769642,0.6026492373510952,0.6188714627829787,0.6047839918549854,0.6514398722757729,0.6017215189321471,0.703729539958395,0.702707448212603,0.8583153847609513,0.9043249639472675,0.9121389710448207,0.9830970426017838,1.0204526168272954,1.3953105427426715,1.588468974200761,1.928432474630264,1.2401656737225188,1.2277811444651028,1.8552469599810566,1.5305081968170897,1.611996862314317,1.4749188455858415,1.1840818500285797,1.4987712276467076,1.3057947653617303,1.0539156671909955,1.3853056216744486,1.0961453621829813,1.6342106650702375,1.112467290193478,1.0006797451000249,0.8770891765211202,1.1069634854128818,1.0968842178469411,0.8574067161853076,0.9684555788445272,0.7624475112530584,0.8841192092694419,0.8506421114821147,0.9774513322039611,1.3438733654768917,0.9454283968541197,1.0941893398887135,0.7954714316055147,1.1035152629969214,0.7635245259418756,0.721879585417689,0.7236504169270459,0.8628428641262647,0.7235159598335833,0.953729315346175,0.9353627778168258,0.925698054207626,0.7985472903156611,0.6895540122057111,0.7143804859444337,0.7444579801649138,0.6896292555858562,0.6801701605140975,0.7027372532331863,0.876633455773739,0.7786694542428741,0.6688561971589015,0.6503038759489693,0.750665446881703,0.767726960074026,0.6358174367018938,0.596021003768183,0.642813450044969,0.5829867082431472,0.6075384305888714,0.6044819715098636,0.5546982615378875,0.6491412654262108,0.5697432028211722,0.6374577745505621,0.6772759058158297,0.6247983554106468,0.6743502239778442,0.5567800648723087,0.5381095551975807,0.5201980010082717,0.5153598789401337,0.5841586170042465,0.6137866465221002,0.655352155072781,0.6749800431617997,0.7829485857030404,0.6874153271418242,0.7314778721936719,0.6891601866928166,0.6787644134142377,0.5596607511482596,0.5500046452402254,0.5318083571759632,0.6601158230996076,0.5973641694411972,0.5413666891269309,0.5727838318105245,0.722561017855901,0.7570230367931289,0.7902904697253691,0.6949460393493351,0.6886426405810132,0.6122139618197805,0.6756082179462999,0.5839895846183578,0.5640424791085241,0.5990810692921475,0.7001431707829797,0.9080062086243638,0.7002632546280344,0.6325311584969421,0.664611770008878,0.6055896985566429,0.584161560889257,0.5636540829828264,0.5272948496511246,0.5692858890335388,0.5921145432632396,0.6436923758832155,0.7809628794367551,1.2839447831835966,1.0488956486294199,0.6250921393756764,0.5761457199560359,0.5219620038559407,0.5567816180675125,0.5590776929526771,0.5986907692176828,0.5948823160061069,0.6129111334636783,0.6615846527252353,0.7448948613746758,0.8021291753622986,0.9904043390709238,1.3076445760048547,1.118192027468283,0.8641742445367642,0.7590192700705628,0.631700815383201,0.6611467369279358,0.639152217591828,0.6222188361207972,0.5992703451179444,0.6147403467303065,0.6385833399049814,0.6868466147525439,0.6850679811882017,0.7802354354386855,0.6330783750156995,0.7599330646955552,0.9242148248326346,0.8245529449009008,0.8630519091685701,0.8363639912196575,1.1543707346170395,1.4816293844429664,2.482503839699631,2.29554899880965,2.265138108266966,1.724265877300733,1.7370586174717124,1.2096867183981213,1.2335189087543317,1.3139408921556615,1.2172821279878043,1.0057183069375777,0.9700417478129872,0.8368022588253846,0.6514680547151506,0.628557334830863,0.6257655226658762,0.6014981882166914,0.6170527346229661,0.6415032199116634,0.6665336908593329,0.6935804120919684,0.9648555196968779,1.02091123407149,1.073528917620117,1.2402836038836202,1.4004957876918303,1.5955892346776253,1.5019565055926674,1.159577102553158,0.9555848020817108,0.8046571204448288,0.8576525707792227,1.1743976334626958,1.7684328318049332,1.3580258471886053,1.222087138648148,1.0757453085957172,1.0365114405776235,0.9840541231906069,1.2737776003067132,1.2994493860367025,1.0457304112182635,1.2211279217082232,1.6447315191013139,1.4596471188833744,1.2988332816568393,1.6624435683809984,1.8647509018795734,1.501414933103386,1.6490139165267224,1.1180022001545165,1.219423336421571,1.1517649853906418,0.8740406010897727,0.9261787741938599,0.8458320517079622,0.8555813155762276,0.7549222002546988,0.6937616514383167,0.6093833477299508,0.6380503640649051,0.5602125972548371,0.6569086595119586,0.8401318027097986,0.8100999832129732,0.7328112182555253,0.9394752115362415,1.2224618465617105,0.995995454069083,0.9141087216216557,0.8007335926191012,0.6790408347402261,0.6493472933803406,0.7991798309220544,0.7509872108025266,0.6636143767450818,0.8127814810315807,0.8943519142623735,0.8247157784696196,0.8355873658437446,1.1991446004353286,1.256633617452707,0.9598163048121597,1.2760436126310304,1.5259560310065392,1.4650203285821428,1.2527991064664221,0.9353472121710581,1.5453849917245714,1.186205924294186,1.0897605851826242,1.1652331406148944,0.8772329982580237,1.2668928701012923,1.5878343828798092,0.9312267905313855,0.7072700934854781,0.793106343481767,0.9539499025638571,0.5945657968774294,0.7712261539230706,0.5508712833767732,0.7731071675462604,0.5724228539101036,0.5776033654675572,0.7392199942975965,0.5994738911633185,0.8775516325528577,0.6931873080520035,0.7907469948787592,0.8105421508433327,1.2933613236546668,0.8375741823227977,1.5275758753548099,1.8343634185519526,2.36188207423454],[1.1152119633613766,0.6955477801964807,1.056671137848642,0.4061117192665329,0.581503927462495,0.7148053119944471,0.592499470607373,0.6067130771445424,0.6117277160116675,0.533730822849115,0.5214447236139643,0.599388783346545,0.5818284357532568,0.5314717831101786,0.6407566462544373,0.6008662817302421,0.6017338638190043,0.6328187946967879,0.7421963864294422,0.7016061900843131,0.8505094764253537,0.9297566291330491,1.145165843289555,1.1682713733167105,1.003797783092716,0.8238196099810685,0.7557582796037119,0.6304455130785752,0.6049710020201393,0.5726922597257722,0.6371401791576214,0.5671071195216453,0.5848341765478817,0.6113421384942012,0.6058023473729716,0.6434860147787517,0.6138700741918778,0.6844683289615147,0.6949616293787428,0.8533330053399341,0.8614566207288082,0.863277052339214,0.9343475779648063,0.9956435141792996,1.352487800539526,1.5486538390140623,1.9096189625831048,1.2214592496968635,1.1953025523448306,1.8356044607757307,1.5479652820888525,1.662113410768786,1.4560636588789782,1.2290215584562767,1.5178894052302676,1.3031056682807747,1.0495120776778402,1.3688872902853289,1.0876321505527906,1.6038060037790542,1.0849791941440416,0.9817123603743249,0.8598495496217997,1.0752287066827484,1.0764290619336343,0.8265329168349699,0.9440059410199952,0.7206973904643506,0.8546329779179183,0.826143861174584,0.9714966082283282,1.3701429200568087,0.9114049557071607,1.054723818318624,0.7777501014032037,1.0567841144233276,0.7291876855381129,0.6938178427872675,0.7103476773400579,0.8578480171801509,0.7227971032614943,0.9722347390393834,0.927259743535054,0.9868964281054883,0.8124704620997228,0.7088104000124269,0.7089045320302241,0.7560196665479685,0.6729443659921317,0.6722184202421719,0.677308313104202,0.8450202276372227,0.7648743566084358,0.6471377957988383,0.637264700442952,0.735122671517941,0.7807897109726802,0.6098611730264303,0.5719354891641164,0.6020956973955409,0.5782043161488424,0.6412913762474504,0.6312928033136097,0.595467150134637,0.7374269676533132,0.6346559617013259,0.7125920816060037,0.7617577243309056,0.6965281073439269,0.6974140283248642,0.59542402604542,0.5911025869751895,0.5443573110975285,0.5209203375801679,0.5724083167716191,0.5995505554212512,0.6283547216114144,0.6403226395682972,0.7368842653030859,0.6435618564983728,0.6890249986267019,0.6613749968850654,0.6560730769810973,0.526289371108656,0.5365404348185484,0.5503398645657369,0.7021179509584066,0.648704195044732,0.6055173863816299,0.6532923896918932,0.7845261048077833,0.8465739023732524,0.8884489126073094,0.7985106411366041,0.7723277812301511,0.6557564025502067,0.745016834150518,0.6054457766470143,0.5698564919183947,0.6008765646123464,0.6621604866543355,0.8804542493125268,0.6769360702484742,0.6166452218732487,0.653204918791136,0.5888020123710423,0.5710902781017702,0.553195709548705,0.5507121541807386,0.5737764381451762,0.6020221860799048,0.602830324658435,0.7611367263611322,1.1873052028821054,0.9799947109277508,0.5888345115109855,0.5602202507188782,0.543259136792486,0.5664178026001188,0.6016039114777926,0.6318505108355876,0.6162565894239288,0.6324872110897934,0.6904490658061178,0.7835599562247038,0.8178997269102558,1.0386455296108126,1.3339401768722394,1.1434355593448766,0.8761365282029089,0.8123183943226804,0.6779335961437064,0.7174090326063237,0.6949161100632687,0.6730174448706908,0.6534347659338271,0.6313286921982072,0.6891337840789655,0.740973619497946,0.7632870321229298,0.8258124108362124,0.7100750262739632,0.851808677096363,1.0126675627575803,0.9028684962798702,0.9260783889657429,0.8617835455405243,1.190198202107392,1.4755711037145485,2.420845595723415,2.2089514176996428,2.408639856773697,1.804586461544628,1.784895170831008,1.3010515678219068,1.3251578356089229,1.3961641987411857,1.272477298404229,1.0518450870553726,0.999954486495596,0.9024663338482312,0.7149677359967898,0.6640195986905709,0.648683510753608,0.6350765475209815,0.5844544978457646,0.6299235969633199,0.6442283513786838,0.6303269115688932,0.8966503044602905,0.9671226049904768,0.9839227915802189,1.1214361025921233,1.3287578192611573,1.5290101339908992,1.4858899078276155,1.1128931654562815,0.9342841528595972,0.7850440090251515,0.8199455639369448,1.1556908479743575,1.8741977530402354,1.3887734547951127,1.2613720360537768,1.1698798012919795,1.1540801454473057,1.0960776029109214,1.401539907788302,1.390896511040229,1.1370497371002108,1.3214296170012663,1.7498485676679956,1.5223387437863984,1.3748181945449165,1.7602222037384587,1.9266108745319155,1.536988210825675,1.690744373933491,1.1656961698671395,1.294166831990045,1.2702315075616593,0.9806371713495621,1.0386341867225908,0.9809737635565748,0.9608961158251558,0.8630163808242569,0.7994916431553446,0.6831023200643581,0.6914472105557411,0.5800114291011097,0.5959271820966666,0.7224581051070107,0.7109572616588489,0.6524123561693487,0.8052219740220363,1.0783983618497897,0.8882252824710661,0.808748406154871,0.7310392436884446,0.6808806062105833,0.7082972220974447,0.8995491121015973,0.7819089891433282,0.6784619096979576,0.8943677584654204,0.9492578519607748,0.8369834196441908,0.8783034314854241,1.2526252950411731,1.2622250089201634,0.9536004540647205,1.2795018741989614,1.5318987022837658,1.4215920304842293,1.1845688191371875,0.8585449415657608,1.5063069548999346,1.1953061438236603,1.0672917259131145,1.228687153575518,0.886490369377334,1.2808112035000698,1.7335169642363255,1.05365289087903,0.7195395607695232,0.6002824368977818,0.8551319104426319,0.5832219006480253,0.7873224669524825,0.5822433216078419,0.7605168515871868,0.5784857709352207,0.5615570101431548,0.687578615001186,0.5561800523466126,0.8357044145268978,0.6226029200656188,0.7539068377181856,0.7514957419392098,1.2795642460246075,0.7514180389369668,1.6076364764647728,1.893248558331341,2.4790642738895],[1.1173569014241633,0.7002883233992445,1.0759453839781687,0.41858123229658134,0.5800531391596395,0.7382689514630146,0.6025069618158003,0.6107920270495388,0.6188033829119085,0.5187214503798835,0.5048549270991651,0.5793547271086934,0.5433211834578499,0.49548253412345283,0.5890971149571019,0.5458215113274878,0.5520930013297666,0.5654190936608436,0.6788336342465013,0.6246025410538786,0.7600819817936824,0.8285337333979661,1.050461599692622,1.0835368692036313,0.9135758824895125,0.746705727351282,0.6577066567832967,0.5687249034924067,0.544340012354484,0.5166358867000901,0.5731379311211436,0.5155040631926897,0.5360042517470486,0.5415879470611453,0.5311355667759392,0.5685279354514082,0.5314030217312123,0.5849978183648029,0.5786755227384562,0.7033139957757215,0.7345470211245287,0.7284924173936649,0.7903817408535493,0.8497152127172847,1.243024700330332,1.4661866156459586,1.7627391155751417,1.032321356486825,1.0597123191223352,1.7024110594340058,1.3460702478754452,1.5236897138586605,1.242443455625735,1.1109627344165527,1.4545120639801612,1.1497428703800503,0.9222187076349744,1.2627728698222795,0.9568356127607809,1.517153663777577,0.9746774251093534,0.8597347417445607,0.7482933782309837,0.9536030712137639,0.9641250385224901,0.7164381489674221,0.8504165725902336,0.64425663542501,0.7886055175944651,0.7602264393042404,0.9223976258948087,1.3107943167190266,0.8427244858965007,0.9678984709249651,0.7125923160621742,1.0037407120485202,0.637550970456581,0.6011383297100099,0.6200226785266226,0.7536252836421351,0.6149872048658521,0.8628290629635356,0.880513322722717,0.8381554058007531,0.6867233433157264,0.58982867522729,0.590946081977566,0.6705790539915896,0.5821185408692287,0.6022614332124033,0.592694698521121,0.7773221407480101,0.6810816737137575,0.577707221408003,0.5751374410203496,0.6554569416792195,0.7269304412271279,0.5794650311794773,0.5468141754434629,0.5976737454429554,0.5543246953115595,0.6176170809126417,0.5859883124795218,0.5465532314791054,0.6475492269805193,0.5785703710578061,0.6473309837895083,0.6870183777875335,0.6439753285973384,0.6759246791947258,0.5745876934919497,0.5555838882103352,0.530935221537468,0.4989852281827392,0.5486783631727313,0.5696678424594972,0.6013182953035674,0.5891584084104209,0.6827372885955951,0.5926304672027318,0.6411797698781907,0.6320379668742516,0.6364810140827958,0.498648926791005,0.5107948231018352,0.5132756914184633,0.7041062168064111,0.6113938136530815,0.5613705690957747,0.5745180117697407,0.7335856751291404,0.7674887611435797,0.7765709549203904,0.6803995151698399,0.6636878732312277,0.5811774902573656,0.6741925854527296,0.5480165827550207,0.5025587444840912,0.5187693581526395,0.5818295601309217,0.8119367719334865,0.589767896561852,0.527204250964156,0.5434525978971347,0.5092983909269888,0.5033270706597538,0.5097260310070885,0.5164104041584193,0.5523176802671664,0.5977667124334519,0.6118409160200502,0.7761093994132434,1.2065287665265163,0.9773203128763687,0.5872197752296252,0.5495403529595126,0.5202153624451228,0.5330578565002492,0.5578082308774149,0.5706395614296433,0.5246809705850697,0.5312222015488963,0.5726380703866699,0.6482887928197151,0.7066092316767595,0.8953733378159733,1.2132437987563907,1.0705824261751908,0.8017879242300675,0.7033437010604923,0.5773392309883029,0.5999883408771614,0.5814952377829853,0.566551650655176,0.5641634972552713,0.5733455634707249,0.5966232269566729,0.6183466023586065,0.6392546545427754,0.7045237647146803,0.6099772024964587,0.7255746872254505,0.8649365122106837,0.7609715403078914,0.778146746155877,0.7154548051503616,1.007582426856117,1.3522855792621653,2.3113844876085694,2.1891399133089373,2.0913285558772774,1.6177920158053214,1.6973044392682366,1.184416031350519,1.223831924207733,1.322538144591706,1.2311578020179146,1.0142406521011968,0.9855319144279971,0.8544196362610823,0.6755789459738503,0.632316986068382,0.615830964544815,0.5924033956181791,0.5646087915439677,0.6016446916007774,0.6123364573830461,0.6088348721276311,0.8826426918285822,0.9429939932786499,0.9543027657702792,1.0986352738896097,1.2982939503576534,1.482972518694497,1.4436371027232644,1.0657261589574616,0.8892544359427926,0.7400833521399179,0.7651504900308235,1.058853032281193,1.7379288452428383,1.3216679021770519,1.189132651726748,1.057466564639078,1.028125055175565,0.9973709496557193,1.268794916088799,1.2575386754415039,1.0492489068597364,1.218312903908119,1.607180646860393,1.4274789209245893,1.2872560840303022,1.6514050027864287,1.8054064113853154,1.4707762015165444,1.649601958974631,1.1140577301643908,1.2429381981318117,1.1688627754240166,0.9087681287092673,0.9583483189326212,0.8835124581446603,0.9034956290017576,0.8058293513780003,0.7313071473455373,0.6386882401109452,0.667778373826568,0.5522219639610896,0.5900430775936142,0.7361288636525757,0.709728730479371,0.6350400596414243,0.8025024235864741,1.0815250061624395,0.8700785725524622,0.7812246707636987,0.6941402480639455,0.6251586241809559,0.6412085099627101,0.804109843575982,0.7135573597407233,0.6261184533779027,0.8136628695917892,0.8704010795702272,0.7851084606189823,0.817659987358855,1.15322767200446,1.1772163517976115,0.914519964140025,1.2313316700570243,1.4406886171067352,1.3794960777225027,1.1750461237251764,0.8658835074074535,1.5211091973629307,1.2442868588948701,1.0341295396999346,1.1843858308736601,0.849359784785718,1.2465499669666484,1.7039615415985436,0.9991250419270312,0.6712515032583488,0.6480645564898321,0.8843026627261291,0.5499093507842336,0.7686126806632906,0.5553948944069106,0.747261427238108,0.56365853915733,0.5471401337491318,0.6751098591653909,0.5552297539958202,0.8253758997649528,0.6168962680457948,0.7602497392689215,0.762523919325719,1.274712576297662,0.7723417359559535,1.6557266692675787,1.8860133977433868,2.4660760388633345],[1.1107297670582303,0.6826682063362748,0.9923056863097591,0.37238880454773493,0.5461974219094855,0.699115336079857,0.5652136443420227,0.5786349667538518,0.5930918950656697,0.5114942699810141,0.5088934863954432,0.5717013132934348,0.5420475252287911,0.5113392549942822,0.5979054296428274,0.5571345121749612,0.5698953960895475,0.592602070947021,0.7042663251975395,0.665017171475764,0.7785088644520519,0.8545431570973743,1.0735198984181173,1.0879147640396187,0.9282622575406818,0.7699474444929036,0.6870746900630943,0.5912173288259467,0.5657123647182463,0.5319369017232226,0.5937484784800686,0.5243116327077115,0.550965056196503,0.568676675982264,0.544009435048459,0.5893121381431897,0.54446136493417,0.590119603308852,0.594301805063624,0.7123058760545242,0.7643433642791734,0.7498443220169839,0.7999219481124867,0.8592934463458277,1.266135220855226,1.493774963989914,1.779654815034921,1.0415846479330695,1.0691386206381794,1.707011819882677,1.3231651886503804,1.5215938157276627,1.2002962950927845,1.0796124251588635,1.4328005375985917,1.1540361975697284,0.9266647422730087,1.2539973639262119,0.9687511445173072,1.549568160480282,1.0120594074901337,0.8976314779816622,0.7793353970986152,0.9729182821906273,0.9781245595534676,0.7500296936419436,0.8894456904254193,0.6910428775093701,0.8345612668377671,0.7849604689311648,0.9377188737233606,1.3125355654116273,0.8860705472001668,1.0342436044182277,0.7374365344026617,1.0264114484262963,0.6819320003331327,0.6430504920646329,0.6496850834278891,0.7791421986691061,0.6243875135542323,0.8473794679105823,0.8951587685471246,0.8260811737254918,0.6861857539503776,0.5912948280086188,0.5992609073781486,0.6818453397856403,0.610652320779486,0.6230431803543051,0.6187743427382042,0.7965438581520808,0.6923461732032483,0.6073463201846239,0.5954858649430648,0.6814970568529869,0.7306454850965654,0.5925004924815367,0.550099346884276,0.6044697273011931,0.5462726383831812,0.5987279089048303,0.565905322483221,0.5222755770081488,0.6278707541977069,0.5585442474197314,0.6349337555603751,0.6561686545899968,0.6149919938652354,0.6897589335434496,0.5694626632459602,0.5314442683395618,0.5036120829660765,0.4867675072346025,0.5522695065248083,0.5737427548509698,0.6093870186262248,0.6270092028552211,0.7222075910456115,0.6356856309428149,0.6862235481476677,0.6446711701953232,0.6511019421444457,0.5124060553529448,0.4992187846078075,0.4908893980358186,0.6595210028704405,0.5855659343428048,0.534715070987755,0.542416410990341,0.7135759633881427,0.7493358764291226,0.750728359589713,0.65356244987324,0.6389338557141975,0.5627582024959129,0.6274473783297513,0.5513186966942806,0.5038199916424752,0.5327429066002807,0.61783147339528,0.8359845063704695,0.6169390749912381,0.5470694438517594,0.5696233151858802,0.5212233619969667,0.5038356546764968,0.49796859679945826,0.4914833578750642,0.5259809380492985,0.5796535870613093,0.6089877265844673,0.7838692046272143,1.2608998931438264,1.0057962288684037,0.5850691386154216,0.5376114327340746,0.493747966350427,0.5230468831595502,0.5457706668002565,0.5638513749176561,0.5197004621651411,0.5393817209367492,0.5938856117422595,0.6611998410294974,0.7188646005932063,0.8805553271888389,1.2094943394704105,1.0656475657069204,0.8176668885059717,0.6878702782865268,0.5826738558884254,0.5977507605361393,0.5784690840265112,0.5678069336456969,0.5664665408299171,0.5928975011919607,0.6042535150160032,0.6080423506465921,0.6250819782212376,0.6985852188114324,0.5990900007671984,0.713132709935814,0.8498022525323561,0.7534000819025697,0.781051076107405,0.7346126389344997,0.9971765532510358,1.3473762059427605,2.2968613845330417,2.161641105895616,2.039946550406086,1.5518046786833801,1.6636920803723116,1.157326335914208,1.210898863491576,1.3034688982339395,1.21085451630215,0.9997232501506733,0.9650382168907495,0.8157590146240538,0.6349615938948494,0.6159374917814096,0.6013527290969655,0.5657214721461191,0.5810766851519822,0.59691721818136,0.6133765504736874,0.6510827495705308,0.927585565040924,0.9820915282904641,1.0340171373195692,1.2029541762178564,1.372658872910292,1.5709799963102116,1.4808600559621645,1.1372735373754055,0.905086292420104,0.7502366909878,0.8024884569642726,1.1218772204989278,1.750884809458903,1.3190477361912776,1.1991531779358324,1.0503791997022716,1.0011650579574867,0.9607856420102049,1.2274268729378557,1.2554740902592059,1.0146787140497553,1.1975208969425803,1.5962982604996367,1.435361595600063,1.2848934026051384,1.6163185469664645,1.8413666411376854,1.5026267014110806,1.6397751771459623,1.1121999112211853,1.2008369940067858,1.1206084788018706,0.8456294816278709,0.894986335807362,0.8292326525445943,0.8261017616314887,0.7408139994520779,0.6732281642698046,0.5879328306228393,0.6276591110907156,0.534872561360659,0.6311206378785712,0.821570451617433,0.7824378797232736,0.7026173045430633,0.9106270515628155,1.1924884876465314,0.9592013397663443,0.8730312542244121,0.7484366441717413,0.6348139575326611,0.6133102627128656,0.7630821414847845,0.7083488482032266,0.6157770857674343,0.776457047554397,0.8588790500055856,0.7863255126038553,0.8059520944055928,1.1707311240955223,1.2370738984829974,0.9328215518487154,1.260056027854863,1.494531381613288,1.4492038894910921,1.2391388052957408,0.8909042247892571,1.5192488986354062,1.134454189788215,1.0248977612873411,1.122832444600043,0.8244015400534854,1.2451223724747682,1.5897161959253179,0.8862668594497637,0.6220865219012905,0.7879253541699549,0.9316669153063176,0.5805205783620958,0.7780244781302923,0.5482665801050948,0.7606464186638536,0.5730156893332919,0.5669700569853425,0.718651832574492,0.5941896002562077,0.8613934434290859,0.6801787275284265,0.7957501956710895,0.7656127361398046,1.323537272816416,0.7800715410820561,1.4749592311751212,1.850104955802082,2.2896692996940224],[1.1767148238253642,0.7470129339523881,1.067560682057629,0.39519880811250535,0.5846542123701712,0.7326470806614032,0.5847259538339261,0.6072553951928303,0.5978957535027414,0.4958564579280592,0.4904831533753072,0.5542933422075177,0.5299510635176161,0.47161650742590716,0.5646814563320373,0.5317599620170217,0.5456286789864165,0.5661561858967259,0.6852810012656507,0.6456578449889275,0.7953858566957323,0.8709574953685365,1.1016274814519704,1.143246929343798,0.9591474556392955,0.7810933486844222,0.6781086070958372,0.5810378806658454,0.551352969331443,0.5117786504619939,0.5599038927636559,0.5097779635380798,0.5294554287048416,0.5345128422333643,0.534880159678481,0.5759401617866119,0.5356230541418111,0.5859398826635612,0.5908845241050066,0.7279615967296044,0.7475855819384611,0.7513145663786418,0.8130154633243617,0.8734551983721911,1.2639040865934204,1.48227035313532,1.8083378680385718,1.061458463845594,1.0529372520446485,1.712848901547831,1.3752658458888984,1.592799664053735,1.2170256051564128,1.153496210820887,1.5042134531651847,1.1710340193030067,0.943195384944305,1.2669220641155106,0.977505103238498,1.5046308525303456,1.0064373673490732,0.8949882900178108,0.7772418049746235,0.9881424202553795,1.005076028350454,0.748207078790728,0.8806867687673344,0.6582402060400118,0.80346046612288,0.7553872806680663,0.919550510858939,1.3078922382505025,0.8487869401822126,0.9831463026576189,0.7217238743438472,0.9940514793614145,0.6498506358022419,0.6096533869228788,0.6334354074472472,0.7721991198133293,0.6331250745287001,0.8961810760222285,0.8908130065210924,0.8637180624181962,0.7053177482613177,0.6027334615599769,0.6079033979826701,0.6754568079409478,0.5937787417657139,0.6104973843181387,0.5871222706830738,0.7685754468847902,0.6609302966097395,0.5611817944454587,0.5547882466755722,0.63427888798971,0.705912445449157,0.5620630293444535,0.5312729370319481,0.5989028265884193,0.5622617571819069,0.6335206555389861,0.5851216959918569,0.5584755477528175,0.6920526866980315,0.6157617262882812,0.7060593765107537,0.7381818238922107,0.6893712000581842,0.7162295550382922,0.6173343481366255,0.5758623237151762,0.5325122618517912,0.5003244578434025,0.5355161987442482,0.5597710443381447,0.5966655973805486,0.593085092119044,0.6933762659940487,0.5934765856755251,0.6376812864184951,0.6145144401023206,0.62304622508012,0.48692347399433994,0.496206396480896,0.5002329327225916,0.7080438754582107,0.6250750223922558,0.6030328716531398,0.6039200719701217,0.7811847890260095,0.8365146509601545,0.8189314918756475,0.7322810825697821,0.6941527776050832,0.5784643327937071,0.6558407388588233,0.5505692523782971,0.4873827774330229,0.5151721811060065,0.5783141583387431,0.8254695129671624,0.5982882760332434,0.5316660869841825,0.5521863036450396,0.5001578810671149,0.49268014589801057,0.5007647917651123,0.5117393112348174,0.5475247130790915,0.6077808515606764,0.6053598221994267,0.8078113950588559,1.1962821344162515,0.9389563602205536,0.5831913217651171,0.5403123577835827,0.5272772842255785,0.542743673244096,0.5821365403051112,0.581686662870839,0.5253151756337433,0.533954319557936,0.5847860434468238,0.6720434272942203,0.7173177374705093,0.881679391708138,1.1757629106420615,1.0338518596280428,0.778867876064568,0.699662414497998,0.5961962882131981,0.6240514686833454,0.6036033507241533,0.5881491357039895,0.5925104878848534,0.5880513714694237,0.6158919797443544,0.6303909418806655,0.6694121865992181,0.7226276296765967,0.6484345345147758,0.7685032866699161,0.9031291522803045,0.800047495196618,0.8162095072340497,0.7533999016025986,1.0208013563390863,1.348949891581031,2.1740835777578242,1.994853364315844,2.165913962456492,1.579192421341772,1.6467437978333699,1.199383513034433,1.2900629988342673,1.4162253677829275,1.2915186504372893,1.0734484350470013,1.0189034422489425,0.9140590277281085,0.7235444771204985,0.6834917706977035,0.676869905777103,0.6612315241868981,0.6171659140563419,0.651391050252716,0.6665153676852635,0.6692945402056533,0.9261211726242136,0.9983164075485867,1.0333095090289137,1.169897137333847,1.3717827332712764,1.5799635113920485,1.5095148312187956,1.1544134675659392,0.9541956475835508,0.8071100230479678,0.8590277390582355,1.2101900082140369,1.9280397099792153,1.3990297074486273,1.2772920745602867,1.1814043696924874,1.1636558777530615,1.104943512240234,1.3952204625775713,1.4089315163864045,1.1441211168420018,1.3349037307320333,1.7593531179626258,1.5527314106907224,1.40222329737265,1.7434805487006004,1.9737151793816994,1.5876256285893997,1.7055711474746051,1.2007069784006035,1.3079697444514686,1.2665407965967406,0.9817717840627818,1.0207577906641325,0.9695068220047635,0.9235985946585644,0.849460202463065,0.7981927813100701,0.6815188861832686,0.6994301107662988,0.5991573421408384,0.6269363075271299,0.7560975620296081,0.7496566189839798,0.6986835223010388,0.8612414706350549,1.1199584823710282,0.9418699031332908,0.8648671507234384,0.7783055273130182,0.7130891129921773,0.7151192317291604,0.896145640096748,0.8040965606895024,0.6924060253026756,0.8945800784528964,0.9632576259214857,0.8567112963729544,0.8938054654595752,1.279074690363127,1.298468848815465,0.9679389842206152,1.3191785085914358,1.576788240401539,1.4653106632538853,1.2208912647683292,0.8604625939880687,1.4782580849213343,1.1198785521007588,1.0739617324044384,1.23539773602382,0.8874723644847903,1.294792091027545,1.7265650087280877,1.0412476440914087,0.6971772806093316,0.6252398771016926,0.8921505080102904,0.6121275158215324,0.8270053672565068,0.603947231638452,0.7570532512289576,0.6148426499198129,0.6003990188338245,0.665945117332009,0.5913476396105526,0.8481895075728121,0.6789019091204143,0.771825349690707,0.7502452850096172,1.3777365927983942,0.7720162523032843,1.4731522374368846,1.887029951416481,2.315876143105241],[1.233206824940566,0.8058151314160279,1.1478882967339807,0.47162699874034975,0.6492927562569806,0.801156864049878,0.6589610122363502,0.6860172323669289,0.6644574015025831,0.5640135172821538,0.5569271829949003,0.6174178187227585,0.5893886583810073,0.5189717816851903,0.6018761790239417,0.5768308146299349,0.5924441432918903,0.6062781352715839,0.7136013464924075,0.6778222605038299,0.8217116576509573,0.8860631901736428,1.1150770197345379,1.1676519639419698,0.9756008073143768,0.8071753677792627,0.6929913682266347,0.6234952042755991,0.597810510606366,0.5595064254668131,0.6012648136552641,0.5644480432580169,0.5821965058184704,0.5774789782995341,0.5838744310854739,0.621463934134447,0.5836743140288884,0.6127670943101251,0.6138675638105637,0.7349836517360313,0.7462446181040546,0.7484315302365784,0.8079114832098718,0.8732639242268133,1.262538358086929,1.489969221705147,1.7861428941638997,1.0424684546495022,1.0337626829444457,1.6907737581662496,1.348595362762496,1.6075785814983485,1.1808284586712978,1.1755785113697268,1.5288170050309957,1.168631099865679,0.956299745052635,1.2605871008475122,0.9863562948695204,1.4905213405990476,1.0279132817193497,0.9186675992097959,0.8021924589962062,0.9911223104986245,1.0217716341545848,0.7731860899984279,0.8977731514091655,0.6799223563778423,0.8199262183745497,0.7756532405897957,0.9458397361379182,1.3221210248855204,0.856300448359414,0.9744251135412185,0.7491971371362153,0.9936086716741663,0.6781809795488867,0.6446944284308508,0.6739989563359843,0.7960076479494762,0.6675521480227183,0.919368977286266,0.9146698216746012,0.8805238393800762,0.7200576307525317,0.6331133012515514,0.6371271747399894,0.708680530403399,0.633570101010693,0.6585932006962408,0.6199555415867135,0.7941084061908226,0.687770714673483,0.5991879609378635,0.5920016469707866,0.6564565293001523,0.7293509973816737,0.609650151553472,0.5892787258924929,0.6571469362811599,0.6247431996759816,0.6977012926218685,0.6378511306303095,0.6217329385929841,0.7362297278998181,0.6704455184678416,0.7478167578136612,0.7781632379871395,0.7413422466350102,0.7574805110949133,0.6815170983602347,0.6462402484228432,0.6093733072336874,0.5715410606778935,0.5947983698488629,0.610058471947883,0.6446020973631376,0.6222314215729564,0.7082731526108339,0.624038794541263,0.6568761950090045,0.653287885895671,0.6615234435788757,0.5359073614759227,0.5635814134006802,0.5672976992906467,0.77446212660877,0.6852763267017267,0.6622353583125229,0.6469275434906641,0.81887926710883,0.8627223567431748,0.8353788563348303,0.7594018261427748,0.7194469973532344,0.6144616772859531,0.6920666311451331,0.5888386372822032,0.5260596188709252,0.5536018949302508,0.6063523580099521,0.8448828010436665,0.6293603112275561,0.5680357760965847,0.5803892265766203,0.539738603167721,0.5369539017624342,0.552729507412622,0.574470848072432,0.6136868178501905,0.6736382365222626,0.672146250702044,0.8772678362200617,1.202697400923882,0.9539270116537065,0.6497087648679414,0.6088587905366311,0.6037131485008382,0.602626745019662,0.6436818144898961,0.6275808531888909,0.5661007466953087,0.5658348135035236,0.6090620116337746,0.6821258200656479,0.7240532868919745,0.8713909639558496,1.1580391168974353,1.028167481274914,0.782682123026662,0.7100013834803802,0.624302359154935,0.6488260736745632,0.633927636851386,0.6232229919169279,0.6350517392388816,0.6323178914798351,0.6572288475464573,0.6599272438502344,0.7013681622764979,0.7380600846747399,0.686790587613415,0.786612119818007,0.9048825331425783,0.8066230675213516,0.8232184025649097,0.7638729979698232,1.0121689800398976,1.3477232304495723,2.1108553645687476,1.951045381815772,2.1062801660386774,1.5389612078024397,1.631487841632889,1.194245121906913,1.2898433564640974,1.4264527297273644,1.3029134722114768,1.0922274318293266,1.0507079083887105,0.9499983291473901,0.7795469909073673,0.7400439564297546,0.7238238098738028,0.7162917956881256,0.6696315933726085,0.7096252611135279,0.7236467962175389,0.7093063758226171,0.9516885620504991,1.0224937216510834,1.0329832156749628,1.154925698348124,1.3722408492974554,1.5566747806423655,1.5165575793166035,1.1581925382973337,0.990725668689821,0.8453198231905834,0.8814712930152037,1.1793445544902537,1.940670439025364,1.4046784980305058,1.2940022871572876,1.1942037483549275,1.172729852589417,1.126943234541783,1.3993183251292207,1.4036207859419565,1.1567506729386043,1.3414312827281916,1.74361470476728,1.5383821130669513,1.3990328371895244,1.7349842529103248,1.936617636324895,1.5710159667468004,1.7043289459283082,1.2089230068867824,1.3256701392146817,1.2847719999586071,1.0184312308583205,1.0591645156775602,1.0166408210483326,0.9772805367245905,0.9014579974987861,0.8656423341313604,0.7519764322127168,0.7654623909307346,0.6649101073409623,0.6716344907123841,0.7718602324770695,0.7695583687447518,0.7242709994512198,0.8564726707442633,1.0979566775652072,0.9412320043791554,0.868342682774636,0.8002704387418113,0.7603422080968512,0.7729079916489339,0.9449521474764941,0.8455451863411292,0.7467864722540639,0.9326017925783612,0.9858666184491134,0.8872823436035385,0.9202442123943788,1.2740493686757073,1.2861881737748266,0.9844862988259143,1.3097700505160073,1.5425422082206184,1.4359199922810748,1.2030932973697206,0.8783588030270186,1.5121893483423672,1.2280536726689144,1.1280653939745071,1.3254986172625793,0.9542133023595861,1.3410813821497893,1.8405496386782731,1.1656654030919034,0.8040596785868284,0.616797525136164,0.8940417794724385,0.6589708149005917,0.863652505119928,0.669949445775958,0.8041341778736544,0.6805241661126056,0.6616356873880213,0.7099563358673519,0.6430972531522869,0.8863466214095117,0.7146509020523087,0.8033664898906673,0.7880704441218698,1.391123752221837,0.8045043272220664,1.577342217350083,1.9243063291918117,2.401551314565432],[1.2018065683118697,0.7431604134479288,1.0402931148584151,0.40756744883323376,0.5767580835382087,0.7455153817372802,0.5845502578837349,0.6069326849281237,0.6148617764355911,0.5003856792732296,0.5043191622105884,0.5606706937583119,0.5176204552227586,0.4612658177019268,0.5342972677793677,0.5047127965594264,0.5210376224568284,0.540271751239101,0.6459930920136884,0.608949867356559,0.7465953937191884,0.809236172626579,1.0438980836959237,1.0829788902816653,0.9174386827541946,0.7469012183533054,0.6275188603452992,0.5617239248805057,0.5352930419637334,0.4832095660702725,0.5403479418909406,0.4822672969311002,0.5097280644077592,0.5133093571515382,0.5034568246871788,0.5510544813260998,0.5002447090351767,0.5224218661322568,0.5218151307655655,0.6152960154614667,0.6713283741695578,0.6681096688394836,0.7214181390236896,0.7977999129739606,1.2102932617122728,1.4607181831925498,1.697594317944722,0.9412673620727996,0.994161670652027,1.636059023400123,1.2458590529276994,1.538058929202164,1.0993684253660585,1.0731168508738949,1.4660320131336402,1.0825129335311319,0.9025623356866808,1.1614387656793632,0.9113397773810333,1.4736212119763543,0.9564996807674051,0.8277935478610607,0.7002871914180313,0.8983530239115037,0.9280853010718558,0.6931022056955933,0.8284581017047685,0.615083706500875,0.7646385163535411,0.7263530777765214,0.8985423763052172,1.2532370935467902,0.8143983529380852,0.9256360191658469,0.6896290928120701,0.969636101674369,0.6080522659936057,0.5707008106302417,0.6005359413246691,0.719814845017881,0.5636346512225605,0.812859956031653,0.888394170724217,0.7315970282857012,0.610634625347465,0.5217734661883919,0.5409640881747585,0.6200103399789725,0.5588473080301707,0.586987903065796,0.5605484275002289,0.7536948709090969,0.6398459076110454,0.5319302633411194,0.5272380570480759,0.5971189162374739,0.6665443051155869,0.5478886179747327,0.5285368640012216,0.6113506034903741,0.5500037703369485,0.62215471678688,0.5509051176757079,0.5232676240760588,0.6448935462960615,0.5882546512898424,0.6764564596937558,0.6795984736606635,0.6545013009446674,0.6982018343363555,0.6005809003080872,0.5447866775383958,0.5116228634169224,0.4795946320610097,0.5123466237921087,0.5366988088160887,0.5933162097943099,0.571327084760884,0.6681970811214886,0.5651752413527567,0.6021503086312148,0.602883656263961,0.6105053128681166,0.468524414074933,0.47667162607399477,0.4688220484698741,0.7071182707654445,0.5811248604494866,0.5673179680719795,0.5392911671272199,0.7431704052514759,0.7862042254785536,0.7325224069960102,0.6439869678420815,0.6106440626103448,0.5184986529948868,0.5699917185181177,0.5378511558041472,0.45178088812784406,0.47436762203649224,0.54849564130443,0.7905814208432925,0.5500873562956312,0.4893291030194116,0.4944888867090834,0.45443662260950174,0.4542199638086763,0.46913234824810407,0.4812975009000867,0.5315999221962491,0.6000819741388754,0.612305107800902,0.8162179292182157,1.220996284884737,0.9303269884400232,0.5895201535644181,0.5439307530542328,0.5190072548553968,0.5305068902779224,0.5565312201235341,0.5351813262982983,0.47236907100250897,0.48254621177996987,0.5261158495767292,0.5959903826429551,0.650142613383697,0.7822028008687144,1.113491457788335,1.0210919270590701,0.7671567001663786,0.6207912693521518,0.5448194854505045,0.555318932529053,0.5271332375651607,0.5206499367169753,0.5476556643897348,0.5599718595025142,0.5872744745435964,0.5474706230096937,0.5929561688913746,0.6406128471935191,0.5899867312494892,0.6999908697388827,0.823246721476555,0.7193244020247105,0.7329535474698874,0.6603322706895969,0.9059637101128234,1.322364907169814,2.0643187687628406,1.9743602167617158,1.8295658192513962,1.3709172562660294,1.5650802874775598,1.0964094871218157,1.1935872626190707,1.319493400341795,1.2371451981370443,1.0377641791330166,1.0044748689610392,0.8500332554139773,0.6763554032903828,0.6575399325504869,0.6367466038726995,0.5987553835390775,0.6066540695546159,0.6234323325535955,0.6175476357856975,0.6595114180330168,0.9288826169586694,0.9873110053907088,1.0274557226754655,1.1845698187932514,1.3746795617479917,1.5676901994710608,1.4905787946245743,1.125349377404819,0.8919612947520316,0.7415251388130548,0.7859898329110431,1.1201229163222202,1.7467625038517716,1.2935192952187728,1.190623798409181,1.0581426392867823,1.0177892281502545,0.9815547581689641,1.2249365792662823,1.2571293737180043,1.0317997152761806,1.215821060963889,1.5973843715721383,1.4521738953852414,1.308857277538129,1.6116880595119394,1.8468695073911046,1.5274816232155792,1.6471412921424906,1.1477776775636772,1.2298885519894645,1.144851620087183,0.8747300929225592,0.9194508337664408,0.8552811015262253,0.8413971114019689,0.7723900608097435,0.7211496323235097,0.627032973580035,0.6660920125196648,0.5677678268486401,0.6314666124948062,0.7874947971634493,0.7647660836885085,0.7037745454999499,0.8848025831915559,1.1504143040715271,0.9479401087609536,0.8606391754544586,0.752921345170966,0.6424838507802795,0.6331432076255534,0.779633192337627,0.7089244724927585,0.6218848039196332,0.7922611551967275,0.8605014714004119,0.7797427507739669,0.8173647170106559,1.1716338296022748,1.2267239797924967,0.9283750745694115,1.2789134022427473,1.5003381845893842,1.4456959366901447,1.2422513727274036,0.8730659930291985,1.4930181849218256,1.1056503113878686,1.0150096618782742,1.167912349356167,0.8384040995095042,1.2782858803254014,1.690213862033708,0.9479492782872789,0.607332370058744,0.7420510339983759,0.933763619389038,0.6184574644547208,0.8304618194806779,0.5859969308344473,0.7568672291559493,0.6109027803199292,0.5994927985247849,0.6742350885316442,0.6118676059341045,0.8542586917691052,0.6967788456445806,0.76710096012662,0.7516539967271482,1.3861084701300137,0.7778317727815445,1.4428691951043728,1.8810736451332026,2.2598805376236784],[1.2594817897547919,0.8155441168951453,1.0593632455038333,0.4738706798513676,0.6318254680368581,0.776664282021599,0.6123704200376519,0.6412970980171883,0.6320702672436612,0.5187052659379567,0.521421345630225,0.568211429113792,0.5344402675823392,0.47255159272990016,0.5407127453478751,0.5151579312672909,0.546271524504164,0.5624416836729288,0.6770245238523404,0.6448951196090801,0.7808610809745632,0.8572115809083372,1.0915306410244103,1.132733571763235,0.9525278943271815,0.7754507053529212,0.6784093860699114,0.5919004475257221,0.5609864009292646,0.5131947907890271,0.5564972795044774,0.5080977592967499,0.5360039115493225,0.5355486441579911,0.5256882996598237,0.576447673565327,0.5353213507090104,0.5674422933613861,0.5788535477710168,0.6996410256251652,0.7293778566621845,0.7237499558746643,0.7818855206289768,0.853995821629458,1.2517913161946799,1.4828188434549097,1.7703930108528545,1.012739224236401,1.028733237939321,1.6786037234600715,1.3275159050979162,1.6068326429131836,1.1598021482614937,1.1418024930493935,1.5116206056606627,1.1328182285766701,0.9304120337009687,1.2001936813885938,0.9470538006035197,1.4857585391811063,0.9866552288085113,0.8630572507424368,0.744333674116511,0.9592401588019105,0.9849264277759832,0.7271479419717275,0.8664169966901248,0.6477246175516308,0.7928712334617357,0.7521907778198722,0.9136973758299367,1.2796156118112603,0.8446270390345255,0.9589099959894468,0.7090475904356122,1.0004511135871534,0.6416511385751684,0.5986114564307775,0.6290489597752944,0.7562473012717112,0.6232244607272022,0.8792266213135639,0.9136686018001688,0.8149830669877882,0.6796182188351529,0.5792835610494479,0.5930316148991929,0.6679876413032512,0.5892554717909287,0.6111409184673882,0.5822530758451776,0.772330235498125,0.6581767570121039,0.5542538667904237,0.545535363036275,0.6162243816579291,0.6711670041028561,0.574270046250101,0.5573123936538456,0.6498725629639447,0.5776656837711422,0.6645744705328388,0.5902732616079562,0.5918116299121597,0.7213968346946916,0.6691283870435958,0.7665967694399372,0.7867695493620083,0.7451550870365379,0.7715060520113541,0.6800244015084795,0.6083427738374909,0.554660943284993,0.5178927283234077,0.5405108359860052,0.5650292887295083,0.6161769556258496,0.5981674040852477,0.7017508730089845,0.5911768037027155,0.632964776787813,0.6157884030313954,0.62419408378446,0.489977551475727,0.4970105122040866,0.5052581431329525,0.7450865058979783,0.648246517901568,0.6486063755531118,0.6238656879392523,0.8184889655562125,0.8789899166380795,0.8287038800184958,0.7518553664317386,0.701562052701931,0.5930704334852621,0.6387282805751603,0.5772645868912648,0.4949055549164913,0.5248343148037916,0.5891248017799351,0.8356548067781514,0.594127103714727,0.5366285518895482,0.5520560701181835,0.5058575513807583,0.5035416900731685,0.5064977244726798,0.5258816301852619,0.5668934000975719,0.6448775134030065,0.6509151824147748,0.8512422652376712,1.2399803632348139,0.9454720608043324,0.6341411241168807,0.5748216053335725,0.5656248188351527,0.5734746742511486,0.6114308338293059,0.5903190692509449,0.5282831571897156,0.5382276722951576,0.587106161340746,0.6645816252700515,0.724886990916829,0.8498818335915899,1.14718563168201,1.0351574323364379,0.790403467122457,0.6896634374508489,0.602038523502382,0.6274838246941581,0.6080413799615774,0.5923206816595894,0.6193005763116466,0.6050670908966588,0.6446967601659751,0.6107897385657176,0.6797689422816395,0.729993674094222,0.6725377954284363,0.7864052539606247,0.8986707953557979,0.8012615075387762,0.8062482454206445,0.7432384617483097,0.9621218130056918,1.3368584796019118,2.067848471591309,1.9230281516582792,2.0089819420096795,1.4867590847322874,1.6102569185080595,1.1722255611967725,1.281211504082009,1.4048765584495115,1.3015779668953296,1.1123161547442817,1.0557758831086093,0.963855480442996,0.792137224655152,0.7542682156365282,0.7691120082771026,0.7512572780307831,0.7321244545734867,0.7550131402792348,0.7667820081309593,0.7949344831021821,1.0145228560951116,1.0835128977112822,1.1421508744767594,1.2798994002764275,1.4520641055397536,1.6674069109509235,1.5661149259269533,1.277101847543643,1.0308795851451125,0.900227871833183,0.9690846566001883,1.342822040718847,1.988008288948426,1.4797964559826347,1.3345570631134267,1.2463299133165147,1.212378231278626,1.1541202596220297,1.412952156539241,1.4469920360968207,1.1908850028602909,1.379905132114432,1.7846718005922517,1.6142814816984994,1.4579875007975753,1.736240072528604,2.0221102075850146,1.6621537754441391,1.704173133764739,1.2530610404015285,1.3136880222696816,1.2757713750855069,1.0138993053011331,1.0329808146371566,1.0089816251171404,0.9302975006740932,0.8790628587551367,0.8496406151245945,0.7488683917613118,0.7665341245804025,0.7037936487011394,0.7523501885575186,0.8689436892226532,0.8631843581977361,0.8284285439040492,0.9911926732329722,1.2203313012805852,1.067257747428699,1.005951989008375,0.9125182737630657,0.8259679566714512,0.7978167983364423,0.9615368642603179,0.8908133789977394,0.788329304151733,0.9572036924829884,1.043864823421856,0.9486695167860059,0.97204592095409,1.3530051056468728,1.3928466336691085,1.056006530345156,1.3966017595886675,1.6639495716401935,1.5629347665492959,1.3264065871499298,0.9636713681880655,1.5162456283787111,1.0919162259586845,1.1325134453956522,1.2459884227488025,0.9453206371176646,1.3307065846307522,1.6805745952273503,1.0331495461358913,0.7531633625588133,0.7860033978704686,0.9840312573464228,0.7143998790095698,0.8955970971112446,0.663635523163884,0.8106777734895538,0.6978867468658996,0.7046917276008317,0.72757642965452,0.680681189701434,0.9051889232924627,0.77764219590965,0.8215880619591013,0.7852752274753034,1.4476631630476429,0.847868092811471,1.3589985535181446,1.979088028861438,2.283474903045081],[1.3391279732467067,0.9751587163375888,1.2628432371208815,0.661760879972364,0.8175402786273088,0.9040627285818619,0.7763428351383866,0.824897752975039,0.7766037636644526,0.6719158272101533,0.6647897524548303,0.7368518777757346,0.7099597451274287,0.6161411551200159,0.675143256028711,0.6936804549510979,0.6848223601285395,0.6977586371179322,0.7937393582897113,0.781518882547073,0.9032008572160322,0.9947263939826433,1.1931830019238343,1.2533240944100603,1.0932394817369444,0.9105404361114646,0.8220509710467464,0.7382513882581507,0.7177889262203131,0.6980446040572532,0.7005591153205867,0.7119939772514705,0.7253477484137638,0.721510375352745,0.7394796664410765,0.7662174921192009,0.7595137372428605,0.7623582559573658,0.7800763004590944,0.9179355271446955,0.9006350628822585,0.8875709506202523,0.9461125493521082,1.0157338943828338,1.368422745501556,1.599930250658866,1.8837273855078343,1.1642554379765837,1.1691385934146428,1.7904649192881916,1.4791262607342726,1.762636152184635,1.3033016738904761,1.344940229171123,1.7164163740742666,1.3068273521350988,1.0831572743924684,1.2371214642542412,1.0825358610751303,1.5649287225391317,1.1285284640028035,1.0158550666461508,0.8836043188515272,1.04932601594824,1.0981997100138885,0.8716637519718056,0.941524716958215,0.7525735878782448,0.8460045468887986,0.8070646092169885,0.9664842273581473,1.3161877265501118,0.8747957040821297,0.9819033102272601,0.8000415928477153,1.0270152490915228,0.76946084060973,0.7678817747725951,0.8446756489734574,0.9391551898387109,0.8488823627959599,1.0718285649429569,1.0383904572011884,1.0623858083781772,0.9095643366406516,0.819762513342463,0.8127782328348206,0.8710584021750943,0.778954235272034,0.788577722756525,0.7230246747694142,0.8515969501621353,0.7494432067691196,0.685484783149127,0.6804472508482533,0.7116282783430076,0.7898130663861114,0.7257936596281492,0.7146515215116462,0.8133217047181881,0.7863697343753819,0.9060765912279898,0.8179451846546753,0.826028987818669,0.9476300685928958,0.8913089303994789,0.9762623798583537,0.9911558086880654,0.956706330753707,0.9486379857230891,0.8824526475980929,0.8263968434609591,0.7743666572380117,0.7227888252379855,0.7047260076872844,0.7033704543407377,0.7414935296680549,0.7147756123922446,0.7675441929849716,0.7100713279522926,0.7110261540290401,0.7318469919184183,0.7374976532721695,0.6274405296448616,0.6739628734067818,0.7009145897757558,0.8875153019416959,0.8513494498146825,0.91562093497508,0.8774503435066755,1.0400737499297248,1.1049350625348426,1.063051038256716,0.997210588861901,0.9369366955875497,0.8207816685263618,0.8698489093801987,0.7620663187808432,0.6589056422963581,0.7025603764679574,0.7302122686572656,0.9554465278104509,0.7381263315211184,0.7037343146660541,0.7305819700897589,0.6832909975343792,0.6684354582300109,0.7065927150766594,0.7368800065653783,0.7619618875410771,0.8499564121254166,0.826677582788549,1.0444839783856212,1.2791567460448499,1.0122497660272052,0.8211117811562557,0.7689423257673604,0.8042910069991441,0.7820132984489694,0.8344847931825511,0.7907170573754687,0.7411753040324893,0.7320621944030603,0.8068616782042878,0.8831540593365645,0.8981077445617156,1.0326886428722202,1.257825289316771,1.148485767150424,0.9416211414707923,0.8960378559658894,0.8264855594675844,0.868321996526345,0.8509148541464423,0.8390895711068809,0.8525695239443959,0.8225004581744558,0.8530251352505712,0.8658635351682452,0.9324479369843592,0.9392963214400738,0.9078994578993741,1.0194435743429024,1.103530759275616,1.0151873340404833,1.0165347337378432,0.9671019167360362,1.1046263470968332,1.4214696656753705,1.980569228618105,1.819399454429747,2.157457454805431,1.5802917257061413,1.6604737671457115,1.347109182139039,1.4954209927217677,1.6281767216836958,1.4800518920540644,1.2807479832675444,1.222394037762943,1.1728971384551883,1.019276363589235,0.9721281959678661,0.9772693138879065,0.9849370237535898,0.912404029557638,0.9433289430032564,0.9775686900220366,0.9601073587925353,1.1326908179194421,1.2153276180889983,1.2427139926904325,1.3263028116497915,1.5264096515376284,1.7335348988710135,1.6765289839928257,1.3848789047286094,1.2103593560490042,1.0878817854254108,1.1441708418984853,1.4470237103463846,2.2456808957777756,1.560081314170786,1.4863792256432227,1.4265844829568026,1.4245109744839843,1.3794898550608883,1.6314334198207083,1.6426347704859052,1.3874134720926228,1.5799099808269503,1.954504075121826,1.7527643117539151,1.6264597471869542,1.9314746997548777,2.1609949909722737,1.7786316419424513,1.8434556011676806,1.4154639429896998,1.5127727608939878,1.498616974359597,1.2587287835229766,1.274656542562844,1.2708305182912045,1.1756275811211518,1.1307548495285966,1.150218194806032,1.0264100342467692,1.0150129889012172,0.9414311763866464,0.9366467964717711,0.9810214472161086,0.9894738494017131,0.9667057047392287,1.0664140011057728,1.261400444412503,1.1523721621942784,1.1018985733699453,1.0552047319297684,1.0364485004402493,1.0377857887880184,1.2024235312595197,1.1065513059093832,0.9981537409112353,1.1703520351583092,1.2185834187188769,1.1150987584786567,1.1390705646880517,1.4983587766545894,1.47355665712218,1.1640085742735682,1.5081469918673769,1.7201243847193928,1.5730494388099345,1.330978532378193,1.0413952080331836,1.5206222605280801,1.3206976430592827,1.3185668130076127,1.5226663531158513,1.1626716409595501,1.484520704500703,1.9495025597183486,1.36715808333112,1.0858250197908812,0.8892765903750324,1.054760988336703,0.9184870627633671,1.0718903002364495,0.8838198939377846,0.971363838255636,0.9019756964591552,0.9011797356186751,0.8805288926246809,0.8485916942214807,1.0644402672327342,0.9475506728574443,0.9627904758069126,0.938016077083944,1.604442958491809,1.0343198944225815,1.5512672160798207,2.057577040239209,2.395280217881407],[1.3575179760554446,0.9093124139114834,1.197023400678699,0.5780984513460664,0.7063177771668638,0.8492350167117242,0.703470622695428,0.7383949772560592,0.7250867941513592,0.6163957492089285,0.6234376500566795,0.6707080096548756,0.640940376177069,0.5766426885205966,0.6245497654115051,0.6074794877533729,0.6222686985616454,0.6303774171245385,0.7233731529560875,0.6739660446275466,0.8036840769683768,0.8666173781329324,1.077915126026096,1.1498318621068129,0.989616206623772,0.8196348099842938,0.6986882299913552,0.6431239602277571,0.6321696190257264,0.5923704071862308,0.6291663654284462,0.6122828245181191,0.6372232684652034,0.620772499876335,0.6249617248945513,0.6577806906751519,0.6309783405853389,0.6205641327810745,0.6266086538613098,0.7235081020265983,0.7522319472470926,0.7314620594925394,0.7814992246933169,0.8890966845738119,1.2305198951318048,1.4840882178782968,1.7009176555533674,0.9842919361188975,1.043203484129519,1.6538584346847114,1.3210493289834466,1.6342514226700893,1.1748382052528936,1.170824714409659,1.5565857641383936,1.1628199222516669,1.01120972665835,1.1418282880435715,0.9770886150975067,1.5084101100064158,1.0300471309824897,0.9049130167880969,0.7575985268194734,0.9144619164161595,0.9737824746463278,0.7547184132351078,0.8486931798544456,0.666709840095153,0.7863139015766538,0.7697800203831854,0.9363703850519505,1.275844422301862,0.8269257098178194,0.9004633275496664,0.7394245176793841,0.9763220036638757,0.662883850010414,0.6618332258129401,0.7195190659581631,0.800013750472337,0.6770640258441565,0.8862771092672638,0.9446743368575228,0.8566442363501566,0.7248284435765269,0.6533550418272754,0.6495111772599933,0.7155146408403529,0.6526503209616445,0.7003717030533877,0.6236066506203082,0.7738440778962136,0.6745927272980964,0.6026179235399698,0.60748774615031,0.65468279256624,0.7408785746599701,0.657666044465265,0.6405499120484713,0.735807206589887,0.6813485783744283,0.7804270498029735,0.6767690112994998,0.6688316303964733,0.795544580100364,0.7331959084962124,0.8221130457569428,0.8226729527634123,0.7797126226870386,0.8000171106902423,0.73689885388187,0.6902515283321632,0.6565284120317691,0.5986665146933554,0.6143116939435457,0.6146759769887534,0.6592450087999137,0.6322536123955705,0.694137762718302,0.6342653062061573,0.6556172508274428,0.6634430976251768,0.6717135602475117,0.5640558934108169,0.5976913351734954,0.5814192760386468,0.797702184191845,0.7081611038133546,0.7264673083203245,0.6929733612946796,0.8556193923497721,0.9074603537934286,0.861819614641278,0.8019227942106478,0.7610771598204886,0.6528525516463015,0.6792907735743718,0.6434966538926514,0.5484758282945114,0.5764125598246815,0.6162388937392554,0.859976279687619,0.6245764210093102,0.5867739964227406,0.5990566360304268,0.5579014296022493,0.5546394255530924,0.5935597923199623,0.6008019689450409,0.6631575144876107,0.7320103047694239,0.7395980017307773,0.9452438232931603,1.2287627322898567,0.9499800938045854,0.725469314516924,0.6787973502656268,0.6703381358579555,0.6701852899852033,0.6939683834227947,0.648348650823937,0.5994842588536203,0.6001619660660573,0.6653413200968791,0.7392299316441208,0.7801709520247182,0.8971051259453036,1.1772655276400665,1.0746770036370044,0.8655083446526389,0.7380017925403741,0.6811882440236421,0.7083621831549874,0.6797677840927303,0.67386320749251,0.7052389347648681,0.692290513599897,0.7294283066209073,0.6960410123215542,0.7681039978251528,0.7674948007630735,0.742695864312787,0.8303040481224445,0.9307339207171269,0.8489534934444111,0.8609246771228641,0.7886457105842866,0.9802206896334799,1.40841071108464,1.9177353498003415,1.8210247761644056,1.885558090914523,1.3871582680820917,1.5405279263841811,1.1567812170450291,1.2865748906299694,1.4077676223344076,1.2958331615213647,1.1008144802510629,1.0468525722236992,0.9493023544570801,0.7942947624930654,0.7695725743419561,0.7501737313361648,0.7349494692031298,0.7188933733129697,0.7635573638543058,0.759485400379451,0.7602752630875429,1.0036560640827445,1.0817000693836167,1.0965120831390056,1.2102216635001577,1.4273899148549059,1.6165074684785665,1.570803289989073,1.2256047942121868,1.033304872005459,0.8786457470551877,0.9244206761868996,1.23293947778338,1.949142357057621,1.4095953896539013,1.267428608948277,1.1737634800515973,1.1490271116095372,1.1145639732456925,1.360621289683611,1.3832145693308417,1.1438803144095022,1.3228811983294582,1.6995819472299978,1.5343609323093466,1.3970828348109243,1.6908077301947897,1.9366290624313345,1.59109482411162,1.6901597906468044,1.2231933504828059,1.3004426466537375,1.2594639035178008,0.9931627696225717,1.023689723787311,1.0001335394471087,0.9410801782963321,0.8848425596464928,0.876220630852017,0.7742982981792618,0.7976224832574333,0.7055559583512317,0.7210044195397503,0.8192257384906764,0.8204150159323907,0.7663497203659652,0.8976588375179855,1.1289061454363567,0.9893132886757007,0.918779620002513,0.849695962587976,0.7892528608548375,0.7892252117174898,0.9362109725108957,0.8486896696154386,0.7628927867972424,0.9297534399776524,0.9770374490115173,0.8892493450640958,0.91523092728256,1.269297366738221,1.2886709191077943,0.9836640720565977,1.3390624556574016,1.564191448988134,1.4576978701602703,1.238612556286723,0.8857085893657032,1.5048531550832982,1.2340954868694074,1.185457965023823,1.413413136730978,1.0108848186013244,1.3978195782591887,1.9213561768559098,1.2590387238261203,0.8660094853614136,0.6497227131477609,0.9102463124287914,0.7197190437291364,0.9008017338256119,0.7196425652392456,0.8241840318551646,0.7392845261585306,0.7262589873563726,0.7508366236525141,0.7126457563119113,0.9330132367104973,0.8115545259203423,0.8609675314067908,0.8364328049808878,1.5025907088924488,0.9175533566230716,1.5029613686641536,2.0508781126392104,2.3571624338317676],[1.2692989343294065,0.8435465645197494,1.0796353106052707,0.5362046494486078,0.6730757336927855,0.7581091660577476,0.61608835006997,0.6520538864911943,0.6383933745185597,0.529621969233907,0.5440070812186405,0.5832566088431965,0.5622900395946754,0.4930700545465471,0.5448370960063633,0.5235789716735996,0.5540343716848912,0.5616263985746133,0.6482861788517831,0.619271659921483,0.7332789789760399,0.7948961265002343,1.0031755730021832,1.0592815120092314,0.9145972690535119,0.742332039771394,0.6592881191266243,0.5895904363956184,0.5729250826658776,0.54212107190656,0.5487557065438795,0.54381352291827,0.5611802450558814,0.5597556027740868,0.5621721622230229,0.5992095054809407,0.5670044063989716,0.5641686936100702,0.5950397435322878,0.6923405884910786,0.7536479323878843,0.695486010746302,0.7586046131448948,0.8823483380077486,1.2317707981190298,1.4765182835893134,1.6759108544115162,0.9836613021678751,1.0568684486557303,1.6369273142016771,1.299244553812711,1.5935850908652947,1.1947304039814304,1.0896710559916165,1.5001075934570416,1.151214162589561,1.0255573556587938,1.1518631349026587,0.977623698095855,1.5509579250973728,1.0010637016275665,0.8688233685590205,0.7013668850542494,0.8627406075215613,0.9205340468410693,0.7114737356916822,0.8158827486768444,0.6138501762428944,0.7419546324935062,0.7136441005832804,0.9100079015299659,1.2322070535496998,0.7977968797013628,0.8827626343976082,0.6848630263098971,0.9673441495025396,0.6041501307153496,0.5925050064820487,0.637426393986676,0.7518491109397681,0.6241643879515888,0.8342876945092718,0.97842581568606,0.8025685829693072,0.726705923725219,0.6185250246258133,0.5956502676328145,0.6634240312274539,0.597743994206063,0.6512577201097723,0.5667872690862855,0.7425477644456603,0.6227628796436604,0.5309938803529316,0.5337836138117853,0.5835411590687783,0.6587082444168274,0.5670498280869879,0.5639992256568325,0.6791311064226315,0.6229713408220102,0.7053110170730219,0.6280764279542604,0.6400555518200273,0.8080734308481501,0.7476850227763437,0.8687750773254977,0.8892385410048083,0.8080371216882039,0.8298502980623771,0.7136600242950705,0.6522610889672675,0.5803881654061422,0.5335951200936235,0.5352024971907081,0.5631135277296114,0.6196844190346599,0.5890232396361981,0.6780877686833635,0.566600474984471,0.5930434569630367,0.6110179919874431,0.6198200334820727,0.4904316678087387,0.5083101547800407,0.5187516552823103,0.7469237159962496,0.6606784702895384,0.7137505791679709,0.7287184353461877,0.898488971960957,0.9750479980838814,0.9298281491792036,0.8513666408002253,0.8120750781432148,0.6838477400104092,0.7270808470356676,0.6638272836000295,0.5266709532189654,0.5437426866084006,0.5887134119143881,0.8424643673089088,0.5823472960684036,0.5480700655141048,0.5594636914242787,0.5295903937770748,0.5327328967317226,0.5505210269856099,0.5583161586472843,0.595866524463601,0.658184254938828,0.6712526685912631,0.8733222177856566,1.2137885393327366,0.9138824376026202,0.6581651357186307,0.6076892379390902,0.5933193142368359,0.6244032861416698,0.6486451559168968,0.6388436506785558,0.5781202252532829,0.5964460156053641,0.6593257195802089,0.7589060819203993,0.7983414875504958,0.9520237685596211,1.2388166728625793,1.1638273492289117,0.9380629025432697,0.7954547743007828,0.7005435400364511,0.7284462949368851,0.6932298801347117,0.6694301364836098,0.702561764539692,0.6627864732561519,0.744374589006118,0.689159107403652,0.7826370750993469,0.7784241643050802,0.7633088042780032,0.8677633431642456,1.0019532856340208,0.9125404969179405,0.9073695478554588,0.7799794661116533,1.016923665349579,1.4656966701497962,2.0013156681210504,1.9314090098950634,1.8644321720077546,1.4155138869813448,1.578306880118908,1.2037125704788858,1.3190596635111071,1.3884001944720186,1.3315698029127405,1.1654075080168858,1.0703577146438457,0.9861539346624573,0.810295200986625,0.7838907997397397,0.7927815956279758,0.763815699353123,0.740211291181952,0.7650942771849334,0.7625583881582815,0.7989184097484704,1.0128595910566365,1.0827921366550377,1.145927773062624,1.2856252948128482,1.4574180884479,1.6733172291336358,1.5817614995702618,1.2676219178814285,1.0177812934209338,0.8919026412377957,0.9525824412692784,1.3461169290637118,1.8658386644474232,1.4560543178039063,1.3000350643356022,1.2312499641320471,1.2040166008216626,1.1458846557447546,1.3936121139289397,1.448941178725277,1.2019675425211265,1.3789313085040356,1.757588441820779,1.6356894152925947,1.473578332842309,1.7126136861741397,2.0061320658164017,1.7000104336810566,1.7438771219596967,1.3029169534187823,1.3016896855569462,1.2824995788857703,1.0107087143104099,1.027737179938606,0.9979347357848454,0.9026285947405528,0.8640613730784485,0.8561210168079784,0.7655248666624106,0.7636809773242456,0.7253829135709401,0.7669044388571457,0.8854647027684642,0.8744404746965955,0.8343122323036788,0.9931735402373989,1.2194860210947795,1.0603964229151652,0.9934040433929496,0.8870171249052754,0.8003534199303324,0.8164396752605271,0.947917942585057,0.8821872101943177,0.7939793161961782,0.9679014960437846,1.0509053704279894,0.9628412589469607,0.999286676636043,1.374874466318844,1.4177284823278056,1.0985641696980992,1.4627788854683665,1.6866778380380623,1.6111088474503465,1.414215497210267,1.02645981007635,1.5660722401886897,1.1070079386078047,1.117992640613336,1.2500034113857297,0.9424089048677987,1.3401359442144865,1.7035021326564543,1.0228527174792854,0.7593405385340809,0.8933966899939724,1.0259057069695607,0.7751074504576926,0.9363901822526454,0.7050019510020091,0.8236068062989602,0.7167646478345213,0.7346370993787773,0.7401569362903091,0.7030316604138922,0.9369451189416234,0.8410427298241266,0.8149518344975396,0.802427678076302,1.522777346307342,0.8959414732809806,1.3664875639073646,2.0970921545827066,2.3526080914388694],[1.4463735544872467,1.0517131890150635,1.2265474972979133,0.7483906725431115,0.7908648695957193,0.8873814428199852,0.733982778321919,0.7700057904162015,0.7594575422841962,0.6417789100672077,0.6567171208859413,0.6800965671401696,0.642612227776175,0.6027638355884093,0.6470759807801444,0.6185490684948953,0.6447347374660165,0.6633035366453436,0.7625097820435348,0.728003380850136,0.873911372272925,0.9190216988850785,1.1568086000548825,1.221658214459742,1.0417026740947315,0.8772652964707094,0.7480109880237853,0.6939525604118745,0.6779085202159919,0.6273230024822204,0.630440093973024,0.6368567851790943,0.6574398995991212,0.6496960363276352,0.6551832255708812,0.6772142036045036,0.6613291239079425,0.6345397741443729,0.6665992802206745,0.7839678424835121,0.7993523761148703,0.7763000716882195,0.8456459830819956,0.9625976757430851,1.3281492821559138,1.570091578998204,1.8114128157281102,1.0796066059911604,1.1111332119836748,1.7247776095071001,1.4050557715636178,1.7167481338290147,1.254851665029687,1.243965592360498,1.6184587638054602,1.2654151841542525,1.06858664670753,1.1973017984197423,1.0454819997112557,1.5442839506314898,1.0999262429793286,0.9977739302514024,0.8330386786843144,0.9768436280417538,1.0520527701160776,0.8358458805803046,0.9439834448883435,0.7253257437498025,0.8712295958431401,0.8186266772153095,0.9989279190570384,1.337980484956869,0.8939814454116957,0.9938028668132575,0.8056578635249481,1.0178042033977408,0.7098622860778216,0.686062194107409,0.7174521293843296,0.8184271817763801,0.7040629245381842,0.9129519960925148,0.9620836003884614,0.917021919633825,0.7725464871894139,0.6815813089254175,0.6765082975829694,0.7504323113036488,0.6727989044791117,0.7196966576006824,0.6595265999566122,0.8297643866669239,0.7005030181032053,0.6234998998908948,0.6293847731446544,0.675202039240276,0.7573144316870373,0.6685182838185878,0.6585625587487564,0.7881664598235167,0.6993781343156327,0.8141856509123045,0.6850041407787267,0.7198265984421499,0.871046512277384,0.8146929553556412,0.955057504012531,0.9670271776892424,0.8923277898273795,0.8903450602793966,0.7973002214031916,0.7226310444278248,0.6738402685224327,0.617368223822491,0.6359085789809543,0.659208406814277,0.7021393722993899,0.6919324507183336,0.7890368007411724,0.6824962880509499,0.7111638259647459,0.7153512179799955,0.7325034755986287,0.6051198742623417,0.6136914213578561,0.5909542970492999,0.7993032274003686,0.7354499087126277,0.7726284741328325,0.7826523672898305,0.923904829699742,1.039287305749937,0.9876790583845827,0.9154650396478508,0.8451467410066871,0.6854751631073055,0.731787982872537,0.6648587353405413,0.5753276098045416,0.6026796133401288,0.6837793080266666,0.9384003052962585,0.6854140307765147,0.6163667901517343,0.6296418478714197,0.5820941945250957,0.5815424756794227,0.6223667477829746,0.6256004886176104,0.6691018861735905,0.753942055176426,0.7808090946690085,0.9794963817625456,1.249636929044827,1.000178666394918,0.7672397062640299,0.7033839666538985,0.6984340172721093,0.6871728574682925,0.7172712491204359,0.6831155813315717,0.6290326108099592,0.6361210553773153,0.708356199282326,0.8147205415840754,0.8251611173509955,0.9896197200818586,1.2670905116081732,1.1639193711679363,0.929659243791458,0.8223556966466551,0.7297728204647943,0.770521935518005,0.7401431653547157,0.7220038367370032,0.7571279332345443,0.728487676215616,0.7936360209849953,0.7446756618626876,0.8451756964682181,0.8338956686973642,0.8188141717585427,0.93852857531433,1.0800474049140227,0.9641125332924799,0.9747933934361103,0.878238996892492,1.0949574137763207,1.440533669875553,1.9164648237360775,1.80201024333395,1.992994521103389,1.4473442351920274,1.597838873831157,1.2954156860697663,1.4518742499586084,1.5012857498009717,1.3998243477933248,1.2118345945658888,1.1106847862955689,1.093364030208705,0.9474391122451015,0.8918593327100043,0.9185018274039193,0.9436467920839696,0.9315270457920504,0.9644936794334967,0.9880889809044429,1.031205244204777,1.2175031421526226,1.3100986991559067,1.3837507393394464,1.4856151371283433,1.6530124552888832,1.8925123248034101,1.7887850201301876,1.5624376066042334,1.296675583988379,1.151304617592472,1.2447901843493538,1.607992135354712,2.218500189969447,1.7073318185710078,1.4838582038018548,1.427362056570794,1.4150172862469648,1.3424407971734726,1.6249263152869577,1.6681993974252576,1.3636549798531052,1.5440677748689278,1.967530699210343,1.7866900753967985,1.5973283216567518,1.8870843530448251,2.2080303883222827,1.8010713586429772,1.8113535061073545,1.371765698150678,1.3764619897371848,1.429938069625743,1.1722140161171497,1.199078884523825,1.2085083191242254,1.0680966737044655,1.0185482347969146,1.076554931387907,0.9753173451386118,0.9490053621852487,0.9382345324384374,0.9793878450951431,1.0592218449350537,1.0666127141108819,1.051848823264524,1.1937659988408336,1.382869155645661,1.2840874928538581,1.2367555899199192,1.1545163793994413,1.0663921870063053,1.0455486113622579,1.1845132068658941,1.1278666581934578,1.0220618287998744,1.1684892575590455,1.2540470345184425,1.170248613781636,1.1478244837341272,1.5636556348989,1.5651146882873388,1.2191184912296447,1.555029065086613,1.8279408427620876,1.6879096444684978,1.454738673196702,1.1221815699029114,1.5368692232520482,1.270744261518879,1.402975118315318,1.5161601517473657,1.1831377845908295,1.5180048882487545,1.8843371287567117,1.2723024352474843,0.9856154385335254,0.8677568681608685,1.0396455256330255,0.8720196979573607,0.9868186352308059,0.7868087750087919,0.9491107755258021,0.8464602567821166,0.9085436403993576,0.8639277803771845,0.8477259203097075,1.108579457598757,1.0399439692822041,0.9829481310122374,0.9939148509096476,1.7052171879984097,1.1358198190205824,1.4842256686055628,2.2542080009699323,2.530993850581878],[1.7406883227100567,1.4133739181173752,1.5561085819657385,1.1093514791932495,1.1526331398727836,1.2120302503276674,1.061379537231227,1.1255397850695472,1.0520852328608923,0.9320341594408549,0.9295153188848443,0.9878893993239688,0.9324349327231825,0.8610773876282266,0.8942336544493262,0.8984481642120469,0.871800433225411,0.8772162543459718,0.9307847184501478,0.9073130988009948,0.948087649706832,1.0104635423611397,1.1563395911072025,1.2313245924703975,1.1124455797591972,0.9594724207418023,0.9492539241236155,0.8979639543633506,0.9163789151628752,0.9411465046120377,0.894898567359752,0.9714141988504014,0.9849898779964426,0.9685478982615626,0.978245951506363,0.9576007096615392,0.993836044790693,0.9295106825621495,0.9688463724283841,1.0746812094167302,1.0725040893079312,0.969049689878336,1.0588327720319959,1.1990973486578036,1.4607785030901803,1.6809279391255998,1.9034468196791088,1.3027987757431674,1.3291849816353458,1.8437617519086424,1.603841590486631,1.8979631685850418,1.5200286555289029,1.4165713123693595,1.7659878785270278,1.4511493856193465,1.3394888634292759,1.3590818061620167,1.2788935469697589,1.757933754294692,1.2849356055382222,1.1692670187072833,1.042129557052101,1.1010614818008482,1.1677427514157421,1.0047741128803054,0.9813594291566797,0.8930142242280669,0.950712654143937,0.9133214948208617,1.0870827673185766,1.3568563076092397,0.9514773352238082,1.02769835908358,0.8970803164494698,1.1494727399841675,0.9175096855092354,0.9373495541918221,0.976268094978257,1.1045867642935052,1.018890659408763,1.1449892290303074,1.2536209164477685,1.2518321123393166,1.1132031819643107,1.0455429165072663,0.978491245325187,1.0563254183438793,0.9400415609022128,1.0480619210208384,0.9118639148040715,1.039860610747875,0.9193515731934625,0.9022247453457134,0.9035669978292562,0.9381074537919779,0.9707705733741296,0.9869417951344789,0.9923414540166234,1.1568568692766164,1.0641921630892626,1.1501698447156068,1.0604729557099184,1.1167171328794345,1.2401446773691698,1.1653015513821994,1.2641203088226318,1.2903202455159923,1.2370016860172885,1.2297109789345702,1.1474249627595918,1.078031829744745,1.0302085783860941,0.9388976504774862,0.9012458118677618,0.870798914716199,0.8951506746319033,0.8269099164128675,0.8732611352669221,0.8352227380740849,0.8262399560772022,0.878125463527873,0.8684705832480514,0.8345392506439527,0.902691619923455,0.9071339794843409,1.144678797682818,1.0984458111863198,1.1041636565435222,1.1360918548993753,1.200812917826353,1.3022946708887106,1.2820119150697427,1.2472085559688628,1.163936344383454,1.025437748115797,1.058541705058716,0.9567518298315582,0.8460535283376772,0.8738834519493006,0.8226760007190584,1.0824584487460187,0.8436974150616402,0.8458549348703924,0.8959560152258152,0.8984063672593137,0.900012651019346,0.9455670652874298,0.9841275284270987,1.0040917991292355,1.1101226326281926,1.1386196296441498,1.3217397731136744,1.4498607344746397,1.2454732948301732,1.1456953405223798,1.0652969735084605,1.064406737707311,1.0499798876149422,1.0802249775728583,1.0299197890160985,0.9835739877557721,0.9632105512675772,1.0234734201350437,1.1213192037933926,1.1029204371099206,1.2462082883691017,1.4600689192994838,1.374267645735104,1.168812552359082,1.1066733868560656,1.0305032922589092,1.0899356479806583,1.0927923470720624,1.0818909994656645,1.1272525500917234,1.0549993927779209,1.1555069535606977,1.107180998805697,1.226883159087724,1.1869519593397104,1.180240109187037,1.2438040270699955,1.3705434782661015,1.2556865119389906,1.2704249668635432,1.1491077030773469,1.33266325881795,1.6305726515796644,1.935902878305774,1.8410953928343867,2.1315105617879038,1.6745930249940362,1.8418125587019558,1.5212536695642669,1.6029491612374456,1.637354220331564,1.5484004767975932,1.4060452387432802,1.3314967833516949,1.34329938871373,1.2629956893455072,1.234512231693098,1.2399702665420012,1.2742351785100055,1.2945884627835347,1.341704682050142,1.332745174453926,1.3645655090224122,1.5462045437178822,1.632841458163477,1.6633542104324481,1.7312111729194244,1.898162630890401,2.119270352231413,2.0593769707480054,1.8082553336859908,1.5750967127600357,1.4459319479087442,1.5068776645779276,1.5800912284510886,2.5646094934457286,1.8314704680763076,1.6459126616752586,1.5804238989716524,1.5580322820832384,1.5462405547029896,1.7402291895522612,1.7431185303113177,1.5122868347484326,1.6575806163096223,2.0226410106876838,1.8169360703995183,1.6869896653874699,1.9857901121248414,2.216424970674587,1.8215040294551177,1.8979894986347297,1.53094952152587,1.5195952680298728,1.6223457053055228,1.4106289747741787,1.4325463813190729,1.4622274151912638,1.3786619977747592,1.3237852164013357,1.3782669506952365,1.3228946742941283,1.313386696592385,1.3003536837981617,1.3282228881339544,1.3781069315782506,1.390778744022297,1.35704799906298,1.4648028886363271,1.6384673708406126,1.5551445099050907,1.5140039473140934,1.4578639938365296,1.367993062117527,1.3335522777695532,1.4108577213225149,1.3814461552826072,1.3225500163634818,1.3870899562810222,1.4169518070695646,1.3758491412610387,1.3537181589341198,1.638252075614123,1.6354450004156018,1.3669594904093039,1.5990618977450104,1.8045998617222585,1.6728748915018665,1.4785878290306773,1.3424120797336476,1.625196718976628,1.6549958473193798,1.6992182213088616,1.9416210513614376,1.562747769022449,1.839008694147971,2.264547253888442,1.763226311659535,1.5080498909281579,1.2438836371241955,1.271458122443359,1.2155098824268902,1.2615723377705637,1.1386171092342225,1.2759832274906378,1.2057908217083464,1.2754867654726585,1.2121150007677672,1.1555858984881864,1.4283258667287366,1.3635922208817681,1.233201191847079,1.3130038112680473,1.9752235278921444,1.473323831276404,1.8480918816233056,2.5140896515913136,2.7531985161744377],[1.7268857059769909,1.3957672350741406,1.5047461081254778,1.0717440243779928,1.02061658366394,1.1373274876784023,0.9801735097317051,1.0240184614377625,0.999029345146156,0.876585171493834,0.8827849389243664,0.9212441369492765,0.8757238502989751,0.830393490534912,0.8623354132013674,0.852755028079803,0.8695664190440325,0.884334915642893,0.9670539288525014,0.9694216703805643,1.0466020790984496,1.0572743217068792,1.2855318200305854,1.3651628889676966,1.2401794344681683,1.0567486803426795,0.9824408597541656,0.9181227999549314,0.915798096646928,0.8949734099391332,0.8776997655161478,0.9071662765754552,0.9247912179696308,0.9244820924594539,0.9145462829907992,0.9481415532722276,0.9393144113024707,0.9029150798288349,0.9779523746479458,1.0816468361410032,1.0946810559036,1.0198558391851447,1.1279722283942113,1.3051528063878592,1.5254423523590834,1.7360499970008179,1.8706848260348454,1.3510563744220594,1.3895134069609378,1.7842189425579744,1.5867001461694399,1.9883488808094656,1.5955082213222491,1.4167420636071728,1.6243649587447677,1.5060355933161325,1.4363162683247583,1.4031033556307062,1.324098631174785,1.8543224606060575,1.367874583092615,1.2016384739779729,1.0682677772631435,1.1186588026993582,1.1788973144103363,1.0443512256371117,1.0796529604716196,0.9348384852668886,0.9843489156126478,0.9971865154342894,1.14436089233018,1.3909213249066241,1.0290826719106965,1.094374785573286,0.953888808804055,1.13286005850953,0.9486088703816231,0.9603527194385558,0.9963457117736604,1.0809840124618,0.9889940366045837,1.119929880882713,1.2712362357800329,1.1386922141696207,1.066790490170143,0.9748944712506432,0.9564535429944161,1.0019930866846065,0.9446850150899836,0.9889412033356497,0.9096244600433749,1.0183475422671968,0.9113545203524731,0.8636974061505408,0.8694108916833972,0.9053354735724743,0.9537692136245212,0.9335696642889242,0.9182221667807496,1.0523990766563411,0.9443363631358223,1.0362526826643292,0.9459636691279821,0.9570779477546871,1.12717411719745,1.0393512666248104,1.1336715053237614,1.1379432447523004,1.051530392954722,1.048135862661375,0.9911252652612202,0.9667815677469315,0.9216108909272398,0.859159607170495,0.8601529820573245,0.8589531432758244,0.8777162608908929,0.8863446148768424,0.9310614548689603,0.8623126268413795,0.8615915099440908,0.873225369846627,0.869810009800793,0.8060832278606507,0.8370614848890653,0.8270837876085553,0.9892955080216185,0.9738313680071493,0.9806696586976328,1.02119898195172,1.1084339453463687,1.1925213869340765,1.2203222370217617,1.1575118717506019,1.1173235205818859,0.9774438539886563,0.9929350510294339,0.9588708938013482,0.8638819222196974,0.8907530634689196,0.931966983192514,1.1721001591219855,0.9232517895698731,0.8954184568736883,0.9417038245053904,0.880866180408647,0.8664276098035547,0.8766776112281145,0.8854664836561145,0.903850520827055,0.9865678368757463,1.029215396312857,1.1787808437564617,1.3777507929534454,1.1492509881133366,1.0242924337507855,0.9534617507573109,0.9432636340486932,0.9563039593253437,0.9702970895710081,0.9596853300195949,0.9385709482713475,0.9561143091893397,1.0461452227177421,1.1665453366743388,1.2284278251988918,1.2998756300497976,1.560949726051849,1.4733348839066842,1.24009553102266,1.1291347366073008,1.052964345272667,1.1019162057252674,1.0543564058995365,1.0315755283556653,1.0599880971740736,1.0163900450556635,1.1112682992095015,1.0660733741291106,1.1611227662177266,1.1371883022370637,1.0984544343993816,1.210347961835042,1.3202256375738153,1.2567451152800166,1.3085298313543583,1.2203151989547272,1.4814987836995863,1.7386419793505243,2.016337274871562,1.8741467693042035,2.142660916182377,1.5632506688085106,1.7052816959505086,1.4720761215768632,1.5825336051666985,1.6338595631649815,1.4914750165872854,1.2690816533977634,1.1793125214290656,1.1019877907678577,1.0051520707958947,0.9995691575679995,0.9667513630619188,0.9804056440827805,1.038446517426566,1.1059058799237074,1.076151387178042,1.1289703732871756,1.3949379610963337,1.4955819387505067,1.5166397367571163,1.6258222146373547,1.8408283780500296,2.0480608668157543,1.977585341098003,1.6799537254186963,1.4191023998177588,1.230659715056424,1.2915651586993775,1.3612697227752637,2.3395343977002603,1.6063231631988701,1.3932188480374137,1.3141799176085944,1.2955581202695392,1.2610182309994227,1.5136994483316866,1.5269296371719747,1.2753079714406543,1.4577997316675788,1.8557173385854042,1.677152120701128,1.5325478285112086,1.870979913022991,2.12688907424434,1.736526796759215,1.8574519556972184,1.3669204525628738,1.4166377284553824,1.425648455332112,1.1428438036043296,1.1929645934292614,1.1942738117428289,1.1087299914568751,1.058121674017237,1.0985388088970227,1.0380481437185367,1.0453397774684643,1.0132278557711003,1.0618380090664719,1.1538038842115579,1.176479648706497,1.1233003059885518,1.270639204642243,1.488215706641387,1.3896900722898238,1.3253502465373885,1.2292119201899652,1.1015051978323354,1.0558802200893216,1.1308951159339136,1.1210162529423633,1.0488093944689536,1.1118674683504877,1.1551097446579885,1.1141553475227086,1.075718689880138,1.416981594411164,1.4337172349619416,1.1198652576717691,1.4536974586957663,1.6709274544711599,1.5232028475631298,1.2930574921457625,1.0627504644014671,1.5090234389283224,1.5287038844867507,1.5788565063157285,1.888651674566731,1.4013816900234595,1.7627634414439544,2.2684902369472613,1.645659794859933,1.2775977304307427,0.9180492320305308,1.0204930348972432,0.987115625600727,1.0869557547206652,0.9767866212399187,1.1033110347254345,1.0125225699095088,1.0449119031352183,1.019866404724438,1.0190222638303654,1.2701936546654395,1.212828103806214,1.145880335076299,1.2338688790728995,1.905794951171023,1.3758567164886761,1.8044094720299253,2.4500385100272926,2.663654649170473],[1.6125524995139737,1.2504769325970821,1.423762519207028,0.8206297129391471,0.9709922481410765,1.0737221761901952,1.0523802107038167,1.0392043269542328,1.074346544747407,1.1786013008810896,1.1804112851041835,1.0988541150806173,1.3019017717653911,1.3110251012607923,1.3479821428379446,1.381033145039834,1.5760609129784127,1.6574347056587768,1.8912778103563304,1.854645490165982,1.9890374733625946,1.9505785460341076,2.2200864448189193,2.3516294035245506,2.186675694439959,2.0404650396977373,1.8881513703341486,1.7625571350573266,1.6633187535118288,1.4975723277525148,1.5112120082155955,1.3773381095803368,1.350057898987091,1.4595314542521163,1.4840732182692982,1.6398373171029392,1.4930631265340357,1.6875488017094717,1.7811280261767384,1.8542936929054772,1.9374645269189956,1.8936169407194392,2.009500878996656,2.173251195295543,2.2980671121854983,2.435554151966837,2.4847509861375965,2.167061891841552,2.1720076020529655,2.306085630982114,2.2333575619266908,2.6224864801061645,2.313531936878096,2.0284022250216087,1.930048650939051,2.204475242298769,2.2985420833240595,2.1047137635850675,2.086642728222863,2.659652363623033,2.207674076738732,1.987915517007199,1.8216788158730832,1.932470369200416,1.922102372888227,1.8770795463012746,1.9829077701798457,1.7837585441121413,1.881389434135892,1.7641142493952187,1.919151084657875,2.0947217856099947,1.816784851320134,1.947017847744059,1.7336444141640814,1.8455095719944532,1.7709973017319254,1.698959312170637,1.7159672707950657,1.809471034877543,1.64770099192759,1.7737310625154419,1.8172248484816547,1.6598747746790767,1.7402154418176603,1.6121993469390516,1.6872395231645652,1.554137528937068,1.692266956328436,1.5803296426674243,1.604875373416317,1.6066571490084358,1.5171053330497304,1.3902352405195404,1.363321273809903,1.312814133831202,1.3354553281221329,1.2767061783174396,1.1859085729695633,1.0835576197777403,1.1974949701356103,1.1445346092931383,1.3111094263489869,1.1567319373999392,1.4133226448764469,1.2723080532321658,1.2556174103849578,1.249571973474776,1.1192650690739907,1.1110468576829158,1.084353441821895,1.2654820454429776,1.15871066685434,1.3476064763245712,1.406678173652193,1.5715250265426548,1.5950886333739664,1.8413980218809318,1.8793996114616602,1.7059386514360007,1.6840318984955653,1.5067448733833309,1.5644917238702263,1.4510164258676137,1.2734755157315438,1.3681637079116833,1.1553961953298522,1.2775942423940507,1.239491935769814,1.3206244741854014,1.4064880507220963,1.3947533643754637,1.5830980164406023,1.4918522267220187,1.6304621340620211,1.5472054104049604,1.5566458270736603,1.756922830499331,1.7730838189958098,1.796929731148386,2.0182860639666567,2.157429186715314,1.9533281681312977,1.844818824434087,1.8508868225374122,1.6559529280474268,1.5990117483342765,1.4431945959685935,1.3138556648476853,1.183311753675303,1.1018129294194372,1.026477390536932,1.1459715112725397,1.3068597214514521,1.1269126612088265,1.0548009786736527,1.1324083306158461,1.1110266385727972,1.3229108207083737,1.3041763448764754,1.49519519522376,1.5699825349705225,1.733850431193775,1.8158709446868597,1.9630786862535765,2.1268491846424187,2.036429324506223,2.301424964439994,2.193073412079951,2.0829951153560033,1.8710279354016885,1.849647440931312,1.7998383056770628,1.6606147046090534,1.5975045937701169,1.5171993075745591,1.53366485490293,1.5627017497992908,1.6165192939059483,1.6188382154491534,1.710164407590131,1.5114371704909961,1.6359339801954682,1.7285008800709183,1.8118434320670058,1.9455853012663669,1.9777253535602102,2.214503318692974,2.250843637583029,2.512922980444855,2.3070241081444878,2.5160861582854075,1.9321640923516041,2.0064563832748803,1.793980768526262,1.7982210205866045,1.8827287238019053,1.5889834047221194,1.2867331408283442,1.2151259146977342,1.060245480456155,0.9507378777934379,0.9388575157792438,0.9370297427328034,1.0245687522551623,0.9770740545087796,1.0499034922536512,1.2546789399845684,1.2623435240516534,1.399203487659043,1.6406445423356537,1.7471926305604666,1.6635017007432815,1.8543876931539773,2.2601189284681364,2.2500261140121447,2.112768307646578,2.1052443602562176,1.7647014805449996,1.8659087660792495,1.561487586580685,3.0731942514649386,2.092919785160351,1.8056993084256703,1.5513495976928413,1.4057273838969746,1.2836290087369115,1.458870051797744,1.548039255356909,1.2866776048348647,1.3820637954016373,1.7309916010833146,1.6077967449478865,1.4410394470989751,1.721775072671365,1.9022209654521065,1.6300361966346368,1.8554836988809829,1.3197282255078457,1.4097646251829348,1.3406967909757996,1.1042796507332318,1.1290032799114231,1.1757454911966712,1.0557618630900143,1.0204605493368382,1.125456501188392,1.0045256777324822,0.9778369456728095,1.0096340985452865,1.0943640295736652,1.1247689514521648,1.1846475595994341,1.2979160111319294,1.4043155723541427,1.5406268517551713,1.613114693490572,1.654458224519168,1.5829817871543017,1.4336023457498845,1.2139387924102505,1.3568613952052744,1.5849961218356738,1.3604230355438924,1.2777263864451531,1.5249432574854362,1.5523791791443298,1.2684849134395435,1.5614585098675149,1.8709947454709088,1.4853348931850243,1.4373592058517042,1.6834467013325352,1.9083496729483234,1.6597638358083127,1.556819347418427,2.2186499650301026,2.456590681952718,2.36962295624765,2.3228073644065717,1.683206637522411,1.7665944026606129,2.341489187419182,1.7574552764842628,1.56319099620728,0.8951923630196887,1.0069097498050048,0.9157908470458327,1.1270874556184423,1.0873992701342958,0.9890884436631604,0.9346755987518813,0.9289265520619893,0.9253204709719695,0.9204457994334011,1.1338496366468078,1.0443525631829669,1.0232693814349652,1.0393462746944648,1.7557566516384941,1.1894358933794242,1.7075468482341623,2.328638639437494,2.541206926430981],[1.959955087517044,1.6874376195033103,1.8453335021411008,1.6097408526253094,1.5930963571379833,1.678121486101135,1.5886421691353263,1.6073006659205291,1.6086970530343454,1.5674899535050548,1.5708214315614808,1.5481965651518805,1.5187199465422982,1.5447238130920145,1.525494005423373,1.4779326187874013,1.4760628863708931,1.4969041255300468,1.4993989397245788,1.501576452322115,1.551671695489933,1.6269905527743795,1.6855749908104185,1.7319827510252062,1.6645680205170075,1.5488092269166427,1.5121228356919558,1.5163898645004286,1.4880040657191322,1.477157625512652,1.4616342670047464,1.485986742892129,1.5065663834685437,1.4846398729684753,1.476658378817708,1.477090672337615,1.471762949335962,1.4486734195132958,1.4363875564978847,1.4382252731701761,1.5000622891272952,1.5191805112003685,1.5178144523169268,1.5312235659298719,1.8873751724901662,2.0825702469297203,2.159195849172073,1.5433478942098275,1.5362336125700564,2.0668450690797076,1.7520578428878548,1.9538522299492784,1.6299136299535555,1.7036878431515343,2.210377360090315,1.6305411184874368,1.4547938458102734,1.5963500034396432,1.5230137495829226,1.6699576341357414,1.6530671499148126,1.6451947036019525,1.5975729955599995,1.6279876606275971,1.8012247234888124,1.5557420490653198,1.5635847853384672,1.495076814032424,1.5222693962922456,1.5116519929447803,1.6023814609294393,1.7831188763297017,1.522155523697346,1.563248224785993,1.503528952136052,1.5968377078639555,1.4805876313523674,1.468902469878932,1.4905564303894105,1.54611128497798,1.4596919524029446,1.5377989886627603,1.5100229553290587,1.5192750776827082,1.423930620906652,1.4588826287823538,1.4432255611003997,1.500822731497653,1.470257334517111,1.5632561714328885,1.4723340420347724,1.584335896585742,1.4790258591662742,1.478230023563851,1.4900293224179637,1.5251696991582442,1.5851308128615218,1.5075234969540778,1.4935818754580628,1.5988626602742366,1.5106285191344049,1.4960362042482847,1.3866521077351903,1.3867377569381587,1.3668439909621235,1.3435372855915553,1.3319852165466899,1.3114636679956744,1.3050143649629038,1.3613748319989518,1.3834133539852431,1.4025618893449145,1.512639937068425,1.4804949925231219,1.5343288940483324,1.5652611695034029,1.6405360469752421,1.5308164246277944,1.5649624015309131,1.5317028799278982,1.5450104882932099,1.6407044553694998,1.6591652784782644,1.5605076140379597,1.5612316543030544,1.4858405808647241,1.5460152399072578,1.46626305303733,1.3485403357535681,1.294588515559485,1.2562895939571692,1.2611563423397079,1.2856278691825815,1.2861041356036116,1.2933333596226821,1.3367782179455576,1.327528531637414,1.3773548106298987,1.4485935189802992,1.4651115154794487,1.5013992539962302,1.6157756819811402,1.4771104407320699,1.4699500525317737,1.4233357756585385,1.4485439812037195,1.4640327517094,1.4485073365396213,1.4299202540692564,1.4995641262514918,1.4610038099040903,1.5768362052892353,1.661679857101731,1.7856225795897687,1.6069185195560647,1.5427055700820798,1.5017920063909551,1.4481360494916984,1.4489784040336622,1.3765531859442999,1.3637234092940147,1.4030704875694653,1.404273511766876,1.3788596365341363,1.3922927358837387,1.4795838547307272,1.4209036069636778,1.60836222457997,1.5506386997633623,1.4832460188339944,1.3686894107853633,1.3669581688058265,1.3473093272331835,1.337234074288154,1.34859023687811,1.3480828457075145,1.4037696163162359,1.3733453169470287,1.3446622542521114,1.3479793373933784,1.3589765465953842,1.327589343593754,1.2869188089367007,1.4022909997388873,1.3584599817403222,1.348333224582458,1.391355568400684,1.3668932423973794,2.0434734593258197,1.974878329003459,1.9781693170399792,2.036879124580027,1.7085806098673941,1.7647435946421652,1.4545949032864245,1.50851261351778,1.5007176862533504,1.4094971817549482,1.2732353045078533,1.2720103357342702,1.2727092687593975,1.2505274630944339,1.266784774422012,1.231994241934736,1.2543809658871594,1.3183517699334704,1.424060970287725,1.353182563304011,1.3629925602275432,1.585967722284941,1.6494396979608148,1.6258369140860605,1.6965975291123034,1.8849200682261793,2.0114017632523042,1.9934025651752045,1.7120045724989126,1.6023699069363009,1.4724107891737128,1.4777372355785183,1.8164434896859603,2.1348311922338135,1.8382918909184214,1.5896903860492668,1.569561049088943,1.5656444606737188,1.4847579535262798,1.7227328851996417,1.754086835340058,1.49571769353973,1.596022239158318,1.9777272040078178,1.8156132818499489,1.6108214255774278,1.882034587935598,2.191055170030051,1.806176801483732,1.7393733812181136,1.4033463049888406,1.4187131416272005,1.5083168557206759,1.3396101905251072,1.3696929783529206,1.4104863393023095,1.3390307385249416,1.293847619765083,1.3838018536454524,1.3257874161857612,1.338871421100502,1.3042108943647488,1.3232147994509207,1.3823141085451778,1.398844556207185,1.330697831288976,1.4217047932211593,1.60179552343564,1.5116367212555377,1.4378879389606805,1.4076751732408201,1.359746125799074,1.3435908270666275,1.4173292158788617,1.3693404906435125,1.3228979826678693,1.3980520036008899,1.435385926800932,1.3817069250388874,1.330240684668277,1.6661690674753464,1.657106808304915,1.4040483462128124,1.633894903886458,1.9763789360891726,1.8210191485162412,1.598404948092448,1.4081602936829152,1.9109748324330151,1.9011880783665331,1.7772305087908824,2.052263712488525,1.6543156326873882,1.9607150443693462,2.468371854946515,2.0961607999792555,1.88193313245258,1.5160171292095084,1.236683196753106,1.3808358294283103,1.2787388120569272,1.3890668863372162,1.4589275142228981,1.3460424983759642,1.3952780930873072,1.437443194961668,1.3574921756967886,1.575169744960109,1.542846900105492,1.4631317980589098,1.6104642421297697,2.100801001693019,1.6776458066163642,2.1563412047108024,2.9547984151629456,3.2006160200956058],[2.0832758702708944,1.763502096356435,1.822325677012218,1.4186820652607572,1.3323044192870777,1.4680328743176865,1.3143224641144773,1.3228685116640466,1.3251630789655693,1.185941755221785,1.198955532790956,1.2169547194110384,1.1470260597262967,1.1264524045684914,1.1406132086544511,1.111600413108735,1.1206760400802867,1.1135399351969058,1.1554054959321902,1.0943679881860773,1.1591004500189364,1.1701748807341037,1.320899156879008,1.4479114969900073,1.3060958212808729,1.1635779567501188,1.0760862060635126,1.0669751075060685,1.1044465990307555,1.099632392022123,1.1478215257049247,1.1420248547836565,1.156226531105349,1.1343439915607672,1.128596822630348,1.1328750053991392,1.1111142206096123,1.0246374159435125,1.0381681309381936,1.0958976427125526,1.1110749598861116,1.0754388412566582,1.1525939954266486,1.2925804423435767,1.5483699548205307,1.7765302056320689,1.8579054882856028,1.3155710025522132,1.3537048563289749,1.785674195370048,1.5855933341584738,1.9525457311202339,1.5858965767484718,1.519743704617325,1.8439641432981015,1.4578770187566565,1.4022050808405009,1.4074244948831032,1.3367625955534732,1.6780072559536012,1.3894170443456548,1.2922063671380382,1.172422640528374,1.2135124078812285,1.2936540670118168,1.1639332355792908,1.1523449865643354,1.0791024301201364,1.1674446635148616,1.2051486056290757,1.3289151254406848,1.5768596932051602,1.2258944228614381,1.2236656582938568,1.1708185753588516,1.2685013207395943,1.1226611747024053,1.1343008161365977,1.153335850322794,1.208622188995982,1.0849417079968493,1.154387616040866,1.2733735406444242,1.1770377738570728,1.0985081858062242,1.1009232703244438,1.0830861186327478,1.1133338069142735,1.1126688844211865,1.188183868480019,1.1183720351433826,1.2247223351638645,1.1501453212886823,1.118097084307072,1.130826059757269,1.1555880647001044,1.2254939894834747,1.205506171655522,1.2123444073460126,1.2975194136310297,1.2100260241970273,1.276602813304229,1.1670263507441123,1.1888113244468121,1.244383211888763,1.2132067500559738,1.2469072187221903,1.2302958429799165,1.2520951488465057,1.2514510542125137,1.25494855745919,1.171354765887138,1.1861796178736919,1.0817160060791782,1.0833131353714762,1.076336739789206,1.1002066606924286,1.0385901107822493,1.0754751736646881,1.080611898222792,1.07044825973496,1.1142392609990879,1.0937444005237154,1.0716414828893492,1.144580153820415,1.0804987323456399,1.426385206058268,1.1896399514562845,1.174427443571585,1.123495404419363,1.1937148456215123,1.252378577029091,1.2061341010057,1.190331580770852,1.1296141472133994,1.0432411352131836,1.0722796406518433,1.043298281143484,0.9981936637303993,0.989975228648426,1.0156381809299442,1.171216856600045,1.0026916589136197,0.989573508567893,1.0005895886616905,0.9879249541125548,0.9884209505352721,1.0559040452636248,1.1105675650506621,1.1998739208312186,1.2852503791768217,1.3123477261217342,1.5065279659453743,1.7410533198100773,1.3940924693256713,1.2878967539202324,1.2259750755346053,1.2247303209292377,1.1837067130243626,1.174315758323211,1.0745794439434968,1.0060563168758658,0.9915642043561499,1.0459755204859318,1.1129853033028325,1.1681709801600046,1.155102747072965,1.3955669387253615,1.3190203082368168,1.1146043125051897,1.0505822117516812,1.036965466603125,1.0810449379616662,1.068810906030705,1.0724457159701428,1.130212071689974,1.1497057921433036,1.1827518001316346,1.1192512923076605,1.2091345807938922,1.1350913749771674,1.1561383717279308,1.1934896456352833,1.2752951329037352,1.199777106875286,1.2237292826770527,1.1457742213466728,1.3191123834133966,1.8242410044594393,1.7014683529595853,1.6927147910067466,1.8228811847110034,1.4525558919767934,1.5855806084424242,1.3875700904116004,1.5192854520794665,1.5847365579210102,1.5101383225189835,1.3831236990802553,1.3778730595123256,1.3988922653901275,1.334896527871332,1.2946638760036417,1.315548263659437,1.3528468140310275,1.3257763521097299,1.393395419386343,1.3916333922462942,1.37499582632328,1.4807220744715137,1.5495787194593802,1.5379516754423972,1.5626840140604346,1.7338387907400252,1.8261812678929306,1.8430656980094655,1.657177288355718,1.6427608842122976,1.5014479719099445,1.4845170820232476,1.6925600836229018,2.1253711720737583,1.6753609979212571,1.566072836884924,1.5446734602694496,1.5400869816262528,1.532109229786441,1.6726136911921718,1.6746278746943783,1.5334240019965473,1.6335903615123888,1.891044819526948,1.7630271589096456,1.653009075762181,1.8789381750127283,2.050264696554812,1.774404476196841,1.830621031490553,1.514493919711111,1.5912437397731172,1.593979635258709,1.4349044183781634,1.4789837393742846,1.5037163921779773,1.4168554760172858,1.402938929648694,1.472215768592662,1.3966017883554553,1.3878814679265659,1.3543123532863754,1.3546884021408723,1.3707958144965975,1.3773544694919293,1.3794275489746413,1.4295627672298352,1.496563492600736,1.4960744726737574,1.4504265769742613,1.4453791778020648,1.4128005021247896,1.4178801882626948,1.4845994525554989,1.4122749660319016,1.404426886289719,1.4699564835427426,1.4535088138161116,1.4149015728578196,1.4179416296444785,1.5953278551809116,1.5598034265155891,1.4385502943508341,1.6268419996607595,1.7551203113974398,1.597400925279116,1.5007677954443421,1.5123061937972175,1.9381203607627997,2.1166424151047667,1.8740184306075238,1.9586746754328859,1.6219657957298546,1.7542414767508914,2.2320961340288776,1.9942008815447045,1.9989094715397433,1.5683758180268357,1.3293832638517227,1.2564040566009589,1.2966421797945809,1.2574215715607475,1.2784639381780554,1.3071369707466027,1.3343920769046471,1.3872057292998978,1.3110274457423112,1.4247421417718282,1.3946102193666585,1.4302898385406295,1.4694729218635068,1.8490056072852674,1.5710154701100574,1.9978853558084322,2.798746459308321,2.9505126781130953],[1.559534222817477,1.1631959021269127,1.451957128606908,0.7708639679206278,0.9205391026698938,1.0437573517874803,0.9365540155716048,1.0111566741078777,0.9576481890628509,0.8799989624507611,0.8877621886521301,0.92670504163931,0.9603232850426684,0.8613488437585964,0.9473161059629813,0.9746525583485559,1.0000601380852479,1.0602012866585209,1.1492351216022112,1.173499491498226,1.2670903021856295,1.378643210080492,1.5015894066565583,1.5952809331264384,1.476418509959588,1.2788760225553621,1.2215181951001224,1.1198894701315298,1.0965681206988127,1.0520515996268043,1.0276693123665657,1.0797320238737196,1.085472139946613,1.1264371541495213,1.1558331394904844,1.1459652024912639,1.1793742987764342,1.1867287807556939,1.2074899955509806,1.3373214714454875,1.3475166263235305,1.3059753503361948,1.3790563005102707,1.4743230301726467,1.7551156811017474,2.000199684385757,2.154592359376295,1.5497409867238974,1.5544371904026415,2.0624674785241264,1.7857726970824048,2.072492040883245,1.6814897695830857,1.710876062648656,2.04518502099464,1.6597697342953157,1.5080847776006137,1.4990482075506597,1.4667350412867832,1.8169970248498934,1.5575968690430881,1.4839847603240044,1.3443963130193468,1.3953100028772236,1.5347513862553246,1.3113618939426925,1.2632303700944965,1.1093386720066067,1.1142398772569653,1.046786519235304,1.156698555624507,1.4164225586183028,1.0589516851659804,1.2096519810027155,1.110897122143435,1.2936892962465523,1.1869656941163544,1.1964923305412505,1.257888673950907,1.3417673921330695,1.2808307508383494,1.4541123125766038,1.3922805709497572,1.4739128557819101,1.289654629321937,1.2509424972882317,1.257973260381895,1.296022317582066,1.1956954297249955,1.2414198891879726,1.1020178992670153,1.171521756525171,1.0970134343200093,1.0091652928823251,0.9800191593885003,0.9605569105602444,1.0388873312412856,0.9985950906289457,0.9791281625116497,1.0885566409813205,1.0881982630936828,1.1461834201486951,1.1129328941797023,1.1243556728801363,1.24899614591357,1.1533061692008817,1.1801812264626224,1.2096318025148942,1.1503818765151779,1.1283992464370995,1.0334970436562783,1.0422716467373772,0.990177970204947,0.9471121902232553,0.9529149845847794,0.9835457130115867,1.0711289733696474,1.03656642489449,1.098962212224198,1.0378460829427922,0.9676029997175383,0.9601619814849434,0.9551268381178781,0.8404510344062918,0.8355379427441251,0.8928945892742957,1.086503590341,1.04360134095238,1.0782679996291007,1.1516253794994495,1.1955164711604478,1.291377631259321,1.3356520874181055,1.2993423198365246,1.2534040422484933,1.1208177007395324,1.0661359604787788,1.0172069937008235,0.9452480069500868,1.0723780098257658,1.1091509696267072,1.3554813128460368,1.148767486070884,1.110070715739161,1.1616010222876059,1.091999238507503,1.0502030353095209,1.0249587522871402,1.0463526639618894,1.0173530710251346,1.0289805432605386,1.020164957308941,1.2929012830657718,1.3667791662986373,1.0753377559906538,1.0572324337426695,1.0098995559033952,1.0477422208051255,1.0616153194553568,1.092312003243251,1.1191449581056345,1.143714210543196,1.158676685059526,1.2357087132182503,1.3290410290995764,1.3812223324877602,1.4484415577578786,1.6620367856779255,1.5382271161920462,1.381573075424529,1.2833633537473974,1.2021153168365237,1.2666070110644427,1.2393738943000479,1.2188154229858768,1.208811511729768,1.1577509940309945,1.2542527193550461,1.2515417779294118,1.330739205855348,1.3195598117618226,1.2379948753852514,1.3505991853574708,1.5125641939886854,1.4165590920375397,1.4143583535888788,1.3849451789865763,1.4654313382178346,1.971091248680882,2.0015365823929843,1.9929167859373373,2.162241345072946,1.8309324228287511,1.9196858097627825,1.6228697324266088,1.686143808552638,1.6645264305600875,1.5153005408098636,1.306856771136831,1.248616863323407,1.233447720734594,1.1147003245787284,1.0526538151012375,1.03451428504,1.0821210335584523,0.9826208542654236,1.0271824127800464,1.09192890681567,1.0407280333849587,1.1346654046913882,1.2434462317009591,1.2390835809908984,1.2258084535099347,1.4328168399570362,1.5913844431038369,1.6351432419913083,1.3952518278765151,1.4293078860729755,1.2659404936362404,1.2890785265556033,1.5427878547262746,2.1497993029404565,1.6958868522673083,1.5183581310943388,1.4847833907307646,1.4808713693943598,1.455987957122251,1.6846213177443694,1.6535890840134662,1.4463705631844657,1.597840325226996,1.9164546153044444,1.7016274174352106,1.5962630157800282,1.8896429421809557,2.011037288087371,1.6931173194024813,1.8219555900160798,1.4133664679203541,1.5358912957917725,1.5835859165621458,1.336600570180742,1.4031373325543037,1.4184220056308583,1.3352615182358831,1.2599490418550197,1.2987851282148422,1.1937082158681152,1.1446630282942782,1.0702795330238744,1.0444117452966026,1.0242719146393628,1.0297066070645444,1.061786326489626,1.0837150165745444,1.1768793172666094,1.1749398748819582,1.1621425889175026,1.1648831556043773,1.1917513491033322,1.201582869461887,1.356194913438495,1.2491378008136695,1.1632551728316947,1.3097400315571848,1.3339463501209885,1.251048695518267,1.2396130605900195,1.5147208087409711,1.4738210869704405,1.2641279437465425,1.4781668377801345,1.6853551006973604,1.5548188152812636,1.3865196961225223,1.3080567279589568,1.9024125130809075,1.9143877153874267,1.6621359350655251,1.7757794801165883,1.356592802113951,1.519868971850214,2.1420867167980164,1.8089500256463324,1.7339816806777226,1.3157649906838522,1.021071634390993,0.9751811540394731,1.096190910244365,0.994322217583083,0.9850360247144955,1.002412367600887,1.0052419035780247,1.0514458908940092,0.9298888240268491,1.1056892430960037,1.0189991048956903,1.0323500529555338,1.0414593564210501,1.6113575488551957,1.1884068722022259,1.8387307062531408,2.491862922963943,2.8804292995078713],[1.4688870299448382,1.1842793256979534,1.5530683673871406,0.8135178452378544,0.903661042272652,1.0229390465245929,0.8537960546680264,0.9102438298899751,0.8564549086943182,0.7232295981342282,0.7229775421825687,0.7652330689463123,0.732238169880407,0.6621056595934026,0.7150322836816417,0.7126746482054448,0.7520896571040381,0.7965870807369477,0.9227794432364651,0.8858309364589722,1.0071833253561768,1.0437297943569068,1.2430997493501679,1.3850482132470145,1.2152634441671608,1.0321346378057503,0.8977024884954322,0.8156884514850881,0.8048497754087915,0.7526387696911189,0.7726107925886085,0.7837874375801017,0.808614549704377,0.8059714431984151,0.8128879926769552,0.833465789432108,0.811819687097168,0.7880221712826773,0.8265615236701724,0.9136945696833874,0.9504822590950177,0.9252969757339258,1.0118619174813397,1.1540731086442242,1.476650021989909,1.7300939287772021,1.8016947953633102,1.1927241112929166,1.2289693966990853,1.7088096856750408,1.4538670415542008,1.7958619711004964,1.3784408634108087,1.3626745498127666,1.7344475921925022,1.3213929972656904,1.2305782971608115,1.2894805717480011,1.1882546207715317,1.5536729539089544,1.2537063084907512,1.1328922328099236,0.995534743616717,1.08331003604399,1.1717913930171466,0.9807459383313568,0.9938090051302245,0.8295994267782867,0.9059123559534368,0.8781722070211039,1.051652049074149,1.3288936546647088,0.9077216237674585,0.9826478385165497,0.8851236345430257,1.0622857779016248,0.8758901525457761,0.8656172045217373,0.9068107704461603,1.0105446427426523,0.8586406418333942,0.9977095406715977,1.0375713700850193,0.9598445953640041,0.8674082292539252,0.8434467889270493,0.8438459216902252,0.8894763396522272,0.8563081149249108,0.9156340315665511,0.8074021874005025,0.940216108018084,0.8247898112012596,0.7325118117283715,0.7276133067570355,0.7433246003514816,0.8554396918517787,0.7862531226983347,0.7749435415671766,0.9016657832652493,0.8236956242771734,0.913445997568885,0.7922320604151217,0.8126597440637846,0.9017205400972537,0.8352429229498562,0.8939193695216555,0.8913951436306122,0.877326557245857,0.8757090025488914,0.860054484533165,0.81076809434302,0.7944639511159105,0.6905185282166312,0.6941508487672278,0.7142458551923454,0.7816381145993998,0.7849852336000194,0.852550050817414,0.7696446377749677,0.7355455041315354,0.7404011429217466,0.7285236355746455,0.6059200495069779,0.6642713881288221,0.6587388386235157,0.9393380887582531,0.8392505438502769,0.8033078789388249,0.7776886903502978,0.8543743966701149,0.8968223020277073,0.8720791656437034,0.8469537085623196,0.8265781121049153,0.7478603674168707,0.7590761921773459,0.7326113870246573,0.6864421503004776,0.7517729407627602,0.8652098185133555,1.1100104173706824,0.8439634841224749,0.7799958794765849,0.7906607634507171,0.7292913273583266,0.7086926927729974,0.7108062867921257,0.7444623283393778,0.7967064824206043,0.8561162052309326,0.8972383270706942,1.145182434620078,1.3078650001910976,0.9949732631040911,0.890052437940832,0.8137145439456692,0.8188305210069701,0.7930138563503681,0.7936365935876948,0.7546057618174736,0.7391896798383174,0.7625195600088417,0.8330738780667022,0.9333546138411368,1.0562708556129226,0.9736769032307774,1.2276417780916273,1.1754831125925653,1.0050609390585195,0.8552341873664077,0.8237696924867056,0.845787610498137,0.8056688292715298,0.79350920007998,0.8161469142252282,0.8118214916585975,0.8720118304007553,0.8308931354224564,0.8941522658557923,0.8708457730334179,0.8376804121775863,0.8805280615360919,0.9994288975614816,0.9270759568818498,0.9869117546750483,0.9671940896269843,1.1219338867192334,1.6064479796569922,1.6661276816142478,1.6590516036578928,1.6111268206378495,1.283344127355355,1.4924620396499657,1.1510613842332782,1.2610107699050062,1.3615233947529084,1.2473851162903073,1.1022377151832752,1.0592645412608452,1.06879022975662,0.9546282202431865,0.9144280351901553,0.9680239438333318,1.0056223419972985,0.9528562745356498,1.0884115517585018,1.134658208872909,1.040594163884756,1.2012468021771021,1.3218257380099816,1.2885483185386264,1.2818771687000183,1.4893144186365626,1.6346224325597483,1.7013587203483596,1.4280709066321164,1.4265983101166089,1.2816990475648768,1.2685048894243665,1.3439244701869233,2.0497545204487158,1.6085705345936923,1.4059997302041916,1.2991748774184442,1.2438054385280641,1.2190990164363218,1.385326382255719,1.3736253731067682,1.241676098404561,1.3229883329103862,1.6017328195259517,1.4553048963071942,1.3468014116840024,1.6186399106608946,1.702942564994924,1.454106700356609,1.6417234221039656,1.2294195568565742,1.3089944978525774,1.2941150917107083,1.1209691048781305,1.1512468399349454,1.1695624942199006,1.1188974820491995,1.0567286775270757,1.112899548168104,1.0080971092076378,0.9962904089804864,0.9626724474269698,0.9567281709423713,0.983504061238256,1.0238687730712506,1.0254270331631268,1.0683646784713896,1.219175060189896,1.191990178413123,1.151265497260663,1.132062491089913,1.1222741984255884,1.094798882669503,1.203894625810774,1.1724213641545294,1.1263863906326799,1.1734482192256717,1.2173387568234977,1.200014288769087,1.1587925292599583,1.3272516192841834,1.3656318093446214,1.2495442331008795,1.3451564450505462,1.4504479733562892,1.4597230119965878,1.3487025720217112,1.3678096484093194,1.8607967694815233,1.9688743272327591,1.6155115121587003,1.8307115706133559,1.4690706865287366,1.6233736758838817,2.254660123425851,1.974843641336732,1.8431123641681064,1.4368343517501656,1.0448258650823996,0.9638743263103818,0.9459148309984844,0.8727348262251128,0.9982107003135926,0.8911210881645629,0.9184192053567936,0.9445814256925948,0.8912821891149456,1.1515098489302653,1.0267841167345002,1.0341316498624018,1.0822470492635896,1.655893769287677,1.2243107645858613,1.9889120519277275,2.5118597542712298,2.9242960787428585],[1.299508461296513,1.0348770103245921,1.4524307191382815,0.7246865884393118,0.8400606446716873,0.9392010225035567,0.7862612340921239,0.8185758542083998,0.7900439366383206,0.6765767734239237,0.6675389168655539,0.6977511374858661,0.668966575684561,0.6113034957019965,0.6547968984040383,0.6414627035305414,0.6527513068564346,0.6722992138572204,0.7853102999531044,0.7191773032085927,0.8421321326639393,0.8719812517159119,1.0807820595240312,1.1967873217476745,1.025227862909827,0.8623914133223728,0.7347887057614928,0.6674003035188253,0.6703944764083425,0.6376799998079735,0.668541894733212,0.6707157512354222,0.6943000853750035,0.6774701714999726,0.6659570536270042,0.6894141025301151,0.6532908595894991,0.6282970435819915,0.6496735588003897,0.7003993584680019,0.7398645434331114,0.739990550000042,0.7959204877259596,0.9103336780982793,1.2529514927145649,1.5190989943062787,1.622150562265603,0.9766940859986067,1.0421585357612662,1.6033944177871624,1.276725043898569,1.6029517848039523,1.1673355832268433,1.1234031192863234,1.5280490523557144,1.129769369572773,1.0390223696594443,1.1847871112784092,1.0132142399347772,1.4710766358351364,1.060885362867394,0.9345200210138676,0.81740900562324,0.9090914432013281,0.9907865711080857,0.7917830443996874,0.8674487883812866,0.6930573359650698,0.8166191508404815,0.7984167894784323,0.9947371391915618,1.303593968056448,0.8398927607588361,0.920867129090597,0.7660561086015514,0.9474094299950186,0.6990082416323232,0.6940906943977565,0.724134670496421,0.819974381001998,0.6751546738597893,0.8331801473652098,0.9205078672096982,0.7967051234485151,0.6928581735697614,0.6506843095232067,0.6401238580187918,0.7420175215401292,0.6785895096490762,0.7473517631377422,0.6797810165613121,0.8415340996344414,0.7391697885606815,0.6473441024639834,0.6556593045113301,0.6905053623351258,0.8045129340773578,0.6910169913596291,0.6841893267200668,0.7837464923271645,0.7153488257473036,0.7878688685804628,0.6851230752934385,0.6911680058167998,0.783244445915632,0.7128304492120484,0.7868429543235524,0.7951937264181512,0.7343512618688147,0.7684776453211675,0.7379411669961488,0.7137123150874866,0.7116213629433917,0.6205554157237442,0.6286914813783431,0.6403870572329343,0.6724064490618638,0.6662358724568355,0.7472207525717898,0.6559892168774549,0.654222798621328,0.6764392328472338,0.6779707104172701,0.5695226151508077,0.6379162000010277,0.614949358042661,0.8440404332169573,0.7600077224450048,0.6734724543576264,0.6669074784661,0.7311062622671399,0.7734454026713606,0.7708200183813848,0.726452266797127,0.6992984254339554,0.6565844286624266,0.6827399457671233,0.6271425835702188,0.5816005841311245,0.5957305905144898,0.6848220571510513,0.927862972359361,0.6659731048918802,0.6222501164048163,0.6177834314379248,0.591396601498893,0.5939084910376246,0.6251283208818031,0.649474278104701,0.7139921366598283,0.7593340160545983,0.7875167782765676,0.9777993740043348,1.2078312770529736,0.9443319722366094,0.7728004403585872,0.7105697931936504,0.7020626546307477,0.6929629915749304,0.6898501515841422,0.6485706655455631,0.607411814490709,0.6031914719460143,0.6539466527629691,0.7230055401618793,0.8139541047195578,0.8383659277357942,1.1169022876952874,1.069293457322171,0.8610711902539238,0.7035705551695767,0.6544381407392273,0.672879121309162,0.6556681011790585,0.6521606358930064,0.6825513895918024,0.6919238413807056,0.7277067221631722,0.6821566092068383,0.7380208452845518,0.7179498866381429,0.7124739811588662,0.7371118496227181,0.8555133173944539,0.7713443896896358,0.7971130125968482,0.7378104503674404,0.9314411754766484,1.4261243622477187,1.898535545863339,1.8940384697920676,1.6399196048442044,1.3156562468108774,1.5362909841650518,1.1043421442495194,1.1639793675540218,1.2441042001406462,1.153424528143824,0.9785843374247114,0.921991111248803,0.8793978619852506,0.7388734538970638,0.7054096130474263,0.7268820162700059,0.7495956595500601,0.7371211425822801,0.8728841221066,0.8844315308834656,0.8201707206431149,1.0673477561097198,1.1668721136075646,1.1290288921628415,1.1868997388811797,1.4214923006720492,1.5634587056495743,1.6007317581462517,1.2386905064099123,1.1584770722997204,1.0048867464223752,1.0059810728850105,1.1173302532268707,1.839067610129301,1.4274069633366893,1.234650220029562,1.098009627783532,1.0418987262422876,1.0184678900140476,1.218939410448398,1.2096486641937285,1.0565596139762952,1.1637775597690103,1.482700441805657,1.3404645327539735,1.2156124614782056,1.5335347112079487,1.639635586940612,1.3725728358604763,1.5896878960549479,1.0905276431958373,1.1694788563581882,1.127028439709171,0.92849152710174,0.9619046472237548,0.937100734462154,0.9430913551816393,0.85237827144528,0.8615613131409938,0.7597916266966549,0.7639764958164795,0.7208302773213751,0.7297813338651994,0.807380576860333,0.843581443457573,0.813797175073504,0.8940244179612895,1.114899723016378,1.0152158392737036,0.9406302470347081,0.8926495164935598,0.8578650349575723,0.8408156868574078,0.951673118808725,0.9117704137705024,0.8571144547768682,0.9261574457048689,0.9802988464909969,0.9441407253534103,0.9222927166682962,1.1482801823821993,1.1937947743567034,1.0187936280366525,1.2046190002462807,1.3491363294320335,1.3480865557189337,1.1898848651247147,1.046580443416157,1.6267167199142902,1.6526265695568954,1.3192366422122352,1.5833280463430475,1.2168719119293783,1.5246409340876572,2.1654161274081245,1.6436837405108753,1.2869335015995513,0.8186092370772935,0.8509456301795639,0.7185457490089527,0.768871309207702,0.7082397885045494,0.904706810210354,0.7105370429912471,0.7204603791177825,0.7750482973748645,0.7458165687102408,1.0380308434713637,0.8772461363220372,0.9281655800394778,0.9917718933199204,1.565523675997807,1.033218817568548,1.9027001114860325,2.288566802507183,2.7716357913241834],[1.218552236240773,1.005284641390096,1.4766948553988806,0.7712290515263432,0.8908980117329892,0.9480095058583418,0.7767009891155799,0.7949022413076732,0.7651490438835318,0.6288628826526579,0.6160095665780781,0.6562031170396173,0.6039523166941984,0.5505054156710011,0.6005077629189752,0.5755646197049792,0.6034693643009342,0.6426763585761798,0.7943041361783477,0.7026380274364117,0.8382453617035688,0.8659426161727314,1.0754534078882654,1.195933648150206,1.0182985021702655,0.8724538594081732,0.7075130632750106,0.6412157962781977,0.6187869082402806,0.5543207598369384,0.6170672513840955,0.5742297607215597,0.5978606059719171,0.5925083768983084,0.5801749062899161,0.6167032048435102,0.5613041525367585,0.5381696508063987,0.5598476750068045,0.6175982072577801,0.6852255921037654,0.6917070764982589,0.743445383096128,0.8717553412317379,1.2515282382120423,1.517039334795641,1.5661931167247454,0.9202522053099262,1.015006274365531,1.5850701821321207,1.200180346612781,1.525026744163,1.0975181044701803,1.0868533903149347,1.5378313374154777,1.1039798590275762,0.9935211609894463,1.1516171086328346,0.9772989675472759,1.4525313044688732,1.036214236028583,0.8979547775841634,0.7723035619920146,0.9002577924463516,0.9647840131581203,0.7664814735204978,0.8528855072342135,0.6777368313179091,0.8351788179222371,0.7959249478969136,1.0004762896272141,1.310504396046353,0.8412467363752557,0.9381418236403584,0.7529515981012501,0.9506282627864358,0.671838915560306,0.6334043150674935,0.6497023396670889,0.7626497686954793,0.5906682152968568,0.7781062923491915,0.8538301841832431,0.694685278696601,0.5980674704458552,0.5445369382421071,0.558665725612331,0.6611134594413248,0.6154127281260352,0.6721414582206805,0.6199340541960501,0.8059215922990792,0.6850853282187432,0.5779407568241953,0.5857309065257245,0.6377297005097529,0.7569346796470479,0.6282477991689025,0.6180143873496851,0.7082994180890597,0.6349020856426693,0.7136977868112863,0.6015982915514039,0.6101835983024891,0.6837578495628583,0.6254530650690474,0.7110787729713226,0.7518697506071554,0.7225316850318905,0.7471751468615869,0.7087509744837427,0.646562365283641,0.6657445526031547,0.5408682187977125,0.569414567697701,0.5934126239408496,0.6491467574697124,0.673760955043747,0.760502801375269,0.6483228910239915,0.6639389490011732,0.6629829488426703,0.6794013382484201,0.5273814908636378,0.5921522290564266,0.5636578872284761,0.8499677841132495,0.7156016112544197,0.6455936155530566,0.6132320356845958,0.7264059440961502,0.7463292846540092,0.7230609733673912,0.6474537360501156,0.6223083726784474,0.5701229004174031,0.6605401244368931,0.5391135428438799,0.5033417330053407,0.5341836866283913,0.7116205835992272,0.9163572650789604,0.656531323565694,0.5763137357109328,0.5472962459324605,0.49942511501014447,0.5017535509276251,0.5224987080103803,0.5586395627572317,0.6548528136933188,0.7130889266256798,0.7414800870813626,0.940274889676482,1.1504843482037144,0.9124511956165134,0.7107226452031388,0.6492793486652104,0.6355533972990816,0.6055960031243353,0.6090968322409002,0.5474640740856325,0.49358626155692875,0.4947888758932722,0.5406962766597136,0.6224846114695557,0.7202404359458151,0.7564006586941336,1.075752637426636,1.0819910089430922,0.8403789621129606,0.627784062072745,0.5472251984212272,0.5566345458560866,0.5322338491281384,0.5325989562955288,0.5670966501068908,0.5873779445840793,0.6117588377946365,0.5783683436152843,0.6179023304373226,0.625559065261748,0.5949893670527975,0.6522733886335793,0.770888037165557,0.6851843143033385,0.7068609077696112,0.6608639913718084,0.8622630126512155,1.3794239311062462,1.9519961072354752,2.0632704969633897,1.4084707647000614,1.2497263623974297,1.535937083890776,1.0618754198558835,1.0693125197362119,1.1248750574081359,1.1057370783212168,0.9827589222722171,0.9503821654542882,0.8977822259736812,0.7791494110717959,0.7561190658030167,0.8033196201650595,0.8107821301285228,0.8078476055085394,0.9790398178954143,0.9670682649318274,0.8831503042187734,1.1098308794566563,1.1893017459943784,1.1444319805172751,1.1907082120479657,1.4074184167722437,1.5099535750201933,1.5654687841154122,1.2556661198690513,1.1773437909129465,1.053918889890521,1.0477072239908034,1.089425268690105,1.8068842653070192,1.4508430561842096,1.2623723700177993,1.0935597313729362,1.006100448438502,0.9806132248118637,1.1476025520072284,1.1341044306391632,1.0299760782321292,1.0905192868510307,1.351529968862055,1.2509269510123882,1.135906012677963,1.4464904222301418,1.4501522138459677,1.258200702349305,1.5198019119841861,1.0575487178655094,1.1235977188286137,1.0678298940476947,0.9267729044836666,0.950250967933146,0.9189042587200018,0.9519631187533699,0.8503398103167217,0.8561402245246845,0.764055114065004,0.7763409819246702,0.7606552243652221,0.7742359449520027,0.8567496089779331,0.891812915575754,0.8597939121270689,0.9273975954391609,1.133763499495529,1.0402000713803925,0.9730893888698405,0.9276548687127416,0.9048803524826353,0.8752893853670587,0.9606378161249062,0.9467932127424753,0.9148925137506129,0.9371296925547367,0.9956073824846444,0.988141219284218,0.9609375949001581,1.1057100408704743,1.1701528297054484,1.0681914941019197,1.1611830323551657,1.2551840131505705,1.322241553426165,1.2076649386054676,1.1292282218405778,1.6085899431857182,1.6730338184553049,1.2946989284512291,1.5116221673734074,1.2496246192231482,1.507052991395906,2.073861092473875,1.5879934860523288,1.2384028857748937,0.9389063609129281,0.9520165062379842,0.8172255430648458,0.8057635385420236,0.7358805079350674,0.9911858535454967,0.7339256789419053,0.7492034307232757,0.8023938135277823,0.7660177164733282,1.0736372055204348,0.8741175500308305,0.9318741848525957,1.0222109762139862,1.4846430752251212,1.078625930820007,2.093732218711427,2.386493003145125,3.0598332372509085],[1.4821110382545855,1.3488988367458077,1.7674733077979234,1.0713920676111106,1.1217790214664025,1.1876353170208458,0.9842952593680244,1.0027800731912417,0.979400545882212,0.8414291916729306,0.8437022194902791,0.8517306606399883,0.8086647417702364,0.7832117040144296,0.8107041572019598,0.7858181853486307,0.8635238751431568,0.9208518865463181,1.0747199017916995,1.021663733314367,1.1418220967005344,1.1718756147462137,1.3563188117126614,1.4954902462437623,1.3373243016260468,1.1844141782850433,1.0239890710277888,0.9596178472775533,0.9107680863953511,0.8146575925722525,0.8502768031242302,0.8041160811637434,0.8278560159599067,0.8368504287020171,0.8312013921905294,0.8888517356452449,0.8149076438725744,0.8609641709538914,0.8981259494909014,0.9651344463550242,1.0398098463955552,1.0246265849548573,1.0944139771407615,1.2533654686343307,1.5815754427312003,1.8305883259668747,1.8041913254060968,1.259323954389514,1.308205105774138,1.7195667293867385,1.46066917654874,1.8181572485714188,1.4121596664383935,1.3973041465617455,1.7580192862692152,1.36074861689588,1.2981890002933898,1.3598940368487955,1.2634722814058252,1.591312343842086,1.3413208813769482,1.203423005140932,1.0750891599365424,1.1593786281351666,1.23139216827705,1.0837311120629685,1.115488028646597,0.9599092069719203,1.0720682444125114,1.0179653163209845,1.1727447216642652,1.4291668043851653,1.0537144780951615,1.1352360129413097,0.9930757738392032,1.161001837444271,0.9718108145220014,0.9176794552503347,0.9419587120187952,1.0541493832183213,0.8782439476899727,0.9934638626281536,1.0400417408321823,0.8934239962252096,0.8903594845764622,0.8601832008928282,0.8821094398594039,0.8943629244124554,0.9156167412905655,0.9499489104937213,0.8693681224760521,1.0046948467249655,0.8849210504809895,0.7950007033818454,0.7949437827350392,0.8283480638883172,0.9374214289890211,0.8354586569785494,0.8253324833154435,0.9132752497922394,0.8236345347388113,0.8921649091526137,0.7693009794660726,0.7597076740778957,0.7997788604071173,0.739050744474931,0.783770101819608,0.7725640993208249,0.7655226474475375,0.7952070032931644,0.8445862543410095,0.7894877038612655,0.8498549564655531,0.7741446727355306,0.7963429729642576,0.8547427888770265,0.926212739138582,0.957374668740223,1.0138652047118841,0.9204322213438951,0.9084522300541039,0.8773619760619603,0.8855417845101933,0.7607715606774526,0.7900801321070939,0.7575115571656473,1.0078658973687808,0.84161130863728,0.7264750966742191,0.6561796060297914,0.6985954542574175,0.730383987871678,0.7560338214852592,0.703918089986264,0.7393226575342283,0.7038537612622005,0.6820711129487002,0.8476612812569371,0.8631562115576534,0.9143844261411136,1.0633269098667963,1.2370339271683377,1.0058397822928697,0.9309971686806238,0.9128350629392689,0.8096691568759382,0.7991198952891683,0.7671422412907604,0.7517005563357683,0.8497621882575456,0.8711871290916513,0.9526308941325643,1.1418574053268045,1.3299025392496084,1.0498463788790846,0.9045813876410995,0.8426332920017937,0.8120995417525455,0.7979775714395687,0.7654853995963296,0.7343387436773504,0.7411789667289704,0.8262457581359546,0.8757998019370616,1.0255809812048,1.1579415616882511,1.0036010652212857,1.284576111425338,1.310785997928271,1.1299642451027028,0.9106145875851323,0.9137283183601804,0.8778380474905904,0.783165414272573,0.7551222179345477,0.7543090910631591,0.8032966108162055,0.8065823253392994,0.7914338739527785,0.8097223216763523,0.8428642173030395,0.7465775275327038,0.8020511583144618,0.9323538547714059,0.8970671729785005,1.0122870501097394,1.025049831463157,1.1633508467038154,1.5676605094468985,1.6734977166285585,1.7230555390295537,1.3103746311033961,1.1112718257208514,1.464840558475684,1.0748231052121178,1.0894553023611109,1.1519102614191685,1.0821482196075107,0.9734763418070767,0.9266746814041631,0.9508459134045166,0.8704386373136181,0.8808565137202458,1.0117367372247905,1.029509029071881,1.0611193680705087,1.328551693085893,1.3138492359610416,1.1833357493138397,1.4223417870129886,1.541954797586216,1.4880599571709274,1.481892924931684,1.7012291439177658,1.8132266474257703,1.8825852235127833,1.6091425205428642,1.5534154406319423,1.4289615421470456,1.395036215656549,1.3429070707058055,2.030668479106992,1.6664574901670957,1.3845827583996055,1.2204399449306091,1.090448111337394,1.0345107558114102,1.1607459941604041,1.1871734266376892,1.0961521726426846,1.1007952233355986,1.34771116893356,1.2767496788035682,1.1429345193049218,1.4094059895906303,1.4221524617619854,1.2738183281995485,1.5131619574036588,1.0893074595346568,1.0928873366710923,1.0522004401944132,0.9550523836149423,0.9610318684096346,0.9756347178708799,0.9762276280088414,0.9021511524994673,0.9954318047473723,0.8936593116757224,0.905011645823605,0.959166361553488,0.9868655654384094,1.0589677773103763,1.146128792345195,1.1225024537340604,1.180569013013527,1.3655879008809704,1.3435829278615392,1.2725783155893409,1.2337238491102778,1.1740798809718611,1.0925650664201778,1.1493183101676532,1.2114268860005657,1.2061399617612014,1.1188910928607716,1.2084159454961394,1.2585156756309692,1.1675018030948112,1.2381255271720868,1.3655738829872266,1.3174703797630298,1.275812300377453,1.334804415869004,1.4629357398128615,1.3898573715638962,1.457918697454267,1.780120705940489,1.9523364725625427,1.6338431703429692,1.9137975437058359,1.6751746379877117,1.8512515632905655,2.4082517818532856,2.1498996574520732,1.8386027023166076,1.540371528136886,1.168833888953218,1.1492031389581618,0.8829539729825548,0.903597826889554,1.1987407322838857,0.9118472431806128,0.966906691720532,0.9569780241790242,0.9883894462437625,1.3465854040766079,1.16427176396557,1.1123896141614935,1.2911707675982982,1.8125362045808013,1.3770762393860645,2.2258905194687584,2.664722700721112,3.1537108836580483],[1.3885484776578378,1.138004449177892,1.5026777990895346,0.7676855084469825,0.7554060290232297,0.9312931589411892,0.7403654314966988,0.767852191464562,0.7633843399194842,0.6494103992539133,0.661844125638817,0.6760653769642884,0.6703872202257409,0.635299244862379,0.6875940857963293,0.6839064986874518,0.7667395324135404,0.8192407241490652,0.9577671629799082,0.9323417114740049,1.0297311988372284,1.07314562919596,1.238910326479442,1.3627712212400847,1.2277704761462322,1.0682998313544156,0.9428574884570473,0.88014607750055,0.8394182012179472,0.7522401494022241,0.7775643856030805,0.7277827082164469,0.7462117086589976,0.774499452720193,0.7843503555425511,0.8377213137064704,0.7876597300682606,0.8184364577100729,0.8691333697211119,0.9747266077085663,1.0118107169613055,0.9592650505076057,1.0400660049429848,1.2075499518688653,1.5144944448167663,1.7712819120964638,1.772526515367413,1.2291929299473092,1.2955394067614223,1.7251890648674537,1.4654369339951603,1.85393716446953,1.4271410289127522,1.427862027821576,1.7738679008997942,1.3686685994384395,1.2914929835450837,1.3597629615850113,1.2581728347436014,1.6001205180811093,1.3010698455435015,1.1586614443760364,1.0158866574051557,1.0799081973758,1.1313631577127716,1.0151642525048787,1.013615624616122,0.8619738591851487,0.9569861612908479,0.9078350121036234,1.0965907678303235,1.3470464520262369,0.9550642460430673,1.028100492247734,0.9055603015007998,1.09710744428679,0.8978708796051533,0.8551075006115871,0.8987968741153383,1.0243244355556778,0.8790025290363049,1.0167907079754082,1.0955145177222259,0.9396839416721027,0.9198961619913619,0.8684288546562344,0.8676886764963709,0.8886429752959687,0.8765327008268051,0.9062851440766574,0.803358847252215,0.9366379856295567,0.7903196860243813,0.709043262605837,0.6986568555917878,0.7104178314587025,0.7943142555249539,0.7257350996895413,0.7003525968902224,0.7770065727233179,0.7364386634828843,0.7966454138099129,0.7522580430555581,0.7091570506392262,0.8598136786880299,0.7552508593806749,0.8085301094003867,0.7856057305832189,0.7164327510423261,0.750689579616425,0.6947608297351295,0.7127583147576815,0.6630470588148881,0.661383858820149,0.6691468920192004,0.7448960513284434,0.82327239979315,0.8413798511967265,0.9047884764123295,0.8030276530203044,0.7698622389612654,0.7383172663580406,0.7349595596156322,0.6124170598949249,0.6050230947883597,0.6392629189147402,0.8730983931702576,0.7192851415596438,0.7063663536953457,0.7210049936307981,0.8690329883764112,0.9123018107301902,0.9241934087009223,0.8519688892011332,0.8862606961255793,0.7717054656938633,0.7839985552480716,0.8907208796217674,0.7993314635800305,0.8395303464037838,0.9106310241151004,1.0930783546714633,0.8885447156736808,0.8432673570535894,0.8580507780519409,0.7525320369038704,0.7251253897136455,0.7035150056216548,0.6809886616682154,0.6928184972168532,0.7369122576554584,0.7562522749154971,0.9710716015549644,1.2190840567032621,0.8940383194314274,0.7452314165004577,0.709548320212312,0.6841561861303151,0.7410154593176617,0.7393985112285842,0.7585569284311016,0.7320213934118026,0.8058228653853342,0.8837024833912768,1.0285527917616055,1.0677953182856785,1.0043314542410666,1.2426996471270033,1.2907668186429408,1.0879027227349305,0.9470242238777303,0.9321247256549252,0.9406008057051563,0.8558833542962265,0.8102653453899422,0.8130236350413808,0.8241535656889243,0.8582746540990769,0.8540616635652917,0.8915300714495655,0.9292123230992364,0.845409745191473,0.9524750311801674,1.048020676490315,0.9945339142657192,1.071339149219535,1.0477866904740127,1.1898113928162835,1.5371258131754701,1.708166761876463,1.7415276431099573,1.3459218497476408,1.1404225859789952,1.4819960593830672,1.1697419043114456,1.2276744508309678,1.3246172027591723,1.2182265104796706,0.9698687144717165,0.9661089535553794,0.7829108592445384,0.6546665330658723,0.6435657752623415,0.6237559555800529,0.6446755016781613,0.6772399422853248,0.8623497521165933,0.875356144663069,0.7936927963119841,1.0837216674748609,1.225598098255562,1.1799182150736176,1.2120066102590699,1.4772631423362514,1.6226713727265154,1.6815002053124561,1.3307589687829238,1.2729258754064583,1.065273838135731,1.0466843987791878,1.0834903593205178,1.7863110803572242,1.3841308491477322,1.1548804985179444,0.9610581861050128,0.868525479421716,0.8630463085597142,1.0183887671908065,1.0187133227003469,0.8936504543413846,1.0195478188824563,1.2700306331922848,1.1869053224071082,1.0862894990969316,1.398669227991407,1.464315362892976,1.2504823229998216,1.5391846661375062,1.0024024276747463,1.1487486437939152,1.011248996072375,0.8033373079902482,0.8545644593612668,0.8003740110715148,0.8531593931822009,0.7601465526619317,0.743531984898506,0.6717761379718199,0.7148535629018666,0.627904214104361,0.6623675755961531,0.7658474569921865,0.8029035307091177,0.7653468692241799,0.8670563065299323,1.1061473555123853,1.0237190909397222,0.940625420843826,0.8821118923841262,0.7901063877357931,0.7358170342451602,0.8137582321511357,0.8409576490171616,0.800516010718418,0.7942483483229225,0.8740109876051837,0.8933101200231897,0.8133827185181995,0.9981043837300119,1.1136020735021266,0.9848558939416259,1.094956308694495,1.2002843986284442,1.2980271484018187,1.1851736748212298,1.1372890255922896,1.6053587796779314,1.787716205473232,1.431198613954296,1.7382062405496215,1.3418146511863804,1.599875892786391,2.29369721743666,1.8689594345800689,1.4803171587752082,0.8607710339693487,0.8357370489494835,0.6132811742335078,0.7777645425581012,0.6717354756387086,0.809111116826735,0.6548218845063833,0.6542713303533957,0.7282464313452386,0.6956258370829265,0.9886218105521307,0.8371378196802994,0.8942142958965232,0.9601120127525672,1.5590525510387794,1.063087321817591,1.8521822658920115,2.334924459335247,2.705534956623057],[1.4534967009142488,1.0828254454765422,1.3184718704823857,0.6569867347364916,0.674778402954472,0.8582969789232132,0.7168975565983463,0.7684161079333277,0.7420800737950358,0.6450664964275883,0.6626726048798395,0.6951969209834385,0.706395904649231,0.6393008540034543,0.704121076115179,0.7202504855608411,0.8024067665686719,0.847428311284679,0.9739287597102497,0.9665204277370614,1.0519340557093415,1.100094829635783,1.2567401783400904,1.3744018645202072,1.2483256765055954,1.0831936102738982,0.9726103878739146,0.9141907644027366,0.8859280333332201,0.8208875254576303,0.8188887955306781,0.7971713623091031,0.8110069617591437,0.8407365244877757,0.8554583972005221,0.8984964789123152,0.8720004063804541,0.8880115492600673,0.9429521011310839,1.0691933667260856,1.069888073584071,0.9981109186487602,1.0934605932378745,1.2712197528142088,1.552938986207548,1.7939095937330858,1.802359313169833,1.2856902155666365,1.3361358761357804,1.7300963196192398,1.5268997343652466,1.9443656217708036,1.5406210274218914,1.5385352906342376,1.8534185151538394,1.4496016056680125,1.3736421337678784,1.4235403123505268,1.3324220520285854,1.6442402284014692,1.3456149861830313,1.2136477948160833,1.0730985202269139,1.1180014292733167,1.1656675217643506,1.063405935757274,1.0320105302355371,0.8908865697622517,0.9622348780093227,0.9132757718387007,1.0881427347047947,1.329784173606127,0.960291876706817,1.0347327351784947,0.9337632153875206,1.1355686068748676,0.9498466384907928,0.9132937725401991,0.9666424002020991,1.0994804135920606,0.9815884245434573,1.1084754681681426,1.2115389773426914,1.0644431377545165,1.0286744878877787,0.9775968354411599,0.9543018216069213,0.9757173148038615,0.9446205133845511,0.96535674843191,0.8520931300281834,0.9735896357437902,0.8179183535596171,0.7501622973474967,0.7327119285644453,0.7291207147567413,0.7857317356952481,0.7811750319084341,0.7598055038499018,0.8171157048110572,0.8219692531843924,0.8810282094886344,0.8861979224440493,0.8560973366077806,1.044183625711449,0.9422738247842262,1.0303043482635865,0.9919249484184482,0.925636148725675,0.9125287230482122,0.821305011294826,0.8289111497993389,0.7142075231172079,0.7330943724837503,0.7077819553334886,0.7698124463044242,0.8466357365986462,0.8392629735183447,0.900322541087393,0.8141139910715618,0.7724506664322581,0.743883414835238,0.7332955334555479,0.6308355213454798,0.6067168008975894,0.7031092870137404,0.9580352508753611,0.8114768385914095,0.895266072399982,0.9193245832626616,1.0941392021939824,1.1694061224696417,1.132603395395433,1.0666339880481719,1.057381250072665,0.9030726506448045,0.9283455062354132,0.9636902187763925,0.8265207748964178,0.8717224500140641,0.893324503143864,1.0988859280196948,0.8949222355726687,0.867957369509337,0.9041277999900763,0.8136870426322569,0.7858343260197389,0.7811660334961102,0.7791432900292962,0.7486265248359226,0.8230106841260719,0.7865724128350247,1.0217886143865573,1.2831990274081702,0.9095796609064472,0.7948009236957517,0.7787262968853235,0.7859097678199553,0.8413661151191709,0.8764984545342798,0.8835113672120336,0.8339215872307397,0.8837829491856828,0.9727513148242105,1.1111305552298867,1.126661064409977,1.0690084148693497,1.277165890142356,1.3095407265615906,1.1155926859739953,1.0260186155615378,1.0123105359290938,1.0542210279250297,0.9856027006626475,0.9475810961903903,0.9678453818794271,0.9549964974112057,1.0202580340617664,0.9913304324486477,1.0537539131944875,1.0620201028958407,1.0200634558007386,1.1376578477623527,1.2095078236258645,1.135855892420232,1.1934963275152122,1.1351856401291487,1.2826539409628543,1.5728325809650894,1.6454447484838532,1.6189303772283212,1.4300382136816827,1.1856487063427619,1.5047256369405169,1.3252220706303819,1.4545845358918195,1.5658625330040115,1.4626614087144452,1.220594970257775,1.1856486785667413,0.9973279085817058,0.8513430204656411,0.8221160509034516,0.7490601741271621,0.7228305662985594,0.6738508806792664,0.7349475762876035,0.7517387113585646,0.7083795559706954,0.9439019234279435,1.0918059622238698,1.0658968800659536,1.0967515446951308,1.37007397875843,1.5546680794817782,1.598091352600468,1.2420053248573844,1.2118985525017492,0.9536442100981655,0.9582571470959554,1.1368493120488963,1.7404165559404416,1.3418801261624085,1.1879553450674545,1.0540931124199404,1.0244544886882505,1.0583082627828762,1.221691154373387,1.21449742431264,1.0827440811592774,1.2567127954390205,1.5011241726393196,1.4075401649340624,1.343368072412539,1.620261441018832,1.7143969744597594,1.490613214141793,1.7490124884772322,1.25132159153445,1.411488803984085,1.2562484328994097,1.0033032867289138,1.054411773749776,0.9992258951569276,0.9887663972634452,0.9431800010220723,0.8752849912536553,0.8060086416159431,0.853074736646535,0.7045688312134344,0.6827822429439857,0.7449477618449222,0.735205699502448,0.7077483458979638,0.8002436165041588,1.0108461627340308,0.9274977346185713,0.8515207642443121,0.8073591433054941,0.7504352413222224,0.7726453903213893,0.8716823428027592,0.8060139770377395,0.7445776280789375,0.8821417243532633,0.8986155120765287,0.8557008520701241,0.8626813270012907,1.1066252097638207,1.14915843967866,0.9575008564222632,1.24842073385909,1.345994406713795,1.3326590582646736,1.192193514250417,1.0229885196493447,1.6043003266335385,1.8222617725472012,1.4570124771163333,1.7698365015369888,1.2076983669917079,1.4546303565054466,2.20339069968847,1.7700641350456718,1.539085748309329,0.5983454623378134,0.850807395752671,0.6820163966802538,1.0116116315989652,0.8110136777118095,0.7507421503570568,0.7720718737156947,0.7133437677751706,0.7997333650014719,0.7346097330274501,0.8742608730160514,0.7868147034415941,0.8938725668393567,0.857668483405147,1.5103203163190406,1.009151890836774,1.6198413228447863,2.285027500149047,2.5423026407799783],[1.3774611827132954,0.9826807584721892,1.2405119568862708,0.641445803778358,0.7430487358834797,0.884922351321352,0.7524252926462981,0.7995815996040554,0.7704348732956755,0.6866509260673564,0.694053372509127,0.7447410373556544,0.7414194385319726,0.677682787440684,0.7265948487439197,0.7395170869642156,0.7822072759279046,0.8004036786252415,0.8919136226940071,0.8957553083967071,0.9633261435926272,1.0134299718244206,1.155509355598928,1.2461195229081445,1.1415934572860518,0.986719888722209,0.9021992332805371,0.8637456081679113,0.8384434416817486,0.8119885364622732,0.7934372594261733,0.8015393431189082,0.8155923406004123,0.818852379359271,0.8293552379853646,0.8664968327841535,0.8435645645987189,0.8367031167362219,0.8710741163061277,0.9977651168070563,0.9959352531412458,0.921199113997476,0.9915501458450293,1.1702576842902435,1.475688188694268,1.7208101559380065,1.7330642644163903,1.1867094992749248,1.258341617294401,1.679957054205331,1.4191395546711052,1.8042948755930992,1.4099871819993712,1.427950184594329,1.7974392162271622,1.360034497667155,1.2760816837638824,1.348480911913901,1.2395153902705494,1.5913553212405438,1.2357105340676853,1.1248898212386438,1.0020120367537997,1.0162549151189086,1.057514208034904,0.9809823200478686,0.9739033430230651,0.8304919503785394,0.9179715514841745,0.8781368639739988,1.0465123061694526,1.3108455655956583,0.9383418656846387,0.9912610308084772,0.8949464858129924,1.0949466953150615,0.8667399327574086,0.8494656617081944,0.906276825871014,1.0218053088924361,0.9269234914902335,1.056954921748911,1.163454718552247,1.0170059787926895,0.99495032654443,0.9221184526446142,0.8876037340018287,0.9476037275698422,0.8799385940582727,0.9178014928755982,0.8030146558059669,0.9070309323998627,0.7706690178960283,0.7502817046312975,0.7363890386468295,0.7378897607428153,0.8019261205373921,0.7709162099309532,0.7632855636376394,0.8354346763632828,0.8416819481109806,0.8946273695556772,0.8929889622492602,0.8726476129250614,1.0132455285894424,0.9439548822488958,1.0504156162601208,0.978194926791158,0.926733119019313,0.9522683562542531,0.8749697344362726,0.8646958069901775,0.7778933846711384,0.7799489743699579,0.7443778455381888,0.7711106007871388,0.8264149884859839,0.8081542251908553,0.8701285668000636,0.7790602581227053,0.7669704445239612,0.7476847895762507,0.7460969092344464,0.6821136818456665,0.6813885424662774,0.7668722536021779,0.9981118499785058,0.8625885656656461,0.9408976554533773,0.9392744270633986,1.1089196911171886,1.1615526428231233,1.1048591895616646,1.0383186919550456,1.0350128665382168,0.9147303906639558,0.9395642536705914,0.9815061046310517,0.8197042640090428,0.8450347540136406,0.8215677085498478,1.0112907990937612,0.8419288458581348,0.8307083164978063,0.8548167749230309,0.7872692768410504,0.7797212456325918,0.8070937673105876,0.8168033678472708,0.8040575264504988,0.8748569986648576,0.8207608127607534,1.0191397719811368,1.259929626348234,0.9502363929994212,0.8119314147661222,0.8177098499485751,0.8185576829079007,0.8642772137683628,0.890994388610489,0.885553161155586,0.8145631548226048,0.8536646393907054,0.9238609807633446,1.0455974678956312,1.0290793479139166,1.0120985928936737,1.229777941187664,1.2940540943713124,1.0781149149526057,0.986456921458147,0.9701653825410205,1.0088389874496657,0.9485335109730435,0.9149815724193696,0.9388594636501928,0.9517790597546787,0.9825415723136857,0.9576842885620501,1.0017913056661427,1.003827252128228,0.9889900757543904,1.085882365085127,1.1465950721884481,1.0804702032073554,1.1219521718920338,1.075935642677034,1.2002850593003511,1.5268914380402412,1.7354638923423906,1.7536941288442132,1.3730112835898214,1.1729511216909656,1.5204644729246168,1.2821192303444724,1.3710307902459133,1.4494406672318345,1.3966202579096696,1.2065486580754516,1.1965667053383677,0.9276271168272969,0.8033227104456899,0.8405360610248821,0.7041297326875062,0.5883310699726632,0.6600759328142276,0.6511027788093527,0.53607374462028,0.6127216610841091,0.9316210791748871,1.00494356728954,0.9965895597623695,1.1291013226984952,1.3887622862926599,1.5382348218748139,1.519376289256657,1.0844819252709972,0.8922370465058401,0.6429311985364768,0.6826853096448849,0.9171260174023658,1.4892088377294537,1.1344153352822355,1.0431060200565845,0.878051707573618,0.8591932266050676,0.9250765311546115,1.073543112164056,1.071769773659747,0.9451703738546546,1.1468445278969366,1.385973651110907,1.334503619294315,1.261307781244806,1.5247229731630128,1.6636113667091788,1.4569553405519153,1.6798659207522333,1.2093503803524563,1.3129273536266555,1.150647281662366,0.9042797965689022,0.9467657292011237,0.8535657674806462,0.9210195819627559,0.8688289762288662,0.7225868840407289,0.7088872238544018,0.8044112226699168,0.6262693808107228,0.6410188083504721,0.7891032307627284,0.7449363944219111,0.6468810500884793,0.8108146087442123,1.0830621777306944,0.8915630201405478,0.7813566258514971,0.662849503868612,0.5183452148819824,0.5528667634025423,0.6219790575037242,0.5518979815588866,0.4958904066362382,0.6605139990665271,0.6777213560402097,0.6134625239336401,0.7046175529355984,0.9621385128179857,1.0399037361015857,0.8111992098418315,1.1947648953492676,1.2910205370739605,1.316848151402548,1.1805744509235478,0.8313032721918441,1.485976750157813,1.4268866970257665,1.1035733426719312,1.4353677408841874,0.8867751000955663,1.3878273771453884,2.103554434709102,1.263206478788406,0.4653522398813351,0.8759444152187867,0.9971809665305972,0.8343302221404268,1.0838527078017028,0.903184485644224,0.8493249950416631,0.8124579713590879,0.7383582137166897,0.7961501221463244,0.7918149554592401,0.9058761949994292,0.812729720265545,0.9176390143497365,0.8367556127381751,1.5301745655643484,0.9417373958436704,1.5227000384647131,2.1642444353523302,2.367724529667868],[1.2965465650296153,0.798746917508218,1.085775822795128,0.43198815899245074,0.5982614676357706,0.7591977513872976,0.5958643201849426,0.6307908257397344,0.6086359755779934,0.5049357051059564,0.5019983409459923,0.5715905127587342,0.5570552734744134,0.482015744841607,0.5453013223950895,0.557082113083874,0.5867151199938198,0.5968040235186557,0.700493616949049,0.6859778436733756,0.7809029318170458,0.8305152201222498,1.0246103378003706,1.0938113385567325,0.9636267742758101,0.8047591926371717,0.7014624872105276,0.6460816961255552,0.6228413676090321,0.5926327104750038,0.5989585834874508,0.5807438671668446,0.5941591077350091,0.6063517983599988,0.6094490797102248,0.6436859301424646,0.6186466206477118,0.5857200290586986,0.6122472926923435,0.7202161867187612,0.7685364998823587,0.711490895598876,0.7719731308340193,0.9250528648914618,1.3016641463909904,1.5575698409713314,1.6339846663250106,0.9815820732790649,1.0738294781933293,1.6036040819864257,1.239898514336685,1.6234314778363554,1.1471019044655664,1.204472779323045,1.611725324237567,1.163601029572497,1.0442823487392567,1.1725364597529395,1.0174709106686408,1.5037621829522048,1.0367525051121373,0.9181802286486545,0.7725820575878827,0.8490196786170869,0.9035738692538413,0.7691458691919948,0.8297171213967226,0.6438216985368777,0.7864322085412411,0.7330218602921004,0.9330608041203547,1.233726215567479,0.8154062996809831,0.892575372820732,0.7256923233017746,0.9925243009423745,0.6640065666155863,0.6324569265956059,0.6720937482219027,0.7992912730679281,0.6873988200075138,0.8648990897425122,0.9642344108786995,0.7862658442680711,0.7281566461547355,0.6514021109054672,0.6388277059579547,0.7427506480403441,0.656152271505309,0.7037346817625052,0.6240452433089859,0.7946227224382693,0.6317351153790937,0.5559920941911296,0.543821256420685,0.5703393791214006,0.6483933030664908,0.5867071180632607,0.5807191187442551,0.6580064115599246,0.6364298839201133,0.7261381732649385,0.6898404792060426,0.6661158263793222,0.7832807709258313,0.7323183405867455,0.8366521380051415,0.7960875215997941,0.7636649797573937,0.8015061956525815,0.6939160048817388,0.6596002692271903,0.5728376520846975,0.5684624407992716,0.5504532801196635,0.5900642458732742,0.654967575235553,0.6255938664002644,0.7052625154676374,0.5946498934501946,0.5978708175192472,0.5985209570233907,0.6147032414626772,0.5050854629041334,0.4926341448752882,0.5555999510873515,0.842423528188856,0.6536946004656764,0.7117772639060735,0.6961923105948892,0.9021267755265071,0.9468527053856609,0.8451911738702564,0.7813762929845596,0.7585057728122324,0.6514953387632657,0.6689894141122977,0.7528517132110283,0.5834608167481562,0.5955012617567289,0.6222099277839638,0.8374223527522379,0.6249236877983694,0.5906675895142891,0.5931880837619916,0.5521492523581418,0.5569773082003976,0.5880140854835806,0.5881894426975984,0.5963528311774353,0.6931122097914846,0.6613965926886043,0.8603841595331405,1.2266311202301297,0.8884465863817799,0.6470115095198414,0.6276811878533686,0.6160186430575321,0.6612546521606151,0.6956122648954183,0.6665276371858079,0.5761897423194411,0.6043059194529837,0.657164891506168,0.7554099337375556,0.7477498468550013,0.7822706656017052,1.0750491793439738,1.0968558488817743,0.8736750935151567,0.7192465066607487,0.7041518840437493,0.7222420747111399,0.6770206177434297,0.659997906257977,0.691303250366683,0.7291136520503426,0.7365454677417463,0.7074376643214662,0.7477705527321084,0.7408156888461503,0.736489494014997,0.8298650738993849,0.8993700803488963,0.8106415467391025,0.8525399801397899,0.7980281035864886,0.9648010376255478,1.3507288197360718,1.8310614898009474,1.8488950305115046,1.396503861885036,1.100204932330736,1.4494242995452857,1.1009500072325875,1.228200617958974,1.3409032493255704,1.3047470849435596,1.1164818156283471,1.1176804939768645,0.8884705794570317,0.7428060507942186,0.7481836265556411,0.6724076819624963,0.5831582001914467,0.6345560868352015,0.6031028386917556,0.5360947745192143,0.6074782591493293,0.8951814617874397,0.939182777104847,0.9584972599090541,1.1148149999177464,1.3340966382957231,1.4899861470177573,1.4369037168657637,1.0215790405480396,0.7895757762274256,0.6178005815130272,0.6676840689387051,0.9754976735611637,1.4569975293922555,1.1575563377779645,1.0893494282017095,0.927860059665755,0.904927860928733,0.938121801660942,1.1057482757933983,1.1169562769588783,0.9742676061354356,1.1529817218783884,1.4381661528830532,1.3593509832633344,1.253480776108295,1.5296063393643877,1.6955157549101392,1.469100388880174,1.6529187648469028,1.1631241965457468,1.2619324966797212,1.1090444355484765,0.87673866065092,0.9227524892447364,0.83027749117628,0.892063751172954,0.8216868690960122,0.7041959581705656,0.6683729819356438,0.7429211785092819,0.5915447547163593,0.6330049743275804,0.7900579094424445,0.7340089919409111,0.6577117887778069,0.8245560427084565,1.0871119977641504,0.8710471282958482,0.7670476084484404,0.6719719928777353,0.5313059452353153,0.5697031429123084,0.6570960486499421,0.5726999262698382,0.5190232689415777,0.7064074937524416,0.7391597295551108,0.6710581963209262,0.7552653366241375,1.0269104647912954,1.0897991220156054,0.8634054296796815,1.220272610453695,1.3576623545366244,1.3509184134284915,1.2069628209431837,0.8619671106716345,1.466315517664235,1.221507878277268,0.9456046757605173,1.143978292993128,0.7708267578433811,1.2681161903449862,1.7928248845476633,0.9191341033194546,0.5290227531289496,0.9787421598705204,1.0400312026051561,0.7072032612199597,0.9565122720310392,0.7171908986047637,0.762940515033613,0.6929795992759834,0.6513003204049198,0.7172706187455173,0.6780579959602667,0.840529078073818,0.7013459757892214,0.848364086851741,0.7503337394475477,1.3785952225123088,0.797910594792422,1.4238466467207824,1.9570886942956773,2.2338260230347626],[1.1961797519750947,0.6705677702679251,0.9728627144676257,0.3831008712350516,0.5369565361261007,0.7067007729033881,0.5253221231831177,0.5535779864667522,0.5512349814792428,0.41216656076987523,0.41629028809226704,0.49985780305143585,0.4405621365600701,0.3803161882371141,0.4330265406095002,0.4384548406039958,0.468617649212495,0.46638715808325903,0.563172108998318,0.5540794170861366,0.6343155104645514,0.7172694576455415,0.8662276637196942,0.9336913002248342,0.8175239480468622,0.6716457952374351,0.5796846647184289,0.5283275441392751,0.5064074721768846,0.4601050541640036,0.4757836013957678,0.4560998768377627,0.47933905870155147,0.48037971341880487,0.472839881671614,0.49076525539006416,0.48211687308821755,0.4847207661230616,0.505709590972021,0.5810962111027388,0.666276458460392,0.5880293192290805,0.6254976258868923,0.7758224011800436,1.1743776321906862,1.4475709937193735,1.4871791429211472,0.8539178180543978,1.0205603436313835,1.5632143460619057,1.1125329284816545,1.4660250645927206,1.0381897629458827,1.0334186898187963,1.5138571261019182,1.0263841212405918,0.9447739816776343,1.0908833413997399,0.9093044507922295,1.4425139174491408,0.9349932047263093,0.7934961432819715,0.648129337626098,0.7336279165837111,0.7702995291106007,0.6586025906613567,0.719187085064198,0.5171636074959273,0.6850707643988446,0.6510256355998139,0.8587792958618016,1.1486488865231774,0.7413120048721145,0.8136416206494472,0.6176857894867107,0.9217941794773034,0.5473092732085504,0.502110714112903,0.5371295988759998,0.6671333426115381,0.5548618277342591,0.7179805976968786,0.9386678848782912,0.6294290456410547,0.6213431569202738,0.5417822131580132,0.5234970996164471,0.6321818515134674,0.5201176717761846,0.5697794771957527,0.49073519034355323,0.7016039814873127,0.529974684564822,0.4414919426935837,0.43827705646446385,0.48642492019212474,0.5813738567990467,0.49812061873200236,0.49170777547374167,0.5765348235367833,0.5392879818888443,0.6235703529482692,0.5652305308794335,0.5588753055329448,0.6607414620384072,0.6235290091575156,0.765108230849794,0.7066157650588794,0.6657294871547311,0.7438428124643832,0.6081969370890986,0.5390132901768989,0.46807132008503227,0.45542989153453434,0.4367751300343351,0.47996156738974877,0.5467918898359415,0.5335248690790453,0.6200164778198864,0.479709165749415,0.5045532225898602,0.502059295753588,0.5148235523984012,0.39877665696321746,0.38653561397368824,0.45850422877256497,0.7255128260133632,0.5416114465509457,0.6082994313096253,0.6089711309335811,0.8007388214301719,0.8282753767116232,0.7407267708041075,0.6541250643513931,0.6698625181465504,0.6104192836486905,0.6792486278814571,0.6860939599952818,0.5032548593580256,0.5098764548767909,0.5367459052725895,0.7014479224073388,0.5215978590583685,0.49376898303660804,0.4914063257732739,0.46187443905698056,0.4711016617847074,0.4806225414765607,0.4740579675932613,0.49192645022254405,0.5849555851918989,0.5932355556860158,0.7860364850586486,1.2390299006427612,0.8851155432210175,0.5625016866003316,0.5291779098484646,0.5039306048026344,0.5280637162726498,0.5741458995718366,0.5644514218932541,0.4916227312871032,0.5215119880639478,0.5768149908205874,0.6788527153776006,0.6763961525266917,0.7778661932922971,1.1003766875385432,1.1324649779819822,0.9662339758960243,0.7208290291735646,0.6295389837253109,0.6257804179195829,0.5656090241306768,0.5439487197776146,0.5725756250470367,0.60553736210266,0.6371371192350049,0.5906963364806954,0.6284418201328402,0.6188812372810667,0.6155335240347106,0.7276508577444382,0.8060594016152403,0.7296553474467988,0.7472780958732131,0.6817052979112639,0.8750714956979716,1.4214269966959894,1.9708731957722694,2.11589564743639,1.2260108611480274,1.090323792720623,1.4399083503740644,1.0110772923904463,1.0382822985795257,1.0691040311339062,1.1096679450692373,0.9759620865595051,1.0273381696712591,0.7737668754390821,0.6658136115014986,0.6881007107302907,0.6205982335969735,0.5360630465061836,0.626607796067069,0.5452392824336376,0.5396062127170314,0.6349431639691145,0.8700014176692019,0.875920924621,0.9099622217519883,1.087542785766364,1.253591229588941,1.364743328411756,1.311202311042014,0.972710183282752,0.7819566075218487,0.6254534263929462,0.66224621628429,0.8550773751585682,1.3675954101896455,1.106394117486591,1.1419367610740907,0.8508441202461321,0.7741129204252658,0.8077751964472071,0.908266979599962,0.9520260915682358,0.8315199348478117,0.9607861142461452,1.1747283635805745,1.1744336154617132,1.0452091424107355,1.3062504411747806,1.4207469091961844,1.2693196862665572,1.4457970932746536,1.0036269456049158,1.0607539615967572,0.9071487203192368,0.7412696622744671,0.8178034113489272,0.7332685062159414,0.862140143997454,0.760554745569333,0.6500419096507235,0.6806526846964648,0.7250102306270245,0.6038922669630451,0.7136847918482,0.8773173834429673,0.7911178002524446,0.7259418016949217,0.8934545373935592,1.1270859248332263,0.8735921724886372,0.7874503142636824,0.6837255174289013,0.5577330700654487,0.5670840574841369,0.5800119137174627,0.5825763375276464,0.5347473431188823,0.6373383267315758,0.6941476529496518,0.6740540491294817,0.7118010409336488,0.9032869269465931,1.0285328139087815,0.8920503141947099,1.1227364567428917,1.2101971153739308,1.3266534440668343,1.229906640838475,1.042306780521011,1.4821868467614414,1.3888093688275949,0.9674881548952847,0.9378086661159939,0.7209824988701813,1.1179707542221262,1.4489162103714,0.669300450119667,0.9218806039734633,1.4641774007007744,1.1248866186389517,0.7214031091700915,0.8795315793024866,0.6423525512402296,0.7706888921997573,0.6466805930857722,0.6247274238511031,0.7581158808446201,0.6451661506222596,0.8247482425832662,0.6510578565741314,0.8152456341126655,0.733127347821572,1.2448734747373456,0.7651049934101518,1.4800682051514533,1.816584331094258,2.1665882212036824],[1.0668887849333275,0.6227853786841173,0.8255819860302077,0.34932708999387574,0.4848365362045946,0.5967410026333989,0.4393475569946919,0.469565332591467,0.50001994751862,0.37204080173441006,0.389605925851321,0.4665749155779531,0.3851529884324084,0.3584643711468569,0.417418994218999,0.3865881822987191,0.41089978202362304,0.4108150276716436,0.49678528946105827,0.4742064748970142,0.562031831913228,0.663003153333284,0.8190832102546621,0.858913975766324,0.7348114619178964,0.5919955119753794,0.4879857132307818,0.4478287835988915,0.4253413188302862,0.3772194883718189,0.43803616169197795,0.37747281372527125,0.40940864477777383,0.4167890021276714,0.38978616235576746,0.4218454211033073,0.38412059645531965,0.3993842044198791,0.38934871770869006,0.44894294122102,0.5670046937686735,0.5198143103884527,0.5414933945655337,0.644803968436346,1.0724448276173868,1.3661484265750852,1.4353557046065724,0.7552506752356292,0.9678769819710792,1.5303198694561868,1.028408181991707,1.3649355805463028,0.9632873540287881,0.9322850461975675,1.4204307684568351,0.9283750793232812,0.8311101508466333,1.0455385840885423,0.8180320985864649,1.41783397113955,0.8443302033803175,0.6634405129403792,0.5353144333684808,0.6910759626326111,0.6957726096486011,0.5444602867521328,0.6859713591836599,0.49152597583984425,0.6618742043670918,0.6204199175329396,0.8092020818367137,1.1236897306037688,0.7408348855600423,0.8200141461680683,0.575637366080109,0.9455204734281606,0.4843711941634218,0.4476334079145933,0.47047799507744603,0.5781991746466328,0.42714849873966726,0.6197740879230401,0.9206117394111292,0.4914557833108989,0.500963875213282,0.4178011770529549,0.41043593872564427,0.5246295334981511,0.4419996110931282,0.49468795527224535,0.4450851301036037,0.6909559114993845,0.5401110486170642,0.4231905715481691,0.41640863761636965,0.4904633113358614,0.5589079593472386,0.44130949357514193,0.43642986548594986,0.548555054725358,0.44884426704860686,0.5505979358185491,0.46762038582240395,0.47097477146197037,0.5730090499429344,0.5506726853170544,0.717944935780709,0.6314011646624081,0.6127358246254054,0.7336151494759509,0.5600308776227513,0.4557684963997011,0.37900660002254444,0.3677696304257761,0.3703257145920398,0.3995368905352925,0.47809271074516513,0.4572756844784658,0.5741445970235237,0.4452834035381806,0.48067923721002453,0.4636039009535646,0.4710742053952889,0.3329799747740951,0.3339438131036169,0.36432495251003677,0.6266366537010613,0.4690840690450331,0.5327321807080673,0.5205446681088928,0.7250199547151737,0.7588691318090506,0.6453738287267342,0.5573722526603291,0.5568991862970737,0.5129364121435942,0.5984165088341573,0.570212360978967,0.38593045017548483,0.3852331034350224,0.4902228456461684,0.647882758440951,0.46018752876783475,0.39406404936641903,0.37737085689782296,0.3572327745326384,0.36405133614837815,0.373183951746077,0.3675475869653041,0.4117238639340469,0.5277446334377949,0.5394069245490838,0.7520245161503332,1.282854957621431,0.9433427414125192,0.5147683076412357,0.45464133232127674,0.4388295156594063,0.4321860268826165,0.4769126276995441,0.45271191678376754,0.384810601029966,0.4069075395086177,0.44836994630082655,0.5442060629011672,0.5797541087232727,0.6633130264814597,1.0108642606205926,1.0295298861220021,0.8534167071297893,0.597912666151905,0.49644018758592245,0.48834612028670876,0.44301277462660915,0.4184726956578126,0.462979562568326,0.49891593828903325,0.5424756920716146,0.46273644539222575,0.5088699911112767,0.5165893296104589,0.5083618557686072,0.622747866516597,0.6962833591043593,0.6085751805498263,0.6194030019375985,0.548602747942437,0.7633733722664019,1.346445765488309,2.040289754904215,2.1760657547189077,1.2154528946722905,1.05057659380991,1.386364244600968,0.9318757227231698,0.9919925284236593,1.0217948996380841,1.0593843165236883,0.944497395389039,0.9808647221552599,0.7575601948820917,0.657777635034251,0.6817546060121766,0.6564399761099565,0.5962686933701253,0.7042048077014111,0.6204556718879861,0.6332470313051954,0.769136137075778,0.9717883296974961,0.9641775381078819,1.0473636107647486,1.2497323701443184,1.340508136652533,1.471618477433114,1.353059835472015,1.0612263925151246,0.827635865797213,0.7052394945252729,0.7419881058533234,0.9269272535069457,1.3574490631034333,1.1332826106154665,1.180977451768994,0.8769045039475349,0.7973686981003966,0.8234693953427893,0.9003276050209592,0.9738162280347401,0.8414180311911015,0.9723070304462889,1.1853142475476093,1.209020071079016,1.0629808340552034,1.287042234590895,1.4755933143417361,1.3154083681792752,1.4287289798972471,1.0053458366131993,1.0070351502049515,0.8650872318163804,0.7328326068345012,0.7974154049888302,0.7549014193635637,0.8468470834907835,0.752232531783898,0.6954745849003205,0.7449023149110771,0.7599309819041111,0.6941281012691997,0.8640983099350629,1.0466857473683917,0.9536763560692116,0.9007221552532692,1.0965320742620794,1.3164505683382561,1.0415053445885536,0.9684124025191437,0.82887221594683,0.6816113358996966,0.6603555074868508,0.6340914587406529,0.6748436329917443,0.6322736963872388,0.6733161326503239,0.7438178509395882,0.7421770938480955,0.7575168535364285,0.9430549254095891,1.1082041376356984,0.9552203144730457,1.169737706932277,1.2843525849083524,1.4121442628153065,1.3202119104518695,1.1529883899659974,1.5585205391067936,1.394846270488127,1.0212985687141523,0.8983522674999106,0.7630316997002643,1.1062959661553695,1.1714811826460223,0.7852285140530865,1.2060325713612086,1.6331112819796008,1.1734511765973792,0.7670154537485728,0.8534919218070643,0.61071088455559,0.8118939114205045,0.6338735990778911,0.6726704403525422,0.8747698269938212,0.6664847629187916,0.918436266234157,0.7617092465234866,0.8540048259872067,0.8017657499314315,1.3034569305826393,0.8260992448638446,1.4319445167253624,1.7888750353705127,2.0863460480337297],[0.924054182624475,0.5500930223481404,0.7668662740178859,0.3819059727880516,0.44172899449286024,0.6103896239696228,0.4600523570458804,0.4851958094734739,0.5264326009759364,0.3821835047353939,0.4009956437426906,0.483629932427622,0.3936498960201513,0.3654730401231079,0.42219746863412616,0.3851802333755977,0.40102157285123163,0.38523427952720307,0.4533310665359429,0.43469742313724546,0.49322816983281287,0.6011341430173727,0.7240604899294442,0.7665307128190172,0.6657198032356707,0.5301664797397864,0.4407690224578408,0.42067957598972605,0.40829951174298557,0.36015344722515824,0.43651154179242346,0.3847348540308038,0.41755770019007366,0.40784327523946395,0.38898325902347114,0.3999394836353473,0.37670693413989714,0.388273933839219,0.3711650278400117,0.4028367931606892,0.5303439172183235,0.4798876783318827,0.49757543984060665,0.5861268195823993,1.0151888859343212,1.3119144188667768,1.3111599891245564,0.6842141151643535,0.958364934278349,1.4938299335124228,0.9391939891456963,1.294351994045802,0.9073128221857089,0.856464700733453,1.378425321513657,0.8710927809206412,0.7998119791578564,1.004792132405854,0.7975498208348138,1.3805127154800132,0.8301943642264805,0.638694051020403,0.5083582451314852,0.6374843153488072,0.6363322433036044,0.5100083894655278,0.6440132933636017,0.45923955935372013,0.6287776252361391,0.5949068887620838,0.7976561078108871,1.08448649030647,0.7118079801214566,0.7855476941409395,0.554377159827904,0.9360336844994978,0.45516817481663047,0.4221612960127318,0.44463297231798155,0.5517158749295438,0.4048697594675881,0.5758646305154156,0.9699626481428687,0.45704908374858544,0.46645085470965475,0.4106167275176325,0.3905984682679233,0.5003326754985439,0.4215222251068653,0.4884008171202405,0.42161055989552254,0.69554215851036,0.5257905633108535,0.41642485957200615,0.4157494623257049,0.4864640674585154,0.5559834705004738,0.4613607467392772,0.46281363382734186,0.5596517506212776,0.45791486623790634,0.5437616248059827,0.45244220493771475,0.4448602161827023,0.5437291896635766,0.5298329122102555,0.6814889398776532,0.5544758772166597,0.5413711765532472,0.7419358540667692,0.5271210274305852,0.4333733067851432,0.37502143178451663,0.36559011459082325,0.36139544293275366,0.37939452010153696,0.4587586399569968,0.42437529277031905,0.5310249622564346,0.4216080187201297,0.44067178466607093,0.4287676436486067,0.44081594270525937,0.32395580254399714,0.34030355310276583,0.3605345023692586,0.5527833028281346,0.4481651359031107,0.459939403438219,0.47331488733317056,0.6354984332072434,0.661000514576828,0.5752993192166332,0.5038471585255108,0.5189173911035914,0.5174069778645523,0.6420562912120543,0.5331345318980868,0.38158913521892773,0.3724589240849746,0.5094106693615753,0.6190542685169026,0.44547916408375127,0.3780528679944924,0.3577475596064856,0.3504743300119267,0.356593792723227,0.37269007181457753,0.36393136756333194,0.4212633604734529,0.5169117514618105,0.5490140817937645,0.745680083674321,1.297038282549104,0.9660822343687916,0.5222429922868024,0.46137394660432135,0.43229544553660265,0.4273611573180548,0.4611167965268047,0.44026863998555743,0.3774471918634581,0.38674944824151286,0.42648867826731035,0.5165421257175354,0.5661531459156396,0.654195642913134,0.9796643973388119,1.0110014869705004,0.8924449714300735,0.6091718666327937,0.47948987221435135,0.4653297931902237,0.42535892664470193,0.3924411697261782,0.45106138256813494,0.4757716559284313,0.5251184136229371,0.43744250820176384,0.4630913800066808,0.4939103451775861,0.47139837537968865,0.5563939651730707,0.6141828073856452,0.5589171882573315,0.5539798260293983,0.5010782885762171,0.6968492827713797,1.3791778742321938,2.0465023252976233,2.2930261124764537,1.0611581379574264,0.9959593623063973,1.3386529898795596,0.8553070113475143,0.8199618930316663,0.8141678482372059,0.8819046607927972,0.7989615516286969,0.8870746843060712,0.6285062852754991,0.5485295741625169,0.5775994234011386,0.540541678284062,0.47789153458630274,0.5960479001920764,0.5144000152325973,0.5180544244901061,0.66827206487009,0.8475045825574052,0.8218767354760601,0.8924891475635489,1.098214634761073,1.1723095160178565,1.2548603038201607,1.1713371308113332,0.9497136348266728,0.7590608977546005,0.6156170601406459,0.6464891574291166,0.7804583253535008,1.3773558044065992,1.0421237156172125,1.153784094169198,0.764256515377631,0.6612098699252024,0.6810349418437988,0.7173177791428402,0.806146726032962,0.6814219988796751,0.7975820336718609,0.9633787934901709,1.0227444996807336,0.857309037890836,1.1163321080164759,1.2279243959096569,1.1339895176021406,1.2687609653638185,0.8356196775590745,0.8459128596232929,0.7055909616898594,0.632474411417353,0.752013552939324,0.6998413026590691,0.8459222208562129,0.7020635042694144,0.625580790848371,0.7266079614307871,0.7239390241500593,0.6302680966749213,0.8234929260542996,1.0107763847651128,0.8876825337258407,0.8264795958391714,1.0198614930246044,1.2153380750621612,0.9234995029426941,0.8623451769117105,0.7200162421163044,0.5941986888194786,0.5688409851423608,0.513637796566741,0.5725963479527125,0.5199719449159809,0.5601074689704245,0.6179148639498399,0.6412132773154506,0.6439099873990347,0.791748208356846,0.971049329658997,0.8813024986408998,1.031132326959722,1.1181610524792085,1.3072395514040205,1.243257491339476,1.1297239443169902,1.4724183691006902,1.4438166594074147,0.991322790585711,0.8375413440397977,0.6841159802435711,0.8958578389028506,0.9832163251551984,0.7618375925347008,1.2252900510812066,1.6712934085290057,1.117640009584745,0.704394843107385,0.7379364281682432,0.5140270819285216,0.7286628075371758,0.5555955135570997,0.5784845793784695,0.8981158144481053,0.601719181417255,0.8379320771958749,0.6735741042505307,0.809924896036959,0.7885417658757773,1.170219832885695,0.8666425973416888,1.6253745352570734,1.7780028694408374,2.242636037613603],[0.9348871491122918,0.5706464442396245,0.9144864457742642,0.4867155951905522,0.4448034801283934,0.5953045259852605,0.4459202024195365,0.4450729156490277,0.4993565962630531,0.3705279955488508,0.3834843850697763,0.44014122245181775,0.37977772461428005,0.3557795571233288,0.4179697483827723,0.3827477902969292,0.4145566755348209,0.42092877169586024,0.5073518013079424,0.46781151820029643,0.5464598653405891,0.6375264753765003,0.792007970159646,0.8257057201303016,0.7152425782015034,0.5707025390166516,0.503994775611162,0.41903618747662746,0.3961035768580656,0.3572968239548746,0.42091031195935497,0.3590627754372723,0.3965163051206919,0.4166275810664407,0.3772605120635409,0.41881733007063543,0.35510166904453094,0.39699759128652956,0.39588786389602487,0.47041126831293617,0.6178364355698299,0.5310839715053193,0.5589980787954464,0.6775821799630651,1.1057467708516697,1.3806557569143136,1.4297201623680797,0.7884301029783628,1.0106907120869866,1.5469156789256593,1.0303892589053305,1.2997544885657435,1.0339233724177925,0.8746410607468795,1.3706587594652881,0.9807424008684923,0.872681835801163,1.0412297432839712,0.8271816252969698,1.4996017427499124,0.8561953065415078,0.669589889214543,0.5394303926567853,0.6888724486802765,0.6886969743919288,0.554944545651702,0.6763826730012621,0.4779532948412871,0.6648103052702893,0.6430981391268694,0.8460501127828208,1.1768001076413714,0.7400770155589154,0.818714057813164,0.5757249971536605,0.9107799963417199,0.484459893877882,0.4576606601037218,0.4704391775931812,0.5741998255191125,0.4383133385734212,0.6151742766736306,0.8983928134469951,0.5023118377834207,0.5431934292785707,0.40291782501354,0.39255131044555763,0.5320073106417933,0.4390344518916912,0.4883742867658942,0.45182691361774524,0.6927141048478795,0.5477164690087166,0.4200374801832733,0.4145304261244143,0.5037093061359653,0.60700660925307,0.44018249341689336,0.4120275885632554,0.48499119343312636,0.40724900375056305,0.48853947116340396,0.4328315159724668,0.38613063489961547,0.4975635826478703,0.45878553382619597,0.5764096782098378,0.5650973422292916,0.48858675136910495,0.6416660599526766,0.42917378148632285,0.37016532238563615,0.32130304257961734,0.32018345634955747,0.35351655939342813,0.39081311785801615,0.45976105606172096,0.4539541625209087,0.5775075831285603,0.44859247354567205,0.4892043364677715,0.4705570887395872,0.4792252276605926,0.3245369751602748,0.32412681406005317,0.30712803746275985,0.49442850777450675,0.43238652454059184,0.43890879432238256,0.47067561539795827,0.6190889827661732,0.6200432042641976,0.6013784728058836,0.5142242237480268,0.5551286347619131,0.5435093781116719,0.6835712597917986,0.5585421441489501,0.37855176079214015,0.38832102379784667,0.48986183576751924,0.6420716520763913,0.4407285401848654,0.3795452886895902,0.3817528720488563,0.36436746364144457,0.3669336974899438,0.35791623361638547,0.31005664563614654,0.36496827562611106,0.44261587276269737,0.4874174153340403,0.6844462870042288,1.1878571141658685,0.9118147595285968,0.45649908587092675,0.4004527777199091,0.34709748037725563,0.37832566796389067,0.4003784563812469,0.43476913790403543,0.369216242315975,0.4043116418702467,0.46617172169314763,0.561401261856916,0.5947328004125136,0.7527655302900388,1.0801778640709658,1.0682211124980219,0.9352926515836595,0.6686209551986094,0.5087792540034999,0.4837419597996609,0.4380489544258088,0.4031103116987455,0.41631885022949366,0.46203705880043683,0.47183905974389445,0.45760799693897125,0.46449646315381754,0.48532665908424377,0.46125446465102216,0.5779887581000445,0.6874104695041793,0.635736055685805,0.6347796827068543,0.5669100862490561,0.8021254079784464,1.32118441090864,2.213006770729887,2.4218886366269308,1.2689868894933487,1.17380293913588,1.4822810874827936,0.9551340907262769,0.8965310864251061,0.8912796956823025,0.9027440869483302,0.7698881857313739,0.8559648912763443,0.6293870985095523,0.5513019044796753,0.560819107712992,0.5077680995426807,0.48200255665809755,0.6022555497738775,0.5796619763060379,0.5603392027423301,0.6483330886093017,0.8592651449010771,0.8651021762462197,0.8907515817732592,1.04913454488399,1.1815700407659664,1.2809010073040372,1.2547040878297036,0.9581222333700945,0.7881883400229,0.642184887382616,0.6699556633094835,0.8000084853560757,1.39796768267785,1.09508157148407,1.0979626770669764,0.7598458122553174,0.6670270062654249,0.6886988369939986,0.7671766455868627,0.7955629006296968,0.695457876008305,0.7906739066856864,1.0070467575312516,1.0030073064056448,0.8482209067953624,1.1575117296532853,1.2155827880888195,1.0772431149781814,1.266163398380735,0.7982153725035375,0.8857282091401857,0.7438899362015373,0.6608732954136919,0.7540677077223544,0.679449827126067,0.8497278019673571,0.6819463804232906,0.6086931588422239,0.6832245979917062,0.6848951432458426,0.5964059183524257,0.7442469720162592,0.9187483394659968,0.8179315856374226,0.750228541649942,0.9187447313447074,1.120423779153319,0.8694495105429599,0.8026989253329667,0.6891014748334152,0.5661825130628111,0.5655108747583352,0.5531410756101618,0.566646910897273,0.5300560360329772,0.5709143976370024,0.6223848141472682,0.6354473543227726,0.6235503131352712,0.7785112389447649,0.9477667116303121,0.8247302704461393,0.957244118163251,1.073285732901684,1.215493396354744,1.1178809755675911,0.9569119812277099,1.410471840054335,1.3783554971214282,0.9421376964088771,0.9241760782942926,0.7535017749383828,1.0354657846092263,1.2837358764553708,0.698747401030704,0.8432609741625342,1.2385115018400479,0.9738568728421498,0.5775953530709852,0.6684251411469707,0.5000047407886774,0.7930871600966852,0.5142308793511929,0.5519362723496747,0.8252923178966902,0.560508120798933,0.8420168809753746,0.6032530885579446,0.7879438543921051,0.7998085019669036,1.1221947067179936,0.9079273758109395,1.8175605583021666,1.9476002594028838,2.647009794732127],[0.8803768444636222,0.6115766940866016,0.8329752156500951,0.5986465100589393,0.4534834981648879,0.5449438428276403,0.4470666098769188,0.44318437582566966,0.49274582580233856,0.3837878107381434,0.3845481129774571,0.4785817117107434,0.4062763635523285,0.3631103621284695,0.43983244117873077,0.40711427338163814,0.42697642564551364,0.40927091953310035,0.50288565727431,0.49755181732830267,0.5777292212231607,0.7049305526600833,0.8387835588108284,0.8452965570030606,0.7457560848427691,0.6014098497258618,0.5719347040691688,0.43237229923016507,0.3955042635401147,0.38695538741252067,0.4217725101322587,0.38669160732815916,0.420833056001286,0.42390541234714313,0.3928120894096656,0.4309695765278329,0.38763593347833386,0.5038129071919588,0.5001972611646817,0.5755044076364921,0.7247874021838258,0.6413328224212396,0.6620827581417105,0.72531432885174,1.1307103817864184,1.388987467798285,1.4751453596548254,0.8689290547569775,1.079178044696626,1.575432718040064,1.0639496045566141,1.2716073456467252,1.1614408642217677,0.9017600712795768,1.3348435539905816,1.015493621886245,0.8687018942172453,1.11988461336571,0.8761361005283457,1.5721059382117017,0.9033026140305813,0.6939267745349621,0.5795884798470192,0.7840341610292988,0.7580371188983202,0.5992908621531619,0.7266306714876658,0.5187011210567857,0.6683592346753584,0.6274678411449037,0.7778295330405253,1.1506864009922944,0.7450304176240705,0.8615350334601419,0.5743920976670253,0.9745851392282432,0.5272871324159333,0.48840116547483253,0.48154320017202534,0.5954074724814425,0.48705717790121206,0.6932016199341399,0.9332673356338175,0.5648269966403194,0.6365389194864608,0.46649146863228874,0.4723723074770059,0.5604689361997969,0.46572829058295667,0.483269442032616,0.4786373984347358,0.7125456452316472,0.5732177085989669,0.4556454194661282,0.44921869865284686,0.5546352851191991,0.6155725808833082,0.4737090494535118,0.4530395991622483,0.5473145328877617,0.4425269490939608,0.5177287619501233,0.47123766966540676,0.45513372533809904,0.5295310383670009,0.49846760719178773,0.6007385273797639,0.5818255125258689,0.5139089707993535,0.7111041306274576,0.48858179639409943,0.4251245882079949,0.38241597604619004,0.3934624615377164,0.4061388933576988,0.4112946465483904,0.4411713670171288,0.45767957093219774,0.598326977512238,0.4557906030775662,0.5139167102100584,0.47347105830038344,0.48573786926730966,0.37306018071996006,0.4033336486183876,0.40076526414873614,0.4875127003762114,0.47071158535350016,0.47660482942922516,0.5217830314457776,0.601593178007776,0.5992062161323306,0.595530490568665,0.5417489709487032,0.5716142423571752,0.5918133840198418,0.7239175033474355,0.5757672623110852,0.4725484810774237,0.48376658610883677,0.6301306705630112,0.7408924564959575,0.5171279356403192,0.4505179365261256,0.4618888531927187,0.44917020258429263,0.43781518602239,0.426520900413323,0.3789842962351628,0.42216617567270925,0.49349356420773,0.5289796782890519,0.6615563323248494,1.3468500300074753,1.0667019782585698,0.519180695374782,0.441658010274365,0.4091635632039983,0.40686612285738094,0.4459869638220271,0.49062934807371894,0.4462715471160779,0.4728125169881371,0.5333125994026203,0.5912842612858402,0.6785955784180278,0.8127456364539396,1.1289956122488545,1.0565095096555075,0.9324999201446775,0.6956366559715772,0.5422616953762293,0.5130895978950903,0.4924425523914819,0.46434714535968763,0.4632093538071179,0.487827475158432,0.520289737371529,0.5126200969608053,0.49941622645587186,0.5532650393536861,0.49933330471943915,0.5901211179989801,0.697623750493644,0.6677643255232814,0.6627369797319201,0.6209131691292489,0.8898497724588156,1.3316706702985988,2.4177263120243224,2.5752107212911133,1.417420400572813,1.2585155845960134,1.5175564267957904,0.9588624292088377,0.8750174734019407,0.8681366934324434,0.8740653408317699,0.752490946755275,0.8390708506795634,0.6277485541571648,0.5970127343431239,0.604954986803708,0.5369417468307861,0.5325291472378307,0.7005937100246595,0.6244499502170267,0.6068746501056255,0.7716634745730244,0.9602670427281101,0.9388520181472072,1.0018866698109337,1.1959314536326857,1.2668361533319157,1.3704498831946466,1.28829901927862,1.0181014121414107,0.8013900177334424,0.667280874366792,0.708391647150893,0.829827216073336,1.4007599095051158,1.086135677573005,1.098789810386677,0.7526732222430121,0.6680714786434672,0.7085147150678333,0.7571863313929212,0.7957326106646448,0.6903412195243219,0.7842217875837569,1.009825601092892,1.01098683058352,0.8398213387882827,1.152478481798932,1.2533002882872124,1.099227781477671,1.265820977873844,0.7858661536480809,0.8680999091832983,0.7337127944342237,0.6880952573587441,0.7940216106265108,0.7381817167801054,0.9298271949734127,0.7489627412710371,0.6919675126899815,0.8296223334855956,0.8052628425877072,0.7313605342041802,0.928870193640492,1.1245392181524967,0.9976995989394589,0.9211384471903662,1.1292413151639284,1.3294415349505697,1.022088850702296,0.955281897120651,0.8102008934749133,0.6644179156360842,0.6497887114997353,0.571647354682731,0.6228844086633195,0.5859946828939864,0.5727942364977855,0.6251611000997684,0.651792548528499,0.6224817223480722,0.7723696684338606,0.9607935635270268,0.8249697346940779,0.9670709581815217,1.1007949594696016,1.2632952772144472,1.1565960089338498,0.9927405968789136,1.4591149325401056,1.3644105378395766,0.9710793725195415,0.8922188836011015,0.7593911863709807,1.0351473473628117,1.1483390344067808,0.6979011267792391,0.9266272561572744,1.3061871072699436,0.9871721981295193,0.6131512546682546,0.662431032249696,0.5534015673126442,0.8866761570284307,0.6087662866903641,0.6784221265695919,1.0217068614757092,0.690248423812133,0.9678976721872923,0.7527232857885245,0.9289154433122973,0.9194369459822003,1.1652658094488808,1.038112243478198,1.8681231543880241,1.987475002585144,2.723815493789643],[0.891260926078524,0.598383332151153,0.8661612078085789,0.5297717849779546,0.4839829996974619,0.583499766008392,0.5001502176258676,0.4892014636717093,0.5506254648266001,0.4627143531106788,0.4479715463936565,0.5300689961252255,0.49018611843010584,0.4585170653953427,0.5436995362016854,0.5168558059861728,0.54214537943889,0.5273981615553224,0.6048359958158548,0.5938043018554661,0.6956565344358467,0.8022697240952896,0.9480766779784016,0.9615640963008012,0.8474068893398711,0.7043888204480055,0.6781966807266859,0.5315072800672525,0.5057483242756813,0.5058128601026372,0.5311827673324836,0.49353002176573246,0.5292747912426422,0.5275983242847945,0.5117347917002087,0.5494887592644434,0.5036212823054522,0.6032525785235242,0.6187698716422844,0.7041043953159057,0.8146420487362217,0.753180039785448,0.7851887694540752,0.8251169750269103,1.1960195604501833,1.4287311082482264,1.5681717489195275,0.9735741980847846,1.1233411282941883,1.614788668393996,1.1646914435314084,1.338977052983687,1.2804979008543769,1.0007678744239488,1.3537385421831474,1.1153064264910941,0.9258818411582386,1.244301770674879,0.960987595706961,1.6095756722204624,0.9699318759485394,0.7994873589064287,0.6893995817617473,0.8842389074988638,0.8737068750247506,0.7018067644528673,0.816044257056569,0.6098677417769318,0.7491653679895036,0.6980071284327624,0.8159672361189141,1.2229985784369632,0.80612326324398,0.9336158685464355,0.6784644164966734,1.040086698096796,0.623970570763781,0.595422833360365,0.5886328615889534,0.6828896915987487,0.5999522068949958,0.8208513280488675,0.914694429720744,0.6935683791727616,0.7223116787892897,0.5653325355693626,0.5976190999785472,0.6661040228337078,0.561058134365293,0.5709318824268595,0.585283732992878,0.803111882807015,0.6695543934154781,0.5615654006207981,0.5472172877007287,0.6439346264164012,0.6932104584577073,0.5652003244136938,0.523979794108379,0.5811407232515106,0.5208042435362267,0.5489679899803118,0.549768122008388,0.49638468157078186,0.5671159741006819,0.513879207634741,0.5994407192601349,0.5951339628978253,0.49886772037441945,0.6945275018342555,0.46285833731238024,0.46190050160978435,0.43044031033371877,0.4413427281988336,0.4957072451819358,0.5122394986244115,0.5335518241683229,0.5541798305929453,0.6773712503261184,0.5594064665188244,0.6225615970883531,0.5882931616719828,0.5955547321902299,0.472703143559479,0.4716523331195799,0.4492797784362988,0.5299733485421928,0.4801448191070962,0.44200213119374127,0.5090853529107348,0.5725942218317405,0.5840898470508841,0.6348961783931985,0.5681143739395561,0.5907560959672369,0.5843954619361545,0.6754818670279942,0.5725904823503623,0.5328787436120529,0.5639375354201879,0.7057603328152807,0.8435858515151854,0.6247640877163168,0.5684873537202647,0.5772327062153727,0.5506283992608578,0.5312975068556842,0.5113358044525087,0.4520405038151868,0.4758586942972268,0.5391801334842639,0.5630682179850925,0.6786488013920802,1.333139977226952,1.097103401469786,0.5566485408808974,0.5046975234705038,0.45110489892482636,0.47687300340553074,0.5049678285085256,0.5538910378872594,0.5350184102253974,0.5625320074408663,0.6288928259141339,0.6596600641149568,0.7615857482521359,0.8876360254896553,1.1992183128184242,1.0661177553693648,0.923821749271142,0.7274271019760652,0.5869514611103207,0.5720509216209274,0.5629243931411034,0.5527189239364546,0.5381169732761795,0.5677735363289749,0.5989800095878546,0.6182443390047565,0.582721927822983,0.6701946528748908,0.5470458991259712,0.6390536044102523,0.7532422484810323,0.7159412775290321,0.7487053680641964,0.7286765467144846,1.035702152129083,1.4093188150120688,2.5383865568682675,2.5965725768976897,1.6111254122435132,1.4012083941290885,1.619920729376538,1.034304507841262,0.9299549763795772,0.9378911452802545,0.9406418764836564,0.7907588694310956,0.8238113483728149,0.6190206337455637,0.5029700936217048,0.5041340299980113,0.468861144274467,0.435146535081435,0.569376108342685,0.5440681020289709,0.5278690889758364,0.635238318267735,0.8611036370201843,0.8649838342234215,0.9128820716156845,1.100544109760748,1.2136879980160442,1.3395913181604024,1.2702507777512502,0.9683775446755587,0.7810903703873187,0.6265252679709723,0.6504566979984454,0.8352024837663158,1.3910555587429208,1.1238782946168335,1.093334502982428,0.7732018276433913,0.6842486686227971,0.6748237685694088,0.8296305727133314,0.8604639234030081,0.730667931660487,0.8306127235710639,1.1367256979692424,1.09358476313371,0.9203969765800075,1.2661185598182607,1.375413112265253,1.186428004349755,1.3805525343142073,0.8428201012574822,0.9144833166861267,0.7833436146658729,0.64647982213346,0.740750798441511,0.6550367511042068,0.8345071084223834,0.6525689568169839,0.5637098838591428,0.6732456653383874,0.6721738119293152,0.5692404881983426,0.7546478448976398,0.9601832882674632,0.8436537166848963,0.7633039568291574,0.9756659072087082,1.205572322406046,0.8994223064460729,0.8202416075852634,0.6793860504550598,0.5273320343074036,0.5226556051178705,0.5273209885198155,0.5352284652017103,0.4947711294142182,0.5459072574698071,0.6261962737448596,0.6263930839467139,0.6240626648778685,0.8470422888856017,1.008983923745636,0.8500988048633156,1.0329196458212735,1.1950898940833,1.3104867929737547,1.188315087723957,0.9861433377454395,1.5185848070557992,1.3582390666390065,0.9767023516531783,0.902147192230811,0.7220127850029994,1.0103811081163931,1.2262949245712256,0.6605303649227947,0.8110069620016782,1.1665454541687057,0.9627605984877373,0.5136980297349182,0.6177518773606969,0.4542695084592725,0.7781182020024073,0.5070285508748055,0.5502441990265391,0.949871884130401,0.6007447970869537,0.8670307970532095,0.6669460046686311,0.8580705624771677,0.8546344115354634,1.118005350435099,1.0217859610308941,1.886759638472142,2.0146117067603795,2.8115898646031616],[0.9927249553551343,0.8118976369352122,1.0032888703318443,0.9656195955904965,0.9240771174251425,1.1189704678605727,1.2876227990470992,1.3527308275397532,1.41986947708856,1.4914007549278567,1.484607082440994,1.506368524131522,1.557379089770967,1.5375931124790607,1.5715755327500893,1.5990808713595845,1.6478773642383195,1.608217013969252,1.562665831603569,1.6079392825910839,1.5496392047783174,1.5506029708278397,1.564092438163734,1.5109944903949106,1.5364540185395243,1.5248823459127976,1.614089465373132,1.6199617423557704,1.6380738411844655,1.6448857104661643,1.5793480198383827,1.622497899313499,1.6107012057796115,1.618533818322273,1.6436214959094815,1.649073743174869,1.638254725090306,1.669928389612279,1.6680868542289884,1.668324062923139,1.7137499453542393,1.6315276847154931,1.6258574356713602,1.6461469534876387,1.8185129554435178,1.8966278236570866,1.9650157303485938,1.6560094991160825,1.6407662834030066,1.8637053385701607,1.651401450486684,1.793188407766882,1.965743478896652,1.7293571064266322,1.9604081720028896,1.893569180633501,1.76464484501025,2.0391553802934204,1.82276602765398,2.2132551892564583,1.7354176777904389,1.6636577904047736,1.6107326920045832,1.6280833162238884,1.6371254928009114,1.618515651584111,1.627574430840152,1.5971606006684538,1.5897627634585594,1.5487452462310487,1.55565284100115,1.693425225585917,1.5653162636278,1.648456668760748,1.6143313921760922,1.8507801745557928,1.611474649429621,1.6172514387528687,1.6024673207392743,1.6379067347453016,1.7017424950483073,1.7780393133552186,1.8825662442682956,1.6402040012879868,1.6764413146283705,1.608456098889188,1.6558305610700068,1.7376175417848623,1.6427372363919441,1.6377287391877147,1.62427146719301,1.585186121922534,1.5703425549658312,1.5547488964291318,1.5607910364217277,1.5509946734476183,1.5724184031848627,1.5971442608413406,1.5773463427989463,1.5494123852331168,1.6003165604093925,1.5126618306201842,1.6138336580475738,1.5429898264111612,1.490871829572519,1.455456724977398,1.3996091039766825,1.3007051516601855,1.218995119789699,1.447939503200142,1.3123811203050209,1.4094041270329045,1.4344381484630229,1.5023147031292976,1.6106461792082776,1.6104021829087212,1.634822641069199,1.5902225715230562,1.5915026259340912,1.6142614553986636,1.6336192238476919,1.6365995678402183,1.6520316456520951,1.6006424901830243,1.483807560455282,1.4051016069600546,1.2783248748056988,1.2980586753868473,1.216630774595244,1.3059207382146298,1.1319718725267582,1.150422153626852,1.1715173799747,1.3053248118152672,1.2495975889056317,1.3291166963660457,1.209587221810887,1.2806708577268153,1.3469514306394998,1.477366312420715,1.5006878516361541,1.5368865294757184,1.5505559746797755,1.542480190199315,1.5883595288462447,1.6472982117081554,1.6270793633867244,1.6296847601232085,1.5481124948813763,1.5056188767014116,1.4593860643267562,1.450151796574716,1.4783560882128328,1.8963100421422288,1.7551818239731256,1.515259031856904,1.5329393449030604,1.511553115432392,1.5661309558009022,1.5255745299836367,1.5262975816283162,1.6312745652145544,1.5319986563362866,1.5696318237526354,1.4208558151328976,1.357287732518653,1.3604996797237077,1.4561169088797257,1.3209590881122666,1.3170749126537518,1.2494356732018885,1.3326674941949994,1.4059954876736893,1.4853212329236194,1.5556042123653038,1.5635100111393816,1.6295300100959096,1.6238251632372824,1.606564687108779,1.5622640220473831,1.5361591393571796,1.461118410676523,1.4203299523439654,1.3910177198476386,1.4154829763166412,1.4821922130360758,1.5245984931783907,1.6146257629730538,1.8250253663242593,2.8536606242914244,2.9328318523047225,1.8272813876021936,1.622630636187367,1.8970460171237464,1.3690687463380242,1.1565431076161232,1.1011996148113647,1.1175811836301648,0.9869054575879103,1.151628072149607,0.9474994206755848,1.0744195377182342,1.0741980479139934,0.8327538949024442,0.8718726152795409,1.0774499506951976,0.8467022393559666,0.8107963004171143,1.0602708458577863,1.1849553655834204,1.0889050822028599,1.154000007128701,1.390525255462908,1.3888337127279362,1.4218093775254235,1.329522395634953,1.097340377840514,0.83841522851506,0.7408709455690807,0.8004555785816814,0.8657774807144334,1.4388296303371535,1.184178566574317,1.1374890678120069,0.8816859408341449,0.8933281377493993,1.0198781104770267,1.0181653420230121,0.9430157471475048,0.9034470965389011,0.9820471098768615,1.118200349828149,1.0764863006890448,0.9665804587360026,1.287423114142262,1.2534501030977465,1.1289032062531639,1.3818263876660104,0.9307557976739529,1.1633507691142997,1.0814177457102192,1.0929363828909204,1.3010150404210148,1.2093284232742165,1.4784511876340698,1.2664112861502297,1.1562363637550082,1.370135464804299,1.3650381665758526,1.1961956479788618,1.3776241559496862,1.5736617582167671,1.3645538773518742,1.2471521035209006,1.4556819709786324,1.603430477375448,1.249230010982149,1.1929376885417293,1.0311507523227905,0.9411030816007951,1.0027865042487636,0.8613788200043774,0.8106551677463322,0.8013960511104934,0.8019606485586759,0.7267688911342749,0.7372812663210796,0.7387536914718876,0.8158407421517335,0.9423746241679188,0.8405942990044585,0.9757245039705639,1.0924371014094003,1.2603563913225326,1.1476631746908759,0.984209378557484,1.4602825334574752,1.4163882047917176,1.0139708210062253,0.9414685650689353,0.834949636106333,1.1221028410840113,1.1975438300703984,0.7525178642583874,0.8740644218707452,1.22798169527167,1.018219439369355,0.8655899901588175,0.9909944042257783,1.0767284557744543,1.3042115834611736,1.2337524747189368,1.227284632149253,1.5610381064018968,1.2946311483086432,1.3564771209129471,1.241004644467418,1.4413745717664035,1.3523364687838249,1.4040113338252684,1.401486315725201,2.2117935049344277,2.427688964216004,3.3337015789226565],[0.8244122650556314,0.6079787654163605,0.8758122381508832,0.7104648908027561,0.5374267166215618,0.5899118544010701,0.5199811825592986,0.4917587672090556,0.531639826827109,0.414167089238549,0.4074324701807392,0.4874492159600275,0.42506321192222146,0.39047445077877196,0.4710955565776207,0.4281930164023969,0.434345039214955,0.4201300982190485,0.5001291151610093,0.48824238215912147,0.5524376009165967,0.6655519849781092,0.7939888485260904,0.8003700506018064,0.7077511713361336,0.5744574673386318,0.5442118771759992,0.4249337312822753,0.3953569541116138,0.39866986957632194,0.45120428271396784,0.4012393472248032,0.43389664308022335,0.434204756714745,0.40174830649922705,0.42999051612834127,0.3918180992432098,0.48940212770888036,0.48968902584942053,0.5711217456616495,0.7069756671427541,0.6102637899671792,0.6281619245931555,0.7059182303374674,1.0908106622481757,1.348449209685672,1.4040453168938594,0.8435431979481124,1.067406340429041,1.5231844387278584,1.0176542290272539,1.2643243007725398,1.1522946507427696,0.9265575288973681,1.336551510882535,0.9949858566265164,0.8437192667243189,1.1070398899400011,0.8382757325493232,1.5379179402686245,0.880992198718215,0.6702990342101793,0.5539801768205783,0.7528002228145472,0.7294064101135772,0.5673937427211144,0.7089260632471756,0.5070696547124165,0.6620046068678264,0.6539988274136411,0.8263003894628326,1.185757521492437,0.7632121605461453,0.842057379131796,0.5793692852413735,0.9496823173243815,0.5151963628357644,0.4898801849923901,0.4873805786367886,0.5717876327428002,0.4778327964005654,0.7122747201418888,0.944546496436791,0.5695275882106512,0.6446176446470848,0.4637219037446934,0.4693944133101208,0.5617916609401569,0.46038734909389467,0.49575274205560615,0.4814049155446192,0.7437359294255813,0.6018864728609924,0.484771218104969,0.47658004097238194,0.5740411359352507,0.648067107128773,0.49331975923069865,0.47003307843827113,0.5548821824018121,0.46253247107159134,0.5423902719992854,0.49661160745476873,0.5065129065550535,0.5868692719852555,0.5734880565488152,0.6731798329723055,0.6576690758481535,0.5923862208029894,0.7888166785160664,0.5614285614176007,0.5084029900398891,0.44071130386968715,0.4444347063105655,0.4196554460877654,0.4144730573623696,0.42250433819255034,0.44527282199537593,0.5883936106759866,0.4481151426010471,0.5046121513953468,0.4788728349377824,0.4785811947360234,0.37640292096542394,0.4381085744975801,0.472337545733371,0.5750946699110349,0.5511145508995172,0.5564343646353488,0.6010928576431694,0.6423437717976319,0.6453447626098223,0.6555908825136153,0.6150170542034267,0.6382678251702627,0.6535842142463351,0.8088102336087996,0.6497912406518247,0.5381996991973382,0.5256335135846937,0.6337548975481623,0.7123365029761298,0.497978772797692,0.4556714766419477,0.4632198182246547,0.4451094073432444,0.44202026154367724,0.4467314793570306,0.42320057576500253,0.45061083030487914,0.5467878235700605,0.5484057771921177,0.6592940270949774,1.2978313347002994,1.0641089456381936,0.5341869316898654,0.47226214993647336,0.4444209883402483,0.43184833687040297,0.5025775846209997,0.5451496230530952,0.47038792620549225,0.49989193728714076,0.551272827229725,0.6209964397105276,0.6964394310583453,0.822347604899946,1.0941100687720327,1.059303291045801,0.9666984730425658,0.7550676978471499,0.6042856590246589,0.5652253984923401,0.5472154490641101,0.5082471942045569,0.5121126600173355,0.5061828836193476,0.546590821569339,0.5358950913225654,0.5423437490518187,0.5996612167325156,0.5708445682451897,0.6475403699272291,0.732149991532408,0.7047569570911364,0.6965013763447653,0.6354906019415802,0.8939532111938893,1.3302143710267245,2.4089234496485696,2.623750492980948,1.3212054156219712,1.2426484997461231,1.545004487904835,0.98717881730366,0.8565579114968503,0.8319644815704255,0.8454171035198578,0.7595150502617609,0.8440257351744813,0.6686456472872797,0.6672153617045217,0.6622196120000707,0.6070336508099806,0.6097441848700371,0.7583997985857601,0.7001073704200672,0.6665618778362079,0.8088598067772694,0.9689863645300492,0.9520887747209684,0.9870035172667907,1.1536375499229745,1.2396609530491505,1.31081319728138,1.2709469969875224,1.0184497542434785,0.8321311302692863,0.7110147637149642,0.7526490610389907,0.8275005899047153,1.479174288817736,1.1539808268730627,1.1148003927950487,0.7805809558128675,0.721215740431802,0.7683610545709455,0.7953168568670779,0.793252400952346,0.7275769242778606,0.7718022824372383,0.9525982697694125,0.9606266610976819,0.802617200577746,1.1350602941379229,1.1360688707098567,1.0282087426326187,1.2197924070539916,0.7642919786752308,0.8749086848207229,0.7774472642079431,0.7589476070606046,0.8882510982959464,0.812876020392127,1.0125378123777276,0.8253288009625629,0.7494758955764608,0.8856111620870696,0.8421680169338243,0.7872556914118867,0.9508781132812679,1.123007338147689,0.9975930126446677,0.9318523435152855,1.1019967125428851,1.2723564843548152,1.0103107184152715,0.9558488978820249,0.8385401526843432,0.7252062248805987,0.7248517839202836,0.645957342236545,0.6744935636163463,0.6508058760659283,0.6291395816102163,0.6491653468922068,0.6855498728846728,0.6438243656641834,0.7409545916358752,0.9133405562378869,0.8133027259241722,0.9090433103169798,1.0250029696539211,1.214806032694059,1.1143816495776173,0.9642105100772469,1.3898663659889163,1.3618236433127684,0.9436167801125753,0.942359269604768,0.8176740389414847,1.0412188592953466,1.2109144630687045,0.7556705202267523,0.8753318352283305,1.19948291552623,0.9522220379728088,0.6624338821285473,0.6878837572204259,0.6183215820921549,0.961959161870925,0.6692882700925803,0.7191998828164066,1.0420570022765185,0.7146360688540441,0.978622480543984,0.717911516121569,0.9017886683397635,0.9455246560522537,1.090983942263387,1.0954167273344881,2.0416954945949253,2.188508572782132,3.125565975912898],[0.8748837369085322,0.6444157095909646,1.007263517908923,0.5576599957994366,0.5753618085031312,0.6364489362548476,0.5662377610162179,0.5639524109522082,0.6052653015399208,0.5277374582839568,0.5120499615485925,0.5788403382373514,0.5428299033886137,0.4944485528444276,0.5757288382269384,0.5298624575012534,0.5218447661602089,0.5230254952834268,0.5858467794099042,0.563932693547756,0.6662993196184099,0.7718175703546035,0.9167582789905895,0.9109202625445336,0.8029058986068808,0.6645466105499437,0.6059712056992334,0.5114151875096933,0.49135440104115,0.4816315454258364,0.5529917585079185,0.4928587170459402,0.5232742290933281,0.5072525293690485,0.497718383827352,0.5284227778623376,0.49552545099244916,0.5521456265022286,0.5364594954260226,0.6410029174927571,0.7295421356765225,0.6804353334395965,0.7003945861019432,0.7312528260691715,1.1476039227199384,1.3991469794174611,1.5133413398980022,0.9006570280720112,1.065814966133209,1.6160219914685563,1.1295133343966164,1.3129897358378801,1.1694832655292158,1.0044807128808215,1.4067895444078933,1.0183237456083307,0.8204380511673828,1.2072034182288065,0.8632397674249573,1.4474506288607512,0.8506204845736076,0.7541814828707271,0.661416480827829,0.8359743628228846,0.8602476841656967,0.6648620009256981,0.7837389611081572,0.5874002096619311,0.7249644048629846,0.7226798563068599,0.866349171862339,1.2406751223401171,0.7873587168195388,0.875238465149195,0.6683185538466253,0.9959818849071764,0.5834737495488054,0.5571751722053323,0.5635771326959463,0.6607182678482724,0.5401644372547876,0.8167452443869424,0.860972895701246,0.674003030635694,0.6707038683327861,0.5262564679127864,0.5467308131714368,0.6285568528216563,0.5322315317911263,0.558013071499734,0.555847450617517,0.7949412690715418,0.6773361328325541,0.5822816338273714,0.569899931403011,0.6650511872061792,0.7376121064819655,0.5739306804048226,0.5404536318516057,0.5853415889184085,0.5334639063774567,0.5795554197309524,0.5310178691714886,0.49410873597539784,0.5465963469879105,0.49309981965891475,0.586415213182775,0.5917395760849511,0.4988170977991065,0.6772630707212186,0.45201770363692934,0.4660579009511136,0.47267112105588643,0.45083366389394824,0.5235466898323834,0.5374761917247123,0.5543693975624892,0.5156255021763393,0.6197976923417927,0.535971229991774,0.5922216511969957,0.6241329091605761,0.6320460404705651,0.487226548131949,0.5064840903467703,0.4880022092138495,0.5876957713118721,0.51477127518812,0.4570856720484809,0.5063624765464129,0.5640878070045997,0.5787158702601599,0.6333520950004106,0.5674246173702773,0.5850213247123458,0.5723998298488727,0.6908409949740106,0.5387297566370507,0.5027969317769613,0.5162887444927119,0.5920839947193189,0.7262716322960668,0.5184682635390971,0.4900032894963826,0.4926857189279048,0.48382485120613555,0.48377014306558314,0.4839016003358752,0.4608472970160838,0.5152045333301404,0.5429440454831378,0.5878211655248649,0.7172406818630876,1.2229220937135272,1.0535622286821167,0.5726512441040765,0.5392726620825146,0.4700637440525889,0.4803549856708768,0.5034847628121072,0.5198001471845407,0.4897279228172572,0.5100387451898343,0.5565166891869217,0.5914243139175371,0.7049110962406541,0.86914765595241,1.1629789382052376,1.0566974593598737,0.9170520744873528,0.7218961191312145,0.5507555519531118,0.534146383667285,0.5309588277460643,0.5125865605099853,0.5019815942830497,0.5329713713409984,0.5627047578394014,0.5727003216908064,0.5490061751995811,0.6378268851305773,0.5299871041554871,0.6269725158660371,0.7510681852942429,0.6960547308764489,0.6919865634308193,0.6639573430395874,0.9317219586500481,1.3681789017735602,2.522228704876568,2.633206630172949,1.5513316469407834,1.387278916588043,1.6087407467550605,1.0249508395355778,0.9095977904506748,0.8983224058039537,0.920125627813085,0.780326682529585,0.8142940038607503,0.638336018684713,0.5085255311278082,0.49249419668462846,0.4791467370433587,0.4454260836793618,0.5118132045620245,0.5536314298300008,0.5260446346165345,0.5507572983723237,0.7666591091197816,0.7908907805057236,0.7953259123986959,0.9320112422137676,1.0998946195498664,1.2039093321643375,1.203794680961272,0.8985646931241839,0.8047726960914029,0.6407207577052623,0.653876823144747,0.7979510670208927,1.469767958382777,1.1661217800698922,1.0799864901333962,0.7818531580525873,0.6935714843011472,0.6844352277130074,0.8741616822086883,0.8362627700666779,0.7340716151277696,0.8356783334452046,1.1150557064500972,1.0440832453810782,0.893163595737437,1.249448020749488,1.2780405536723942,1.1137574179372867,1.3150132404497115,0.8220745726242676,0.9342367221295553,0.816384048887491,0.6784935213871683,0.7842000031533096,0.6933471589660409,0.8396616217743186,0.6462546780989301,0.5506647392764289,0.6208624190657086,0.6152089257966002,0.4965884656524536,0.60674373370831,0.7660685818291666,0.6878009063831284,0.6337264343792881,0.7722285774136644,1.0036633600941562,0.7488631974288659,0.6736221013318447,0.5865615389105326,0.4994665474918187,0.51656460898848,0.5765620461334225,0.5280861384130567,0.5081825129120449,0.5791527057382528,0.6330448947045199,0.6300717408398961,0.6354773559091029,0.814689000953811,0.9429084320843841,0.8294659106457524,0.9775703984657446,1.127725136101603,1.2433430118272426,1.1293221972687424,0.9692878045313891,1.5024063560759535,1.4610876536201953,0.9845767204968958,0.9597625914768013,0.7576443589422929,0.9854528603626886,1.340345763678503,0.7635448212352646,0.7599059175907397,0.9968640097620354,0.9082634418722243,0.5058083142691622,0.5861882899205075,0.42808163532922233,0.7416739387087141,0.434938930174777,0.45677607075143145,0.7940448175481862,0.5075060010415346,0.7883311821472091,0.5736853115123409,0.7902370587730287,0.8033142531200123,1.0495826318311021,1.0562948686526223,2.0605072138191844,2.209484786406694,3.172428474308542],[0.8197223320030018,0.5748532718118715,0.8836503712728205,0.6193616179936654,0.5188793541311546,0.594994890498028,0.5859238762313662,0.5739041313422122,0.6414152362374248,0.5933489578376391,0.5809833561859576,0.6281836650227454,0.6007418301701813,0.5997822283512021,0.7198284807792681,0.6391154464496035,0.6287440868688277,0.6317033979744424,0.6759833599366935,0.6486434704585151,0.7355974199450064,0.8266786959245545,0.9539981571823718,0.9582134615836019,0.8629525819497968,0.729735080726715,0.7212721817259148,0.6095121521554991,0.5995428421932483,0.5982577738141139,0.6651013767124799,0.6127955327889801,0.6467727251923274,0.6502349536085456,0.6221939748498254,0.6450437209604974,0.6076088452228543,0.683282643445339,0.6590196673315802,0.7553874793049841,0.8587422810341854,0.7907647716838582,0.8321591607660767,0.8825822320032294,1.242841070022924,1.4656803670466807,1.6055294214887255,1.0402551256137313,1.1908917648848698,1.629978952381061,1.2181386102793927,1.39645303216958,1.3817159336809977,1.1321858899167176,1.3760553614314666,1.1487334512884173,0.9362521469979725,1.3315904192954122,0.9928525292725153,1.5957307911707501,0.9903361587626937,0.8586120005370813,0.7515159655138349,0.9381998113227864,0.8997306997910058,0.7530987544048766,0.852110792591757,0.6815853199311551,0.8130899190908799,0.8159522905596261,0.9359791392851965,1.3277775346934373,0.8869430147762474,0.9650010275765285,0.7804086374800966,1.1221470841501695,0.6916029683051451,0.6792118288825923,0.656449829720004,0.7591377887173244,0.6485058965060156,0.894540147174001,0.9220782910900075,0.775407589159295,0.7711621210257373,0.6347083642964189,0.6655203694850174,0.7289885917881899,0.6466435357101061,0.671684258140153,0.6744295962599935,0.9243893209526712,0.8021622402686244,0.6959371706212122,0.6741902863537517,0.7964998840849172,0.8150465691987017,0.681641459235699,0.6479321295805762,0.6393839044432905,0.6095818052420845,0.5802261485819544,0.6465884108033882,0.5942834903218416,0.6350049044204871,0.6258242384368501,0.690761283117738,0.6691455909900169,0.5531718687628778,0.7277412791144863,0.5055902629462796,0.5281970755990159,0.5069950909339807,0.5130751614227815,0.5920731152767035,0.6122919482800181,0.6107559243288,0.6096407865861605,0.7172295068215097,0.6315284929715489,0.705140770432587,0.7248239566538807,0.7078101260785369,0.5515104716143137,0.5363462394793301,0.5422002210109202,0.6157693839165179,0.5497828077179299,0.5210191260265946,0.5975957671750775,0.6205530565236156,0.6479284853120185,0.7269995199797846,0.6481191628197879,0.6756954217445177,0.6275962516526626,0.7230424701383652,0.6159385733998634,0.6017288960666861,0.6638987877953866,0.8220160022397108,0.910054012742003,0.6793431873338194,0.6284465343154964,0.6294854270294024,0.5826989642365197,0.5707627032047592,0.5607007950205642,0.5365117202431712,0.5675949201864808,0.6078626915271838,0.6357625155800899,0.7325424961193829,1.2580325516269568,1.107090388065806,0.616641365308838,0.5982930164625715,0.5317661535486438,0.5561655644717136,0.594976064000309,0.6255350740843375,0.5970921785057272,0.6406354287112178,0.709072919143038,0.7660609141644914,0.8667098169621789,0.9593489451253805,1.236045008320905,1.1036609272562568,0.9819399183395287,0.8093060308380439,0.694059539107483,0.6769757782048513,0.6619265054307224,0.6326729388580681,0.6118754587028723,0.6344689432376288,0.6666357380946581,0.6970955195009838,0.6654929903825019,0.7608954050094943,0.6445938347565694,0.746735308680979,0.8609843806854366,0.8129612901134426,0.8519686032634405,0.8041701495682919,1.1392043338901385,1.449852920564983,2.5238830103198397,2.6296395583190626,1.5788682770211078,1.4203605182888173,1.6907547215253802,1.13743256058288,0.9899308718910659,0.9447924861485968,0.9729348993572025,0.8149175645753678,0.8517791569868546,0.6625439195826293,0.5553596224486502,0.5371059784763415,0.5007664515792013,0.46711384611044987,0.5548395038160177,0.5455179600253848,0.5101232009505131,0.5754313188737302,0.7726879952487034,0.7786205463769086,0.7865141736081289,0.9439844817181954,1.093396998718044,1.1838248686387396,1.1727996715165805,0.8823404764832329,0.7798256197693748,0.6162393112183631,0.6244779630467322,0.7683707230526573,1.4595783152893795,1.1483052498221196,1.0776145996918804,0.7690596448552812,0.7170502704589279,0.7331052281921807,0.9365767412997369,0.8521567605622543,0.7574966628939241,0.8823061526685911,1.143838486542787,1.0463174445079941,0.9247426364682028,1.2998124130417172,1.2989308327284892,1.1356383971605148,1.3315525953293583,0.8418065339367606,0.9826900496499911,0.8772818314469404,0.7327914422476467,0.8683237457331127,0.7631310524375654,0.9197255363509744,0.7197915447863887,0.6074013898829095,0.7300604409622442,0.6867057437067147,0.5572075620044737,0.6814919715870571,0.8404452105754787,0.7294306048689596,0.6717317846543683,0.8194585082411102,1.0231978706463616,0.7710197551618269,0.7019088201803382,0.6066355493180888,0.5040537195373452,0.5360859275649376,0.5782271781195172,0.5063542335035875,0.4982529285927386,0.581402124565342,0.6126643055392871,0.6131775828268242,0.635273854391416,0.8085121115601372,0.9211739079373776,0.8178867859622116,0.9736487282334502,1.132954157129922,1.2343319786072482,1.1195060020590795,0.9617090473482219,1.4990772459797603,1.4583996907645067,0.9701398211801141,0.9345747461981443,0.7333277270276055,0.9449169740592162,1.2684813139167983,0.7439667462097643,0.7720539614584837,1.0036118909422211,0.9117410764278692,0.5332004130828835,0.6188515486487053,0.46222181364726245,0.76965770657495,0.5096689527751992,0.5258320670811191,0.8767216158253229,0.5695798231926144,0.8069327850905461,0.6073799029340372,0.8365082642781559,0.8548238589125413,0.9784142713581674,1.1507366790852938,2.07712322200404,2.284941036913,3.3915575822546127],[0.8916409962032802,0.678120605594179,0.8762439119234321,0.8760348336972399,0.7079463134908658,0.8080752080020102,0.7863627782721032,0.7383032760626455,0.730325169938852,0.6075644228495102,0.5308047787588186,0.6060309525717346,0.6072795866002659,0.5150105530390686,0.5980766440464,0.6154462093415662,0.6688139778625249,0.6492601079208521,0.7383931335865642,0.768797183634043,0.7866956196982798,0.886416097972674,0.9652984194368418,0.967344221654894,0.9235633590178204,0.8294130925943571,0.8684435433504313,0.7455151486081988,0.6889471347373621,0.6874635313829317,0.6232188290938604,0.6578215291123524,0.6415221921687155,0.6702690755308468,0.6792596480463255,0.7031179222764699,0.7042537846934958,0.8043037390256529,0.8551535972647786,0.906122128301703,1.0339672143778689,0.9064618984450008,0.9289069111077661,1.0247620654001062,1.2860265938073348,1.4888912257164022,1.5374485823872928,1.120116212920425,1.316358188526678,1.6052178448173626,1.2173206696415177,1.4376612361487953,1.4644571928325976,1.1248746130839407,1.423819105236466,1.2630664453436693,1.1368099909243372,1.3169337642070311,1.1327521086382784,1.8495628655061123,1.1655969836566922,0.9121254276205977,0.7829972718358132,0.92202191629863,0.9227271408869844,0.8113054262329539,0.8982183940783155,0.7165447261143734,0.819070145067951,0.7518528708941454,0.8847764460181692,1.2432198500483878,0.8240454304809093,0.9549472821114879,0.7308965159952739,1.0488674671516267,0.7439763900587875,0.7186084854021514,0.7268602149245316,0.8230234021525945,0.7994875558249022,0.9412505218661609,1.1355081412888328,0.9066472587610834,0.9678015512874615,0.8121768056853095,0.7888670741444135,0.8639797735195608,0.7408768171610735,0.7241287446084134,0.7016058630299221,0.8624071458052346,0.7209500879970819,0.6204436508917246,0.6055195067723993,0.6639503185774228,0.7373893615204447,0.6403210920676389,0.6480782347646793,0.678802052428847,0.6835308406573504,0.7412534258299035,0.7892896232531903,0.7858283415985133,0.8673379056773267,0.8897149576885552,0.9142398270585798,0.8880238618652823,0.8187031395898179,0.921557962060986,0.803342038700642,0.8182337785172973,0.7337900663471254,0.7655321862028219,0.6741104460316191,0.7245995487685146,0.6972207978020531,0.8094777548851567,0.835686735358128,0.6640441059525797,0.6981316831647183,0.6283598266672553,0.6796312442146893,0.6479526717130424,0.7036077833293827,0.7907065690824935,0.8443961824461711,0.8098290939393408,0.7960636355381476,0.8576419488401242,0.8613230510821992,0.8664625353154607,0.8912262595008857,0.8839433275367341,0.8934316444159388,0.8928200029971535,0.9385683810753954,0.8963434545718495,0.8807096742610345,0.9246369961845863,1.047854347471385,1.095787194167726,0.9262545742521272,0.8718252608525676,0.8589001743588797,0.8062723843739882,0.796627848209045,0.7463248452095972,0.7363163242897639,0.6988497061000065,0.7929514661826293,0.7675054609351175,0.8710035109368212,1.3201089736358664,1.1382233413754452,0.7172067008382801,0.6809354637013947,0.7000207573384227,0.7060215622221054,0.8058016500676277,0.8794257627878184,0.8178766433815202,0.8913780848140834,0.9418780664698599,0.9722256882241865,0.9985949120669303,1.03473339873882,1.2307840639548975,1.159738330253532,1.125597497293769,0.9683223321029536,0.9245684061785143,0.9060211091783091,0.8960145838083639,0.856341881186492,0.8290727425272759,0.8146888959665344,0.8420262648681369,0.8771726700647554,0.8791241723570505,0.9375565787953324,0.8898172570606079,0.9524073868221312,0.9923781992672084,0.9729919303792003,1.0135500017965764,0.9819639051279673,1.2615831551796235,1.5021989796281048,2.452826114913189,2.6616026751878916,1.4659589857943338,1.333305990151017,1.6510306688270262,1.1539639719780552,0.9845099586776695,0.9301347124699019,1.0062169035987367,0.9239853733042891,1.0323705167897677,0.8647497061231418,0.8523227384735274,0.8436605594030093,0.7849106035549424,0.7832562216168233,0.8833663091448186,0.8050801371822847,0.7803352320689058,0.8937415261846522,0.989552951618059,0.9598569399892303,0.9767277893659839,1.1136167849072132,1.1766436704801462,1.2179165112256851,1.2108222139559683,1.0465778222434585,0.8912388816676412,0.7893557663269133,0.816581677908912,0.8731932413892699,1.547721873707485,1.2359862705001932,1.2890097253599702,0.9545788693235021,0.9014328381859135,0.9421396002463179,0.9991955927995517,0.9228407049884896,0.8897028008846907,0.9462189988800752,1.0948713262882908,1.0688641204744924,0.9620106371739624,1.2794034372267507,1.2042020918453427,1.1316579687646373,1.3060609665629552,0.91645868316957,1.0496615627944308,0.9847081183010017,0.9513861783764618,1.108840821706825,1.0337280303159286,1.2067383679021249,1.0165364193523652,0.9357896051000036,1.0721707882056841,1.0116742062145458,0.9262834635307315,1.043251739688052,1.1634746557729736,1.0301264120225964,0.9940680817371291,1.1069632159344651,1.224985220630474,1.0227356635634133,0.9905014541290225,0.9073835877919795,0.8457846314992299,0.8679289984646353,0.8281259334256637,0.7827046782444355,0.7783199591221225,0.8171544986130488,0.7812414851615269,0.8035024534767676,0.7992009843207725,0.8678463601650104,0.9739435306984849,0.9333325906197811,1.0018306839193187,1.0995810115256526,1.2429497045287075,1.159574473184049,1.064637287787245,1.473285504905541,1.507146376453293,1.0538955543191766,0.9981458370943386,0.8831462386846449,1.0293367585877427,1.2202565024939453,0.8893121403312902,0.972657506690492,1.2419263018708155,1.064203408149058,0.8248362218694069,0.8642865017230879,0.7876292984970246,1.004419887050314,0.8503076769303402,0.8617759872219369,1.1304172609469578,0.859439887188856,1.0094603168774892,0.8324669518604949,1.0020754601718267,1.04098710711702,1.0490520666448908,1.3324187161214656,2.181180120373552,2.466189163838432,3.640339139870856],[0.8414521771794182,0.6231269536976185,0.9620581286287189,0.6553877944131102,0.5459648965960688,0.6533804460551588,0.6517498383903898,0.6318017372904232,0.7253381599691231,0.6875887314075143,0.6847859245951555,0.7073779920925946,0.672676733473959,0.6769832891346657,0.7542938475289426,0.6645161134753711,0.6640502394966099,0.660115146450047,0.6875136834101496,0.6115366837914545,0.6924453173384831,0.7482583445449003,0.8742610481399198,0.8458703004255582,0.7637467673499526,0.6712350807142261,0.5661804150059827,0.5800614749185553,0.5900920618747952,0.5594071033809895,0.7063985009443406,0.587515153107297,0.6380101486475955,0.6146135134115908,0.5818364118396926,0.6063241068845273,0.5522234960325683,0.5393557640656894,0.4626753250086625,0.5217350778661076,0.6091580031242809,0.6139422610019424,0.6090615098040035,0.6131745842491314,1.0341710543967602,1.3000858496846097,1.356385970562451,0.7555320958113537,1.0067687765617064,1.5397959573680877,0.9856710629577048,1.2228967463918463,0.9881184237824215,0.9601666008424841,1.3935526783218717,0.8795165953079321,0.7090249679928995,1.1204392554557594,0.7667131988627891,1.3211093038531094,0.7613866532698279,0.7138996746561651,0.6866632141330871,0.8016966212920137,0.8392639427758524,0.6677652717493854,0.8085257753892748,0.6764306603558552,0.8223244099154704,0.8492723165569481,0.9897538703456821,1.311278021667115,0.8801813945046978,0.9094109150065196,0.7936924843079354,1.0531951701152185,0.6405337636365335,0.6232053123183636,0.6275652107803044,0.6794663392991512,0.5069340946064717,0.7628405689594462,0.8427089316240217,0.5646882334266295,0.5487664469020357,0.4691923528914857,0.5234317908765552,0.6219841188638294,0.588501481041647,0.6542617737216428,0.6501192433327725,0.8909005538594893,0.7989592851509292,0.7131076759546412,0.7012374434072065,0.7952102850833326,0.8300417051288682,0.7027850718594706,0.6757019395163915,0.650683542762003,0.6079264086392258,0.6213000303506298,0.5678221194649397,0.5023424068558351,0.473953063629963,0.502195187047569,0.5724060036431038,0.5229162256503207,0.4675448310912852,0.6222074666142199,0.44765515172616643,0.4626780303380091,0.5182186281406176,0.4862730572400664,0.6527189671096248,0.6831050530839903,0.6932756563694191,0.5765388014381576,0.6499248185277888,0.6811774729763743,0.7348235801894741,0.8181526193256294,0.8448473543896166,0.6448781400710605,0.5853156387287423,0.5191967888751731,0.6307780037993959,0.48306802253412207,0.4174872648284012,0.4399272605952355,0.5204846922525457,0.5133406887075626,0.5628510388097827,0.4654906310201981,0.5016933651107625,0.4602866311078391,0.6490807354490103,0.46779228765063274,0.38787597908815635,0.4128031051919387,0.48470593948849305,0.6064833188358844,0.43440401327097206,0.41470294784243134,0.40522334783816655,0.45107707604959396,0.4657756465121789,0.5055918827495745,0.48318432691248203,0.620428707168895,0.6280628919102772,0.6917172758649142,0.7804514986080527,1.1903078813393173,1.0531630147500535,0.6319868921899572,0.6248560952824063,0.5366589643896174,0.5412836099364732,0.5153708021272924,0.46374729822942035,0.41936490938966187,0.39355862282206294,0.4296120327064133,0.5127137978951077,0.6813709933342865,0.7871217687204698,1.090123143462824,1.0333124714452528,0.9445795801338368,0.6904156563415323,0.4899620236298281,0.43001774658631337,0.408666047908885,0.39171335084170533,0.41871512163555236,0.5184670734905237,0.49885802295767945,0.4556348711016223,0.4253859029704819,0.5285840483921995,0.43780636583086074,0.550189069045264,0.6513943177616164,0.5970143743615665,0.6044945357113105,0.5561205616350645,0.7996365262907189,1.3239556409606636,2.4561236543960727,2.6668010464901397,1.3134221804479163,1.249461318362255,1.5372073327884934,0.976912576060778,0.817988845414979,0.7842374578414629,0.8559697146217132,0.7546238163929946,0.8421798626897975,0.6486231921332158,0.559427078545033,0.5376027794251068,0.5284587903433382,0.4994419665605352,0.5527034545843433,0.5492946282094495,0.5171117695153784,0.5504718004036744,0.7007047948994853,0.7063089591353078,0.6902263555966159,0.8109467826729784,0.9770333837816958,1.0347085877232651,1.0754733335885847,0.8219772986995665,0.7847627868652954,0.6261632301010254,0.6263327121055922,0.7456671608830884,1.4952514301630606,1.1577569923387423,1.0957517168603994,0.7897320363326353,0.7303111125142875,0.724906419092332,0.8807611422140874,0.8150886289209619,0.7480675641831029,0.819073593316023,1.0302292760134601,0.9711259658340817,0.8480882818171663,1.2081133803258641,1.1565108684692502,1.066297686914416,1.2361339822320776,0.7748142207145194,0.929649994596069,0.8093183186085492,0.7240478076899951,0.8420872084146773,0.7903562102406193,0.9212211148033961,0.7266213415834184,0.6495077883422682,0.7569281013063526,0.7081147461178207,0.5453392168205485,0.6363751848953717,0.7556916682447726,0.6405756757275012,0.6089941139480036,0.6968018005651945,0.8778814630357724,0.6859980753370227,0.6384144880357381,0.5930319208266658,0.5158835218844522,0.530459848902627,0.5892961554574898,0.5327307186727175,0.5313487562785616,0.6096750325754304,0.626209183222602,0.6446957182991826,0.6571076535165328,0.7788888038376025,0.8725588191227571,0.8124655401869004,0.9138978383478391,1.0696634722788592,1.1795215315889662,1.0881599776282576,0.9900488120794507,1.4929296658780444,1.5563538441751659,0.9857189943447148,0.9316063959938247,0.7411015507395007,0.8804512636545878,1.246268417007341,0.8172467295325423,0.8127038109744192,0.9678966686185241,0.8957398446593984,0.5748328103482802,0.6036308717199351,0.42912601575816955,0.7253012938893934,0.4673987702368054,0.47832213904059406,0.7311510482724807,0.5146151351331512,0.7362053184537996,0.5330284939119262,0.835203285780199,0.7751774096387125,0.8872525432789113,1.1216564575385337,2.0896994636313235,2.340756284860331,3.5040274796649253],[1.1669748161152835,0.9186477233613514,1.1226832608303536,0.9448163523143066,0.9377894878364821,1.0107557426637364,0.979802506221086,0.9332917460253016,0.9667412785417772,0.8931438424257947,0.8603743085187457,0.8873683071507633,0.8647869657578666,0.8470081709751991,0.9312779573707205,0.8489166879358241,0.860953028644042,0.8532807240983685,0.8938110785800333,0.8217000967103372,0.9280876618667095,0.9417255313844624,1.1212892988702043,1.1433214589887613,1.0004687971834854,0.9052142473813902,0.788748763149993,0.7779220564350071,0.7818699689903369,0.7687922116116264,0.8806592571422425,0.7985496106011875,0.8298471241911746,0.8124891486112006,0.7732665727877858,0.7969831339376705,0.7550789924342097,0.7241490183900985,0.6697129510135129,0.7030482028447134,0.78635815147966,0.8075236817306586,0.8268536396612636,0.8544065302432766,1.2514101661024837,1.474019949542402,1.588308414203223,0.9906015006204945,1.1160727242936046,1.6306105324241191,1.1920761183329864,1.4123985692703356,1.2183578677345173,1.1893335522132489,1.4311383358734657,1.1180770264430586,0.9237191979234382,1.264083334589406,0.9783519520541258,1.55466872642221,1.0187899672416603,0.9510639915756092,0.8909251134147788,1.0210936025424242,1.0248336562411087,0.8782089962018735,1.0369174849714242,0.8866270614072872,1.0329237490173975,1.0200163031464098,1.1555107624613794,1.4850785820791685,1.058551701731927,1.1520362540227622,0.9677212719096852,1.178578354196998,0.848241353585309,0.8210275360127952,0.799501258976555,0.8803323183204864,0.7133268024389677,0.9299885352850488,0.8920932243993123,0.7797757785631443,0.7319948602899929,0.6715112587472286,0.712756429353301,0.8090772311818593,0.786339144320213,0.8395838560683272,0.8416216228603434,1.0153348728905132,0.9664790842239295,0.9007557219043567,0.8836515641555386,0.9659850678295244,1.0020130298627148,0.8984155739742833,0.8838482544834954,0.8642583166959319,0.8284392785750027,0.881681750204457,0.813249844023183,0.8236325834483333,0.7589459969131586,0.8670847548124839,0.9604369534080314,0.8949679164965001,0.9396594995701036,0.9543364819034349,0.8832121455551293,0.8559019594269741,0.8823725846643944,0.8378106009338583,0.8611798339015541,0.8880019941588603,0.8684791937932209,0.8275266001750716,0.9013560511168238,0.8615936053028178,0.9350692608756033,0.991678639294729,1.0020643070430542,0.8391961503311829,0.8472173193449547,0.9064425032345157,1.037115734647389,0.9018820727504459,0.8734340737431,0.8106718403612694,0.9011350684667049,0.8765872402835196,0.8547320341869714,0.7593754175076385,0.7919121908951243,0.784016459752821,0.927258509406751,0.8153263439370372,0.777236671925381,0.6935359387838735,0.53315018132336,0.7346198374811111,0.644863815298556,0.6278173230678779,0.5981678504285622,0.6547469605186391,0.691697142526632,0.7596609562744975,0.798519600980186,0.92056976156361,0.950214563365328,0.9758855178614185,1.0612181962404141,1.3654162782473354,1.223786952015075,0.8730268670796226,0.86772038900876,0.839659883227036,0.7893409918094121,0.8117212696957381,0.7734823090445144,0.6497294273638076,0.6162032350192821,0.627635599689525,0.6632119563101697,0.7447849547796527,0.8681981112739574,1.1653036754050152,1.0538638080616183,0.9376719998931927,0.8266854042941443,0.7154104777012579,0.6585596486442614,0.6553768267116991,0.6417501470217107,0.6671851225479334,0.7391077494205637,0.7034791467941409,0.6698413058701456,0.6362698823583249,0.6903696246338163,0.7292892582875015,0.7903509898894711,0.8211245393039143,0.7368196027295069,0.7367036502590708,0.6836310898937882,0.9986879832414394,1.3357576277040815,2.3997487006249334,2.5013299012253234,1.4851484723062562,1.377546198188917,1.6862117150686204,1.1841798284974632,1.1304117216095866,1.2046636438967246,1.2526644371690954,1.1550149189317194,1.2032394356154192,1.0768045538057207,1.0010816503053517,0.9751325562640384,0.9886714500160763,0.984884863430352,0.9767670177608139,0.9796134971348323,0.9766960486860862,0.9783642885009181,1.0683338688723067,1.0631483264801298,1.0541557681597455,1.1695651596079797,1.2964924067366344,1.3374675935468314,1.3498578785841788,1.0956603337496715,1.1046669779946872,1.0271008446504823,1.015139513959938,1.0479487050712677,1.645769283331914,1.328088002747163,1.489764987394678,1.211421611942157,1.1595920641233661,1.1370867805586637,1.3032473696687141,1.2390562955384068,1.1777988150590573,1.2537951697370453,1.4188952877889884,1.3329560706443844,1.2575250293763507,1.5666020691548135,1.485430716116755,1.4028502154716083,1.4780572369351566,1.186827305813862,1.3107133285065236,1.2068083316001652,1.1229251773581381,1.1810612153034477,1.1905688201764322,1.2547830660372459,1.1236268236531266,1.067240274278875,1.12246253967759,1.0789943335850458,0.9684005974959448,1.0008323780496526,1.069214118210201,1.0062877109866815,0.9966768648183103,1.0377537971097497,1.1400509761165734,1.0675390907859963,1.0441541434277528,1.0124515784031127,0.9663227439516814,0.9519986675594787,1.0453966623036541,0.9996275982204732,1.018129603762488,1.0568769415473307,1.0886966488617438,1.0931605986184787,1.1003079275495444,1.1968858333756818,1.272110984654578,1.1750445176682982,1.2381095316851491,1.3688722689693236,1.4362493059527681,1.3364097764598157,1.2574811546085425,1.752371448570163,1.7131481592470468,1.2790921890453546,1.2510903763040186,1.0775960432840097,1.2103463354320643,1.5496506525482012,1.161759952734044,1.1228076387426709,1.2014011921112184,1.213128307254341,0.9571577653297403,1.0244330995979891,0.877806195545641,1.0101354271610623,0.8947767007009163,0.8962170682603648,0.9874390942810111,0.8838015388831679,1.0305164382048857,0.9040005250717444,1.0535059189374445,1.0957316425025132,1.1974470153480268,1.261219429247973,2.0895279382708996,2.319362609441856,3.5404229795771753],[1.2900536077941227,0.9831961951040831,1.079949339654184,1.018443225467072,0.7929993533792565,1.254322789892766,1.332398992984785,1.3566435364414604,1.740028265484943,1.854354348404447,2.0119493673849753,1.8412476945495506,1.7470452187882326,2.104893867896074,2.1682836987159138,1.8838062758463545,1.8383322744613968,1.8786898505399754,1.9044387417981352,1.4941161763680273,1.5640035640417176,1.3107035238752023,1.493892216266496,1.4185773535996395,1.294714905440131,1.4452949443944345,1.2481759420582392,1.4076372335218064,1.5098012534065242,1.463918314861017,1.913555048000359,1.5729895135915928,1.6796626926496854,1.6770366485022803,1.4697308236646662,1.4907474241241887,1.257158617823444,1.1182206096854783,0.9573438601980117,1.0677631776730092,1.0914687070948093,1.0963034713548623,1.0861688634920081,1.0564908398750052,1.4040206820947587,1.6674376293370177,1.804122652817876,1.3292623589795507,1.6338160868334937,2.1652795770405624,1.7730817706151392,1.6123832315823297,1.8642214315230603,1.4233815904593299,1.6151070320877234,1.299038681808629,1.0952118721124942,1.380335887761997,1.103933458066615,1.6060283365723302,1.2135756656654324,1.3280758611745063,1.4147507859742214,1.5293279518021174,1.4335991802903074,1.3579475853507652,1.8173838741847232,1.8156064697569338,2.2116785152410556,2.3329892493841804,2.56311661600246,2.891636404584322,2.4339541965080946,2.3023231009732035,2.043454144449135,2.0595805644415353,1.5801993837161858,1.5677538492371057,1.3712060891657853,1.2478596971630045,1.078994308141864,1.176292006496023,1.1381459416034911,1.1046855782980316,1.1127514391992588,0.962777512378485,1.0526394664874292,1.1796219126997156,1.3723997002934634,1.5246279593635321,1.732901488918798,1.988347034109953,2.0700799796817537,2.0084569408773323,2.0134992624631534,2.2323792337743544,2.2514456418039885,1.9000137890091504,1.8069395452011348,1.6540662539609319,1.4598108814932027,1.2389081098583343,1.204466681086172,0.9820706983052795,0.9559044772346734,0.9044849861338393,1.0521913287851656,1.1429678713410336,0.9528168201914898,0.9304284314247172,0.8172344285487464,0.859395805878343,1.0940514326423745,1.0331099000275972,1.5371118231770022,1.5303847825464585,1.694507261661923,1.7199988180828218,1.9017127412517865,2.0170208530081934,2.3090287235336837,2.275196914070277,2.2265734084879627,1.7332062499533634,1.4632886105552432,0.9623465472523929,0.9763034612477717,0.8481380431407508,0.9082092809111697,1.0552775372452663,1.2249527648044654,1.3952964883157681,1.644008208214238,1.3729443529966214,1.4441473206493483,1.0922462322107853,1.3653127645418752,0.9821748514688328,0.7192799813981635,0.7479191328120877,0.6237569463498083,0.9903746967483146,0.906371358170035,0.8323211855944074,0.8212740890339093,0.9960102243614959,1.0178966853542533,1.1444933144482525,1.0269556507146484,1.2780815768219254,1.1355051048894524,1.4209967123647391,1.3507527253498388,1.750392659426182,1.7931605954637326,1.4670629478961161,1.4758973685635999,1.1771374934872372,1.2766106923097356,1.0041959980646107,0.8766005070965186,0.8753078515329377,0.8409481224132264,0.9754424345408422,1.4154630138264983,1.8705457417575582,2.182131708721623,2.7759855817905486,2.48961205583046,2.120676400549539,1.8140297553215068,1.2857397233546868,1.2470453019618613,1.055855543459546,0.9295532253185886,0.9179006813701539,1.0036528394858908,0.9577245661066961,1.006967764151341,1.0242012412658155,1.243739388286961,1.0361963094234212,1.4019711219163666,1.6977728562841368,1.6502077799171417,1.5246356324109092,1.3256658468254992,1.6606319833590109,2.2133136054294096,3.956968404076289,4.003679205301597,2.9435071790790635,2.6927519516340346,2.262304184196381,1.9259321813534138,1.8341154860490732,1.560379562981581,1.3851054877638995,1.3076454157833448,1.0949470417740859,1.0827870038100238,0.9385553168776674,0.9018040762311007,0.9888542841828936,0.9233079582006039,0.888528130732813,0.9304410646298573,0.94589399497497,0.8933491715208105,0.9682393965141032,0.977734286382345,0.9598584852894221,1.0357490584558875,1.1226950336512318,1.2149134962357055,1.2897114191547778,1.043930980036221,1.187312955855336,1.0723340373662065,1.0459357638014481,1.2916462366201928,1.9041436557996545,1.7460713771052983,1.3678979530324562,1.259747348619711,1.2503401474049882,1.1799168989012745,1.4153404517695678,1.4510516930527113,1.3652175824243593,1.33405053341854,1.6992591121239362,1.6755315045765051,1.5091648131911315,1.7402949537990215,1.8889710150159453,1.767179244473412,1.862338748202884,1.3875349491830355,1.292973955192717,1.2952059036142936,1.1589000147781452,1.2134646376493474,1.1422312337041707,1.238096670762653,1.1033636438065673,1.0318214807325106,1.0731924442428813,1.0332965266614713,0.9151821838826298,0.9887465391098034,1.0830771929269976,0.9915227921686749,0.9654780239268704,1.0232419282955583,1.1210775737900045,0.9750874982849402,0.9483740637845025,0.9204545300456659,0.9198850163823007,0.9766115219315297,1.101632045668067,1.0033929473653596,0.9685276851493487,1.120949910755777,1.1857375437613709,1.1302303832828349,1.209596582012842,1.4182048350837277,1.4753457229802012,1.3868895016337364,1.5413681823060312,1.7039315369094794,1.7906646461323585,1.6563734303573538,1.4471872575415914,1.9949847485586114,1.8729461088969832,1.3814012132021873,1.323402004373771,1.1153218855978746,1.1178377837945044,1.5063219075604235,1.2224103762851797,1.3070715817350245,1.3058647622769446,1.187517121009177,0.9633523899757412,1.0009272388492383,0.8311470972276729,1.0266376346939534,0.853776808535756,0.8705600060746203,0.9976143766241937,0.9433421951318456,1.0241846920573425,0.9871455167466334,1.338926731414844,1.0828810119638328,1.0812543193271436,1.5685618992361454,2.1834556966515315,2.379614080669886,3.521625773469437],[2.5753968420680535,2.2536368721397038,1.996368257771664,2.2030304643171585,1.922733492613285,3.1319946458866554,3.4915020652344735,3.6796421318172925,4.332472729455623,4.631092402189211,4.912171280208199,4.681349697865152,4.555958255141444,5.070885248024879,5.126558199113256,4.743110211320694,4.653316924344563,4.580889538757029,4.321282038453819,3.6411415985973936,3.3951469778316965,2.5946345512960654,2.661758557846719,2.283785351239887,2.3490430525078123,3.1406860774108107,3.0313521831216494,3.7657744955140284,4.04033685481689,4.048604906830632,4.692699247255702,4.252399770018598,4.418138339998188,4.283323652907537,3.961941055524155,3.9176807943172385,3.5537692222039086,3.047729884321706,2.5010951341179375,1.778153630346805,1.7496790468012422,2.341743422055912,2.025345907014656,1.5806164999433168,1.5509215007899833,1.710380220880455,1.858952072847207,1.3925447291873667,1.6106878635285093,2.312052033629549,1.7490079889240626,1.8175570680594466,1.6797680351859452,1.7611707924454265,1.8833437110958438,1.8776283566277419,1.890314112811991,2.2605690026105365,2.16220112477312,2.305150841124826,2.440099807470325,2.8881069018260743,3.2546726425738544,3.1203892994550912,2.793856701953552,3.1387375872106604,3.828222619937718,4.207875339665985,4.702420840046625,5.0946855715761075,5.264529812728683,5.452073518927126,5.118265675075954,4.700728050972031,4.602792617641918,4.403117482002989,3.8143048966823248,3.8641387189434817,3.4713457235415768,3.025671465596859,2.856699010035938,2.3300578564540766,2.5181410383834146,2.0066025364897446,1.8297681929470595,2.493341926881984,2.7531535416379174,3.1429286303478463,3.5419407780653454,3.9040146996772367,4.26028583869973,4.52347813070146,4.781996733872231,4.80147877438487,4.887751689097818,5.1639412792510475,5.198833169069969,4.773452816435782,4.638910471637086,4.365553881771711,4.069025844059588,3.551386125785614,3.3957652563080134,2.8009400363485883,2.0159267758189032,2.075374019455312,1.7232634800255584,1.4317140690711143,1.522816657929643,1.9583057211911827,2.2020795044431623,2.4763449404844096,3.225193285061892,3.151805746146465,4.191717324639788,4.152771760241137,4.400947257189845,4.2925538462515584,4.264625132866551,4.75953896350987,5.182109305401973,5.216996489938217,5.09782220656009,4.406595265169586,3.883775003527765,2.7584040002164354,2.503790962676188,1.9584036098592454,1.5255786867370273,1.442987084983416,1.2582735672540981,1.3845418345728022,1.6247790582942205,1.3271009872122175,1.335264636259515,1.2599004069896573,1.2435213505816969,1.1431417679886726,1.613590593221021,1.8858462250116352,1.5799025740069839,1.2125847896450515,2.5315879627717757,2.578894619995935,2.332550013327928,3.087115533856305,3.215255862974852,3.502371594444531,3.165461257016937,3.6516147646191257,3.2696795271364283,3.855889114895037,3.638059146221906,4.052452254046098,4.32074845085365,4.009730461302914,4.049975030529558,3.443662223135569,3.664421845697774,2.8536712301685285,2.355968999193478,2.6415813091952884,1.9648391299089487,1.739276845271744,1.301965884328136,1.7592138021740091,2.319538626774479,3.510328206590334,3.123672586751691,2.319775361992649,1.7685940492117256,1.165169419756759,1.2806683737799534,1.5431602310445056,1.972441220386441,2.2527093198511032,2.9722861666427507,2.477960494817622,2.0341409427960575,1.7975056355381196,1.4917332975219177,1.62515809677205,1.3944532267648666,1.6573942202249072,1.547133824825614,1.4342194562584876,1.3406950853236344,1.4463978372433175,2.245530744468757,4.1748675608922206,4.356126604597242,3.4115281212068256,3.182062099367273,2.6073465429107268,2.2374365742745446,2.180133038489175,1.7178729133670243,1.5022870312735497,1.364888559771797,1.3824518885447015,1.2413303937229554,1.451065866945972,1.4355557117850732,1.1221876790624477,1.2090561871933956,1.5021274730381666,1.075553501926439,1.0846935197764958,1.445504193641221,1.5337703549507102,1.2574442432782478,1.3281353611257993,1.729345397952881,1.5689285026648803,1.3999037080438723,1.313835370333098,1.1789407754616044,1.2077285096863057,1.0789889614242376,1.100527390260235,1.2244550873674298,2.0019180975819633,1.6819495257840635,1.490428219084763,1.3431440086103987,1.3406032471761347,1.35604505360648,1.509689409911365,1.509395618941115,1.4213494773459672,1.4495922278455153,1.8493884806942695,1.8218244963210606,1.638327872392662,1.9441166900075761,2.2655237756062574,2.085785628535508,2.063338382193621,1.4817433808195177,1.4627666036671874,1.446804659640362,1.4328723427531849,1.6373676104188073,1.7720906951047737,1.9982914143604347,1.7125344992282803,1.701335307618694,2.100928086458341,2.1210495350744494,1.6924524879485026,1.9542803056722544,2.1941606394337154,1.8825619737882466,1.6935698538924577,1.9595994870216957,2.116207312631076,1.6319008675121065,1.5501471221665017,1.3643745125791233,1.332564815399688,1.3596530916942822,1.2564816085447084,1.1709017872309373,1.1513766180762286,1.2087294175225856,1.2418414495619525,1.176297533060503,1.2596885339568027,1.5284657831014012,1.6015744263837586,1.4593466497213623,1.6940489482309669,1.9413105431941573,2.0699609798564973,1.8995575898477186,1.5759378367223176,2.2813147139913617,2.1194954050928363,1.4781156903860342,1.3030017946315624,1.0700613058707156,1.1895279888939825,1.3357429547907327,1.1611130648438661,1.43196594838145,1.3653348209599887,1.197690770569516,1.0721792594573056,1.174878069135862,1.455035724070622,1.6102033906969857,1.9937578663497,1.9777419852626787,2.4735486592974154,2.414466774321243,2.050640117426193,2.639351374338379,3.2451865247343674,2.5415624546144726,2.377647521477185,3.3958143122143443,3.2960729525954506,3.322962657141889,3.912076980172961],[3.1748429351260747,2.7683741674340836,2.261236189420808,2.7477613742214495,2.2484073955865207,4.026579568767435,4.580464991192759,4.9141698308696995,6.0191262252657465,6.563080794063351,7.126425299133214,6.736665893104728,6.517241299609209,7.4225159838591095,7.566011849110823,6.963312128902311,6.821451618488737,6.915236294737547,6.730643735450669,5.679575351933999,5.453916966865318,4.288416191672643,4.396316087671621,3.868007952094416,3.874600344543561,5.03547267513733,4.703002426889575,5.581800361933049,5.9889843023940434,5.912001164355871,7.048533374120887,6.2325619037701525,6.548895448198787,6.44889746871625,5.918850618703378,5.896796356706963,5.181516904324951,4.587584059002348,3.747639409556366,2.583140941691292,2.593491819462018,3.7886568859833085,3.277824795522108,2.475271527791943,2.163205509222062,2.04646869513555,2.169431917647907,1.9610609084006227,1.9611569367207593,2.615375005358688,2.084242887580031,2.089984036713346,2.0973438819541976,2.3016486211489906,2.5204580645429493,2.73149334260901,2.9445290627900085,3.474649400460997,3.422340003650718,3.422426350925032,3.9497200303678244,4.637632760627948,5.195787247515158,5.125760775325128,4.609473423057636,5.025535002405954,6.100612038364942,6.587613898065013,7.362416925780868,7.851650852117712,8.16157801462255,8.44430752789981,7.996476218302961,7.39734049776001,7.165055995130536,6.827780001381034,6.00865947555185,6.035369953393766,5.390059769982235,4.639619796071931,4.323667468148276,3.400153553738128,3.47281529952337,2.6427753928675597,2.501769926148552,3.5946524088208287,4.174095662101832,4.674283100092233,5.418164006780123,5.942291711509035,6.558327567248858,7.009767788959904,7.318413057247425,7.257647203640546,7.332469259350516,7.768558101436048,7.771791945754398,7.016520895573314,6.693668772233459,6.1915676372753605,5.796663963345333,4.838185912696062,4.649176403206715,3.6290825724757574,2.428043921371616,2.4308732087757816,1.8676264022312759,1.586132500414399,1.5914631213482064,2.2090863279642963,2.5595646671647136,3.009372166136171,4.183360367009698,4.06927220370051,5.779649928641792,5.624413250860039,6.261976397360915,6.068074694614941,6.6180128985062865,7.181954902207151,7.794721547952303,7.628650821370871,7.152859157417652,6.037907762422517,5.238064346533103,3.386695043820125,2.962562848683376,2.1983461281899586,1.636018073767329,1.5615863966407273,1.688412875129138,1.96922635539549,2.4375838699818475,1.6490523201326046,1.8307949885461863,1.4618723697870513,1.7771256308634005,1.290156754871489,1.889123531530715,2.4269999113594634,2.2938450792548766,2.142400113228174,3.9134313740053583,3.675747700783763,3.4375342057628857,4.445607649501015,4.467143059323909,4.841507505833245,4.2100175529352235,4.919768763429645,4.28803686204715,5.2194764015704385,4.8582265740643775,5.474032973400017,5.981537967391098,5.538775289774464,5.621321806372619,4.638939650874676,5.040541244147747,3.6537025972555663,2.951027017478906,3.662013614360218,2.6324259677160797,2.3928097688685743,1.6274731948037418,2.2469081062400473,3.1743358524308256,4.88485829374087,4.6164934350861655,3.339105139998736,2.574869289121678,1.454494084789984,1.5271039954203656,1.8631935375076027,2.5621301834010897,2.942164539876278,4.115469193253499,3.390430144596137,2.7435223949940735,2.282779273478914,1.7318471852121247,1.8547692988452154,1.651556642728148,2.2081285423967434,2.014656309148375,1.8187549148007023,1.6609402606449244,1.9476536006660226,2.843957504346132,4.928815311204959,5.353208636454046,4.516149989233671,4.52701444005836,3.739100708570266,3.502311078467997,3.6146515397842536,2.899221055694878,2.4514255904407207,2.2498233657191937,1.6124705695786745,1.6928525075095524,1.5170945198636057,1.496872063157525,1.5176751809245461,1.4289715574148532,1.5668654649391098,1.37569834023687,1.4166236683728948,1.5352182889047639,1.6808381619962067,1.430969447120077,1.4788413073742828,1.9687091688187581,1.7938188790575893,1.6172140753710331,1.6798471033819866,1.4568077421219963,2.1196644890913956,1.7894983782212803,1.6871295097271852,2.0467821734371094,2.7604726933309185,2.631525479346997,2.165672573188571,2.121471351139278,2.12206028396339,1.883131311498246,2.376247708089408,2.622778095535851,2.3333208284338673,2.35278240835187,3.119591467174696,3.1787587633999066,2.8572825066929104,3.302515369228749,3.9624783678925577,3.680850414593239,3.501759455154263,2.5897459021832723,2.0374369597917035,2.0886700985479116,1.7586012602899561,1.7561948095173368,1.7775487207703584,2.024243161473861,1.7294998951693858,1.6968361112788894,2.1624028570057288,2.246210454434752,1.748168624907054,2.0836731769803096,2.4416747311957954,2.053845220011747,1.7909659399465587,2.1542225908292365,2.41777549253439,1.7784186189229811,1.6553334715234693,1.4824700065331398,1.4549614483658337,1.4706085328661767,1.610158892362303,1.588818162115433,1.4949674942555944,1.766026873867384,2.0913248616791296,1.9622702463895474,2.154692876948568,2.7265726887729116,2.9049910304025945,2.6592083825065167,3.059501239389576,3.5112513781279704,3.6298606243335425,3.399097770431803,2.831278509811402,3.7641154441636733,3.3349898522794432,2.6074486520758917,2.1953687146300456,1.7543471670811475,1.4390544158831533,1.8483533722593384,1.9462370773695383,2.6401334075474794,2.499260271110316,2.003853304161248,1.4278256348613194,1.4785327591762203,1.532820817761489,1.7875689328903224,2.2137268109053525,2.200816012665692,3.031408609288727,2.8956796947574173,2.4003082573558925,3.2874433638683165,4.137895981996152,3.242580672111085,3.0227013258813593,4.320595513731538,4.180579947393822,4.201895145392985,4.6009916447754575],[3.557022607422895,3.1000984148663946,2.624730286690279,3.0153113632419477,2.5734953691112112,4.298144068395905,4.849057478593597,5.2241779804391095,6.69944747387377,7.370336595792574,8.163473842874177,7.601389240707641,7.221202862932509,8.55783915287105,8.725366857526119,7.8449661887163415,7.618271114478806,7.841070470936123,7.763203287614232,6.324474592707719,6.260135964750845,4.880699297098094,5.203283916391863,4.647678368097012,4.392887717962817,5.676479449449778,5.00413816089674,5.93627212386182,6.505808676599461,6.389740387568031,8.01744731310706,6.83075120617996,7.287147182469626,7.20225316261737,6.466266086278844,6.4578381368199445,5.448757754845161,4.774513390084305,3.733206771150085,2.6072611544054487,2.606380468547813,4.040923068526582,3.4831699451743336,2.5658151645192087,2.481072861871203,2.7126917026363024,2.8205737114600455,2.3617854603866224,2.699125889916894,3.7563271486537757,3.006203064376125,2.7362600896967937,2.6898706270473736,2.531194060068861,2.820508905126011,2.7140140207675114,2.9921874664393893,3.5525385740704514,3.4917201025137654,3.43774024570975,4.250973827756443,5.151899024337466,5.83143697728429,5.9268998038461,5.257314348564765,5.610465735489526,7.1023377579939675,7.588477670030726,8.705917532972734,9.285730346583167,9.78194031556055,10.268487669495908,9.59194785109911,8.831620745260656,8.367973656523485,7.942657877434747,6.812443135952766,6.79235493652673,5.918239848282371,4.943548815844047,4.474122268596824,3.419172473544859,3.316935896734405,2.6067095742229274,2.526717200648968,3.543851696897094,4.299872637080728,4.845646375082866,5.8890141089477295,6.548315179711451,7.426128860072494,8.084525968388371,8.454267668421814,8.333237997398315,8.41951657840853,9.054785866976202,9.043825146329857,7.923619553181496,7.454175432780878,6.786621023791259,6.224050223398909,4.989809634071715,4.698426191222558,3.579570871574485,2.5851801158739742,2.6221180371319526,2.653178683405979,3.042642152924644,2.766297835199446,2.616475299322548,2.7453769500137155,2.96957287008491,4.235400120211627,4.001627332121513,6.130156833075452,5.7704829957297115,6.651833067542126,6.1970241615885735,7.4888660099801525,8.179697556475588,9.025830174101118,8.758307292071365,7.807331890901848,6.46471669935708,5.588970439063298,3.2812612159279055,3.0276397677979965,2.4285311721259206,2.5680124921367278,2.7269235829596163,3.781934835778029,4.2259129814619865,4.803796595906579,3.538333019899192,3.889294132441067,2.7457464620186776,3.7751191860590683,2.4214138022211458,1.9412442981895341,2.2345195770509445,2.163623121535069,2.365879459996416,3.8896302146069486,3.4424992658148414,3.2829178788903373,4.4255906304864885,4.383730236595729,4.903774650636821,4.178644718578853,5.113336989561037,4.382148902450114,5.575325232165134,5.10975707264958,5.987102046453134,6.590983071005377,5.93333291339573,6.017644381446722,4.758776587660878,5.207945366478131,3.5639347239071126,2.8040167750409704,3.507133203796513,2.4556335267011122,2.359322673662011,2.9279352084192074,3.9923215568122683,5.443271987910373,7.428053565371926,7.353211294951295,5.681609865732601,4.849652528010454,2.9686556059651408,2.7244614111179084,2.340941669753076,2.524148068235646,2.84422111885608,4.062343506832741,3.3100925370140377,2.6904535835364225,2.4703754304743226,2.5146313573522368,2.44823729912373,3.3520473482090716,4.244578140370068,3.9463389988430246,3.323940764572978,2.5762242442965184,3.0660204519704117,4.559503912185103,6.813337876265137,7.511403748989637,6.778825003261965,7.067928136308363,6.2147621319758155,6.124362802418674,6.332846377908298,5.486747711653504,4.940193854613069,4.595013465729226,3.4728756729950847,3.7745864089124677,2.99151665361797,2.8203328252555937,3.415434585151364,3.16794704660424,2.647007034040962,2.9007520776324736,3.1058559875786993,2.6799451575080373,2.5160700816183588,2.5961956285523984,2.5861064365424276,2.570671617237443,2.4553316270502448,2.589119536763762,2.891801061423132,2.845396508715723,3.8193690380467915,3.5947805393448795,3.4639055830380467,4.015428720428229,4.544048746149898,4.693225654649432,4.270619529523511,4.349337935948296,4.366543801463426,4.048424090959832,4.750223453242515,5.0541620606633915,4.659207717219893,4.759818693191884,5.674909771360578,5.7068268196085805,5.37996094711299,5.883493818779079,6.628827204869758,6.2558588705279545,6.128896389001535,5.017524830678895,4.257054815641699,4.3785397188257065,3.7873872115843468,3.460097675623382,3.2484085377219256,3.056996805924714,3.1084386615842923,2.984116417814869,2.8527076679037893,2.7867516996635042,2.7220432294831314,2.7092621937158756,2.8080559365755633,2.6442466790964088,2.660142570603635,2.6999961443800697,2.8146538355256436,2.589286746366237,2.636929779873724,2.800062244308793,2.978466790867007,3.0534277110051304,3.5809989710127144,3.4853568255037772,3.2963854004393056,3.8451953464561583,4.255859172994361,4.01423106659078,4.344749259682227,5.06829545528959,5.138311711811323,4.829802017670568,5.429688683857414,5.911662759290381,5.848425738282484,5.556732173716348,4.80171176277473,5.725839620185062,4.990305928113522,4.301044886222251,3.661791682010744,3.350991188758048,2.575417350754739,3.0143457080677614,3.49156712830133,4.420656179814942,4.50259523820025,4.059450155626978,3.170981065129713,3.339157045022714,2.517858391232345,2.4623162036276782,2.622521468179391,2.6603239878346505,3.1694313575568267,3.0391436263763656,2.750203424058875,3.5051359316434048,4.2680423371427265,3.5317293840096458,3.4566403103871437,4.592666399711489,4.710959831890584,4.750164691925565,5.144539643596837]]},{"name":"Protease-ligand interaction","means":[[41.54054180756335,38.58535747992048,34.77794258718606,32.02788151701677,27.087114004911417,29.481859400556477,25.830450934236815,26.61830591374175,27.416316330620447,23.72447144553406,25.4803414262194,27.090503969380123,21.30345797569198,22.491771821025203,23.43161189165752,21.418569105497568,17.327983283302114,17.219960112800802,15.604208916466073,13.608578305580044,14.784686112713779,14.300808521024473,15.722926889601112,14.188432981154191,10.634933344163796,11.02991493269075,8.758562998849381,10.901048457773172,14.258929829547258,17.255469418393435,22.367682280220397,22.39633363589309,26.392457488206993,25.99890847024283,21.831732963663008,18.106068368468385,17.73585092790666,12.020182474851893,8.737605367606076,10.357219974808213,5.762372625225052,9.788637212202934,12.336642099201617,9.73184790982909,11.225794279880816,10.437502697413947,14.498741508040307,12.915876254634362,8.739881915858511,13.777894232140229,16.26089888953984,17.812431133361933,17.928049937026575,15.961882660786028,20.261661275421364,20.07955198084432,16.29454064049815,19.278230743559313,22.81423850526401,19.3797597589889,18.90757788690097,22.369609280333815,22.92819995933358,23.864158512902378,19.894650533957336,17.6206254006418,18.86567944383876,19.179048722642946,19.95711224966274,22.27297047494154,22.454797039339546,26.002633218714962,25.533923446983852,24.20412691557483,23.41724450556967,27.101353056366587,22.545930554775026,26.225847400239708,22.770157170401752,20.77586099295244,19.836789834530226,16.541701109509777,18.03982847191828,15.761279079042442,10.918531578648363,13.353023924898634,14.147296294515796,18.979236555952856,18.333180235373366,24.48582095440671,24.125575899843426,28.47158984381503,28.062014441750712,28.308260828258373,26.073796452792052,29.515416650688675,27.802484876379395,27.448969812176426,27.29253943573909,31.06200639660993,25.787059032175804,26.657213317231076,22.176966439980834,23.105339553346603,20.761073852152187,21.626947049852777,24.874937303522984,23.82257264321817,25.120755219196482,24.85252643573035,24.52924254195542,19.855263559272156,21.259970975546775,17.29464275706339,17.303847729919585,15.148551878519916,13.52022409890702,12.409066511359297,13.395426088080912,15.546538624717146,17.18005108496396,18.54282250433936,18.054026256989506,18.847787822602076,21.20974754596798,18.460439878426488,23.34464005510865,20.022206631058175,21.286727679094984,19.467629379296778,21.511749318101792,23.06995429596999,19.438892224414943,18.821478201088834,16.150982949383746,15.193208541159565,18.962418910923585,15.466606745471047,14.964060567090492,11.2223951377988,11.434391249050552,7.828415996796191,7.562415819326218,7.9861904703271716,5.747109079819199,9.846924075862436,11.3233357416119,15.13472541695966,17.365739857074463,21.318867116359264,24.48774943917917,27.958144720648757,30.700611610485957,35.45068702871829,32.89957158515643,29.319723694905015,25.417128642688596,24.39371316189019,20.681380562385584,19.543689342457903,14.161734341626625,11.553968337618977,8.318087937007695,6.756643929466711,6.648018142066945,8.324133057786973,11.35087591443984,13.519257690546663,16.09983577387461,14.066841480973372,13.878899468248738,11.355528356519835,9.983580853192615,11.293495988297904,12.562554808896557,16.513413261930406,16.702878798913897,19.216612071247706,14.489886348574617,16.630396244331504,12.384835237804385,16.473129456475032,16.944668895557662,16.890049803305995,13.289790111302995,11.7568348738942,8.905228692772264,11.903531677079219,11.849968697318909,11.963692795843194,13.076962767795848,13.934500532947503,16.379585716002676,17.919948559363064,20.653610076318046,24.233591512556558,23.560780430127906,26.64725429450862,29.0238586440867,28.200522427065483,33.21236579150772,32.95811780957132,30.25805314730654,33.49070260921862,36.88701753301332,35.328463947445954,34.465052495782196,38.48772542957359,40.65149316002397,38.38199691257625,40.41183343641058,43.66660801948332,42.40017291052556,41.66067035350001,45.33368089613439,43.27344824438498,47.67210229323177,45.1155984792772,43.55933528467164,46.927472538491614,48.56282856314283,52.96472381252034,51.78323186468174,50.403050340088775,46.76217194942198,46.632943354195795,42.376246429005754,44.15590257292385,45.62474543354596,40.1578642931613,39.02611227935214,41.84046760548461,40.167871195418705,36.28295461873466,35.94969245877018,38.52092007468185,36.750255307074774,30.922194887035907,32.76799579858353,30.640324995452616,34.16876662839281,37.044045989678246,37.150992827001424,41.50216723939715,37.41101170915714,35.28214139024157,40.671771824932975,40.553217129146034,36.334933052126026,38.551111134121854,42.22000159661844,41.51052058459005,40.42275044188328,44.677814130497154,46.42897114936379,44.63065811720817,45.92426571185828,48.78730414155157,46.72979548991086,46.60299179684522,42.94495397343353,45.26016073071534,47.33702138711993,42.227872174228565,41.70800560150283,44.909726010367194,43.766362679731856,39.23844129368906,43.397678620005784,45.329443822124574,40.64457669179712,38.68806400882022,43.62786259956001,44.57485118404555,41.38828490392311,39.337458435941805,42.96010970591134,41.64821327092685,44.45881956062019,40.54370068095359,38.741730392795546,37.06586080701778,37.21017496221449,35.27691766312344,36.007495581654595,32.886682435881596,33.48093501136334,29.22375876616939,27.411626482790293,24.918221849656224,29.937645046474007,30.01050702017612,33.769520583229685,32.45617639462034,30.472830940987336,35.15806373109987,36.87608491499185,32.40675982280304,34.97472876077603,39.199101041112115,40.1451702056593,39.91976621723728,39.958066952626126,40.62595608942023,12.905754861476076,15.9500734583114,20.563357399587726,20.28009067121828,25.431119574531344,20.71144445169744,23.692426405791302,24.744915291002908,23.312870117602852,27.098237872294916,27.8213075384919,28.418299137843363,31.860359024104447,30.53040906197651,33.955415579138446,35.94774791840207,36.79394108994106,40.93841447258893,44.33273858466736,46.77401021315439,50.57981606514536,54.61641991999557,55.191717785151084,55.2260102767231,51.85483737276176,47.97436249252344,46.09023721906491,41.82668554600637,41.30960795131077,39.510960931730345,41.077391474481885,39.75136955924701,41.64797359025533,46.15390836259102,45.26369465169139,45.028733175018004,43.772055287169295,46.40312163812954,46.866536393776826,52.439044033995124,50.5487761408031,51.6015015449459,55.7864198929047,56.0042138015199,55.070269758965026,54.60606842451651,57.9298259940764,59.227997672934656,56.04745775040792,60.05413107605907,62.68402792191536,62.95375321390026,64.11251749866365,57.95605883552362,59.54836687364412,63.62733797028843,61.295261991908184,57.554583484590815,61.07893283773581,64.64390974911697,59.99581296568021,60.01921270050005,56.89926550595326,59.0969488171925,58.086734056908156,54.01446077501288,50.84422058215261,47.090152475072834,44.91081376955488,41.30751998286434,41.17636168972963,42.747679305838126,44.09708352329271,48.41303897309126,46.88245053402287,52.46212669116446,52.38270311189256,53.89262121275977,53.710531122251886,55.775501181078326,53.32613142730452,54.19348224182185,50.709956931892314,51.872830730469175,50.2747040435392,48.08091871650297,50.0683470845679,49.06583531792617,49.40679722635239,50.336734680790094,48.11581221316379,50.15018935651481,46.046981093007815,43.15572526972077,38.966908247672976,37.78597123766163,34.17577914851248,36.24410538093737,33.40425243111074,32.5551451991303,37.303636144286685,35.830901741689765,39.97976310552124,37.89105430175657,42.46541430320193,38.1541941310754,40.040404998018104,40.067152049266284,35.77107376015812,34.96115643625797,30.849742040246202,32.88514323095588,29.304438667780918,32.124327522806624,32.27111240236156,34.100968805198825,37.1312766556006,38.95501499254534,42.61303578713836,39.52391254506216,36.952027499647315,33.61538798974009,32.91624741990578,30.581449332705592,27.606040096660927,30.91373158929875,27.756489917928807,32.27966357268203,34.18827417216968,38.529569313769656,38.8670390219338,42.365772964840765,44.52894602834993,44.270421012423796,42.02169396347158,38.53039434540679,36.751682185800085,36.73902435936776,36.13871753879181,38.63896553511157,41.15978925303817,45.53898019985705,43.793991835308645,41.22582277817409,44.032153784132625,41.101324536353765,38.324900462721544,35.910836063617374,34.60730622709101,30.398413321260783,29.946805757179646,26.898710397390428,29.194542320147566,24.95498424554288,27.86384016371265,31.080394906135897,31.631671620522887,32.96412043155326,35.48722865674092,36.210757527305844,38.67015127072644,41.50840302291255,41.480394368999605,45.528791153517744,46.85916220342898,45.68885073047184,47.00148649758476,49.19759706483869,46.02955910532313,43.02673829694775,42.63319297695407,41.1872690212429,43.80771196817708,43.944346553477516,44.046954752612365,43.44756764684507,41.73511926314184,46.10625377546031,47.43884595439803,47.72097764892725,47.745364068643774,43.094106666546125,47.97690616495807,50.96289038656229,48.98143431695349,52.3452009592607,51.669269856532054,56.15964592704661,55.56206818997327,55.436484326837856,56.157881918237436,53.115120737473546,51.56115814015123,48.74223017573851,48.27040464471243,47.7212642987868,42.82979863211807,42.58288636294868,39.05963967575551,36.799275218086684,37.30931071965967,34.47668149204101,32.24259529533537,32.88686632318797,32.84460293239297,28.491390912249713,27.92774444980543,29.59943172532201,28.047680273710842,23.49870669457917,24.492634234186017,24.785740403665738,20.846803424681802,19.708542887720352,22.660819308575906,25.218617629790785,26.93211548042038,31.79713969652187,31.638664706423913,32.52408054063851,37.8788784617297,38.516163425997384,42.504701339490154,42.96690769516906,42.869586338993415,45.38937239603863,43.70704350436739,48.49511335376362,47.377534538687826,42.470998746776566,45.639350936234024,49.547203833348405,46.002009127204786,44.56023812065946,48.60883485729917,48.981577576833516,44.85993054086261,45.15535402275919,40.569155176214146,42.19579629411417,43.86596988728584,40.9369472170326,42.00513750488987,42.269200068932896,40.27505503910039,38.074715256280925,37.11049500501335,36.33274147858885,33.24676428493567,31.875343081008108,30.904818587623666,28.101363450434174,26.587423772250617,29.70940286494903,27.658392514478056,23.09931858853505,25.96243851746351,29.22587802596715,30.518920136653925,34.09899693744552,34.98247483447048,39.02664845640146,36.54032840510093,33.0073962056219,37.82141117931354,38.939214348675954,35.954687482465495,36.95485925336304,42.284175610240325,40.74749876715825,37.166947071216065,40.86306386406519,44.472843033498556,42.19310850332253,39.787198823575416,36.099404114000215,38.51753094337745,35.26965861407271,33.07872076702303,29.322594820662278,28.607785235594143,24.247795474671843,26.03896163785241,29.0505823335309,32.745366918631625,33.92803753730803,33.59253677072769,30.99161551134306,33.87900900812838,30.642461839969233,26.88529772402392,29.05528359245509,28.520696350062572,27.24902897517585,25.245002016369018,23.23503450257929,22.24166356565945,21.55695160096782,18.559674949816785,18.453635368453362,17.092670494937614,17.703988047954443,19.30271154830203,19.753454625047652]],"stdvs":[[0.7538683321297925,0.5786647243283926,0.8594540905435688,0.7223881822749214,0.5480714136284658,0.5210415929081017,0.4676981417324506,0.4225160581443439,0.43446504942123443,0.43324731901023694,0.46002648851624,0.48392027256523007,0.45071258435105427,0.45479957762027723,0.5007082796378437,0.4800520730477115,0.4827581077252557,0.5291456880783462,0.6818720213990719,0.6158155610631278,0.730979858169662,0.6781724109632992,0.886294720620195,1.010209735157955,0.8362022443004311,0.7921970810815936,0.573998771084516,0.45227501032629,0.4694694401436723,0.4238684488367314,0.5086001319150165,0.44195595671513027,0.48076899211891616,0.46462442514672503,0.44127969132849215,0.4604998980090156,0.3888691263734383,0.48516023131676045,0.371059807063107,0.4271066000103025,0.35998694422214605,0.5214052926821227,0.49332642570635243,0.5906791405192784,0.9276058358092453,1.1243365567912194,1.0530494895455655,0.6630804155478648,1.002197269443543,1.4049472243114813,0.8958565971130344,1.2113154365420258,1.1539446920518623,1.1846497673448817,1.235301036403325,0.9834846874431428,0.8457262506585639,1.2008052111327618,0.8502551727963602,1.4231711045993811,0.88841397957159,0.8116692036402077,0.725481571995082,0.8754497011034701,0.8971489922765681,0.6364054285538893,0.7494013872794216,0.6268940253977888,0.7726794533822546,0.6718801528782717,0.9360268227241324,1.1590035630773075,0.6713162190717729,0.8471556803117155,0.6924952962799051,0.7898475027291961,0.6341535340336298,0.5549251644754689,0.5872657777251252,0.6803268797401852,0.44942489647759887,0.6171807904689102,0.5571053840304435,0.6849853982663061,0.49314774014878043,0.3762805954263832,0.40329296462914976,0.5492778611048398,0.5034721002505447,0.5188580437523546,0.5354738436677998,0.6743863080691553,0.6200668575461071,0.5122209386962178,0.5074801724457507,0.5435565918024202,0.7153644649212362,0.5093690982461438,0.4779597120598516,0.43378278267261994,0.41559622585254524,0.4329202653382833,0.5482493518140913,0.3933462114094343,0.39557755607726336,0.4437889318767439,0.7005410972199886,0.5605150001698309,0.5583118744079559,0.5185506615012128,0.4822716205593913,0.4322557293534872,0.4015655133905635,0.43016190686663325,0.41017793394131513,0.43915092411009654,0.4468390327852402,0.46708163986573487,0.7553664554201922,0.5716694498843446,0.513873478398741,0.5000232243445331,0.5029197261389992,0.46577746980120754,0.46818963080150205,0.5223153330851475,0.6075429222626475,0.5024687104515981,0.5866416772750412,0.45160308811667177,0.5151500929077244,0.46103993392992254,0.511020224207941,0.4327657523134981,0.495630198886249,0.5167531314426472,0.64676373035629,0.572495724160865,0.4920488808915311,0.46630601149770784,0.61025380561054,0.6218496768006119,0.4501765421753781,0.44406293325646773,0.4075047746744003,0.4105726355659725,0.3885202905371352,0.3644082199266374,0.37628634372301134,0.4320579345196473,0.4797729168305461,0.43561278453353386,0.7174696785370445,0.6295174042164948,0.6179344850770845,0.4399235591632723,0.44577834053042426,0.4059665408713112,0.3851333547997813,0.4531239277161016,0.3550719088753632,0.3271132174996802,0.38327057101052675,0.30416505867317306,0.46403957790107936,0.720362143805409,0.6106567700782628,0.7087507235622336,0.6966728225448227,0.7431580704002037,0.5756093424097989,0.5170057574971818,0.418724388655338,0.33277437130685766,0.3100409265650644,0.3228406611134476,0.38628293877385,0.4983253675315671,0.4476845692847185,0.3952248404158896,0.4016085939601319,0.34952737626752167,0.4465111654285958,0.47710798261849935,0.44377031185751986,0.41732015789583443,0.40606740935680957,0.8749458218315068,1.050440951093332,1.7395775309757462,2.0596812426764015,1.591007718545928,0.9380290228853121,1.0080084439169539,0.785204637616458,0.6171412668060524,0.633234384179855,0.7313008229723901,0.6504281965871358,0.7310463102862006,0.7131619406569261,0.6870380733886314,0.5731878727951054,0.5521575636796471,0.585079304639774,0.5753754625802294,0.618598171756003,0.5563397917749325,0.5747150004703596,0.5863033933576827,0.604369141151767,0.5732075588646864,0.6381796148982535,0.780267745863353,0.7663524708936231,0.8398989838140809,0.6977629089638548,0.7032220420239695,0.5886170995565513,0.59132652902502,0.6142388043453303,1.5022669437442124,1.2041531509325754,1.1680836703534043,0.9099342695639251,0.8947772323148948,0.9128697935575497,1.1386865491343459,0.885720809350223,0.818495099964967,0.9123257790658557,1.0731085435168983,0.8189066873274493,0.8074526421371401,1.1906810327087878,0.9063749921183711,0.7914132666651266,0.9060189561852514,0.6613104503378147,0.9825510581660242,0.9640802777482448,0.9531274854945657,1.1188221020110019,1.19213991490187,1.2548544929538068,1.0244605601468815,0.9557669799849258,1.1150425215823874,0.9552089024106686,0.7370073770782165,0.8023320200564144,0.81173598929608,0.6480077539106568,0.6849092874352933,0.7109906601986768,0.8017221831082482,0.6695548763597917,0.6689083869886758,0.6412195158544257,0.6802264219463747,0.7282651730593679,0.8397401761419979,0.6557493723677866,0.6178488864631944,0.7160776205597353,0.6924027338556412,0.6675272077554137,0.6707488960444872,0.7367088668494167,0.7662688212663484,0.762550768113156,0.7127351368139064,0.9188889937277361,0.9404042739840809,0.8881180702623518,0.8911943214765323,1.3799586891317261,1.5325845477191689,0.9353673601350032,0.9292134410519328,0.7517892530426011,0.797116780589012,1.262883762785044,0.998571936949877,0.8823112842894968,0.7795463462659253,0.6920325496686726,0.6029661991146921,0.5417487992362848,0.5331587231575557,0.6649882479177799,0.5404126566011591,0.5491307502182958,0.7421140824957893,0.5336919607622186,0.5857390291126211,0.6691832597201567,0.9452324762917267,0.7805558527256133,0.7373002562901677,1.3980000931545273,2.5705688449468633,3.375143061401033,4.892423495590046,0.7146513798065192,0.5475917589084439,0.6188481247638695,0.5171231885410752,0.49404140329290014,0.5285002387517531,0.47251652537836863,0.5698729823670959,0.47750051988592424,0.43513492970664724,0.5054620717986759,0.6375463292474595,0.5070924007129246,0.4462487784828154,0.5996271723914628,0.575114712210711,0.5209323780050917,0.5623432961071742,0.6050442159095241,0.5602996252851963,0.5633976436457437,0.6304076147146087,0.7141759992628036,0.7447223782901297,0.8395910378398502,0.6689405773161607,0.5721282447338812,0.5419815935371329,0.5403957355096152,0.5833343603782818,0.5884665256484404,0.6674537062665645,0.7681483922206113,0.7090647672846921,0.6349707944841891,0.5717113426343358,0.6334327884578465,0.568788716799553,0.5232310897672195,0.5658644861690718,0.5799037579786233,0.6400020776515855,0.6307920273449275,0.8156122940424365,2.256454982636719,2.039626214263189,2.6987462432834897,1.355654841532001,0.7478358771532906,0.8904391402685202,0.8521627144453201,1.7826540165934919,1.0431385897964585,0.8402318199990477,1.37334955907254,0.9505191402583971,0.7509330267799319,0.9956898361910356,1.667802641967642,0.7671959971470724,0.6738080961248318,0.6258112337687713,0.5960645227549668,0.7670093792754512,0.6249156406207487,0.5814529550860611,0.7258334562649367,0.6410150544980097,0.7436776219035719,0.7165720799875945,0.9124838868332706,1.2616316132953989,0.9645806290742386,0.9169313862586135,0.663989329743089,1.11943146447749,0.6272074508303427,0.6568092831084744,0.636444569151267,0.6357983274721861,0.6991556332144621,0.7385788112359705,1.3958663879311772,0.6796357464092992,0.5776678213558949,0.6168565440899365,0.6000096340170137,0.7350909013662373,0.5807751103482385,0.7175139581935148,0.6526879278261352,0.7565703631326209,0.7178300916364669,0.695657711745789,0.6453681883411261,0.7228850632388397,0.6823713253521371,0.6890546266696209,0.7089165239753973,0.9743537524098143,0.7506357746948833,0.8907257526112904,0.7273107658492651,0.751053346313293,0.7224743247706001,0.6799665692378135,0.9303898854135385,0.616378646467723,0.6430150867101806,0.7921348933191614,0.6148463588706954,0.5403947491825521,0.495006137562286,0.49965891757411324,0.4585301451951244,0.4799436862175477,0.5922276779278247,0.6360462995858747,0.685525227219008,0.5986906945750526,0.581081241407788,0.5160713138589733,0.5026197242832958,0.4664857905087987,0.464996183003169,0.49943038464215944,0.5314027643742532,0.5158939284437943,0.5485515915132736,0.5810662835862993,0.5458816447007518,0.6421410458898037,0.563988041659868,0.6702380829414853,0.5888481070597177,0.7282623124802363,0.7389468968822045,0.5626034564819918,0.5813779291671166,0.4787596630835038,0.585004264277698,0.6167126852729435,0.582749019081467,0.4954830981470244,0.4986109230809444,0.5029729491137637,0.47890543302367017,0.5226847998585203,0.5033358479624269,0.520575178700662,0.6848283951655566,0.7064646521146544,1.0529791720212371,1.4815340246812756,1.1090927034770197,0.8400766863883984,0.6838617148209211,0.7260023860548902,0.620964757153636,0.6651296225148314,0.5104490260883275,0.542151185569149,0.5113125192947956,0.536250673490977,0.5195642141430771,0.7132341444339482,0.6124076069020595,0.8207151867127926,0.8468937538412944,0.8431427057985298,0.618845210407792,0.5452557611099387,0.5347213803644453,0.5843110749462943,0.5487690594777644,0.6116732205825577,0.6593383371656405,0.9583619763033313,0.6028639695831407,0.6682751400893309,0.5790061756958846,0.5695955257869291,0.5582303169930538,0.5681624512453537,0.5853802949217981,0.6773624005283644,0.6718475620036646,0.864686590756403,1.3283831119548801,1.2205688032573463,0.954931610488745,0.9421810873877339,0.8083354320001626,0.7447216844192232,0.6027594951820467,0.584519213487285,0.6154360110245214,0.5724639921862019,0.570052185747036,0.6586767986493667,0.6242492847451405,0.6880938651572079,0.608670845699289,0.6199109146031135,0.6729615659496493,0.6597999120437152,0.6528042201750481,0.6668323655895233,0.7808753336635239,0.6739941796746018,0.72097113311174,0.7728292395623617,0.7851453079106995,0.7891330372008065,0.8668526923912933,0.8618276702768132,1.039135831935056,0.9714008420002718,0.7953400569171948,0.8303332231271364,0.8019439513192252,1.9827349465849926,1.1167636156592218,1.7148566810520784,0.9064205802543719,0.9064066042461087,0.9559353205481124,0.8698227110951154,0.8448357169724792,0.735422731597065,0.8496206055902626,0.7654357266847546,0.9435237579844005,0.7435199001571567,0.9033687627535195,0.882363822652237,0.8641017675444005,1.02651826952692,0.7214731319816011,0.643380897616015,0.7028231545562963,0.8284946777495363,1.0125004778322806,1.3161957246851694,1.169496039707865,1.0407064349365271,1.0522623002484677,1.2229660882728928,1.0715416682617407,0.9024595839361288,1.1061663781033897,1.1814461958956273,0.9463749637474455,1.0395218047827646,1.2189052732482466,1.151906127024178,0.9858908466355061,1.053532977722787,0.9581640985332899,0.9717584904606006,0.8953534575225224,0.8809964841766961,0.8653670827568647,0.7485678844384452,0.7650093987288384,0.7721482575214774,0.7755931478462921,0.7084392112461103,0.7794304009168544,0.9521765237983854,0.7981782816161955,0.7708949828147568,0.8582872831428533,1.091726777726327,1.141075243131506,2.0312562540798953,1.561483691870189,1.1369683022436599,1.4251587196008646,1.0317707933954727,0.8311533951609532,0.7764516754569946,1.1359400487703768,1.0725997738072413,1.0994978883116608,1.026116485655224,0.801261553325558,0.6648739159533993,0.5687519821467614,0.5193174355791328,0.5690002604478024,0.6461580579622623,0.7589075822113652,1.5554978181645416,0.6512784871094928,0.6936644771040011,0.8253380105800083,0.9783765803899116,0.622779802854863,0.7132331668146773,1.172560752363589,1.2814791197722568,1.8573533337574832,2.1657525029491276]]}]}